Last dimension | Dimension = 2 | Next dimension
| Δ fopt f1, 2-D |
1e1 2.0 |
1e0 6.0 |
1e-1 6.0 |
1e-2 6.0 |
1e-3 6.0 |
1e-5 6.0 |
1e-7 6.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.3 (1) | 4.1 (5) | 11 (9) | 22 (8) | 32 (8) | 52 (4) | 74 (9) | 15/15 |
| BIPOPaCMA loshchilov | 3.0 (5) | 3.6 (3) | 7.5 (6) | 14 (4) | 18 (6) | 27 (7) | 36 (6) | 15/15 |
| BIPOPsaACM loshchilov | 4.9 (6) | 4.8 (5) | 7.9 (4) | 11 (2) | 13 (1) | 16 (3) | 20 (3) | 15/15 |
| CMAES posik | 3.4 (5) | 4.6 (4) | 9.0 (5) | 15 (5) | 19 (6) | 30 (5) | 41 (5) | 15/15 |
| CMA brockhoff | 2.6 (2) | 4.1 (3) | 9.4 (3) | 14 (4) | 18 (5) | 28 (7) | 38 (7) | 15/15 |
| CMAa brockhoff | 3.1 (5) | 3.0 (3) | 7.7 (4) | 11 (8) | 18 (6) | 27 (6) | 39 (8) | 15/15 |
| CMAm brockhoff | 2.8 (4) | 3.1 (3) | 6.0 (5) | 11 (5) | 15 (4) | 23 (4) | 31 (5) | 15/15 |
| CMAma brockhoff | 2.7 (4) | 3.6 (3) | 7.3 (4) | 11 (5) | 15 (5) | 23 (7) | 30 (7) | 15/15 |
| CMAmah brockhoff | 3.1 (3) | 3.1 (2) | 5.7 (3) | 9.2 (4) | 13 (4) | 20 (5) | 28 (5) | 15/15 |
| CMAmh brockhoff | 3.7 (5) | 2.5 (2) | 5.9 (3) | 9.2 (2) | 12 (4) | 21 (5) | 29 (3) | 15/15 |
| DBRCGA chuang | 1.6 (1) | 4.5 (3) | 14 (10) | 26 (9) | 37 (6) | 56 (10) | 79 (13) | 15/15 |
| DE-AUTO voglis | 1.4 (1) | 3.2 (4) | 8.3 (4) | 10 (0.2) | 10 (0.2) | 10 (0.2) | 10 (0.2) | 15/15 |
| DE-BFGS voglis | 2.6 (2) | 3.9 (2) | 8.7 (1) | 9.4 (0.2) | 9.4 (0.2) | 9.4 (0.2) | 9.4 (0.2) | 15/15 |
| DE-ROLL voglis | 1.9 (1) | 2.4 (3) | 11 (4) | 13 (2) | 13 (1) | 13 (1) | 13 (1) | 15/15 |
| DE-SIMPLEX voglis | 2.6 (2) | 4.9 (4) | 10 (5) | 12 (2) | 14 (2) | 16 (2) | 18 (2) | 15/15 |
| DEAE posik | 1.9 (2) | 5.0 (4) | 14 (8) | 25 (9) | 35 (10) | 53 (15) | 75 (13) | 15/15 |
| DE posik | 1.7 (2) | 3.4 (4) | 12 (7) | 22 (9) | 33 (11) | 51 (13) | 70 (20) | 15/15 |
| DEb posik | 1.7 (2) | 3.4 (4) | 12 (7) | 22 (9) | 33 (11) | 51 (13) | 70 (20) | 15/15 |
| DEctpb posik | 2.3 (2) | 4.4 (5) | 13 (7) | 24 (8) | 37 (8) | 54 (7) | 75 (8) | 15/15 |
| IPOPsaACM loshchilov | 2.8 (2) | 3.4 (3) | 6.6 (5) | 10 (3) | 12 (1) | 15 (2) | 19 (2) | 15/15 |
| JADE posik | 2.1 (2) | 3.8 (4) | 8.7 (5) | 14 (7) | 23 (7) | 37 (6) | 53 (7) | 15/15 |
| JADEb posik | 2.0 (3) | 2.5 (2) | 8.2 (3) | 12 (6) | 17 (6) | 30 (10) | 41 (9) | 15/15 |
| JADEctpb posik | 2.1 (2) | 3.8 (4) | 8.7 (5) | 14 (7) | 23 (7) | 37 (6) | 53 (7) | 15/15 |
| MVDE melo | 2.0 (3) | 3.5 (3) | 19 (16) | 45 (28) | 81 (23) | 134 (30) | 181 (41) | 15/15 |
| NBIPOPaCMA loshchilov | 4.3 (5) | 3.8 (4) | 7.2 (5) | 12 (6) | 16 (7) | 28 (5) | 38 (6) | 15/15 |
| NIPOPaCMA loshchilov | 2.3 (3) | 3.5 (4) | 7.2 (4) | 12 (4) | 17 (5) | 27 (4) | 35 (7) | 15/15 |
| PSO-BFGS voglis | 1.7 (3) | 5.0 (4) | 8.6 (3) | 9.4 (0.2) | 10 (0.2) | 10 (0.2) | 10 (0.2) | 15/15 |
| SNES schaul | 5.9 (6) | 4.2 (3) | 6.7 (6) | 13 (7) | 19 (9) | 40 (6) | 53 (13) | 15/15 |
| xNES schaul | 3.8 (4) | 3.9 (4) | 6.9 (6) | 10 (7) | 18 (8) | 33 (7) | 46 (8) | 15/15 |
| xNESas schaul | 5.9 (8) | 4.1 (5) | 7.5 (7) | 13 (8) | 19 (9) | 29 (9) | 42 (10) | 15/15 |
| Δ fopt f2, 2-D |
1e1 16 |
1e0 19 |
1e-1 25 |
1e-2 25 |
1e-3 26 |
1e-5 28 |
1e-7 29 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 13 (4) | 14 (2) | 13 (2) | 15 (2) | 17 (3) | 20 (2) | 24 (3) | 15/15 |
| BIPOPaCMA loshchilov | 14 (10) | 16 (9) | 14 (5) | 15 (3) | 16 (3) | 17 (3) | 18 (3) | 15/15 |
| BIPOPsaACM loshchilov | 6.5 (2) | 7.0 (2) | 5.7 (2) | 6.2 (1) | 6.4 (1) | 6.8 (1) | 7.3 (0.9) | 15/15 |
| CMAES posik | 18 (12) | 22 (7) | 20 (3) | 21 (4) | 21 (4) | 23 (3) | 24 (3) | 15/15 |
| CMA brockhoff | 13 (10) | 18 (9) | 17 (4) | 19 (3) | 20 (3) | 21 (3) | 22 (2) | 15/15 |
| CMAa brockhoff | 13 (9) | 15 (6) | 14 (2) | 15 (3) | 15 (3) | 16 (2) | 17 (2) | 15/15 |
| CMAm brockhoff | 12 (12) | 20 (10) | 17 (8) | 19 (4) | 19 (5) | 20 (4) | 21 (3) | 15/15 |
| CMAma brockhoff | 13 (9) | 19 (4) | 15 (2) | 17 (3) | 17 (3) | 17 (2) | 19 (2) | 15/15 |
| CMAmah brockhoff | 19 (14) | 23 (12) | 20 (3) | 21 (3) | 21 (3) | 21 (3) | 22 (3) | 15/15 |
| CMAmh brockhoff | 23 (15) | 27 (15) | 26 (3) | 27 (3) | 27 (3) | 27 (2) | 28 (3) | 15/15 |
| DBRCGA chuang | 11 (8) | 15 (8) | 16 (6) | 18 (5) | 19 (6) | 23 (4) | 29 (6) | 15/15 |
| DE-AUTO voglis | 4.4 (0.3) | 3.8 (0.2) | 3.0 (0.2) | 3.1 (0.2) | 3.2 (0.3) | 3.3 (0.3) | 3.4 (0.5) | 15/15 |
| DE-BFGS voglis | 4.1 (0.3) | 3.7 (0.3) | 3.0 (0.2) | 3.2 (0.3) | 3.2 (0.4) | 3.2 (0.3) | 3.3 (0.3) | 15/15 |
| DE-ROLL voglis | 5.1 (4) | 4.5 (3) | 3.5 (2) | 3.7 (2) | 3.7 (2) | 3.8 (2) | 4.1 (2) | 15/15 |
| DE-SIMPLEX voglis | 5.2 (1) | 5.3 (1) | 4.2 (1) | 4.6 (1.0) | 4.7 (0.9) | 4.9 (0.9) | 5.2 (0.8) | 15/15 |
| DEAE posik | 11 (5) | 12 (4) | 13 (2) | 15 (3) | 17 (3) | 21 (2) | 24 (3) | 15/15 |
| DE posik | 11 (3) | 12 (2) | 11 (3) | 13 (3) | 15 (3) | 18 (3) | 21 (4) | 15/15 |
| DEb posik | 11 (3) | 12 (2) | 11 (3) | 13 (3) | 15 (3) | 18 (3) | 21 (4) | 15/15 |
| DEctpb posik | 11 (5) | 12 (4) | 12 (3) | 14 (3) | 16 (3) | 19 (4) | 22 (5) | 15/15 |
| IPOPsaACM loshchilov | 5.2 (3) | 5.7 (2) | 5.3 (1) | 5.7 (0.7) | 5.9 (0.8) | 6.1 (0.9) | 6.7 (0.9) | 15/15 |
| JADE posik | 7.6 (3) | 9.4 (2) | 9.3 (2) | 11 (3) | 12 (2) | 15 (3) | 17 (2) | 15/15 |
| JADEb posik | 6.6 (1) | 7.6 (3) | 7.1 (2) | 8.1 (2) | 9.0 (2) | 11 (2) | 13 (2) | 15/15 |
| JADEctpb posik | 7.6 (3) | 9.4 (2) | 9.3 (2) | 11 (3) | 12 (2) | 15 (3) | 17 (2) | 15/15 |
| MVDE melo | 23 (8) | 28 (10) | 28 (7) | 35 (3) | 39 (6) | 50 (7) | 59 (5) | 15/15 |
| NBIPOPaCMA loshchilov | 14 (10) | 18 (6) | 15 (3) | 16 (3) | 17 (3) | 17 (4) | 19 (3) | 15/15 |
| NIPOPaCMA loshchilov | 11 (8) | 15 (7) | 14 (4) | 16 (2) | 16 (2) | 17 (2) | 19 (2) | 15/15 |
| PSO-BFGS voglis | 4.3 (0.3) | 3.8 (0.4) | 3.0 (0.4) | 3.2 (0.4) | 3.1 (0.4) | 3.1 (0.4) | 3.2 (0.4) | 15/15 |
| SNES schaul | 11 (7) | 12 (6) | 11 (3) | 13 (3) | 14 (3) | 17 (2) | 19 (2) | 15/15 |
| xNES schaul | 6.7 (6) | 11 (7) | 11 (4) | 12 (4) | 13 (3) | 15 (4) | 17 (4) | 15/15 |
| xNESas schaul | 9.2 (8) | 19 (20) | 17 (18) | 19 (19) | 27 (22) | 38 (19) | 42 (22) | 15/15 |
| Δ fopt f3, 2-D |
1e1 15 |
1e0 271 |
1e-1 445 |
1e-2 446 |
1e-3 450 |
1e-5 454 |
1e-7 464 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.0 (4) | 1.8 (2) | 17 (58) | 18 (58) | 18 (58) | 18 (57) | 18 (56) | 15/15 |
| BIPOPaCMA loshchilov | 3.3 (2) | 3.9 (3) | 7.6 (9) | 7.8 (9) | 7.9 (9) | 8.1 (9) | 8.2 (8) | 15/15 |
| BIPOPsaACM loshchilov | 6.1 (3) | 1.9 (2) | 5.0 (6) | 6.4 (7) | 6.8 (6) | 6.8 (6) | 7.1 (6) | 15/15 |
| CMAES posik | 3.8 (4) | 4.2 (4) | 10 (11) | 10 (11) | 10 (11) | 10 (11) | 10 (11) | 15/15 |
| CMA brockhoff | 3.9 (5) | 5.5 (5) | 8.0 (7) | 8.4 (8) | 8.5 (8) | 8.8 (8) | 9.0 (8) | 15/15 |
| CMAa brockhoff | 2.5 (3) | 3.2 (3) | 5.2 (4) | 5.6 (5) | 5.7 (5) | 5.9 (5) | 6.0 (5) | 15/15 |
| CMAm brockhoff | 2.7 (2) | 3.2 (3) | 5.9 (8) | 6.3 (8) | 6.6 (9) | 6.9 (9) | 7.0 (9) | 15/15 |
| CMAma brockhoff | 2.4 (2) | 2.8 (3) | 6.0 (7) | 9.1 (9) | 10 (10) | 10 (10) | 11 (10) | 15/15 |
| CMAmah brockhoff | 5.4 (5) | 5.2 (4) | 6.1 (4) | 6.3 (4) | 6.7 (4) | 6.9 (4) | 7.1 (4) | 15/15 |
| CMAmh brockhoff | 6.6 (16) | 3.9 (4) | 6.4 (7) | 7.5 (8) | 7.9 (8) | 8.2 (8) | 8.3 (8) | 15/15 |
| DBRCGA chuang | 2.8 (2) | 2.0 (0.7) | 2.4 (2) | 2.6 (2) | 2.8 (2) | 3.1 (2) | 3.7 (2) | 15/15 |
| DE-AUTO voglis | 3.5 (2) | 3.7 (5) | 5.8 (6) | 5.9 (6) | 5.9 (6) | 5.8 (6) | 5.7 (6) | 15/15 |
| DE-BFGS voglis | 6.3 (8) | 1.6 (1) | 1.7 (0.8) | 1.7 (0.9) | 1.7 (0.9) | 1.7 (0.9) | 1.7 (0.9) | 15/15 |
| DE-ROLL voglis | 4.4 (3) | 0.50 (0.4) | 1.5 (2) | 1.5 (2) | 1.5 (2) | 1.5 (2) | 1.5 (2) | 15/15 |
| DE-SIMPLEX voglis | 8.7 (8) | 2.7 (2) | 2.6 (2) | 2.7 (2) | 2.7 (2) | 2.7 (2) | 2.7 (2) | 15/15 |
| DEAE posik | 3.7 (3) | 1.9 (1) | 2.7 (3) | 2.9 (3) | 3.0 (3) | 3.3 (3) | 3.5 (3) | 15/15 |
| DE posik | 3.8 (3) | 0.96 (0.3) | 1.9 (3) | 2.0 (3) | 2.1 (3) | 2.3 (3) | 2.5 (3) | 15/15 |
| DEb posik | 3.8 (3) | 0.96 (0.3) | 1.9 (3) | 2.0 (3) | 2.1 (3) | 2.3 (3) | 2.5 (3) | 15/15 |
| DEctpb posik | 4.0 (3) | 1.3 (0.7) | 1.4 (0.7) | 1.6 (0.7) | 1.9 (0.8) | 2.3 (0.7) | 2.6 (0.6) | 15/15 |
| IPOPsaACM loshchilov | 3.1 (3) | 3.0 (3) | 5.2 (3) | 6.4 (7) | 7.0 (7) | 7.2 (9) | 7.2 (9) | 15/15 |
| JADE posik | 3.1 (2) | 0.96 (0.6) | 0.76 (0.4) | 1.0 (0.3) | 1.3 (0.4) | 1.5 (0.3) | 1.7 (0.3) | 15/15 |
| JADEb posik | 3.9 (2) | 1.3 (2) | 3.4 (3) | 3.5 (3) | 3.5 (3) | 3.7 (3) | 3.7 (3) | 15/15 |
| JADEctpb posik | 3.1 (2) | 0.96 (0.6) | 0.76 (0.4) | 1.0 (0.3) | 1.3 (0.4) | 1.5 (0.3) | 1.7 (0.3) | 15/15 |
| MVDE melo | 6.2 (4) | 1.9 (0.8) | 1.7 (0.6) | 2.1 (0.4) | 2.4 (0.3) | 3.3 (0.3) | 4.0 (0.5) | 15/15 |
| NBIPOPaCMA loshchilov | 5.8 (3) | 2.4 (4) | 8.8 (9) | 9.2 (9) | 10 (9) | 10 (9) | 10 (9) | 15/15 |
| NIPOPaCMA loshchilov | 3.3 (2) | 3.1 (4) | 10 (12) | 14 (23) | 16 (26) | 16 (27) | 17 (27) | 15/15 |
| PSO-BFGS voglis | 6.8 (6) | 1.6 (2) | 3.0 (3) | 3.0 (3) | 3.0 (3) | 2.9 (3) | 2.9 (3) | 15/15 |
| SNES schaul | 12 (6) | 5.8 (8) | 21 (29) | 34 (48) | 34 (47) | 34 (47) | 33 (46) | 15/15 |
| xNES schaul | 13 (2) | 13 (15) | 23 (27) | 24 (27) | 24 (27) | 24 (27) | 23 (26) | 15/15 |
| xNESas schaul | 13 (37) | 6.6 (7) | 20 (28) | 20 (28) | 20 (28) | 20 (27) | 20 (27) | 15/15 |
| Δ fopt f4, 2-D |
1e1 22 |
1e0 344 |
1e-1 459 |
1e-2 496 |
1e-3 523 |
1e-5 544 |
1e-7 566 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.4 (2) | 22 (75) | 92 (110) | 86 (102) | 82 (97) | 79 (93) | 76 (89) | 15/15 |
| BIPOPaCMA loshchilov | 4.0 (2) | 8.1 (15) | 41 (48) | 40 (48) | 39 (50) | 39 (51) | 38 (51) | 15/15 |
| BIPOPsaACM loshchilov | 3.7 (2) | 6.3 (7) | 34 (46) | 73 (89) | 92 (93) | 229 (387) | 224 (369) | 15/15 |
| CMAES posik | 4.5 (2) | 4.4 (5) | 42 (30) | 41 (32) | 42 (39) | 40 (38) | 39 (36) | 15/15 |
| CMA brockhoff | 2.6 (2) | 6.7 (9) | 50 (44) | 79 (51) | 95 (110) | 104 (119) | 105 (121) | 15/15 |
| CMAa brockhoff | 2.1 (1) | 11 (10) | 66 (50) | 108 (122) | 140 (231) | 151 (257) | 154 (262) | 15/15 |
| CMAm brockhoff | 2.1 (1) | 8.2 (10) | 74 (80) | 120 (118) | 163 (130) | 175 (134) | 178 (134) | 15/15 |
| CMAma brockhoff | 2.1 (2) | 10 (11) | 112 (91) | 208 (205) | 218 (210) | 241 (232) | 243 (234) | 15/15 |
| CMAmah brockhoff | 6.6 (13) | 7.3 (12) | 56 (53) | 117 (232) | 133 (246) | 144 (262) | 144 (261) | 15/15 |
| CMAmh brockhoff | 3.6 (3) | 7.0 (11) | 71 (93) | 135 (213) | 144 (209) | 161 (261) | 162 (259) | 15/15 |
| DBRCGA chuang | 3.6 (3) | 1.8 (1) | 2.7 (2) | 2.8 (2) | 2.7 (2) | 2.9 (2) | 3.1 (2) | 15/15 |
| DE-AUTO voglis | 2.6 (0.7) | 4.0 (8) | 8.4 (8) | 7.8 (7) | 7.4 (7) | 7.1 (6) | 6.8 (6) | 15/15 |
| DE-BFGS voglis | 3.4 (3) | 1.6 (1) | 2.7 (4) | 2.5 (3) | 2.4 (3) | 2.4 (3) | 2.3 (3) | 15/15 |
| DE-ROLL voglis | 2.3 (2) | 1.1 (1) | 2.4 (2) | 2.3 (2) | 2.2 (2) | 2.1 (2) | 2.0 (2) | 15/15 |
| DE-SIMPLEX voglis | 4.7 (3) | 1.9 (1) | 4.2 (7) | 3.9 (6) | 3.7 (6) | 3.6 (6) | 3.5 (6) | 15/15 |
| DEAE posik | 3.9 (3) | 2.8 (3) | 5.0 (4) | 4.8 (4) | 4.8 (4) | 4.8 (4) | 4.9 (3) | 15/15 |
| DE posik | 3.1 (2) | 2.1 (2) | 3.8 (5) | 3.6 (4) | 3.6 (4) | 4.0 (4) | 4.0 (4) | 15/15 |
| DEb posik | 3.1 (2) | 2.1 (2) | 3.8 (5) | 3.6 (4) | 3.6 (4) | 4.0 (4) | 4.0 (4) | 15/15 |
| DEctpb posik | 4.2 (1) | 1.2 (0.7) | 2.2 (3) | 2.2 (3) | 2.3 (2) | 2.6 (3) | 2.8 (2) | 15/15 |
| IPOPsaACM loshchilov | 2.5 (2) | 4.5 (4) | 69 (84) | 98 (71) | 283 (188) | 1074 (1459) | 1130 (1399) | 14/15 |
| JADE posik | 2.6 (2) | 1.1 (0.5) | 1.4 (2) | 1.4 (1) | 1.5 (1) | 1.7 (1) | 1.8 (1) | 15/15 |
| JADEb posik | 4.4 (2) | 2.6 (4) | 6.9 (6) | 6.5 (5) | 6.2 (5) | 6.1 (5) | 6.0 (5) | 15/15 |
| JADEctpb posik | 2.6 (2) | 1.1 (0.5) | 1.4 (2) | 1.4 (1) | 1.5 (1) | 1.7 (1) | 1.8 (1) | 15/15 |
| MVDE melo | 5.6 (4) | 1.7 (0.7) | 1.7 (0.5) | 2.1 (0.4) | 2.4 (0.5) | 3.0 (0.3) | 3.5 (0.4) | 15/15 |
| NBIPOPaCMA loshchilov | 2.4 (2) | 8.0 (6) | 67 (64) | 73 (75) | 71 (71) | 71 (85) | 69 (84) | 15/15 |
| NIPOPaCMA loshchilov | 3.8 (2) | 5.7 (7) | 120 (232) | 162 (223) | 177 (271) | 178 (264) | 175 (255) | 15/15 |
| PSO-BFGS voglis | 4.4 (5) | 2.1 (2) | 4.5 (4) | 4.1 (4) | 3.9 (4) | 3.8 (4) | 4.4 (6) | 15/15 |
| SNES schaul | 8.4 (2) | 12 (20) | 47 (49) | 44 (45) | 44 (43) | 42 (41) | 41 (39) | 15/15 |
| xNES schaul | 8.5 (2) | 20 (20) | 64 (58) | 60 (53) | 57 (51) | 55 (49) | 53 (47) | 15/15 |
| xNESas schaul | 11 (30) | 11 (12) | 46 (72) | 46 (67) | 44 (63) | 42 (61) | 41 (58) | 15/15 |
| Δ fopt f5, 2-D |
1e1 4.0 |
1e0 4.0 |
1e-1 4.0 |
1e-2 4.0 |
1e-3 4.0 |
1e-5 4.0 |
1e-7 4.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.6 (1) | 15 (1) | 17 (1) | 17 (1) | 17 (1) | 17 (1) | 17 (1) | 15/15 |
| BIPOPaCMA loshchilov | 2.6 (2) | 5.8 (5) | 6.2 (5) | 6.2 (5) | 6.2 (5) | 6.2 (5) | 6.2 (5) | 15/15 |
| BIPOPsaACM loshchilov | 3.6 (3) | 6.3 (4) | 7.1 (4) | 7.1 (4) | 7.1 (4) | 7.1 (4) | 7.1 (4) | 15/15 |
| CMAES posik | 2.8 (2) | 6.4 (4) | 6.7 (4) | 6.7 (4) | 6.8 (4) | 6.8 (4) | 6.8 (4) | 15/15 |
| CMA brockhoff | 3.5 (4) | 8.5 (8) | 9.2 (8) | 9.2 (8) | 9.2 (8) | 9.2 (8) | 9.2 (8) | 15/15 |
| CMAa brockhoff | 4.3 (4) | 6.7 (5) | 6.8 (5) | 6.9 (5) | 6.9 (5) | 6.9 (5) | 6.9 (5) | 15/15 |
| CMAm brockhoff | 2.5 (2) | 4.6 (2) | 5.0 (3) | 5.1 (3) | 5.1 (3) | 5.1 (3) | 5.1 (3) | 15/15 |
| CMAma brockhoff | 2.7 (2) | 4.7 (3) | 4.9 (3) | 4.9 (3) | 5.2 (3) | 5.2 (3) | 5.2 (3) | 15/15 |
| CMAmah brockhoff | 3.0 (2) | 5.2 (4) | 5.6 (4) | 5.7 (4) | 5.7 (4) | 5.7 (4) | 5.7 (4) | 15/15 |
| CMAmh brockhoff | 2.0 (2) | 3.5 (3) | 3.9 (3) | 3.9 (3) | 3.9 (3) | 3.9 (3) | 3.9 (3) | 15/15 |
| DBRCGA chuang | 3.1 (2) | 10 (5) | 12 (5) | 12 (5) | 12 (5) | 12 (5) | 12 (5) | 15/15 |
| DE-AUTO voglis | 3.3 (2) | 10 (4) | 11 (4) | 11 (4) | 11 (4) | 11 (4) | 11 (4) | 15/15 |
| DE-BFGS voglis | 5.4 (2) | 14 (3) | 14 (1) | 14 (1) | 14 (1) | 14 (1) | 14 (1) | 15/15 |
| DE-ROLL voglis | 3.3 (3) | 10 (3) | 12 (3) | 12 (3) | 12 (3) | 13 (3) | 13 (3) | 15/15 |
| DE-SIMPLEX voglis | 4.5 (2) | 9.0 (2) | 12 (7) | 13 (8) | 13 (8) | 15 (11) | 40 (67) | 15/15 |
| DEAE posik | 2.9 (2) | 10 (8) | 11 (9) | 12 (9) | 12 (9) | 12 (9) | 12 (9) | 15/15 |
| DE posik | 3.1 (3) | 8.4 (6) | 8.9 (7) | 8.9 (7) | 8.9 (7) | 8.9 (7) | 8.9 (7) | 15/15 |
| DEb posik | 3.1 (3) | 8.4 (6) | 8.9 (7) | 8.9 (7) | 8.9 (7) | 8.9 (7) | 8.9 (7) | 15/15 |
| DEctpb posik | 4.2 (4) | 10 (9) | 11 (9) | 12 (8) | 12 (8) | 12 (8) | 12 (8) | 15/15 |
| IPOPsaACM loshchilov | 2.8 (2) | 6.7 (6) | 7.5 (6) | 7.5 (6) | 7.5 (6) | 7.5 (6) | 7.5 (6) | 15/15 |
| JADE posik | 2.8 (2) | 10 (9) | 12 (8) | 12 (8) | 12 (8) | 12 (8) | 12 (8) | 15/15 |
| JADEb posik | 3.2 (3) | 7.0 (5) | 8.4 (6) | 8.6 (6) | 8.6 (6) | 8.6 (6) | 8.6 (6) | 15/15 |
| JADEctpb posik | 2.8 (2) | 10 (9) | 12 (8) | 12 (8) | 12 (8) | 12 (8) | 12 (8) | 15/15 |
| MVDE melo | 4.8 (6) | 37 (12) | 49 (16) | 49 (16) | 49 (16) | 49 (16) | 49 (16) | 15/15 |
| NBIPOPaCMA loshchilov | 3.7 (3) | 6.5 (4) | 7.0 (3) | 7.0 (3) | 7.0 (3) | 7.0 (3) | 7.0 (3) | 15/15 |
| NIPOPaCMA loshchilov | 2.9 (2) | 5.4 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 15/15 |
| PSO-BFGS voglis | 5.8 (6) | 15 (0.4) | 15 (0.4) | 15 (0.4) | 15 (0.4) | 15 (0.4) | 15 (0.4) | 15/15 |
| SNES schaul | 4.8 (3) | 11 (7) | 13 (8) | 13 (8) | 13 (8) | 13 (8) | 13 (8) | 15/15 |
| xNES schaul | 6.3 (3) | 15 (14) | 16 (13) | 16 (13) | 16 (13) | 16 (13) | 16 (13) | 15/15 |
| xNESas schaul | 5.4 (4) | 21 (32) | 22 (32) | 22 (33) | 22 (33) | 22 (33) | 22 (33) | 15/15 |
| Δ fopt f6, 2-D |
1e1 13 |
1e0 23 |
1e-1 41 |
1e-2 54 |
1e-3 67 |
1e-5 95 |
1e-7 124 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.1 (2) | 6.1 (3) | 6.0 (3) | 7.3 (1) | 8.1 (2) | 8.3 (2) | 8.9 (2) | 15/15 |
| BIPOPaCMA loshchilov | 1.9 (2) | 3.4 (3) | 3.1 (1) | 3.4 (0.8) | 3.5 (1) | 3.7 (1.0) | 3.8 (0.9) | 15/15 |
| BIPOPsaACM loshchilov | 2.2 (1) | 3.0 (1) | 3.1 (0.7) | 3.3 (1) | 4.0 (2) | 4.0 (2) | 4.2 (2) | 15/15 |
| CMAES posik | 2.6 (2) | 4.0 (4) | 4.3 (2) | 4.2 (2) | 4.3 (1) | 4.2 (1) | 4.3 (0.9) | 15/15 |
| CMA brockhoff | 2.1 (3) | 3.8 (3) | 4.1 (2) | 4.1 (1) | 3.9 (0.9) | 4.1 (0.9) | 4.1 (0.9) | 15/15 |
| CMAa brockhoff | 2.9 (4) | 4.3 (3) | 3.2 (3) | 4.0 (2) | 3.9 (1) | 3.9 (1) | 3.9 (0.7) | 15/15 |
| CMAm brockhoff | 3.9 (6) | 5.5 (2) | 4.3 (2) | 4.3 (2) | 4.4 (1.0) | 4.5 (2) | 4.6 (1) | 15/15 |
| CMAma brockhoff | 2.0 (3) | 3.7 (3) | 4.0 (2) | 4.1 (2) | 4.0 (2) | 4.1 (0.8) | 4.3 (0.7) | 15/15 |
| CMAmah brockhoff | 2.3 (2) | 3.6 (2) | 2.8 (1) | 2.7 (1) | 3.0 (0.6) | 2.9 (0.5) | 2.9 (0.4) | 15/15 |
| CMAmh brockhoff | 2.4 (2) | 3.3 (3) | 3.2 (2) | 3.3 (2) | 3.4 (1) | 3.2 (1) | 3.3 (0.8) | 15/15 |
| DBRCGA chuang | 2.0 (2) | 6.4 (3) | 6.7 (3) | 6.9 (3) | 7.4 (2) | 7.4 (2) | 8.1 (2) | 15/15 |
| DE-AUTO voglis | 1.5 (2) | 3.0 (1) | 2.3 (1) | 2.1 (0.8) | 1.9 (0.7) | 1.7 (0.7) | 1.5 (0.5) | 15/15 |
| DE-BFGS voglis | 1.9 (2) | 3.1 (2) | 2.4 (0.8) | 2.0 (0.5) | 1.8 (0.5) | 1.5 (0.3) | 1.6 (0.6) | 15/15 |
| DE-ROLL voglis | 1.4 (1) | 9.4 (7) | 22 (49) | 20 (45) | 18 (36) | 50 (52) | 136 (306) | 14/15 |
| DE-SIMPLEX voglis | 2.0 (2) | 3.0 (1) | 2.2 (0.4) | 2.0 (0.5) | 1.9 (0.8) | 1.6 (0.5) | 1.6 (0.7) | 15/15 |
| DEAE posik | 2.9 (3) | 5.3 (3) | 5.4 (3) | 5.9 (2) | 6.5 (1) | 6.4 (1) | 6.7 (2) | 15/15 |
| DE posik | 2.8 (2) | 4.7 (3) | 6.2 (2) | 7.0 (2) | 7.5 (2) | 8.0 (1) | 8.4 (2) | 15/15 |
| DEb posik | 2.8 (2) | 4.7 (3) | 6.2 (2) | 7.0 (2) | 7.5 (2) | 8.0 (1) | 8.4 (2) | 15/15 |
| DEctpb posik | 3.4 (3) | 5.9 (3) | 6.3 (3) | 8.0 (3) | 8.9 (2) | 8.9 (1) | 9.4 (2) | 15/15 |
| IPOPsaACM loshchilov | 2.5 (2) | 3.3 (2) | 4.2 (4) | 3.9 (3) | 3.8 (2) | 3.8 (2) | 3.9 (1) | 15/15 |
| JADE posik | 1.7 (1) | 3.6 (2) | 3.4 (2) | 4.3 (2) | 4.5 (1) | 4.8 (0.9) | 5.1 (0.6) | 15/15 |
| JADEb posik | 2.3 (3) | 3.0 (2) | 3.2 (2) | 3.5 (0.8) | 3.8 (1) | 4.3 (1) | 4.4 (1) | 15/15 |
| JADEctpb posik | 1.7 (1) | 3.6 (2) | 3.4 (2) | 4.3 (2) | 4.5 (1) | 4.8 (0.9) | 5.1 (0.6) | 15/15 |
| MVDE melo | 1.9 (2) | 8.5 (8) | 12 (5) | 17 (6) | 22 (9) | 28 (6) | 30 (8) | 15/15 |
| NBIPOPaCMA loshchilov | 2.7 (4) | 3.8 (3) | 3.5 (2) | 3.9 (2) | 3.9 (1) | 4.0 (1) | 4.0 (0.8) | 15/15 |
| NIPOPaCMA loshchilov | 3.9 (4) | 3.9 (3) | 3.2 (2) | 3.6 (1) | 3.8 (0.9) | 3.8 (0.6) | 3.9 (0.4) | 15/15 |
| PSO-BFGS voglis | 3.1 (3) | 3.8 (1) | 2.7 (0.7) | 2.3 (0.5) | 2.1 (0.5) | 1.7 (0.3) | 1.6 (0.4) | 15/15 |
| SNES schaul | 2.6 (3) | 3.3 (2) | 3.4 (2) | 4.1 (1) | 4.8 (2) | 5.0 (1) | 5.3 (2) | 15/15 |
| xNES schaul | 5.0 (4) | 4.6 (2) | 4.5 (4) | 5.7 (4) | 5.8 (3) | 5.5 (4) | 5.2 (3) | 15/15 |
| xNESas schaul | 5.4 (6) | 6.1 (4) | 14 (2) | 13 (3) | 11 (3) | 9.3 (2) | 8.5 (2) | 15/15 |
| Δ fopt f7, 2-D |
1e1 3.0 |
1e0 21 |
1e-1 60 |
1e-2 193 |
1e-3 217 |
1e-5 217 |
1e-7 241 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.0 (5) | 4.1 (4) | 3.8 (2) | 2.0 (2) | 2.0 (1) | 2.0 (1) | 2.5 (2) | 15/15 |
| BIPOPaCMA loshchilov | 6.7 (6) | 5.6 (6) | 3.2 (2) | 1.9 (1) | 1.9 (1) | 1.9 (1) | 1.9 (1) | 15/15 |
| BIPOPsaACM loshchilov | 4.7 (4) | 2.8 (3) | 2.5 (2) | 1.1 (0.7) | 1.2 (1.0) | 1.2 (1.0) | 1.2 (0.9) | 15/15 |
| CMAES posik | 5.6 (6) | 2.8 (4) | 2.6 (2) | 1.5 (3) | 1.6 (3) | 1.6 (3) | 2.2 (2) | 15/15 |
| CMA brockhoff | 3.4 (2) | 2.2 (3) | 1.8 (2) | 1.3 (1) | 1.4 (1) | 1.4 (1) | 1.8 (2) | 15/15 |
| CMAa brockhoff | 5.4 (7) | 2.6 (2) | 2.1 (2) | 1.1 (1) | 1.2 (0.9) | 1.2 (0.9) | 1.3 (0.8) | 15/15 |
| CMAm brockhoff | 5.7 (9) | 3.7 (5) | 2.1 (2) | 1.2 (1) | 1.1 (1) | 1.1 (1) | 1.2 (1) | 15/15 |
| CMAma brockhoff | 6.9 (8) | 3.6 (3) | 3.1 (3) | 1.2 (1.0) | 1.2 (1) | 1.2 (1) | 1.4 (1.0) | 15/15 |
| CMAmah brockhoff | 3.4 (4) | 2.1 (3) | 2.7 (3) | 1.1 (1.0) | 1.7 (1) | 1.7 (1) | 1.9 (1) | 15/15 |
| CMAmh brockhoff | 2.7 (2) | 2.4 (3) | 4.5 (4) | 1.8 (2) | 1.7 (1) | 1.7 (1) | 2.0 (2) | 15/15 |
| DBRCGA chuang | 4.6 (5) | 3.1 (3) | 2.9 (3) | 1.8 (1) | 2.9 (2) | 2.9 (2) | 3.7 (4) | 15/15 |
| DE-AUTO voglis | 3.3 (4) | 4.5 (10) | 12 (13) | 6.3 (7) | 9.2 (7) | 9.2 (7) | 8.4 (7) | 15/15 |
| DE-BFGS voglis | 3.6 (3) | 12 (4) | 6.0 (2) | 2.3 (1.0) | 2.3 (0.8) | 2.3 (0.8) | 5.4 (5) | 15/15 |
| DE-ROLL voglis | 5.4 (7) | 7.0 (7) | 6.5 (8) | 2.8 (3) | 3.7 (3) | 3.7 (3) | 4.1 (3) | 15/15 |
| DE-SIMPLEX voglis | 5.0 (6) | 2.7 (2) | 2.2 (1) | 1.0 (0.7) | 1.1 (0.9) | 1.1 (0.9) | 1.2 (0.9) | 15/15 |
| DEAE posik | 5.8 (9) | 3.5 (3) | 3.0 (2) | 1.4 (0.7) | 1.6 (0.7) | 1.6 (0.7) | 1.7 (0.4) | 15/15 |
| DE posik | 5.5 (7) | 3.0 (3) | 2.9 (1) | 1.3 (0.7) | 1.7 (1) | 1.7 (1) | 1.9 (1) | 15/15 |
| DEb posik | 5.5 (7) | 3.0 (3) | 2.9 (1) | 1.3 (0.7) | 1.7 (1) | 1.7 (1) | 1.9 (1) | 15/15 |
| DEctpb posik | 9.2 (11) | 3.8 (3) | 3.4 (1.0) | 1.7 (0.8) | 1.7 (0.8) | 1.7 (0.8) | 2.1 (0.9) | 15/15 |
| IPOPsaACM loshchilov | 4.8 (3) | 5.1 (6) | 3.7 (3) | 1.5 (0.9) | 1.3 (0.8) | 1.3 (0.8) | 1.6 (0.8) | 15/15 |
| JADE posik | 6.2 (9) | 2.6 (2) | 2.0 (1.0) | 0.90 (0.3) | 0.97 (0.2) | 0.97 (0.2) | 1.1 (0.3) | 15/15 |
| JADEb posik | 2.6 (3) | 1.8 (2) | 4.1 (0.6) | 1.5 (0.7) | 34 (6) | 34 (6) | 31 (5) | 14/15 |
| JADEctpb posik | 6.2 (9) | 2.6 (2) | 2.0 (1.0) | 0.90 (0.3) | 0.97 (0.2) | 0.97 (0.2) | 1.1 (0.3) | 15/15 |
| MVDE melo | 6.6 (6) | 4.3 (4) | 5.6 (4) | 3.0 (2) | 4.0 (2) | 4.0 (2) | 5.1 (2) | 15/15 |
| NBIPOPaCMA loshchilov | 6.3 (3) | 3.6 (3) | 3.2 (3) | 1.6 (1) | 1.7 (1) | 1.7 (1) | 1.8 (2) | 15/15 |
| NIPOPaCMA loshchilov | 4.8 (6) | 3.0 (3) | 3.6 (3) | 1.7 (1) | 1.6 (1) | 1.6 (1) | 1.6 (1) | 15/15 |
| PSO-BFGS voglis | 19 (30) | 54 (113) | 79 (103) | 27 (32) | 27 (29) | 27 (29) | 90 (116) | 12/15 |
| SNES schaul | 7.0 (6) | 34 (95) | 21 (34) | 11 (21) | 11 (19) | 11 (19) | 22 (36) | 13/15 |
| xNES schaul | 51 (7) | 39 (50) | 28 (33) | 9.0 (10) | 12 (16) | 12 (16) | 11 (17) | 15/15 |
| xNESas schaul | 5.5 (5) | 38 (96) | 26 (34) | 8.2 (11) | 7.4 (9) | 7.4 (9) | 7.8 (8) | 15/15 |
| Δ fopt f8, 2-D |
1e1 5.0 |
1e0 12 |
1e-1 37 |
1e-2 46 |
1e-3 86 |
1e-5 94 |
1e-7 112 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.4 (6) | 12 (8) | 12 (3) | 19 (8) | 17 (4) | 32 (7) | 39 (6) | 15/15 |
| BIPOPaCMA loshchilov | 4.7 (4) | 8.9 (8) | 8.0 (5) | 8.6 (4) | 5.3 (2) | 5.6 (2) | 5.2 (2) | 15/15 |
| BIPOPsaACM loshchilov | 5.2 (5) | 6.2 (8) | 3.8 (3) | 4.0 (3) | 2.5 (1) | 2.6 (1) | 2.4 (1) | 15/15 |
| CMAES posik | 7.1 (7) | 12 (19) | 9.5 (6) | 10 (7) | 6.1 (4) | 6.5 (3) | 6.0 (2) | 15/15 |
| CMA brockhoff | 6.7 (7) | 12 (17) | 7.4 (7) | 8.6 (5) | 5.4 (3) | 5.8 (3) | 5.4 (2) | 15/15 |
| CMAa brockhoff | 7.6 (4) | 13 (14) | 8.1 (8) | 8.8 (6) | 5.2 (4) | 5.5 (3) | 5.2 (3) | 15/15 |
| CMAm brockhoff | 5.2 (4) | 8.0 (12) | 10 (7) | 10 (7) | 6.1 (3) | 6.5 (3) | 5.9 (2) | 15/15 |
| CMAma brockhoff | 7.2 (8) | 8.4 (10) | 5.7 (6) | 6.9 (6) | 4.5 (3) | 4.7 (3) | 4.5 (2) | 15/15 |
| CMAmah brockhoff | 4.0 (5) | 6.4 (10) | 7.2 (6) | 8.6 (4) | 5.3 (2) | 5.4 (2) | 5.1 (2) | 15/15 |
| CMAmh brockhoff | 4.4 (4) | 14 (22) | 9.3 (11) | 12 (6) | 7.2 (4) | 7.3 (4) | 6.6 (3) | 15/15 |
| DBRCGA chuang | 4.8 (5) | 7.1 (5) | 12 (22) | 17 (24) | 15 (14) | 18 (15) | 19 (14) | 15/15 |
| DE-AUTO voglis | 5.8 (5) | 6.5 (4) | 3.0 (1) | 2.7 (1.0) | 1.6 (0.5) | 1.5 (0.5) | 1.3 (0.4) | 15/15 |
| DE-BFGS voglis | 5.9 (6) | 8.6 (3) | 3.6 (0.9) | 3.3 (0.7) | 1.8 (0.4) | 1.7 (0.3) | 1.5 (0.3) | 15/15 |
| DE-ROLL voglis | 33 (5) | 49 (86) | 103 (141) | 218 (205) | 209 (117) | 312 (117) | 1189 (1075) | 6/15 |
| DE-SIMPLEX voglis | 5.5 (5) | 6.3 (6) | 3.2 (2) | 2.9 (1) | 1.7 (0.7) | 1.7 (0.6) | 1.5 (0.5) | 15/15 |
| DEAE posik | 6.6 (8) | 11 (10) | 8.2 (5) | 10 (5) | 6.8 (3) | 7.7 (2) | 7.4 (2) | 15/15 |
| DE posik | 7.4 (6) | 9.5 (8) | 7.3 (4) | 9.3 (5) | 6.2 (2) | 8.7 (3) | 9.4 (3) | 15/15 |
| DEb posik | 7.4 (6) | 9.5 (8) | 7.3 (4) | 9.3 (5) | 6.2 (2) | 8.7 (3) | 9.4 (3) | 15/15 |
| DEctpb posik | 11 (14) | 18 (22) | 12 (12) | 14 (10) | 8.7 (7) | 12 (5) | 13 (4) | 15/15 |
| IPOPsaACM loshchilov | 6.2 (5) | 11 (14) | 6.4 (5) | 6.4 (4) | 3.8 (2) | 3.8 (2) | 3.4 (2) | 15/15 |
| JADE posik | 4.2 (5) | 7.0 (6) | 6.7 (5) | 10 (5) | 6.0 (3) | 7.1 (3) | 7.2 (2) | 15/15 |
| JADEb posik | 5.2 (4) | 11 (16) | 7.8 (8) | 8.8 (6) | 5.4 (4) | 6.0 (3) | 6.1 (3) | 15/15 |
| JADEctpb posik | 4.2 (5) | 7.0 (6) | 6.7 (5) | 10 (5) | 6.0 (3) | 7.1 (3) | 7.2 (2) | 15/15 |
| MVDE melo | 10 (7) | 20 (13) | 20 (20) | 34 (15) | 22 (8) | 32 (10) | 36 (9) | 15/15 |
| NBIPOPaCMA loshchilov | 4.3 (4) | 11 (13) | 7.7 (7) | 8.6 (6) | 5.2 (3) | 5.5 (3) | 5.1 (3) | 15/15 |
| NIPOPaCMA loshchilov | 5.3 (4) | 10 (8) | 7.5 (7) | 8.5 (5) | 5.2 (3) | 5.4 (2) | 5.0 (2) | 15/15 |
| PSO-BFGS voglis | 8.7 (7) | 10 (2) | 4.1 (0.9) | 3.6 (0.7) | 2.0 (0.4) | 1.9 (0.3) | 1.6 (0.3) | 15/15 |
| SNES schaul | 6.9 (5) | 881 (1273) | 572 (1246) | 824 (1240) | 731 (707) | 1282 (1085) | 1523 (906) | 13/15 |
| xNES schaul | 6.9 (8) | 15 (18) | 21 (13) | 22 (16) | 13 (10) | 13 (10) | 12 (8) | 15/15 |
| xNESas schaul | 4.0 (4) | 17 (20) | 16 (32) | 18 (27) | 11 (14) | 11 (14) | 10 (12) | 15/15 |
| Δ fopt f9, 2-D |
1e1 1 |
1e0 18 |
1e-1 30 |
1e-2 44 |
1e-3 68 |
1e-5 81 |
1e-7 92 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 28 (18) | 4.9 (4) | 7.8 (5) | 11 (5) | 12 (8) | 21 (12) | 26 (18) | 15/15 |
| BIPOPaCMA loshchilov | 28 (30) | 3.2 (2) | 7.1 (4) | 7.2 (3) | 5.3 (2) | 5.3 (1) | 5.4 (1) | 15/15 |
| BIPOPsaACM loshchilov | 19 (14) | 5.9 (6) | 7.5 (5) | 6.6 (4) | 4.6 (2) | 4.2 (2) | 3.9 (2) | 15/15 |
| CMAES posik | 21 (20) | 5.7 (9) | 9.0 (8) | 9.1 (6) | 6.5 (4) | 6.7 (3) | 6.5 (3) | 15/15 |
| CMA brockhoff | 40 (24) | 7.8 (5) | 11 (8) | 10 (6) | 7.6 (4) | 7.4 (3) | 7.2 (2) | 15/15 |
| CMAa brockhoff | 26 (28) | 6.8 (9) | 10 (8) | 9.1 (5) | 6.7 (3) | 6.5 (3) | 6.3 (3) | 15/15 |
| CMAm brockhoff | 25 (20) | 6.6 (11) | 10 (10) | 9.1 (7) | 6.8 (5) | 6.7 (4) | 6.4 (3) | 15/15 |
| CMAma brockhoff | 19 (21) | 4.9 (5) | 8.4 (8) | 7.5 (6) | 5.8 (4) | 5.6 (3) | 5.5 (2) | 15/15 |
| CMAmah brockhoff | 39 (24) | 5.6 (2) | 8.8 (6) | 8.5 (5) | 6.4 (2) | 6.2 (2) | 6.2 (2) | 15/15 |
| CMAmh brockhoff | 44 (15) | 10 (15) | 13 (11) | 13 (8) | 9.2 (5) | 8.6 (4) | 8.2 (4) | 15/15 |
| DBRCGA chuang | 31 (28) | 6.1 (4) | 12 (12) | 18 (21) | 18 (15) | 18 (12) | 18 (13) | 15/15 |
| DE-AUTO voglis | 35 (27) | 5.8 (2) | 4.8 (2) | 3.6 (1) | 2.5 (0.7) | 2.1 (0.6) | 1.9 (0.5) | 15/15 |
| DE-BFGS voglis | 22 (28) | 4.9 (2) | 3.8 (2) | 3.1 (1) | 2.1 (0.7) | 1.9 (0.6) | 1.7 (0.5) | 15/15 |
| DE-ROLL voglis | 23 (23) | 32 (65) | 95 (135) | 158 (138) | 206 (149) | 296 (172) | 1543 (2411) | 9/15 |
| DE-SIMPLEX voglis | 37 (21) | 4.0 (2) | 3.4 (2) | 2.7 (1) | 1.9 (0.8) | 1.8 (0.7) | 1.7 (0.6) | 15/15 |
| DEAE posik | 26 (28) | 5.7 (4) | 7.4 (4) | 8.6 (4) | 7.0 (2) | 7.3 (2) | 7.9 (2) | 15/15 |
| DE posik | 45 (42) | 7.7 (6) | 10 (7) | 10 (8) | 8.4 (6) | 10 (3) | 12 (3) | 15/15 |
| DEb posik | 45 (42) | 7.7 (6) | 10 (7) | 10 (8) | 8.4 (6) | 10 (3) | 12 (3) | 15/15 |
| DEctpb posik | 38 (27) | 8.5 (6) | 15 (8) | 16 (6) | 12 (5) | 14 (5) | 16 (4) | 15/15 |
| IPOPsaACM loshchilov | 19 (20) | 6.3 (7) | 7.8 (6) | 6.4 (3) | 4.5 (3) | 4.2 (2) | 3.8 (2) | 15/15 |
| JADE posik | 31 (21) | 3.9 (2) | 6.3 (3) | 6.1 (2) | 5.7 (2) | 6.9 (2) | 7.3 (1) | 15/15 |
| JADEb posik | 26 (27) | 5.5 (7) | 8.3 (11) | 7.8 (8) | 6.2 (5) | 6.3 (4) | 6.5 (3) | 15/15 |
| JADEctpb posik | 31 (21) | 3.9 (2) | 6.3 (3) | 6.1 (2) | 5.7 (2) | 6.9 (2) | 7.3 (1) | 15/15 |
| MVDE melo | 30 (41) | 11 (8) | 22 (13) | 33 (18) | 28 (14) | 37 (15) | 44 (16) | 15/15 |
| NBIPOPaCMA loshchilov | 25 (25) | 7.1 (6) | 9.0 (7) | 8.9 (5) | 6.5 (3) | 6.4 (3) | 6.2 (3) | 15/15 |
| NIPOPaCMA loshchilov | 27 (14) | 6.6 (11) | 8.8 (8) | 7.7 (6) | 5.8 (3) | 5.9 (3) | 5.8 (3) | 15/15 |
| PSO-BFGS voglis | 42 (30) | 4.2 (2) | 3.6 (1) | 2.9 (0.6) | 2.0 (0.4) | 1.8 (0.3) | 1.6 (0.3) | 15/15 |
| SNES schaul | 16 (15) | 14 (18) | 175 (126) | 375 (309) | 442 (427) | 739 (791) | 1052 (1009) | 13/15 |
| xNES schaul | 18 (16) | 10 (14) | 16 (17) | 20 (29) | 16 (20) | 15 (23) | 14 (20) | 15/15 |
| xNESas schaul | 27 (31) | 4.7 (5) | 14 (20) | 16 (23) | 12 (17) | 11 (15) | 10 (13) | 15/15 |
| Δ fopt f10, 2-D |
1e1 30 |
1e0 46 |
1e-1 54 |
1e-2 61 |
1e-3 68 |
1e-5 82 |
1e-7 98 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 79 (125) | 140 (184) | 281 (344) | 447 (418) | 557 (397) | 759 (518) | 871 (630) | 15/15 |
| BIPOPaCMA loshchilov | 7.0 (6) | 6.6 (3) | 6.6 (2) | 6.2 (2) | 6.0 (1) | 5.7 (1) | 5.4 (0.9) | 15/15 |
| BIPOPsaACM loshchilov | 3.5 (1) | 2.5 (0.7) | 2.4 (0.6) | 2.4 (0.3) | 2.3 (0.5) | 2.2 (0.3) | 2.0 (0.3) | 15/15 |
| CMAES posik | 10 (6) | 8.1 (3) | 7.6 (2) | 7.4 (2) | 7.3 (2) | 6.9 (1) | 6.5 (1) | 15/15 |
| CMA brockhoff | 8.7 (6) | 8.2 (3) | 7.9 (2) | 7.6 (1) | 7.2 (1) | 6.7 (1) | 6.3 (1) | 15/15 |
| CMAa brockhoff | 5.9 (5) | 5.8 (3) | 6.1 (2) | 6.0 (2) | 5.9 (1) | 5.6 (1) | 5.3 (0.8) | 15/15 |
| CMAm brockhoff | 7.1 (6) | 7.3 (4) | 8.3 (2) | 8.2 (1) | 7.7 (1) | 7.0 (1) | 6.3 (0.8) | 15/15 |
| CMAma brockhoff | 6.4 (4) | 6.2 (3) | 6.2 (1) | 6.0 (1) | 5.8 (1) | 5.4 (0.9) | 5.0 (1) | 15/15 |
| CMAmah brockhoff | 10 (8) | 10 (2) | 9.1 (2) | 8.5 (2) | 8.3 (2) | 7.4 (1) | 6.7 (1) | 15/15 |
| CMAmh brockhoff | 13 (10) | 11 (7) | 12 (1) | 11 (1) | 11 (2) | 9.3 (1) | 8.4 (1.0) | 15/15 |
| DBRCGA chuang | 7.8 (3) | 17 (16) | 23 (32) | 29 (29) | 28 (26) | 27 (21) | 28 (18) | 15/15 |
| DE-AUTO voglis | 2.3 (0.1) | 1.6 (0.1) | 1.4 (0.1) | 1.3 (0.1) | 1.2 (0.2) | 1.1 (0.1) | 1.9 (0.2) | 15/15 |
| DE-BFGS voglis | 2.2 (0.3) | 1.6 (0.2) | 1.4 (0.2) | 1.3 (0.2) | 1.3 (0.3) | 1.1 (0.3) | 1.1 (0.4) | 15/15 |
| DE-ROLL voglis | 29 (34) | 83 (101) | 234 (149) | 307 (182) | 343 (208) | 439 (136) | 1260 (664) | 5/15 |
| DE-SIMPLEX voglis | 2.8 (0.7) | 2.1 (0.4) | 1.9 (0.4) | 1.9 (0.2) | 1.8 (0.2) | 1.7 (0.2) | 1.5 (0.1) | 15/15 |
| DEAE posik | 5.9 (2) | 5.0 (1) | 5.4 (2) | 6.2 (1) | 6.5 (0.8) | 6.6 (1) | 7.5 (1.0) | 15/15 |
| DE posik | 11 (9) | 11 (6) | 12 (4) | 14 (6) | 15 (6) | 16 (5) | 17 (4) | 15/15 |
| DEb posik | 11 (9) | 11 (6) | 12 (4) | 14 (6) | 15 (6) | 16 (5) | 17 (4) | 15/15 |
| DEctpb posik | 11 (8) | 11 (4) | 12 (3) | 13 (3) | 14 (3) | 15 (3) | 16 (2) | 15/15 |
| IPOPsaACM loshchilov | 3.3 (1) | 2.6 (1) | 2.8 (1) | 2.8 (0.9) | 2.7 (0.9) | 2.5 (0.7) | 2.3 (0.6) | 15/15 |
| JADE posik | 4.8 (3) | 5.4 (3) | 5.7 (2) | 6.2 (1) | 6.7 (2) | 7.2 (1) | 7.3 (1) | 15/15 |
| JADEb posik | 5.7 (3) | 6.8 (6) | 7.4 (4) | 8.0 (4) | 8.1 (4) | 7.9 (3) | 7.4 (3) | 15/15 |
| JADEctpb posik | 4.8 (3) | 5.4 (3) | 5.7 (2) | 6.2 (1) | 6.7 (2) | 7.2 (1) | 7.3 (1) | 15/15 |
| MVDE melo | 21 (18) | 27 (13) | 33 (13) | 40 (9) | 44 (5) | 53 (9) | 56 (8) | 15/15 |
| NBIPOPaCMA loshchilov | 6.4 (5) | 5.6 (4) | 5.7 (2) | 5.6 (2) | 5.6 (1) | 5.4 (0.9) | 5.2 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 7.7 (6) | 7.0 (3) | 7.0 (2) | 6.6 (1.0) | 6.4 (0.8) | 6.2 (1) | 5.8 (0.8) | 15/15 |
| PSO-BFGS voglis | 2.4 (0.4) | 1.6 (0.2) | 1.4 (0.2) | 1.3 (0.2) | 1.2 (0.3) | 1.1 (0.2) | 1.2 (0.6) | 15/15 |
| SNES schaul | 273 (68) | 363 (242) | 1546 (1465) | 4289 (4797) | 1.4e4 (2e4) | ∞ | ∞2e5 | 0/15 |
| xNES schaul | 5.7 (3) | 5.7 (2) | 5.5 (2) | 5.8 (2) | 6.1 (1) | 5.9 (1) | 5.8 (0.9) | 15/15 |
| xNESas schaul | 3.5 (2) | 4.8 (2) | 5.0 (1) | 5.4 (3) | 5.7 (4) | 8.3 (3) | 7.7 (3) | 15/15 |
| Δ fopt f11, 2-D |
1e1 35 |
1e0 45 |
1e-1 50 |
1e-2 62 |
1e-3 67 |
1e-5 81 |
1e-7 97 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 83 (103) | 196 (216) | 320 (299) | 445 (434) | 603 (475) | 810 (447) | 883 (503) | 15/15 |
| BIPOPaCMA loshchilov | 6.6 (4) | 6.5 (3) | 7.3 (1) | 6.3 (1) | 6.3 (1.0) | 5.9 (0.8) | 5.5 (0.8) | 15/15 |
| BIPOPsaACM loshchilov | 2.6 (0.8) | 2.5 (0.5) | 2.5 (0.3) | 2.2 (0.2) | 2.2 (0.3) | 2.1 (0.2) | 1.9 (0.2) | 15/15 |
| CMAES posik | 6.7 (6) | 7.8 (3) | 8.4 (2) | 7.3 (1) | 7.4 (1) | 6.9 (0.6) | 6.5 (0.7) | 15/15 |
| CMA brockhoff | 7.2 (6) | 9.2 (3) | 9.2 (2) | 7.9 (2) | 7.8 (2) | 7.1 (1) | 6.4 (1) | 15/15 |
| CMAa brockhoff | 4.4 (3) | 5.9 (3) | 6.8 (0.9) | 6.1 (0.9) | 6.1 (0.8) | 5.9 (0.8) | 5.6 (0.6) | 15/15 |
| CMAm brockhoff | 7.2 (6) | 8.6 (5) | 8.9 (2) | 7.8 (2) | 7.6 (2) | 6.9 (1) | 6.3 (1) | 15/15 |
| CMAma brockhoff | 4.6 (4) | 6.7 (3) | 6.8 (2) | 5.9 (1) | 5.8 (1) | 5.5 (1) | 5.1 (0.9) | 15/15 |
| CMAmah brockhoff | 8.3 (6) | 9.3 (5) | 10 (2) | 8.7 (1) | 8.6 (1) | 7.6 (1) | 6.9 (0.9) | 15/15 |
| CMAmh brockhoff | 7.2 (8) | 8.8 (7) | 13 (2) | 11 (1) | 11 (1) | 9.5 (0.8) | 8.4 (0.7) | 15/15 |
| DBRCGA chuang | 8.0 (4) | 10 (11) | 13 (11) | 13 (8) | 15 (8) | 17 (9) | 20 (9) | 15/15 |
| DE-AUTO voglis | 2.0 (0.2) | 1.6 (0.2) | 1.5 (0.2) | 1.3 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 1.4 (0.2) | 15/15 |
| DE-BFGS voglis | 1.9 (0.2) | 1.5 (0.1) | 1.4 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.0 (0.1) | 0.92 (0.1) | 15/15 |
| DE-ROLL voglis | 195 (319) | 207 (316) | 313 (266) | 319 (227) | 416 (254) | 485 (312) | 1585 (1647) | 7/15 |
| DE-SIMPLEX voglis | 2.4 (0.6) | 2.2 (0.5) | 2.1 (0.3) | 1.9 (0.2) | 1.9 (0.2) | 1.7 (0.2) | 1.6 (0.1) | 15/15 |
| DEAE posik | 5.0 (2) | 5.4 (2) | 6.1 (1) | 6.0 (1) | 6.2 (0.7) | 6.9 (1.0) | 6.9 (0.9) | 15/15 |
| DE posik | 7.2 (3) | 9.4 (4) | 11 (4) | 13 (7) | 13 (7) | 15 (6) | 15 (4) | 15/15 |
| DEb posik | 7.2 (3) | 9.4 (4) | 11 (4) | 13 (7) | 13 (7) | 15 (6) | 15 (4) | 15/15 |
| DEctpb posik | 8.6 (4) | 9.5 (3) | 12 (4) | 12 (2) | 13 (2) | 15 (2) | 15 (2) | 15/15 |
| IPOPsaACM loshchilov | 2.8 (1) | 2.9 (0.8) | 2.9 (0.9) | 2.5 (0.7) | 2.5 (0.6) | 2.2 (0.5) | 2.2 (0.5) | 15/15 |
| JADE posik | 4.4 (2) | 5.4 (2) | 6.2 (1) | 6.1 (1) | 6.5 (1) | 7.1 (1) | 6.9 (1) | 15/15 |
| JADEb posik | 4.6 (4) | 7.2 (6) | 7.9 (6) | 7.1 (5) | 7.5 (5) | 7.6 (4) | 7.5 (3) | 15/15 |
| JADEctpb posik | 4.4 (2) | 5.4 (2) | 6.2 (1) | 6.1 (1) | 6.5 (1) | 7.1 (1) | 6.9 (1) | 15/15 |
| MVDE melo | 16 (12) | 28 (15) | 34 (12) | 37 (12) | 42 (7) | 49 (9) | 53 (10) | 15/15 |
| NBIPOPaCMA loshchilov | 5.7 (5) | 6.7 (4) | 7.2 (2) | 6.3 (1) | 6.3 (1) | 5.9 (1) | 5.4 (1) | 15/15 |
| NIPOPaCMA loshchilov | 5.2 (4) | 6.8 (3) | 6.8 (3) | 6.3 (2) | 6.3 (2) | 5.8 (1) | 5.4 (1) | 15/15 |
| PSO-BFGS voglis | 1.9 (0.2) | 1.6 (0.1) | 1.5 (0.1) | 1.3 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 1.0 (0.1) | 15/15 |
| SNES schaul | 28 (30) | 808 (1635) | 1484 (1833) | 2579 (3900) | 5307 (5479) | 1.7e4 (2e4) | 2.9e4 (3e4) | 1/15 |
| xNES schaul | 4.8 (4) | 6.3 (5) | 7.1 (4) | 6.4 (3) | 6.5 (3) | 6.6 (3) | 6.3 (2) | 15/15 |
| xNESas schaul | 6.7 (7) | 6.9 (6) | 7.6 (5) | 7.1 (4) | 7.5 (3) | 7.3 (3) | 6.9 (3) | 15/15 |
| Δ fopt f12, 2-D |
1e1 35 |
1e0 46 |
1e-1 75 |
1e-2 94 |
1e-3 105 |
1e-5 153 |
1e-7 195 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 12 (4) | 48 (84) | 54 (106) | 98 (158) | 140 (256) | 177 (311) | 184 (277) | 15/15 |
| BIPOPaCMA loshchilov | 4.7 (4) | 6.7 (5) | 6.9 (5) | 7.4 (7) | 7.2 (7) | 6.4 (7) | 6.0 (6) | 15/15 |
| BIPOPsaACM loshchilov | 3.1 (1) | 3.2 (2) | 6.3 (1) | 6.4 (8) | 6.2 (7) | 5.1 (5) | 4.3 (4) | 15/15 |
| CMAES posik | 7.2 (4) | 6.9 (3) | 5.4 (3) | 5.3 (2) | 5.6 (1) | 4.9 (1.0) | 4.6 (1) | 15/15 |
| CMA brockhoff | 9.1 (9) | 15 (16) | 15 (16) | 14 (16) | 14 (16) | 11 (13) | 10 (12) | 15/15 |
| CMAa brockhoff | 4.9 (4) | 12 (19) | 11 (18) | 11 (16) | 11 (15) | 10 (12) | 8.5 (11) | 15/15 |
| CMAm brockhoff | 4.9 (5) | 7.1 (4) | 7.8 (4) | 7.5 (4) | 7.5 (5) | 7.2 (7) | 6.9 (7) | 15/15 |
| CMAma brockhoff | 7.7 (8) | 12 (18) | 10 (14) | 10 (13) | 9.3 (12) | 7.6 (9) | 6.8 (8) | 15/15 |
| CMAmah brockhoff | 13 (15) | 21 (23) | 18 (19) | 16 (18) | 15 (17) | 12 (14) | 11 (13) | 15/15 |
| CMAmh brockhoff | 10 (8) | 11 (7) | 8.8 (4) | 8.7 (1) | 8.5 (2) | 7.6 (5) | 7.2 (7) | 15/15 |
| DBRCGA chuang | 5.6 (3) | 30 (12) | 33 (28) | 40 (44) | 41 (44) | 41 (57) | 39 (54) | 15/15 |
| DE-AUTO voglis | 1.8 (0.7) | 1.6 (0.3) | 1.2 (0.4) | 1.1 (0.6) | 1.1 (0.7) | 1.1 (0.9) | 1.0 (1.0) | 15/15 |
| DE-BFGS voglis | 2.0 (0.4) | 1.8 (0.3) | 1.5 (0.8) | 1.3 (0.9) | 1.3 (0.9) | 1.1 (0.8) | 1.0 (0.7) | 15/15 |
| DE-ROLL voglis | 16 (31) | 47 (65) | 48 (65) | 56 (68) | 68 (80) | 110 (124) | 311 (504) | 12/15 |
| DE-SIMPLEX voglis | 2.4 (0.7) | 3.0 (2) | 2.6 (3) | 2.6 (3) | 2.5 (3) | 2.1 (2) | 1.9 (2) | 15/15 |
| DEAE posik | 7.4 (4) | 11 (8) | 11 (13) | 11 (15) | 11 (13) | 11 (10) | 11 (9) | 15/15 |
| DE posik | 10 (8) | 18 (28) | 19 (30) | 20 (31) | 21 (32) | 19 (25) | 18 (21) | 15/15 |
| DEb posik | 10 (8) | 18 (28) | 19 (30) | 20 (31) | 21 (32) | 19 (25) | 18 (21) | 15/15 |
| DEctpb posik | 16 (5) | 25 (7) | 22 (13) | 22 (15) | 25 (17) | 23 (18) | 23 (16) | 15/15 |
| IPOPsaACM loshchilov | 5.2 (4) | 6.1 (6) | 4.7 (5) | 4.4 (5) | 4.2 (4) | 3.4 (3) | 3.2 (3) | 15/15 |
| JADE posik | 5.3 (3) | 5.9 (2) | 5.0 (2) | 6.6 (4) | 7.5 (5) | 7.9 (5) | 7.6 (6) | 15/15 |
| JADEb posik | 12 (21) | 19 (37) | 19 (34) | 20 (33) | 20 (30) | 16 (22) | 15 (19) | 15/15 |
| JADEctpb posik | 5.3 (3) | 5.9 (2) | 5.0 (2) | 6.6 (4) | 7.5 (5) | 7.9 (5) | 7.6 (6) | 15/15 |
| MVDE melo | 17 (12) | 29 (18) | 25 (18) | 789 (23) | 712 (21) | 504 (38) | 408 (55) | 14/15 |
| NBIPOPaCMA loshchilov | 5.9 (4) | 7.7 (3) | 5.6 (2) | 5.1 (1) | 5.0 (1) | 4.1 (1) | 3.6 (0.9) | 15/15 |
| NIPOPaCMA loshchilov | 9.4 (5) | 13 (20) | 12 (20) | 11 (17) | 10 (15) | 8.6 (11) | 7.7 (8) | 15/15 |
| PSO-BFGS voglis | 3.1 (3) | 4.0 (5) | 3.4 (4) | 3.1 (4) | 2.9 (4) | 2.3 (3) | 2.1 (3) | 15/15 |
| SNES schaul | 23 (29) | 128 (135) | 504 (1043) | 884 (1752) | 2203 (3361) | 2625 (3275) | 2062 (3083) | 5/15 |
| xNES schaul | 5.9 (5) | 17 (28) | 25 (75) | 27 (77) | 29 (76) | 24 (56) | 22 (46) | 15/15 |
| xNESas schaul | 3.8 (2) | 9.2 (12) | 14 (17) | 15 (14) | 19 (41) | 21 (44) | 27 (51) | 15/15 |
| Δ fopt f13, 2-D |
1e1 23 |
1e0 35 |
1e-1 46 |
1e-2 60 |
1e-3 71 |
1e-5 95 |
1e-7 122 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.8 (4) | 16 (15) | 53 (52) | 112 (106) | 277 (266) | 1.4e4 (2e4) | 3.3e5 (6e5) | 1/15 |
| BIPOPaCMA loshchilov | 4.5 (3) | 4.9 (3) | 5.1 (2) | 5.1 (1) | 5.8 (2) | 5.7 (1) | 5.5 (0.9) | 15/15 |
| BIPOPsaACM loshchilov | 2.4 (2) | 2.8 (1) | 2.9 (1) | 2.7 (0.8) | 2.8 (1.0) | 2.7 (0.9) | 2.7 (0.7) | 15/15 |
| CMAES posik | 3.8 (4) | 7.1 (5) | 7.3 (3) | 7.3 (2) | 7.3 (2) | 7.7 (2) | 7.5 (1) | 15/15 |
| CMA brockhoff | 5.2 (5) | 6.2 (3) | 6.0 (2) | 6.3 (2) | 6.6 (2) | 7.1 (1) | 6.7 (1) | 15/15 |
| CMAa brockhoff | 4.5 (3) | 5.1 (3) | 5.7 (2) | 5.5 (1) | 5.6 (1) | 5.5 (0.6) | 5.4 (0.7) | 15/15 |
| CMAm brockhoff | 7.1 (6) | 9.1 (4) | 9.1 (5) | 8.5 (3) | 8.2 (2) | 8.0 (2) | 7.9 (1) | 15/15 |
| CMAma brockhoff | 4.5 (5) | 5.1 (4) | 6.5 (3) | 5.9 (1) | 6.4 (2) | 6.1 (1) | 5.9 (1) | 15/15 |
| CMAmah brockhoff | 7.8 (10) | 10 (6) | 10 (4) | 9.2 (3) | 9.3 (3) | 9.0 (2) | 8.4 (2) | 15/15 |
| CMAmh brockhoff | 6.5 (9) | 9.3 (8) | 10 (7) | 10 (7) | 11 (7) | 12 (6) | 13 (5) | 15/15 |
| DBRCGA chuang | 4.0 (2) | 6.5 (2) | 9.4 (2) | 12 (8) | 14 (7) | 25 (24) | 42 (34) | 15/15 |
| DE-AUTO voglis | 2.7 (1) | 2.2 (0.2) | 1.8 (0.1) | 1.5 (0.1) | 1.3 (0.1) | 1.1 (0.1) | 1.6 (2) | 15/15 |
| DE-BFGS voglis | 2.8 (0.3) | 2.1 (0.2) | 1.7 (0.2) | 1.5 (0.2) | 1.3 (0.2) | 1.1 (0.1) | 1.4 (1) | 15/15 |
| DE-ROLL voglis | 10 (11) | 30 (31) | 43 (30) | 47 (28) | 54 (24) | 57 (18) | 176 (116) | 14/15 |
| DE-SIMPLEX voglis | 2.1 (1) | 2.3 (0.6) | 2.1 (0.5) | 1.8 (0.4) | 1.7 (0.3) | 1.5 (0.3) | 1.4 (0.2) | 15/15 |
| DEAE posik | 3.5 (3) | 5.7 (2) | 6.5 (2) | 6.2 (0.9) | 6.7 (1) | 6.8 (1) | 6.7 (0.9) | 15/15 |
| DE posik | 5.8 (3) | 7.5 (3) | 9.4 (3) | 15 (3) | 20 (24) | 20 (18) | 23 (16) | 15/15 |
| DEb posik | 5.8 (3) | 7.5 (3) | 9.4 (3) | 15 (3) | 20 (24) | 20 (18) | 23 (16) | 15/15 |
| DEctpb posik | 4.4 (5) | 8.6 (3) | 11 (2) | 12 (5) | 14 (2) | 15 (3) | 15 (3) | 15/15 |
| IPOPsaACM loshchilov | 2.8 (1) | 3.0 (0.9) | 3.3 (1) | 3.0 (1) | 2.8 (0.9) | 2.7 (0.5) | 2.5 (0.6) | 15/15 |
| JADE posik | 2.6 (1) | 4.2 (2) | 5.2 (2) | 5.9 (1) | 6.4 (0.9) | 7.0 (1.0) | 6.8 (0.7) | 15/15 |
| JADEb posik | 3.6 (2) | 4.8 (4) | 5.3 (4) | 5.3 (3) | 6.3 (3) | 8.3 (6) | 9.2 (6) | 15/15 |
| JADEctpb posik | 2.6 (1) | 4.2 (2) | 5.2 (2) | 5.9 (1) | 6.4 (0.9) | 7.0 (1.0) | 6.8 (0.7) | 15/15 |
| MVDE melo | 7.8 (6) | 19 (6) | 26 (13) | 37 (15) | 42 (9) | 49 (13) | 55 (9) | 15/15 |
| NBIPOPaCMA loshchilov | 3.7 (2) | 4.5 (2) | 4.7 (2) | 4.8 (2) | 5.7 (1) | 5.7 (1) | 5.4 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 3.8 (5) | 5.4 (3) | 5.8 (3) | 5.3 (2) | 5.4 (1) | 5.8 (1.0) | 5.6 (0.7) | 15/15 |
| PSO-BFGS voglis | 3.0 (0.2) | 2.2 (0.3) | 1.9 (0.3) | 1.6 (0.2) | 1.4 (0.2) | 1.2 (0.3) | 1.3 (0.6) | 15/15 |
| SNES schaul | 20 (45) | 71 (196) | 322 (460) | 819 (1218) | 1596 (1266) | 5282 (4445) | 2.4e4 (2e4) | 0/15 |
| xNES schaul | 7.5 (4) | 7.4 (8) | 7.4 (5) | 7.0 (4) | 7.1 (3) | 6.9 (4) | 6.6 (3) | 15/15 |
| xNESas schaul | 3.5 (2) | 4.6 (2) | 5.7 (4) | 5.9 (2) | 6.8 (5) | 7.1 (4) | 8.5 (3) | 15/15 |
| Δ fopt f14, 2-D |
1e1 1 |
1e0 7.0 |
1e-1 16 |
1e-2 24 |
1e-3 38 |
1e-5 67 |
1e-7 90 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.3 (0.5) | 2.8 (3) | 7.0 (2) | 8.3 (2) | 10 (2) | 49 (50) | 870 (886) | 15/15 |
| BIPOPaCMA loshchilov | 3.6 (6) | 2.4 (2) | 3.1 (2) | 4.1 (2) | 4.3 (2) | 5.4 (0.9) | 5.6 (1) | 15/15 |
| BIPOPsaACM loshchilov | 3.0 (4) | 3.0 (3) | 3.2 (2) | 4.1 (1) | 3.5 (0.8) | 2.8 (0.7) | 3.0 (0.9) | 15/15 |
| CMAES posik | 2.9 (4) | 2.6 (3) | 3.5 (2) | 4.0 (1) | 4.7 (2) | 6.5 (2) | 7.5 (1) | 15/15 |
| CMA brockhoff | 3.3 (6) | 3.8 (4) | 3.7 (2) | 4.4 (2) | 4.8 (2) | 6.4 (2) | 6.7 (1) | 15/15 |
| CMAa brockhoff | 4.4 (4) | 3.7 (2) | 4.0 (2) | 4.8 (2) | 4.8 (2) | 5.4 (1) | 5.7 (2) | 15/15 |
| CMAm brockhoff | 3.5 (4) | 3.1 (4) | 3.2 (3) | 4.1 (2) | 4.0 (2) | 5.9 (2) | 7.2 (1) | 15/15 |
| CMAma brockhoff | 2.9 (4) | 3.4 (3) | 4.2 (2) | 4.2 (2) | 5.5 (2) | 5.5 (1) | 6.1 (0.8) | 15/15 |
| CMAmah brockhoff | 2.8 (3) | 1.8 (2) | 2.3 (0.9) | 3.1 (1) | 4.1 (2) | 6.4 (1) | 8.0 (0.8) | 15/15 |
| CMAmh brockhoff | 2.7 (2) | 2.6 (2) | 2.8 (1) | 4.1 (1) | 5.8 (3) | 9.0 (3) | 10 (4) | 15/15 |
| DBRCGA chuang | 1.7 (0.5) | 3.1 (3) | 6.8 (5) | 8.6 (2) | 8.8 (2) | 12 (6) | 21 (15) | 15/15 |
| DE-AUTO voglis | 2.3 (2) | 3.9 (4) | 3.5 (1) | 2.8 (0.3) | 2.0 (0.3) | 1.4 (0.2) | 6.1 (5) | 15/15 |
| DE-BFGS voglis | 3.3 (2) | 3.0 (2) | 3.7 (0.3) | 2.8 (0.3) | 2.0 (0.2) | 1.4 (0.1) | 2.7 (3) | 15/15 |
| DE-ROLL voglis | 1.8 (2) | 2.9 (3) | 5.3 (2) | 6.0 (3) | 58 (79) | 148 (97) | 446 (670) | 14/15 |
| DE-SIMPLEX voglis | 1.5 (1) | 4.0 (4) | 3.8 (0.3) | 3.0 (0.4) | 2.3 (0.3) | 1.7 (0.3) | 1.5 (0.2) | 15/15 |
| DEAE posik | 4.4 (5) | 2.8 (3) | 5.8 (4) | 9.0 (3) | 7.3 (2) | 7.1 (1) | 7.5 (0.9) | 15/15 |
| DE posik | 2.1 (2) | 3.1 (3) | 5.1 (4) | 8.5 (4) | 9.1 (2) | 10 (4) | 12 (3) | 15/15 |
| DEb posik | 2.1 (2) | 3.1 (3) | 5.1 (4) | 8.5 (4) | 9.1 (2) | 10 (4) | 12 (3) | 15/15 |
| DEctpb posik | 2.7 (2) | 4.2 (3) | 7.4 (4) | 8.4 (4) | 9.0 (3) | 11 (3) | 12 (3) | 15/15 |
| IPOPsaACM loshchilov | 6.9 (10) | 4.9 (4) | 3.5 (2) | 3.9 (2) | 3.8 (1) | 3.1 (0.9) | 3.0 (0.7) | 15/15 |
| JADE posik | 2.8 (3) | 2.3 (2) | 4.1 (2) | 4.8 (2) | 5.5 (2) | 6.2 (2) | 6.7 (2) | 15/15 |
| JADEb posik | 3.5 (2) | 4.6 (4) | 3.9 (2) | 4.5 (2) | 5.0 (2) | 5.1 (1) | 6.0 (3) | 15/15 |
| JADEctpb posik | 2.8 (3) | 2.3 (2) | 4.1 (2) | 4.8 (2) | 5.5 (2) | 6.2 (2) | 6.7 (2) | 15/15 |
| MVDE melo | 2.2 (2) | 5.2 (4) | 14 (6) | 20 (5) | 21 (6) | 31 (7) | 41 (12) | 15/15 |
| NBIPOPaCMA loshchilov | 4.3 (4) | 2.5 (2) | 3.4 (3) | 4.2 (2) | 4.5 (2) | 5.6 (0.9) | 6.1 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 3.7 (4) | 3.1 (3) | 3.1 (3) | 4.5 (2) | 4.7 (2) | 5.0 (0.9) | 5.6 (1) | 15/15 |
| PSO-BFGS voglis | 2.5 (2) | 4.9 (4) | 4.1 (0.4) | 3.0 (0.4) | 2.2 (0.2) | 1.5 (0.1) | 13 (1) | 15/15 |
| SNES schaul | 5.8 (9) | 3.5 (4) | 2.9 (2) | 4.8 (3) | 19 (25) | 1976 (2885) | 7551 (1e4) | 1/15 |
| xNES schaul | 5.3 (9) | 3.4 (2) | 3.8 (2) | 6.2 (4) | 5.8 (3) | 5.9 (2) | 6.2 (2) | 15/15 |
| xNESas schaul | 1.8 (2) | 2.4 (4) | 2.7 (2) | 5.0 (1) | 4.6 (1) | 5.1 (1) | 5.3 (2) | 15/15 |
| Δ fopt f15, 2-D |
1e1 37 |
1e0 291 |
1e-1 1033 |
1e-2 1066 |
1e-3 1113 |
1e-5 1231 |
1e-7 1412 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.1 (2) | 2.3 (1) | 11 (26) | 11 (25) | 11 (24) | 10 (22) | 9.0 (19) | 15/15 |
| BIPOPaCMA loshchilov | 1.4 (1) | 1.8 (2) | 2.7 (2) | 2.7 (2) | 2.6 (2) | 2.5 (2) | 2.2 (2) | 15/15 |
| BIPOPsaACM loshchilov | 2.4 (5) | 2.0 (1) | 2.8 (3) | 2.7 (3) | 2.7 (3) | 2.5 (2) | 2.2 (2) | 15/15 |
| CMAES posik | 1.1 (1.0) | 2.6 (3) | 3.8 (4) | 3.7 (4) | 3.6 (4) | 3.3 (4) | 2.9 (3) | 15/15 |
| CMA brockhoff | 0.93 (0.7) | 2.5 (4) | 2.9 (1) | 3.0 (2) | 2.9 (1) | 2.8 (1) | 2.5 (1) | 15/15 |
| CMAa brockhoff | 1.4 (0.8) | 2.0 (2) | 2.0 (3) | 2.0 (3) | 2.0 (3) | 1.9 (3) | 1.7 (2) | 15/15 |
| CMAm brockhoff | 1.2 (1.0) | 1.8 (1) | 1.9 (2) | 2.5 (2) | 2.4 (2) | 2.3 (2) | 2.1 (2) | 15/15 |
| CMAma brockhoff | 1.3 (1) | 3.1 (4) | 2.4 (2) | 2.6 (2) | 2.6 (2) | 2.5 (2) | 2.2 (2) | 15/15 |
| CMAmah brockhoff | 1.2 (1) | 2.9 (4) | 2.7 (2) | 2.8 (2) | 2.7 (2) | 2.6 (2) | 2.4 (2) | 15/15 |
| CMAmh brockhoff | 2.6 (7) | 3.8 (4) | 2.6 (2) | 2.8 (2) | 2.7 (2) | 2.6 (2) | 2.4 (2) | 15/15 |
| DBRCGA chuang | 1.8 (2) | 2.4 (3) | 1.8 (2) | 1.8 (2) | 1.8 (2) | 1.8 (2) | 1.6 (1) | 15/15 |
| DE-AUTO voglis | 7.5 (12) | 10 (9) | 6.9 (6) | 6.7 (6) | 6.4 (6) | 5.8 (5) | 5.1 (4) | 15/15 |
| DE-BFGS voglis | 1.4 (0.7) | 0.71 (0.7) | 0.46 (0.4)↑1 | 0.45 (0.4)↑1 | 0.44 (0.4)↑0 | 0.41 (0.4)↑0 | 0.36 (0.3)↑0 | 15/15 |
| DE-ROLL voglis | 3.5 (1.0) | 4.5 (7) | 7.3 (6) | 7.2 (6) | 6.9 (6) | 6.3 (5) | 5.6 (5) | 15/15 |
| DE-SIMPLEX voglis | 2.7 (5) | 1.7 (1) | 2.8 (4) | 2.7 (3) | 2.6 (3) | 2.4 (3) | 2.1 (3) | 15/15 |
| DEAE posik | 1.8 (2) | 1.8 (1) | 1.4 (2) | 1.4 (2) | 1.4 (2) | 1.3 (1) | 1.3 (1) | 15/15 |
| DE posik | 2.6 (2) | 1.9 (1) | 1.8 (3) | 1.9 (3) | 1.9 (3) | 1.8 (2) | 1.7 (2) | 15/15 |
| DEb posik | 2.6 (2) | 1.9 (1) | 1.8 (3) | 1.9 (3) | 1.9 (3) | 1.8 (2) | 1.7 (2) | 15/15 |
| DEctpb posik | 2.3 (2) | 2.6 (1) | 1.2 (0.7) | 1.5 (0.6) | 1.6 (0.4) | 1.7 (0.7) | 1.7 (0.5) | 15/15 |
| IPOPsaACM loshchilov | 1.3 (1) | 2.6 (3) | 1.4 (1) | 1.9 (2) | 1.8 (2) | 1.7 (2) | 1.5 (2) | 15/15 |
| JADE posik | 1.1 (0.7) | 1.4 (0.5) | 0.95 (0.8) | 1.0 (0.9) | 1.1 (0.8) | 1.1 (0.7) | 1.1 (0.6) | 15/15 |
| JADEb posik | 1.3 (0.9) | 3.4 (4) | 3.4 (3) | 3.4 (3) | 3.3 (3) | 3.0 (3) | 2.7 (2) | 15/15 |
| JADEctpb posik | 1.1 (0.7) | 1.4 (0.5) | 0.95 (0.8) | 1.0 (0.9) | 1.1 (0.8) | 1.1 (0.7) | 1.1 (0.6) | 15/15 |
| MVDE melo | 2.7 (2) | 4.9 (2) | 244 (485) | 237 (470) | 227 (450) | 206 (407) | 180 (355) | 12/15 |
| NBIPOPaCMA loshchilov | 1.4 (0.9) | 2.6 (4) | 2.8 (4) | 3.1 (4) | 3.0 (4) | 2.8 (3) | 2.6 (3) | 15/15 |
| NIPOPaCMA loshchilov | 1.7 (1) | 3.7 (3) | 2.8 (3) | 2.8 (3) | 2.9 (3) | 2.7 (3) | 2.4 (3) | 15/15 |
| PSO-BFGS voglis | 2.0 (1) | 2.8 (2) | 2.0 (2) | 2.0 (2) | 1.9 (2) | 1.7 (1) | 1.5 (1) | 15/15 |
| SNES schaul | 1.5 (2) | 5.9 (7) | 10 (13) | 10 (12) | 10 (12) | 8.9 (11) | 7.8 (9) | 15/15 |
| xNES schaul | 13 (28) | 9.5 (10) | 15 (17) | 18 (21) | 17 (20) | 15 (18) | 13 (16) | 15/15 |
| xNESas schaul | 0.81 (0.7) | 4.0 (4) | 4.4 (4) | 4.5 (4) | 4.4 (4) | 4.0 (3) | 3.6 (3) | 15/15 |
| Δ fopt f16, 2-D |
1e1 9.0 |
1e0 50 |
1e-1 174 |
1e-2 326 |
1e-3 358 |
1e-5 409 |
1e-7 538 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.7 (5) | 4.6 (4) | 5.1 (5) | 17 (20) | 36 (29) | 43 (26) | 33 (20) | 15/15 |
| BIPOPaCMA loshchilov | 1.5 (2) | 2.6 (0.9) | 2.8 (3) | 2.3 (2) | 2.8 (2) | 2.7 (2) | 2.2 (1) | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (2) | 4.4 (7) | 5.1 (3) | 3.6 (3) | 4.4 (5) | 4.7 (4) | 3.8 (3) | 15/15 |
| CMAES posik | 4.7 (7) | 7.4 (11) | 3.6 (6) | 2.7 (3) | 2.6 (3) | 2.4 (2) | 1.9 (2) | 15/15 |
| CMA brockhoff | 5.2 (8) | 8.5 (13) | 4.2 (4) | 3.7 (4) | 3.5 (3) | 3.3 (3) | 2.6 (2) | 15/15 |
| CMAa brockhoff | 4.7 (4) | 11 (13) | 6.3 (8) | 3.8 (4) | 3.8 (4) | 4.0 (4) | 3.2 (3) | 15/15 |
| CMAm brockhoff | 2.5 (2) | 5.8 (9) | 4.6 (7) | 3.1 (4) | 3.4 (4) | 3.5 (3) | 2.8 (3) | 15/15 |
| CMAma brockhoff | 8.9 (9) | 10 (10) | 4.4 (3) | 3.1 (3) | 4.2 (3) | 4.1 (3) | 3.3 (2) | 15/15 |
| CMAmah brockhoff | 4.0 (5) | 6.5 (11) | 5.6 (8) | 10 (6) | 11 (6) | 10 (5) | 8.2 (4) | 15/15 |
| CMAmh brockhoff | 10 (4) | 13 (11) | 6.9 (6) | 4.5 (5) | 4.6 (4) | 4.6 (4) | 3.7 (3) | 15/15 |
| DBRCGA chuang | 2.3 (4) | 2.4 (3) | 5.4 (7) | 4.6 (4) | 6.2 (6) | 8.4 (9) | 6.7 (7) | 15/15 |
| DE-AUTO voglis | 3.2 (3) | 33 (53) | 32 (39) | 24 (35) | 25 (32) | 38 (33) | 34 (63) | 15/15 |
| DE-BFGS voglis | 2.7 (1) | 6.1 (10) | 4.5 (4) | 4.9 (1) | 5.4 (2) | 6.5 (1) | 14 (8) | 14/15 |
| DE-ROLL voglis | 3.2 (3) | 26 (35) | 33 (45) | 27 (35) | 41 (39) | 47 (49) | 115 (187) | 12/15 |
| DE-SIMPLEX voglis | 1.3 (1) | 5.4 (7) | 2.8 (4) | 2.2 (3) | 2.1 (2) | 2.2 (2) | 1.8 (2) | 15/15 |
| DEAE posik | 4.6 (5) | 5.7 (4) | 2.7 (2) | 1.9 (1) | 2.4 (2) | 3.2 (3) | 2.6 (2) | 15/15 |
| DE posik | 4.1 (4) | 4.8 (4) | 5.4 (7) | 3.4 (4) | 3.5 (4) | 3.5 (3) | 3.4 (3) | 15/15 |
| DEb posik | 4.1 (4) | 4.8 (4) | 5.4 (7) | 3.4 (4) | 3.5 (4) | 3.5 (3) | 3.4 (3) | 15/15 |
| DEctpb posik | 3.4 (3) | 3.8 (3) | 5.1 (3) | 4.9 (3) | 13 (8) | 19 (7) | 16 (6) | 15/15 |
| IPOPsaACM loshchilov | 3.8 (6) | 6.6 (8) | 4.3 (4) | 3.0 (3) | 3.0 (3) | 3.1 (2) | 2.9 (2) | 15/15 |
| JADE posik | 2.9 (2) | 3.8 (3) | 3.8 (2) | 2.6 (1) | 2.8 (2) | 3.2 (2) | 2.8 (1) | 15/15 |
| JADEb posik | 2.1 (3) | 4.3 (4) | 2.7 (5) | 2.1 (2) | 2.0 (2) | 2.0 (2) | 1.7 (2) | 15/15 |
| JADEctpb posik | 2.9 (2) | 3.8 (3) | 3.8 (2) | 2.6 (1) | 2.8 (2) | 3.2 (2) | 2.8 (1) | 15/15 |
| MVDE melo | 2.4 (2) | 2.4 (2) | 6.2 (6) | 225 (4) | 207 (4) | 183 (4) | 141 (3) | 14/15 |
| NBIPOPaCMA loshchilov | 3.3 (3) | 6.8 (11) | 4.0 (6) | 3.4 (5) | 3.5 (4) | 3.3 (4) | 2.6 (3) | 15/15 |
| NIPOPaCMA loshchilov | 3.4 (4) | 6.2 (8) | 4.0 (5) | 2.4 (3) | 2.5 (3) | 2.4 (3) | 2.0 (2) | 15/15 |
| PSO-BFGS voglis | 5.3 (7) | 9.4 (12) | 7.7 (8) | 10 (11) | 14 (13) | 22 (29) | 106 (130) | 12/15 |
| SNES schaul | 1.8 (2) | 5.1 (5) | 4.7 (7) | 4.4 (7) | 6.7 (8) | 12 (19) | 12 (20) | 14/15 |
| xNES schaul | 3.4 (4) | 13 (23) | 6.5 (12) | 5.0 (6) | 5.4 (6) | 5.0 (5) | 3.9 (4) | 15/15 |
| xNESas schaul | 3.2 (4) | 5.4 (11) | 3.8 (4) | 3.9 (5) | 3.7 (4) | 4.4 (6) | 4.6 (5) | 15/15 |
| Δ fopt f17, 2-D |
1e1 3.0 |
1e0 61 |
1e-1 133 |
1e-2 275 |
1e-3 396 |
1e-5 1086 |
1e-7 1657 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.2 (1) | 0.94 (0.8) | 2.1 (0.7) | 1.7 (0.5) | 1.8 (0.3) | 1.1 (0.2) | 0.98 (0.2) | 15/15 |
| BIPOPaCMA loshchilov | 17 (12) | 3.4 (5) | 2.8 (3) | 1.9 (1) | 1.6 (1) | 1.6 (1) | 1.4 (0.8) | 15/15 |
| BIPOPsaACM loshchilov | 2.8 (3) | 1.2 (0.7) | 2.1 (2) | 2.0 (1) | 2.2 (1) | 2.4 (1) | 1.7 (1) | 15/15 |
| CMAES posik | 2.1 (2) | 1.5 (1) | 2.3 (3) | 2.0 (2) | 2.0 (4) | 2.9 (3) | 2.7 (3) | 15/15 |
| CMA brockhoff | 3.0 (2) | 1.8 (1) | 1.9 (3) | 1.4 (1) | 2.1 (1) | 1.6 (1) | 1.3 (0.6) | 15/15 |
| CMAa brockhoff | 1.7 (2) | 0.78 (0.6) | 1.7 (2) | 1.8 (2) | 1.7 (1) | 1.4 (0.6) | 1.1 (0.5) | 15/15 |
| CMAm brockhoff | 3.8 (4) | 1.4 (1) | 3.0 (3) | 1.9 (1) | 1.7 (1) | 1.3 (0.9) | 0.99 (0.7) | 15/15 |
| CMAma brockhoff | 1.6 (2) | 1.3 (0.6) | 1.6 (2) | 1.2 (1) | 1.3 (0.9) | 1.1 (0.9) | 0.82 (0.7) | 15/15 |
| CMAmah brockhoff | 1.9 (2) | 3.9 (5) | 2.8 (4) | 2.1 (2) | 2.0 (2) | 1.7 (1) | 1.3 (0.8) | 15/15 |
| CMAmh brockhoff | 3.2 (3) | 5.2 (9) | 3.1 (4) | 2.1 (2) | 2.3 (2) | 1.8 (1) | 1.6 (0.8) | 15/15 |
| DBRCGA chuang | 1.5 (1) | 2.1 (1) | 2.6 (1) | 2.3 (0.9) | 3.2 (4) | 5.0 (7) | 3.5 (4) | 15/15 |
| DE-AUTO voglis | 1.2 (1) | 6.9 (9) | 9.0 (11) | 10 (13) | 10 (12) | 7.6 (5) | 5.0 (3) | 15/15 |
| DE-BFGS voglis | 1.8 (2) | 2.2 (2) | 3.9 (2) | 3.6 (1) | 4.1 (0.8) | 2.5 (0.5) | 4.1 (3) | 15/15 |
| DE-ROLL voglis | 2.1 (2) | 3.7 (5) | 6.2 (4) | 5.9 (3) | 5.4 (3) | 4.4 (1) | 3.0 (1) | 15/15 |
| DE-SIMPLEX voglis | 1.6 (1) | 6.5 (6) | 6.7 (5) | 4.7 (3) | 3.9 (3) | 2.1 (1) | 337 (362) | 3/15 |
| DEAE posik | 2.3 (2) | 1.7 (1) | 1.8 (0.7) | 1.6 (0.6) | 1.8 (0.5) | 2.5 (3) | 1.9 (2) | 15/15 |
| DE posik | 2.7 (3) | 1.5 (1) | 3.1 (0.9) | 2.2 (0.8) | 2.5 (0.5) | 2.1 (2) | 1.6 (1) | 15/15 |
| DEb posik | 2.7 (3) | 1.5 (1) | 3.1 (0.9) | 2.2 (0.8) | 2.5 (0.5) | 2.1 (2) | 1.6 (1) | 15/15 |
| DEctpb posik | 1.6 (2) | 2.1 (1) | 2.6 (1.0) | 2.3 (0.5) | 2.3 (0.6) | 1.6 (0.4) | 1.4 (0.4) | 15/15 |
| IPOPsaACM loshchilov | 3.8 (7) | 1.5 (0.7) | 2.0 (2) | 2.1 (2) | 2.1 (1) | 2.0 (0.9) | 1.7 (1) | 15/15 |
| JADE posik | 2.4 (2) | 1.2 (0.6) | 1.5 (0.5) | 1.2 (0.4) | 1.3 (0.2) | 1.2 (0.8) | 0.95 (0.6) | 15/15 |
| JADEb posik | 1.5 (2) | 1.0 (0.7) | 1.0 (0.3) | 0.83 (0.2) | 19 (1) | 8.7 (2) | 5.8 (2) | 14/15 |
| JADEctpb posik | 2.4 (2) | 1.2 (0.6) | 1.5 (0.5) | 1.2 (0.4) | 1.3 (0.2) | 1.2 (0.8) | 0.95 (0.6) | 15/15 |
| MVDE melo | 1.4 (0.8) | 2.1 (2) | 5.4 (2) | 5.0 (2) | 5.7 (1) | 69 (1.0) | 47 (0.9) | 14/15 |
| NBIPOPaCMA loshchilov | 3.7 (4) | 1.7 (0.5) | 1.4 (0.4) | 0.97 (0.2) | 1.2 (1) | 1.4 (1) | 1.1 (0.8) | 15/15 |
| NIPOPaCMA loshchilov | 1.7 (2) | 1.7 (0.8) | 1.4 (0.5) | 1.00 (0.4) | 1.4 (1) | 1.2 (0.6) | 1.1 (0.9) | 15/15 |
| PSO-BFGS voglis | 1.5 (1) | 10 (8) | 12 (7) | 8.3 (5) | 9.0 (3) | 5.8 (1) | 16 (18) | 12/15 |
| SNES schaul | 6.5 (14) | 3.6 (2) | 3.4 (7) | 3.1 (4) | 2.5 (3) | 5.9 (10) | 6.4 (8) | 15/15 |
| xNES schaul | 11 (28) | 8.0 (17) | 6.2 (8) | 5.9 (7) | 6.7 (8) | 15 (23) | 13 (14) | 15/15 |
| xNESas schaul | 3.7 (5) | 7.9 (17) | 4.3 (8) | 6.8 (8) | 12 (20) | 25 (17) | 25 (22) | 15/15 |
| Δ fopt f18, 2-D |
1e1 19 |
1e0 134 |
1e-1 666 |
1e-2 1249 |
1e-3 1708 |
1e-5 2438 |
1e-7 2858 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.6 (2) | 2.6 (2) | 1.5 (1) | 1.4 (0.9) | 1.9 (1) | 2.4 (1) | 3.0 (2) | 15/15 |
| BIPOPaCMA loshchilov | 2.1 (2) | 4.4 (6) | 2.2 (3) | 1.6 (1) | 1.3 (0.8) | 1.1 (0.6) | 1.2 (1) | 15/15 |
| BIPOPsaACM loshchilov | 3.3 (2) | 1.8 (2) | 0.84 (0.7) | 0.61 (1.0) | 0.71 (0.7) | 1.4 (1) | 1.7 (2) | 15/15 |
| CMAES posik | 1.5 (1) | 5.1 (7) | 2.0 (2) | 1.6 (2) | 1.5 (1) | 9.1 (12) | 10 (10) | 14/15 |
| CMA brockhoff | 1.4 (2) | 3.8 (4) | 1.6 (1) | 1.0 (0.8) | 0.84 (0.6) | 0.91 (0.4) | 0.91 (0.4) | 15/15 |
| CMAa brockhoff | 1.3 (1) | 2.7 (3) | 1.4 (1) | 0.90 (0.8) | 0.93 (0.6) | 0.92 (0.4) | 0.91 (0.3) | 15/15 |
| CMAm brockhoff | 3.2 (1) | 6.3 (7) | 2.1 (1) | 1.4 (0.8) | 1.3 (0.5) | 1.4 (0.9) | 1.3 (0.8) | 15/15 |
| CMAma brockhoff | 3.3 (1) | 5.3 (7) | 1.6 (1) | 1.1 (0.6) | 0.98 (0.5) | 1.0 (0.4) | 1.00 (0.4) | 15/15 |
| CMAmah brockhoff | 1.3 (1) | 5.3 (5) | 1.9 (2) | 1.4 (0.8) | 1.4 (0.4) | 1.2 (0.4) | 1.1 (0.3) | 15/15 |
| CMAmh brockhoff | 1.2 (1) | 7.7 (8) | 2.6 (2) | 1.9 (0.8) | 1.6 (0.6) | 1.3 (0.3) | 1.2 (0.3) | 15/15 |
| DBRCGA chuang | 1.5 (2) | 1.8 (1) | 1.7 (2) | 4.3 (6) | 7.7 (18) | 18 (20) | 16 (17) | 15/15 |
| DE-AUTO voglis | 1.8 (1) | 12 (23) | 6.6 (8) | 6.0 (5) | 5.6 (4) | 5.7 (2) | 4.9 (2) | 15/15 |
| DE-BFGS voglis | 2.5 (5) | 5.8 (4) | 1.9 (0.7) | 1.6 (0.8) | 1.6 (0.5) | 1.8 (0.4) | 8.6 (11) | 4/15 |
| DE-ROLL voglis | 2.3 (1) | 4.5 (5) | 2.7 (2) | 2.9 (1) | 2.9 (1) | 5.1 (2) | 24 (42) | 11/15 |
| DE-SIMPLEX voglis | 3.2 (5) | 9.2 (7) | 2.9 (1) | 2.1 (0.6) | 1.9 (0.7) | 1.8 (0.8) | 103 (107) | 1/15 |
| DEAE posik | 2.0 (2) | 1.5 (0.6) | 0.56 (0.2)↑0 | 0.63 (0.2)↑1 | 0.60 (0.1)↑1 | 1.0 (0.9) | 0.99 (0.8) | 15/15 |
| DE posik | 3.1 (3) | 3.1 (2) | 1.4 (1) | 1.4 (2) | 2.3 (2) | 3.8 (4) | 3.5 (4) | 15/15 |
| DEb posik | 3.1 (3) | 3.1 (2) | 1.4 (1) | 1.4 (2) | 2.3 (2) | 3.8 (4) | 3.5 (4) | 15/15 |
| DEctpb posik | 1.9 (2) | 1.7 (1.0) | 0.93 (0.2) | 0.84 (0.2) | 0.85 (0.2) | 1.1 (0.2) | 1.2 (0.6) | 15/15 |
| IPOPsaACM loshchilov | 2.0 (2) | 3.0 (3) | 1.4 (1) | 0.90 (0.7) | 0.83 (0.6) | 1.1 (0.6) | 1.4 (1) | 15/15 |
| JADE posik | 2.1 (1) | 1.5 (0.4) | 0.63 (0.3)↑1 | 0.47 (0.2)↑0 | 0.47 (0.1)↑0 | 0.68 (0.5) | 0.69 (0.4) | 15/15 |
| JADEb posik | 1.5 (1) | 1.4 (0.7) | 11 (0.7) | 6.5 (1) | 5.0 (0.9) | 18 (22) | 15 (18) | 11/15 |
| JADEctpb posik | 2.1 (1) | 1.5 (0.4) | 0.63 (0.3)↑1 | 0.47 (0.2)↑0 | 0.47 (0.1)↑0 | 0.68 (0.5) | 0.69 (0.4) | 15/15 |
| MVDE melo | 3.3 (3) | 3.7 (3) | 2.1 (0.6) | 59 (1) | 44 (0.9) | 32 (1) | 28 (0.8) | 14/15 |
| NBIPOPaCMA loshchilov | 4.9 (3) | 4.6 (3) | 2.6 (2) | 1.6 (1) | 1.4 (1) | 1.3 (0.8) | 1.3 (0.7) | 15/15 |
| NIPOPaCMA loshchilov | 1.8 (1) | 2.6 (3) | 0.72 (0.6) | 1.0 (0.9) | 0.88 (0.7) | 0.84 (0.4) | 0.82 (0.3) | 15/15 |
| PSO-BFGS voglis | 6.8 (11) | 11 (12) | 4.5 (3) | 3.7 (1.0) | 3.8 (2) | 5.0 (1) | 24 (19) | 2/15 |
| SNES schaul | 1.5 (2) | 11 (15) | 18 (24) | 44 (55) | 81 (95) | 181 (213) | 156 (181) | 5/15 |
| xNES schaul | 1.7 (1) | 13 (16) | 4.9 (4) | 3.8 (5) | 3.9 (4) | 12 (13) | 18 (17) | 14/15 |
| xNESas schaul | 28 (82) | 13 (15) | 5.3 (6) | 5.5 (5) | 7.0 (5) | 12 (12) | 17 (14) | 14/15 |
| Δ fopt f19, 2-D |
1e1 1 |
1e0 1 |
1e-1 26 |
1e-2 216 |
1e-3 227 |
1e-5 252 |
1e-7 276 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.6 (4) | 38 (28) | 7.0 (9) | 72 (258) | 72 (246) | 70 (229) | 68 (209) | 15/15 |
| BIPOPaCMA loshchilov | 5.3 (6) | 21 (23) | 7.6 (6) | 21 (22) | 21 (22) | 21 (20) | 20 (19) | 15/15 |
| BIPOPsaACM loshchilov | 5.0 (4) | 24 (16) | 11 (17) | 12 (21) | 16 (22) | 23 (24) | 21 (22) | 15/15 |
| CMAES posik | 5.6 (6) | 198 (508) | 25 (23) | 19 (22) | 22 (21) | 20 (19) | 19 (17) | 15/15 |
| CMA brockhoff | 5.4 (6) | 58 (41) | 5.2 (6) | 7.8 (7) | 12 (13) | 11 (12) | 11 (12) | 15/15 |
| CMAa brockhoff | 10 (11) | 42 (31) | 11 (8) | 10 (15) | 10 (15) | 11 (13) | 11 (12) | 15/15 |
| CMAm brockhoff | 4.5 (4) | 77 (44) | 14 (21) | 7.6 (6) | 12 (12) | 15 (14) | 14 (14) | 15/15 |
| CMAma brockhoff | 4.5 (6) | 137 (380) | 15 (24) | 15 (21) | 25 (35) | 24 (33) | 24 (30) | 15/15 |
| CMAmah brockhoff | 3.5 (2) | 48 (46) | 8.3 (16) | 21 (29) | 22 (28) | 30 (26) | 29 (24) | 15/15 |
| CMAmh brockhoff | 7.1 (6) | 78 (48) | 17 (22) | 7.7 (11) | 9.0 (11) | 8.5 (10) | 8.1 (9) | 15/15 |
| DBRCGA chuang | 3.9 (2) | 33 (33) | 6.3 (5) | 13 (14) | 15 (18) | 15 (17) | 15 (16) | 15/15 |
| DE-AUTO voglis | 3.3 (2) | 86 (34) | 54 (58) | 84 (108) | 81 (102) | 76 (92) | 70 (84) | 15/15 |
| DE-BFGS voglis | 4.3 (4) | 61 (80) | 11 (10) | 25 (53) | 24 (50) | 21 (45) | 31 (41) | 15/15 |
| DE-ROLL voglis | 2.9 (2) | 76 (127) | 12 (9) | 64 (123) | 65 (117) | 66 (104) | 160 (173) | 11/15 |
| DE-SIMPLEX voglis | 4.3 (4) | 77 (104) | 17 (18) | 43 (133) | 41 (126) | 37 (114) | 34 (104) | 15/15 |
| DEAE posik | 3.5 (2) | 54 (54) | 10 (7) | 234 (348) | 223 (441) | 202 (299) | 185 (182) | 10/15 |
| DE posik | 3.4 (2) | 55 (38) | 10 (8) | 125 (233) | 120 (225) | 109 (202) | 100 (184) | 12/15 |
| DEb posik | 3.4 (2) | 55 (38) | 10 (8) | 125 (234) | 120 (224) | 109 (204) | 100 (184) | 12/15 |
| DEctpb posik | 4.0 (4) | 73 (86) | 9.3 (9) | 76 (232) | 75 (221) | 69 (199) | 66 (182) | 13/15 |
| IPOPsaACM loshchilov | 4.7 (7) | 33 (34) | 7.9 (4) | 9.5 (9) | 10 (9) | 17 (13) | 16 (13) | 15/15 |
| JADE posik | 3.6 (4) | 34 (26) | 6.7 (5) | 119 (232) | 115 (220) | 104 (203) | 96 (182) | 12/15 |
| JADEb posik | 4.3 (4) | 25 (30) | 5.5 (4) | 120 (236) | 116 (223) | 105 (204) | 96 (185) | 12/15 |
| JADEctpb posik | 3.6 (4) | 34 (26) | 6.7 (5) | 119 (232) | 115 (221) | 104 (199) | 96 (182) | 12/15 |
| MVDE melo | 8.6 (11) | 68 (70) | 12 (14) | 3244 (4631) | 3432 (6608) | 3095 (2979) | 3183 (3623) | 8/15 |
| NBIPOPaCMA loshchilov | 5.7 (5) | 32 (43) | 25 (32) | 27 (46) | 31 (43) | 31 (39) | 28 (36) | 15/15 |
| NIPOPaCMA loshchilov | 7.0 (7) | 93 (45) | 15 (23) | 32 (28) | 34 (26) | 36 (24) | 34 (22) | 15/15 |
| PSO-BFGS voglis | 7.2 (8) | 91 (76) | 21 (27) | 13 (12) | 13 (11) | 12 (10) | 27 (26) | 15/15 |
| SNES schaul | 5.7 (8) | 24 (20) | 7.6 (7) | 12 (14) | 16 (36) | 51 (101) | 168 (262) | 14/15 |
| xNES schaul | 4.1 (4) | 31 (37) | 11 (9) | 31 (25) | 33 (32) | 40 (59) | 37 (54) | 15/15 |
| xNESas schaul | 5.9 (8) | 38 (40) | 15 (18) | 50 (57) | 65 (81) | 69 (75) | 64 (66) | 15/15 |
| Δ fopt f20, 2-D |
1e1 4.0 |
1e0 61 |
1e-1 365 |
1e-2 366 |
1e-3 366 |
1e-5 370 |
1e-7 375 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.0 (2) | 3.7 (3) | 57 (70) | 58 (70) | 58 (70) | 58 (70) | 57 (69) | 15/15 |
| BIPOPaCMA loshchilov | 3.8 (5) | 6.9 (6) | 7.8 (8) | 12 (14) | 13 (15) | 13 (15) | 13 (15) | 15/15 |
| BIPOPsaACM loshchilov | 3.6 (3) | 7.0 (8) | 5.3 (5) | 5.8 (6) | 5.9 (6) | 5.9 (6) | 6.0 (6) | 15/15 |
| CMAES posik | 2.3 (2) | 17 (19) | 21 (24) | 23 (24) | 23 (24) | 23 (24) | 23 (23) | 15/15 |
| CMA brockhoff | 4.1 (4) | 11 (14) | 8.2 (6) | 11 (19) | 11 (19) | 12 (21) | 12 (21) | 15/15 |
| CMAa brockhoff | 2.4 (3) | 9.5 (7) | 10 (11) | 12 (16) | 13 (23) | 14 (24) | 14 (24) | 15/15 |
| CMAm brockhoff | 2.2 (2) | 19 (19) | 16 (17) | 17 (17) | 17 (18) | 18 (19) | 19 (19) | 15/15 |
| CMAma brockhoff | 3.9 (5) | 14 (18) | 9.3 (11) | 11 (11) | 12 (12) | 12 (12) | 13 (12) | 15/15 |
| CMAmah brockhoff | 2.4 (2) | 14 (13) | 9.1 (6) | 11 (10) | 14 (11) | 14 (11) | 15 (11) | 15/15 |
| CMAmh brockhoff | 2.2 (2) | 12 (18) | 11 (11) | 12 (12) | 13 (12) | 13 (12) | 13 (12) | 15/15 |
| DBRCGA chuang | 2.2 (3) | 6.8 (6) | 4.8 (5) | 5.1 (5) | 5.2 (5) | 5.5 (5) | 5.8 (5) | 15/15 |
| DE-AUTO voglis | 1.7 (1) | 14 (26) | 42 (68) | 42 (67) | 42 (67) | 42 (67) | 41 (66) | 15/15 |
| DE-BFGS voglis | 3.4 (2) | 4.9 (3) | 12 (23) | 12 (23) | 12 (23) | 12 (22) | 12 (22) | 15/15 |
| DE-ROLL voglis | 1.6 (3) | 13 (19) | 30 (77) | 30 (76) | 30 (76) | 30 (76) | 30 (75) | 15/15 |
| DE-SIMPLEX voglis | 2.9 (2) | 5.0 (6) | 21 (15) | 21 (15) | 21 (15) | 21 (15) | 21 (15) | 15/15 |
| DEAE posik | 3.5 (3) | 5.6 (10) | 7.3 (9) | 7.4 (8) | 7.6 (9) | 7.8 (8) | 8.1 (8) | 15/15 |
| DE posik | 2.2 (3) | 5.1 (3) | 7.3 (7) | 7.5 (7) | 7.6 (7) | 8.0 (7) | 8.2 (7) | 15/15 |
| DEb posik | 2.2 (3) | 5.1 (3) | 7.3 (7) | 7.5 (7) | 7.6 (7) | 8.0 (7) | 8.2 (7) | 15/15 |
| DEctpb posik | 1.5 (2) | 2.7 (2) | 2.2 (3) | 2.6 (3) | 3.1 (3) | 3.6 (3) | 4.1 (3) | 15/15 |
| IPOPsaACM loshchilov | 2.4 (3) | 8.1 (11) | 6.9 (8) | 12 (13) | 13 (15) | 13 (15) | 13 (15) | 15/15 |
| JADE posik | 2.9 (3) | 3.8 (2) | 2.6 (4) | 2.9 (4) | 3.2 (4) | 3.6 (4) | 3.8 (4) | 15/15 |
| JADEb posik | 2.7 (4) | 7.7 (9) | 3.1 (3) | 3.2 (3) | 3.3 (3) | 3.5 (3) | 3.7 (3) | 15/15 |
| JADEctpb posik | 2.9 (3) | 3.8 (2) | 2.6 (4) | 2.9 (4) | 3.2 (4) | 3.6 (4) | 3.8 (4) | 15/15 |
| MVDE melo | 3.5 (5) | 7.3 (7) | 916 (1371) | 997 (1367) | 998 (2051) | 989 (1352) | 977 (1334) | 11/15 |
| NBIPOPaCMA loshchilov | 2.6 (3) | 8.1 (13) | 5.6 (6) | 7.1 (9) | 7.5 (9) | 7.6 (9) | 7.7 (9) | 15/15 |
| NIPOPaCMA loshchilov | 3.0 (4) | 12 (15) | 10 (9) | 11 (10) | 11 (10) | 13 (10) | 14 (10) | 15/15 |
| PSO-BFGS voglis | 6.1 (7) | 8.6 (9) | 4.9 (7) | 4.9 (7) | 4.9 (7) | 4.9 (7) | 4.8 (7) | 15/15 |
| SNES schaul | 5.3 (5) | 34 (50) | 18 (19) | 25 (24) | 29 (26) | 29 (26) | 29 (25) | 15/15 |
| xNES schaul | 6.1 (4) | 28 (34) | 22 (24) | 22 (23) | 22 (24) | 22 (23) | 22 (23) | 15/15 |
| xNESas schaul | 3.5 (3) | 27 (32) | 21 (26) | 21 (26) | 23 (26) | 23 (26) | 23 (25) | 15/15 |
| Δ fopt f21, 2-D |
1e1 2.0 |
1e0 51 |
1e-1 174 |
1e-2 276 |
1e-3 290 |
1e-5 324 |
1e-7 330 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.3 (1) | 1.1 (1) | 0.93 (0.7) | 1.1 (0.8) | 1.4 (0.6) | 1.6 (0.4) | 1.8 (0.5) | 15/15 |
| BIPOPaCMA loshchilov | 1.7 (2) | 5.5 (6) | 8.4 (11) | 6.6 (7) | 21 (7) | 22 (6) | 27 (6) | 15/15 |
| BIPOPsaACM loshchilov | 1.4 (1) | 3.9 (4) | 5.1 (6) | 3.6 (4) | 3.6 (4) | 5.0 (5) | 5.1 (5) | 15/15 |
| CMAES posik | 0.80 (0.5) | 10 (13) | 8.3 (12) | 5.3 (7) | 5.1 (7) | 4.7 (6) | 4.7 (6) | 15/15 |
| CMA brockhoff | 0.97 (1) | 6.1 (7) | 7.2 (7) | 4.8 (5) | 4.8 (5) | 4.7 (4) | 4.9 (4) | 15/15 |
| CMAa brockhoff | 0.77 (0.2) | 5.0 (7) | 3.8 (8) | 2.5 (5) | 2.6 (5) | 2.5 (5) | 2.6 (5) | 15/15 |
| CMAm brockhoff | 2.0 (2) | 7.2 (7) | 5.9 (9) | 4.0 (6) | 3.9 (5) | 3.7 (5) | 3.8 (5) | 15/15 |
| CMAma brockhoff | 1.2 (0.8) | 8.6 (15) | 8.0 (13) | 7.6 (16) | 7.7 (16) | 10 (15) | 21 (16) | 15/15 |
| CMAmah brockhoff | 1.7 (2) | 7.1 (7) | 6.9 (9) | 4.5 (5) | 4.4 (5) | 4.2 (5) | 4.2 (5) | 15/15 |
| CMAmh brockhoff | 1.1 (0.8) | 6.0 (10) | 3.5 (4) | 2.2 (2) | 2.2 (2) | 2.1 (2) | 3.0 (2) | 15/15 |
| DBRCGA chuang | 1.3 (1) | 1.3 (2) | 0.84 (0.8) | 0.78 (0.5) | 0.97 (0.4) | 1.2 (0.3) | 1.5 (0.4) | 15/15 |
| DE-AUTO voglis | 1 (0.5) | 19 (40) | 20 (19) | 13 (12) | 12 (11) | 11 (10) | 11 (10) | 15/15 |
| DE-BFGS voglis | 1.1 (0.8) | 2.3 (4) | 10 (11) | 6.2 (7) | 5.9 (7) | 5.4 (6) | 5.9 (6) | 15/15 |
| DE-ROLL voglis | 1.1 (0.8) | 15 (25) | 24 (55) | 15 (35) | 15 (33) | 14 (30) | 18 (30) | 15/15 |
| DE-SIMPLEX voglis | 1.1 (0.8) | 3.8 (6) | 19 (41) | 12 (26) | 11 (24) | 10 (22) | 10 (22) | 15/15 |
| DEAE posik | 1.3 (1) | 1.6 (2) | 2.6 (4) | 1.8 (3) | 1.9 (2) | 1.9 (2) | 2.1 (2) | 15/15 |
| DE posik | 0.90 (0.8) | 3.8 (2) | 4.4 (6) | 2.9 (4) | 3.0 (4) | 3.0 (3) | 3.2 (3) | 15/15 |
| DEb posik | 0.90 (0.8) | 3.8 (2) | 4.4 (6) | 2.9 (4) | 3.0 (4) | 3.0 (3) | 3.2 (3) | 15/15 |
| DEctpb posik | 1.2 (1) | 4.2 (6) | 2.8 (5) | 2.0 (3) | 2.3 (3) | 2.4 (3) | 2.8 (3) | 15/15 |
| IPOPsaACM loshchilov | 1.1 (1) | 6.7 (9) | 5.6 (8) | 4.0 (5) | 10 (6) | 10 (6) | 11 (6) | 15/15 |
| JADE posik | 0.90 (0.5) | 1.1 (1) | 4.0 (8) | 2.7 (5) | 2.8 (5) | 2.9 (4) | 3.1 (4) | 15/15 |
| JADEb posik | 1.2 (0.8) | 2.4 (2) | 3.6 (5) | 2.4 (3) | 2.3 (3) | 2.2 (3) | 2.3 (3) | 15/15 |
| JADEctpb posik | 0.90 (0.5) | 1.1 (1) | 4.0 (8) | 2.7 (5) | 2.8 (5) | 2.9 (4) | 3.1 (4) | 15/15 |
| MVDE melo | 1.1 (1) | 1.8 (2) | 384 (2) | 243 (1) | 248 (2) | 224 (2) | 221 (3) | 14/15 |
| NBIPOPaCMA loshchilov | 1 (0.5) | 22 (39) | 10 (11) | 9.0 (12) | 8.6 (11) | 7.8 (10) | 7.8 (10) | 15/15 |
| NIPOPaCMA loshchilov | 0.63 (0.2) | 13 (13) | 68 (34) | 45 (21) | 43 (21) | 39 (19) | 38 (20) | 15/15 |
| PSO-BFGS voglis | 1.0 (0.8) | 3.3 (4) | 2.6 (4) | 1.7 (2) | 1.6 (2) | 1.5 (2) | 16 (28) | 15/15 |
| SNES schaul | 0.93 (0.5) | 43 (59) | 23 (40) | 14 (25) | 14 (24) | 13 (22) | 13 (21) | 15/15 |
| xNES schaul | 1.1 (1) | 29 (42) | 21 (28) | 14 (18) | 14 (17) | 14 (15) | 14 (15) | 15/15 |
| xNESas schaul | 1.2 (1) | 19 (37) | 17 (38) | 11 (24) | 10 (23) | 9.4 (20) | 9.4 (20) | 15/15 |
| Δ fopt f22, 2-D |
1e1 5.0 |
1e0 27 |
1e-1 168 |
1e-2 218 |
1e-3 249 |
1e-5 289 |
1e-7 306 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.4 (1) | 2.2 (2) | 42 (151) | 34 (120) | 30 (105) | 28 (90) | 28 (88) | 15/15 |
| BIPOPaCMA loshchilov | 3.3 (4) | 16 (12) | 5.3 (10) | 5.6 (8) | 5.7 (7) | 5.2 (6) | 5.1 (6) | 15/15 |
| BIPOPsaACM loshchilov | 5.3 (2) | 10 (15) | 5.4 (8) | 4.8 (6) | 6.3 (6) | 6.8 (9) | 6.5 (8) | 15/15 |
| CMAES posik | 1.6 (2) | 8.2 (12) | 4.9 (4) | 5.3 (7) | 4.9 (6) | 4.4 (5) | 4.3 (5) | 15/15 |
| CMA brockhoff | 1.8 (2) | 6.4 (12) | 6.8 (12) | 16 (23) | 14 (22) | 62 (109) | 108 (228) | 14/15 |
| CMAa brockhoff | 1.4 (2) | 11 (12) | 7.5 (16) | 8.2 (16) | 7.9 (17) | 8.8 (16) | 11 (17) | 14/15 |
| CMAm brockhoff | 1.7 (2) | 19 (45) | 11 (8) | 8.7 (6) | 8.3 (6) | 8.9 (9) | 9.0 (9) | 15/15 |
| CMAma brockhoff | 8.4 (2) | 14 (21) | 6.7 (8) | 7.2 (7) | 7.9 (12) | 12 (16) | 12 (17) | 15/15 |
| CMAmah brockhoff | 6.6 (1) | 8.6 (17) | 11 (14) | 8.9 (11) | 7.9 (10) | 26 (31) | 129 (370) | 14/15 |
| CMAmh brockhoff | 1.6 (1) | 14 (17) | 10 (16) | 16 (25) | 40 (27) | 49 (81) | 104 (211) | 15/15 |
| DBRCGA chuang | 0.93 (0.8) | 2.3 (3) | 0.96 (0.9) | 1.1 (0.9) | 1.3 (0.9) | 1.4 (0.9) | 1.9 (1) | 15/15 |
| DE-AUTO voglis | 1.3 (1) | 8.7 (20) | 15 (7) | 11 (5) | 10 (5) | 8.6 (4) | 9.3 (4) | 15/15 |
| DE-BFGS voglis | 1.4 (2) | 2.2 (2) | 0.63 (0.6) | 0.61 (0.4) | 0.58 (0.3)↑1 | 0.53 (0.3)↑1 | 1.7 (2) | 15/15 |
| DE-ROLL voglis | 0.89 (1) | 8.2 (15) | 15 (24) | 14 (19) | 14 (18) | 23 (26) | 55 (56) | 15/15 |
| DE-SIMPLEX voglis | 1.5 (2) | 2.4 (4) | 2.8 (2) | 2.3 (1) | 2.1 (1) | 1.9 (1) | 1.8 (1) | 15/15 |
| DEAE posik | 2.3 (2) | 10 (20) | 2.5 (4) | 2.1 (3) | 2.0 (3) | 2.1 (3) | 2.2 (2) | 15/15 |
| DE posik | 1.1 (1) | 6.4 (5) | 4.5 (7) | 3.9 (5) | 3.7 (4) | 3.6 (4) | 3.8 (4) | 15/15 |
| DEb posik | 1.1 (1) | 6.4 (5) | 4.5 (7) | 3.9 (5) | 3.7 (4) | 3.6 (4) | 3.8 (4) | 15/15 |
| DEctpb posik | 1.4 (1) | 3.5 (3) | 2.1 (5) | 2.1 (3) | 2.1 (3) | 2.5 (3) | 2.8 (3) | 15/15 |
| IPOPsaACM loshchilov | 1.5 (2) | 10 (16) | 3.0 (5) | 2.9 (4) | 3.4 (4) | 6.3 (4) | 16 (3) | 15/15 |
| JADE posik | 1.2 (0.9) | 2.0 (2) | 1.7 (3) | 1.5 (3) | 1.5 (2) | 1.6 (2) | 1.9 (2) | 15/15 |
| JADEb posik | 1.2 (1) | 2.0 (2) | 5.7 (6) | 4.8 (5) | 4.3 (4) | 3.9 (3) | 3.9 (3) | 15/15 |
| JADEctpb posik | 1.2 (0.9) | 2.0 (2) | 1.7 (3) | 1.5 (3) | 1.5 (2) | 1.6 (2) | 1.9 (2) | 15/15 |
| MVDE melo | 1.1 (1) | 3.4 (3) | 2.0 (1) | 2.1 (1) | 3.3 (3) | 5.0 (3) | 5.8 (3) | 15/15 |
| NBIPOPaCMA loshchilov | 1.3 (0.7) | 10 (11) | 11 (11) | 10 (9) | 9.1 (8) | 8.2 (7) | 8.0 (6) | 15/15 |
| NIPOPaCMA loshchilov | 2.4 (2) | 55 (122) | 12 (20) | 10 (17) | 13 (29) | 12 (25) | 11 (24) | 15/15 |
| PSO-BFGS voglis | 1.3 (1) | 2.4 (2) | 1.1 (1) | 0.95 (1.0) | 0.85 (0.9) | 0.80 (0.8) | 17 (25) | 15/15 |
| SNES schaul | 2.5 (3) | 70 (94) | 40 (79) | 73 (64) | 105 (142) | 107 (132) | 141 (171) | 15/15 |
| xNES schaul | 2.0 (2) | 71 (110) | 27 (32) | 22 (25) | 20 (22) | 23 (27) | 21 (25) | 15/15 |
| xNESas schaul | 4.5 (3) | 45 (86) | 21 (27) | 20 (21) | 21 (21) | 18 (18) | 17 (17) | 15/15 |
| Δ fopt f23, 2-D |
1e1 8.0 |
1e0 193 |
1e-1 234 |
1e-2 263 |
1e-3 299 |
1e-5 348 |
1e-7 379 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.4 (2) | 10 (9) | 1019 (808) | 5.7e5 (6e5) | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.5 (3) | 5.6 (4) | 8.7 (11) | 8.0 (10) | 7.4 (9) | 6.8 (7) | 6.7 (7) | 15/15 |
| BIPOPsaACM loshchilov | 2.3 (2) | 7.9 (12) | 12 (14) | 11 (13) | 10 (11) | 11 (12) | 10 (11) | 15/15 |
| CMAES posik | 3.9 (4) | 6.3 (7) | 14 (10) | 13 (9) | 12 (10) | 11 (8) | 10 (8) | 15/15 |
| CMA brockhoff | 1.5 (1) | 4.1 (4) | 10 (9) | 10 (8) | 8.8 (7) | 8.2 (6) | 8.0 (6) | 15/15 |
| CMAa brockhoff | 1.4 (2) | 5.5 (7) | 22 (20) | 23 (17) | 20 (15) | 18 (14) | 17 (13) | 15/15 |
| CMAm brockhoff | 2.5 (2) | 7.5 (8) | 60 (23) | 123 (20) | 109 (18) | 94 (16) | 87 (15) | 14/15 |
| CMAma brockhoff | 2.5 (3) | 5.0 (6) | 15 (21) | 14 (19) | 12 (17) | 11 (15) | 11 (14) | 15/15 |
| CMAmah brockhoff | 2.4 (3) | 5.9 (7) | 13 (13) | 12 (11) | 11 (10) | 10 (9) | 10 (8) | 15/15 |
| CMAmh brockhoff | 2.4 (3) | 5.6 (6) | 17 (19) | 15 (18) | 14 (16) | 12 (14) | 12 (13) | 15/15 |
| DBRCGA chuang | 1.6 (2) | 9.4 (6) | 58 (68) | 68 (69) | 61 (61) | 53 (52) | 50 (48) | 15/15 |
| DE-AUTO voglis | 2.0 (3) | 1.4 (1) | 3.1 (3) | 3.3 (3) | 3.1 (2) | 2.9 (2) | 2.8 (1) | 15/15 |
| DE-BFGS voglis | 1.9 (2) | 2.4 (2) | 4.0 (4) | 4.9 (4) | 5.8 (5) | 12 (3) | 348 (584) | 2/15 |
| DE-ROLL voglis | 1.6 (2) | 5.2 (4) | 22 (22) | 28 (21) | 34 (25) | 36 (32) | 265 (628) | 10/15 |
| DE-SIMPLEX voglis | 1.3 (1) | 0.84 (0.6) | 0.78 (0.5) | 0.76 (0.5) | 0.72 (0.4)★ | 9.4 (3) | 500 (443) | 3/15 |
| DEAE posik | 7.4 (9) | 13 (11) | 63 (77) | 67 (72) | 60 (63) | 52 (58) | 49 (53) | 15/15 |
| DE posik | 2.8 (3) | 9.5 (12) | 30 (23) | 29 (21) | 26 (18) | 24 (16) | 24 (22) | 15/15 |
| DEb posik | 2.8 (3) | 9.5 (12) | 30 (23) | 29 (21) | 26 (18) | 24 (16) | 24 (22) | 15/15 |
| DEctpb posik | 2.2 (3) | 18 (23) | 229 (387) | 652 (627) | 1504 (2056) | 2016 (2609) | 1861 (2016) | 1/15 |
| IPOPsaACM loshchilov | 2.1 (3) | 7.4 (8) | 9.0 (9) | 9.5 (10) | 8.6 (9) | 8.5 (8) | 8.0 (7) | 15/15 |
| JADE posik | 2.3 (2) | 5.1 (6) | 48 (79) | 49 (76) | 50 (67) | 43 (58) | 40 (53) | 15/15 |
| JADEb posik | 2.1 (2) | 4.9 (5) | 18 (15) | 26 (13) | 23 (12) | 21 (10) | 20 (9) | 15/15 |
| JADEctpb posik | 2.3 (2) | 5.1 (6) | 48 (79) | 49 (76) | 50 (67) | 43 (58) | 40 (53) | 15/15 |
| MVDE melo | 0.97 (0.8) | 6.3 (4) | 2166 (2143) | 7640 (9506) | 6728 (5857) | 5787 (9343) | 5318 (1e4) | 5/15 |
| NBIPOPaCMA loshchilov | 1.8 (2) | 6.2 (8) | 12 (9) | 11 (8) | 11 (11) | 10 (9) | 9.3 (9) | 15/15 |
| NIPOPaCMA loshchilov | 2.3 (2) | 9.0 (8) | 16 (10) | 17 (9) | 15 (8) | 14 (7) | 13 (7) | 15/15 |
| PSO-BFGS voglis | 3.4 (4) | 1.9 (2) | 3.3 (4) | 3.6 (4) | 4.2 (4) | 44 (40) | ∞2e5 | 0/15 |
| SNES schaul | 2.0 (3) | 11 (12) | 305 (417) | 404 (710) | 461 (631) | 399 (422) | 477 (543) | 8/15 |
| xNES schaul | 1.4 (2) | 18 (19) | 95 (91) | 86 (80) | 79 (69) | 82 (73) | 79 (67) | 15/15 |
| xNESas schaul | 2.5 (4) | 15 (16) | 95 (128) | 109 (104) | 100 (89) | 87 (76) | 159 (160) | 0/15 |
| Δ fopt f24, 2-D |
1e1 18 |
1e0 857 |
1e-1 8515 |
1e-2 23399 |
1e-3 24113 |
1e-5 24721 |
1e-7 24721 |
#succ 5/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.1 (2) | 546 (779) | 59 (79) | 22 (29) | 21 (28) | 21 (27) | 21 (27) | 15/15 |
| BIPOPaCMA loshchilov | 1.3 (2) | 12 (13) | 28 (44) | 16 (17) | 15 (17) | 18 (17) | 18 (17) | 15/15 |
| BIPOPsaACM loshchilov | 1.5 (1) | 23 (39) | 10 (12) | 11 (8) | 19 (33) | 34 (35) | 34 (35) | 14/15 |
| CMAES posik | 1.9 (1) | 6.9 (9) | 5.9 (7) | 8.6 (8) | 8.4 (12) | 8.2 (7) | 8.2 (8) | 6/15 |
| CMA brockhoff | 4.3 (1) | 52 (71) | 130 (129) | 240 (317) | 233 (162) | 227 (292) | 227 (247) | 1/15 |
| CMAa brockhoff | 1.0 (1.0) | 119 (264) | 132 (154) | 113 (107) | 110 (107) | 107 (96) | 107 (134) | 2/15 |
| CMAm brockhoff | 1.7 (3) | 106 (382) | 95 (95) | 35 (52) | 46 (87) | 45 (45) | 45 (61) | 4/15 |
| CMAma brockhoff | 2.0 (2) | 73 (172) | 307 (435) | 240 (450) | ∞ | ∞ | ∞4e5 | 0/15 |
| CMAmah brockhoff | 1.6 (1) | 56 (137) | 130 (154) | 112 (107) | 109 (108) | 106 (89) | 106 (118) | 2/15 |
| CMAmh brockhoff | 1.2 (0.8) | 98 (178) | 133 (153) | 116 (98) | 113 (125) | 110 (101) | 110 (122) | 2/15 |
| DBRCGA chuang | 1.2 (2) | 4.8 (5) | 4.2 (6) | 5.0 (5) | 5.0 (5) | 4.9 (5) | 4.9 (5) | 12/15 |
| DE-AUTO voglis | 1.4 (2) | 79 (115) | 10 (12) | 4.1 (5) | 4.0 (5) | 3.9 (4) | 3.9 (4) | 11/15 |
| DE-BFGS voglis | 1.6 (2) | 41 (57) | 4.2 (6) | 1.6 (2) | 1.5 (2) | 1.5 (2) | 1.5 (2) | 15/15 |
| DE-ROLL voglis | 8.7 (1) | 314 (507) | 33 (51) | 12 (17) | 12 (12) | 12 (16) | 12 (12) | 7/15 |
| DE-SIMPLEX voglis | 1.1 (0.9) | 79 (64) | 8.1 (6) | 3.0 (2) | 2.9 (2) | 2.8 (2) | 2.8 (2) | 15/15 |
| DEAE posik | 1.6 (2) | 7.7 (8) | 5.0 (7) | 3.7 (5) | 3.6 (3) | 3.5 (3) | 3.5 (3) | 11/15 |
| DE posik | 2.0 (2) | 18 (16) | 3.1 (3) | 2.4 (2) | 2.4 (3) | 2.3 (2) | 2.3 (3) | 13/15 |
| DEb posik | 2.0 (2) | 18 (16) | 3.1 (3) | 2.4 (2) | 2.4 (3) | 2.3 (2) | 2.3 (2) | 13/15 |
| DEctpb posik | 1.5 (2) | 124 (198) | 15 (19) | 5.4 (7) | 5.3 (6) | 5.2 (6) | 5.2 (7) | 8/15 |
| IPOPsaACM loshchilov | 1.8 (2) | 58 (96) | 258 (411) | 365 (449) | 573 (726) | 559 (648) | 559 (514) | 2/15 |
| JADE posik | 2.1 (2) | 5.3 (12) | 1.9 (2) | 0.81 (0.8) | 0.80 (0.7) | 0.78 (0.7) | 0.79 (0.7) | 15/15 |
| JADEb posik | 2.2 (2) | 5.7 (4) | 2.9 (4) | 3.0 (3) | 3.0 (2) | 2.9 (3) | 2.9 (3) | 12/15 |
| JADEctpb posik | 2.1 (2) | 5.3 (12) | 1.9 (2) | 0.81 (0.8) | 0.80 (0.7) | 0.78 (0.7) | 0.79 (0.7) | 15/15 |
| MVDE melo | 1.8 (1) | 4670 (4377) | 470 (910) | 278 (299) | 270 (394) | 263 (273) | 263 (263) | 2/15 |
| NBIPOPaCMA loshchilov | 4.8 (2) | 6.9 (10) | 14 (28) | 7.5 (10) | 7.9 (10) | 7.8 (9) | 7.8 (9) | 15/15 |
| NIPOPaCMA loshchilov | 1.7 (1) | 38 (27) | 23 (28) | 21 (38) | 22 (38) | 22 (37) | 22 (37) | 14/15 |
| PSO-BFGS voglis | 1.4 (2) | 3.2 (2) | 0.97 (0.8) | 0.55 (0.5) | 0.53 (0.5) | 0.52 (0.5) | 0.52 (0.5) | 15/15 |
| SNES schaul | 16 (0.8) | 4.5 (7) | 4.9 (7) | 5.6 (6) | 13 (10) | 15 (12) | 15 (12) | 6/15 |
| xNES schaul | 3.7 (2) | 5.8 (7) | 10 (10) | 15 (22) | 20 (23) | 19 (18) | 19 (18) | 4/15 |
| xNESas schaul | 2.2 (1) | 7.7 (16) | 13 (14) | 21 (22) | 28 (30) | 27 (24) | 27 (30) | 4/15 |
Previous dimension | Dimension = 3 | Next dimension
| Δ fopt f1, 3-D |
1e1 4.0 |
1e0 8.0 |
1e-1 8.0 |
1e-2 8.0 |
1e-3 8.0 |
1e-5 8.0 |
1e-7 8.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.7 (2) | 6.8 (6) | 17 (6) | 28 (13) | 40 (7) | 59 (7) | 82 (7) | 15/15 |
| BIPOPaCMA loshchilov | 3.5 (4) | 4.7 (2) | 11 (3) | 17 (4) | 21 (4) | 32 (4) | 42 (6) | 15/15 |
| BIPOPsaACM loshchilov | 2.8 (3) | 4.0 (3) | 7.9 (2) | 10 (1) | 12 (0.8) | 15 (1) | 19 (1) | 15/15 |
| CMAES posik | 3.0 (3) | 5.4 (4) | 11 (4) | 18 (4) | 25 (5) | 36 (4) | 46 (6) | 15/15 |
| CMA brockhoff | 1.9 (2) | 5.6 (3) | 10 (3) | 16 (4) | 22 (5) | 33 (6) | 46 (3) | 15/15 |
| CMAa brockhoff | 2.6 (3) | 4.2 (3) | 9.0 (4) | 15 (4) | 20 (5) | 30 (7) | 41 (4) | 15/15 |
| CMAm brockhoff | 2.1 (2) | 4.4 (4) | 9.2 (3) | 13 (4) | 17 (3) | 25 (5) | 34 (4) | 15/15 |
| CMAma brockhoff | 2.9 (3) | 5.0 (3) | 9.5 (3) | 13 (4) | 18 (4) | 26 (5) | 35 (5) | 15/15 |
| CMAmah brockhoff | 2.5 (3) | 3.8 (3) | 7.0 (4) | 11 (2) | 15 (3) | 22 (3) | 30 (4) | 15/15 |
| CMAmh brockhoff | 2.0 (2) | 3.6 (2) | 7.7 (2) | 11 (3) | 16 (3) | 24 (5) | 33 (5) | 15/15 |
| DBRCGA chuang | 1.6 (2) | 15 (12) | 34 (22) | 61 (20) | 79 (27) | 129 (31) | 171 (34) | 15/15 |
| DE-AUTO voglis | 1.7 (2) | 5.8 (3) | 8.1 (0.1) | 8.1 (0.1) | 8.1 (0.1) | 8.1 (0.1) | 8.1 (0.1) | 15/15 |
| DE-BFGS voglis | 2.0 (2) | 5.8 (3) | 7.3 (0.2) | 7.3 (0.2) | 7.3 (0.2) | 7.3 (0.2) | 7.3 (0.2) | 15/15 |
| DE-ROLL voglis | 2.4 (2) | 10 (15) | 13 (12) | 13 (11) | 13 (11) | 13 (11) | 13 (11) | 15/15 |
| DE-SIMPLEX voglis | 2.5 (2) | 8.6 (4) | 12 (3) | 13 (3) | 15 (3) | 18 (3) | 21 (3) | 15/15 |
| DEAE posik | 2.3 (4) | 11 (6) | 22 (9) | 36 (14) | 54 (10) | 80 (13) | 107 (14) | 15/15 |
| DE posik | 2.1 (2) | 11 (4) | 21 (14) | 36 (9) | 49 (8) | 77 (11) | 102 (11) | 15/15 |
| DEb posik | 2.1 (2) | 11 (4) | 21 (14) | 36 (9) | 49 (8) | 77 (11) | 102 (11) | 15/15 |
| DEctpb posik | 3.2 (3) | 13 (6) | 27 (6) | 42 (11) | 58 (10) | 84 (12) | 116 (10) | 15/15 |
| IPOPsaACM loshchilov | 2.9 (3) | 5.5 (3) | 9.3 (1) | 11 (1) | 12 (2) | 16 (2) | 19 (2) | 15/15 |
| JADE posik | 3.1 (3) | 8.4 (6) | 18 (7) | 29 (5) | 42 (8) | 65 (8) | 87 (11) | 15/15 |
| JADEb posik | 2.1 (2) | 6.8 (5) | 14 (4) | 22 (7) | 28 (4) | 48 (5) | 64 (7) | 15/15 |
| JADEctpb posik | 3.1 (3) | 8.4 (6) | 18 (7) | 29 (5) | 42 (8) | 65 (8) | 87 (11) | 15/15 |
| MVDE melo | 1.4 (1) | 15 (12) | 49 (17) | 87 (16) | 125 (17) | 197 (26) | 285 (18) | 15/15 |
| NBIPOPaCMA loshchilov | 2.5 (3) | 5.0 (4) | 11 (5) | 16 (4) | 21 (4) | 33 (6) | 42 (8) | 15/15 |
| NIPOPaCMA loshchilov | 3.5 (4) | 5.7 (5) | 10 (6) | 17 (4) | 22 (7) | 34 (7) | 44 (7) | 15/15 |
| PSO-BFGS voglis | 1.6 (1) | 7.0 (0.2) | 7.4 (0.2) | 7.4 (0.2) | 7.4 (0.2) | 7.4 (0.2) | 7.4 (0.2) | 15/15 |
| SNES schaul | 3.5 (4) | 4.8 (3) | 9.2 (2) | 17 (6) | 27 (6) | 44 (6) | 62 (6) | 15/15 |
| xNES schaul | 3.5 (4) | 5.1 (2) | 12 (4) | 20 (4) | 29 (6) | 49 (7) | 67 (7) | 15/15 |
| xNESas schaul | 4.9 (4) | 5.7 (3) | 12 (4) | 20 (6) | 28 (4) | 45 (7) | 57 (7) | 15/15 |
| Δ fopt f2, 3-D |
1e1 38 |
1e0 42 |
1e-1 43 |
1e-2 44 |
1e-3 45 |
1e-5 47 |
1e-7 48 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 8.1 (2) | 9.3 (1) | 11 (0.8) | 12 (1) | 14 (1) | 17 (0.9) | 20 (1) | 15/15 |
| BIPOPaCMA loshchilov | 11 (4) | 12 (4) | 14 (3) | 15 (3) | 15 (3) | 17 (3) | 18 (3) | 15/15 |
| BIPOPsaACM loshchilov | 4.4 (1) | 4.4 (1) | 4.9 (0.9) | 5.2 (1) | 5.3 (0.9) | 5.6 (1) | 6.2 (1) | 15/15 |
| CMAES posik | 12 (5) | 17 (4) | 18 (3) | 19 (2) | 20 (2) | 21 (2) | 23 (2) | 15/15 |
| CMA brockhoff | 14 (4) | 16 (6) | 19 (2) | 19 (2) | 20 (2) | 21 (2) | 23 (2) | 15/15 |
| CMAa brockhoff | 11 (4) | 13 (2) | 14 (2) | 15 (1) | 16 (2) | 17 (2) | 18 (2) | 15/15 |
| CMAm brockhoff | 14 (6) | 17 (5) | 18 (3) | 19 (2) | 20 (2) | 20 (2) | 21 (2) | 15/15 |
| CMAma brockhoff | 11 (6) | 13 (5) | 14 (2) | 15 (2) | 16 (2) | 16 (2) | 18 (2) | 15/15 |
| CMAmah brockhoff | 16 (6) | 19 (2) | 19 (3) | 19 (2) | 20 (3) | 20 (2) | 21 (2) | 15/15 |
| CMAmh brockhoff | 21 (10) | 24 (6) | 26 (4) | 26 (4) | 26 (4) | 27 (4) | 28 (4) | 15/15 |
| DBRCGA chuang | 15 (4) | 20 (4) | 24 (6) | 26 (5) | 31 (7) | 37 (7) | 45 (7) | 15/15 |
| DE-AUTO voglis | 2.1 (0.2) | 2.0 (0.1) | 2.1 (0.2) | 2.2 (0.2) | 2.2 (0.2) | 2.4 (0.8) | 2.6 (0.8) | 15/15 |
| DE-BFGS voglis | 2.1 (0.2) | 2.0 (0.2) | 2.1 (0.3) | 2.1 (0.2) | 2.2 (0.3) | 2.3 (0.3) | 2.4 (0.3) | 15/15 |
| DE-ROLL voglis | 3.9 (3) | 3.7 (3) | 3.8 (3) | 3.7 (3) | 3.8 (3) | 4.0 (2) | 4.3 (2) | 15/15 |
| DE-SIMPLEX voglis | 2.7 (0.9) | 3.3 (1) | 3.8 (0.8) | 4.1 (0.7) | 4.2 (0.7) | 4.5 (0.7) | 4.9 (0.6) | 15/15 |
| DEAE posik | 11 (3) | 12 (1) | 15 (2) | 17 (2) | 19 (3) | 23 (4) | 27 (3) | 15/15 |
| DE posik | 9.5 (2) | 11 (2) | 13 (2) | 16 (2) | 18 (3) | 21 (2) | 28 (4) | 15/15 |
| DEb posik | 9.5 (2) | 11 (2) | 13 (2) | 16 (2) | 18 (3) | 21 (2) | 28 (4) | 15/15 |
| DEctpb posik | 10 (3) | 12 (2) | 15 (2) | 17 (2) | 19 (2) | 23 (1) | 28 (3) | 15/15 |
| IPOPsaACM loshchilov | 4.2 (1) | 4.3 (0.8) | 4.7 (1) | 4.9 (0.9) | 5.1 (1) | 5.6 (1) | 6.1 (1) | 15/15 |
| JADE posik | 7.8 (2) | 10 (2) | 12 (1) | 14 (1) | 15 (1) | 19 (2) | 23 (2) | 15/15 |
| JADEb posik | 6.3 (2) | 7.2 (2) | 8.5 (2) | 10 (1) | 11 (2) | 14 (2) | 17 (2) | 15/15 |
| JADEctpb posik | 7.8 (2) | 10 (2) | 12 (1) | 14 (1) | 15 (1) | 19 (2) | 23 (2) | 15/15 |
| MVDE melo | 23 (4) | 27 (5) | 33 (4) | 40 (6) | 46 (4) | 58 (5) | 70 (5) | 15/15 |
| NBIPOPaCMA loshchilov | 9.3 (4) | 11 (4) | 14 (4) | 15 (2) | 15 (2) | 17 (2) | 18 (2) | 15/15 |
| NIPOPaCMA loshchilov | 11 (6) | 13 (3) | 14 (2) | 15 (2) | 15 (3) | 17 (2) | 18 (2) | 15/15 |
| PSO-BFGS voglis | 2.1 (0.2) | 2.0 (0.3) | 2.1 (0.3) | 2.1 (0.3) | 2.2 (0.5) | 2.3 (0.5) | 2.5 (0.6) | 15/15 |
| SNES schaul | 6.8 (2) | 8.0 (2) | 9.4 (2) | 11 (2) | 11 (1) | 15 (2) | 17 (1) | 15/15 |
| xNES schaul | 10 (3) | 13 (4) | 14 (4) | 19 (7) | 21 (7) | 25 (6) | 28 (5) | 15/15 |
| xNESas schaul | 8.5 (3) | 10 (3) | 11 (4) | 12 (3) | 13 (3) | 15 (4) | 17 (3) | 15/15 |
| Δ fopt f3, 3-D |
1e1 38 |
1e0 822 |
1e-1 830 |
1e-2 835 |
1e-3 842 |
1e-5 847 |
1e-7 853 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.0 (2) | 11 (1) | 113 (122) | 113 (122) | 112 (121) | 112 (120) | 111 (119) | 15/15 |
| BIPOPaCMA loshchilov | 3.1 (1) | 4.3 (5) | 12 (17) | 12 (17) | 12 (17) | 12 (17) | 12 (18) | 15/15 |
| BIPOPsaACM loshchilov | 2.6 (1) | 2.1 (2) | 13 (17) | 13 (17) | 13 (17) | 13 (17) | 13 (17) | 15/15 |
| CMAES posik | 6.1 (5) | 5.3 (6) | 21 (16) | 21 (16) | 21 (15) | 21 (15) | 21 (15) | 15/15 |
| CMA brockhoff | 10 (16) | 4.0 (4) | 21 (23) | 39 (67) | 41 (69) | 42 (70) | 43 (71) | 15/15 |
| CMAa brockhoff | 7.7 (12) | 2.8 (2) | 23 (43) | 29 (50) | 30 (51) | 31 (53) | 32 (54) | 15/15 |
| CMAm brockhoff | 5.4 (11) | 2.2 (2) | 18 (13) | 20 (15) | 21 (15) | 21 (15) | 22 (15) | 15/15 |
| CMAma brockhoff | 3.2 (2) | 4.2 (7) | 11 (12) | 12 (13) | 12 (13) | 12 (13) | 13 (13) | 15/15 |
| CMAmah brockhoff | 7.2 (11) | 2.7 (3) | 27 (28) | 29 (29) | 33 (31) | 34 (32) | 34 (32) | 15/15 |
| CMAmh brockhoff | 4.4 (4) | 3.4 (2) | 30 (44) | 81 (115) | 86 (122) | 89 (126) | 90 (128) | 15/15 |
| DBRCGA chuang | 7.9 (3) | 1.9 (0.8) | 3.3 (2) | 3.6 (2) | 3.8 (2) | 4.1 (2) | 4.5 (2) | 15/15 |
| DE-AUTO voglis | 7.6 (12) | 3.1 (3) | 6.8 (6) | 6.8 (6) | 6.7 (6) | 6.7 (6) | 6.7 (6) | 15/15 |
| DE-BFGS voglis | 8.2 (9) | 1.4 (0.6) | 2.9 (3) | 2.9 (3) | 2.9 (3) | 2.9 (2) | 2.9 (2) | 15/15 |
| DE-ROLL voglis | 5.9 (6) | 1.4 (1) | 3.6 (2) | 3.6 (2) | 3.6 (2) | 3.6 (2) | 3.5 (2) | 15/15 |
| DE-SIMPLEX voglis | 11 (9) | 3.1 (2) | 8.7 (14) | 8.7 (14) | 8.6 (14) | 8.6 (14) | 8.6 (14) | 15/15 |
| DEAE posik | 6.3 (4) | 2.3 (2) | 6.3 (8) | 6.4 (8) | 6.5 (8) | 6.7 (8) | 6.9 (8) | 15/15 |
| DE posik | 4.8 (3) | 0.65 (0.3)↑0 | 1.6 (2) | 1.7 (2) | 1.8 (2) | 2.1 (2) | 2.3 (2) | 15/15 |
| DEb posik | 4.8 (3) | 0.65 (0.3)↑0 | 1.6 (2) | 1.7 (2) | 1.8 (2) | 2.1 (2) | 2.3 (2) | 15/15 |
| DEctpb posik | 4.7 (2) | 0.96 (0.5) | 1.3 (0.3) | 1.7 (0.4) | 1.9 (0.4) | 2.3 (0.3) | 2.6 (0.3) | 15/15 |
| IPOPsaACM loshchilov | 5.2 (3) | 3.4 (4) | 17 (21) | 57 (113) | 76 (116) | 76 (117) | 77 (117) | 15/15 |
| JADE posik | 3.4 (2) | 0.78 (0.3) | 1.2 (0.4) | 1.4 (0.2) | 1.5 (0.2) | 1.8 (0.3) | 2.1 (0.4) | 15/15 |
| JADEb posik | 3.5 (2) | 0.81 (1) | 4.1 (5) | 4.2 (5) | 4.2 (5) | 4.4 (5) | 4.5 (5) | 15/15 |
| JADEctpb posik | 3.4 (2) | 0.78 (0.3) | 1.2 (0.4) | 1.4 (0.2) | 1.5 (0.2) | 1.8 (0.3) | 2.1 (0.4) | 15/15 |
| MVDE melo | 8.8 (4) | 1.5 (0.3) | 1.8 (0.4) | 2.3 (0.3) | 2.8 (0.4) | 3.5 (0.3) | 4.2 (0.3) | 15/15 |
| NBIPOPaCMA loshchilov | 3.8 (2) | 6.8 (7) | 37 (37) | 42 (37) | 43 (36) | 43 (36) | 43 (36) | 15/15 |
| NIPOPaCMA loshchilov | 5.0 (3) | 3.9 (3) | 13 (13) | 43 (14) | 43 (14) | 43 (15) | 43 (15) | 15/15 |
| PSO-BFGS voglis | 14 (16) | 4.8 (4) | 9.0 (7) | 8.9 (7) | 8.9 (7) | 8.8 (7) | 8.8 (7) | 15/15 |
| SNES schaul | 4.3 (4) | 10 (9) | 47 (51) | 47 (51) | 46 (50) | 46 (50) | 46 (50) | 15/15 |
| xNES schaul | 3.0 (3) | 11 (11) | 69 (98) | 69 (98) | 69 (97) | 68 (96) | 68 (96) | 15/15 |
| xNESas schaul | 11 (23) | 7.1 (7) | 66 (59) | 65 (59) | 65 (58) | 65 (58) | 64 (57) | 15/15 |
| Δ fopt f4, 3-D |
1e1 40 |
1e0 808 |
1e-1 866 |
1e-2 921 |
1e-3 952 |
1e-5 1015 |
1e-7 1044 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 7.2 (4) | 81 (95) | 218 (147) | 205 (138) | 199 (134) | 187 (126) | 182 (122) | 15/15 |
| BIPOPaCMA loshchilov | 4.1 (3) | 183 (415) | 2702 (3647) | 3755 (3378) | 3633 (6248) | 3408 (4543) | 3313 (4311) | 8/15 |
| BIPOPsaACM loshchilov | 6.0 (4) | 47 (57) | 3273 (4207) | 3201 (2503) | 3097 (4313) | 2905 (3525) | 2825 (3492) | 9/15 |
| CMAES posik | 8.4 (13) | 19 (17) | 134 (118) | 126 (158) | 122 (109) | 114 (112) | 111 (109) | 11/15 |
| CMA brockhoff | 7.2 (5) | 390 (657) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAa brockhoff | 9.2 (14) | 621 (875) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAm brockhoff | 6.6 (11) | 538 (835) | 4728 (4391) | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAma brockhoff | 6.7 (12) | 788 (1013) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAmah brockhoff | 10 (13) | 1039 (969) | 8694 (1e4) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMAmh brockhoff | 15 (11) | 653 (997) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DBRCGA chuang | 9.0 (5) | 3.1 (2) | 5.9 (4) | 5.8 (3) | 5.7 (3) | 5.6 (3) | 5.7 (3) | 15/15 |
| DE-AUTO voglis | 19 (20) | 6.1 (5) | 16 (19) | 15 (17) | 14 (17) | 13 (16) | 13 (15) | 15/15 |
| DE-BFGS voglis | 13 (10) | 1.6 (0.7) | 5.6 (9) | 5.3 (9) | 5.2 (8) | 4.9 (8) | 4.8 (8) | 15/15 |
| DE-ROLL voglis | 5.7 (4) | 3.1 (2) | 6.1 (5) | 5.8 (5) | 5.6 (4) | 5.3 (4) | 5.2 (4) | 15/15 |
| DE-SIMPLEX voglis | 24 (17) | 5.3 (7) | 9.0 (7) | 8.5 (7) | 8.2 (7) | 7.7 (6) | 7.6 (6) | 15/15 |
| DEAE posik | 12 (8) | 6.9 (8) | 18 (12) | 18 (12) | 17 (11) | 16 (11) | 16 (10) | 15/15 |
| DE posik | 5.8 (2) | 1.5 (2) | 2.9 (2) | 2.9 (2) | 2.9 (2) | 3.0 (2) | 3.1 (2) | 15/15 |
| DEb posik | 5.8 (2) | 1.5 (2) | 2.9 (2) | 2.9 (2) | 2.9 (2) | 3.0 (2) | 3.1 (2) | 15/15 |
| DEctpb posik | 6.8 (3) | 1.6 (0.6) | 2.0 (2) | 2.2 (2) | 2.4 (2) | 2.6 (2) | 2.8 (2) | 15/15 |
| IPOPsaACM loshchilov | 8.6 (7) | 240 (357) | 1.6e4 (2e4) | 1.5e4 (1e4) | 1.5e4 (2e4) | 1.4e4 (1e4) | 1.3e4 (1e4) | 3/15 |
| JADE posik | 4.5 (2) | 1.7 (0.4) | 2.2 (2) | 2.3 (2) | 2.3 (2) | 2.5 (2) | 2.6 (2) | 15/15 |
| JADEb posik | 4.1 (2) | 2.9 (3) | 8.4 (9) | 8.0 (8) | 7.8 (8) | 7.5 (7) | 7.5 (7) | 15/15 |
| JADEctpb posik | 4.5 (2) | 1.7 (0.4) | 2.2 (2) | 2.3 (2) | 2.3 (2) | 2.5 (2) | 2.6 (2) | 15/15 |
| MVDE melo | 13 (4) | 2.1 (0.4) | 180 (577) | 170 (543) | 165 (525) | 155 (493) | 151 (479) | 13/15 |
| NBIPOPaCMA loshchilov | 10 (17) | 29 (27) | 243 (391) | 229 (367) | 221 (356) | 208 (333) | 202 (324) | 15/15 |
| NIPOPaCMA loshchilov | 3.9 (2) | 254 (377) | 1.1e4 (1e4) | 1.4e4 (2e4) | 1.3e4 (1e4) | 1.3e4 (2e4) | 1.2e4 (2e4) | 3/15 |
| PSO-BFGS voglis | 28 (31) | 11 (11) | 49 (49) | 46 (47) | 44 (45) | 42 (42) | 41 (41) | 15/15 |
| SNES schaul | 14 (38) | 28 (32) | 140 (133) | 132 (125) | 128 (121) | 120 (113) | 117 (110) | 14/15 |
| xNES schaul | 6.1 (4) | 37 (50) | 285 (276) | 268 (160) | 259 (324) | 244 (298) | 237 (255) | 9/15 |
| xNESas schaul | 5.0 (3) | 31 (31) | 136 (208) | 128 (196) | 124 (190) | 116 (178) | 113 (173) | 14/15 |
| Δ fopt f5, 3-D |
1e1 7.0 |
1e0 7.0 |
1e-1 7.0 |
1e-2 7.0 |
1e-3 7.0 |
1e-5 7.0 |
1e-7 7.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.9 (3) | 11 (2) | 12 (2) | 12 (3) | 12 (3) | 12 (3) | 12 (3) | 15/15 |
| BIPOPaCMA loshchilov | 3.2 (2) | 4.9 (2) | 5.0 (2) | 5.0 (2) | 5.0 (2) | 5.0 (2) | 5.0 (2) | 15/15 |
| BIPOPsaACM loshchilov | 4.0 (3) | 5.8 (3) | 6.0 (3) | 6.0 (3) | 6.0 (3) | 6.0 (3) | 6.0 (3) | 15/15 |
| CMAES posik | 3.5 (2) | 5.6 (3) | 5.8 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 15/15 |
| CMA brockhoff | 2.7 (2) | 4.2 (3) | 4.7 (2) | 4.7 (2) | 4.7 (2) | 4.7 (2) | 4.7 (2) | 15/15 |
| CMAa brockhoff | 4.7 (2) | 6.3 (3) | 6.5 (2) | 6.5 (2) | 6.5 (2) | 6.5 (2) | 6.5 (2) | 15/15 |
| CMAm brockhoff | 2.8 (2) | 5.0 (2) | 5.2 (2) | 5.3 (2) | 5.3 (2) | 5.3 (2) | 5.3 (2) | 15/15 |
| CMAma brockhoff | 3.1 (1) | 4.3 (2) | 4.5 (2) | 4.5 (2) | 4.5 (2) | 4.5 (2) | 4.5 (2) | 15/15 |
| CMAmah brockhoff | 2.3 (1) | 3.9 (2) | 4.1 (2) | 4.1 (2) | 4.1 (2) | 4.1 (2) | 4.1 (2) | 15/15 |
| CMAmh brockhoff | 2.2 (1) | 3.6 (1) | 4.0 (1) | 4.1 (1) | 4.1 (1) | 4.1 (1) | 4.1 (1) | 15/15 |
| DBRCGA chuang | 5.2 (4) | 16 (9) | 17 (9) | 18 (8) | 18 (8) | 18 (8) | 18 (8) | 15/15 |
| DE-AUTO voglis | 5.4 (3) | 8.7 (0.4) | 8.7 (0.4) | 8.7 (0.4) | 8.7 (0.4) | 8.7 (0.4) | 8.7 (0.4) | 15/15 |
| DE-BFGS voglis | 4.8 (2) | 8.2 (2) | 8.4 (2) | 8.4 (2) | 8.4 (2) | 8.4 (2) | 8.4 (2) | 15/15 |
| DE-ROLL voglis | 4.8 (2) | 7.9 (2) | 8.3 (0.6) | 8.3 (0.6) | 8.3 (0.6) | 8.3 (0.6) | 8.3 (0.6) | 15/15 |
| DE-SIMPLEX voglis | 3.6 (2) | 16 (7) | 23 (9) | 31 (14) | 43 (20) | 82 (51) | 91 (50) | 15/15 |
| DEAE posik | 4.5 (3) | 8.6 (3) | 9.1 (4) | 9.1 (4) | 9.1 (4) | 9.1 (4) | 9.1 (4) | 15/15 |
| DE posik | 3.9 (2) | 7.7 (5) | 8.6 (4) | 8.6 (4) | 8.6 (4) | 8.6 (4) | 8.6 (4) | 15/15 |
| DEb posik | 3.9 (2) | 7.7 (5) | 8.6 (4) | 8.6 (4) | 8.6 (4) | 8.6 (4) | 8.6 (4) | 15/15 |
| DEctpb posik | 4.8 (3) | 11 (4) | 13 (5) | 13 (5) | 13 (5) | 13 (5) | 13 (5) | 15/15 |
| IPOPsaACM loshchilov | 3.8 (1) | 5.5 (3) | 5.8 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 5.9 (3) | 15/15 |
| JADE posik | 5.7 (3) | 14 (9) | 15 (10) | 16 (10) | 16 (10) | 16 (10) | 16 (10) | 15/15 |
| JADEb posik | 4.1 (2) | 8.4 (5) | 9.3 (5) | 9.5 (6) | 9.5 (6) | 9.5 (6) | 9.5 (6) | 15/15 |
| JADEctpb posik | 5.7 (3) | 14 (9) | 15 (10) | 16 (10) | 16 (10) | 16 (10) | 16 (10) | 15/15 |
| MVDE melo | 17 (11) | 48 (13) | 57 (17) | 59 (17) | 59 (17) | 59 (17) | 59 (17) | 15/15 |
| NBIPOPaCMA loshchilov | 3.3 (2) | 5.8 (3) | 6.1 (3) | 6.2 (3) | 6.2 (3) | 6.2 (3) | 6.2 (3) | 15/15 |
| NIPOPaCMA loshchilov | 3.7 (2) | 5.5 (3) | 6.0 (3) | 6.0 (3) | 6.0 (3) | 6.0 (3) | 6.0 (3) | 15/15 |
| PSO-BFGS voglis | 7.3 (3) | 10 (0.6) | 10 (0.6) | 10 (0.6) | 10 (0.6) | 10 (0.6) | 10 (0.6) | 15/15 |
| SNES schaul | 6.5 (4) | 11 (4) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 15/15 |
| xNES schaul | 6.7 (5) | 11 (6) | 12 (7) | 12 (7) | 12 (7) | 12 (7) | 12 (7) | 15/15 |
| xNESas schaul | 5.4 (3) | 10 (5) | 10 (5) | 10 (5) | 10 (5) | 10 (5) | 10 (5) | 15/15 |
| Δ fopt f6, 3-D |
1e1 34 |
1e0 56 |
1e-1 90 |
1e-2 117 |
1e-3 149 |
1e-5 215 |
1e-7 265 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.4 (2) | 5.3 (2) | 5.7 (1) | 6.4 (1) | 6.6 (2) | 6.6 (1) | 7.2 (2) | 15/15 |
| BIPOPaCMA loshchilov | 2.8 (2) | 2.8 (1) | 2.8 (1) | 2.8 (0.8) | 2.7 (0.8) | 2.7 (0.4) | 2.8 (0.5) | 15/15 |
| BIPOPsaACM loshchilov | 2.5 (1) | 3.3 (2) | 2.9 (2) | 3.4 (2) | 3.1 (2) | 3.1 (1) | 3.2 (1) | 15/15 |
| CMAES posik | 2.2 (2) | 3.1 (2) | 3.1 (1) | 3.2 (0.8) | 3.3 (0.6) | 3.1 (0.6) | 3.2 (0.5) | 15/15 |
| CMA brockhoff | 2.2 (2) | 3.1 (1) | 3.0 (1) | 3.1 (0.7) | 3.0 (0.4) | 2.9 (0.4) | 2.9 (0.4) | 15/15 |
| CMAa brockhoff | 2.1 (2) | 3.0 (1.0) | 2.9 (0.5) | 3.0 (0.6) | 3.0 (0.7) | 2.8 (0.7) | 3.0 (0.5) | 15/15 |
| CMAm brockhoff | 2.1 (2) | 3.1 (2) | 3.1 (1) | 3.1 (1) | 3.1 (1) | 3.1 (0.6) | 3.3 (0.7) | 15/15 |
| CMAma brockhoff | 2.9 (2) | 3.1 (1.0) | 2.8 (0.9) | 2.9 (0.6) | 2.9 (0.6) | 2.9 (0.6) | 3.1 (0.4) | 15/15 |
| CMAmah brockhoff | 2.1 (2) | 2.8 (1) | 2.6 (2) | 2.5 (0.9) | 2.4 (0.8) | 2.2 (0.6) | 2.3 (0.4) | 15/15 |
| CMAmh brockhoff | 2.0 (2) | 2.6 (2) | 2.4 (0.9) | 2.5 (0.8) | 2.6 (0.6) | 2.3 (0.5) | 2.4 (0.5) | 15/15 |
| DBRCGA chuang | 5.0 (3) | 9.5 (5) | 10 (3) | 11 (4) | 11 (3) | 10 (2) | 10 (3) | 15/15 |
| DE-AUTO voglis | 2.4 (1) | 2.2 (0.7) | 1.6 (0.4) | 1.5 (0.5) | 1.3 (0.4) | 1.2 (0.5) | 1.5 (0.9) | 15/15 |
| DE-BFGS voglis | 2.7 (2) | 2.7 (0.8) | 2.2 (0.8) | 2.0 (0.8) | 1.7 (0.6) | 1.6 (0.8) | 2.1 (2) | 15/15 |
| DE-ROLL voglis | 27 (30) | 28 (37) | 25 (24) | 32 (40) | 28 (31) | 35 (59) | 51 (97) | 15/15 |
| DE-SIMPLEX voglis | 3.2 (2) | 2.8 (2) | 2.4 (1) | 2.0 (0.9) | 1.8 (0.9) | 1.6 (0.7) | 1.5 (0.6) | 15/15 |
| DEAE posik | 3.8 (2) | 5.8 (2) | 5.9 (2) | 6.3 (2) | 6.7 (1) | 6.7 (0.7) | 7.5 (2) | 15/15 |
| DE posik | 3.8 (3) | 7.3 (3) | 7.7 (2) | 8.6 (3) | 8.7 (2) | 8.9 (3) | 10 (4) | 15/15 |
| DEb posik | 3.8 (3) | 7.3 (3) | 7.7 (2) | 8.6 (3) | 8.7 (2) | 8.9 (3) | 10 (4) | 15/15 |
| DEctpb posik | 5.4 (3) | 7.8 (3) | 8.2 (3) | 8.9 (3) | 8.8 (3) | 9.2 (3) | 10 (3) | 15/15 |
| IPOPsaACM loshchilov | 2.8 (2) | 3.3 (1) | 2.9 (1) | 3.4 (2) | 3.4 (2) | 3.2 (2) | 3.6 (2) | 15/15 |
| JADE posik | 2.5 (1) | 4.7 (2) | 5.0 (1) | 5.4 (0.9) | 5.4 (1) | 5.5 (0.9) | 5.9 (0.9) | 15/15 |
| JADEb posik | 2.3 (2) | 3.6 (1) | 4.0 (1) | 4.5 (1) | 4.7 (0.9) | 4.9 (1) | 5.1 (1) | 15/15 |
| JADEctpb posik | 2.5 (1) | 4.7 (2) | 5.0 (1) | 5.4 (0.9) | 5.4 (1) | 5.5 (0.9) | 5.9 (0.9) | 15/15 |
| MVDE melo | 8.1 (4) | 14 (5) | 19 (6) | 24 (8) | 27 (8) | 35 (9) | 40 (10) | 15/15 |
| NBIPOPaCMA loshchilov | 2.3 (2) | 3.3 (2) | 3.0 (0.9) | 2.9 (0.8) | 2.9 (0.6) | 2.8 (0.4) | 2.9 (0.5) | 15/15 |
| NIPOPaCMA loshchilov | 2.9 (2) | 3.4 (1) | 3.0 (0.7) | 3.1 (0.6) | 3.0 (0.4) | 2.8 (0.4) | 2.9 (0.4) | 15/15 |
| PSO-BFGS voglis | 2.8 (1) | 2.8 (0.7) | 2.0 (0.4) | 1.8 (0.6) | 1.6 (0.5) | 1.5 (0.7) | 2.7 (1) | 15/15 |
| SNES schaul | 1.3 (1) | 2.7 (1) | 3.0 (0.8) | 3.3 (1) | 3.6 (1) | 5.1 (2) | 24 (3) | 15/15 |
| xNES schaul | 2.5 (3) | 3.3 (2) | 3.0 (1.0) | 3.8 (2) | 4.1 (1) | 4.3 (0.8) | 4.4 (0.6) | 15/15 |
| xNESas schaul | 2.4 (1) | 2.9 (1) | 3.1 (1) | 3.3 (0.7) | 3.2 (0.7) | 3.6 (0.7) | 3.8 (0.7) | 15/15 |
| Δ fopt f7, 3-D |
1e1 11 |
1e0 65 |
1e-1 342 |
1e-2 464 |
1e-3 482 |
1e-5 482 |
1e-7 535 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.9 (4) | 2.6 (1) | 5.6 (2) | 4.8 (1) | 4.8 (2) | 4.8 (2) | 4.7 (4) | 15/15 |
| BIPOPaCMA loshchilov | 3.3 (2) | 1.7 (1) | 0.74 (0.4) | 0.80 (0.4) | 0.85 (0.4) | 0.85 (0.4) | 0.89 (0.5) | 15/15 |
| BIPOPsaACM loshchilov | 3.3 (2) | 3.9 (5) | 1.4 (1) | 1.4 (1.0) | 1.5 (1) | 1.5 (1) | 1.4 (0.9) | 15/15 |
| CMAES posik | 3.3 (2) | 2.3 (1) | 1.0 (0.6) | 1.1 (1) | 1.5 (2) | 1.5 (2) | 1.6 (1) | 15/15 |
| CMA brockhoff | 2.7 (2) | 1.8 (1) | 1.2 (0.7) | 1.0 (0.5) | 1.0 (0.5) | 1.0 (0.5) | 1.0 (0.5) | 15/15 |
| CMAa brockhoff | 2.7 (1) | 1.6 (1) | 1.0 (0.5) | 0.95 (0.5) | 1.00 (0.4) | 1.00 (0.4) | 1.00 (0.3) | 15/15 |
| CMAm brockhoff | 3.8 (4) | 2.5 (2) | 1.4 (0.9) | 1.2 (0.6) | 1.4 (0.7) | 1.4 (0.7) | 1.4 (0.7) | 15/15 |
| CMAma brockhoff | 3.9 (4) | 1.7 (1) | 0.87 (0.7) | 0.78 (0.6) | 0.82 (0.5) | 0.82 (0.5) | 0.79 (0.5) | 15/15 |
| CMAmah brockhoff | 7.8 (3) | 3.3 (4) | 1.3 (2) | 1.2 (1) | 1.4 (1) | 1.4 (1) | 1.3 (1.0) | 15/15 |
| CMAmh brockhoff | 2.8 (3) | 2.9 (3) | 2.1 (1) | 1.8 (1.0) | 1.8 (0.9) | 1.8 (0.9) | 1.7 (0.9) | 15/15 |
| DBRCGA chuang | 5.7 (8) | 4.1 (3) | 2.0 (0.8) | 3.2 (4) | 3.6 (3) | 3.6 (3) | 3.8 (3) | 15/15 |
| DE-AUTO voglis | 3.2 (3) | 13 (17) | 6.0 (4) | 6.4 (5) | 7.4 (6) | 7.4 (6) | 6.7 (6) | 15/15 |
| DE-BFGS voglis | 5.5 (9) | 8.9 (22) | 2.2 (4) | 2.0 (3) | 2.2 (3) | 2.2 (3) | 11 (9) | 15/15 |
| DE-ROLL voglis | 4.6 (3) | 10 (9) | 4.6 (3) | 4.6 (3) | 5.3 (2) | 5.3 (2) | 7.3 (5) | 15/15 |
| DE-SIMPLEX voglis | 4.3 (4) | 4.3 (3) | 2.2 (0.7) | 1.8 (0.6) | 2.0 (0.6) | 2.0 (0.6) | 1.8 (0.5) | 15/15 |
| DEAE posik | 5.5 (5) | 2.5 (1) | 0.91 (0.4) | 0.97 (0.3) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.3) | 15/15 |
| DE posik | 3.6 (4) | 3.4 (2) | 1.4 (0.9) | 25 (1) | 24 (1) | 24 (1) | 22 (1) | 14/15 |
| DEb posik | 3.6 (4) | 3.4 (2) | 1.4 (0.9) | 25 (1) | 24 (1) | 24 (1) | 22 (1) | 14/15 |
| DEctpb posik | 2.9 (3) | 3.4 (3) | 1.6 (0.9) | 1.8 (0.9) | 2.0 (1.0) | 2.0 (1.0) | 2.2 (1.0) | 15/15 |
| IPOPsaACM loshchilov | 2.7 (2) | 2.3 (3) | 0.89 (0.9) | 0.94 (1) | 1.1 (1.0) | 1.1 (1.0) | 1.1 (0.8) | 15/15 |
| JADE posik | 3.0 (2) | 2.0 (0.8) | 0.90 (0.3) | 1.1 (0.3) | 1.3 (0.4) | 1.3 (0.4) | 1.3 (0.3) | 15/15 |
| JADEb posik | 3.3 (4) | 1.8 (0.8) | 32 (0.4) | 81 (162) | 79 (156) | 79 (156) | 71 (140) | 12/15 |
| JADEctpb posik | 3.0 (2) | 2.0 (0.8) | 0.90 (0.3) | 1.1 (0.3) | 1.3 (0.4) | 1.3 (0.4) | 1.3 (0.3) | 15/15 |
| MVDE melo | 6.1 (5) | 5.2 (3) | 2.6 (1) | 3.8 (2) | 4.6 (2) | 4.6 (2) | 5.0 (1) | 15/15 |
| NBIPOPaCMA loshchilov | 3.9 (5) | 2.9 (2) | 0.88 (0.7) | 0.83 (0.7) | 0.92 (0.7) | 0.92 (0.7) | 1.0 (0.5) | 15/15 |
| NIPOPaCMA loshchilov | 2.9 (2) | 1.9 (1) | 0.99 (1) | 0.85 (1.0) | 0.87 (0.9) | 0.87 (0.9) | 1.0 (0.8) | 15/15 |
| PSO-BFGS voglis | 37 (51) | 110 (151) | 160 (258) | 130 (190) | 147 (192) | 147 (192) | 319 (642) | 6/15 |
| SNES schaul | 3.2 (2) | 18 (24) | 24 (34) | 22 (25) | 42 (38) | 42 (38) | 46 (66) | 15/15 |
| xNES schaul | 3.4 (3) | 14 (24) | 5.8 (9) | 4.5 (7) | 4.4 (6) | 4.4 (6) | 4.0 (6) | 15/15 |
| xNESas schaul | 3.0 (2) | 14 (46) | 8.1 (9) | 8.5 (13) | 9.1 (13) | 9.1 (13) | 8.4 (11) | 15/15 |
| Δ fopt f8, 3-D |
1e1 27 |
1e0 45 |
1e-1 152 |
1e-2 179 |
1e-3 188 |
1e-5 198 |
1e-7 208 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.9 (3) | 10 (4) | 18 (4) | 33 (9) | 54 (11) | 95 (16) | 129 (28) | 15/15 |
| BIPOPaCMA loshchilov | 3.0 (2) | 6.9 (5) | 3.7 (1) | 3.8 (2) | 4.0 (2) | 4.3 (1) | 4.5 (1) | 15/15 |
| BIPOPsaACM loshchilov | 4.1 (1) | 6.3 (7) | 2.5 (2) | 2.3 (2) | 2.4 (2) | 2.7 (2) | 2.7 (2) | 15/15 |
| CMAES posik | 3.7 (2) | 6.4 (5) | 3.8 (3) | 4.2 (2) | 4.4 (2) | 4.9 (2) | 5.2 (2) | 15/15 |
| CMA brockhoff | 3.5 (2) | 8.3 (13) | 4.7 (4) | 4.8 (3) | 4.9 (3) | 5.3 (3) | 5.5 (3) | 15/15 |
| CMAa brockhoff | 3.0 (2) | 6.7 (5) | 3.6 (2) | 3.8 (2) | 4.1 (2) | 4.4 (1) | 4.6 (1) | 15/15 |
| CMAm brockhoff | 2.9 (2) | 6.1 (5) | 3.7 (1) | 4.0 (1) | 4.2 (1) | 4.6 (1) | 4.8 (1) | 15/15 |
| CMAma brockhoff | 3.1 (2) | 7.3 (9) | 3.5 (3) | 3.6 (3) | 3.9 (3) | 4.1 (2) | 4.3 (2) | 15/15 |
| CMAmah brockhoff | 3.6 (3) | 11 (10) | 5.4 (3) | 5.6 (3) | 5.8 (2) | 6.0 (2) | 6.0 (2) | 15/15 |
| CMAmh brockhoff | 5.4 (11) | 15 (23) | 6.8 (7) | 6.7 (6) | 6.8 (6) | 7.0 (6) | 7.0 (5) | 15/15 |
| DBRCGA chuang | 7.2 (4) | 12 (8) | 8.5 (2) | 12 (6) | 16 (8) | 21 (10) | 25 (10) | 15/15 |
| DE-AUTO voglis | 2.4 (0.2) | 8.7 (2) | 2.7 (0.7) | 2.4 (0.6) | 2.4 (0.5) | 2.3 (0.5) | 2.2 (0.5) | 15/15 |
| DE-BFGS voglis | 3.0 (0.7) | 3.3 (2) | 1.2 (0.5) | 1.1 (0.5) | 1.1 (0.5) | 1.1 (0.4) | 1.1 (0.4) | 15/15 |
| DE-ROLL voglis | 3.7 (0.8) | 28 (48) | 46 (46) | 90 (67) | 120 (66) | 174 (57) | 646 (583) | 8/15 |
| DE-SIMPLEX voglis | 2.1 (0.3) | 3.5 (3) | 1.4 (0.8) | 1.4 (0.6) | 1.4 (0.6) | 1.4 (0.5) | 1.5 (0.5) | 15/15 |
| DEAE posik | 7.0 (4) | 12 (5) | 6.2 (2) | 6.4 (2) | 6.8 (2) | 7.5 (2) | 8.1 (2) | 15/15 |
| DE posik | 7.8 (5) | 12 (11) | 7.6 (4) | 10 (4) | 11 (4) | 14 (4) | 18 (4) | 15/15 |
| DEb posik | 7.8 (5) | 12 (11) | 7.6 (4) | 10 (4) | 11 (4) | 14 (4) | 18 (4) | 15/15 |
| DEctpb posik | 7.1 (3) | 12 (6) | 8.6 (4) | 11 (5) | 13 (5) | 17 (5) | 21 (5) | 15/15 |
| IPOPsaACM loshchilov | 3.3 (2) | 5.8 (4) | 2.5 (1) | 2.4 (1) | 2.4 (1) | 2.4 (1) | 2.4 (1) | 15/15 |
| JADE posik | 5.6 (2) | 8.6 (4) | 6.8 (3) | 8.2 (2) | 9.1 (3) | 10 (3) | 11 (3) | 15/15 |
| JADEb posik | 4.1 (1) | 13 (18) | 6.7 (5) | 6.8 (5) | 7.0 (4) | 7.9 (4) | 8.8 (3) | 15/15 |
| JADEctpb posik | 5.6 (2) | 8.6 (4) | 6.8 (3) | 8.2 (2) | 9.1 (3) | 10 (3) | 11 (3) | 15/15 |
| MVDE melo | 11 (5) | 24 (7) | 18 (10) | 31 (12) | 43 (14) | 65 (10) | 87 (16) | 15/15 |
| NBIPOPaCMA loshchilov | 3.7 (3) | 7.3 (5) | 3.8 (2) | 3.8 (1) | 3.9 (2) | 4.3 (1) | 4.5 (1) | 15/15 |
| NIPOPaCMA loshchilov | 3.1 (2) | 8.6 (10) | 4.4 (3) | 4.4 (2) | 4.5 (2) | 4.8 (2) | 5.0 (2) | 15/15 |
| PSO-BFGS voglis | 3.4 (2) | 4.7 (2) | 1.6 (0.6) | 1.5 (0.5) | 1.5 (0.5) | 1.4 (0.5) | 1.4 (0.4) | 15/15 |
| SNES schaul | 2.8 (1) | 210 (448) | 157 (139) | 318 (124) | 517 (118) | 931 (123) | 1493 (751) | 2/15 |
| xNES schaul | 2.8 (2) | 5.1 (4) | 5.8 (7) | 6.9 (8) | 11 (12) | 12 (16) | 13 (18) | 15/15 |
| xNESas schaul | 2.5 (1) | 7.7 (8) | 5.9 (4) | 6.4 (4) | 6.9 (6) | 7.4 (6) | 7.7 (6) | 15/15 |
| Δ fopt f9, 3-D |
1e1 21 |
1e0 65 |
1e-1 127 |
1e-2 149 |
1e-3 159 |
1e-5 169 |
1e-7 178 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.6 (4) | 6.2 (4) | 15 (10) | 36 (25) | 60 (39) | 111 (64) | 154 (97) | 15/15 |
| BIPOPaCMA loshchilov | 3.5 (2) | 3.3 (2) | 3.4 (1) | 3.8 (1) | 3.9 (1) | 4.2 (0.9) | 4.6 (0.9) | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (0.8) | 4.4 (3) | 3.1 (2) | 3.0 (2) | 3.0 (2) | 3.0 (1) | 3.0 (1) | 15/15 |
| CMAES posik | 3.4 (2) | 7.3 (6) | 6.0 (4) | 6.2 (4) | 6.3 (4) | 6.7 (3) | 7.0 (3) | 15/15 |
| CMA brockhoff | 4.0 (3) | 6.0 (6) | 5.3 (4) | 5.6 (3) | 5.6 (3) | 6.0 (3) | 6.3 (3) | 15/15 |
| CMAa brockhoff | 3.5 (1) | 4.1 (2) | 3.9 (2) | 3.9 (1) | 4.1 (1) | 4.4 (1) | 4.8 (1) | 15/15 |
| CMAm brockhoff | 4.0 (1) | 4.6 (2) | 4.8 (1) | 5.2 (1.0) | 5.4 (1) | 5.7 (1) | 5.9 (1) | 15/15 |
| CMAma brockhoff | 2.9 (2) | 4.6 (3) | 4.3 (2) | 4.6 (2) | 4.7 (1) | 5.0 (1) | 5.2 (1) | 15/15 |
| CMAmah brockhoff | 2.6 (1) | 3.6 (4) | 4.2 (2) | 4.5 (2) | 4.7 (2) | 5.0 (2) | 5.2 (2) | 15/15 |
| CMAmh brockhoff | 5.1 (2) | 7.4 (10) | 6.7 (5) | 6.7 (5) | 6.8 (5) | 7.2 (4) | 7.2 (4) | 15/15 |
| DBRCGA chuang | 10 (4) | 12 (9) | 16 (18) | 21 (20) | 25 (23) | 34 (23) | 38 (22) | 15/15 |
| DE-AUTO voglis | 3.0 (0.5) | 1.9 (1) | 1.2 (0.7) | 1.1 (0.6) | 1.1 (0.5) | 1.1 (0.5) | 1.1 (0.5) | 15/15 |
| DE-BFGS voglis | 3.7 (1) | 2.2 (1.0) | 1.4 (0.6) | 1.3 (0.5) | 1.3 (0.4) | 1.3 (0.4) | 1.2 (0.4) | 15/15 |
| DE-ROLL voglis | 5.2 (2) | 41 (34) | 52 (63) | 110 (51) | 144 (70) | 213 (64) | 1142 (1692) | 4/15 |
| DE-SIMPLEX voglis | 3.1 (0.4) | 2.3 (2) | 1.6 (0.8) | 1.5 (0.7) | 1.5 (0.7) | 1.6 (0.6) | 1.7 (0.6) | 15/15 |
| DEAE posik | 7.3 (6) | 8.5 (6) | 7.5 (4) | 8.0 (4) | 8.2 (4) | 9.2 (3) | 10 (3) | 15/15 |
| DE posik | 8.8 (7) | 9.3 (9) | 8.6 (7) | 10 (7) | 12 (5) | 15 (4) | 20 (4) | 15/15 |
| DEb posik | 8.8 (7) | 9.3 (9) | 8.6 (7) | 10 (7) | 12 (5) | 15 (4) | 20 (4) | 15/15 |
| DEctpb posik | 8.5 (5) | 10 (3) | 11 (7) | 13 (6) | 15 (6) | 19 (7) | 23 (8) | 15/15 |
| IPOPsaACM loshchilov | 3.9 (2) | 3.1 (2) | 2.6 (2) | 2.6 (1) | 2.6 (1) | 2.6 (1) | 2.7 (1) | 15/15 |
| JADE posik | 5.6 (3) | 6.8 (2) | 7.4 (2) | 8.9 (2) | 9.4 (2) | 11 (3) | 12 (2) | 15/15 |
| JADEb posik | 5.0 (2) | 5.8 (7) | 5.6 (4) | 6.3 (3) | 6.8 (3) | 7.8 (2) | 8.7 (2) | 15/15 |
| JADEctpb posik | 5.6 (3) | 6.8 (2) | 7.4 (2) | 8.9 (2) | 9.4 (2) | 11 (3) | 12 (2) | 15/15 |
| MVDE melo | 15 (11) | 14 (9) | 22 (15) | 37 (28) | 48 (32) | 71 (28) | 92 (28) | 15/15 |
| NBIPOPaCMA loshchilov | 3.5 (2) | 4.9 (5) | 4.5 (3) | 4.6 (3) | 4.7 (3) | 5.1 (2) | 5.3 (2) | 15/15 |
| NIPOPaCMA loshchilov | 3.1 (0.8) | 3.4 (2) | 3.8 (1) | 4.1 (1) | 4.2 (0.9) | 4.5 (0.8) | 4.7 (0.8) | 15/15 |
| PSO-BFGS voglis | 4.9 (1) | 2.5 (1) | 1.6 (0.6) | 1.5 (0.5) | 1.5 (0.5) | 1.4 (0.4) | 1.4 (0.4) | 15/15 |
| SNES schaul | 2.8 (1) | 4.9 (3) | 112 (71) | 312 (198) | 564 (341) | 1076 (658) | 2173 (2178) | 6/15 |
| xNES schaul | 3.2 (2) | 4.8 (2) | 4.6 (2) | 5.3 (2) | 5.7 (2) | 6.2 (3) | 6.6 (3) | 15/15 |
| xNESas schaul | 3.7 (2) | 6.7 (4) | 8.7 (9) | 9.1 (12) | 12 (23) | 13 (22) | 14 (21) | 15/15 |
| Δ fopt f10, 3-D |
1e1 114 |
1e0 152 |
1e-1 168 |
1e-2 180 |
1e-3 194 |
1e-5 218 |
1e-7 242 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 94 (148) | 499 (587) | 1011 (1206) | 1343 (1544) | 1793 (2024) | 2280 (2343) | 1.1e4 (2e4) | 9/15 |
| BIPOPaCMA loshchilov | 3.4 (2) | 3.6 (1) | 3.6 (0.8) | 3.6 (0.8) | 3.6 (0.8) | 3.7 (0.7) | 3.7 (0.6) | 15/15 |
| BIPOPsaACM loshchilov | 1.4 (0.3) | 1.3 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 15/15 |
| CMAES posik | 4.6 (3) | 4.7 (2) | 4.7 (1) | 4.8 (0.8) | 4.7 (0.7) | 4.6 (0.6) | 4.5 (0.5) | 15/15 |
| CMA brockhoff | 5.3 (2) | 4.8 (0.9) | 4.7 (0.4) | 4.7 (0.5) | 4.6 (0.3) | 4.5 (0.3) | 4.4 (0.3) | 15/15 |
| CMAa brockhoff | 3.5 (2) | 3.4 (0.6) | 3.3 (0.7) | 3.5 (0.5) | 3.5 (0.5) | 3.5 (0.6) | 3.6 (0.5) | 15/15 |
| CMAm brockhoff | 5.1 (3) | 4.9 (2) | 5.0 (0.8) | 4.9 (0.8) | 4.8 (0.7) | 4.6 (0.6) | 4.5 (0.5) | 15/15 |
| CMAma brockhoff | 3.7 (2) | 3.5 (1) | 3.6 (0.5) | 3.7 (0.4) | 3.6 (0.4) | 3.5 (0.3) | 3.5 (0.2) | 15/15 |
| CMAmah brockhoff | 4.3 (2) | 4.7 (2) | 4.8 (0.7) | 4.7 (0.7) | 4.5 (0.7) | 4.3 (0.6) | 4.2 (0.5) | 15/15 |
| CMAmh brockhoff | 6.2 (3) | 6.5 (0.9) | 6.5 (0.6) | 6.3 (0.5) | 6.0 (0.4) | 5.7 (0.4) | 5.4 (0.4) | 15/15 |
| DBRCGA chuang | 14 (23) | 67 (81) | 89 (186) | 117 (178) | 152 (176) | 227 (250) | 258 (230) | 15/15 |
| DE-AUTO voglis | 0.70 (0.1)↑0 | 0.54 (0.1)↑0 | 0.51 (0.1)↑0 | 0.50 (0.1)↑0 | 0.49 (0.0)↑0 | 0.47 (0.0)↑0 | 0.47 (0.1)↑0 | 15/15 |
| DE-BFGS voglis | 0.76 (0.1)↑1 | 0.60 (0.1)↑1 | 0.56 (0.1)↑1 | 0.55 (0.1)↑1 | 0.55 (0.1)↑1 | 0.54 (0.1)↑1 | 0.53 (0.1)↑0 | 15/15 |
| DE-ROLL voglis | 58 (59) | 100 (64) | 158 (67) | 176 (68) | 207 (89) | 263 (74) | 1345 (1976) | 4/15 |
| DE-SIMPLEX voglis | 1.4 (0.7) | 1.5 (1) | 1.4 (0.9) | 1.4 (0.8) | 1.4 (0.7) | 1.4 (0.7) | 1.3 (0.6) | 15/15 |
| DEAE posik | 3.1 (1) | 3.1 (0.7) | 3.5 (0.6) | 3.9 (0.8) | 4.1 (0.6) | 4.6 (0.5) | 5.0 (0.6) | 15/15 |
| DE posik | 9.4 (4) | 11 (3) | 13 (3) | 15 (2) | 17 (3) | 20 (3) | 22 (3) | 15/15 |
| DEb posik | 9.4 (4) | 11 (3) | 13 (3) | 15 (2) | 17 (3) | 20 (3) | 22 (3) | 15/15 |
| DEctpb posik | 11 (5) | 12 (3) | 14 (3) | 16 (4) | 18 (3) | 22 (4) | 25 (3) | 15/15 |
| IPOPsaACM loshchilov | 1.4 (0.3) | 1.3 (0.4) | 1.3 (0.4) | 1.3 (0.4) | 1.3 (0.3) | 1.3 (0.3) | 1.3 (0.2) | 15/15 |
| JADE posik | 5.2 (2) | 5.1 (2) | 5.5 (1) | 6.1 (1) | 6.3 (1) | 7.0 (0.9) | 7.2 (0.9) | 15/15 |
| JADEb posik | 5.5 (4) | 5.4 (3) | 6.3 (2) | 6.4 (2) | 6.7 (2) | 6.9 (2) | 7.1 (2) | 15/15 |
| JADEctpb posik | 5.2 (2) | 5.1 (2) | 5.5 (1) | 6.1 (1) | 6.3 (1) | 7.0 (0.9) | 7.2 (0.9) | 15/15 |
| MVDE melo | 33 (16) | 51 (20) | 63 (13) | 75 (21) | 86 (17) | 105 (24) | 122 (18) | 15/15 |
| NBIPOPaCMA loshchilov | 3.6 (1) | 3.3 (1) | 3.4 (1.0) | 3.3 (1.0) | 3.4 (0.8) | 3.5 (0.6) | 3.5 (0.5) | 15/15 |
| NIPOPaCMA loshchilov | 3.7 (2) | 3.6 (1.0) | 3.7 (0.4) | 3.6 (0.5) | 3.7 (0.5) | 3.7 (0.4) | 3.7 (0.3) | 15/15 |
| PSO-BFGS voglis | 0.69 (0.1)↑0 | 0.57 (0.1)↑0 | 0.54 (0.1)↑0 | 0.53 (0.1)↑0 | 0.53 (0.1)↑0 | 0.53 (0.1)↑0 | 0.57 (0.1)↑1 | 15/15 |
| SNES schaul | 356 (534) | 654 (683) | 2450 (3884) | 4897 (7858) | 6436 (8506) | ∞ | ∞3e5 | 0/15 |
| xNES schaul | 3.2 (3) | 4.7 (3) | 7.8 (4) | 12 (6) | 12 (6) | 13 (5) | 13 (5) | 15/15 |
| xNESas schaul | 3.8 (2) | 3.9 (2) | 4.3 (2) | 4.5 (2) | 4.5 (2) | 4.6 (2) | 4.7 (2) | 15/15 |
| Δ fopt f11, 3-D |
1e1 67 |
1e0 105 |
1e-1 227 |
1e-2 263 |
1e-3 277 |
1e-5 302 |
1e-7 327 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 115 (112) | 193 (170) | 180 (143) | 242 (144) | 282 (137) | 381 (167) | 489 (222) | 15/15 |
| BIPOPaCMA loshchilov | 5.2 (3) | 4.2 (2) | 2.4 (0.6) | 2.3 (0.4) | 2.4 (0.4) | 2.5 (0.4) | 2.5 (0.3) | 15/15 |
| BIPOPsaACM loshchilov | 2.3 (0.6) | 1.8 (0.3) | 0.91 (0.2) | 0.85 (0.1)↑1 | 0.84 (0.1)↑1 | 0.87 (0.1)↑1 | 0.90 (0.1) | 15/15 |
| CMAES posik | 9.2 (5) | 7.4 (2) | 3.9 (0.8) | 3.6 (0.7) | 3.6 (0.6) | 3.7 (0.4) | 3.7 (0.5) | 15/15 |
| CMA brockhoff | 8.7 (4) | 7.0 (2) | 3.8 (0.4) | 3.5 (0.4) | 3.6 (0.4) | 3.6 (0.4) | 3.6 (0.3) | 15/15 |
| CMAa brockhoff | 5.9 (3) | 5.2 (0.9) | 2.6 (0.3) | 2.5 (0.3) | 2.5 (0.3) | 2.6 (0.3) | 2.7 (0.3) | 15/15 |
| CMAm brockhoff | 9.3 (5) | 9.0 (1) | 4.4 (0.6) | 4.0 (0.5) | 3.9 (0.4) | 3.9 (0.4) | 3.8 (0.4) | 15/15 |
| CMAma brockhoff | 6.2 (3) | 5.4 (1) | 2.8 (0.5) | 2.6 (0.3) | 2.6 (0.3) | 2.6 (0.3) | 2.6 (0.3) | 15/15 |
| CMAmah brockhoff | 10 (3) | 8.2 (1) | 4.2 (0.3) | 3.8 (0.3) | 3.7 (0.4) | 3.6 (0.3) | 3.5 (0.3) | 15/15 |
| CMAmh brockhoff | 13 (8) | 12 (3) | 5.8 (1) | 5.1 (0.9) | 5.0 (0.8) | 4.8 (0.7) | 4.6 (0.7) | 15/15 |
| DBRCGA chuang | 7.4 (4) | 39 (60) | 43 (52) | 79 (133) | 93 (128) | 147 (199) | 257 (373) | 12/15 |
| DE-AUTO voglis | 1.1 (0.1) | 3.5 (0.1) | 1.6 (0.0) | 1.4 (0.0) | 1.4 (0.0) | 1.3 (0.0) | 1.6 (3) | 15/15 |
| DE-BFGS voglis | 1.1 (0.1) | 0.73 (0.1)↑0 | 0.37 (0.0)↑0 | 0.34 (0.0)↑0 | 0.34 (0.0)↑0 | 0.34 (0.0)↑0 | 0.44 (0.2)↑1 | 15/15 |
| DE-ROLL voglis | 73 (79) | 148 (123) | 116 (39) | 138 (58) | 157 (66) | 218 (67) | 1748 (1971) | 2/15 |
| DE-SIMPLEX voglis | 3.6 (3) | 3.1 (2) | 1.8 (0.8) | 1.6 (0.7) | 1.6 (0.6) | 1.5 (0.6) | 1.5 (0.6) | 15/15 |
| DEAE posik | 3.9 (2) | 3.8 (1) | 2.3 (0.2) | 2.5 (0.3) | 2.7 (0.3) | 3.2 (0.4) | 3.7 (0.6) | 15/15 |
| DE posik | 11 (6) | 13 (9) | 8.1 (5) | 8.9 (4) | 10 (4) | 13 (4) | 15 (5) | 15/15 |
| DEb posik | 11 (6) | 13 (9) | 8.1 (5) | 8.9 (4) | 10 (4) | 13 (4) | 15 (5) | 15/15 |
| DEctpb posik | 10 (8) | 13 (6) | 8.1 (4) | 10 (3) | 11 (4) | 14 (3) | 16 (4) | 15/15 |
| IPOPsaACM loshchilov | 2.2 (0.8) | 1.8 (0.3) | 0.91 (0.1) | 0.84 (0.1)↑0 | 0.85 (0.1)↑0 | 0.90 (0.1) | 0.92 (0.1) | 15/15 |
| JADE posik | 7.0 (3) | 6.4 (2) | 4.0 (1) | 4.1 (1) | 4.4 (0.9) | 5.0 (1.0) | 5.6 (0.9) | 15/15 |
| JADEb posik | 8.3 (8) | 8.3 (8) | 4.9 (5) | 4.7 (4) | 4.8 (4) | 5.2 (3) | 5.5 (3) | 15/15 |
| JADEctpb posik | 7.0 (3) | 6.4 (2) | 4.0 (1) | 4.1 (1) | 4.4 (0.9) | 5.0 (1.0) | 5.6 (0.9) | 15/15 |
| MVDE melo | 21 (15) | 35 (17) | 26 (12) | 38 (12) | 48 (13) | 67 (12) | 79 (15) | 15/15 |
| NBIPOPaCMA loshchilov | 6.2 (3) | 5.1 (1) | 2.7 (0.5) | 2.5 (0.4) | 2.6 (0.4) | 2.7 (0.3) | 2.8 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 5.6 (3) | 5.2 (2) | 2.7 (0.8) | 2.5 (0.6) | 2.5 (0.5) | 2.7 (0.6) | 2.8 (0.5) | 15/15 |
| PSO-BFGS voglis | 1.2 (0.3) | 0.85 (0.2) | 0.42 (0.1)↑0 | 0.38 (0.1)↑0 | 0.38 (0.1)↑0 | 0.38 (0.1)↑0 | 0.42 (0.1)↑0 | 15/15 |
| SNES schaul | 152 (214) | 2288 (2804) | 6040 (7356) | 1.6e4 (2e4) | ∞ | ∞ | ∞3e5 | 0/15 |
| xNES schaul | 4.4 (3) | 4.6 (4) | 2.5 (2) | 2.5 (2) | 2.7 (2) | 3.5 (2) | 4.6 (1) | 15/15 |
| xNESas schaul | 4.8 (3) | 6.6 (2) | 6.9 (2) | 6.5 (4) | 6.4 (4) | 6.2 (4) | 6.2 (3) | 15/15 |
| Δ fopt f12, 3-D |
1e1 65 |
1e0 168 |
1e-1 338 |
1e-2 401 |
1e-3 445 |
1e-5 696 |
1e-7 790 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 150 (98) | 1635 (3355) | 1935 (2488) | 3190 (3266) | 5410 (5404) | 1.0e4 (1e4) | 3.7e4 (3e4) | 2/15 |
| BIPOPaCMA loshchilov | 7.3 (6) | 5.5 (5) | 3.8 (3) | 3.7 (3) | 3.8 (3) | 3.0 (2) | 3.1 (2) | 15/15 |
| BIPOPsaACM loshchilov | 2.9 (2) | 2.5 (2) | 2.0 (2) | 4.1 (6) | 4.3 (6) | 5.2 (9) | 28 (74) | 15/15 |
| CMAES posik | 10 (11) | 7.2 (6) | 5.5 (4) | 5.4 (4) | 5.4 (4) | 4.7 (3) | 4.8 (3) | 15/15 |
| CMA brockhoff | 11 (18) | 9.1 (12) | 6.5 (7) | 6.3 (7) | 6.2 (7) | 4.8 (5) | 4.8 (5) | 15/15 |
| CMAa brockhoff | 10 (11) | 7.6 (8) | 5.1 (5) | 5.0 (5) | 5.0 (4) | 4.2 (3) | 4.3 (2) | 15/15 |
| CMAm brockhoff | 9.1 (11) | 9.3 (8) | 7.1 (5) | 6.9 (5) | 6.9 (5) | 5.4 (4) | 5.5 (4) | 15/15 |
| CMAma brockhoff | 7.9 (8) | 6.5 (6) | 4.7 (4) | 4.5 (4) | 4.5 (3) | 3.6 (3) | 3.6 (3) | 15/15 |
| CMAmah brockhoff | 10 (12) | 8.6 (8) | 6.0 (3) | 5.8 (4) | 5.8 (4) | 4.5 (3) | 4.4 (3) | 15/15 |
| CMAmh brockhoff | 16 (19) | 12 (14) | 9.0 (8) | 8.9 (7) | 8.5 (7) | 6.6 (5) | 6.6 (5) | 15/15 |
| DBRCGA chuang | 121 (157) | 182 (196) | 166 (163) | 184 (198) | 191 (177) | 169 (183) | 205 (173) | 13/15 |
| DE-AUTO voglis | 4.6 (8) | 2.4 (3) | 1.4 (1) | 1.5 (1) | 1.5 (1) | 1.2 (0.8) | 1.2 (0.8) | 15/15 |
| DE-BFGS voglis | 2.1 (2) | 1.1 (1) | 0.73 (0.6) | 0.75 (0.5) | 0.75 (0.5) | 0.59 (0.4) | 0.59 (0.4)↑1 | 15/15 |
| DE-ROLL voglis | 79 (31) | 55 (32) | 53 (45) | 66 (58) | 104 (89) | 136 (87) | 671 (922) | 2/15 |
| DE-SIMPLEX voglis | 2.5 (1) | 2.0 (2) | 1.4 (1) | 1.4 (1) | 1.4 (0.9) | 1.1 (0.7) | 1.1 (0.7) | 15/15 |
| DEAE posik | 14 (7) | 11 (13) | 7.7 (9) | 7.6 (9) | 7.6 (9) | 6.0 (6) | 6.0 (5) | 15/15 |
| DE posik | 42 (72) | 34 (44) | 26 (26) | 26 (23) | 26 (22) | 21 (16) | 22 (15) | 15/15 |
| DEb posik | 42 (72) | 34 (44) | 26 (26) | 26 (23) | 26 (22) | 21 (16) | 22 (15) | 15/15 |
| DEctpb posik | 22 (11) | 18 (10) | 16 (10) | 19 (16) | 21 (15) | 19 (13) | 20 (12) | 15/15 |
| IPOPsaACM loshchilov | 4.4 (4) | 3.1 (3) | 2.1 (3) | 2.2 (3) | 2.2 (3) | 1.8 (2) | 1.8 (2) | 15/15 |
| JADE posik | 11 (4) | 8.7 (6) | 6.1 (4) | 6.1 (3) | 6.2 (3) | 5.0 (2) | 5.0 (2) | 15/15 |
| JADEb posik | 9.1 (7) | 10 (8) | 7.5 (6) | 7.3 (6) | 7.4 (5) | 5.7 (4) | 5.7 (3) | 15/15 |
| JADEctpb posik | 11 (4) | 8.7 (6) | 6.1 (4) | 6.1 (3) | 6.2 (3) | 5.0 (2) | 5.0 (2) | 15/15 |
| MVDE melo | 75 (49) | 101 (92) | 97 (139) | 109 (119) | 118 (111) | 109 (85) | 116 (86) | 15/15 |
| NBIPOPaCMA loshchilov | 6.0 (3) | 5.3 (4) | 4.2 (4) | 4.3 (4) | 4.4 (4) | 3.3 (3) | 3.6 (4) | 15/15 |
| NIPOPaCMA loshchilov | 8.5 (7) | 6.0 (6) | 4.4 (3) | 4.3 (3) | 4.3 (3) | 3.4 (2) | 3.4 (2) | 15/15 |
| PSO-BFGS voglis | 1.8 (0.8) | 0.95 (0.6) | 0.57 (0.4)↑1 | 0.55 (0.3)↑1 | 0.57 (0.3)↑1 | 0.53 (0.3)↑1 | 0.66 (0.6) | 15/15 |
| SNES schaul | 20 (24) | 81 (65) | 221 (411) | 755 (556) | 2439 (2542) | 6447 (5391) | ∞3e5 | 0/15 |
| xNES schaul | 17 (37) | 19 (22) | 17 (46) | 16 (38) | 23 (43) | 18 (42) | 17 (38) | 15/15 |
| xNESas schaul | 17 (19) | 22 (37) | 33 (66) | 32 (64) | 30 (58) | 26 (40) | 35 (51) | 15/15 |
| Δ fopt f13, 3-D |
1e1 49 |
1e0 85 |
1e-1 108 |
1e-2 136 |
1e-3 215 |
1e-5 281 |
1e-7 365 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 11 (7) | 133 (141) | 1488 (2826) | 3314 (4242) | 4705 (4188) | 8.5e4 (9e4) | 4.0e5 (5e5) | 1/15 |
| BIPOPaCMA loshchilov | 3.1 (1) | 3.7 (1) | 3.9 (1) | 4.5 (2) | 3.3 (1) | 3.5 (0.7) | 3.4 (0.5) | 15/15 |
| BIPOPsaACM loshchilov | 2.1 (0.4) | 1.8 (0.5) | 1.8 (0.5) | 1.7 (0.5) | 1.3 (0.2) | 1.3 (0.3) | 1.2 (0.2) | 15/15 |
| CMAES posik | 3.5 (2) | 5.3 (3) | 6.0 (2) | 6.1 (1) | 4.3 (0.6) | 4.5 (0.7) | 4.5 (1) | 15/15 |
| CMA brockhoff | 3.1 (1) | 5.3 (3) | 5.2 (2) | 5.4 (2) | 4.0 (1.0) | 4.1 (0.9) | 4.3 (0.6) | 15/15 |
| CMAa brockhoff | 3.0 (2) | 3.4 (0.8) | 4.0 (0.6) | 4.0 (0.6) | 3.1 (0.7) | 3.5 (0.9) | 3.4 (0.7) | 15/15 |
| CMAm brockhoff | 4.2 (2) | 4.9 (3) | 6.4 (3) | 6.1 (2) | 4.5 (2) | 4.7 (1) | 5.0 (2) | 15/15 |
| CMAma brockhoff | 3.4 (2) | 4.3 (2) | 4.8 (2) | 4.7 (1) | 3.6 (0.8) | 3.8 (0.7) | 3.5 (0.5) | 15/15 |
| CMAmah brockhoff | 4.5 (6) | 5.0 (5) | 6.6 (4) | 7.1 (3) | 5.5 (2) | 6.7 (2) | 5.8 (1) | 15/15 |
| CMAmh brockhoff | 7.7 (9) | 8.6 (6) | 9.0 (5) | 10 (4) | 9.3 (4) | 8.1 (2) | 8.0 (4) | 15/15 |
| DBRCGA chuang | 8.3 (2) | 14 (9) | 18 (15) | 29 (23) | 46 (49) | 81 (46) | 572 (838) | 8/15 |
| DE-AUTO voglis | 1.8 (0.2) | 1.2 (0.2) | 1.1 (0.1) | 1.0 (0.1) | 0.73 (0.1)↑0 | 1.9 (2) | 3.6 (0.7) | 15/15 |
| DE-BFGS voglis | 1.7 (0.3) | 1.2 (0.2) | 1.1 (0.1) | 1.0 (0.1) | 0.73 (0.1)↑0 | 5.9 (5) | 862 (852) | 0/15 |
| DE-ROLL voglis | 48 (78) | 51 (77) | 75 (59) | 79 (50) | 53 (33) | 55 (26) | 148 (146) | 13/15 |
| DE-SIMPLEX voglis | 3.0 (1) | 2.9 (1) | 2.8 (1) | 2.5 (0.5) | 1.7 (0.3) | 1.6 (0.4) | 1.9 (1) | 15/15 |
| DEAE posik | 5.0 (2) | 5.0 (0.8) | 5.9 (0.8) | 6.1 (0.7) | 4.6 (0.6) | 4.8 (0.5) | 4.7 (0.5) | 15/15 |
| DE posik | 9.3 (2) | 12 (4) | 14 (5) | 18 (6) | 16 (5) | 19 (5) | 22 (7) | 15/15 |
| DEb posik | 9.3 (2) | 12 (4) | 14 (5) | 18 (6) | 16 (5) | 19 (5) | 22 (7) | 15/15 |
| DEctpb posik | 9.2 (4) | 13 (4) | 17 (6) | 20 (5) | 18 (4) | 21 (5) | 22 (3) | 15/15 |
| IPOPsaACM loshchilov | 2.4 (1) | 1.8 (0.6) | 1.9 (0.6) | 1.9 (0.7) | 1.4 (0.5) | 1.4 (0.3) | 1.3 (0.2) | 15/15 |
| JADE posik | 6.0 (2) | 7.2 (2) | 8.8 (2) | 9.3 (2) | 7.4 (1) | 7.4 (0.5) | 6.7 (0.5) | 15/15 |
| JADEb posik | 4.8 (2) | 5.0 (2) | 6.1 (2) | 7.9 (4) | 6.4 (3) | 7.1 (2) | 6.8 (2) | 15/15 |
| JADEctpb posik | 6.0 (2) | 7.2 (2) | 8.8 (2) | 9.3 (2) | 7.4 (1) | 7.4 (0.5) | 6.7 (0.5) | 15/15 |
| MVDE melo | 18 (12) | 31 (8) | 55 (23) | 75 (26) | 75 (20) | 98 (19) | 114 (13) | 15/15 |
| NBIPOPaCMA loshchilov | 3.9 (1) | 3.7 (1.0) | 4.6 (1) | 4.4 (1) | 3.3 (0.7) | 3.6 (0.6) | 3.4 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 3.8 (1) | 3.8 (1) | 4.4 (1) | 4.4 (1.0) | 3.4 (1.0) | 3.6 (0.7) | 3.4 (0.5) | 15/15 |
| PSO-BFGS voglis | 1.7 (0.1) | 1.2 (0.2) | 1.1 (0.1) | 1.00 (0.1) | 0.72 (0.1)↑0 | 95 (58) | 1.2e4 (2e4) | 0/15 |
| SNES schaul | 25 (35) | 83 (86) | 229 (315) | 606 (654) | 1781 (2577) | 1.6e4 (2e4) | ∞3e5 | 0/15 |
| xNES schaul | 4.8 (3) | 4.3 (2) | 4.5 (1) | 4.6 (1) | 3.5 (0.8) | 3.7 (0.5) | 3.6 (0.3) | 15/15 |
| xNESas schaul | 12 (2) | 8.0 (0.9) | 7.6 (0.9) | 6.9 (0.9) | 4.9 (0.9) | 4.8 (0.5) | 4.5 (0.4) | 15/15 |
| Δ fopt f14, 3-D |
1e1 2.0 |
1e0 17 |
1e-1 28 |
1e-2 43 |
1e-3 71 |
1e-5 110 |
1e-7 194 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.1 (2) | 3.8 (2) | 6.2 (2) | 7.3 (2) | 7.3 (2) | 77 (62) | 1805 (1768) | 11/15 |
| BIPOPaCMA loshchilov | 3.2 (4) | 2.8 (2) | 3.5 (2) | 4.4 (1) | 4.1 (1.0) | 4.9 (0.8) | 4.1 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 2.0 (2) | 2.3 (2) | 3.3 (0.8) | 3.0 (0.7) | 2.5 (0.5) | 2.5 (0.5) | 1.9 (0.3) | 15/15 |
| CMAES posik | 2.9 (3) | 2.8 (2) | 3.7 (2) | 4.4 (2) | 4.7 (2) | 6.6 (0.5) | 5.8 (0.8) | 15/15 |
| CMA brockhoff | 3.0 (3) | 3.1 (2) | 4.4 (1) | 4.6 (1) | 4.1 (1) | 6.9 (1) | 5.8 (0.8) | 15/15 |
| CMAa brockhoff | 4.3 (4) | 2.8 (3) | 4.1 (2) | 4.4 (0.9) | 4.3 (0.7) | 4.8 (0.9) | 4.2 (0.5) | 15/15 |
| CMAm brockhoff | 3.1 (4) | 2.5 (2) | 3.5 (2) | 4.0 (2) | 3.6 (1) | 6.1 (2) | 5.7 (1) | 15/15 |
| CMAma brockhoff | 4.0 (4) | 3.1 (2) | 3.9 (2) | 4.1 (1) | 4.1 (1) | 5.2 (0.9) | 4.4 (0.9) | 15/15 |
| CMAmah brockhoff | 3.9 (5) | 2.2 (2) | 2.8 (1) | 3.1 (0.8) | 3.6 (2) | 6.7 (2) | 6.1 (0.7) | 15/15 |
| CMAmh brockhoff | 2.6 (3) | 2.1 (2) | 2.5 (1) | 2.8 (2) | 4.3 (1) | 7.8 (2) | 7.6 (2) | 15/15 |
| DBRCGA chuang | 2.1 (2) | 6.1 (5) | 13 (6) | 16 (3) | 15 (3) | 45 (51) | 371 (580) | 14/15 |
| DE-AUTO voglis | 2.5 (3) | 3.2 (2) | 2.8 (0.5) | 2.1 (0.2) | 1.4 (0.2) | 1.2 (0.1) | 4.9 (5) | 15/15 |
| DE-BFGS voglis | 2.1 (2) | 1.9 (2) | 2.5 (0.3) | 1.9 (0.3) | 1.3 (0.2) | 1.1 (0.1) | 2.1 (2) | 15/15 |
| DE-ROLL voglis | 2.5 (2) | 6.4 (2) | 7.2 (6) | 6.0 (4) | 20 (18) | 195 (81) | 846 (906) | 1/15 |
| DE-SIMPLEX voglis | 1.9 (2) | 5.0 (1) | 4.0 (1) | 3.3 (1.0) | 2.3 (0.6) | 2.0 (0.6) | 1.4 (0.3) | 15/15 |
| DEAE posik | 3.5 (8) | 5.5 (4) | 8.0 (3) | 9.4 (2) | 7.7 (2) | 7.8 (1) | 6.0 (0.7) | 15/15 |
| DE posik | 2.2 (2) | 4.2 (3) | 6.6 (4) | 8.3 (1) | 9.1 (2) | 14 (3) | 16 (4) | 15/15 |
| DEb posik | 2.2 (2) | 4.2 (3) | 6.6 (4) | 8.3 (1) | 9.1 (2) | 14 (3) | 16 (4) | 15/15 |
| DEctpb posik | 2.0 (2) | 4.2 (3) | 8.7 (2) | 10 (4) | 10 (2) | 17 (5) | 18 (5) | 15/15 |
| IPOPsaACM loshchilov | 3.7 (5) | 2.5 (2) | 3.3 (0.9) | 3.1 (0.7) | 2.4 (0.6) | 2.4 (0.4) | 1.8 (0.3) | 15/15 |
| JADE posik | 2.3 (3) | 4.4 (3) | 5.9 (2) | 7.3 (2) | 7.1 (2) | 9.1 (1) | 7.9 (1) | 15/15 |
| JADEb posik | 2.5 (3) | 3.1 (1) | 4.6 (2) | 5.4 (1) | 5.3 (2) | 7.2 (2) | 7.1 (2) | 15/15 |
| JADEctpb posik | 2.3 (3) | 4.4 (3) | 5.9 (2) | 7.3 (2) | 7.1 (2) | 9.1 (1) | 7.9 (1) | 15/15 |
| MVDE melo | 2.2 (2) | 6.1 (5) | 17 (8) | 24 (4) | 26 (7) | 57 (26) | 76 (21) | 15/15 |
| NBIPOPaCMA loshchilov | 2.7 (3) | 2.0 (2) | 3.1 (2) | 3.8 (1) | 3.7 (0.7) | 4.6 (0.8) | 4.0 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 2.8 (3) | 2.1 (2) | 3.3 (1) | 3.7 (2) | 4.1 (0.9) | 4.9 (0.5) | 4.2 (0.5) | 15/15 |
| PSO-BFGS voglis | 2.4 (2) | 3.2 (2) | 2.7 (0.4) | 2.0 (0.2) | 1.4 (0.2) | 1.1 (0.1) | 24 (47) | 10/15 |
| SNES schaul | 7.5 (7) | 3.3 (2) | 3.7 (2) | 5.1 (1) | 14 (11) | 4803 (5569) | ∞3e5 | 0/15 |
| xNES schaul | 4.1 (6) | 2.9 (2) | 3.7 (2) | 4.6 (2) | 4.4 (0.8) | 5.0 (0.8) | 3.9 (0.3) | 15/15 |
| xNESas schaul | 4.7 (4) | 2.7 (3) | 3.4 (1) | 4.6 (1) | 4.4 (1) | 7.0 (1) | 5.3 (0.9) | 15/15 |
| Δ fopt f15, 3-D |
1e1 121 |
1e0 1372 |
1e-1 6285 |
1e-2 8282 |
1e-3 8429 |
1e-5 8787 |
1e-7 9041 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.7 (0.6) | 8.1 (20) | 10 (13) | 7.6 (10) | 7.5 (9) | 7.2 (9) | 7.1 (9) | 15/15 |
| BIPOPaCMA loshchilov | 1.4 (0.7) | 1.5 (1) | 1.4 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 15/15 |
| BIPOPsaACM loshchilov | 1.2 (0.8) | 1.2 (1) | 0.97 (0.7) | 0.76 (0.6) | 0.76 (0.6) | 0.74 (0.6) | 0.73 (0.5) | 15/15 |
| CMAES posik | 0.97 (0.5) | 2.1 (2) | 1.6 (0.9) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.6) | 15/15 |
| CMA brockhoff | 1.0 (0.6) | 1.7 (1) | 1.1 (1) | 0.92 (1) | 0.92 (1) | 0.92 (1) | 0.92 (1) | 15/15 |
| CMAa brockhoff | 1.2 (1.0) | 1.3 (1) | 0.97 (0.8) | 0.76 (0.6) | 0.76 (0.6) | 0.76 (0.6) | 0.77 (0.6) | 15/15 |
| CMAm brockhoff | 0.92 (0.8) | 1.6 (1) | 1.2 (0.7) | 0.92 (0.6) | 0.93 (0.6) | 0.92 (0.5) | 0.93 (0.5) | 15/15 |
| CMAma brockhoff | 0.96 (0.4) | 1.5 (1.0) | 1.3 (2) | 1.0 (1) | 1.0 (1) | 1.0 (1) | 1.1 (1) | 15/15 |
| CMAmah brockhoff | 2.4 (4) | 2.0 (2) | 0.92 (0.5) | 0.77 (0.4) | 0.78 (0.4) | 0.78 (0.4) | 0.78 (0.4) | 15/15 |
| CMAmh brockhoff | 2.6 (4) | 1.3 (1) | 0.88 (0.9) | 0.69 (0.7) | 0.70 (0.7) | 0.70 (0.7) | 0.71 (0.7) | 15/15 |
| DBRCGA chuang | 2.8 (1) | 3.8 (3) | 2.1 (2) | 1.7 (2) | 1.7 (2) | 1.6 (2) | 1.6 (2) | 15/15 |
| DE-AUTO voglis | 8.2 (12) | 5.4 (6) | 4.0 (4) | 3.1 (3) | 3.0 (3) | 2.9 (3) | 2.8 (3) | 15/15 |
| DE-BFGS voglis | 1.3 (0.9) | 1.0 (0.4) | 0.98 (0.9) | 0.74 (0.7) | 0.73 (0.7) | 0.70 (0.7) | 0.68 (0.6) | 15/15 |
| DE-ROLL voglis | 6.9 (10) | 7.5 (6) | 5.1 (6) | 3.8 (4) | 3.8 (4) | 3.6 (4) | 3.5 (4) | 15/15 |
| DE-SIMPLEX voglis | 5.3 (4) | 2.3 (1.0) | 1.8 (2) | 1.4 (1) | 1.4 (1) | 1.3 (1) | 1.3 (1) | 15/15 |
| DEAE posik | 1.9 (0.8) | 1.8 (2) | 1.3 (1) | 1.0 (1) | 1.0 (1) | 1.0 (1) | 1.0 (1.0) | 15/15 |
| DE posik | 2.2 (1) | 2.5 (2) | 1.8 (2) | 1.4 (2) | 1.4 (2) | 1.4 (1) | 1.3 (1) | 15/15 |
| DEb posik | 2.2 (1) | 2.5 (2) | 1.8 (2) | 1.4 (2) | 1.4 (2) | 1.4 (1) | 1.3 (1) | 15/15 |
| DEctpb posik | 2.0 (2) | 2.5 (2) | 1.4 (2) | 1.1 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 15/15 |
| IPOPsaACM loshchilov | 0.90 (0.5) | 1.2 (1) | 0.97 (0.8) | 0.79 (0.6) | 0.79 (0.6) | 0.77 (0.6) | 0.76 (0.6) | 15/15 |
| JADE posik | 1.8 (0.5) | 1.6 (0.7) | 0.94 (1.0) | 0.77 (0.7) | 0.80 (0.7) | 0.82 (0.7) | 0.82 (0.7) | 15/15 |
| JADEb posik | 1.4 (0.8) | 3.1 (5) | 3.8 (5) | 2.9 (4) | 2.9 (3) | 2.8 (3) | 2.7 (3) | 15/15 |
| JADEctpb posik | 1.8 (0.5) | 1.6 (0.7) | 0.94 (1.0) | 0.77 (0.7) | 0.80 (0.7) | 0.82 (0.7) | 0.82 (0.7) | 15/15 |
| MVDE melo | 2.9 (1) | 56 (3) | 26 (80) | 20 (60) | 20 (60) | 19 (57) | 19 (56) | 13/15 |
| NBIPOPaCMA loshchilov | 1.0 (0.5) | 1.8 (2) | 2.8 (2) | 2.3 (2) | 2.2 (2) | 2.2 (2) | 2.3 (2) | 15/15 |
| NIPOPaCMA loshchilov | 0.94 (0.5) | 1.8 (1) | 1.1 (0.7) | 0.90 (0.5) | 0.91 (0.6) | 0.90 (0.6) | 0.92 (0.6) | 15/15 |
| PSO-BFGS voglis | 5.1 (5) | 3.4 (3) | 1.9 (2) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 1.3 (1) | 15/15 |
| SNES schaul | 1.3 (0.9) | 5.5 (5) | 10 (16) | 8.0 (12) | 7.8 (12) | 7.5 (12) | 7.3 (11) | 15/15 |
| xNES schaul | 2.8 (2) | 10 (11) | 10 (11) | 7.7 (8) | 7.6 (8) | 7.3 (8) | 7.1 (7) | 14/15 |
| xNESas schaul | 1.2 (0.6) | 5.5 (8) | 5.1 (5) | 3.9 (4) | 3.8 (4) | 3.7 (4) | 3.6 (4) | 15/15 |
| Δ fopt f16, 3-D |
1e1 41 |
1e0 319 |
1e-1 582 |
1e-2 789 |
1e-3 1864 |
1e-5 3204 |
1e-7 3361 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.7 (1) | 10 (8) | 63 (101) | 65 (75) | 31 (39) | 18 (23) | 17 (22) | 15/15 |
| BIPOPaCMA loshchilov | 1.5 (2) | 2.6 (3) | 4.1 (6) | 4.1 (6) | 1.8 (3) | 1.1 (2) | 1.1 (2) | 15/15 |
| BIPOPsaACM loshchilov | 1.0 (2) | 2.9 (4) | 2.4 (2) | 3.1 (3) | 1.4 (1) | 0.92 (0.7) | 0.94 (0.7) | 15/15 |
| CMAES posik | 1.5 (1) | 2.9 (5) | 4.9 (5) | 4.7 (6) | 3.1 (6) | 2.2 (3) | 2.1 (3) | 15/15 |
| CMA brockhoff | 1.4 (1) | 2.7 (3) | 2.3 (2) | 2.2 (2) | 1.4 (1) | 0.95 (0.9) | 0.96 (0.8) | 15/15 |
| CMAa brockhoff | 1.7 (2) | 2.8 (3) | 2.7 (4) | 3.4 (3) | 1.6 (1) | 1.1 (1) | 1.2 (1) | 15/15 |
| CMAm brockhoff | 1.7 (2) | 3.0 (4) | 3.1 (3) | 2.8 (2) | 1.3 (1) | 1.2 (0.6) | 1.2 (0.6) | 15/15 |
| CMAma brockhoff | 4.2 (3) | 3.6 (4) | 3.5 (3) | 3.5 (3) | 1.6 (2) | 1.1 (1) | 1.1 (1) | 15/15 |
| CMAmah brockhoff | 6.7 (14) | 3.5 (3) | 3.6 (4) | 3.4 (3) | 1.6 (0.7) | 0.98 (0.4) | 0.98 (0.4) | 15/15 |
| CMAmh brockhoff | 1.6 (1) | 3.7 (3) | 5.3 (7) | 4.6 (5) | 2.7 (3) | 1.8 (2) | 1.7 (2) | 15/15 |
| DBRCGA chuang | 1.7 (2) | 5.6 (11) | 8.3 (9) | 20 (26) | 15 (15) | 15 (18) | 15 (17) | 15/15 |
| DE-AUTO voglis | 11 (15) | 26 (38) | 38 (29) | 71 (35) | 37 (21) | 26 (15) | 35 (34) | 14/15 |
| DE-BFGS voglis | 1.5 (2) | 3.6 (4) | 34 (27) | 29 (36) | 13 (15) | 7.8 (9) | 54 (73) | 4/15 |
| DE-ROLL voglis | 0.90 (0.7) | 23 (31) | 69 (30) | 115 (201) | 58 (110) | 38 (49) | 74 (76) | 5/15 |
| DE-SIMPLEX voglis | 2.0 (3) | 2.6 (2) | 3.2 (3) | 2.8 (3) | 1.7 (1) | 1.9 (0.7) | 7.6 (5) | 15/15 |
| DEAE posik | 0.92 (1) | 2.6 (2) | 4.2 (2) | 4.5 (4) | 2.0 (2) | 1.3 (0.9) | 1.3 (0.9) | 15/15 |
| DE posik | 2.2 (2) | 4.8 (3) | 5.1 (3) | 7.1 (8) | 3.2 (4) | 2.1 (2) | 2.1 (2) | 15/15 |
| DEb posik | 2.2 (2) | 4.8 (3) | 5.1 (3) | 7.1 (8) | 3.2 (4) | 2.1 (2) | 2.1 (2) | 15/15 |
| DEctpb posik | 1.9 (2) | 6.3 (5) | 8.9 (4) | 13 (9) | 7.0 (4) | 8.8 (4) | 12 (23) | 13/15 |
| IPOPsaACM loshchilov | 2.7 (1) | 3.9 (6) | 2.8 (4) | 2.3 (3) | 1.1 (1) | 0.81 (0.9) | 0.84 (0.9) | 15/15 |
| JADE posik | 1.2 (0.7) | 3.5 (3) | 6.2 (5) | 8.7 (8) | 4.4 (3) | 3.0 (3) | 4.8 (3) | 15/15 |
| JADEb posik | 1.2 (1) | 2.1 (1) | 2.2 (0.5) | 2.1 (2) | 1.8 (3) | 1.3 (1) | 1.4 (1) | 15/15 |
| JADEctpb posik | 1.2 (0.7) | 3.5 (3) | 6.2 (5) | 8.7 (8) | 4.4 (3) | 3.0 (3) | 4.8 (3) | 15/15 |
| MVDE melo | 1.0 (0.8) | 5.3 (4) | 15 (7) | 109 (14) | 204 (271) | 120 (157) | 115 (225) | 11/15 |
| NBIPOPaCMA loshchilov | 1.5 (2) | 2.4 (3) | 2.2 (2) | 2.3 (2) | 1.1 (1) | 0.74 (0.8) | 0.74 (0.7) | 15/15 |
| NIPOPaCMA loshchilov | 1.5 (1) | 2.6 (2) | 2.8 (3) | 2.2 (2) | 0.99 (0.9) | 0.71 (0.6) | 0.72 (0.5) | 15/15 |
| PSO-BFGS voglis | 3.4 (4) | 4.4 (5) | 9.2 (7) | 15 (14) | 14 (11) | 11 (11) | 59 (58) | 6/15 |
| SNES schaul | 1.9 (2) | 3.0 (5) | 5.0 (5) | 7.7 (11) | 11 (21) | 15 (19) | 35 (46) | 12/15 |
| xNES schaul | 1.4 (2) | 2.6 (5) | 4.3 (4) | 3.8 (6) | 1.8 (3) | 1.2 (2) | 1.1 (2) | 15/15 |
| xNESas schaul | 0.92 (1) | 2.8 (4) | 3.2 (3) | 2.6 (3) | 1.1 (1) | 0.71 (0.6) | 0.73 (0.6) | 15/15 |
| Δ fopt f17, 3-D |
1e1 4.0 |
1e0 78 |
1e-1 282 |
1e-2 491 |
1e-3 1134 |
1e-5 2347 |
1e-7 3469 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.1 (2) | 2.0 (0.7) | 1.5 (0.3) | 1.5 (0.4) | 6.0 (0.2) | 3.2 (0.1) | 4.6 (13) | 15/15 |
| BIPOPaCMA loshchilov | 3.8 (6) | 1.8 (1) | 1.5 (2) | 1.3 (1) | 0.89 (0.6) | 1.0 (0.8) | 0.81 (0.6) | 15/15 |
| BIPOPsaACM loshchilov | 3.0 (5) | 1.3 (0.6) | 1.9 (3) | 2.6 (2) | 1.3 (1) | 1.6 (1) | 1.4 (0.9) | 15/15 |
| CMAES posik | 4.0 (3) | 1.1 (0.5) | 1.6 (2) | 1.7 (2) | 1.1 (0.8) | 2.6 (4) | 3.3 (4) | 15/15 |
| CMA brockhoff | 2.6 (4) | 2.1 (0.5) | 1.1 (0.3) | 1.6 (2) | 1.00 (0.7) | 0.66 (0.4) | 0.72 (0.7) | 15/15 |
| CMAa brockhoff | 4.0 (5) | 2.4 (1) | 1.4 (2) | 1.6 (2) | 0.94 (0.9) | 0.96 (0.8) | 0.84 (0.6) | 15/15 |
| CMAm brockhoff | 3.3 (3) | 3.4 (7) | 1.3 (2) | 1.4 (1) | 0.88 (0.6) | 1.0 (0.5) | 0.94 (0.5) | 15/15 |
| CMAma brockhoff | 4.5 (5) | 1.7 (0.7) | 1.7 (2) | 1.5 (1) | 0.98 (0.6) | 0.80 (0.8) | 0.78 (0.6) | 15/15 |
| CMAmah brockhoff | 3.3 (4) | 2.4 (0.6) | 4.0 (4) | 3.1 (2) | 2.0 (1) | 1.3 (0.3) | 1.2 (0.4) | 15/15 |
| CMAmh brockhoff | 4.7 (4) | 10 (26) | 4.7 (7) | 4.1 (4) | 2.5 (2) | 1.6 (0.9) | 1.3 (0.6) | 15/15 |
| DBRCGA chuang | 1.8 (2) | 3.7 (1) | 3.1 (0.8) | 3.1 (0.5) | 3.2 (5) | 4.4 (5) | 8.1 (13) | 15/15 |
| DE-AUTO voglis | 2.2 (2) | 31 (41) | 22 (13) | 27 (17) | 16 (10) | 13 (6) | 16 (10) | 15/15 |
| DE-BFGS voglis | 2.8 (2) | 5.5 (5) | 4.0 (3) | 4.7 (2) | 2.7 (1) | 2.0 (0.5) | 50 (76) | 3/15 |
| DE-ROLL voglis | 17 (3) | 15 (18) | 24 (16) | 29 (13) | 19 (11) | 15 (10) | 127 (125) | 5/15 |
| DE-SIMPLEX voglis | 2.4 (3) | 9.0 (6) | 5.8 (2) | 6.4 (3) | 3.7 (0.8) | 3.1 (0.6) | 242 (325) | 0/15 |
| DEAE posik | 1.9 (2) | 2.8 (1) | 1.9 (0.6) | 1.8 (0.3) | 1.1 (0.2) | 1.1 (0.7) | 1.3 (0.7) | 15/15 |
| DE posik | 1.6 (1) | 2.7 (1) | 2.3 (0.8) | 2.3 (0.7) | 1.4 (0.3) | 1.4 (0.4) | 1.8 (2) | 15/15 |
| DEb posik | 1.6 (1) | 2.7 (1) | 2.3 (0.8) | 2.3 (0.7) | 1.4 (0.3) | 1.4 (0.4) | 1.8 (2) | 15/15 |
| DEctpb posik | 1.7 (2) | 3.1 (2) | 2.5 (0.7) | 2.8 (1) | 1.8 (0.4) | 1.6 (0.3) | 1.6 (0.5) | 15/15 |
| IPOPsaACM loshchilov | 2.2 (3) | 1.2 (0.8) | 1.3 (2) | 1.6 (2) | 1.3 (0.9) | 1.1 (0.9) | 0.97 (0.5) | 15/15 |
| JADE posik | 1.7 (2) | 1.7 (0.9) | 1.8 (0.5) | 1.9 (0.4) | 1.2 (0.3) | 0.99 (0.2) | 0.92 (0.1) | 15/15 |
| JADEb posik | 1.8 (2) | 1.4 (0.9) | 1.2 (0.4) | 2.3 (4) | 1.3 (2) | 1.4 (1) | 3.6 (6) | 15/15 |
| JADEctpb posik | 1.7 (2) | 1.7 (0.9) | 1.8 (0.5) | 1.9 (0.4) | 1.2 (0.3) | 0.99 (0.2) | 0.92 (0.1) | 15/15 |
| MVDE melo | 1.6 (2) | 4.7 (2) | 5.2 (2) | 6.3 (2) | 4.9 (1) | 4.5 (1) | 4.4 (1) | 15/15 |
| NBIPOPaCMA loshchilov | 2.8 (3) | 2.2 (0.6) | 1.3 (2) | 1.4 (1) | 0.99 (0.7) | 1.0 (0.2) | 1.3 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 3.0 (4) | 3.1 (7) | 1.4 (2) | 1.5 (2) | 0.87 (0.7) | 0.98 (0.5) | 0.92 (0.7) | 15/15 |
| PSO-BFGS voglis | 1.9 (2) | 11 (13) | 14 (6) | 11 (4) | 6.6 (2) | 4.9 (0.8) | 63 (71) | 1/15 |
| SNES schaul | 6.2 (8) | 4.0 (1.0) | 2.9 (6) | 2.1 (3) | 1.7 (2) | 6.3 (4) | 8.0 (9) | 14/15 |
| xNES schaul | 5.0 (6) | 1.6 (1) | 2.4 (5) | 2.3 (3) | 1.9 (3) | 3.1 (3) | 3.0 (3) | 15/15 |
| xNESas schaul | 4.8 (5) | 3.4 (1) | 1.7 (1) | 2.6 (5) | 1.3 (2) | 3.3 (3) | 2.8 (2) | 15/15 |
| Δ fopt f18, 3-D |
1e1 40 |
1e0 145 |
1e-1 1289 |
1e-2 3084 |
1e-3 3523 |
1e-5 4738 |
1e-7 5527 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.2 (1) | 3.0 (1) | 23 (60) | 12 (25) | 15 (27) | 29 (38) | 31 (39) | 15/15 |
| BIPOPaCMA loshchilov | 1.3 (1) | 2.3 (0.3) | 0.95 (2) | 0.66 (0.7) | 0.69 (0.6) | 0.70 (0.5) | 0.75 (0.5) | 15/15 |
| BIPOPsaACM loshchilov | 1.2 (0.8) | 2.2 (0.8) | 0.97 (0.8) | 0.58 (0.7) | 0.62 (0.6) | 1.1 (0.4) | 1.0 (0.4) | 15/15 |
| CMAES posik | 1.3 (0.9) | 3.1 (5) | 2.5 (3) | 2.5 (3) | 3.4 (3) | 6.5 (7) | 11 (14) | 13/15 |
| CMA brockhoff | 3.6 (1) | 2.0 (1) | 1.0 (1) | 0.86 (0.8) | 0.83 (0.7) | 0.85 (0.4) | 0.86 (0.4) | 15/15 |
| CMAa brockhoff | 1.3 (1) | 2.5 (1) | 1.0 (1) | 0.88 (0.7) | 0.93 (0.6) | 0.87 (0.3) | 0.90 (0.3) | 15/15 |
| CMAm brockhoff | 1.5 (0.8) | 2.3 (0.4) | 1.2 (1) | 0.99 (1) | 1.4 (1) | 1.3 (0.8) | 1.3 (0.8) | 15/15 |
| CMAma brockhoff | 1.2 (0.9) | 4.3 (7) | 1.6 (2) | 0.97 (0.6) | 0.90 (0.5) | 0.85 (0.4) | 0.83 (0.3) | 15/15 |
| CMAmah brockhoff | 6.1 (10) | 4.8 (4) | 1.8 (2) | 1.2 (0.9) | 1.3 (0.5) | 1.2 (0.4) | 1.2 (0.5) | 15/15 |
| CMAmh brockhoff | 2.9 (1) | 5.2 (8) | 2.8 (4) | 1.5 (2) | 1.6 (1.0) | 1.4 (0.6) | 1.3 (0.6) | 15/15 |
| DBRCGA chuang | 2.7 (2) | 3.5 (1) | 4.1 (6) | 8.3 (11) | 22 (21) | 32 (43) | 60 (90) | 9/15 |
| DE-AUTO voglis | 22 (24) | 37 (33) | 10 (11) | 12 (7) | 15 (5) | 16 (5) | 24 (28) | 13/15 |
| DE-BFGS voglis | 2.3 (2) | 9.0 (7) | 2.2 (1) | 1.8 (2) | 2.2 (2) | 2.2 (2) | 91 (110) | 0/15 |
| DE-ROLL voglis | 16 (36) | 34 (39) | 14 (10) | 11 (6) | 17 (8) | 23 (19) | 188 (178) | 0/15 |
| DE-SIMPLEX voglis | 9.5 (9) | 27 (33) | 10 (13) | 5.3 (6) | 5.1 (5) | 4.7 (5) | 170 (204) | 0/15 |
| DEAE posik | 2.3 (2) | 2.4 (0.5) | 0.52 (0.1)↑0 | 0.76 (0.9) | 1.1 (2) | 1.2 (1) | 1.2 (1) | 15/15 |
| DE posik | 2.7 (2) | 3.9 (2) | 1.0 (0.5) | 0.87 (0.5) | 1.2 (1) | 1.7 (1) | 3.4 (5) | 15/15 |
| DEb posik | 2.7 (2) | 3.9 (2) | 1.0 (0.5) | 0.87 (0.5) | 1.2 (1) | 1.7 (1) | 3.4 (5) | 15/15 |
| DEctpb posik | 2.6 (1) | 4.1 (2) | 1.2 (0.5) | 0.96 (0.3) | 1.2 (0.3) | 1.9 (2) | 5.8 (6) | 14/15 |
| IPOPsaACM loshchilov | 1.4 (1) | 4.0 (6) | 1.3 (0.9) | 0.84 (0.7) | 0.91 (0.6) | 1.1 (0.4) | 1.3 (0.6) | 15/15 |
| JADE posik | 1.9 (0.7) | 2.8 (1.0) | 0.74 (0.2)↑1 | 0.50 (0.1)↑0 | 0.57 (0.1)↑0 | 0.65 (0.1)↑0 | 0.76 (0.1)↑1 | 15/15 |
| JADEb posik | 1.3 (1.0) | 1.8 (2) | 1.8 (5) | 1.4 (2) | 2.7 (6) | 6.8 (9) | 13 (14) | 13/15 |
| JADEctpb posik | 1.9 (0.7) | 2.8 (1.0) | 0.74 (0.2)↑1 | 0.50 (0.1)↑0 | 0.57 (0.1)↑0 | 0.65 (0.1)↑0 | 0.76 (0.1)↑1 | 15/15 |
| MVDE melo | 3.5 (2) | 8.0 (2) | 3.3 (1) | 3.0 (1) | 3.9 (1) | 5.5 (1) | 6.4 (2) | 15/15 |
| NBIPOPaCMA loshchilov | 3.0 (2) | 3.0 (4) | 1.0 (0.7) | 0.92 (1) | 0.89 (1.0) | 0.91 (0.6) | 1.1 (0.6) | 15/15 |
| NIPOPaCMA loshchilov | 1.5 (1) | 5.2 (8) | 1.6 (2) | 1.1 (0.8) | 1.1 (0.5) | 1.0 (0.4) | 0.95 (0.4) | 15/15 |
| PSO-BFGS voglis | 7.8 (8) | 24 (20) | 20 (40) | 10 (17) | 10 (15) | 12 (13) | 243 (315) | 0/15 |
| SNES schaul | 1.7 (1) | 3.6 (3) | 5.5 (6) | 9.5 (9) | 71 (106) | 443 (491) | 390 (394) | 2/15 |
| xNES schaul | 1.7 (1) | 5.9 (11) | 1.5 (2) | 0.83 (1.0) | 1.3 (2) | 2.8 (3) | 3.8 (3) | 15/15 |
| xNESas schaul | 1.1 (0.9) | 2.4 (0.9) | 0.72 (0.8) | 0.43 (0.5) | 0.61 (0.4) | 1.5 (2) | 2.4 (3) | 15/15 |
| Δ fopt f19, 3-D |
1e1 1 |
1e0 1 |
1e-1 109 |
1e-2 6764 |
1e-3 7367 |
1e-5 7399 |
1e-7 7441 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.3 (2) | 170 (119) | 31 (38) | 3.8 (5) | 13 (18) | 14 (19) | 15 (20) | 15/15 |
| BIPOPaCMA loshchilov | 10 (11) | 140 (118) | 38 (47) | 2.7 (3) | 3.9 (4) | 3.9 (4) | 3.9 (4) | 15/15 |
| BIPOPsaACM loshchilov | 8.4 (16) | 424 (684) | 31 (21) | 1.6 (3) | 1.8 (2) | 1.8 (2) | 1.8 (2) | 15/15 |
| CMAES posik | 10 (9) | 312 (638) | 50 (38) | 3.4 (4) | 7.6 (10) | 7.6 (10) | 7.6 (11) | 13/15 |
| CMA brockhoff | 7.7 (6) | 203 (364) | 132 (226) | 9.1 (9) | 8.4 (9) | 8.5 (9) | 8.5 (9) | 15/15 |
| CMAa brockhoff | 7.3 (7) | 109 (98) | 88 (141) | 4.4 (5) | 4.4 (4) | 4.5 (4) | 4.5 (4) | 15/15 |
| CMAm brockhoff | 10 (8) | 493 (560) | 154 (290) | 9.1 (8) | 8.9 (8) | 8.9 (8) | 8.9 (8) | 15/15 |
| CMAma brockhoff | 5.7 (4) | 382 (911) | 60 (38) | 5.3 (9) | 5.6 (8) | 5.6 (8) | 5.6 (8) | 15/15 |
| CMAmah brockhoff | 5.3 (6) | 168 (185) | 228 (386) | 6.3 (8) | 6.1 (7) | 6.2 (7) | 6.2 (7) | 15/15 |
| CMAmh brockhoff | 6.4 (6) | 325 (178) | 102 (160) | 3.5 (5) | 4.5 (5) | 4.5 (5) | 4.5 (5) | 15/15 |
| DBRCGA chuang | 12 (15) | 235 (140) | 38 (33) | 10 (13) | 19 (32) | 19 (21) | 19 (23) | 12/15 |
| DE-AUTO voglis | 4.1 (4) | 1701 (1930) | 81 (76) | 4.9 (6) | 15 (21) | 15 (20) | 19 (25) | 12/15 |
| DE-BFGS voglis | 18 (18) | 310 (238) | 19 (21) | 1.7 (1) | 11 (18) | 11 (17) | 18 (19) | 7/15 |
| DE-ROLL voglis | 10 (10) | 879 (1802) | 72 (83) | 12 (16) | 22 (24) | 22 (26) | 35 (34) | 6/15 |
| DE-SIMPLEX voglis | 12 (18) | 685 (1100) | 32 (33) | 3.1 (3) | 9.4 (14) | 9.4 (14) | 9.3 (14) | 14/15 |
| DEAE posik | 5.6 (8) | 253 (151) | 25 (22) | 6.4 (11) | 10 (11) | 10 (20) | 10 (16) | 11/15 |
| DE posik | 14 (16) | 276 (230) | 36 (37) | 2.5 (2) | 5.1 (7) | 5.2 (7) | 5.2 (7) | 14/15 |
| DEb posik | 14 (16) | 276 (230) | 36 (37) | 2.5 (2) | 5.1 (7) | 5.2 (7) | 5.2 (7) | 14/15 |
| DEctpb posik | 10 (8) | 279 (250) | 24 (12) | 1.3 (0.6) | 1.6 (0.5) | 2.1 (1) | 2.2 (1) | 15/15 |
| IPOPsaACM loshchilov | 8.1 (7) | 268 (375) | 138 (142) | 4.5 (5) | 5.3 (8) | 5.4 (8) | 5.4 (8) | 15/15 |
| JADE posik | 13 (16) | 166 (172) | 27 (21) | 2.9 (2) | 3.0 (2) | 3.2 (1) | 3.3 (1) | 14/15 |
| JADEb posik | 12 (14) | 159 (148) | 20 (19) | 1.4 (2) | 4.0 (10) | 4.7 (10) | 4.7 (10) | 13/15 |
| JADEctpb posik | 13 (16) | 166 (172) | 27 (21) | 2.9 (2) | 3.0 (2) | 3.2 (1) | 3.3 (1) | 14/15 |
| MVDE melo | 10 (9) | 387 (328) | 30 (28) | 25 (74) | 70 (170) | 71 (136) | 71 (102) | 10/15 |
| NBIPOPaCMA loshchilov | 9.2 (8) | 174 (152) | 41 (50) | 2.9 (4) | 3.4 (4) | 3.4 (4) | 3.4 (4) | 15/15 |
| NIPOPaCMA loshchilov | 11 (12) | 114 (86) | 110 (168) | 10 (16) | 13 (17) | 13 (18) | 13 (18) | 15/15 |
| PSO-BFGS voglis | 8.4 (8) | 491 (938) | 41 (31) | 2.6 (3) | 2.9 (4) | 2.9 (4) | 14 (23) | 9/15 |
| SNES schaul | 9.1 (8) | 264 (399) | 28 (29) | 3.3 (3) | 8.1 (7) | 16 (10) | 23 (13) | 11/15 |
| xNES schaul | 7.5 (9) | 137 (132) | 41 (47) | 3.3 (4) | 5.5 (4) | 5.8 (5) | 5.8 (5) | 15/15 |
| xNESas schaul | 8.3 (8) | 526 (250) | 63 (79) | 8.6 (11) | 10 (9) | 14 (9) | 14 (9) | 14/15 |
| Δ fopt f20, 3-D |
1e1 8.0 |
1e0 385 |
1e-1 2291 |
1e-2 2398 |
1e-3 2481 |
1e-5 2573 |
1e-7 2776 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.2 (4) | 1.5 (0.9) | 2.3 (0.3) | 2.4 (0.4) | 2.3 (0.4) | 2.3 (0.4) | 2.2 (0.3) | 15/15 |
| BIPOPaCMA loshchilov | 1.4 (1) | 5.6 (8) | 6.0 (8) | 6.3 (8) | 6.2 (7) | 6.1 (7) | 5.8 (7) | 15/15 |
| BIPOPsaACM loshchilov | 3.0 (3) | 2.7 (3) | 3.7 (4) | 3.7 (4) | 3.6 (4) | 3.5 (4) | 3.3 (4) | 15/15 |
| CMAES posik | 2.6 (3) | 7.1 (8) | 17 (19) | 17 (18) | 16 (17) | 16 (17) | 14 (15) | 15/15 |
| CMA brockhoff | 2.9 (3) | 5.5 (7) | 5.2 (4) | 5.5 (4) | 5.5 (4) | 5.5 (4) | 5.3 (4) | 15/15 |
| CMAa brockhoff | 3.1 (2) | 6.5 (7) | 6.7 (4) | 6.8 (4) | 6.7 (4) | 6.7 (4) | 6.4 (4) | 15/15 |
| CMAm brockhoff | 3.2 (4) | 7.3 (8) | 6.0 (4) | 6.1 (4) | 6.1 (4) | 6.1 (4) | 5.8 (4) | 15/15 |
| CMAma brockhoff | 1.9 (2) | 7.3 (6) | 6.7 (4) | 7.1 (4) | 7.1 (4) | 7.1 (4) | 6.8 (3) | 15/15 |
| CMAmah brockhoff | 2.0 (2) | 5.9 (7) | 6.7 (3) | 7.0 (3) | 7.0 (3) | 7.0 (3) | 6.7 (3) | 15/15 |
| CMAmh brockhoff | 2.3 (2) | 6.0 (7) | 7.0 (7) | 7.1 (8) | 7.2 (8) | 7.2 (8) | 6.8 (8) | 15/15 |
| DBRCGA chuang | 5.6 (8) | 2.2 (1) | 4.5 (5) | 4.4 (5) | 4.4 (4) | 4.4 (4) | 4.2 (4) | 15/15 |
| DE-AUTO voglis | 2.9 (3) | 6.1 (7) | 13 (16) | 12 (16) | 12 (15) | 12 (15) | 11 (14) | 15/15 |
| DE-BFGS voglis | 5.3 (2) | 2.0 (2) | 14 (12) | 13 (11) | 12 (11) | 12 (11) | 11 (10) | 15/15 |
| DE-ROLL voglis | 4.1 (2) | 4.3 (5) | 29 (47) | 28 (45) | 27 (44) | 26 (42) | 24 (39) | 14/15 |
| DE-SIMPLEX voglis | 3.6 (4) | 3.6 (4) | 41 (50) | 39 (48) | 38 (46) | 36 (45) | 34 (41) | 15/15 |
| DEAE posik | 3.0 (3) | 2.1 (1) | 3.6 (4) | 3.5 (4) | 3.4 (3) | 3.4 (3) | 3.2 (3) | 15/15 |
| DE posik | 5.0 (5) | 1.6 (0.7) | 1.5 (2) | 1.6 (2) | 1.6 (2) | 1.6 (2) | 1.6 (2) | 15/15 |
| DEb posik | 5.0 (5) | 1.6 (0.7) | 1.5 (2) | 1.6 (2) | 1.6 (2) | 1.6 (2) | 1.6 (2) | 15/15 |
| DEctpb posik | 3.1 (5) | 1.7 (0.8) | 1.4 (1) | 1.5 (1) | 1.5 (1) | 1.7 (1) | 1.7 (1) | 15/15 |
| IPOPsaACM loshchilov | 2.3 (2) | 3.0 (4) | 2.4 (2) | 2.6 (2) | 2.6 (2) | 2.5 (2) | 2.3 (2) | 15/15 |
| JADE posik | 3.1 (3) | 1.1 (0.6) | 1.2 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 15/15 |
| JADEb posik | 3.0 (2) | 1.7 (2) | 2.0 (2) | 2.0 (2) | 1.9 (2) | 1.9 (2) | 1.8 (2) | 15/15 |
| JADEctpb posik | 3.1 (3) | 1.1 (0.6) | 1.2 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 15/15 |
| MVDE melo | 5.6 (6) | 2.2 (1) | 110 (218) | 106 (209) | 103 (202) | 99 (292) | 93 (180) | 12/15 |
| NBIPOPaCMA loshchilov | 3.7 (3) | 3.2 (2) | 8.0 (10) | 8.0 (10) | 8.0 (10) | 7.9 (10) | 7.6 (9) | 15/15 |
| NIPOPaCMA loshchilov | 3.0 (2) | 3.4 (4) | 6.6 (9) | 6.6 (9) | 6.7 (9) | 6.6 (8) | 6.4 (8) | 15/15 |
| PSO-BFGS voglis | 6.2 (4) | 2.4 (2) | 7.9 (11) | 7.6 (11) | 7.3 (11) | 7.1 (10) | 6.6 (9) | 15/15 |
| SNES schaul | 1.9 (2) | 8.9 (11) | 10 (11) | 10 (11) | 9.3 (10) | 9.0 (10) | 8.4 (9) | 15/15 |
| xNES schaul | 2.0 (2) | 14 (16) | 19 (20) | 21 (19) | 20 (19) | 20 (18) | 18 (17) | 15/15 |
| xNESas schaul | 3.1 (3) | 7.6 (8) | 12 (13) | 14 (20) | 14 (19) | 13 (19) | 12 (17) | 15/15 |
| Δ fopt f21, 3-D |
1e1 6.0 |
1e0 184 |
1e-1 425 |
1e-2 439 |
1e-3 458 |
1e-5 469 |
1e-7 482 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.5 (2) | 112 (143) | 57 (62) | 56 (60) | 54 (57) | 53 (56) | 52 (54) | 15/15 |
| BIPOPaCMA loshchilov | 1.3 (1) | 7.9 (12) | 11 (16) | 11 (16) | 16 (21) | 16 (21) | 16 (20) | 15/15 |
| BIPOPsaACM loshchilov | 2.3 (2) | 3.4 (4) | 7.2 (15) | 7.4 (14) | 7.5 (17) | 7.5 (17) | 7.4 (17) | 15/15 |
| CMAES posik | 1.8 (3) | 9.1 (11) | 11 (13) | 11 (13) | 10 (12) | 10 (12) | 10 (12) | 15/15 |
| CMA brockhoff | 1.3 (1) | 7.3 (12) | 6.1 (8) | 6.7 (8) | 6.6 (8) | 7.1 (9) | 7.0 (8) | 15/15 |
| CMAa brockhoff | 2.3 (2) | 4.0 (6) | 5.5 (6) | 7.1 (6) | 15 (26) | 15 (27) | 15 (28) | 15/15 |
| CMAm brockhoff | 1.2 (1) | 10 (12) | 49 (14) | 48 (14) | 46 (13) | 46 (14) | 45 (14) | 14/15 |
| CMAma brockhoff | 1.2 (0.9) | 8.3 (19) | 8.3 (12) | 12 (13) | 12 (13) | 12 (15) | 12 (15) | 15/15 |
| CMAmah brockhoff | 0.96 (1) | 6.0 (11) | 8.0 (9) | 8.2 (9) | 7.9 (8) | 8.8 (8) | 8.8 (8) | 15/15 |
| CMAmh brockhoff | 1.5 (2) | 4.7 (6) | 13 (14) | 14 (15) | 13 (15) | 14 (15) | 14 (15) | 15/15 |
| DBRCGA chuang | 1.4 (0.9) | 3.4 (6) | 4.4 (6) | 5.0 (6) | 5.1 (6) | 5.7 (6) | 6.1 (5) | 15/15 |
| DE-AUTO voglis | 1.8 (2) | 30 (46) | 71 (128) | 69 (124) | 66 (119) | 65 (116) | 63 (113) | 15/15 |
| DE-BFGS voglis | 1.1 (0.8) | 2.7 (3) | 8.1 (9) | 7.9 (9) | 7.6 (8) | 7.5 (8) | 17 (33) | 15/15 |
| DE-ROLL voglis | 1.7 (1) | 27 (44) | 48 (57) | 47 (55) | 45 (53) | 44 (52) | 43 (51) | 15/15 |
| DE-SIMPLEX voglis | 1.3 (1) | 11 (24) | 9.1 (20) | 9.0 (19) | 8.7 (18) | 8.5 (18) | 8.3 (17) | 15/15 |
| DEAE posik | 1.2 (0.9) | 5.5 (9) | 7.8 (6) | 8.0 (7) | 7.9 (7) | 8.0 (7) | 8.0 (7) | 15/15 |
| DE posik | 1.8 (2) | 3.5 (4) | 4.1 (6) | 4.4 (6) | 4.3 (5) | 4.7 (5) | 5.1 (5) | 15/15 |
| DEb posik | 1.8 (2) | 3.5 (4) | 4.1 (6) | 4.4 (6) | 4.3 (5) | 4.7 (5) | 5.1 (5) | 15/15 |
| DEctpb posik | 2.4 (2) | 1.8 (3) | 2.0 (2) | 2.5 (2) | 2.9 (2) | 3.6 (2) | 4.2 (2) | 15/15 |
| IPOPsaACM loshchilov | 1.4 (1) | 3.0 (4) | 6.7 (5) | 23 (11) | 38 (12) | 38 (12) | 37 (12) | 15/15 |
| JADE posik | 1.3 (1) | 4.5 (9) | 2.7 (4) | 3.0 (4) | 3.2 (3) | 3.6 (4) | 3.8 (3) | 15/15 |
| JADEb posik | 1.8 (2) | 8.1 (7) | 10 (16) | 9.4 (15) | 9.2 (15) | 9.2 (14) | 9.1 (14) | 15/15 |
| JADEctpb posik | 1.3 (1) | 4.5 (9) | 2.7 (4) | 3.0 (4) | 3.2 (3) | 3.6 (4) | 3.8 (3) | 15/15 |
| MVDE melo | 1.2 (1) | 4.2 (3) | 3.1 (2) | 4.7 (3) | 5.9 (5) | 10 (5) | 11 (5) | 15/15 |
| NBIPOPaCMA loshchilov | 2.1 (2) | 11 (13) | 24 (38) | 24 (36) | 23 (35) | 22 (34) | 22 (33) | 15/15 |
| NIPOPaCMA loshchilov | 1.8 (2) | 21 (31) | 193 (284) | 193 (275) | 185 (264) | 182 (258) | 178 (251) | 15/15 |
| PSO-BFGS voglis | 1.5 (2) | 2.5 (4) | 3.7 (5) | 3.6 (5) | 3.5 (4) | 3.5 (4) | 45 (64) | 14/15 |
| SNES schaul | 1.9 (2) | 20 (44) | 18 (26) | 17 (25) | 17 (24) | 16 (23) | 16 (23) | 15/15 |
| xNES schaul | 1.4 (2) | 16 (32) | 36 (50) | 35 (48) | 34 (46) | 33 (45) | 33 (44) | 15/15 |
| xNESas schaul | 1.5 (1) | 43 (84) | 41 (72) | 39 (70) | 38 (67) | 37 (66) | 36 (64) | 15/15 |
| Δ fopt f22, 3-D |
1e1 18 |
1e0 170 |
1e-1 354 |
1e-2 362 |
1e-3 384 |
1e-5 401 |
1e-7 414 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.1 (2) | 141 (297) | 175 (216) | 173 (210) | 165 (198) | 159 (190) | 156 (183) | 15/15 |
| BIPOPaCMA loshchilov | 4.6 (3) | 4.3 (3) | 32 (24) | 32 (24) | 30 (22) | 29 (21) | 28 (20) | 15/15 |
| BIPOPsaACM loshchilov | 2.3 (1) | 4.1 (6) | 11 (25) | 12 (24) | 11 (23) | 11 (22) | 11 (21) | 15/15 |
| CMAES posik | 0.76 (0.7) | 9.5 (10) | 14 (14) | 14 (13) | 13 (13) | 13 (12) | 13 (12) | 15/15 |
| CMA brockhoff | 1.6 (1) | 2.8 (3) | 47 (29) | 232 (320) | 335 (372) | 415 (576) | 481 (939) | 9/15 |
| CMAa brockhoff | 4.6 (3) | 14 (19) | 32 (53) | 137 (176) | 315 (619) | 461 (603) | 447 (502) | 9/15 |
| CMAm brockhoff | 4.1 (3) | 13 (12) | 60 (53) | 74 (119) | 128 (266) | 335 (375) | 325 (364) | 10/15 |
| CMAma brockhoff | 4.8 (5) | 12 (19) | 60 (53) | 189 (395) | 198 (351) | 406 (608) | 395 (545) | 10/15 |
| CMAmah brockhoff | 3.7 (3) | 11 (12) | 24 (42) | 102 (170) | 234 (372) | 288 (509) | 282 (493) | 11/15 |
| CMAmh brockhoff | 3.3 (2) | 3.9 (4) | 17 (26) | 34 (70) | 57 (76) | 175 (258) | 246 (375) | 11/15 |
| DBRCGA chuang | 1.6 (2) | 1.8 (1) | 3.2 (5) | 4.0 (5) | 4.3 (4) | 5.2 (4) | 6.1 (4) | 15/15 |
| DE-AUTO voglis | 1.2 (1) | 16 (15) | 105 (262) | 102 (257) | 96 (242) | 93 (232) | 91 (224) | 15/15 |
| DE-BFGS voglis | 1.0 (0.7) | 3.2 (6) | 2.7 (3) | 2.7 (3) | 2.6 (3) | 2.6 (3) | 19 (29) | 15/15 |
| DE-ROLL voglis | 1.5 (1) | 11 (17) | 90 (74) | 89 (72) | 85 (68) | 87 (69) | 123 (126) | 14/15 |
| DE-SIMPLEX voglis | 1.4 (2) | 18 (25) | 20 (21) | 20 (20) | 18 (19) | 18 (18) | 17 (18) | 15/15 |
| DEAE posik | 1.8 (2) | 3.0 (1) | 4.5 (4) | 5.0 (4) | 4.9 (4) | 5.2 (4) | 5.3 (4) | 15/15 |
| DE posik | 2.0 (2) | 2.1 (1) | 4.5 (9) | 4.8 (8) | 5.2 (8) | 5.7 (8) | 6.2 (8) | 15/15 |
| DEb posik | 2.0 (2) | 2.1 (1) | 4.5 (9) | 4.8 (8) | 5.2 (8) | 5.7 (8) | 6.2 (8) | 15/15 |
| DEctpb posik | 1.7 (2) | 2.2 (2) | 6.8 (10) | 7.9 (11) | 8.0 (10) | 9.2 (9) | 10 (9) | 15/15 |
| IPOPsaACM loshchilov | 1.4 (1) | 5.3 (6) | 17 (29) | 37 (40) | 101 (237) | 100 (227) | 98 (222) | 15/15 |
| JADE posik | 1.5 (2) | 4.5 (9) | 4.4 (4) | 4.8 (5) | 4.8 (5) | 5.3 (4) | 5.8 (5) | 15/15 |
| JADEb posik | 15 (42) | 5.1 (7) | 5.6 (5) | 5.7 (5) | 5.5 (5) | 5.5 (5) | 5.8 (4) | 15/15 |
| JADEctpb posik | 1.5 (2) | 4.5 (9) | 4.4 (4) | 4.8 (5) | 4.8 (5) | 5.3 (4) | 5.8 (5) | 15/15 |
| MVDE melo | 1.1 (0.9) | 2.0 (2) | 2.5 (3) | 5.0 (4) | 6.8 (6) | 11 (5) | 16 (6) | 15/15 |
| NBIPOPaCMA loshchilov | 12 (26) | 21 (35) | 16 (17) | 19 (26) | 18 (25) | 17 (24) | 17 (23) | 15/15 |
| NIPOPaCMA loshchilov | 8.1 (24) | 19 (19) | 207 (209) | 211 (210) | 210 (198) | 205 (197) | 202 (198) | 15/15 |
| PSO-BFGS voglis | 4.5 (7) | 2.2 (2) | 2.7 (4) | 2.7 (4) | 2.5 (3) | 2.7 (3) | 65 (79) | 12/15 |
| SNES schaul | 13 (3) | 25 (35) | 39 (45) | 45 (43) | 50 (42) | 69 (55) | 90 (68) | 15/15 |
| xNES schaul | 18 (2) | 28 (43) | 36 (63) | 37 (62) | 35 (58) | 33 (56) | 33 (54) | 15/15 |
| xNESas schaul | 14 (2) | 29 (31) | 68 (101) | 74 (99) | 70 (93) | 67 (89) | 65 (87) | 15/15 |
| Δ fopt f23, 3-D |
1e1 3.0 |
1e0 407 |
1e-1 906 |
1e-2 1215 |
1e-3 2214 |
1e-5 2293 |
1e-7 2393 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.6 (3) | 19 (15) | 2.2e4 (2e4) | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 4.1 (6) | 4.4 (7) | 5.2 (5) | 4.5 (4) | 2.6 (2) | 2.6 (2) | 2.9 (2) | 15/15 |
| BIPOPsaACM loshchilov | 6.8 (8) | 5.9 (6) | 5.8 (4) | 5.8 (3) | 4.9 (6) | 4.8 (6) | 5.1 (5) | 15/15 |
| CMAES posik | 2.4 (2) | 7.0 (6) | 14 (14) | 12 (10) | 6.5 (6) | 6.8 (9) | 6.6 (8) | 15/15 |
| CMA brockhoff | 4.2 (4) | 8.0 (8) | 13 (17) | 10 (13) | 5.8 (7) | 5.8 (7) | 5.7 (7) | 15/15 |
| CMAa brockhoff | 2.1 (2) | 8.5 (9) | 11 (12) | 8.8 (10) | 4.9 (5) | 5.0 (5) | 5.0 (5) | 15/15 |
| CMAm brockhoff | 4.3 (7) | 5.9 (7) | 113 (333) | 84 (248) | 46 (137) | 45 (132) | 43 (126) | 13/15 |
| CMAma brockhoff | 5.1 (6) | 5.3 (7) | 7.6 (5) | 5.8 (4) | 3.3 (2) | 3.4 (2) | 3.4 (2) | 15/15 |
| CMAmah brockhoff | 4.1 (3) | 5.0 (6) | 60 (17) | 45 (13) | 25 (7) | 24 (7) | 23 (7) | 14/15 |
| CMAmh brockhoff | 4.1 (5) | 13 (15) | 16 (17) | 12 (13) | 6.9 (7) | 8.4 (10) | 8.3 (10) | 15/15 |
| DBRCGA chuang | 3.5 (3) | 9.3 (9) | 102 (104) | 96 (87) | 53 (47) | 52 (46) | 50 (45) | 14/15 |
| DE-AUTO voglis | 2.2 (2) | 2.5 (3) | 4.4 (6) | 3.9 (4) | 2.9 (4) | 2.8 (4) | 2.8 (4) | 15/15 |
| DE-BFGS voglis | 1.9 (2) | 1.9 (2) | 3.4 (2) | 3.6 (3) | 3.1 (4) | 6.1 (7) | 281 (414) | 2/15 |
| DE-ROLL voglis | 3.0 (2) | 3.2 (6) | 17 (22) | 49 (37) | 32 (30) | 33 (28) | 126 (140) | 1/15 |
| DE-SIMPLEX voglis | 1.8 (2) | 0.66 (0.5) | 1.2 (2) | 0.98 (1) | 0.66 (0.6) | 5.9 (4) | 354 (470) | 1/15 |
| DEAE posik | 2.4 (2) | 16 (13) | 64 (40) | 49 (40) | 34 (35) | 33 (34) | 32 (33) | 13/15 |
| DE posik | 3.0 (3) | 20 (16) | 80 (99) | 63 (70) | 35 (39) | 42 (50) | 40 (41) | 11/15 |
| DEb posik | 3.0 (3) | 20 (16) | 80 (86) | 63 (74) | 35 (41) | 42 (35) | 40 (36) | 11/15 |
| DEctpb posik | 3.2 (4) | 21 (13) | 353 (331) | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| IPOPsaACM loshchilov | 4.8 (4) | 7.5 (7) | 11 (10) | 8.0 (7) | 4.5 (4) | 4.5 (4) | 4.4 (4) | 15/15 |
| JADE posik | 2.4 (2) | 10 (6) | 22 (20) | 16 (15) | 10 (9) | 10 (8) | 10 (8) | 15/15 |
| JADEb posik | 2.8 (2) | 7.3 (8) | 25 (22) | 28 (36) | 21 (21) | 21 (20) | 20 (19) | 14/15 |
| JADEctpb posik | 2.4 (2) | 10 (6) | 22 (20) | 16 (15) | 10 (9) | 10 (8) | 10 (8) | 15/15 |
| MVDE melo | 3.6 (4) | 11 (13) | 1018 (1650) | 1.2e4 (1e4) | 6369 (8582) | 6156 (7633) | 5902 (5746) | 1/15 |
| NBIPOPaCMA loshchilov | 4.0 (5) | 4.2 (3) | 4.6 (6) | 3.7 (4) | 2.1 (2) | 2.4 (2) | 3.2 (3) | 15/15 |
| NIPOPaCMA loshchilov | 3.7 (5) | 11 (8) | 10 (10) | 8.6 (7) | 4.8 (4) | 4.9 (4) | 4.9 (4) | 15/15 |
| PSO-BFGS voglis | 3.1 (4) | 1.4 (2) | 4.4 (4) | 6.9 (5) | 8.8 (13) | 88 (131) | ∞3e5 | 0/15 |
| SNES schaul | 3.2 (2) | 13 (18) | 80 (160) | 302 (298) | 380 (448) | 525 (523) | 503 (583) | 3/15 |
| xNES schaul | 3.6 (4) | 16 (16) | 280 (360) | 440 (631) | 328 (370) | 318 (424) | 437 (520) | 3/15 |
| xNESas schaul | 4.3 (6) | 16 (19) | 271 (344) | 229 (229) | 186 (200) | 217 (285) | 256 (294) | 0/15 |
| Δ fopt f24, 3-D |
1e1 97 |
1e0 10391 |
1e-1 1.0e5 |
1e-2 3.6e5 |
1e-3 3.6e5 |
1e-5 3.6e5 |
1e-7 3.6e5 |
#succ 2/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.9 (2) | 341 (508) | 37 (63) | 12 (16) | 12 (17) | 12 (17) | 12 (13) | 13/15 |
| BIPOPaCMA loshchilov | 1.6 (2) | 3.1 (4) | 11 (9) | 4.3 (3) | 4.8 (4) | 4.8 (5) | 5.7 (6) | 12/15 |
| BIPOPsaACM loshchilov | 1.6 (1) | 6.8 (10) | 7.2 (9) | 5.6 (5) | 5.6 (6) | 5.7 (5) | 5.9 (8) | 11/15 |
| CMAES posik | 3.5 (1) | 3.5 (4) | 6.1 (8) | 2.8 (4) | 2.8 (2) | 2.8 (3) | 2.8 (3) | 2/15 |
| CMA brockhoff | 1.5 (1) | 117 (145) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAa brockhoff | 1.7 (1) | 116 (130) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAm brockhoff | 2.6 (2) | 67 (87) | 38 (66) | 11 (19) | 11 (11) | 11 (13) | 11 (11) | 2/15 |
| CMAma brockhoff | 2.4 (2) | 232 (188) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAmah brockhoff | 1.1 (0.7) | 88 (73) | 38 (59) | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAmh brockhoff | 2.9 (5) | 160 (202) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| DBRCGA chuang | 3.9 (4) | 4.6 (5) | 5.9 (5) | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| DE-AUTO voglis | 26 (42) | 64 (46) | 6.8 (7) | 2.0 (2) | 2.0 (2) | 2.0 (2) | 2.0 (2) | 5/15 |
| DE-BFGS voglis | 2.5 (2) | 8.4 (8) | 0.89 (0.8) | 0.26 (0.2)↑1 | 0.26 (0.2)↑1 | 0.26 (0.2)↑1 | 0.26 (0.2)↑1 | 14/15 |
| DE-ROLL voglis | 33 (56) | 62 (61) | 6.9 (6) | 2.0 (2) | 2.0 (2) | 2.0 (2) | 2.6 (3) | 4/15 |
| DE-SIMPLEX voglis | 3.4 (5) | 21 (46) | 2.2 (4) | 0.65 (0.8) | 0.65 (0.8) | 0.65 (0.8) | 0.65 (1.0) | 10/15 |
| DEAE posik | 2.5 (2) | 3.5 (4) | 2.9 (2) | 2.8 (3) | 2.8 (3) | 2.8 (4) | 2.8 (3) | 2/15 |
| DE posik | 3.2 (3) | 5.3 (6) | 6.6 (7) | 6.3 (7) | 6.3 (4) | 6.3 (7) | 6.3 (7) | 1/15 |
| DEb posik | 3.2 (3) | 5.3 (6) | 6.6 (7) | 6.3 (5) | 6.3 (6) | 6.3 (7) | 6.3 (5) | 1/15 |
| DEctpb posik | 3.0 (2) | 21 (19) | 4.6 (5) | 2.9 (3) | 2.9 (3) | 3.0 (4) | 3.0 (3) | 2/15 |
| IPOPsaACM loshchilov | 2.3 (2) | 402 (448) | 433 (490) | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| JADE posik | 2.7 (2) | 2.2 (3) | 1.1 (1.0) | 0.66 (0.8) | 0.66 (0.7) | 0.66 (0.6) | 0.66 (0.6) | 7/15 |
| JADEb posik | 4.5 (2) | 1.4 (1) | 2.3 (3) | 3.0 (2) | 3.0 (3) | 3.0 (3) | 3.0 (3) | 2/15 |
| JADEctpb posik | 2.7 (2) | 2.2 (3) | 1.1 (2) | 0.66 (1.0) | 0.66 (0.9) | 0.66 (0.9) | 0.66 (0.6) | 7/15 |
| MVDE melo | 4.4 (3) | 1348 (1251) | 137 (117) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.4 (0.7) | 7.1 (16) | 5.9 (7) | 4.3 (7) | 4.3 (5) | 4.3 (6) | 4.3 (7) | 12/15 |
| NIPOPaCMA loshchilov | 3.9 (4) | 35 (68) | 5.6 (7) | 3.7 (6) | 3.9 (5) | 3.9 (5) | 3.9 (6) | 12/15 |
| PSO-BFGS voglis | 1.4 (0.9) | 1.3 (2) | 0.44 (0.4) | 0.24 (0.2)↑0 | 0.24 (0.2)↑0 | 0.24 (0.2)↑0 | 0.24 (0.2)↑0 | 15/15 |
| SNES schaul | 1.9 (2) | 4.0 (4) | 13 (18) | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| xNES schaul | 2.6 (2) | 3.0 (3) | 7.6 (8) | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| xNESas schaul | 1.6 (1) | 4.7 (4) | 29 (28) | 18 (18) | 18 (19) | 18 (22) | 18 (14) | 1/15 |
Previous dimension | Dimension = 5 | Next dimension
| Δ fopt f1, 5-D |
1e1 11 |
1e0 12 |
1e-1 12 |
1e-2 12 |
1e-3 12 |
1e-5 12 |
1e-7 12 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.7 (5) | 15 (3) | 26 (4) | 36 (4) | 47 (6) | 69 (4) | 92 (6) | 15/15 |
| BIPOPaCMA loshchilov | 3.4 (2) | 8.3 (3) | 16 (3) | 22 (4) | 29 (3) | 41 (5) | 54 (5) | 15/15 |
| BIPOPsaACM loshchilov | 2.7 (2) | 6.6 (2) | 8.9 (0.7) | 10 (1) | 12 (1) | 16 (1) | 19 (2) | 15/15 |
| CMAES posik | 2.3 (2) | 8.7 (3) | 15 (5) | 22 (5) | 28 (5) | 41 (4) | 53 (6) | 15/15 |
| CMA brockhoff | 2.6 (3) | 10 (4) | 16 (4) | 21 (4) | 28 (5) | 41 (5) | 55 (6) | 15/15 |
| CMAa brockhoff | 2.5 (2) | 8.2 (4) | 15 (4) | 21 (5) | 26 (5) | 39 (4) | 52 (8) | 15/15 |
| CMAm brockhoff | 2.8 (2) | 7.7 (2) | 12 (3) | 17 (4) | 22 (4) | 31 (5) | 42 (5) | 15/15 |
| CMAma brockhoff | 2.7 (3) | 7.4 (4) | 11 (4) | 17 (3) | 22 (4) | 31 (5) | 40 (7) | 15/15 |
| CMAmah brockhoff | 1.7 (1) | 5.0 (1) | 8.2 (2) | 12 (2) | 16 (2) | 24 (2) | 31 (4) | 15/15 |
| CMAmh brockhoff | 1.8 (1) | 5.2 (3) | 9.3 (3) | 13 (3) | 17 (3) | 25 (4) | 32 (4) | 15/15 |
| DBRCGA chuang | 5.1 (7) | 50 (33) | 97 (27) | 146 (22) | 201 (21) | 306 (33) | 423 (44) | 15/15 |
| DE-AUTO voglis | 3.3 (2) | 5.9 (0.7) | 6.0 (0.3) | 6.1 (0.2) | 6.1 (0.2) | 6.1 (0.2) | 6.1 (0.2) | 15/15 |
| DE-BFGS voglis | 3.3 (2) | 5.0 (0.2) | 5.0 (0.2) | 5.0 (0.2) | 5.0 (0.2) | 5.0 (0.2) | 5.0 (0.2) | 15/15 |
| DE-ROLL voglis | 3.3 (2) | 18 (21) | 19 (22) | 19 (22) | 19 (22) | 19 (21) | 19 (21) | 15/15 |
| DE-SIMPLEX voglis | 2.8 (3) | 6.8 (2) | 10 (5) | 12 (4) | 15 (3) | 19 (2) | 23 (3) | 15/15 |
| DEAE posik | 5.1 (6) | 23 (10) | 43 (10) | 65 (9) | 83 (6) | 126 (8) | 169 (9) | 15/15 |
| DE posik | 5.0 (4) | 21 (8) | 39 (8) | 61 (11) | 83 (8) | 124 (9) | 167 (8) | 15/15 |
| DEb posik | 5.0 (4) | 21 (8) | 39 (8) | 61 (11) | 83 (8) | 124 (9) | 167 (8) | 15/15 |
| DEctpb posik | 5.8 (5) | 26 (9) | 46 (9) | 70 (12) | 93 (10) | 141 (12) | 186 (13) | 15/15 |
| IPOPsaACM loshchilov | 3.0 (2) | 7.0 (2) | 8.8 (0.9) | 10 (1) | 12 (2) | 15 (2) | 18 (1) | 15/15 |
| JADE posik | 4.1 (3) | 18 (6) | 37 (7) | 57 (8) | 78 (7) | 117 (11) | 157 (11) | 15/15 |
| JADEb posik | 3.4 (3) | 14 (6) | 27 (5) | 36 (4) | 51 (6) | 77 (7) | 105 (10) | 15/15 |
| JADEctpb posik | 4.1 (3) | 18 (6) | 37 (7) | 57 (8) | 78 (7) | 117 (11) | 157 (11) | 15/15 |
| MVDE melo | 6.4 (8) | 46 (20) | 104 (13) | 160 (21) | 224 (20) | 334 (26) | 458 (21) | 15/15 |
| NBIPOPaCMA loshchilov | 2.4 (2) | 8.5 (3) | 15 (2) | 21 (3) | 28 (4) | 39 (3) | 51 (4) | 15/15 |
| NIPOPaCMA loshchilov | 2.7 (2) | 7.5 (3) | 14 (3) | 20 (4) | 26 (3) | 37 (2) | 51 (4) | 15/15 |
| PSO-BFGS voglis | 3.1 (3) | 5.2 (0.2) | 5.2 (0.2) | 5.2 (0.2) | 5.2 (0.2) | 5.2 (0.2) | 5.2 (0.2) | 15/15 |
| SNES schaul | 4.3 (3) | 8.0 (3) | 15 (5) | 24 (4) | 34 (5) | 51 (4) | 69 (5) | 15/15 |
| xNES schaul | 3.0 (3) | 6.4 (4) | 21 (3) | 34 (10) | 50 (6) | 82 (8) | 111 (7) | 15/15 |
| xNESas schaul | 2.9 (2) | 6.7 (3) | 16 (6) | 28 (8) | 38 (8) | 61 (12) | 79 (17) | 15/15 |
| Δ fopt f2, 5-D |
1e1 83 |
1e0 87 |
1e-1 88 |
1e-2 89 |
1e-3 90 |
1e-5 92 |
1e-7 94 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.1 (0.6) | 7.5 (0.6) | 8.7 (0.8) | 10 (0.9) | 12 (1) | 14 (0.8) | 17 (1) | 15/15 |
| BIPOPaCMA loshchilov | 10 (3) | 12 (3) | 13 (1) | 14 (1) | 15 (2) | 16 (1) | 18 (1) | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (0.7) | 3.5 (0.7) | 3.7 (0.5) | 3.9 (0.7) | 4.1 (0.7) | 4.6 (0.6) | 4.9 (0.6) | 15/15 |
| CMAES posik | 16 (4) | 17 (3) | 18 (3) | 19 (2) | 20 (2) | 21 (2) | 22 (2) | 15/15 |
| CMA brockhoff | 14 (4) | 16 (4) | 17 (4) | 19 (3) | 20 (3) | 22 (3) | 23 (2) | 15/15 |
| CMAa brockhoff | 11 (3) | 12 (2) | 13 (2) | 14 (2) | 14 (1) | 16 (2) | 17 (1) | 15/15 |
| CMAm brockhoff | 13 (6) | 16 (4) | 17 (4) | 18 (3) | 19 (2) | 20 (1) | 21 (1.0) | 15/15 |
| CMAma brockhoff | 11 (3) | 13 (3) | 14 (2) | 15 (1) | 15 (2) | 16 (2) | 17 (1) | 15/15 |
| CMAmah brockhoff | 13 (3) | 15 (3) | 15 (2) | 16 (2) | 16 (2) | 17 (2) | 17 (2) | 15/15 |
| CMAmh brockhoff | 16 (5) | 18 (4) | 21 (3) | 21 (2) | 21 (2) | 22 (2) | 23 (2) | 15/15 |
| DBRCGA chuang | 27 (4) | 33 (4) | 41 (5) | 47 (5) | 54 (6) | 67 (6) | 81 (6) | 15/15 |
| DE-AUTO voglis | 1.4 (0.2) | 1.5 (0.2) | 1.6 (0.4) | 1.6 (0.4) | 1.8 (0.4) | 1.9 (0.5) | 2.1 (0.5) | 15/15 |
| DE-BFGS voglis | 1.4 (0.3) | 1.4 (0.3) | 1.6 (0.3) | 1.6 (0.3) | 1.7 (0.3) | 1.9 (0.3) | 2.0 (0.3) | 15/15 |
| DE-ROLL voglis | 5.1 (6) | 5.3 (6) | 5.4 (6) | 5.5 (6) | 5.5 (6) | 5.8 (6) | 5.9 (6) | 15/15 |
| DE-SIMPLEX voglis | 6.1 (4) | 10 (7) | 11 (7) | 11 (7) | 11 (7) | 12 (6) | 12 (6) | 15/15 |
| DEAE posik | 12 (3) | 14 (2) | 17 (3) | 19 (4) | 22 (3) | 27 (3) | 32 (3) | 15/15 |
| DE posik | 11 (1) | 13 (2) | 16 (2) | 18 (1) | 21 (2) | 27 (2) | 31 (2) | 15/15 |
| DEb posik | 11 (1) | 13 (2) | 16 (2) | 18 (1) | 21 (2) | 27 (2) | 31 (2) | 15/15 |
| DEctpb posik | 13 (1.0) | 16 (1) | 19 (2) | 21 (2) | 24 (2) | 30 (2) | 35 (2) | 15/15 |
| IPOPsaACM loshchilov | 3.6 (1) | 3.7 (0.8) | 4.1 (0.8) | 4.4 (0.8) | 4.6 (1.0) | 5.0 (0.9) | 5.3 (0.9) | 15/15 |
| JADE posik | 10 (2) | 12 (2) | 15 (2) | 18 (2) | 20 (2) | 26 (2) | 31 (2) | 15/15 |
| JADEb posik | 6.8 (1) | 8.5 (2) | 10 (2) | 12 (2) | 14 (2) | 18 (2) | 22 (3) | 15/15 |
| JADEctpb posik | 10 (2) | 12 (2) | 15 (2) | 18 (2) | 20 (2) | 26 (2) | 31 (2) | 15/15 |
| MVDE melo | 27 (3) | 34 (4) | 43 (2) | 49 (2) | 56 (4) | 70 (4) | 84 (3) | 15/15 |
| NBIPOPaCMA loshchilov | 11 (3) | 12 (3) | 14 (2) | 15 (2) | 15 (2) | 17 (2) | 18 (2) | 15/15 |
| NIPOPaCMA loshchilov | 10 (3) | 12 (2) | 13 (2) | 14 (2) | 14 (2) | 16 (2) | 17 (2) | 15/15 |
| PSO-BFGS voglis | 1.7 (0.7) | 1.7 (0.7) | 1.8 (0.7) | 1.9 (0.7) | 1.9 (0.7) | 2.1 (0.7) | 2.3 (0.8) | 15/15 |
| SNES schaul | 5.0 (1) | 5.9 (0.9) | 7.0 (0.9) | 8.1 (0.6) | 9.2 (0.6) | 11 (0.6) | 13 (0.6) | 15/15 |
| xNES schaul | 8.7 (2) | 11 (2) | 12 (1) | 14 (2) | 16 (1) | 20 (1) | 23 (1) | 15/15 |
| xNESas schaul | 11 (5) | 14 (9) | 19 (18) | 25 (32) | 39 (62) | 43 (63) | 49 (93) | 15/15 |
| Δ fopt f3, 5-D |
1e1 716 |
1e0 1622 |
1e-1 1637 |
1e-2 1642 |
1e-3 1646 |
1e-5 1650 |
1e-7 1654 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.7 (0.8) | 30 (38) | 241 (167) | 240 (166) | 240 (166) | 239 (165) | 239 (165) | 15/15 |
| BIPOPaCMA loshchilov | 1.6 (2) | 12 (11) | 190 (397) | 190 (396) | 190 (395) | 190 (394) | 189 (393) | 15/15 |
| BIPOPsaACM loshchilov | 1.1 (1.0) | 5.3 (5) | 264 (474) | 264 (473) | 263 (472) | 263 (470) | 264 (464) | 15/15 |
| CMAES posik | 1.7 (2) | 23 (26) | 293 (382) | 292 (477) | 292 (255) | 291 (406) | 290 (278) | 6/15 |
| CMA brockhoff | 1.4 (2) | 7.9 (6) | 718 (856) | 716 (825) | 715 (731) | 713 (725) | 712 (725) | 6/15 |
| CMAa brockhoff | 0.91 (0.6) | 30 (7) | 1333 (1450) | 1329 (1552) | 1326 (2491) | 1324 (1778) | 1321 (1770) | 4/15 |
| CMAm brockhoff | 1.1 (1) | 7.0 (10) | 960 (1619) | 957 (1210) | 955 (1530) | 953 (866) | 951 (1122) | 5/15 |
| CMAma brockhoff | 0.74 (1) | 39 (10) | 556 (691) | 555 (482) | 554 (852) | 553 (708) | 552 (467) | 7/15 |
| CMAmah brockhoff | 2.4 (2) | 5.9 (6) | 3146 (3266) | 3136 (2802) | 3129 (3848) | 3121 (2750) | 3114 (4697) | 2/15 |
| CMAmh brockhoff | 1.7 (2) | 100 (220) | 1004 (1157) | 1001 (1926) | 999 (1200) | 997 (1248) | 995 (1095) | 5/15 |
| DBRCGA chuang | 2.3 (1.0) | 8.0 (4) | 11 (6) | 11 (6) | 11 (6) | 12 (6) | 12 (6) | 15/15 |
| DE-AUTO voglis | 1.3 (1) | 11 (5) | 21 (9) | 20 (9) | 20 (9) | 20 (9) | 20 (9) | 15/15 |
| DE-BFGS voglis | 2.0 (1) | 3.7 (3) | 7.7 (5) | 7.6 (5) | 7.6 (5) | 7.6 (5) | 7.6 (5) | 15/15 |
| DE-ROLL voglis | 2.2 (1) | 4.4 (2) | 6.6 (4) | 6.6 (4) | 6.6 (4) | 6.6 (4) | 6.6 (4) | 15/15 |
| DE-SIMPLEX voglis | 4.1 (3) | 10 (8) | 19 (13) | 19 (14) | 19 (14) | 19 (14) | 19 (13) | 15/15 |
| DEAE posik | 2.4 (1) | 11 (11) | 70 (80) | 70 (79) | 70 (81) | 70 (93) | 70 (102) | 13/15 |
| DE posik | 1.1 (0.4) | 1.4 (0.2) | 2.5 (2) | 2.7 (2) | 2.8 (2) | 3.1 (2) | 3.4 (2) | 15/15 |
| DEb posik | 1.1 (0.4) | 1.4 (0.2) | 2.5 (2) | 2.7 (2) | 2.8 (2) | 3.1 (2) | 3.4 (2) | 15/15 |
| DEctpb posik | 1.3 (0.5) | 2.1 (0.7) | 2.5 (0.5) | 2.9 (0.5) | 3.2 (0.5) | 3.6 (0.5) | 3.9 (0.4) | 15/15 |
| IPOPsaACM loshchilov | 1.1 (1) | 30 (90) | 1790 (2123) | 1785 (2417) | 1780 (2394) | 1776 (2551) | 1772 (2013) | 12/15 |
| JADE posik | 1.1 (0.5) | 1.6 (0.3) | 2.2 (0.4) | 2.5 (0.3) | 2.7 (0.3) | 3.0 (0.3) | 3.4 (0.3) | 15/15 |
| JADEb posik | 0.80 (0.2)↑1 | 1.9 (2) | 6.6 (7) | 6.7 (7) | 6.8 (7) | 7.1 (7) | 7.3 (7) | 15/15 |
| JADEctpb posik | 1.1 (0.5) | 1.6 (0.3) | 2.2 (0.4) | 2.5 (0.3) | 2.7 (0.3) | 3.0 (0.3) | 3.4 (0.3) | 15/15 |
| MVDE melo | 2.2 (0.6) | 2.4 (0.3) | 2.9 (0.2) | 3.4 (0.3) | 3.8 (0.2) | 4.6 (0.2) | 5.5 (0.2) | 15/15 |
| NBIPOPaCMA loshchilov | 0.87 (0.3) | 13 (18) | 473 (727) | 472 (725) | 471 (723) | 471 (722) | 470 (720) | 15/15 |
| NIPOPaCMA loshchilov | 1.4 (1) | 29 (12) | 799 (1357) | 797 (1352) | 795 (1349) | 793 (1346) | 792 (1342) | 15/15 |
| PSO-BFGS voglis | 9.4 (10) | 26 (38) | 121 (159) | 120 (148) | 120 (171) | 120 (172) | 120 (150) | 13/15 |
| SNES schaul | 4.4 (7) | 91 (146) | 785 (728) | 783 (689) | 781 (922) | 779 (704) | 777 (942) | 8/15 |
| xNES schaul | 3.0 (1) | 92 (114) | 415 (417) | 413 (577) | 412 (407) | 412 (870) | 411 (422) | 9/15 |
| xNESas schaul | 1.5 (0.7) | 69 (80) | 454 (362) | 453 (396) | 452 (489) | 451 (450) | 450 (418) | 13/15 |
| Δ fopt f4, 5-D |
1e1 809 |
1e0 1633 |
1e-1 1688 |
1e-2 1758 |
1e-3 1817 |
1e-5 1886 |
1e-7 1903 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.0 (1) | 784 (1075) | 2.5e4 (4e4) | 2.4e4 (3e4) | 2.3e4 (2e4) | 2.2e4 (2e4) | 2.2e4 (3e4) | 3/15 |
| BIPOPaCMA loshchilov | 1.6 (1) | 1.4e4 (1e4) | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| BIPOPsaACM loshchilov | 1.3 (0.9) | 6336 (3955) | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| CMAES posik | 2.2 (1) | 216 (144) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| CMA brockhoff | 2.7 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞9e5 | 0/15 |
| CMAa brockhoff | 1.7 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞9e5 | 0/15 |
| CMAm brockhoff | 2.9 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞9e5 | 0/15 |
| CMAma brockhoff | 1.7 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞9e5 | 0/15 |
| CMAmah brockhoff | 2.5 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞9e5 | 0/15 |
| CMAmh brockhoff | 1.8 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞9e5 | 0/15 |
| DBRCGA chuang | 2.6 (1) | 11 (7) | 17 (10) | 16 (10) | 16 (10) | 16 (9) | 16 (9) | 15/15 |
| DE-AUTO voglis | 1.8 (2) | 16 (9) | 28 (22) | 27 (21) | 26 (21) | 25 (20) | 25 (20) | 15/15 |
| DE-BFGS voglis | 3.8 (2) | 9.0 (6) | 20 (17) | 19 (16) | 19 (15) | 18 (15) | 18 (15) | 15/15 |
| DE-ROLL voglis | 1.6 (2) | 4.7 (3) | 11 (10) | 11 (9) | 10 (9) | 10 (9) | 10 (8) | 15/15 |
| DE-SIMPLEX voglis | 6.8 (3) | 14 (7) | 24 (16) | 23 (15) | 23 (14) | 22 (14) | 22 (14) | 15/15 |
| DEAE posik | 4.1 (3) | 47 (26) | 323 (359) | 310 (325) | 300 (307) | 290 (280) | 287 (197) | 6/15 |
| DE posik | 1.2 (0.3) | 1.7 (0.3) | 9.4 (14) | 9.2 (14) | 9.0 (13) | 9.0 (13) | 9.2 (13) | 15/15 |
| DEb posik | 1.2 (0.3) | 1.7 (0.3) | 9.4 (14) | 9.2 (14) | 9.0 (13) | 9.0 (13) | 9.2 (13) | 15/15 |
| DEctpb posik | 1.4 (0.4) | 2.6 (0.4) | 4.9 (3) | 5.1 (3) | 5.2 (3) | 5.4 (3) | 5.7 (3) | 15/15 |
| IPOPsaACM loshchilov | 1.0 (0.8) | 4.3e4 (5e4) | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| JADE posik | 1.4 (0.4) | 2.0 (0.5) | 3.9 (3) | 4.1 (3) | 4.1 (3) | 4.4 (3) | 4.7 (3) | 15/15 |
| JADEb posik | 0.80 (0.4) | 4.7 (5) | 25 (28) | 24 (27) | 24 (26) | 23 (25) | 23 (25) | 15/15 |
| JADEctpb posik | 1.4 (0.4) | 2.0 (0.5) | 3.9 (3) | 4.1 (3) | 4.1 (3) | 4.4 (3) | 4.7 (3) | 15/15 |
| MVDE melo | 2.4 (0.4) | 3.0 (0.6) | 95 (296) | 91 (284) | 89 (275) | 86 (265) | 86 (263) | 13/15 |
| NBIPOPaCMA loshchilov | 1.7 (1) | 738 (708) | 3819 (4160) | 3667 (3263) | 3548 (2170) | 3418 (3088) | 3388 (3033) | 9/15 |
| NIPOPaCMA loshchilov | 2.8 (3) | 2.2e4 (2e4) | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| PSO-BFGS voglis | 14 (12) | 120 (118) | 410 (567) | 394 (373) | 381 (372) | 367 (325) | 364 (593) | 7/15 |
| SNES schaul | 3.2 (6) | 443 (383) | 3934 (4186) | 3777 (2587) | 3654 (4736) | 3521 (2692) | 3490 (4808) | 2/15 |
| xNES schaul | 4.5 (6) | 599 (561) | 5871 (8302) | 5637 (3941) | 5454 (6886) | 5255 (4568) | 5208 (4892) | 1/15 |
| xNESas schaul | 3.8 (5) | 381 (423) | 9998 (1e4) | 9600 (1e4) | 9288 (9478) | 8949 (1e4) | 8869 (1e4) | 1/15 |
| Δ fopt f5, 5-D |
1e1 10 |
1e0 10 |
1e-1 10 |
1e-2 10 |
1e-3 10 |
1e-5 10 |
1e-7 10 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 8.5 (1) | 12 (2) | 13 (3) | 13 (3) | 13 (3) | 13 (3) | 13 (3) | 15/15 |
| BIPOPaCMA loshchilov | 5.7 (3) | 6.9 (3) | 6.9 (3) | 6.9 (3) | 6.9 (3) | 6.9 (3) | 6.9 (3) | 15/15 |
| BIPOPsaACM loshchilov | 4.7 (2) | 5.8 (2) | 6.2 (3) | 6.2 (3) | 6.2 (3) | 6.2 (3) | 6.2 (3) | 15/15 |
| CMAES posik | 4.3 (2) | 5.8 (2) | 5.8 (2) | 5.9 (2) | 5.9 (2) | 5.9 (2) | 5.9 (2) | 15/15 |
| CMA brockhoff | 4.4 (2) | 6.5 (2) | 6.7 (2) | 6.7 (2) | 6.7 (2) | 6.7 (2) | 6.7 (2) | 15/15 |
| CMAa brockhoff | 4.2 (2) | 6.0 (2) | 6.3 (2) | 6.4 (2) | 6.4 (2) | 6.4 (2) | 6.4 (2) | 15/15 |
| CMAm brockhoff | 3.9 (2) | 5.1 (2) | 5.3 (1) | 5.4 (1) | 5.4 (1) | 5.4 (1) | 5.4 (1) | 15/15 |
| CMAma brockhoff | 3.4 (0.8) | 4.7 (1) | 4.8 (2) | 4.8 (2) | 4.8 (2) | 4.8 (2) | 4.8 (2) | 15/15 |
| CMAmah brockhoff | 3.3 (2) | 4.2 (2) | 4.7 (2) | 4.8 (2) | 4.8 (2) | 4.8 (2) | 4.8 (2) | 15/15 |
| CMAmh brockhoff | 2.9 (1) | 3.9 (0.9) | 4.0 (1) | 4.1 (1) | 4.1 (1) | 4.1 (1) | 4.1 (1) | 15/15 |
| DBRCGA chuang | 31 (33) | 50 (38) | 54 (40) | 54 (40) | 54 (40) | 54 (40) | 54 (40) | 15/15 |
| DE-AUTO voglis | 5.8 (0.4) | 6.3 (0.4) | 6.4 (0.3) | 6.4 (0.3) | 6.4 (0.3) | 6.4 (0.3) | 6.4 (0.3) | 15/15 |
| DE-BFGS voglis | 6.5 (2) | 8.8 (3) | 9.0 (2) | 9.0 (2) | 9.0 (2) | 9.0 (2) | 9.0 (2) | 15/15 |
| DE-ROLL voglis | 5.9 (0.3) | 6.4 (0.4) | 6.5 (0.4) | 6.6 (0.5) | 6.7 (0.5) | 6.9 (0.5) | 7.1 (0.5) | 15/15 |
| DE-SIMPLEX voglis | 29 (13) | 122 (119) | 266 (171) | 322 (104) | 324 (99) | 336 (123) | 369 (138) | 15/15 |
| DEAE posik | 8.0 (4) | 12 (7) | 13 (7) | 13 (7) | 13 (7) | 13 (7) | 13 (7) | 15/15 |
| DE posik | 8.3 (3) | 12 (4) | 12 (3) | 13 (3) | 13 (3) | 13 (3) | 13 (3) | 15/15 |
| DEb posik | 8.3 (3) | 12 (4) | 12 (3) | 13 (3) | 13 (3) | 13 (3) | 13 (3) | 15/15 |
| DEctpb posik | 11 (5) | 16 (4) | 17 (4) | 18 (2) | 18 (2) | 18 (2) | 18 (2) | 15/15 |
| IPOPsaACM loshchilov | 4.3 (3) | 6.1 (3) | 6.2 (3) | 6.3 (2) | 6.3 (2) | 6.3 (2) | 6.3 (2) | 15/15 |
| JADE posik | 11 (6) | 20 (8) | 21 (7) | 21 (7) | 21 (7) | 21 (7) | 21 (7) | 15/15 |
| JADEb posik | 8.4 (4) | 14 (4) | 15 (4) | 15 (4) | 15 (4) | 15 (4) | 15 (4) | 15/15 |
| JADEctpb posik | 11 (6) | 20 (8) | 21 (7) | 21 (7) | 21 (7) | 21 (7) | 21 (7) | 15/15 |
| MVDE melo | 48 (10) | 90 (16) | 99 (20) | 101 (20) | 101 (20) | 101 (20) | 101 (20) | 15/15 |
| NBIPOPaCMA loshchilov | 4.2 (2) | 5.6 (2) | 5.9 (2) | 5.9 (2) | 5.9 (2) | 5.9 (2) | 5.9 (2) | 15/15 |
| NIPOPaCMA loshchilov | 4.1 (2) | 5.9 (3) | 6.1 (3) | 6.1 (3) | 6.1 (3) | 6.1 (3) | 6.1 (3) | 15/15 |
| PSO-BFGS voglis | 6.8 (0.3) | 8.8 (0.3) | 8.8 (0.6) | 8.8 (0.6) | 8.9 (0.6) | 8.9 (0.6) | 8.9 (0.6) | 15/15 |
| SNES schaul | 7.8 (3) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 15/15 |
| xNES schaul | 9.5 (4) | 15 (6) | 15 (6) | 16 (6) | 16 (6) | 16 (6) | 16 (6) | 15/15 |
| xNESas schaul | 10 (4) | 15 (9) | 16 (9) | 16 (8) | 16 (8) | 16 (8) | 16 (8) | 15/15 |
| Δ fopt f6, 5-D |
1e1 114 |
1e0 214 |
1e-1 281 |
1e-2 404 |
1e-3 580 |
1e-5 1038 |
1e-7 1332 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.4 (1) | 3.6 (0.8) | 4.1 (0.9) | 3.9 (0.5) | 3.4 (0.4) | 2.6 (0.4) | 2.7 (0.3) | 15/15 |
| BIPOPaCMA loshchilov | 2.0 (1) | 1.9 (0.8) | 2.2 (0.5) | 1.9 (0.4) | 1.6 (0.3) | 1.2 (0.2) | 1.2 (0.1) | 15/15 |
| BIPOPsaACM loshchilov | 1.9 (0.7) | 1.8 (0.6) | 2.1 (0.9) | 1.9 (0.6) | 1.8 (0.9) | 1.3 (0.5) | 1.4 (0.5) | 15/15 |
| CMAES posik | 2.4 (0.7) | 2.0 (0.5) | 2.2 (0.5) | 2.0 (0.4) | 1.7 (0.4) | 1.3 (0.3) | 1.3 (0.2) | 15/15 |
| CMA brockhoff | 2.5 (0.9) | 2.1 (0.4) | 2.2 (0.3) | 2.0 (0.3) | 1.7 (0.2) | 1.3 (0.1) | 1.2 (0.1) | 15/15 |
| CMAa brockhoff | 2.0 (0.6) | 1.9 (0.4) | 2.0 (0.3) | 1.7 (0.2) | 1.5 (0.2) | 1.2 (0.1) | 1.1 (0.1) | 15/15 |
| CMAm brockhoff | 2.2 (1) | 2.0 (0.8) | 2.1 (0.6) | 1.9 (0.5) | 1.7 (0.5) | 1.3 (0.2) | 1.3 (0.2) | 15/15 |
| CMAma brockhoff | 2.4 (1) | 2.1 (0.9) | 2.2 (0.9) | 1.9 (0.7) | 1.6 (0.4) | 1.2 (0.2) | 1.2 (0.2) | 15/15 |
| CMAmah brockhoff | 1.7 (1.0) | 1.5 (0.5) | 1.7 (0.5) | 1.5 (0.4) | 1.3 (0.4) | 0.94 (0.3) | 0.92 (0.2) | 15/15 |
| CMAmh brockhoff | 1.8 (0.9) | 1.7 (0.8) | 1.8 (0.9) | 1.7 (0.5) | 1.5 (0.4) | 1.1 (0.2) | 1.1 (0.2) | 15/15 |
| DBRCGA chuang | 7.4 (3) | 10 (3) | 12 (4) | 12 (3) | 10 (2) | 8.0 (2) | 8.2 (1) | 15/15 |
| DE-AUTO voglis | 1.3 (0.7) | 1.0 (0.4) | 1.00 (0.3) | 0.83 (0.2) | 0.79 (0.4) | 0.73 (0.4) | 0.79 (0.2) | 15/15 |
| DE-BFGS voglis | 5.1 (2) | 3.0 (1) | 2.5 (0.9) | 2.0 (0.7) | 1.5 (0.6) | 1.3 (2) | 2.8 (3) | 15/15 |
| DE-ROLL voglis | 13 (19) | 13 (19) | 19 (27) | 15 (19) | 18 (23) | 13 (20) | 53 (66) | 14/15 |
| DE-SIMPLEX voglis | 5.5 (9) | 5.6 (5) | 6.2 (4) | 5.6 (6) | 5.6 (5) | 5.9 (6) | 12 (12) | 15/15 |
| DEAE posik | 3.7 (2) | 4.8 (1) | 5.7 (0.9) | 5.2 (0.9) | 4.6 (0.5) | 3.8 (0.4) | 3.9 (0.3) | 15/15 |
| DE posik | 5.4 (1) | 6.6 (2) | 8.4 (2) | 8.6 (2) | 8.0 (2) | 6.3 (1) | 6.7 (2) | 15/15 |
| DEb posik | 5.4 (1) | 6.6 (2) | 8.4 (2) | 8.6 (2) | 8.0 (2) | 6.3 (1) | 6.7 (2) | 15/15 |
| DEctpb posik | 6.0 (3) | 6.6 (1) | 8.2 (2) | 7.9 (1) | 6.9 (1) | 5.6 (1) | 5.8 (1.0) | 15/15 |
| IPOPsaACM loshchilov | 2.3 (1) | 2.1 (0.9) | 2.6 (1) | 2.4 (1) | 1.9 (0.8) | 1.5 (0.5) | 1.7 (0.7) | 15/15 |
| JADE posik | 4.1 (2) | 4.5 (1.0) | 5.4 (0.9) | 5.0 (0.8) | 4.4 (0.5) | 3.6 (0.4) | 3.7 (0.5) | 15/15 |
| JADEb posik | 2.6 (1) | 3.4 (1) | 4.5 (1) | 4.6 (1.0) | 4.4 (0.9) | 3.7 (0.9) | 4.0 (2) | 15/15 |
| JADEctpb posik | 4.1 (2) | 4.5 (1.0) | 5.4 (0.9) | 5.0 (0.8) | 4.4 (0.5) | 3.6 (0.4) | 3.7 (0.5) | 15/15 |
| MVDE melo | 6.5 (3) | 13 (4) | 18 (4) | 20 (4) | 21 (4) | 21 (8) | 25 (8) | 15/15 |
| NBIPOPaCMA loshchilov | 2.1 (1) | 1.9 (0.6) | 2.0 (0.6) | 1.8 (0.3) | 1.5 (0.3) | 1.1 (0.2) | 1.1 (0.2) | 15/15 |
| NIPOPaCMA loshchilov | 2.0 (0.8) | 1.7 (0.5) | 1.9 (0.3) | 1.7 (0.3) | 1.5 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| PSO-BFGS voglis | 6.4 (9) | 3.8 (5) | 3.1 (4) | 2.4 (3) | 1.9 (2) | 1.5 (2) | 54 (98) | 11/15 |
| SNES schaul | 1.5 (1) | 1.7 (0.6) | 2.2 (0.5) | 2.2 (0.5) | 2.0 (0.6) | 10 (15) | 23 (51) | 15/15 |
| xNES schaul | 1.6 (1) | 2.0 (0.5) | 2.5 (0.3) | 2.4 (0.3) | 2.2 (0.3) | 1.8 (0.1) | 1.8 (0.1) | 15/15 |
| xNESas schaul | 1.5 (1) | 2.1 (0.6) | 2.4 (0.6) | 2.3 (0.4) | 2.0 (0.2) | 1.5 (0.2) | 1.6 (0.2) | 15/15 |
| Δ fopt f7, 5-D |
1e1 24 |
1e0 324 |
1e-1 1171 |
1e-2 1451 |
1e-3 1572 |
1e-5 1572 |
1e-7 1597 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.4 (3) | 2.1 (1) | 32 (25) | 26 (20) | 25 (18) | 25 (18) | 25 (18) | 15/15 |
| BIPOPaCMA loshchilov | 6.8 (4) | 1.3 (1) | 1.0 (0.9) | 0.98 (0.8) | 0.93 (0.7) | 0.93 (0.7) | 0.95 (0.7) | 15/15 |
| BIPOPsaACM loshchilov | 4.4 (3) | 1.4 (1) | 0.83 (0.5) | 0.88 (0.8) | 0.91 (0.7) | 0.91 (0.7) | 0.93 (0.7) | 15/15 |
| CMAES posik | 5.0 (3) | 1.1 (0.9) | 2.0 (2) | 2.1 (2) | 2.6 (3) | 2.6 (3) | 2.6 (3) | 15/15 |
| CMA brockhoff | 4.7 (3) | 1.5 (1) | 0.88 (0.4) | 0.89 (0.5) | 0.92 (0.7) | 0.92 (0.7) | 0.94 (0.7) | 15/15 |
| CMAa brockhoff | 7.2 (3) | 1.1 (1) | 0.88 (0.6) | 0.79 (0.5) | 0.77 (0.5) | 0.77 (0.5) | 0.79 (0.5) | 15/15 |
| CMAm brockhoff | 3.8 (2) | 1.1 (1.0) | 1.3 (1) | 1.4 (1) | 1.3 (1) | 1.3 (1) | 1.4 (1) | 15/15 |
| CMAma brockhoff | 5.0 (3) | 1.4 (1) | 0.84 (0.6) | 0.80 (0.5) | 0.76 (0.5) | 0.76 (0.5) | 0.82 (0.5) | 15/15 |
| CMAmah brockhoff | 3.9 (3) | 1.5 (1) | 1.4 (0.7) | 1.3 (0.6) | 1.2 (0.6) | 1.2 (0.6) | 1.2 (0.6) | 15/15 |
| CMAmh brockhoff | 4.5 (4) | 2.1 (2) | 1.4 (0.9) | 1.5 (0.7) | 1.4 (0.6) | 1.4 (0.6) | 1.4 (0.7) | 15/15 |
| DBRCGA chuang | 16 (14) | 4.1 (2) | 4.9 (6) | 5.7 (5) | 7.9 (7) | 7.9 (7) | 8.0 (8) | 15/15 |
| DE-AUTO voglis | 40 (63) | 13 (10) | 6.9 (3) | 8.1 (3) | 9.1 (3) | 9.1 (3) | 14 (9) | 15/15 |
| DE-BFGS voglis | 8.8 (5) | 3.4 (5) | 10 (22) | 9.0 (18) | 9.2 (17) | 9.2 (17) | 41 (64) | 10/15 |
| DE-ROLL voglis | 29 (39) | 11 (11) | 8.4 (7) | 8.3 (6) | 8.3 (5) | 8.3 (5) | 8.5 (5) | 15/15 |
| DE-SIMPLEX voglis | 10 (11) | 7.9 (7) | 5.1 (7) | 4.6 (6) | 4.7 (5) | 4.7 (5) | 4.9 (5) | 15/15 |
| DEAE posik | 7.7 (5) | 1.4 (0.4) | 0.68 (0.1)↑0 | 0.83 (0.2) | 0.87 (0.2) | 0.87 (0.2) | 0.94 (0.2) | 15/15 |
| DE posik | 12 (11) | 3.4 (2) | 1.9 (0.6) | 2.5 (0.7) | 2.5 (0.7) | 2.5 (0.7) | 2.7 (0.8) | 15/15 |
| DEb posik | 12 (11) | 3.4 (2) | 1.9 (0.6) | 2.5 (0.7) | 2.5 (0.7) | 2.5 (0.7) | 2.7 (0.8) | 15/15 |
| DEctpb posik | 10 (7) | 3.3 (1) | 2.1 (0.9) | 2.7 (0.9) | 2.7 (0.8) | 2.7 (0.8) | 3.0 (0.9) | 15/15 |
| IPOPsaACM loshchilov | 3.7 (2) | 1.2 (1) | 0.68 (0.5) | 0.70 (0.9) | 0.77 (0.9) | 0.77 (0.9) | 0.90 (0.9) | 15/15 |
| JADE posik | 8.2 (5) | 2.0 (0.7) | 1.3 (0.4) | 1.4 (0.4) | 1.4 (0.3) | 1.4 (0.3) | 1.6 (0.3) | 15/15 |
| JADEb posik | 6.0 (3) | 57 (0.7) | 54 (107) | 64 (130) | 81 (80) | 81 (160) | 80 (157) | 10/15 |
| JADEctpb posik | 8.2 (5) | 2.0 (0.7) | 1.3 (0.4) | 1.4 (0.4) | 1.4 (0.3) | 1.4 (0.3) | 1.6 (0.3) | 15/15 |
| MVDE melo | 18 (7) | 7.0 (4) | 5.0 (2) | 7.2 (3) | 8.7 (4) | 8.7 (4) | 9.4 (4) | 15/15 |
| NBIPOPaCMA loshchilov | 4.7 (2) | 1.3 (1) | 0.86 (0.9) | 0.89 (0.7) | 0.86 (0.6) | 0.86 (0.6) | 0.88 (0.6) | 15/15 |
| NIPOPaCMA loshchilov | 5.9 (3) | 1.3 (1) | 0.93 (0.9) | 1.0 (0.8) | 0.99 (0.7) | 0.99 (0.7) | 1.1 (0.7) | 15/15 |
| PSO-BFGS voglis | 579 (924) | 458 (446) | 930 (523) | 1588 (2155) | 2363 (2106) | 2363 (4171) | 2326 (3069) | 1/15 |
| SNES schaul | 3.5 (3) | 37 (76) | 51 (56) | 81 (82) | 212 (257) | 212 (257) | 237 (253) | 14/15 |
| xNES schaul | 4.5 (2) | 2.9 (0.5) | 2.7 (4) | 2.3 (3) | 3.0 (6) | 3.0 (6) | 3.0 (6) | 15/15 |
| xNESas schaul | 4.3 (3) | 0.81 (0.3) | 3.2 (4) | 2.7 (4) | 2.6 (3) | 2.6 (3) | 2.6 (3) | 15/15 |
| Δ fopt f8, 5-D |
1e1 73 |
1e0 273 |
1e-1 336 |
1e-2 372 |
1e-3 391 |
1e-5 410 |
1e-7 422 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.5 (0.9) | 11 (2) | 43 (4) | 82 (6) | 120 (11) | 199 (10) | 278 (10) | 15/15 |
| BIPOPaCMA loshchilov | 3.0 (1) | 5.9 (5) | 6.2 (4) | 6.2 (4) | 6.2 (4) | 6.4 (4) | 6.7 (4) | 15/15 |
| BIPOPsaACM loshchilov | 2.2 (0.6) | 2.5 (2) | 2.5 (2) | 2.5 (2) | 2.5 (2) | 2.5 (1) | 2.5 (1) | 15/15 |
| CMAES posik | 4.3 (4) | 3.6 (1) | 4.4 (1) | 4.6 (1) | 4.7 (1) | 5.0 (1) | 5.2 (1) | 15/15 |
| CMA brockhoff | 3.4 (1.0) | 5.1 (5) | 5.7 (4) | 5.7 (4) | 5.8 (4) | 6.0 (4) | 6.3 (4) | 15/15 |
| CMAa brockhoff | 2.8 (1.0) | 4.5 (5) | 5.0 (5) | 5.0 (4) | 5.1 (4) | 5.3 (4) | 5.5 (4) | 15/15 |
| CMAm brockhoff | 2.6 (0.8) | 4.3 (5) | 4.9 (4) | 5.1 (4) | 5.2 (3) | 5.4 (3) | 5.6 (3) | 15/15 |
| CMAma brockhoff | 2.7 (1) | 3.2 (2) | 3.7 (2) | 3.9 (1) | 4.0 (1) | 4.2 (1) | 4.4 (1) | 15/15 |
| CMAmah brockhoff | 1.8 (0.6) | 3.5 (3) | 4.0 (3) | 4.2 (3) | 4.3 (2) | 4.4 (2) | 4.5 (2) | 15/15 |
| CMAmh brockhoff | 2.5 (1) | 4.5 (4) | 5.1 (4) | 5.3 (3) | 5.3 (3) | 5.5 (3) | 5.6 (3) | 15/15 |
| DBRCGA chuang | 18 (5) | 16 (7) | 24 (16) | 36 (18) | 43 (16) | 56 (22) | 75 (30) | 15/15 |
| DE-AUTO voglis | 1.6 (0.4) | 2.4 (4) | 2.1 (4) | 2.0 (3) | 1.9 (3) | 1.9 (3) | 1.8 (3) | 15/15 |
| DE-BFGS voglis | 2.8 (2) | 1.2 (0.6) | 1.1 (0.5) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 15/15 |
| DE-ROLL voglis | 4.6 (6) | 13 (10) | 40 (33) | 59 (40) | 83 (51) | 120 (38) | 1134 (1304) | 5/15 |
| DE-SIMPLEX voglis | 1.9 (0.8) | 2.2 (3) | 2.2 (2) | 2.1 (2) | 2.1 (2) | 2.2 (2) | 2.2 (2) | 15/15 |
| DEAE posik | 8.7 (3) | 10 (12) | 11 (10) | 11 (9) | 11 (8) | 11 (8) | 12 (8) | 15/15 |
| DE posik | 9.4 (4) | 14 (5) | 21 (8) | 26 (7) | 30 (8) | 40 (7) | 49 (8) | 15/15 |
| DEb posik | 9.4 (4) | 14 (5) | 21 (8) | 26 (7) | 30 (8) | 40 (7) | 49 (8) | 15/15 |
| DEctpb posik | 11 (2) | 10 (4) | 22 (9) | 28 (8) | 32 (8) | 44 (7) | 54 (8) | 15/15 |
| IPOPsaACM loshchilov | 2.3 (1) | 1.9 (0.7) | 2.0 (0.6) | 2.0 (0.5) | 2.0 (0.5) | 2.0 (0.5) | 2.1 (0.5) | 15/15 |
| JADE posik | 7.5 (3) | 7.3 (3) | 10 (3) | 11 (2) | 12 (2) | 13 (1) | 14 (1) | 15/15 |
| JADEb posik | 5.0 (1) | 11 (12) | 12 (10) | 12 (9) | 12 (9) | 13 (8) | 14 (8) | 15/15 |
| JADEctpb posik | 7.5 (3) | 7.3 (3) | 10 (3) | 11 (2) | 12 (2) | 13 (1) | 14 (1) | 15/15 |
| MVDE melo | 21 (8) | 20 (16) | 64 (69) | 134 (96) | 196 (117) | 388 (152) | 590 (194) | 15/15 |
| NBIPOPaCMA loshchilov | 2.9 (0.9) | 4.1 (4) | 4.6 (4) | 4.7 (3) | 4.8 (3) | 5.1 (3) | 5.3 (3) | 15/15 |
| NIPOPaCMA loshchilov | 4.1 (3) | 4.4 (5) | 4.8 (4) | 5.0 (4) | 5.0 (4) | 5.2 (4) | 5.5 (4) | 15/15 |
| PSO-BFGS voglis | 3.0 (2) | 1.8 (1) | 1.6 (0.8) | 1.5 (0.8) | 1.5 (0.7) | 1.5 (0.7) | 1.4 (0.7) | 15/15 |
| SNES schaul | 3.7 (1) | 87 (92) | 219 (164) | 424 (327) | 667 (328) | 1770 (1252) | 4065 (4449) | 4/15 |
| xNES schaul | 4.1 (2) | 3.9 (1) | 5.8 (3) | 7.0 (4) | 7.3 (4) | 7.7 (4) | 8.3 (4) | 15/15 |
| xNESas schaul | 3.4 (2) | 6.8 (3) | 8.7 (4) | 10 (9) | 16 (13) | 16 (13) | 16 (12) | 15/15 |
| Δ fopt f9, 5-D |
1e1 35 |
1e0 127 |
1e-1 214 |
1e-2 263 |
1e-3 300 |
1e-5 335 |
1e-7 369 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 12 (3) | 21 (8) | 59 (26) | 148 (82) | 251 (139) | 467 (266) | 655 (376) | 15/15 |
| BIPOPaCMA loshchilov | 7.8 (4) | 10 (10) | 7.7 (6) | 7.1 (5) | 6.6 (5) | 6.4 (4) | 6.3 (4) | 15/15 |
| BIPOPsaACM loshchilov | 4.2 (1) | 4.1 (4) | 3.1 (2) | 2.8 (2) | 2.6 (2) | 2.5 (2) | 2.3 (1) | 15/15 |
| CMAES posik | 5.5 (1) | 7.1 (3) | 6.5 (2) | 6.2 (1) | 5.8 (1) | 5.8 (1.0) | 5.7 (0.9) | 15/15 |
| CMA brockhoff | 6.9 (3) | 9.0 (11) | 7.7 (7) | 7.1 (5) | 6.8 (5) | 6.7 (5) | 6.5 (4) | 15/15 |
| CMAa brockhoff | 6.1 (2) | 6.5 (2) | 5.9 (1) | 5.6 (1) | 5.2 (1) | 5.2 (1.0) | 5.2 (0.9) | 15/15 |
| CMAm brockhoff | 5.4 (4) | 6.5 (2) | 6.2 (1) | 5.8 (1) | 5.6 (1.0) | 5.5 (0.8) | 5.3 (0.8) | 15/15 |
| CMAma brockhoff | 5.8 (2) | 6.9 (4) | 6.0 (2) | 5.8 (2) | 5.4 (2) | 5.3 (1) | 5.1 (1) | 15/15 |
| CMAmah brockhoff | 4.3 (1) | 9.4 (8) | 7.5 (5) | 6.8 (4) | 6.3 (3) | 6.1 (3) | 5.8 (3) | 15/15 |
| CMAmh brockhoff | 5.0 (2) | 11 (9) | 9.0 (5) | 8.2 (4) | 7.6 (4) | 7.4 (3) | 7.0 (3) | 15/15 |
| DBRCGA chuang | 34 (10) | 37 (26) | 42 (30) | 58 (45) | 72 (51) | 109 (77) | 129 (74) | 15/15 |
| DE-AUTO voglis | 3.6 (1) | 7.1 (6) | 4.5 (4) | 3.7 (3) | 3.3 (2) | 3.0 (2) | 2.8 (2) | 15/15 |
| DE-BFGS voglis | 4.2 (0.7) | 2.7 (2) | 1.9 (0.9) | 1.6 (0.8) | 1.5 (0.7) | 1.3 (0.6) | 1.2 (0.5) | 15/15 |
| DE-ROLL voglis | 8.0 (6) | 17 (10) | 71 (43) | 99 (62) | 124 (58) | 165 (67) | 361 (334) | 13/15 |
| DE-SIMPLEX voglis | 5.8 (4) | 4.4 (4) | 3.2 (2) | 2.8 (2) | 2.6 (2) | 2.5 (1) | 2.4 (1) | 15/15 |
| DEAE posik | 16 (5) | 13 (4) | 11 (4) | 10 (3) | 10 (3) | 10 (3) | 11 (3) | 15/15 |
| DE posik | 22 (8) | 37 (7) | 36 (10) | 39 (8) | 40 (11) | 50 (14) | 58 (17) | 15/15 |
| DEb posik | 22 (8) | 37 (7) | 36 (10) | 39 (8) | 40 (11) | 50 (14) | 58 (17) | 15/15 |
| DEctpb posik | 22 (11) | 29 (7) | 37 (9) | 41 (12) | 43 (11) | 53 (16) | 62 (19) | 15/15 |
| IPOPsaACM loshchilov | 5.0 (2) | 3.1 (1) | 2.5 (0.6) | 2.3 (0.5) | 2.1 (0.5) | 2.0 (0.5) | 2.0 (0.4) | 15/15 |
| JADE posik | 14 (2) | 24 (7) | 22 (5) | 20 (6) | 19 (5) | 19 (4) | 18 (4) | 15/15 |
| JADEb posik | 11 (2) | 20 (33) | 16 (20) | 15 (16) | 15 (13) | 15 (12) | 15 (11) | 15/15 |
| JADEctpb posik | 14 (2) | 24 (7) | 22 (5) | 20 (6) | 19 (5) | 19 (4) | 18 (4) | 15/15 |
| MVDE melo | 48 (12) | 79 (49) | 197 (94) | 263 (107) | 304 (85) | 454 (164) | 614 (232) | 15/15 |
| NBIPOPaCMA loshchilov | 5.2 (1) | 6.2 (3) | 5.6 (2) | 5.3 (1) | 5.0 (0.9) | 5.0 (1.0) | 5.0 (0.9) | 15/15 |
| NIPOPaCMA loshchilov | 5.6 (1) | 5.4 (2) | 5.0 (1) | 4.7 (1.0) | 4.6 (0.8) | 4.6 (0.8) | 4.6 (0.8) | 15/15 |
| PSO-BFGS voglis | 4.0 (1) | 2.2 (1) | 1.6 (0.9) | 1.4 (0.7) | 1.3 (0.6) | 1.2 (0.5) | 1.1 (0.5) | 15/15 |
| SNES schaul | 5.2 (2) | 69 (48) | 211 (80) | 507 (381) | 1482 (1916) | 2067 (1569) | 5488 (8269) | 4/15 |
| xNES schaul | 7.0 (2) | 8.2 (3) | 8.7 (4) | 8.8 (5) | 8.4 (5) | 8.3 (4) | 8.4 (4) | 15/15 |
| xNESas schaul | 6.3 (2) | 13 (4) | 12 (3) | 12 (5) | 11 (6) | 11 (6) | 11 (6) | 15/15 |
| Δ fopt f10, 5-D |
1e1 349 |
1e0 500 |
1e-1 574 |
1e-2 607 |
1e-3 626 |
1e-5 829 |
1e-7 880 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 663 (774) | 1847 (1728) | 3068 (1663) | 3981 (1793) | 5251 (2230) | 5799 (2317) | 9643 (7594) | 1/15 |
| BIPOPaCMA loshchilov | 2.6 (0.9) | 2.2 (0.6) | 2.1 (0.3) | 2.1 (0.3) | 2.2 (0.3) | 1.9 (0.1) | 2.0 (0.1) | 15/15 |
| BIPOPsaACM loshchilov | 0.76 (0.1)↑1 | 0.59 (0.1)↑0 | 0.58 (0.1)↑0 | 0.58 (0.1)↑0 | 0.60 (0.1)↑0 | 0.51 (0.1)↑0 | 0.53 (0.1)↑0 | 15/15 |
| CMAES posik | 3.6 (0.7) | 2.9 (0.5) | 2.7 (0.4) | 2.8 (0.3) | 2.8 (0.3) | 2.3 (0.2) | 2.3 (0.2) | 15/15 |
| CMA brockhoff | 2.8 (1) | 2.7 (0.8) | 2.6 (0.6) | 2.7 (0.4) | 2.8 (0.4) | 2.3 (0.3) | 2.3 (0.3) | 15/15 |
| CMAa brockhoff | 2.6 (0.8) | 2.2 (0.4) | 2.1 (0.2) | 2.1 (0.2) | 2.2 (0.2) | 1.8 (0.2) | 1.9 (0.2) | 15/15 |
| CMAm brockhoff | 3.9 (0.9) | 3.2 (0.7) | 3.0 (0.3) | 3.0 (0.3) | 3.0 (0.3) | 2.4 (0.2) | 2.4 (0.2) | 15/15 |
| CMAma brockhoff | 2.5 (0.8) | 2.2 (0.5) | 2.1 (0.3) | 2.1 (0.2) | 2.2 (0.2) | 1.8 (0.2) | 1.8 (0.2) | 15/15 |
| CMAmah brockhoff | 2.9 (1) | 2.5 (0.5) | 2.4 (0.3) | 2.3 (0.3) | 2.3 (0.3) | 1.9 (0.2) | 1.9 (0.2) | 15/15 |
| CMAmh brockhoff | 4.1 (1) | 3.4 (0.9) | 3.3 (0.3) | 3.2 (0.3) | 3.2 (0.3) | 2.5 (0.2) | 2.5 (0.2) | 15/15 |
| DBRCGA chuang | 59 (46) | 194 (275) | 407 (299) | 692 (554) | 1183 (890) | 1630 (1809) | 4069 (3835) | 2/15 |
| DE-AUTO voglis | 2.6 (4) | 1.9 (3) | 1.6 (3) | 1.6 (3) | 1.5 (2) | 1.2 (2) | 1.1 (2) | 15/15 |
| DE-BFGS voglis | 0.75 (0.7) | 0.54 (0.4) | 0.49 (0.4) | 0.48 (0.4)↑1 | 0.48 (0.4)↑1 | 0.39 (0.3)↑1 | 0.50 (0.9) | 15/15 |
| DE-ROLL voglis | 93 (102) | 121 (86) | 129 (82) | 153 (63) | 176 (66) | 178 (43) | 1865 (1899) | 1/15 |
| DE-SIMPLEX voglis | 2.9 (3) | 2.7 (2) | 2.5 (1) | 2.4 (1) | 2.4 (1) | 1.9 (1.0) | 2.0 (2) | 15/15 |
| DEAE posik | 3.0 (0.4) | 2.5 (0.3) | 2.6 (0.4) | 2.9 (0.2) | 3.2 (0.2) | 3.0 (0.3) | 3.4 (0.2) | 15/15 |
| DE posik | 27 (8) | 28 (6) | 32 (6) | 36 (7) | 43 (8) | 42 (6) | 49 (7) | 15/15 |
| DEb posik | 27 (8) | 28 (6) | 32 (6) | 36 (7) | 43 (8) | 42 (6) | 49 (7) | 15/15 |
| DEctpb posik | 32 (7) | 32 (6) | 37 (8) | 43 (5) | 52 (6) | 51 (5) | 61 (6) | 15/15 |
| IPOPsaACM loshchilov | 0.77 (0.2)↑1 | 0.61 (0.1)↑0 | 0.57 (0.1)↑0 | 0.58 (0.1)↑0 | 0.60 (0.1)↑0 | 0.51 (0.1)↑0 | 0.53 (0.1)↑0 | 15/15 |
| JADE posik | 6.1 (1) | 5.1 (0.8) | 5.0 (0.8) | 5.2 (0.6) | 5.4 (0.7) | 4.8 (0.5) | 5.1 (0.5) | 15/15 |
| JADEb posik | 6.7 (2) | 5.7 (2) | 6.0 (1) | 6.4 (2) | 6.6 (2) | 5.8 (2) | 6.1 (1) | 15/15 |
| JADEctpb posik | 6.1 (1) | 5.1 (0.8) | 5.0 (0.8) | 5.2 (0.6) | 5.4 (0.7) | 4.8 (0.5) | 5.1 (0.5) | 15/15 |
| MVDE melo | 137 (86) | 198 (73) | 332 (134) | 535 (191) | 780 (257) | 996 (230) | 2755 (3501) | 1/15 |
| NBIPOPaCMA loshchilov | 2.8 (0.8) | 2.2 (0.5) | 2.1 (0.2) | 2.1 (0.2) | 2.2 (0.2) | 1.8 (0.2) | 1.9 (0.2) | 15/15 |
| NIPOPaCMA loshchilov | 2.7 (0.7) | 2.3 (0.3) | 2.1 (0.3) | 2.1 (0.3) | 2.2 (0.3) | 1.8 (0.2) | 1.9 (0.2) | 15/15 |
| PSO-BFGS voglis | 1.3 (1) | 0.94 (1) | 0.84 (0.9) | 0.81 (0.9) | 0.79 (0.8) | 0.62 (0.6) | 1.7 (0.6) | 15/15 |
| SNES schaul | 3423 (3287) | 5372 (5128) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| xNES schaul | 2.1 (0.6) | 1.9 (0.3) | 1.9 (0.2) | 2.0 (0.2) | 2.3 (0.2) | 2.2 (0.2) | 2.5 (0.2) | 15/15 |
| xNESas schaul | 2.0 (0.8) | 1.8 (0.7) | 1.8 (0.6) | 1.9 (0.5) | 2.0 (0.5) | 1.9 (0.4) | 2.0 (0.3) | 15/15 |
| Δ fopt f11, 5-D |
1e1 143 |
1e0 202 |
1e-1 763 |
1e-2 977 |
1e-3 1177 |
1e-5 1467 |
1e-7 1673 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 129 (102) | 257 (72) | 118 (34) | 122 (22) | 130 (26) | 152 (30) | 177 (34) | 15/15 |
| BIPOPaCMA loshchilov | 5.0 (2) | 4.6 (1) | 1.4 (0.2) | 1.2 (0.2) | 1.1 (0.2) | 0.94 (0.1) | 0.91 (0.1)↑0 | 15/15 |
| BIPOPsaACM loshchilov | 2.1 (0.3) | 1.6 (0.2) | 0.47 (0.1)↑0 | 0.39 (0.0)↑0 | 0.34 (0.0)↑0 | 0.30 (0.0)↑0 | 0.29 (0.0)↑0 | 15/15 |
| CMAES posik | 9.1 (1) | 7.7 (1) | 2.3 (0.3) | 1.9 (0.2) | 1.6 (0.2) | 1.4 (0.2) | 1.3 (0.1) | 15/15 |
| CMA brockhoff | 8.7 (2) | 7.6 (1) | 2.2 (0.4) | 1.9 (0.3) | 1.6 (0.2) | 1.4 (0.2) | 1.3 (0.2) | 15/15 |
| CMAa brockhoff | 5.2 (1.0) | 4.6 (0.7) | 1.4 (0.2) | 1.2 (0.1) | 1.1 (0.1) | 0.95 (0.1) | 0.93 (0.1) | 15/15 |
| CMAm brockhoff | 8.4 (3) | 7.8 (1) | 2.3 (0.3) | 1.9 (0.2) | 1.7 (0.2) | 1.4 (0.2) | 1.3 (0.1) | 15/15 |
| CMAma brockhoff | 5.1 (1) | 4.4 (0.8) | 1.3 (0.2) | 1.1 (0.1) | 1.0 (0.1) | 0.88 (0.1)↑0 | 0.84 (0.1)↑0 | 15/15 |
| CMAmah brockhoff | 6.4 (2) | 6.2 (1) | 1.8 (0.3) | 1.5 (0.2) | 1.3 (0.2) | 1.1 (0.1) | 1.0 (0.1) | 15/15 |
| CMAmh brockhoff | 12 (4) | 10 (2) | 3.0 (0.3) | 2.4 (0.2) | 2.1 (0.2) | 1.7 (0.1) | 1.6 (0.1) | 15/15 |
| DBRCGA chuang | 18 (9) | 106 (110) | 77 (75) | 80 (70) | 100 (79) | 140 (85) | 177 (186) | 11/15 |
| DE-AUTO voglis | 2.5 (0.1) | 1.9 (0.1) | 0.51 (0.0)↑1 | 0.41 (0.0)↑1 | 0.35 (0.0)↑1 | 0.29 (0.0)↑1 | 0.61 (1) | 15/15 |
| DE-BFGS voglis | 0.69 (0.2)↑1 | 0.53 (0.1)↑0 | 0.15 (0.0)↑0 | 0.13 (0.0)↑0 | 0.11 (0.0)↑0 | 0.11 (0.0)↑0 | 0.12 (0.1)↑0 | 15/15 |
| DE-ROLL voglis | 76 (76) | 163 (111) | 63 (26) | 79 (18) | 81 (14) | 92 (14) | 2107 (2249) | 0/15 |
| DE-SIMPLEX voglis | 4.5 (4) | 5.3 (3) | 1.7 (0.5) | 1.5 (0.8) | 1.3 (0.6) | 1.1 (0.5) | 0.97 (0.4) | 15/15 |
| DEAE posik | 4.4 (1) | 4.9 (1) | 1.7 (0.3) | 1.6 (0.3) | 1.5 (0.2) | 1.5 (0.2) | 1.6 (0.2) | 15/15 |
| DE posik | 32 (23) | 42 (19) | 16 (5) | 17 (5) | 17 (4) | 19 (4) | 23 (4) | 15/15 |
| DEb posik | 32 (23) | 42 (19) | 16 (5) | 17 (5) | 17 (4) | 19 (4) | 23 (4) | 15/15 |
| DEctpb posik | 26 (18) | 44 (17) | 18 (5) | 19 (4) | 21 (5) | 24 (6) | 27 (6) | 15/15 |
| IPOPsaACM loshchilov | 2.0 (0.4) | 1.6 (0.3) | 0.46 (0.1)↑0 | 0.39 (0.1)↑0 | 0.34 (0.1)↑0 | 0.30 (0.1)↑0 | 0.29 (0.0)↑0 | 15/15 |
| JADE posik | 8.0 (3) | 8.9 (1) | 2.8 (0.4) | 2.5 (0.4) | 2.3 (0.3) | 2.2 (0.2) | 2.3 (0.2) | 15/15 |
| JADEb posik | 9.0 (4) | 12 (6) | 4.0 (1) | 3.4 (1) | 3.0 (0.9) | 2.8 (0.8) | 2.7 (0.7) | 15/15 |
| JADEctpb posik | 8.0 (3) | 8.9 (1) | 2.8 (0.4) | 2.5 (0.4) | 2.3 (0.3) | 2.2 (0.2) | 2.3 (0.2) | 15/15 |
| MVDE melo | 43 (32) | 195 (124) | 123 (53) | 190 (97) | 267 (143) | 383 (201) | 795 (992) | 6/15 |
| NBIPOPaCMA loshchilov | 6.1 (1) | 5.0 (0.8) | 1.5 (0.2) | 1.2 (0.2) | 1.1 (0.1) | 0.97 (0.1) | 0.94 (0.1) | 15/15 |
| NIPOPaCMA loshchilov | 5.2 (1) | 4.3 (0.7) | 1.3 (0.1) | 1.2 (0.2) | 1.0 (0.1) | 0.93 (0.1) | 0.90 (0.1)↑1 | 15/15 |
| PSO-BFGS voglis | 0.59 (0.1)↑0 | 0.45 (0.1)↑0 | 0.13 (0.0)↑0 | 0.11 (0.0)↑0 | 0.10 (0.0)↑0 | 0.09 (0.0)↑0 | 0.11 (0.0)↑0 | 15/15 |
| SNES schaul | 3896 (2956) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| xNES schaul | 4.4 (1) | 3.9 (1) | 1.2 (0.3) | 1.1 (0.2) | 1.1 (0.2) | 1.1 (0.1) | 1.2 (0.1) | 15/15 |
| xNESas schaul | 4.2 (3) | 4.3 (1) | 1.3 (0.3) | 1.1 (0.2) | 1.1 (0.2) | 1.0 (0.1) | 1.1 (0.1) | 15/15 |
| Δ fopt f12, 5-D |
1e1 108 |
1e0 268 |
1e-1 371 |
1e-2 413 |
1e-3 461 |
1e-5 1303 |
1e-7 1494 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4137 (7133) | 3.3e4 (5e4) | 7.8e4 (7e4) | 1.8e5 (1e5) | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 12 (9) | 8.3 (6) | 7.7 (6) | 7.6 (6) | 7.4 (6) | 3.0 (3) | 3.2 (3) | 15/15 |
| BIPOPsaACM loshchilov | 2.6 (0.8) | 2.1 (2) | 2.1 (2) | 2.4 (3) | 2.5 (3) | 1.4 (1) | 1.7 (2) | 15/15 |
| CMAES posik | 8.4 (9) | 5.9 (7) | 7.1 (7) | 7.7 (6) | 7.9 (5) | 3.5 (2) | 3.8 (2) | 15/15 |
| CMA brockhoff | 10 (8) | 8.3 (5) | 8.4 (5) | 8.5 (5) | 8.6 (5) | 3.7 (2) | 3.7 (3) | 15/15 |
| CMAa brockhoff | 8.7 (6) | 7.2 (6) | 7.9 (6) | 8.4 (6) | 8.5 (6) | 3.7 (2) | 3.7 (2) | 15/15 |
| CMAm brockhoff | 7.4 (8) | 7.5 (6) | 8.2 (6) | 8.6 (6) | 8.7 (6) | 3.9 (3) | 3.9 (3) | 15/15 |
| CMAma brockhoff | 6.1 (3) | 4.9 (5) | 5.3 (5) | 5.7 (4) | 5.9 (4) | 2.6 (2) | 2.6 (2) | 15/15 |
| CMAmah brockhoff | 6.5 (8) | 7.3 (7) | 8.1 (6) | 8.8 (5) | 8.8 (5) | 3.9 (2) | 3.8 (2) | 15/15 |
| CMAmh brockhoff | 8.3 (10) | 8.9 (10) | 10 (9) | 10 (9) | 10 (9) | 4.5 (4) | 4.5 (4) | 15/15 |
| DBRCGA chuang | 616 (1693) | 1327 (1930) | 9435 (1e4) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE-AUTO voglis | 2.8 (3) | 2.2 (2) | 2.2 (2) | 2.2 (2) | 2.2 (2) | 0.93 (0.8) | 1.2 (1) | 15/15 |
| DE-BFGS voglis | 2.8 (1) | 2.0 (1) | 1.9 (1) | 2.0 (1) | 1.9 (1) | 0.80 (0.5) | 1.1 (0.7) | 15/15 |
| DE-ROLL voglis | 21 (19) | 112 (37) | 148 (105) | 173 (200) | 211 (256) | 118 (148) | 485 (792) | 1/15 |
| DE-SIMPLEX voglis | 4.1 (4) | 3.1 (2) | 3.4 (2) | 3.5 (2) | 3.4 (2) | 1.6 (1) | 2.0 (2) | 15/15 |
| DEAE posik | 15 (5) | 11 (4) | 11 (6) | 12 (6) | 13 (6) | 5.6 (3) | 5.6 (3) | 15/15 |
| DE posik | 103 (94) | 107 (85) | 117 (116) | 129 (129) | 135 (129) | 63 (51) | 66 (52) | 15/15 |
| DEb posik | 103 (94) | 107 (85) | 117 (116) | 129 (129) | 135 (129) | 63 (51) | 66 (52) | 15/15 |
| DEctpb posik | 89 (42) | 77 (46) | 104 (117) | 122 (140) | 138 (134) | 70 (57) | 80 (56) | 14/15 |
| IPOPsaACM loshchilov | 3.8 (3) | 2.9 (2) | 2.8 (2) | 2.8 (2) | 2.8 (2) | 1.2 (0.9) | 1.2 (0.9) | 15/15 |
| JADE posik | 24 (3) | 13 (4) | 12 (7) | 13 (7) | 14 (7) | 6.1 (3) | 6.2 (4) | 15/15 |
| JADEb posik | 18 (13) | 15 (8) | 15 (10) | 15 (12) | 15 (11) | 6.7 (4) | 6.7 (4) | 15/15 |
| JADEctpb posik | 24 (3) | 13 (4) | 12 (7) | 13 (7) | 14 (7) | 6.1 (3) | 6.2 (4) | 15/15 |
| MVDE melo | 207 (116) | 342 (277) | 714 (673) | 1077 (799) | 1417 (756) | 1221 (1262) | 3255 (2004) | 2/15 |
| NBIPOPaCMA loshchilov | 11 (6) | 6.9 (6) | 6.5 (6) | 6.6 (6) | 6.5 (5) | 2.7 (2) | 2.8 (2) | 15/15 |
| NIPOPaCMA loshchilov | 11 (16) | 8.2 (11) | 8.0 (9) | 8.0 (8) | 7.9 (8) | 3.4 (3) | 3.4 (3) | 15/15 |
| PSO-BFGS voglis | 2.8 (2) | 1.7 (1) | 1.5 (1) | 1.5 (1) | 1.7 (1) | 0.73 (0.5) | 0.86 (0.9) | 15/15 |
| SNES schaul | 43 (92) | 219 (274) | 296 (609) | 2093 (2326) | 5021 (4623) | ∞ | ∞1e6 | 0/15 |
| xNES schaul | 11 (3) | 24 (38) | 32 (41) | 48 (91) | 50 (107) | 22 (39) | 25 (35) | 15/15 |
| xNESas schaul | 16 (28) | 36 (66) | 36 (58) | 44 (107) | 51 (97) | 21 (35) | 31 (34) | 15/15 |
| Δ fopt f13, 5-D |
1e1 132 |
1e0 195 |
1e-1 250 |
1e-2 319 |
1e-3 1310 |
1e-5 1752 |
1e-7 2255 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 99 (222) | 474 (602) | 2135 (2397) | 5323 (3022) | 5449 (7692) | 8.1e4 (7e4) | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.2 (2) | 3.8 (1) | 4.3 (0.8) | 4.1 (0.7) | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.2) | 15/15 |
| BIPOPsaACM loshchilov | 1.2 (0.3) | 1.3 (0.4) | 1.3 (0.3) | 1.3 (0.2) | 0.37 (0.1)↑0 | 0.34 (0.1)↑0 | 0.32 (0.1)↑0 | 15/15 |
| CMAES posik | 4.5 (3) | 4.8 (3) | 5.1 (2) | 4.7 (1) | 1.5 (0.4) | 1.5 (0.4) | 1.4 (0.4) | 15/15 |
| CMA brockhoff | 3.3 (2) | 5.3 (2) | 5.5 (2) | 5.0 (1) | 1.4 (0.3) | 1.6 (0.3) | 1.5 (0.3) | 15/15 |
| CMAa brockhoff | 2.9 (0.7) | 4.1 (2) | 4.5 (1) | 4.1 (0.6) | 1.2 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| CMAm brockhoff | 4.0 (3) | 5.0 (2) | 4.7 (2) | 5.3 (3) | 1.7 (0.7) | 1.8 (0.8) | 2.0 (0.8) | 15/15 |
| CMAma brockhoff | 3.1 (2) | 4.5 (3) | 4.6 (2) | 4.2 (1) | 1.2 (0.3) | 1.3 (0.2) | 1.2 (0.2) | 15/15 |
| CMAmah brockhoff | 4.0 (4) | 5.6 (4) | 5.6 (3) | 5.1 (2) | 1.7 (0.8) | 1.7 (0.6) | 1.6 (0.5) | 15/15 |
| CMAmh brockhoff | 4.7 (5) | 10 (3) | 8.9 (2) | 8.6 (3) | 2.2 (0.8) | 2.5 (1) | 2.8 (0.9) | 15/15 |
| DBRCGA chuang | 22 (8) | 138 (160) | 603 (907) | 1457 (2003) | 1034 (973) | 2061 (2680) | ∞5e5 | 0/15 |
| DE-AUTO voglis | 0.99 (0.1) | 0.87 (0.1)↑0 | 0.83 (0.1)↑0 | 0.78 (0.1)↑0 | 0.22 (0.0)↑0 | 1.1 (0.5) | 0.96 (0.1) | 15/15 |
| DE-BFGS voglis | 1.0 (0.2) | 0.91 (0.1)↑1 | 0.87 (0.1)↑1 | 0.82 (0.0)↑1 | 0.23 (0.0)↑0 | 2.6 (1.0) | 528 (486) | 0/15 |
| DE-ROLL voglis | 20 (18) | 43 (38) | 53 (29) | 55 (28) | 16 (7) | 16 (4) | 79 (122) | 12/15 |
| DE-SIMPLEX voglis | 4.8 (4) | 6.2 (5) | 8.4 (6) | 8.2 (6) | 2.3 (1) | 2.2 (1) | 2.7 (2) | 15/15 |
| DEAE posik | 6.0 (0.8) | 6.4 (1.0) | 6.7 (0.5) | 6.8 (0.5) | 2.0 (0.1) | 2.0 (0.1) | 2.0 (0.1) | 15/15 |
| DE posik | 14 (4) | 26 (11) | 39 (11) | 54 (17) | 19 (7) | 28 (9) | 45 (23) | 6/15 |
| DEb posik | 14 (4) | 26 (11) | 39 (11) | 54 (17) | 19 (7) | 28 (9) | 45 (23) | 6/15 |
| DEctpb posik | 17 (8) | 30 (10) | 49 (16) | 66 (20) | 23 (6) | 30 (6) | 34 (4) | 12/15 |
| IPOPsaACM loshchilov | 1.2 (0.4) | 1.1 (0.3) | 1.2 (0.3) | 1.2 (0.3) | 0.33 (0.1)↑0 | 0.35 (0.1)↑0 | 0.33 (0.1)↑0 | 15/15 |
| JADE posik | 8.2 (1) | 12 (2) | 12 (2) | 11 (1) | 3.1 (0.3) | 2.9 (0.2) | 2.6 (0.2) | 15/15 |
| JADEb posik | 5.4 (2) | 8.9 (3) | 11 (3) | 11 (3) | 3.5 (1) | 3.5 (1) | 3.3 (0.8) | 15/15 |
| JADEctpb posik | 8.2 (1) | 12 (2) | 12 (2) | 11 (1) | 3.1 (0.3) | 2.9 (0.2) | 2.6 (0.2) | 15/15 |
| MVDE melo | 29 (12) | 92 (44) | 239 (114) | 487 (257) | 280 (188) | 2644 (2426) | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.7 (1) | 3.3 (2) | 3.9 (1) | 3.7 (1) | 1.1 (0.2) | 1.2 (0.2) | 1.2 (0.1) | 15/15 |
| NIPOPaCMA loshchilov | 2.9 (2) | 4.4 (2) | 4.7 (1) | 4.3 (1.0) | 1.2 (0.2) | 1.3 (0.3) | 1.2 (0.2) | 15/15 |
| PSO-BFGS voglis | 0.99 (0.1) | 0.87 (0.1)↑0 | 0.84 (0.1)↑0 | 0.79 (0.1)↑0 | 0.22 (0.0)↑0 | 181 (409) | ∞5e5 | 0/15 |
| SNES schaul | 44 (76) | 157 (174) | 335 (294) | 981 (733) | 860 (983) | 2575 (3252) | 6384 (7064) | 0/15 |
| xNES schaul | 3.6 (0.8) | 4.3 (0.3) | 4.7 (0.3) | 4.8 (0.2) | 1.4 (0.1) | 1.5 (0.1) | 1.5 (0.1) | 15/15 |
| xNESas schaul | 3.3 (0.6) | 3.7 (0.5) | 4.0 (0.5) | 4.0 (0.4) | 1.3 (0.2) | 1.4 (0.2) | 1.5 (0.2) | 15/15 |
| Δ fopt f14, 5-D |
1e1 10 |
1e0 41 |
1e-1 58 |
1e-2 90 |
1e-3 139 |
1e-5 251 |
1e-7 476 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.7 (2) | 4.7 (2) | 6.4 (1) | 7.0 (2) | 9.2 (3) | 123 (85) | 4.8e4 (7e4) | 0/15 |
| BIPOPaCMA loshchilov | 2.2 (3) | 2.6 (1) | 3.3 (0.8) | 3.6 (0.9) | 3.9 (0.7) | 3.9 (0.7) | 3.2 (0.3) | 15/15 |
| BIPOPsaACM loshchilov | 1.4 (2) | 2.3 (0.5) | 2.4 (0.5) | 2.5 (0.6) | 2.2 (0.3) | 1.8 (0.2) | 1.3 (0.1) | 15/15 |
| CMAES posik | 1.4 (1) | 2.9 (1) | 3.8 (0.8) | 4.0 (0.9) | 4.2 (1) | 5.4 (1) | 4.4 (0.5) | 15/15 |
| CMA brockhoff | 2.3 (3) | 2.8 (0.9) | 3.5 (1) | 3.9 (0.8) | 4.2 (1) | 5.4 (0.5) | 4.4 (0.6) | 15/15 |
| CMAa brockhoff | 2.5 (3) | 2.7 (1) | 3.5 (1) | 4.0 (1) | 4.0 (0.7) | 3.9 (0.4) | 3.1 (0.4) | 15/15 |
| CMAm brockhoff | 1.6 (2) | 2.8 (1) | 3.2 (2) | 3.3 (1) | 4.1 (1.0) | 5.4 (1) | 4.4 (0.6) | 15/15 |
| CMAma brockhoff | 1.8 (2) | 2.8 (0.9) | 3.3 (0.6) | 3.2 (1) | 3.7 (0.7) | 4.0 (0.8) | 3.0 (0.4) | 15/15 |
| CMAmah brockhoff | 1.4 (1) | 2.1 (0.8) | 2.4 (0.6) | 3.0 (0.8) | 3.4 (0.9) | 4.1 (1) | 3.5 (0.4) | 15/15 |
| CMAmh brockhoff | 1.4 (2) | 2.1 (1) | 2.5 (0.9) | 2.8 (1) | 4.1 (2) | 6.4 (0.8) | 5.1 (0.6) | 15/15 |
| DBRCGA chuang | 1.5 (1) | 15 (7) | 25 (3) | 24 (4) | 25 (8) | 110 (97) | 1315 (860) | 1/15 |
| DE-AUTO voglis | 1.7 (1) | 2.0 (0.3) | 1.7 (0.2) | 1.3 (0.2) | 0.99 (0.1) | 0.73 (0.1)↑0 | 5.1 (5) | 15/15 |
| DE-BFGS voglis | 1.0 (1) | 1.8 (0.2) | 1.5 (0.3) | 1.2 (0.2) | 0.94 (0.1) | 0.71 (0.1)↑0 | 6.4 (10) | 13/15 |
| DE-ROLL voglis | 1.4 (2) | 4.7 (6) | 4.9 (4) | 5.0 (3) | 10 (10) | 113 (33) | 1823 (1466) | 0/15 |
| DE-SIMPLEX voglis | 0.93 (2) | 5.3 (4) | 4.9 (3) | 3.9 (2) | 3.1 (0.9) | 2.2 (0.5) | 1.5 (0.3) | 15/15 |
| DEAE posik | 2.2 (3) | 6.3 (3) | 11 (2) | 11 (2) | 9.4 (1) | 7.9 (0.9) | 5.6 (0.6) | 15/15 |
| DE posik | 1.8 (3) | 7.2 (3) | 12 (2) | 12 (2) | 15 (4) | 37 (8) | 47 (12) | 15/15 |
| DEb posik | 1.8 (3) | 7.2 (3) | 12 (2) | 12 (2) | 15 (4) | 37 (8) | 47 (12) | 15/15 |
| DEctpb posik | 1.1 (1) | 6.2 (4) | 12 (2) | 14 (2) | 16 (3) | 40 (12) | 52 (10) | 15/15 |
| IPOPsaACM loshchilov | 2.8 (2) | 2.4 (0.6) | 2.5 (0.6) | 2.4 (0.5) | 2.1 (0.3) | 1.8 (0.2) | 1.3 (0.1) | 15/15 |
| JADE posik | 0.93 (0.8) | 5.3 (2) | 8.9 (2) | 9.1 (2) | 10 (2) | 12 (1) | 8.2 (0.5) | 15/15 |
| JADEb posik | 1.3 (1) | 4.0 (1.0) | 6.1 (1) | 6.2 (1) | 7.8 (1) | 10 (2) | 8.2 (3) | 15/15 |
| JADEctpb posik | 0.93 (0.8) | 5.3 (2) | 8.9 (2) | 9.1 (2) | 10 (2) | 12 (1) | 8.2 (0.5) | 15/15 |
| MVDE melo | 0.89 (0.9) | 14 (6) | 26 (7) | 29 (4) | 38 (9) | 173 (39) | 591 (271) | 15/15 |
| NBIPOPaCMA loshchilov | 1.7 (2) | 2.5 (1) | 3.6 (0.8) | 3.9 (0.8) | 4.1 (0.5) | 4.2 (0.5) | 3.2 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 2.0 (2) | 3.1 (1) | 3.9 (1) | 3.9 (1.0) | 4.3 (0.7) | 4.0 (0.5) | 3.2 (0.4) | 15/15 |
| PSO-BFGS voglis | 2.2 (3) | 1.9 (0.3) | 1.6 (0.2) | 1.3 (0.2) | 0.98 (0.1) | 0.76 (0.1)↑0 | 134 (203) | 4/15 |
| SNES schaul | 2.5 (3) | 2.4 (1) | 3.3 (1) | 4.2 (0.5) | 8.3 (10) | 1.2e4 (8489) | ∞1e6 | 0/15 |
| xNES schaul | 2.3 (2) | 2.1 (1) | 4.2 (1) | 5.5 (0.9) | 5.5 (0.7) | 5.1 (0.7) | 3.9 (0.2) | 15/15 |
| xNESas schaul | 1.9 (2) | 1.9 (0.9) | 3.9 (1) | 4.9 (1) | 4.9 (1) | 4.6 (0.5) | 3.3 (0.3) | 15/15 |
| Δ fopt f15, 5-D |
1e1 511 |
1e0 9310 |
1e-1 19369 |
1e-2 19743 |
1e-3 20073 |
1e-5 20769 |
1e-7 21359 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.3 (4) | 7.7 (11) | 17 (27) | 16 (27) | 16 (26) | 16 (25) | 15 (25) | 15/15 |
| BIPOPaCMA loshchilov | 1.5 (2) | 1.1 (0.8) | 1.4 (1) | 1.4 (1) | 1.3 (1) | 1.3 (1) | 1.3 (1) | 15/15 |
| BIPOPsaACM loshchilov | 1.4 (1) | 0.59 (0.5) | 0.65 (0.5) | 0.65 (0.5) | 0.64 (0.5) | 0.62 (0.5) | 0.61 (0.4) | 15/15 |
| CMAES posik | 2.1 (2) | 5.0 (5) | 15 (14) | 15 (15) | 15 (14) | 14 (13) | 14 (14) | 9/15 |
| CMA brockhoff | 1.6 (2) | 0.74 (0.5) | 0.86 (0.6) | 0.86 (0.6) | 0.86 (0.6) | 0.86 (0.6) | 0.87 (0.6) | 15/15 |
| CMAa brockhoff | 1.5 (2) | 1.1 (0.7) | 1.2 (0.6) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.6) | 1.2 (0.6) | 15/15 |
| CMAm brockhoff | 1.8 (2) | 0.74 (0.6) | 0.66 (0.4)↑1 | 0.67 (0.4) | 0.67 (0.4) | 0.67 (0.3) | 0.68 (0.3) | 15/15 |
| CMAma brockhoff | 1.0 (0.5) | 0.86 (0.6) | 1.1 (0.8) | 1.1 (0.8) | 1.1 (0.8) | 1.1 (0.8) | 1.1 (0.8) | 15/15 |
| CMAmah brockhoff | 2.0 (2) | 0.98 (0.5) | 1.1 (0.7) | 1.1 (0.7) | 1.1 (0.7) | 1.1 (0.7) | 1.1 (0.7) | 15/15 |
| CMAmh brockhoff | 3.2 (3) | 0.95 (0.5) | 1.1 (0.6) | 1.1 (0.6) | 1.1 (0.6) | 1.1 (0.6) | 1.1 (0.6) | 15/15 |
| DBRCGA chuang | 3.7 (2) | 26 (24) | 84 (93) | 83 (87) | 81 (126) | 79 (85) | 77 (71) | 4/15 |
| DE-AUTO voglis | 15 (9) | 6.1 (7) | 11 (14) | 11 (15) | 11 (13) | 11 (13) | 10 (13) | 13/15 |
| DE-BFGS voglis | 3.8 (3) | 1.1 (1) | 1.6 (1) | 1.6 (1) | 1.6 (1) | 1.5 (1) | 1.5 (1) | 15/15 |
| DE-ROLL voglis | 24 (14) | 7.0 (6) | 12 (17) | 12 (14) | 12 (13) | 12 (13) | 11 (15) | 13/15 |
| DE-SIMPLEX voglis | 10 (5) | 3.1 (3) | 3.2 (3) | 3.1 (3) | 3.0 (3) | 2.9 (3) | 2.9 (3) | 15/15 |
| DEAE posik | 3.9 (4) | 4.2 (4) | 4.8 (5) | 4.7 (5) | 4.6 (5) | 4.5 (5) | 4.4 (5) | 14/15 |
| DE posik | 6.1 (5) | 4.3 (4) | 6.0 (7) | 5.9 (8) | 5.9 (8) | 5.7 (7) | 5.6 (7) | 13/15 |
| DEb posik | 6.1 (5) | 4.3 (4) | 6.0 (6) | 5.9 (6) | 5.9 (8) | 5.7 (8) | 5.6 (6) | 13/15 |
| DEctpb posik | 6.0 (4) | 4.9 (4) | 7.1 (8) | 7.2 (8) | 7.2 (7) | 7.1 (7) | 7.1 (10) | 12/15 |
| IPOPsaACM loshchilov | 1.6 (1) | 0.42 (0.4)↑1 | 0.72 (0.6) | 0.71 (0.6) | 0.71 (0.6) | 0.70 (0.6) | 0.69 (0.6) | 15/15 |
| JADE posik | 3.7 (1) | 7.5 (14) | 39 (52) | 39 (47) | 39 (61) | 59 (51) | 175 (219) | 1/15 |
| JADEb posik | 3.0 (2) | 14 (15) | 32 (51) | 31 (26) | 39 (53) | 38 (84) | 37 (41) | 4/15 |
| JADEctpb posik | 3.7 (1) | 7.5 (14) | 39 (38) | 39 (51) | 39 (53) | 59 (39) | 175 (296) | 1/15 |
| MVDE melo | 5.1 (2) | 12 (12) | 26 (28) | 28 (64) | 31 (30) | 32 (26) | 32 (28) | 11/15 |
| NBIPOPaCMA loshchilov | 1.7 (2) | 0.99 (1) | 1.6 (0.9) | 1.6 (0.9) | 1.6 (0.9) | 1.5 (0.9) | 1.5 (0.8) | 15/15 |
| NIPOPaCMA loshchilov | 1.4 (2) | 1.1 (0.9) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 15/15 |
| PSO-BFGS voglis | 10 (7) | 6.6 (5) | 39 (35) | 38 (41) | 37 (59) | 36 (35) | 35 (43) | 8/15 |
| SNES schaul | 5.0 (10) | 14 (14) | 23 (20) | 23 (19) | 22 (19) | 22 (18) | 21 (18) | 14/15 |
| xNES schaul | 1.8 (1) | 5.3 (6) | 25 (24) | 25 (25) | 24 (27) | 24 (36) | 23 (48) | 11/15 |
| xNESas schaul | 3.6 (6) | 4.3 (4) | 18 (20) | 18 (20) | 18 (19) | 17 (19) | 16 (18) | 14/15 |
| Δ fopt f16, 5-D |
1e1 120 |
1e0 612 |
1e-1 2662 |
1e-2 10163 |
1e-3 10449 |
1e-5 11644 |
1e-7 12095 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 7.0 (9) | 325 (232) | 154 (187) | 65 (79) | 66 (77) | 70 (66) | 75 (83) | 15/15 |
| BIPOPaCMA loshchilov | 3.6 (2) | 3.5 (3) | 1.8 (2) | 0.75 (1.0) | 0.74 (1.0) | 0.71 (0.8) | 0.71 (0.8) | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (4) | 4.3 (2) | 1.6 (1) | 0.69 (0.7) | 0.82 (0.7) | 0.77 (0.7) | 0.79 (0.7) | 15/15 |
| CMAES posik | 2.0 (2) | 3.6 (4) | 2.7 (4) | 3.2 (5) | 4.5 (8) | 5.8 (7) | 5.7 (7) | 15/15 |
| CMA brockhoff | 2.3 (2) | 3.1 (3) | 1.9 (2) | 0.73 (0.7) | 1.1 (1) | 1.00 (1) | 1.00 (1) | 15/15 |
| CMAa brockhoff | 1.7 (1) | 2.8 (3) | 2.2 (2) | 0.77 (0.7) | 0.84 (0.6) | 0.80 (0.5) | 0.80 (0.5) | 15/15 |
| CMAm brockhoff | 2.9 (4) | 5.0 (6) | 3.0 (2) | 1.0 (0.6) | 1.0 (0.6) | 1.1 (0.7) | 1.1 (0.7) | 15/15 |
| CMAma brockhoff | 2.3 (2) | 3.3 (5) | 1.7 (0.8) | 0.84 (0.6) | 0.88 (0.6) | 0.83 (0.5) | 0.83 (0.5) | 15/15 |
| CMAmah brockhoff | 2.3 (1) | 3.8 (4) | 2.4 (2) | 0.94 (0.7) | 0.94 (0.7) | 0.90 (0.6) | 0.90 (0.6) | 15/15 |
| CMAmh brockhoff | 2.9 (1) | 3.8 (3) | 2.5 (1) | 1.2 (1) | 1.2 (1) | 1.1 (1.0) | 1.1 (1.0) | 15/15 |
| DBRCGA chuang | 2.2 (1) | 27 (41) | 38 (51) | 34 (34) | 50 (60) | 86 (68) | 101 (133) | 5/15 |
| DE-AUTO voglis | 6.6 (15) | 115 (105) | 99 (95) | 65 (65) | 93 (114) | 86 (45) | 605 (801) | 1/15 |
| DE-BFGS voglis | 8.0 (8) | 17 (12) | 21 (9) | 12 (25) | 33 (51) | 30 (44) | 585 (622) | 0/15 |
| DE-ROLL voglis | 8.3 (9) | 69 (41) | 62 (96) | 69 (111) | 73 (88) | 110 (148) | 616 (497) | 0/15 |
| DE-SIMPLEX voglis | 2.4 (2) | 7.6 (7) | 19 (25) | 7.6 (9) | 10 (9) | 10 (8) | 37 (55) | 7/15 |
| DEAE posik | 3.2 (4) | 26 (15) | 12 (9) | 3.2 (3) | 3.2 (2) | 3.3 (3) | 3.2 (2) | 15/15 |
| DE posik | 5.2 (6) | 31 (13) | 17 (16) | 8.1 (6) | 11 (10) | 10 (9) | 10 (8) | 14/15 |
| DEb posik | 5.2 (6) | 31 (13) | 17 (16) | 8.1 (6) | 11 (10) | 10 (9) | 10 (8) | 14/15 |
| DEctpb posik | 3.9 (5) | 54 (30) | 52 (30) | 53 (49) | 165 (161) | 149 (182) | 144 (149) | 2/15 |
| IPOPsaACM loshchilov | 3.1 (4) | 2.4 (2) | 1.0 (1) | 0.49 (0.6) | 0.52 (0.6) | 0.55 (0.6) | 0.55 (0.5) | 15/15 |
| JADE posik | 2.9 (5) | 10 (5) | 36 (48) | 64 (52) | ∞ | ∞ | ∞2e5 | 0/15 |
| JADEb posik | 3.1 (3) | 4.5 (2) | 6.8 (8) | 4.4 (7) | 7.6 (13) | 8.4 (12) | 8.7 (11) | 12/15 |
| JADEctpb posik | 2.9 (5) | 10 (5) | 36 (57) | 64 (51) | ∞ | ∞ | ∞2e5 | 0/15 |
| MVDE melo | 1.8 (2) | 24 (11) | 90 (163) | 116 (126) | 1411 (1149) | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.6 (2) | 4.6 (6) | 2.4 (2) | 0.99 (1) | 0.99 (1) | 0.94 (1.0) | 0.93 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 1.8 (2) | 2.7 (5) | 1.0 (1) | 0.55 (0.6) | 0.56 (0.6) | 0.55 (0.5) | 0.57 (0.5) | 15/15 |
| PSO-BFGS voglis | 7.0 (8) | 41 (37) | 75 (112) | 62 (76) | 111 (165) | 298 (459) | 594 (518) | 1/15 |
| SNES schaul | 3.0 (3) | 7.8 (16) | 13 (24) | 5.1 (6) | 11 (10) | 41 (43) | 61 (83) | 9/15 |
| xNES schaul | 2.0 (2) | 3.6 (2) | 4.4 (8) | 2.4 (3) | 2.5 (3) | 2.3 (3) | 2.2 (3) | 15/15 |
| xNESas schaul | 2.3 (2) | 5.3 (8) | 1.7 (3) | 1.6 (2) | 1.8 (2) | 1.6 (2) | 1.6 (2) | 15/15 |
| Δ fopt f17, 5-D |
1e1 5.0 |
1e0 215 |
1e-1 899 |
1e-2 2861 |
1e-3 3669 |
1e-5 6351 |
1e-7 7934 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.2 (3) | 1.8 (0.4) | 0.95 (0.2) | 0.49 (0.1)↑0 | 2.8 (8) | 7.5 (9) | 11 (14) | 15/15 |
| BIPOPaCMA loshchilov | 3.9 (6) | 0.86 (0.3) | 1.1 (2) | 0.83 (0.6) | 0.83 (0.5) | 0.94 (0.7) | 1.4 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 4.0 (6) | 1.0 (1) | 1.2 (2) | 0.80 (0.7) | 0.92 (0.5) | 1.1 (0.4) | 1.4 (1) | 15/15 |
| CMAES posik | 4.3 (4) | 0.96 (0.4) | 0.74 (0.2)↑1 | 0.74 (1) | 1.2 (2) | 8.5 (11) | 30 (31) | 9/15 |
| CMA brockhoff | 1.9 (2) | 0.82 (0.3)↑1 | 0.93 (2) | 0.75 (0.6) | 0.89 (0.6) | 1.1 (0.7) | 1.2 (0.4) | 15/15 |
| CMAa brockhoff | 2.7 (2) | 1.3 (0.4) | 0.77 (1.0) | 0.69 (0.6) | 0.89 (0.5) | 0.81 (0.3) | 1.0 (0.4) | 15/15 |
| CMAm brockhoff | 3.6 (3) | 0.85 (0.5) | 0.58 (0.1)↑1 | 0.47 (0.4)↑1 | 0.73 (0.4)↑1 | 0.77 (0.5) | 0.91 (0.3) | 15/15 |
| CMAma brockhoff | 3.5 (2) | 1.5 (0.4) | 1.1 (1) | 0.71 (0.6) | 0.84 (0.9) | 0.82 (0.5) | 0.96 (0.4) | 15/15 |
| CMAmah brockhoff | 3.2 (2) | 1.5 (2) | 2.1 (2) | 1.2 (0.6) | 1.3 (0.8) | 1.1 (0.5) | 1.0 (0.4) | 15/15 |
| CMAmh brockhoff | 2.6 (2) | 1.2 (0.6) | 2.6 (3) | 1.5 (2) | 1.5 (1.0) | 1.4 (0.6) | 1.5 (0.6) | 15/15 |
| DBRCGA chuang | 3.9 (5) | 5.4 (0.8) | 7.7 (1) | 12 (12) | 16 (14) | 38 (37) | 88 (103) | 4/15 |
| DE-AUTO voglis | 3.9 (3) | 163 (53) | 120 (212) | 52 (70) | 47 (57) | 35 (32) | 41 (46) | 10/15 |
| DE-BFGS voglis | 3.1 (3) | 7.1 (7) | 35 (110) | 12 (35) | 10 (27) | 6.9 (16) | 145 (126) | 0/15 |
| DE-ROLL voglis | 2.8 (3) | 47 (41) | 125 (261) | 60 (88) | 54 (69) | 45 (40) | 898 (1295) | 1/15 |
| DE-SIMPLEX voglis | 2.6 (2) | 23 (16) | 55 (35) | 29 (44) | 24 (34) | 15 (20) | 887 (1136) | 0/15 |
| DEAE posik | 3.2 (4) | 2.7 (1) | 1.5 (0.2) | 0.78 (0.1)↑0 | 0.85 (0.1) | 0.80 (0.1)↑0 | 0.91 (0.1)↑1 | 15/15 |
| DE posik | 4.2 (6) | 3.2 (1.0) | 2.2 (0.5) | 1.3 (0.3) | 2.1 (0.5) | 2.8 (2) | 3.3 (3) | 15/15 |
| DEb posik | 4.2 (6) | 3.2 (1.0) | 2.2 (0.5) | 1.3 (0.3) | 2.1 (0.5) | 2.8 (2) | 3.3 (3) | 15/15 |
| DEctpb posik | 4.3 (5) | 3.4 (1) | 2.6 (0.9) | 1.7 (0.4) | 2.1 (0.5) | 2.1 (0.5) | 3.7 (2) | 15/15 |
| IPOPsaACM loshchilov | 5.1 (4) | 1.7 (0.4) | 1.1 (1) | 0.83 (0.6) | 0.85 (0.5) | 1.2 (0.5) | 1.4 (0.8) | 15/15 |
| JADE posik | 3.5 (4) | 2.5 (0.7) | 1.9 (0.3) | 1.0 (0.2) | 1.2 (0.2) | 1.2 (0.3) | 1.2 (0.2) | 15/15 |
| JADEb posik | 3.2 (3) | 1.4 (0.6) | 3.3 (7) | 3.7 (7) | 3.4 (7) | 5.3 (5) | 9.0 (7) | 13/15 |
| JADEctpb posik | 3.5 (4) | 2.5 (0.7) | 1.9 (0.3) | 1.0 (0.2) | 1.2 (0.2) | 1.2 (0.3) | 1.2 (0.2) | 15/15 |
| MVDE melo | 3.1 (4) | 5.8 (2) | 5.8 (2) | 4.5 (1) | 6.8 (3) | 10 (6) | 32 (64) | 13/15 |
| NBIPOPaCMA loshchilov | 6.7 (6) | 5.7 (7) | 2.1 (2) | 0.95 (0.6) | 1.1 (1) | 1.0 (0.6) | 1.3 (0.7) | 15/15 |
| NIPOPaCMA loshchilov | 5.7 (5) | 0.99 (0.4) | 0.88 (2) | 0.49 (0.5) | 0.98 (0.9) | 0.90 (0.4) | 1.0 (0.4) | 15/15 |
| PSO-BFGS voglis | 1.6 (1) | 26 (15) | 21 (19) | 14 (24) | 13 (21) | 9.2 (12) | 907 (758) | 0/15 |
| SNES schaul | 5.6 (4) | 4.2 (0.9) | 3.6 (6) | 2.6 (4) | 2.7 (3) | 8.1 (9) | 19 (20) | 14/15 |
| xNES schaul | 4.7 (6) | 1.1 (0.4) | 0.79 (0.2)↑1 | 0.42 (0.1)↑0 | 0.47 (0.1)↑0 | 1.3 (1) | 6.1 (9) | 15/15 |
| xNESas schaul | 7.1 (8) | 1.0 (0.7) | 1.1 (0.7) | 0.76 (0.9) | 0.81 (0.7) | 1.4 (1) | 2.0 (3) | 15/15 |
| Δ fopt f18, 5-D |
1e1 103 |
1e0 378 |
1e-1 3968 |
1e-2 8451 |
1e-3 9280 |
1e-5 10905 |
1e-7 12469 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.9 (1) | 2.4 (1) | 5.8 (14) | 18 (17) | 36 (38) | 82 (70) | 80 (60) | 15/15 |
| BIPOPaCMA loshchilov | 1.2 (0.3) | 2.0 (3) | 0.62 (0.5) | 0.69 (0.5) | 0.76 (0.3) | 0.86 (0.3) | 0.98 (0.3) | 15/15 |
| BIPOPsaACM loshchilov | 2.5 (1) | 3.1 (4) | 0.82 (1.0) | 0.71 (0.9) | 0.76 (0.7) | 1.2 (0.7) | 1.4 (0.7) | 15/15 |
| CMAES posik | 1.2 (0.8) | 2.2 (4) | 1.5 (2) | 4.1 (5) | 11 (11) | 76 (67) | 92 (69) | 3/15 |
| CMA brockhoff | 1.2 (0.9) | 1.6 (0.8) | 1.6 (2) | 0.93 (0.9) | 0.97 (0.8) | 1.0 (0.7) | 1.1 (0.5) | 15/15 |
| CMAa brockhoff | 0.83 (0.3) | 1.7 (0.3) | 0.44 (0.5) | 0.48 (0.4)↑1 | 0.66 (0.3) | 0.76 (0.3) | 0.94 (0.6) | 15/15 |
| CMAm brockhoff | 0.94 (0.7) | 0.77 (0.3) | 0.53 (0.6) | 0.68 (0.5) | 0.79 (0.4) | 0.82 (0.3) | 0.85 (0.3) | 15/15 |
| CMAma brockhoff | 0.89 (0.7) | 1.2 (0.8) | 0.63 (0.5) | 0.52 (0.4)↑1 | 0.69 (0.6) | 0.67 (0.6) | 0.71 (0.5) | 15/15 |
| CMAmah brockhoff | 6.2 (2) | 7.2 (11) | 1.5 (1) | 1.1 (0.7) | 1.2 (0.6) | 1.1 (0.7) | 1.1 (0.6) | 15/15 |
| CMAmh brockhoff | 0.51 (0.3)↑0 | 2.6 (3) | 1.1 (1) | 1.1 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 15/15 |
| DBRCGA chuang | 5.0 (3) | 12 (2) | 5.4 (9) | 13 (13) | 100 (152) | ∞ | ∞5e5 | 0/15 |
| DE-AUTO voglis | 48 (107) | 161 (60) | 60 (98) | 55 (57) | 54 (45) | 60 (69) | 84 (102) | 2/15 |
| DE-BFGS voglis | 5.7 (7) | 18 (10) | 28 (63) | 14 (34) | 19 (33) | 20 (23) | 587 (595) | 0/15 |
| DE-ROLL voglis | 49 (69) | 112 (57) | 65 (66) | 60 (39) | 88 (91) | ∞ | ∞5e5 | 0/15 |
| DE-SIMPLEX voglis | 23 (23) | 155 (285) | 62 (99) | 68 (81) | 65 (84) | 74 (82) | 575 (894) | 0/15 |
| DEAE posik | 2.4 (1) | 2.8 (0.8) | 0.50 (0.1)↑0 | 0.36 (0.1)↑0 | 0.43 (0.1)↑0 | 0.53 (0.1)↑0 | 0.69 (0.5) | 15/15 |
| DE posik | 2.5 (2) | 4.4 (2) | 1.4 (0.7) | 2.1 (3) | 2.8 (3) | 7.7 (9) | 40 (46) | 5/15 |
| DEb posik | 2.5 (2) | 4.4 (2) | 1.4 (0.7) | 2.1 (3) | 2.8 (3) | 7.7 (9) | 40 (48) | 5/15 |
| DEctpb posik | 2.9 (2) | 4.9 (2) | 1.5 (0.7) | 1.6 (0.9) | 2.3 (1.0) | 6.7 (7) | 290 (180) | 1/15 |
| IPOPsaACM loshchilov | 2.8 (0.8) | 1.5 (0.5) | 0.64 (0.7) | 0.79 (0.4) | 0.85 (0.7) | 1.0 (0.4) | 1.1 (0.4) | 15/15 |
| JADE posik | 1.9 (1) | 3.3 (0.7) | 0.72 (0.1)↑1 | 0.53 (0.1)↑0 | 0.60 (0.1)↑0 | 1.1 (0.2) | 1.1 (0.2) | 15/15 |
| JADEb posik | 1.8 (1) | 4.0 (1) | 2.5 (3) | 2.0 (3) | 12 (16) | 72 (60) | ∞2e5 | 0/15 |
| JADEctpb posik | 1.9 (1) | 3.3 (0.7) | 0.72 (0.1)↑1 | 0.53 (0.1)↑0 | 0.60 (0.1)↑0 | 1.1 (0.2) | 1.1 (0.2) | 15/15 |
| MVDE melo | 4.2 (1) | 10 (4) | 4.3 (2) | 7.9 (3) | 18 (10) | 39 (24) | 50 (28) | 12/15 |
| NBIPOPaCMA loshchilov | 1.0 (0.6) | 3.0 (7) | 0.68 (0.9) | 0.80 (0.7) | 0.99 (0.4) | 1.0 (0.4) | 1.1 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 1.1 (0.7) | 1.5 (1) | 0.49 (0.6) | 0.90 (0.9) | 0.99 (0.7) | 1.1 (0.7) | 1.1 (0.4) | 15/15 |
| PSO-BFGS voglis | 24 (18) | 37 (11) | 16 (10) | 24 (31) | 38 (49) | 53 (57) | ∞5e5 | 0/15 |
| SNES schaul | 1.1 (0.9) | 6.3 (13) | 1.9 (3) | 5.9 (8) | 20 (22) | 647 (597) | ∞1e6 | 0/15 |
| xNES schaul | 1.2 (1) | 1.3 (0.5) | 0.43 (0.1)↑1 | 0.27 (0.0)↑1 | 0.51 (0.6) | 2.0 (2) | 3.6 (4) | 15/15 |
| xNESas schaul | 0.80 (0.5) | 1.4 (0.3) | 0.25 (0.1)↑0 | 0.31 (0.3)↑1 | 0.43 (0.5) | 1.4 (0.9) | 2.0 (3) | 15/15 |
| Δ fopt f19, 5-D |
1e1 1 |
1e0 1 |
1e-1 242 |
1e-2 1.0e5 |
1e-3 1.2e5 |
1e-5 1.2e5 |
1e-7 1.2e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 28 (28) | 3135 (4608) | 626 (612) | 10 (13) | 17 (38) | 17 (38) | 17 (38) | 14/15 |
| BIPOPaCMA loshchilov | 22 (14) | 1466 (1186) | 186 (177) | 1.9 (1) | 2.0 (1) | 2.0 (1) | 2.0 (1) | 15/15 |
| BIPOPsaACM loshchilov | 16 (14) | 1834 (1246) | 92 (142) | 0.88 (0.6) | 0.85 (0.6) | 0.85 (0.6) | 0.85 (0.6) | 15/15 |
| CMAES posik | 21 (13) | 2230 (1651) | 328 (335) | 7.5 (9) | ∞ | ∞ | ∞3e5 | 0/15 |
| CMA brockhoff | 15 (14) | 1796 (1570) | 573 (828) | 2.0 (2) | 2.1 (2) | 2.1 (2) | 2.1 (2) | 15/15 |
| CMAa brockhoff | 24 (10) | 6888 (1525) | 463 (417) | 3.3 (3) | 3.0 (3) | 3.0 (3) | 3.0 (3) | 14/15 |
| CMAm brockhoff | 20 (16) | 1379 (1430) | 551 (661) | 2.4 (2) | 2.3 (2) | 2.3 (2) | 2.3 (2) | 15/15 |
| CMAma brockhoff | 18 (13) | 1297 (924) | 259 (256) | 1.6 (2) | 1.9 (2) | 1.9 (2) | 1.9 (2) | 15/15 |
| CMAmah brockhoff | 17 (12) | 1167 (656) | 518 (491) | 2.5 (2) | 2.4 (2) | 2.4 (2) | 2.3 (2) | 15/15 |
| CMAmh brockhoff | 12 (15) | 3.1e4 (8e4) | 421 (494) | 2.6 (2) | 2.5 (2) | 2.5 (2) | 2.5 (2) | 15/15 |
| DBRCGA chuang | 28 (26) | 3184 (1818) | 860 (1120) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE-AUTO voglis | 323 (28) | 1.3e4 (1e4) | 361 (227) | 6.5 (5) | 19 (15) | 19 (17) | 19 (19) | 3/15 |
| DE-BFGS voglis | 40 (38) | 2166 (1133) | 71 (66) | 2.1 (1) | 4.3 (5) | 4.3 (4) | 11 (6) | 2/15 |
| DE-ROLL voglis | 38 (26) | 5195 (8159) | 502 (490) | 34 (27) | 61 (60) | 61 (58) | ∞5e5 | 0/15 |
| DE-SIMPLEX voglis | 62 (16) | 2807 (2948) | 68 (95) | 1.5 (1) | 4.7 (4) | 4.7 (5) | 4.7 (5) | 9/15 |
| DEAE posik | 32 (38) | 3555 (2186) | 388 (230) | 3.9 (5) | 6.7 (8) | 6.7 (8) | 6.6 (5) | 4/15 |
| DE posik | 32 (28) | 4210 (2571) | 1107 (1377) | 11 (9) | 15 (18) | 15 (18) | 15 (11) | 2/15 |
| DEb posik | 32 (28) | 4210 (2571) | 1107 (1111) | 11 (11) | 15 (11) | 15 (21) | 15 (23) | 2/15 |
| DEctpb posik | 34 (41) | 3526 (3425) | 1051 (1297) | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| IPOPsaACM loshchilov | 19 (16) | 1931 (1477) | 250 (254) | 1.2 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 15/15 |
| JADE posik | 35 (26) | 2139 (2314) | 276 (160) | 11 (13) | ∞ | ∞ | ∞2e5 | 0/15 |
| JADEb posik | 30 (24) | 3020 (2620) | 587 (873) | 6.0 (7) | 9.5 (8) | 9.4 (13) | 9.4 (8) | 3/15 |
| JADEctpb posik | 35 (26) | 2139 (2314) | 276 (160) | 11 (12) | ∞ | ∞ | ∞2e5 | 0/15 |
| MVDE melo | 34 (26) | 4483 (4878) | 757 (723) | 30 (45) | 56 (68) | 120 (83) | 120 (127) | 1/15 |
| NBIPOPaCMA loshchilov | 20 (20) | 2026 (1762) | 156 (138) | 2.6 (4) | 2.6 (4) | 2.6 (4) | 2.6 (4) | 15/15 |
| NIPOPaCMA loshchilov | 16 (16) | 1813 (1877) | 324 (474) | 2.9 (3) | 2.7 (3) | 2.7 (3) | 2.7 (3) | 15/15 |
| PSO-BFGS voglis | 69 (94) | 2559 (2762) | 60 (51) | 2.3 (1) | 3.6 (3) | 3.6 (2) | 19 (19) | 1/15 |
| SNES schaul | 14 (12) | 3327 (5308) | 1669 (2124) | 41 (40) | 36 (23) | 36 (27) | 36 (41) | 3/15 |
| xNES schaul | 15 (16) | 2009 (1734) | 386 (503) | 4.2 (5) | 5.3 (6) | 5.3 (5) | 5.6 (6) | 10/15 |
| xNESas schaul | 17 (18) | 3280 (5087) | 543 (793) | 8.8 (9) | 11 (8) | 20 (25) | 21 (17) | 6/15 |
| Δ fopt f20, 5-D |
1e1 16 |
1e0 851 |
1e-1 38111 |
1e-2 51362 |
1e-3 54470 |
1e-5 54861 |
1e-7 55313 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.0 (2) | 3.2 (4) | 3.3 (4) | 2.5 (3) | 2.3 (3) | 2.3 (3) | 2.3 (3) | 15/15 |
| BIPOPaCMA loshchilov | 3.4 (3) | 10 (11) | 2.4 (1) | 1.8 (0.9) | 1.7 (0.9) | 1.8 (0.9) | 1.8 (0.9) | 15/15 |
| BIPOPsaACM loshchilov | 3.1 (2) | 3.8 (4) | 1.7 (1) | 1.3 (1) | 1.2 (1.0) | 1.2 (1.0) | 1.2 (1.0) | 15/15 |
| CMAES posik | 3.7 (3) | 27 (28) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| CMA brockhoff | 3.7 (2) | 8.3 (6) | 1.7 (0.8) | 1.3 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 15/15 |
| CMAa brockhoff | 2.5 (2) | 9.1 (3) | 1.7 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 15/15 |
| CMAm brockhoff | 3.0 (3) | 9.0 (4) | 1.7 (0.8) | 1.3 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 15/15 |
| CMAma brockhoff | 2.4 (2) | 9.4 (6) | 1.7 (2) | 1.4 (1) | 1.3 (1) | 1.3 (1) | 1.4 (1) | 15/15 |
| CMAmah brockhoff | 2.3 (2) | 11 (4) | 1.6 (2) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 15/15 |
| CMAmh brockhoff | 2.6 (1) | 14 (12) | 1.7 (2) | 1.3 (1) | 1.3 (1) | 1.3 (1) | 1.3 (1) | 15/15 |
| DBRCGA chuang | 18 (15) | 4.4 (6) | 2.4 (2) | 1.8 (1) | 1.7 (1) | 1.7 (1) | 1.7 (1) | 14/15 |
| DE-AUTO voglis | 4.0 (1) | 7.2 (6) | 14 (17) | 10 (17) | 10 (10) | 10 (9) | 10 (13) | 9/15 |
| DE-BFGS voglis | 4.1 (2) | 2.8 (1) | 10 (14) | 7.5 (6) | 7.1 (10) | 7.0 (8) | 7.0 (6) | 10/15 |
| DE-ROLL voglis | 15 (19) | 3.1 (3) | 4.0 (6) | 3.0 (4) | 2.8 (4) | 2.8 (4) | 2.8 (4) | 14/15 |
| DE-SIMPLEX voglis | 6.4 (2) | 4.7 (5) | 19 (17) | 14 (15) | 13 (21) | 13 (13) | 13 (14) | 7/15 |
| DEAE posik | 10 (7) | 3.0 (2) | 1.6 (1) | 1.2 (1) | 1.1 (1) | 1.1 (1) | 1.1 (1) | 14/15 |
| DE posik | 8.8 (6) | 1.9 (0.7) | 0.57 (0.8) | 0.43 (0.6) | 0.41 (0.6) | 0.42 (0.6) | 0.42 (0.5) | 15/15 |
| DEb posik | 8.8 (6) | 1.9 (0.7) | 0.57 (0.8) | 0.43 (0.6) | 0.41 (0.6) | 0.42 (0.6) | 0.42 (0.5) | 15/15 |
| DEctpb posik | 7.7 (6) | 2.1 (1) | 0.14 (0.0)↑0 | 0.13 (0.0)↑0 | 0.14 (0.0)↑0 | 0.16 (0.0)↑0 | 0.17 (0.0)↑0 | 15/15 |
| IPOPsaACM loshchilov | 2.4 (2) | 3.5 (3) | 1.6 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 15/15 |
| JADE posik | 4.9 (3) | 2.3 (2) | 0.25 (0.2)↑1 | 0.22 (0.1)↑0 | 0.25 (0.2)↑0 | 0.29 (0.2)↑0 | 0.33 (0.2)↑0 | 15/15 |
| JADEb posik | 5.8 (4) | 0.91 (0.3) | 1.7 (2) | 1.3 (2) | 1.2 (2) | 1.2 (2) | 1.2 (2) | 14/15 |
| JADEctpb posik | 4.9 (3) | 2.3 (2) | 0.25 (0.2)↑1 | 0.22 (0.1)↑0 | 0.25 (0.2)↑0 | 0.29 (0.2)↑0 | 0.33 (0.2)↑0 | 15/15 |
| MVDE melo | 14 (8) | 2.7 (2) | 0.23 (0.1)↑0 | 0.23 (0.1)↑0 | 0.26 (0.1)↑0 | 0.32 (0.1)↑0 | 0.35 (0.1)↑0 | 15/15 |
| NBIPOPaCMA loshchilov | 3.6 (3) | 11 (12) | 2.4 (1) | 1.8 (1) | 1.8 (1) | 1.8 (1) | 1.8 (1) | 15/15 |
| NIPOPaCMA loshchilov | 3.2 (2) | 10 (5) | 2.1 (2) | 1.7 (1) | 1.6 (1) | 1.6 (1) | 1.7 (1) | 15/15 |
| PSO-BFGS voglis | 4.9 (0.9) | 5.4 (7) | 3.5 (3) | 2.6 (2) | 2.4 (2) | 2.4 (2) | 2.4 (2) | 14/15 |
| SNES schaul | 2.3 (2) | 29 (29) | 23 (24) | 17 (11) | 16 (21) | 16 (16) | 16 (12) | 11/15 |
| xNES schaul | 2.3 (2) | 10 (12) | 11 (12) | 8.5 (7) | 8.0 (10) | 8.0 (6) | 7.9 (10) | 13/15 |
| xNESas schaul | 3.2 (3) | 12 (22) | 21 (29) | 15 (21) | 15 (16) | 15 (15) | 14 (15) | 12/15 |
| Δ fopt f21, 5-D |
1e1 41 |
1e0 1157 |
1e-1 1674 |
1e-2 1692 |
1e-3 1705 |
1e-5 1729 |
1e-7 1757 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.8 (4) | 118 (196) | 299 (212) | 296 (210) | 294 (209) | 290 (206) | 285 (202) | 15/15 |
| BIPOPaCMA loshchilov | 1.8 (0.9) | 7.4 (8) | 49 (23) | 50 (22) | 50 (22) | 50 (22) | 49 (22) | 15/15 |
| BIPOPsaACM loshchilov | 1.9 (1) | 3.4 (4) | 4.9 (8) | 5.0 (8) | 5.0 (8) | 4.9 (8) | 4.9 (8) | 15/15 |
| CMAES posik | 1.8 (1) | 3.1 (3) | 3.9 (5) | 3.9 (5) | 3.9 (5) | 3.9 (5) | 3.9 (5) | 15/15 |
| CMA brockhoff | 6.6 (16) | 7.3 (14) | 43 (106) | 43 (121) | 43 (112) | 43 (111) | 42 (102) | 13/15 |
| CMAa brockhoff | 1.9 (1) | 28 (14) | 23 (20) | 23 (20) | 23 (21) | 23 (21) | 22 (22) | 14/15 |
| CMAm brockhoff | 1.4 (1) | 26 (8) | 21 (20) | 21 (20) | 21 (21) | 21 (21) | 21 (21) | 14/15 |
| CMAma brockhoff | 2.0 (2) | 5.0 (5) | 22 (18) | 40 (117) | 39 (116) | 39 (107) | 39 (106) | 13/15 |
| CMAmah brockhoff | 3.6 (4) | 2.7 (3) | 5.7 (10) | 5.8 (11) | 5.9 (11) | 6.0 (11) | 6.1 (11) | 15/15 |
| CMAmh brockhoff | 3.3 (1) | 5.6 (6) | 40 (62) | 41 (63) | 41 (63) | 42 (70) | 42 (69) | 14/15 |
| DBRCGA chuang | 3.2 (3) | 2.2 (5) | 2.1 (4) | 2.4 (3) | 2.7 (3) | 3.3 (3) | 3.8 (3) | 15/15 |
| DE-AUTO voglis | 10 (24) | 26 (47) | 36 (72) | 36 (71) | 36 (71) | 35 (70) | 35 (69) | 15/15 |
| DE-BFGS voglis | 2.2 (2) | 1.6 (2) | 2.7 (3) | 2.7 (3) | 2.7 (3) | 2.7 (3) | 16 (15) | 12/15 |
| DE-ROLL voglis | 10 (21) | 33 (51) | 31 (39) | 31 (39) | 31 (39) | 30 (38) | 30 (38) | 15/15 |
| DE-SIMPLEX voglis | 3.2 (2) | 19 (23) | 19 (17) | 19 (17) | 19 (17) | 18 (17) | 18 (17) | 15/15 |
| DEAE posik | 3.1 (3) | 1.2 (0.7) | 2.5 (3) | 2.6 (3) | 2.7 (3) | 2.9 (3) | 2.9 (3) | 15/15 |
| DE posik | 2.7 (3) | 3.9 (6) | 3.7 (4) | 3.9 (4) | 4.0 (4) | 4.3 (4) | 4.5 (4) | 15/15 |
| DEb posik | 2.7 (3) | 3.9 (6) | 3.7 (4) | 3.9 (4) | 4.0 (4) | 4.3 (4) | 4.5 (4) | 15/15 |
| DEctpb posik | 3.2 (3) | 5.5 (5) | 4.5 (4) | 5.0 (4) | 5.3 (4) | 5.8 (4) | 6.2 (4) | 15/15 |
| IPOPsaACM loshchilov | 2.9 (2) | 1.6 (2) | 28 (23) | 28 (26) | 28 (26) | 28 (26) | 27 (26) | 15/15 |
| JADE posik | 1.7 (2) | 1.1 (1) | 1.2 (1) | 2.2 (3) | 2.8 (4) | 5.0 (9) | 8.2 (13) | 15/15 |
| JADEb posik | 2.3 (2) | 4.4 (5) | 4.4 (4) | 4.4 (4) | 4.4 (4) | 4.5 (4) | 4.6 (4) | 15/15 |
| JADEctpb posik | 1.7 (2) | 1.1 (1) | 1.2 (1) | 2.2 (3) | 2.8 (4) | 5.0 (9) | 8.2 (13) | 15/15 |
| MVDE melo | 4.3 (3) | 1.5 (0.8) | 2.8 (2) | 4.1 (3) | 5.9 (3) | 10 (4) | 13 (4) | 15/15 |
| NBIPOPaCMA loshchilov | 2.1 (2) | 11 (10) | 31 (62) | 30 (61) | 30 (61) | 30 (60) | 29 (59) | 15/15 |
| NIPOPaCMA loshchilov | 4.1 (1) | 76 (145) | 272 (620) | 270 (613) | 269 (609) | 266 (601) | 263 (591) | 15/15 |
| PSO-BFGS voglis | 1.8 (2) | 0.88 (1) | 1.6 (2) | 1.6 (2) | 1.6 (2) | 1.6 (2) | 29 (55) | 13/15 |
| SNES schaul | 51 (123) | 46 (73) | 53 (65) | 53 (64) | 52 (63) | 52 (62) | 51 (62) | 15/15 |
| xNES schaul | 34 (123) | 29 (37) | 32 (44) | 32 (44) | 32 (44) | 31 (43) | 31 (42) | 15/15 |
| xNESas schaul | 12 (1) | 23 (25) | 36 (57) | 36 (56) | 35 (56) | 35 (55) | 35 (54) | 15/15 |
| Δ fopt f22, 5-D |
1e1 71 |
1e0 386 |
1e-1 938 |
1e-2 980 |
1e-3 1008 |
1e-5 1040 |
1e-7 1068 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.9 (3) | 143 (261) | 855 (1544) | 819 (1478) | 797 (1437) | 775 (1394) | 756 (1358) | 15/15 |
| BIPOPaCMA loshchilov | 14 (13) | 16 (22) | 38 (92) | 37 (89) | 36 (86) | 35 (84) | 34 (82) | 15/15 |
| BIPOPsaACM loshchilov | 2.2 (4) | 3.2 (4) | 14 (27) | 14 (25) | 13 (25) | 13 (24) | 13 (23) | 15/15 |
| CMAES posik | 9.3 (10) | 21 (28) | 18 (31) | 17 (29) | 17 (28) | 16 (28) | 16 (27) | 15/15 |
| CMA brockhoff | 10 (11) | 87 (40) | 292 (380) | 431 (749) | 554 (737) | 537 (1272) | 524 (460) | 6/15 |
| CMAa brockhoff | 15 (24) | 87 (30) | 379 (525) | 445 (531) | 433 (611) | 421 (387) | 411 (489) | 7/15 |
| CMAm brockhoff | 12 (23) | 17 (26) | 144 (222) | 456 (557) | 444 (714) | 431 (549) | 421 (492) | 7/15 |
| CMAma brockhoff | 2.0 (0.8) | 94 (72) | 250 (475) | 475 (678) | 465 (550) | 453 (708) | 442 (353) | 7/15 |
| CMAmah brockhoff | 6.3 (14) | 130 (263) | 289 (495) | 277 (401) | 346 (553) | 336 (670) | 328 (513) | 8/15 |
| CMAmh brockhoff | 5.3 (8) | 38 (29) | 288 (496) | 351 (807) | 436 (378) | 425 (566) | 414 (612) | 7/15 |
| DBRCGA chuang | 2.6 (3) | 6.7 (5) | 11 (11) | 12 (11) | 12 (10) | 15 (11) | 16 (11) | 15/15 |
| DE-AUTO voglis | 8.1 (15) | 84 (101) | 102 (128) | 97 (123) | 95 (119) | 92 (115) | 95 (103) | 15/15 |
| DE-BFGS voglis | 6.7 (15) | 13 (27) | 23 (24) | 22 (23) | 21 (22) | 21 (22) | 131 (234) | 8/15 |
| DE-ROLL voglis | 16 (24) | 144 (290) | 150 (233) | 144 (223) | 143 (217) | 144 (215) | 208 (237) | 8/15 |
| DE-SIMPLEX voglis | 6.5 (8) | 29 (74) | 44 (47) | 42 (45) | 41 (44) | 40 (42) | 39 (41) | 15/15 |
| DEAE posik | 3.2 (2) | 6.2 (7) | 10 (14) | 10 (13) | 10 (13) | 10 (12) | 10 (12) | 15/15 |
| DE posik | 5.0 (4) | 13 (16) | 17 (25) | 17 (23) | 17 (22) | 18 (22) | 19 (21) | 15/15 |
| DEb posik | 5.0 (4) | 13 (16) | 17 (25) | 17 (23) | 17 (22) | 18 (22) | 19 (21) | 15/15 |
| DEctpb posik | 5.1 (5) | 7.9 (13) | 11 (15) | 12 (14) | 13 (14) | 16 (13) | 17 (13) | 15/15 |
| IPOPsaACM loshchilov | 3.4 (5) | 12 (13) | 85 (258) | 115 (274) | 116 (267) | 113 (259) | 110 (252) | 15/15 |
| JADE posik | 2.1 (1) | 3.4 (3) | 8.0 (11) | 10 (12) | 12 (18) | 16 (27) | 17 (30) | 15/15 |
| JADEb posik | 12 (30) | 16 (19) | 14 (10) | 14 (10) | 14 (10) | 14 (9) | 14 (9) | 15/15 |
| JADEctpb posik | 2.1 (1) | 3.4 (3) | 8.0 (11) | 10 (12) | 12 (18) | 16 (27) | 17 (30) | 15/15 |
| MVDE melo | 4.4 (3) | 5.5 (3) | 85 (14) | 92 (51) | 98 (52) | 113 (58) | 124 (58) | 14/15 |
| NBIPOPaCMA loshchilov | 8.9 (11) | 14 (18) | 18 (19) | 18 (18) | 17 (18) | 17 (18) | 17 (17) | 15/15 |
| NIPOPaCMA loshchilov | 4.0 (10) | 258 (468) | 338 (714) | 325 (684) | 317 (665) | 308 (644) | 300 (628) | 15/15 |
| PSO-BFGS voglis | 1.6 (2) | 4.2 (6) | 3.4 (4) | 3.3 (4) | 3.2 (4) | 3.3 (4) | 170 (234) | 5/15 |
| SNES schaul | 91 (152) | 192 (260) | 134 (155) | 130 (148) | 130 (144) | 149 (188) | 161 (189) | 15/15 |
| xNES schaul | 66 (209) | 100 (193) | 104 (119) | 100 (114) | 97 (110) | 95 (107) | 92 (104) | 15/15 |
| xNESas schaul | 46 (61) | 44 (57) | 39 (42) | 38 (40) | 37 (39) | 36 (37) | 35 (36) | 15/15 |
| Δ fopt f23, 5-D |
1e1 3.0 |
1e0 518 |
1e-1 14249 |
1e-2 27890 |
1e-3 31654 |
1e-5 33030 |
1e-7 34256 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.6 (3) | 86 (79) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.2 (3) | 11 (9) | 1.6 (1) | 0.93 (0.7) | 0.86 (0.6) | 0.85 (0.6) | 0.84 (0.6) | 15/15 |
| BIPOPsaACM loshchilov | 4.2 (4) | 14 (8) | 1.1 (1) | 0.86 (0.8) | 0.91 (0.9) | 0.88 (0.8) | 0.97 (0.8) | 15/15 |
| CMAES posik | 2.9 (5) | 13 (15) | 6.9 (9) | 5.5 (7) | 4.9 (7) | 4.7 (6) | 4.5 (4) | 12/15 |
| CMA brockhoff | 2.7 (3) | 20 (18) | 107 (106) | 55 (73) | 49 (95) | 47 (69) | 45 (81) | 6/15 |
| CMAa brockhoff | 2.4 (3) | 29 (17) | 39 (53) | 20 (36) | 18 (27) | 17 (24) | 17 (32) | 10/15 |
| CMAm brockhoff | 2.2 (2) | 16 (17) | 63 (88) | 42 (55) | 37 (64) | 36 (62) | 35 (29) | 7/15 |
| CMAma brockhoff | 2.5 (2) | 21 (38) | 37 (70) | 25 (18) | 22 (32) | 21 (23) | 20 (29) | 9/15 |
| CMAmah brockhoff | 1.9 (2) | 17 (29) | 52 (73) | 26 (53) | 23 (35) | 22 (19) | 22 (18) | 9/15 |
| CMAmh brockhoff | 4.5 (10) | 10 (13) | 38 (90) | 26 (37) | 23 (48) | 22 (47) | 21 (44) | 9/15 |
| DBRCGA chuang | 0.91 (0.8) | 19 (19) | 43 (46) | 126 (117) | 222 (403) | 212 (197) | 205 (193) | 1/15 |
| DE-AUTO voglis | 2.9 (3) | 4.6 (4) | 3.5 (2) | 4.5 (3) | 4.4 (2) | 4.8 (2) | 6.1 (3) | 14/15 |
| DE-BFGS voglis | 2.2 (2) | 2.5 (3) | 2.0 (2) | 1.2 (0.9) | 1.3 (0.9) | 1.4 (0.9) | 96 (98) | 0/15 |
| DE-ROLL voglis | 2.4 (2) | 4.4 (5) | 18 (22) | 15 (16) | 14 (14) | 16 (14) | 104 (95) | 0/15 |
| DE-SIMPLEX voglis | 2.3 (2) | 0.92 (0.9) | 0.88 (0.7) | 0.94 (0.9) | 0.91 (0.8) | 1.1 (0.8) | 99 (134) | 0/15 |
| DEAE posik | 2.8 (4) | 72 (58) | 124 (118) | 63 (83) | 56 (71) | 54 (53) | 52 (38) | 2/15 |
| DE posik | 2.9 (4) | 48 (59) | 57 (51) | 39 (54) | 35 (48) | 53 (57) | 105 (106) | 1/15 |
| DEb posik | 2.9 (4) | 48 (59) | 57 (86) | 39 (49) | 35 (41) | 53 (36) | 105 (86) | 1/15 |
| DEctpb posik | 3.5 (4) | 57 (60) | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| IPOPsaACM loshchilov | 2.1 (2) | 13 (17) | 8.8 (2) | 7.5 (22) | 6.6 (20) | 6.4 (19) | 6.2 (18) | 15/15 |
| JADE posik | 2.4 (3) | 37 (32) | 8.3 (6) | 8.4 (10) | 7.6 (5) | 7.3 (8) | 7.1 (7) | 10/15 |
| JADEb posik | 2.3 (3) | 35 (40) | 32 (46) | 20 (16) | 17 (19) | 17 (20) | 16 (14) | 6/15 |
| JADEctpb posik | 2.4 (3) | 37 (32) | 8.3 (6) | 8.4 (12) | 7.6 (6) | 7.3 (6) | 7.1 (8) | 10/15 |
| MVDE melo | 1.8 (2) | 32 (40) | 190 (142) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.6 (2) | 8.2 (8) | 1.4 (2) | 0.95 (1) | 0.97 (1) | 0.95 (1) | 1.1 (0.9) | 15/15 |
| NIPOPaCMA loshchilov | 3.2 (2) | 15 (21) | 1.8 (1) | 0.94 (0.8) | 0.86 (0.7) | 0.86 (0.7) | 0.87 (0.7) | 15/15 |
| PSO-BFGS voglis | 1.4 (1) | 3.5 (5) | 3.3 (4) | 10 (11) | 30 (37) | ∞ | ∞5e5 | 0/15 |
| SNES schaul | 2.8 (2) | 35 (38) | 46 (44) | 472 (608) | 416 (416) | 399 (270) | 384 (493) | 1/15 |
| xNES schaul | 3.4 (3) | 66 (68) | 755 (583) | 386 (485) | ∞ | ∞ | ∞8e5 | 0/15 |
| xNESas schaul | 2.2 (2) | 97 (97) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| Δ fopt f24, 5-D |
1e1 1622 |
1e0 2.2e5 |
1e-1 6.4e6 |
1e-2 9.6e6 |
1e-3 9.6e6 |
1e-5 1.3e7 |
1e-7 1.3e7 |
#succ 3/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 8.2 (6) | 155 (151) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.3 (1) | 1.0 (1) | 1.1 (2) | 1.3 (2) | 1.3 (1) | 0.96 (1) | 0.96 (0.7) | 5/15 |
| BIPOPsaACM loshchilov | 1.8 (1) | 1.0 (1) | 0.69 (0.8) | 0.82 (0.8) | 0.97 (1.0) | 0.73 (0.9) | 0.73 (0.6) | 6/15 |
| CMAES posik | 1.6 (2) | 3.1 (3) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| CMA brockhoff | 1.9 (1) | 9.4 (14) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAa brockhoff | 1.5 (2) | 13 (14) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAm brockhoff | 2.2 (2) | 19 (20) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAma brockhoff | 1.3 (1) | 65 (81) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAmah brockhoff | 1.6 (1) | 19 (31) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAmh brockhoff | 1.4 (1) | 13 (21) | 2.2 (2) | 1.5 (2) | 1.5 (2) | 1.1 (1) | 1.1 (1) | 1/15 |
| DBRCGA chuang | 11 (12) | 5.6 (5) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE-AUTO voglis | 10 (11) | 10 (14) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE-BFGS voglis | 1.3 (1) | 4.3 (3) | 0.19 (0.2) | 0.24 (0.3) | 0.24 (0.2) | 0.18 (0.2) | 0.18 (0.2) | 3/15 |
| DE-ROLL voglis | 13 (11) | 16 (16) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE-SIMPLEX voglis | 3.5 (3) | 10 (12) | 0.56 (0.8) | 0.77 (0.5) | 0.76 (0.7) | 0.57 (0.5) | 0.57 (0.6) | 1/15 |
| DEAE posik | 6.1 (5) | 3.7 (3) | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| DE posik | 10 (8) | 5.4 (6) | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| DEb posik | 10 (8) | 5.4 (7) | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| DEctpb posik | 12 (8) | 17 (26) | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| IPOPsaACM loshchilov | 1.9 (1) | 42 (40) | 11 (10) | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| JADE posik | 6.5 (5) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| JADEb posik | 4.2 (4) | 7.8 (11) | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| JADEctpb posik | 6.5 (5) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| MVDE melo | 13 (10) | 69 (73) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.0 (1) | 0.64 (0.5)↑1 | 0.92 (1) | 0.81 (0.8) | 0.81 (1) | 0.71 (1) | 0.88 (0.8) | 5/15 |
| NIPOPaCMA loshchilov | 1.8 (1) | 2.1 (4) | 0.61 (0.7) | 0.46 (0.4) | 0.46 (0.4) | 0.35 (0.3) | 0.35 (0.4) | 11/15 |
| PSO-BFGS voglis | 3.2 (2) | 0.69 (1) | 0.20 (0.2) | 0.24 (0.2) | 0.23 (0.4) | 0.18 (0.1) | 0.18 (0.2) | 3/15 |
| SNES schaul | 1.6 (2) | 3.2 (4) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| xNES schaul | 7.5 (10) | 12 (11) | ∞ | ∞ | ∞ | ∞ | ∞8e5 | 0/15 |
| xNESas schaul | 6.2 (8) | 26 (29) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
Previous dimension | Dimension = 10 | Next dimension
| Δ fopt f1, 10-D |
1e1 22 |
1e0 23 |
1e-1 23 |
1e-2 23 |
1e-3 23 |
1e-5 23 |
1e-7 23 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 11 (2) | 24 (4) | 36 (5) | 49 (7) | 63 (5) | 88 (6) | 113 (7) | 15/15 |
| BIPOPaCMA loshchilov | 4.9 (2) | 12 (3) | 18 (3) | 25 (3) | 31 (2) | 44 (4) | 57 (5) | 15/15 |
| BIPOPsaACM loshchilov | 4.8 (1) | 6.3 (0.5) | 7.6 (1.0) | 10 (0.8) | 11 (0.8) | 14 (1) | 17 (1) | 15/15 |
| CMAES posik | 5.8 (2) | 12 (2) | 18 (2) | 24 (3) | 31 (3) | 44 (4) | 57 (6) | 15/15 |
| CMA brockhoff | 5.3 (3) | 12 (3) | 18 (3) | 24 (3) | 31 (4) | 44 (5) | 57 (5) | 15/15 |
| CMAa brockhoff | 5.2 (2) | 11 (3) | 18 (2) | 24 (2) | 30 (3) | 44 (5) | 57 (6) | 15/15 |
| CMAm brockhoff | 4.4 (2) | 8.9 (2) | 14 (2) | 18 (3) | 23 (3) | 32 (2) | 42 (3) | 15/15 |
| CMAma brockhoff | 4.5 (0.8) | 8.6 (2) | 13 (2) | 18 (3) | 23 (3) | 31 (4) | 41 (4) | 15/15 |
| CMAmah brockhoff | 3.2 (1) | 6.4 (2) | 9.4 (2) | 13 (2) | 16 (3) | 22 (2) | 29 (3) | 15/15 |
| CMAmh brockhoff | 3.4 (1) | 6.5 (1) | 9.4 (2) | 13 (2) | 16 (2) | 22 (3) | 29 (3) | 15/15 |
| DBRCGA chuang | 77 (18) | 194 (54) | 334 (58) | 478 (83) | 612 (97) | 910 (116) | 1201 (85) | 15/15 |
| DE-AUTO voglis | 3.7 (0.4) | 4.1 (0.2) | 4.1 (0.2) | 4.1 (0.2) | 4.1 (0.2) | 4.1 (0.2) | 4.1 (0.2) | 15/15 |
| DE-BFGS voglis | 3.2 (0.2) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 15/15 |
| DE-ROLL voglis | 7.6 (8) | 18 (16) | 19 (20) | 19 (20) | 20 (20) | 20 (21) | 20 (21) | 15/15 |
| DE-SIMPLEX voglis | 8.5 (7) | 21 (12) | 34 (14) | 42 (14) | 46 (15) | 55 (14) | 67 (11) | 15/15 |
| DEAE posik | 26 (11) | 61 (7) | 95 (10) | 133 (11) | 169 (13) | 240 (18) | 312 (23) | 15/15 |
| DE posik | 28 (10) | 66 (12) | 106 (18) | 139 (17) | 179 (14) | 252 (17) | 328 (27) | 15/15 |
| DEb posik | 28 (10) | 66 (12) | 106 (18) | 139 (17) | 179 (14) | 252 (17) | 328 (27) | 15/15 |
| DEctpb posik | 28 (8) | 68 (10) | 114 (10) | 152 (15) | 201 (15) | 287 (11) | 368 (17) | 15/15 |
| IPOPsaACM loshchilov | 4.6 (1) | 6.1 (0.4) | 7.3 (0.7) | 9.0 (0.7) | 11 (1) | 14 (0.8) | 17 (0.7) | 15/15 |
| JADE posik | 18 (4) | 45 (5) | 78 (8) | 108 (10) | 141 (7) | 211 (7) | 282 (6) | 15/15 |
| JADEb posik | 13 (4) | 32 (5) | 52 (8) | 74 (6) | 98 (9) | 147 (12) | 201 (13) | 15/15 |
| JADEctpb posik | 18 (4) | 45 (5) | 78 (8) | 108 (10) | 141 (7) | 211 (7) | 282 (6) | 15/15 |
| MVDE melo | 47 (15) | 137 (12) | 225 (15) | 316 (17) | 409 (17) | 594 (24) | 781 (21) | 15/15 |
| NBIPOPaCMA loshchilov | 4.6 (3) | 11 (2) | 18 (3) | 24 (3) | 31 (4) | 43 (4) | 55 (4) | 15/15 |
| NIPOPaCMA loshchilov | 5.9 (2) | 12 (3) | 19 (3) | 25 (4) | 31 (4) | 44 (4) | 57 (5) | 15/15 |
| PSO-BFGS voglis | 3.1 (0.2) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 3.2 (0) | 15/15 |
| SNES schaul | 4.3 (2) | 10 (3) | 19 (4) | 29 (3) | 39 (3) | 57 (4) | 76 (5) | 15/15 |
| xNES schaul | 3.8 (1) | 18 (6) | 51 (3) | 81 (5) | 111 (7) | 176 (6) | 239 (6) | 15/15 |
| xNESas schaul | 4.0 (2) | 16 (4) | 37 (5) | 53 (10) | 64 (15) | 85 (19) | 103 (31) | 15/15 |
| Δ fopt f2, 10-D |
1e1 187 |
1e0 190 |
1e-1 191 |
1e-2 191 |
1e-3 193 |
1e-5 194 |
1e-7 195 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.9 (1) | 8.2 (0.8) | 10 (0.9) | 11 (1.0) | 12 (1) | 15 (1) | 18 (2) | 15/15 |
| BIPOPaCMA loshchilov | 15 (3) | 17 (2) | 18 (2) | 19 (2) | 20 (1) | 21 (1) | 22 (2) | 15/15 |
| BIPOPsaACM loshchilov | 3.9 (0.9) | 4.4 (0.8) | 4.8 (0.6) | 5.1 (0.6) | 5.3 (0.6) | 5.8 (0.5) | 6.2 (0.6) | 15/15 |
| CMAES posik | 21 (4) | 24 (4) | 26 (2) | 27 (2) | 28 (2) | 29 (2) | 31 (2) | 15/15 |
| CMA brockhoff | 22 (6) | 24 (3) | 26 (2) | 27 (2) | 28 (2) | 29 (2) | 30 (2) | 15/15 |
| CMAa brockhoff | 16 (2) | 17 (2) | 18 (1) | 19 (1) | 20 (1) | 21 (1) | 23 (1) | 15/15 |
| CMAm brockhoff | 21 (5) | 24 (3) | 25 (3) | 27 (1) | 27 (1) | 28 (1) | 30 (1) | 15/15 |
| CMAma brockhoff | 15 (3) | 17 (2) | 18 (1) | 19 (1) | 19 (1) | 20 (1) | 21 (1) | 15/15 |
| CMAmah brockhoff | 16 (3) | 18 (3) | 19 (2) | 20 (1) | 20 (2) | 21 (2) | 22 (2) | 15/15 |
| CMAmh brockhoff | 19 (3) | 24 (3) | 25 (3) | 27 (2) | 27 (1) | 28 (1) | 28 (1) | 15/15 |
| DBRCGA chuang | 60 (8) | 78 (9) | 96 (9) | 114 (11) | 129 (12) | 161 (12) | 191 (10) | 15/15 |
| DE-AUTO voglis | 1.7 (0.6) | 1.9 (0.7) | 2.0 (0.8) | 2.1 (0.8) | 2.1 (0.9) | 2.4 (1.0) | 2.7 (1) | 15/15 |
| DE-BFGS voglis | 1.9 (0.8) | 2.2 (0.9) | 2.4 (1) | 2.5 (1) | 2.7 (1) | 2.9 (1) | 3.1 (1) | 15/15 |
| DE-ROLL voglis | 7.4 (10) | 7.5 (10) | 7.6 (10) | 7.7 (10) | 7.7 (9) | 8.0 (9) | 8.3 (9) | 15/15 |
| DE-SIMPLEX voglis | 91 (33) | 109 (39) | 118 (41) | 133 (31) | 138 (31) | 144 (26) | 176 (121) | 15/15 |
| DEAE posik | 20 (1) | 24 (2) | 29 (2) | 33 (2) | 37 (3) | 45 (3) | 53 (3) | 15/15 |
| DE posik | 20 (2) | 24 (3) | 29 (2) | 33 (3) | 38 (2) | 47 (3) | 56 (3) | 15/15 |
| DEb posik | 20 (2) | 24 (3) | 29 (2) | 33 (3) | 38 (2) | 47 (3) | 56 (3) | 15/15 |
| DEctpb posik | 22 (2) | 27 (1) | 32 (2) | 37 (2) | 42 (2) | 52 (2) | 61 (3) | 15/15 |
| IPOPsaACM loshchilov | 4.1 (0.7) | 4.4 (0.7) | 4.7 (0.8) | 5.0 (0.8) | 5.3 (0.7) | 5.7 (0.8) | 6.1 (0.7) | 15/15 |
| JADE posik | 17 (1) | 21 (2) | 25 (2) | 30 (2) | 34 (1) | 43 (2) | 51 (3) | 15/15 |
| JADEb posik | 11 (1) | 14 (1) | 17 (1) | 21 (2) | 24 (1) | 31 (2) | 38 (3) | 15/15 |
| JADEctpb posik | 17 (1) | 21 (2) | 25 (2) | 30 (2) | 34 (1) | 43 (2) | 51 (3) | 15/15 |
| MVDE melo | 44 (2) | 54 (2) | 65 (3) | 77 (3) | 86 (4) | 109 (1) | 130 (2) | 15/15 |
| NBIPOPaCMA loshchilov | 14 (3) | 17 (2) | 18 (2) | 19 (1) | 20 (1) | 21 (1) | 23 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 14 (3) | 16 (3) | 18 (2) | 19 (2) | 19 (2) | 21 (2) | 23 (2) | 15/15 |
| PSO-BFGS voglis | 2.6 (1) | 2.6 (1) | 2.7 (1) | 2.9 (1) | 3.0 (1) | 3.2 (1) | 3.6 (2) | 15/15 |
| SNES schaul | 4.8 (0.9) | 5.6 (0.7) | 6.7 (0.5) | 7.9 (0.6) | 8.9 (0.6) | 11 (0.6) | 13 (0.7) | 15/15 |
| xNES schaul | 15 (1) | 17 (1.0) | 21 (0.9) | 25 (1) | 28 (1) | 35 (0.8) | 43 (1) | 15/15 |
| xNESas schaul | 13 (2) | 16 (2) | 18 (2) | 20 (2) | 21 (2) | 25 (3) | 27 (4) | 15/15 |
| Δ fopt f3, 10-D |
1e1 1739 |
1e0 3600 |
1e-1 3609 |
1e-2 3636 |
1e-3 3642 |
1e-5 3646 |
1e-7 3651 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 15 (16) | 2427 (3315) | 9806 (1e4) | 9733 (6434) | 9717 (7354) | 9707 (7346) | 9694 (7092) | 4/15 |
| BIPOPaCMA loshchilov | 4.0 (3) | 307 (440) | 4151 (5424) | 4120 (4266) | 4114 (4107) | 4110 (3947) | 4105 (6258) | 7/15 |
| BIPOPsaACM loshchilov | 2.2 (2) | 231 (319) | 1682 (2416) | 1670 (2381) | 1667 (2232) | 1665 (2391) | 1663 (1617) | 12/15 |
| CMAES posik | 8.4 (11) | 2030 (2014) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 3.7 (3) | 632 (635) | 2699 (4941) | 2680 (4753) | 2676 (2348) | 2674 (4882) | 2671 (1830) | 2/15 |
| CMAa brockhoff | 4.4 (3) | 818 (984) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAm brockhoff | 3.0 (3) | 494 (696) | 5720 (9933) | 5679 (7869) | 5670 (3793) | 5665 (5009) | 5658 (5519) | 1/15 |
| CMAma brockhoff | 2.0 (3) | 366 (510) | 2640 (2035) | 2621 (2928) | 2616 (2807) | 2614 (2702) | 2611 (3207) | 2/15 |
| CMAmah brockhoff | 3.0 (2) | 358 (483) | 5586 (5759) | 5545 (8893) | 5537 (4105) | 5532 (7034) | 5525 (5643) | 1/15 |
| CMAmh brockhoff | 4.2 (3) | 608 (794) | 5512 (7194) | 5471 (5765) | 5462 (6382) | 5456 (6131) | 5449 (7415) | 1/15 |
| DBRCGA chuang | 13 (5) | 38 (23) | 56 (38) | 56 (38) | 56 (38) | 57 (39) | 59 (39) | 15/15 |
| DE-AUTO voglis | 9.1 (9) | 24 (7) | 45 (24) | 45 (24) | 45 (24) | 45 (24) | 45 (24) | 15/15 |
| DE-BFGS voglis | 9.4 (6) | 16 (7) | 24 (11) | 24 (11) | 24 (11) | 24 (11) | 24 (11) | 15/15 |
| DE-ROLL voglis | 3.6 (3) | 13 (6) | 17 (8) | 17 (8) | 17 (8) | 17 (8) | 17 (8) | 15/15 |
| DE-SIMPLEX voglis | 37 (20) | 56 (16) | 80 (37) | 80 (37) | 80 (37) | 80 (37) | 80 (37) | 15/15 |
| DEAE posik | 132 (69) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 5.5 (1) | 5.5 (4) | 16 (15) | 16 (15) | 16 (15) | 17 (15) | 17 (15) | 15/15 |
| DEb posik | 5.5 (1) | 5.5 (4) | 16 (15) | 16 (15) | 16 (15) | 17 (15) | 17 (15) | 15/15 |
| DEctpb posik | 7.6 (2) | 9.0 (1) | 10 (1) | 10 (1) | 11 (1) | 11 (1) | 12 (1) | 15/15 |
| IPOPsaACM loshchilov | 2.3 (0.6) | 174 (325) | 7894 (9119) | 7835 (1e4) | 7823 (8979) | 7814 (1e4) | 7804 (8358) | 4/14 |
| JADE posik | 3.9 (0.4) | 3.1 (0.2) | 3.5 (0.3) | 3.9 (0.2) | 4.3 (0.2) | 5.0 (0.2) | 5.7 (0.2) | 15/15 |
| JADEb posik | 3.5 (0.8) | 6.3 (6) | 19 (24) | 19 (24) | 19 (24) | 20 (24) | 20 (24) | 15/15 |
| JADEctpb posik | 3.9 (0.4) | 3.1 (0.2) | 3.5 (0.3) | 3.9 (0.2) | 4.3 (0.2) | 5.0 (0.2) | 5.7 (0.2) | 15/15 |
| MVDE melo | 5.8 (1) | 5.6 (0.3) | 6.3 (0.4) | 6.9 (0.4) | 7.4 (0.4) | 8.7 (0.4) | 10 (0.3) | 15/15 |
| NBIPOPaCMA loshchilov | 3.7 (4) | 1586 (2780) | 7792 (1e4) | 7734 (7557) | 7722 (9612) | 7714 (2e4) | 7704 (9589) | 4/15 |
| NIPOPaCMA loshchilov | 2.3 (1) | 1021 (1497) | 6291 (6062) | 6245 (9164) | 6235 (5891) | 6229 (9433) | 6221 (6680) | 5/15 |
| PSO-BFGS voglis | 69 (74) | 1999 (1652) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 18 (17) | 5463 (6548) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 15 (17) | 4196 (4611) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 16 (17) | 8179 (1e4) | 1.7e4 (1e4) | 1.7e4 (2e4) | 1.7e4 (2e4) | 1.7e4 (2e4) | 1.7e4 (1e4) | 1/15 |
| Δ fopt f4, 10-D |
1e1 2234 |
1e0 3626 |
1e-1 3660 |
1e-2 3695 |
1e-3 3707 |
1e-5 3744 |
1e-7 28767 |
#succ 12/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 31 (60) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 5.6 (5) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPsaACM loshchilov | 5.3 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/5 |
| CMAES posik | 24 (29) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 6.6 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAa brockhoff | 7.5 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAm brockhoff | 5.5 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAma brockhoff | 5.6 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAmah brockhoff | 8.6 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAmh brockhoff | 8.6 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DBRCGA chuang | 25 (15) | 64 (31) | 166 (165) | 165 (175) | 165 (147) | 164 (130) | 22 (18) | 13/15 |
| DE-AUTO voglis | 12 (9) | 49 (33) | 139 (150) | 138 (146) | 137 (154) | 136 (144) | 18 (22) | 13/15 |
| DE-BFGS voglis | 14 (9) | 52 (39) | 80 (65) | 79 (65) | 79 (64) | 78 (64) | 10 (8) | 14/15 |
| DE-ROLL voglis | 5.2 (3) | 17 (9) | 44 (34) | 44 (34) | 44 (34) | 43 (34) | 5.6 (4) | 15/15 |
| DE-SIMPLEX voglis | 37 (14) | 102 (47) | 239 (224) | 237 (232) | 236 (216) | 259 (158) | 117 (70) | 2/15 |
| DEAE posik | 102 (54) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 4.1 (0.9) | 18 (16) | 48 (61) | 48 (60) | 48 (60) | 48 (60) | 6.3 (8) | 14/15 |
| DEb posik | 4.1 (0.9) | 18 (16) | 48 (61) | 48 (60) | 48 (60) | 48 (60) | 6.3 (8) | 14/15 |
| DEctpb posik | 6.9 (1.0) | 11 (1) | 17 (9) | 18 (8) | 18 (8) | 18 (8) | 2.5 (1) | 15/15 |
| IPOPsaACM loshchilov | 5.6 (7) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/5 |
| JADE posik | 3.6 (0.3) | 3.4 (0.3) | 3.9 (0.2) | 4.4 (0.2) | 4.8 (0.2) | 5.5 (0.2) | 0.82 (0.0)↑0 | 15/15 |
| JADEb posik | 3.6 (5) | 25 (22) | 125 (137) | 124 (116) | 124 (149) | 123 (168) | 16 (17) | 10/15 |
| JADEctpb posik | 3.6 (0.3) | 3.4 (0.3) | 3.9 (0.2) | 4.4 (0.2) | 4.8 (0.2) | 5.5 (0.2) | 0.82 (0.0)↑0 | 15/15 |
| MVDE melo | 6.0 (0.9) | 26 (1) | 143 (274) | 143 (136) | 143 (270) | 143 (134) | 19 (17) | 10/15 |
| NBIPOPaCMA loshchilov | 8.4 (10) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| NIPOPaCMA loshchilov | 4.9 (5) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| PSO-BFGS voglis | 156 (93) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 25 (27) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 17 (20) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 7.8 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f5, 10-D |
1e1 20 |
1e0 20 |
1e-1 20 |
1e-2 20 |
1e-3 20 |
1e-5 20 |
1e-7 20 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 8.9 (3) | 11 (3) | 11 (3) | 11 (3) | 11 (3) | 11 (3) | 11 (3) | 15/15 |
| BIPOPaCMA loshchilov | 5.0 (2) | 6.0 (2) | 6.1 (2) | 6.1 (2) | 6.1 (2) | 6.1 (2) | 6.1 (2) | 15/15 |
| BIPOPsaACM loshchilov | 5.1 (2) | 6.2 (2) | 6.5 (2) | 6.5 (2) | 6.5 (2) | 6.5 (2) | 6.5 (2) | 15/15 |
| CMAES posik | 5.3 (0.9) | 6.4 (1) | 6.6 (1) | 6.6 (1) | 6.6 (1) | 6.6 (1) | 6.6 (1) | 15/15 |
| CMA brockhoff | 5.4 (2) | 6.2 (1) | 6.3 (1) | 6.3 (1) | 6.3 (1) | 6.3 (1) | 6.3 (1) | 15/15 |
| CMAa brockhoff | 5.2 (1) | 6.6 (1) | 6.7 (1) | 6.7 (1) | 6.8 (1) | 6.8 (1) | 6.8 (1) | 15/15 |
| CMAm brockhoff | 4.6 (0.8) | 5.6 (1) | 5.7 (1) | 5.7 (1) | 5.7 (1) | 5.7 (1) | 5.7 (1) | 15/15 |
| CMAma brockhoff | 4.0 (0.9) | 4.8 (0.9) | 4.9 (0.9) | 4.9 (1) | 4.9 (1) | 4.9 (1) | 4.9 (1) | 15/15 |
| CMAmah brockhoff | 3.1 (1) | 3.9 (1) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 15/15 |
| CMAmh brockhoff | 3.1 (0.7) | 3.8 (1.0) | 4.1 (1.0) | 4.1 (1.0) | 4.1 (1.0) | 4.1 (1.0) | 4.1 (1.0) | 15/15 |
| DBRCGA chuang | 116 (75) | 156 (70) | 158 (72) | 159 (72) | 159 (72) | 159 (72) | 159 (72) | 15/15 |
| DE-AUTO voglis | 3.9 (0.3) | 4.0 (0.3) | 4.1 (0.4) | 4.1 (0.4) | 4.1 (0.4) | 4.1 (0.4) | 4.1 (0.4) | 15/15 |
| DE-BFGS voglis | 7.4 (3) | 9.4 (4) | 9.5 (3) | 9.5 (3) | 9.5 (3) | 10 (4) | 11 (6) | 15/15 |
| DE-ROLL voglis | 6.4 (0.5) | 6.7 (0.8) | 6.9 (0.7) | 7.1 (1) | 7.3 (2) | 7.7 (3) | 8.1 (5) | 15/15 |
| DE-SIMPLEX voglis | 354 (93) | 596 (300) | 832 (366) | 1028 (430) | 1142 (360) | 1320 (389) | 7246 (1e4) | 15/15 |
| DEAE posik | 17 (8) | 22 (10) | 23 (10) | 23 (10) | 23 (10) | 23 (10) | 23 (10) | 15/15 |
| DE posik | 16 (5) | 22 (6) | 22 (5) | 22 (5) | 22 (5) | 22 (5) | 22 (5) | 15/15 |
| DEb posik | 16 (5) | 22 (6) | 22 (5) | 22 (5) | 22 (5) | 22 (5) | 22 (5) | 15/15 |
| DEctpb posik | 21 (4) | 28 (4) | 29 (4) | 30 (4) | 30 (4) | 30 (4) | 30 (4) | 15/15 |
| IPOPsaACM loshchilov | 5.0 (1) | 6.2 (1) | 6.2 (0.9) | 6.3 (0.8) | 6.3 (0.8) | 6.3 (0.8) | 6.3 (0.8) | 15/15 |
| JADE posik | 25 (10) | 34 (9) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 15/15 |
| JADEb posik | 15 (4) | 21 (5) | 22 (4) | 22 (4) | 22 (4) | 22 (4) | 22 (4) | 15/15 |
| JADEctpb posik | 25 (10) | 34 (9) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 15/15 |
| MVDE melo | 111 (18) | 165 (17) | 184 (32) | 197 (41) | 199 (42) | 199 (42) | 199 (42) | 15/15 |
| NBIPOPaCMA loshchilov | 4.9 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 15/15 |
| NIPOPaCMA loshchilov | 5.8 (0.8) | 6.8 (2) | 7.1 (2) | 7.1 (2) | 7.1 (2) | 7.1 (2) | 7.1 (2) | 15/15 |
| PSO-BFGS voglis | 7.7 (4) | 11 (6) | 12 (5) | 12 (5) | 12 (5) | 12 (5) | 12 (5) | 15/15 |
| SNES schaul | 10 (5) | 13 (4) | 14 (4) | 14 (4) | 14 (4) | 14 (4) | 14 (4) | 15/15 |
| xNES schaul | 9.0 (2) | 12 (4) | 13 (4) | 13 (4) | 13 (4) | 13 (4) | 13 (4) | 15/15 |
| xNESas schaul | 9.0 (3) | 12 (3) | 12 (3) | 12 (3) | 12 (3) | 12 (3) | 12 (3) | 15/15 |
| Δ fopt f6, 10-D |
1e1 412 |
1e0 623 |
1e-1 826 |
1e-2 1039 |
1e-3 1292 |
1e-5 1841 |
1e-7 2370 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3.9 (0.9) | 4.3 (0.9) | 4.5 (0.8) | 4.6 (0.9) | 4.5 (0.9) | 4.3 (0.8) | 4.3 (0.8) | 15/15 |
| BIPOPaCMA loshchilov | 2.0 (0.6) | 1.9 (0.5) | 1.9 (0.3) | 1.8 (0.3) | 1.7 (0.2) | 1.6 (0.1) | 1.6 (0.1) | 15/15 |
| BIPOPsaACM loshchilov | 1.8 (0.5) | 1.8 (0.5) | 1.9 (0.5) | 1.9 (0.3) | 1.8 (0.3) | 1.8 (0.3) | 1.7 (0.3) | 15/15 |
| CMAES posik | 1.9 (0.7) | 1.9 (0.5) | 1.9 (0.4) | 1.9 (0.4) | 1.8 (0.3) | 1.7 (0.2) | 1.7 (0.1) | 15/15 |
| CMA brockhoff | 1.8 (0.4) | 1.8 (0.2) | 1.9 (0.2) | 1.9 (0.3) | 1.8 (0.3) | 1.7 (0.2) | 1.6 (0.2) | 15/15 |
| CMAa brockhoff | 1.8 (0.6) | 1.8 (0.5) | 1.8 (0.3) | 1.8 (0.3) | 1.8 (0.3) | 1.7 (0.2) | 1.6 (0.2) | 15/15 |
| CMAm brockhoff | 1.9 (0.6) | 2.0 (0.3) | 1.9 (0.3) | 1.9 (0.3) | 1.8 (0.3) | 1.7 (0.2) | 1.7 (0.2) | 15/15 |
| CMAma brockhoff | 1.9 (0.5) | 1.8 (0.4) | 1.8 (0.4) | 1.7 (0.3) | 1.7 (0.4) | 1.5 (0.2) | 1.5 (0.2) | 15/15 |
| CMAmah brockhoff | 1.3 (0.4) | 1.4 (0.5) | 1.5 (0.5) | 1.5 (0.4) | 1.5 (0.3) | 1.4 (0.4) | 1.5 (0.4) | 15/15 |
| CMAmh brockhoff | 1.4 (0.6) | 1.6 (0.5) | 1.6 (0.4) | 1.7 (0.6) | 1.7 (0.7) | 1.6 (0.6) | 1.7 (0.4) | 15/15 |
| DBRCGA chuang | 18 (5) | 24 (5) | 28 (5) | 30 (5) | 31 (7) | 30 (5) | 30 (3) | 15/15 |
| DE-AUTO voglis | 2.4 (1) | 2.4 (1) | 2.3 (0.6) | 2.2 (0.8) | 2.2 (0.6) | 4.0 (3) | 6.3 (8) | 15/15 |
| DE-BFGS voglis | 2.2 (2) | 2.0 (1) | 2.1 (2) | 2.4 (1) | 5.3 (6) | 16 (7) | 84 (61) | 12/15 |
| DE-ROLL voglis | 16 (12) | 22 (19) | 26 (26) | 27 (24) | 41 (41) | 55 (42) | 185 (262) | 10/15 |
| DE-SIMPLEX voglis | 25 (17) | 43 (23) | 55 (19) | 58 (23) | 76 (32) | 145 (79) | ∞1e6 | 0/15 |
| DEAE posik | 8.3 (2) | 10 (1) | 11 (0.8) | 11 (0.7) | 10 (0.9) | 10 (0.7) | 10 (0.6) | 15/15 |
| DE posik | 17 (4) | 20 (3) | 23 (4) | 24 (5) | 24 (5) | 24 (6) | 24 (6) | 15/15 |
| DEb posik | 17 (4) | 20 (3) | 23 (4) | 24 (5) | 24 (5) | 24 (6) | 24 (6) | 15/15 |
| DEctpb posik | 12 (2) | 14 (2) | 15 (2) | 15 (1) | 15 (2) | 14 (2) | 14 (2) | 15/15 |
| IPOPsaACM loshchilov | 1.7 (0.7) | 1.8 (0.5) | 1.9 (0.5) | 1.9 (0.4) | 1.8 (0.5) | 1.8 (0.4) | 1.8 (0.2) | 15/15 |
| JADE posik | 6.6 (1) | 7.5 (1) | 7.9 (0.9) | 8.4 (1) | 8.3 (1) | 8.2 (1) | 8.1 (1) | 15/15 |
| JADEb posik | 5.7 (3) | 8.8 (2) | 12 (3) | 21 (10) | 46 (37) | 382 (415) | 451 (584) | 2/15 |
| JADEctpb posik | 6.6 (1) | 7.5 (1) | 7.9 (0.9) | 8.4 (1) | 8.3 (1) | 8.2 (1) | 8.1 (1) | 15/15 |
| MVDE melo | 19 (6) | 27 (4) | 33 (7) | 38 (7) | 41 (8) | 48 (15) | 57 (23) | 15/15 |
| NBIPOPaCMA loshchilov | 1.8 (0.6) | 1.9 (0.5) | 1.9 (0.4) | 1.8 (0.3) | 1.8 (0.2) | 1.6 (0.2) | 1.6 (0.2) | 15/15 |
| NIPOPaCMA loshchilov | 1.8 (0.6) | 1.8 (0.4) | 1.8 (0.3) | 1.8 (0.3) | 1.8 (0.3) | 1.6 (0.2) | 1.6 (0.2) | 15/15 |
| PSO-BFGS voglis | 4.0 (3) | 3.2 (2) | 2.8 (2) | 3.8 (5) | 9.4 (7) | 23 (9) | 220 (305) | 4/15 |
| SNES schaul | 1.6 (0.3) | 1.7 (0.3) | 1.9 (0.4) | 2.1 (0.6) | 3.2 (2) | 155 (257) | 269 (619) | 13/15 |
| xNES schaul | 2.5 (0.4) | 3.3 (0.2) | 3.9 (0.2) | 4.1 (0.2) | 4.1 (0.2) | 4.1 (0.1) | 4.1 (0.2) | 15/15 |
| xNESas schaul | 2.2 (0.2) | 3.1 (0.3) | 3.6 (0.3) | 3.8 (0.3) | 3.9 (0.3) | 3.8 (0.2) | 3.8 (0.1) | 15/15 |
| Δ fopt f7, 10-D |
1e1 172 |
1e0 1611 |
1e-1 4195 |
1e-2 5099 |
1e-3 5141 |
1e-5 5141 |
1e-7 5389 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.7 (3) | 21 (37) | 275 (279) | 236 (244) | 235 (240) | 235 (240) | 225 (227) | 15/15 |
| BIPOPaCMA loshchilov | 2.0 (0.3) | 1.1 (0.6) | 0.88 (0.4) | 0.80 (0.4) | 0.85 (0.4) | 0.85 (0.4) | 0.82 (0.3) | 15/15 |
| BIPOPsaACM loshchilov | 1.5 (0.3) | 0.81 (0.5) | 0.72 (0.4) | 0.68 (0.3) | 0.69 (0.3) | 0.69 (0.3) | 0.70 (0.3) | 15/15 |
| CMAES posik | 2.9 (1) | 2.2 (3) | 6.0 (6) | 24 (38) | 27 (37) | 27 (37) | 36 (36) | 14/15 |
| CMA brockhoff | 3.0 (1) | 1.5 (1) | 1.1 (0.7) | 1.4 (0.8) | 1.4 (0.8) | 1.4 (0.8) | 1.3 (0.7) | 15/15 |
| CMAa brockhoff | 2.1 (0.5) | 1.2 (1) | 0.91 (0.6) | 0.89 (0.4) | 0.93 (0.4) | 0.93 (0.4) | 0.90 (0.3) | 15/15 |
| CMAm brockhoff | 2.4 (1) | 2.0 (1) | 1.3 (0.9) | 1.2 (0.8) | 1.2 (0.8) | 1.2 (0.8) | 1.1 (0.8) | 15/15 |
| CMAma brockhoff | 2.2 (1) | 1.3 (1) | 0.83 (0.4) | 0.76 (0.3) | 0.79 (0.3) | 0.79 (0.3) | 0.80 (0.3) | 15/15 |
| CMAmah brockhoff | 2.7 (2) | 2.1 (0.9) | 0.99 (0.3) | 0.89 (0.3) | 0.90 (0.3) | 0.90 (0.3) | 0.87 (0.3) | 15/15 |
| CMAmh brockhoff | 4.7 (4) | 2.2 (1) | 1.4 (0.4) | 1.3 (0.4) | 1.3 (0.3) | 1.3 (0.3) | 1.2 (0.3) | 15/15 |
| DBRCGA chuang | 20 (6) | 15 (16) | 58 (72) | 128 (114) | 152 (186) | 152 (175) | 146 (132) | 11/15 |
| DE-AUTO voglis | 38 (20) | 19 (16) | 62 (106) | 57 (88) | 58 (87) | 58 (87) | 58 (83) | 14/15 |
| DE-BFGS voglis | 22 (18) | 151 (278) | 386 (339) | 436 (394) | 434 (451) | 434 (611) | 635 (682) | 2/15 |
| DE-ROLL voglis | 15 (11) | 17 (18) | 26 (40) | 31 (34) | 32 (34) | 32 (34) | 33 (37) | 15/15 |
| DE-SIMPLEX voglis | 23 (32) | 19 (18) | 31 (42) | 30 (34) | 30 (34) | 30 (34) | 30 (32) | 15/15 |
| DEAE posik | 6.6 (2) | 1.6 (0.3) | 0.94 (0.1) | 1.1 (0.1) | 1.2 (0.2) | 1.2 (0.2) | 1.2 (0.1) | 15/15 |
| DE posik | 19 (9) | 6.7 (3) | 22 (60) | 20 (50) | 20 (49) | 20 (49) | 19 (46) | 13/15 |
| DEb posik | 19 (9) | 6.7 (3) | 22 (60) | 20 (49) | 20 (49) | 20 (49) | 19 (47) | 13/15 |
| DEctpb posik | 16 (8) | 6.2 (2) | 5.0 (2) | 6.1 (2) | 6.3 (2) | 6.3 (2) | 6.3 (2) | 15/15 |
| IPOPsaACM loshchilov | 1.8 (0.5) | 1.00 (0.5) | 0.70 (0.4) | 0.68 (0.3) | 0.69 (0.3) | 0.69 (0.3) | 0.72 (0.3) | 15/15 |
| JADE posik | 8.0 (1) | 2.3 (0.7) | 20 (60) | 17 (49) | 17 (49) | 17 (49) | 16 (47) | 13/15 |
| JADEb posik | 6.6 (2) | 157 (311) | 180 (268) | 271 (368) | 269 (389) | 269 (389) | 256 (255) | 4/15 |
| JADEctpb posik | 8.0 (1) | 2.3 (0.7) | 20 (60) | 17 (49) | 17 (49) | 17 (49) | 16 (47) | 13/15 |
| MVDE melo | 24 (10) | 11 (3) | 12 (7) | 26 (19) | 31 (20) | 31 (20) | 33 (31) | 15/15 |
| NBIPOPaCMA loshchilov | 2.0 (0.5) | 1.4 (2) | 1.0 (0.7) | 1.2 (0.6) | 1.3 (0.6) | 1.3 (0.6) | 1.2 (0.6) | 15/15 |
| NIPOPaCMA loshchilov | 2.0 (0.6) | 1.2 (0.7) | 1.0 (0.4) | 0.96 (0.3) | 0.96 (0.3) | 0.96 (0.3) | 0.93 (0.3) | 15/15 |
| PSO-BFGS voglis | 2441 (3627) | 8889 (1e4) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 1.9 (0.5) | 87 (80) | 245 (235) | 823 (1017) | 1145 (1170) | 1145 (1428) | 1092 (1406) | 6/15 |
| xNES schaul | 2.4 (0.8) | 0.78 (0.1)↑0 | 0.48 (0.0)↑0 | 0.58 (0.1)↑0 | 0.58 (0.1)↑0 | 0.58 (0.1)↑0 | 0.64 (0.1)↑0 | 15/15 |
| xNESas schaul | 2.4 (1) | 0.76 (0.1)↑0 | 0.45 (0.1)↑0 | 0.56 (0.1)↑0 | 0.58 (0.1)↑0 | 0.58 (0.1)↑0 | 0.59 (0.0)↑0 | 15/15 |
| Δ fopt f8, 10-D |
1e1 326 |
1e0 921 |
1e-1 1114 |
1e-2 1217 |
1e-3 1267 |
1e-5 1315 |
1e-7 1343 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.3 (0.9) | 28 (2) | 41 (2) | 58 (3) | 76 (2) | 112 (3) | 149 (4) | 15/15 |
| BIPOPaCMA loshchilov | 2.1 (0.7) | 3.5 (0.7) | 3.6 (0.6) | 3.6 (0.5) | 3.7 (0.5) | 3.8 (0.5) | 4.0 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 1.2 (0.4) | 1.8 (1) | 1.7 (1) | 1.7 (1) | 1.7 (1) | 1.7 (1.0) | 1.7 (1.0) | 15/15 |
| CMAES posik | 2.2 (1.0) | 4.6 (0.9) | 4.6 (0.7) | 4.6 (0.6) | 4.6 (0.6) | 4.8 (0.5) | 4.9 (0.5) | 15/15 |
| CMA brockhoff | 2.5 (1) | 6.2 (6) | 6.0 (5) | 5.9 (5) | 5.9 (4) | 6.0 (4) | 6.1 (4) | 15/15 |
| CMAa brockhoff | 2.1 (0.4) | 3.6 (0.7) | 3.7 (0.6) | 3.7 (0.5) | 3.8 (0.5) | 3.9 (0.5) | 4.0 (0.5) | 15/15 |
| CMAm brockhoff | 3.7 (5) | 4.6 (2) | 4.7 (2) | 4.7 (2) | 4.7 (2) | 4.8 (1) | 4.9 (1) | 15/15 |
| CMAma brockhoff | 2.1 (0.8) | 3.7 (0.6) | 3.8 (0.5) | 3.8 (0.4) | 3.8 (0.4) | 3.9 (0.4) | 4.0 (0.4) | 15/15 |
| CMAmah brockhoff | 1.5 (1) | 3.8 (4) | 3.7 (3) | 3.7 (3) | 3.7 (3) | 3.7 (3) | 3.8 (3) | 15/15 |
| CMAmh brockhoff | 2.0 (2) | 4.6 (3) | 4.6 (3) | 4.5 (2) | 4.5 (2) | 4.6 (2) | 4.7 (2) | 15/15 |
| DBRCGA chuang | 29 (5) | 107 (98) | 109 (73) | 116 (54) | 127 (43) | 148 (39) | 180 (40) | 15/15 |
| DE-AUTO voglis | 0.94 (0.2) | 2.0 (0.7) | 1.8 (0.6) | 1.7 (0.2) | 1.7 (0.2) | 1.6 (0.2) | 1.6 (0.2) | 15/15 |
| DE-BFGS voglis | 1.2 (0.2) | 1.4 (1) | 1.3 (0.9) | 1.2 (0.8) | 1.2 (0.8) | 1.2 (0.8) | 1.2 (0.7) | 15/15 |
| DE-ROLL voglis | 4.2 (3) | 8.7 (9) | 20 (17) | 27 (22) | 35 (24) | 55 (17) | 257 (390) | 8/15 |
| DE-SIMPLEX voglis | 5.5 (4) | 11 (12) | 11 (10) | 13 (6) | 13 (8) | 14 (8) | 17 (11) | 15/15 |
| DEAE posik | 11 (1) | 13 (1) | 12 (1) | 12 (0.9) | 12 (1) | 13 (1) | 14 (1) | 15/15 |
| DE posik | 14 (4) | 64 (92) | 70 (78) | 73 (72) | 77 (67) | 88 (64) | 98 (61) | 15/15 |
| DEb posik | 14 (4) | 64 (92) | 70 (78) | 73 (72) | 77 (67) | 88 (64) | 98 (61) | 15/15 |
| DEctpb posik | 15 (2) | 41 (3) | 49 (2) | 55 (5) | 60 (4) | 73 (5) | 87 (5) | 15/15 |
| IPOPsaACM loshchilov | 1.3 (0.8) | 2.0 (2) | 1.9 (1) | 1.9 (1) | 1.8 (1) | 1.8 (1) | 1.9 (1) | 15/15 |
| JADE posik | 10 (2) | 16 (2) | 15 (2) | 15 (2) | 15 (2) | 16 (2) | 16 (2) | 15/15 |
| JADEb posik | 6.6 (2) | 15 (13) | 16 (12) | 28 (11) | 34 (11) | 42 (10) | 42 (10) | 14/15 |
| JADEctpb posik | 10 (2) | 16 (2) | 15 (2) | 15 (2) | 15 (2) | 16 (2) | 16 (2) | 15/15 |
| MVDE melo | 29 (6) | 631 (370) | 6126 (7635) | 5816 (6856) | 1.1e4 (2e4) | 1.1e4 (9892) | 1.1e4 (1e4) | 0/15 |
| NBIPOPaCMA loshchilov | 2.6 (1) | 4.9 (4) | 4.8 (3) | 4.7 (3) | 4.7 (3) | 4.8 (3) | 4.9 (3) | 15/15 |
| NIPOPaCMA loshchilov | 2.1 (0.7) | 5.0 (4) | 4.9 (4) | 4.8 (3) | 4.8 (3) | 4.9 (3) | 5.0 (3) | 15/15 |
| PSO-BFGS voglis | 1.4 (0.4) | 1.1 (0.3) | 1.0 (0.2) | 0.96 (0.2) | 0.94 (0.2) | 0.93 (0.2) | 0.92 (0.2) | 15/15 |
| SNES schaul | 1.9 (0.3) | 90 (26) | 287 (232) | 529 (349) | 961 (693) | 3800 (2691) | ∞3e6 | 0/15 |
| xNES schaul | 5.3 (0.6) | 5.7 (0.5) | 6.1 (0.7) | 6.2 (0.8) | 6.2 (0.8) | 6.7 (0.6) | 7.5 (0.7) | 15/15 |
| xNESas schaul | 4.5 (0.6) | 8.0 (2) | 8.3 (2) | 8.2 (2) | 8.2 (2) | 8.4 (2) | 8.8 (2) | 15/15 |
| Δ fopt f9, 10-D |
1e1 200 |
1e0 648 |
1e-1 857 |
1e-2 993 |
1e-3 1065 |
1e-5 1138 |
1e-7 1185 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 9.1 (6) | 326 (21) | 303 (27) | 365 (41) | 457 (68) | 664 (125) | 868 (185) | 15/15 |
| BIPOPaCMA loshchilov | 3.4 (1) | 5.1 (1) | 4.8 (1) | 4.5 (1) | 4.4 (0.9) | 4.5 (0.8) | 4.5 (0.8) | 15/15 |
| BIPOPsaACM loshchilov | 1.6 (0.5) | 2.2 (0.5) | 2.0 (0.4) | 1.8 (0.3) | 1.8 (0.3) | 1.7 (0.3) | 1.7 (0.3) | 15/15 |
| CMAES posik | 3.6 (2) | 8.1 (5) | 7.3 (4) | 6.7 (4) | 6.6 (3) | 6.5 (3) | 6.5 (3) | 15/15 |
| CMA brockhoff | 5.0 (5) | 6.7 (2) | 6.2 (2) | 5.8 (2) | 5.7 (1) | 5.6 (1) | 5.7 (1) | 15/15 |
| CMAa brockhoff | 3.0 (0.5) | 5.3 (1.0) | 4.9 (0.7) | 4.6 (0.6) | 4.6 (0.6) | 4.5 (0.6) | 4.6 (0.5) | 15/15 |
| CMAm brockhoff | 3.5 (2) | 6.5 (3) | 6.0 (2) | 5.6 (2) | 5.5 (2) | 5.4 (2) | 5.5 (2) | 15/15 |
| CMAma brockhoff | 3.1 (2) | 7.7 (6) | 6.8 (5) | 6.2 (4) | 6.0 (4) | 5.9 (4) | 5.9 (4) | 15/15 |
| CMAmah brockhoff | 1.9 (0.9) | 4.0 (1) | 3.9 (0.9) | 3.7 (0.8) | 3.6 (0.7) | 3.5 (0.7) | 3.6 (0.7) | 15/15 |
| CMAmh brockhoff | 3.1 (0.5) | 5.9 (5) | 5.5 (4) | 5.1 (4) | 5.0 (3) | 4.9 (3) | 4.9 (3) | 15/15 |
| DBRCGA chuang | 38 (9) | 694 (797) | 627 (616) | 712 (792) | 882 (973) | 4259 (4176) | 1.3e4 (2e4) | 0/15 |
| DE-AUTO voglis | 1.7 (0.4) | 4.1 (3) | 3.3 (2) | 3.0 (2) | 2.8 (2) | 2.6 (2) | 2.6 (2) | 15/15 |
| DE-BFGS voglis | 2.0 (1.0) | 2.3 (2) | 1.9 (1) | 1.7 (1) | 1.6 (1) | 1.5 (1) | 1.4 (1) | 15/15 |
| DE-ROLL voglis | 5.1 (5) | 64 (15) | 86 (18) | 101 (22) | 107 (23) | 129 (25) | 418 (427) | 6/15 |
| DE-SIMPLEX voglis | 10 (10) | 28 (41) | 26 (29) | 23 (25) | 22 (24) | 22 (23) | 22 (22) | 15/15 |
| DEAE posik | 15 (3) | 17 (4) | 16 (4) | 15 (3) | 15 (3) | 15 (3) | 16 (3) | 15/15 |
| DE posik | 23 (6) | 130 (70) | 186 (62) | 226 (59) | 273 (50) | 584 (268) | 3086 (3465) | 1/15 |
| DEb posik | 23 (6) | 130 (70) | 186 (62) | 226 (59) | 273 (50) | 584 (359) | 3086 (2410) | 1/15 |
| DEctpb posik | 25 (4) | 133 (28) | 193 (58) | 246 (55) | 292 (56) | 677 (481) | 3119 (3471) | 1/15 |
| IPOPsaACM loshchilov | 1.6 (0.4) | 2.0 (0.4) | 1.8 (0.3) | 1.7 (0.2) | 1.6 (0.2) | 1.6 (0.2) | 1.6 (0.2) | 15/15 |
| JADE posik | 15 (3) | 25 (3) | 22 (2) | 20 (2) | 20 (2) | 20 (2) | 20 (2) | 15/15 |
| JADEb posik | 15 (20) | 24 (8) | 21 (5) | 19 (4) | 19 (4) | 19 (4) | 19 (4) | 15/15 |
| JADEctpb posik | 15 (3) | 25 (3) | 22 (2) | 20 (2) | 20 (2) | 20 (2) | 20 (2) | 15/15 |
| MVDE melo | 48 (13) | 2.2e4 (3e4) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.4 (0.4) | 7.3 (6) | 6.4 (5) | 5.9 (4) | 5.8 (4) | 5.7 (4) | 5.8 (3) | 15/15 |
| NIPOPaCMA loshchilov | 3.1 (0.5) | 5.7 (0.8) | 5.3 (0.6) | 5.0 (0.5) | 4.9 (0.5) | 4.9 (0.5) | 4.9 (0.5) | 15/15 |
| PSO-BFGS voglis | 1.6 (0.4) | 1.1 (0.3)★ | 0.98 (0.2)★ | 0.90 (0.2)★ | 0.86 (0.2)★ | 0.83 (0.2)★↑1 | 0.81 (0.2)★↑1 | 15/15 |
| SNES schaul | 3.6 (1) | 289 (308) | 620 (359) | 2444 (2263) | 4.0e4 (5e4) | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 8.8 (1) | 8.0 (1) | 7.7 (1) | 7.3 (1) | 7.1 (1) | 7.5 (1) | 8.4 (0.9) | 15/15 |
| xNESas schaul | 7.1 (1) | 8.7 (4) | 9.1 (3) | 8.6 (3) | 8.5 (3) | 8.6 (3) | 8.8 (3) | 15/15 |
| Δ fopt f10, 10-D |
1e1 1835 |
1e0 2172 |
1e-1 2455 |
1e-2 2728 |
1e-3 2802 |
1e-5 4543 |
1e-7 4739 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1180 (1005) | 3560 (3511) | 8763 (6571) | 1.3e4 (1e4) | 5.3e4 (4e4) | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.4 (0.3) | 1.5 (0.2) | 1.4 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 0.90 (0.0)↑1 | 0.92 (0.1)↑1 | 15/15 |
| BIPOPsaACM loshchilov | 0.41 (0.1)↑0 | 0.39 (0.1)↑0 | 0.37 (0.1)↑0 | 0.35 (0.0)↑0 | 0.36 (0.0)↑0 | 0.24 (0.0)↑0 | 0.25 (0.0)↑0 | 15/15 |
| CMAES posik | 2.2 (0.3) | 2.1 (0.3) | 2.0 (0.3) | 1.9 (0.2) | 1.9 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| CMA brockhoff | 2.3 (0.3) | 2.3 (0.2) | 2.1 (0.1) | 2.0 (0.1) | 2.0 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 15/15 |
| CMAa brockhoff | 1.4 (0.2) | 1.5 (0.2) | 1.4 (0.2) | 1.3 (0.1) | 1.3 (0.1) | 0.89 (0.1)↑0 | 0.92 (0.1) | 15/15 |
| CMAm brockhoff | 2.1 (0.6) | 2.1 (0.3) | 2.0 (0.3) | 1.9 (0.1) | 1.9 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| CMAma brockhoff | 1.3 (0.4) | 1.4 (0.2) | 1.3 (0.1) | 1.2 (0.1) | 1.3 (0.1) | 0.83 (0.1)↑0 | 0.84 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 1.8 (0.3) | 1.7 (0.2) | 1.6 (0.1) | 1.4 (0.1) | 1.4 (0.1) | 0.92 (0.1)↑0 | 0.92 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 2.3 (0.4) | 2.2 (0.3) | 2.0 (0.1) | 1.9 (0.1) | 1.9 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| DBRCGA chuang | 437 (487) | 3291 (3574) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 2.4 (3) | 2.0 (3) | 1.8 (2) | 1.6 (2) | 1.6 (2) | 1.0 (1) | 0.99 (1) | 15/15 |
| DE-BFGS voglis | 1.7 (2) | 1.5 (2) | 1.3 (1) | 1.2 (1) | 1.2 (1) | 0.73 (0.7) | 0.72 (0.7) | 15/15 |
| DE-ROLL voglis | 111 (35) | 142 (73) | 165 (64) | 172 (77) | 197 (71) | 148 (44) | 1524 (1477) | 0/15 |
| DE-SIMPLEX voglis | 20 (12) | 25 (8) | 33 (8) | 38 (13) | 46 (9) | 42 (9) | 221 (240) | 3/15 |
| DEAE posik | 2.2 (0.2) | 2.2 (0.2) | 2.3 (0.2) | 2.4 (0.1) | 2.6 (0.2) | 2.0 (0.1) | 2.3 (0.1) | 15/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 0.41 (0.1)↑0 | 0.40 (0.1)↑0 | 0.38 (0.1)↑0 | 0.36 (0.1)↑0 | 0.36 (0.1)↑0 | 0.25 (0.0)↑0 | 0.25 (0.0)↑0 | 15/15 |
| JADE posik | 4.4 (1) | 4.4 (1) | 4.6 (1) | 4.5 (1) | 4.7 (1) | 3.4 (0.7) | 3.6 (0.7) | 15/15 |
| JADEb posik | 13 (8) | 15 (7) | 16 (5) | 17 (9) | 19 (9) | 14 (5) | 16 (6) | 15/15 |
| JADEctpb posik | 4.4 (1) | 4.4 (1) | 4.6 (1) | 4.5 (1) | 4.7 (1) | 3.4 (0.7) | 3.6 (0.7) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.3 (0.4) | 1.4 (0.3) | 1.3 (0.2) | 1.3 (0.1) | 1.3 (0.1) | 0.89 (0.1)↑0 | 0.92 (0.1)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 1.4 (0.3) | 1.4 (0.3) | 1.4 (0.2) | 1.3 (0.2) | 1.3 (0.1) | 0.89 (0.1)↑0 | 0.92 (0.1)↑0 | 15/15 |
| PSO-BFGS voglis | 3.9 (5) | 3.3 (4) | 2.9 (4) | 2.6 (3) | 2.6 (3) | 1.6 (2) | 1.6 (2) | 15/15 |
| SNES schaul | 2.3e4 (3e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 1.5 (0.1) | 1.5 (0.1) | 1.6 (0.1) | 1.7 (0.1) | 1.9 (0.1) | 1.5 (0.0) | 1.8 (0.0) | 15/15 |
| xNESas schaul | 1.4 (0.2) | 1.4 (0.3) | 1.4 (0.2) | 1.4 (0.2) | 1.5 (0.2) | 1.0 (0.1) | 1.1 (0.2) | 15/15 |
| Δ fopt f11, 10-D |
1e1 266 |
1e0 1041 |
1e-1 2602 |
1e-2 2954 |
1e-3 3338 |
1e-5 4092 |
1e-7 4843 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 357 (147) | 160 (33) | 92 (18) | 105 (17) | 115 (22) | 132 (23) | 140 (23) | 14/15 |
| BIPOPaCMA loshchilov | 6.6 (0.9) | 2.0 (0.2) | 0.87 (0.1)↑0 | 0.83 (0.0)↑0 | 0.78 (0.0)↑0 | 0.72 (0.0)↑0 | 0.67 (0.0)↑0 | 15/15 |
| BIPOPsaACM loshchilov | 2.9 (0.2) | 0.79 (0.1)↑0 | 0.33 (0.0)↑0 | 0.31 (0.0)↑0 | 0.29 (0.0)↑0 | 0.25 (0.0)↑0 | 0.23 (0.0)↑0 | 15/15 |
| CMAES posik | 14 (2) | 4.1 (0.4) | 1.8 (0.2) | 1.6 (0.1) | 1.5 (0.1) | 1.3 (0.1) | 1.2 (0.1) | 15/15 |
| CMA brockhoff | 14 (1) | 4.2 (0.6) | 1.8 (0.3) | 1.7 (0.2) | 1.6 (0.2) | 1.4 (0.1) | 1.2 (0.1) | 15/15 |
| CMAa brockhoff | 6.9 (0.7) | 2.1 (0.2) | 0.90 (0.1)↑0 | 0.85 (0.1)↑0 | 0.80 (0.0)↑0 | 0.73 (0.0)↑0 | 0.67 (0.0)↑0 | 15/15 |
| CMAm brockhoff | 14 (2) | 4.1 (0.4) | 1.8 (0.1) | 1.7 (0.1) | 1.5 (0.1) | 1.3 (0.1) | 1.2 (0.1) | 15/15 |
| CMAma brockhoff | 6.8 (0.8) | 2.0 (0.2) | 0.88 (0.1)↑0 | 0.82 (0.1)↑0 | 0.77 (0.1)↑0 | 0.69 (0.0)↑0 | 0.63 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 9.1 (0.8) | 2.6 (0.3) | 1.1 (0.1) | 1.0 (0.1) | 0.97 (0.1) | 0.84 (0.1)↑0 | 0.75 (0.1)↑0 | 15/15 |
| CMAmh brockhoff | 17 (3) | 5.1 (0.6) | 2.2 (0.2) | 2.0 (0.2) | 1.9 (0.2) | 1.6 (0.1) | 1.4 (0.1) | 15/15 |
| DBRCGA chuang | 153 (183) | 233 (152) | 149 (50) | 191 (33) | 216 (28) | 235 (18) | 1542 (1497) | 0/15 |
| DE-AUTO voglis | 0.43 (0.1)↑0 | 0.20 (0.0)↑1 | 0.09 (0.0)↑0 | 0.09 (0.0)↑0 | 0.08 (0.0)↑0 | 0.08 (0.0)↑0 | 0.37 (0.5)↑1 | 15/15 |
| DE-BFGS voglis | 0.52 (0.3)↑1 | 0.16 (0.1)↑0 | 0.07 (0.0)↑0 | 0.07 (0.0)↑0 | 0.07 (0.0)↑0 | 0.07 (0.0)↑0 | 0.07 (0.0)↑0 | 15/15 |
| DE-ROLL voglis | 293 (157) | 170 (89) | 106 (64) | 126 (64) | 138 (65) | 156 (54) | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 49 (33) | 42 (17) | 28 (9) | 35 (6) | 41 (7) | 49 (7) | 966 (905) | 0/15 |
| DEAE posik | 12 (5) | 4.0 (2) | 1.9 (0.6) | 2.0 (0.6) | 2.0 (0.5) | 2.1 (0.4) | 2.1 (0.3) | 15/15 |
| DE posik | 516 (175) | 284 (74) | 210 (116) | 1236 (1475) | 2234 (2809) | ∞ | ∞5e5 | 0/15 |
| DEb posik | 516 (175) | 284 (74) | 210 (121) | 1236 (1469) | 2234 (1835) | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 668 (172) | 327 (67) | 392 (393) | 2522 (2412) | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 2.8 (0.3) | 0.76 (0.1)↑0 | 0.33 (0.0)↑0 | 0.30 (0.0)↑0 | 0.28 (0.0)↑0 | 0.25 (0.0)↑0 | 0.23 (0.0)↑0 | 15/15 |
| JADE posik | 21 (8) | 6.5 (2) | 3.1 (0.9) | 3.0 (0.8) | 3.0 (0.8) | 2.9 (0.8) | 2.9 (0.8) | 15/15 |
| JADEb posik | 22 (10) | 11 (8) | 7.3 (3) | 10 (3) | 11 (3) | 13 (3) | 13 (3) | 15/15 |
| JADEctpb posik | 21 (8) | 6.5 (2) | 3.1 (0.9) | 3.0 (0.8) | 3.0 (0.8) | 2.9 (0.8) | 2.9 (0.8) | 15/15 |
| MVDE melo | 508 (352) | 7038 (6943) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 6.9 (0.7) | 2.0 (0.2) | 0.90 (0.1)↑1 | 0.85 (0.1)↑0 | 0.81 (0.1)↑0 | 0.73 (0.1)↑0 | 0.68 (0.0)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 7.1 (0.6) | 2.1 (0.2) | 0.92 (0.1) | 0.88 (0.1)↑0 | 0.83 (0.1)↑0 | 0.75 (0.1)↑0 | 0.70 (0.0)↑0 | 15/15 |
| PSO-BFGS voglis | 0.44 (0.1)↑0 | 0.14 (0.0)↑0 | 0.06 (0.0)↑0 | 0.06 (0.0)↑0 | 0.06 (0.0)↑0 | 0.06 (0.0)↑0 | 0.99 (3) | 15/15 |
| SNES schaul | 5.1e4 (4e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 6.5 (0.8) | 2.1 (0.2) | 1.1 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.4 (0.1) | 1.5 (0.1) | 15/15 |
| xNESas schaul | 6.7 (1) | 2.1 (0.3) | 1.0 (0.1) | 1.0 (0.1) | 1.0 (0.1) | 0.94 (0.1) | 0.88 (0.1)↑1 | 15/15 |
| Δ fopt f12, 10-D |
1e1 515 |
1e0 896 |
1e-1 1240 |
1e-2 1390 |
1e-3 1569 |
1e-5 3660 |
1e-7 5154 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1391 (0.7) | 6350 (1e4) | 2.2e4 (2e4) | 1.0e5 (1e5) | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.2 (3) | 4.4 (3) | 4.8 (2) | 4.9 (2) | 4.9 (2) | 2.6 (0.9) | 2.1 (0.7) | 15/15 |
| BIPOPsaACM loshchilov | 1.0 (0.6) | 1.1 (1) | 1.1 (1) | 1.3 (1) | 1.4 (0.9) | 0.94 (0.8) | 0.91 (0.7) | 15/15 |
| CMAES posik | 4.0 (4) | 4.4 (4) | 4.8 (4) | 5.1 (3) | 5.3 (3) | 2.9 (1) | 2.4 (0.8) | 15/15 |
| CMA brockhoff | 3.7 (2) | 4.3 (3) | 5.1 (3) | 5.5 (3) | 5.7 (3) | 3.1 (1) | 2.5 (1) | 15/15 |
| CMAa brockhoff | 2.8 (2) | 3.1 (2) | 3.7 (2) | 4.0 (2) | 4.1 (2) | 2.3 (0.7) | 1.8 (0.5) | 15/15 |
| CMAm brockhoff | 2.6 (2) | 4.2 (3) | 5.1 (2) | 5.5 (2) | 5.6 (2) | 3.0 (0.9) | 2.5 (0.7) | 15/15 |
| CMAma brockhoff | 2.6 (2) | 3.3 (2) | 3.9 (2) | 4.3 (2) | 4.4 (2) | 2.4 (0.9) | 2.0 (0.7) | 15/15 |
| CMAmah brockhoff | 4.1 (5) | 5.0 (5) | 5.3 (4) | 5.6 (4) | 5.5 (3) | 2.9 (1) | 2.3 (1) | 15/15 |
| CMAmh brockhoff | 2.5 (4) | 3.3 (5) | 3.8 (4) | 4.4 (4) | 4.6 (3) | 2.6 (2) | 2.2 (1) | 15/15 |
| DBRCGA chuang | 334 (972) | 1000 (1396) | 3245 (4435) | 1.0e4 (1e4) | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 2.7 (4) | 2.1 (3) | 2.0 (2) | 1.9 (2) | 1.8 (2) | 0.96 (0.9) | 1.6 (1.0) | 15/15 |
| DE-BFGS voglis | 1.3 (2) | 0.98 (1) | 0.97 (1.0) | 0.96 (0.8) | 0.94 (0.7) | 0.53 (0.3)↑1 | 0.59 (0.3)↑1 | 15/15 |
| DE-ROLL voglis | 41 (71) | 40 (68) | 47 (67) | 52 (70) | 59 (61) | 59 (40) | 344 (443) | 4/15 |
| DE-SIMPLEX voglis | 10 (13) | 13 (11) | 16 (10) | 18 (12) | 22 (9) | 15 (8) | 55 (88) | 7/15 |
| DEAE posik | 11 (1) | 9.1 (4) | 8.8 (4) | 10 (4) | 10 (4) | 5.7 (2) | 4.8 (1) | 15/15 |
| DE posik | 337 (678) | 749 (1004) | 1345 (1362) | 5388 (6745) | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | 337 (495) | 749 (1316) | 1345 (1967) | 5388 (6115) | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 224 (161) | 435 (444) | 1345 (1635) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 0.97 (0.7) | 1.0 (0.9) | 1.1 (0.9) | 1.3 (1.0) | 1.4 (0.8) | 0.82 (0.3) | 0.69 (0.3) | 15/15 |
| JADE posik | 18 (3) | 13 (2) | 13 (8) | 14 (9) | 15 (8) | 9.0 (3) | 7.8 (3) | 15/15 |
| JADEb posik | 10 (3) | 17 (13) | 20 (15) | 23 (13) | 24 (11) | 13 (5) | 11 (4) | 15/15 |
| JADEctpb posik | 18 (3) | 13 (2) | 13 (8) | 14 (9) | 15 (8) | 9.0 (3) | 7.8 (3) | 15/15 |
| MVDE melo | 416 (544) | 1081 (1279) | 5738 (6141) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.2 (3) | 4.6 (4) | 5.1 (4) | 5.3 (3) | 5.4 (3) | 2.9 (1) | 2.3 (0.8) | 15/15 |
| NIPOPaCMA loshchilov | 2.6 (2) | 3.5 (3) | 3.9 (3) | 4.3 (2) | 4.4 (2) | 2.5 (0.9) | 2.0 (0.7) | 15/15 |
| PSO-BFGS voglis | 1.9 (1) | 1.8 (1) | 1.7 (1.0) | 1.6 (0.9) | 1.5 (0.8) | 1.0 (0.9) | 3.5 (5) | 15/15 |
| SNES schaul | 14 (29) | 64 (50) | 411 (655) | 881 (972) | 3005 (3745) | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 7.9 (0.8) | 7.0 (3) | 9.2 (3) | 10 (6) | 10 (6) | 5.6 (3) | 5.5 (2) | 15/15 |
| xNESas schaul | 4.1 (0.8) | 3.5 (0.9) | 5.8 (4) | 9.0 (10) | 14 (17) | 8.0 (9) | 6.4 (7) | 15/15 |
| Δ fopt f13, 10-D |
1e1 387 |
1e0 596 |
1e-1 797 |
1e-2 1014 |
1e-3 4587 |
1e-5 6208 |
1e-7 7779 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1068 (1012) | 1.9e4 (2e4) | 3.6e4 (6e4) | 4.1e4 (5e4) | 1.5e4 (2e4) | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 2.5 (2) | 3.6 (2) | 3.3 (1) | 3.4 (1) | 0.97 (0.2) | 0.97 (0.2) | 1.2 (0.7) | 15/15 |
| BIPOPsaACM loshchilov | 0.75 (0.1)↑1 | 1.0 (0.5) | 1.2 (0.5) | 1.0 (0.4) | 0.27 (0.1)↑0 | 0.30 (0.2)↑0 | 0.32 (0.1)↑0 | 15/15 |
| CMAES posik | 2.9 (2) | 4.2 (3) | 4.7 (2) | 5.4 (3) | 1.4 (0.7) | 1.9 (1) | 2.6 (2) | 15/15 |
| CMA brockhoff | 2.7 (2) | 5.9 (4) | 6.1 (3) | 5.2 (3) | 1.5 (0.6) | 1.4 (0.5) | 1.4 (0.5) | 15/15 |
| CMAa brockhoff | 2.3 (1) | 3.7 (2) | 3.6 (1) | 3.8 (1) | 0.98 (0.2) | 1.0 (0.3) | 0.99 (0.4) | 15/15 |
| CMAm brockhoff | 1.9 (0.6) | 5.1 (5) | 6.1 (4) | 6.6 (3) | 1.7 (0.5) | 1.7 (0.6) | 1.8 (0.7) | 15/15 |
| CMAma brockhoff | 1.7 (0.4) | 3.7 (2) | 5.0 (3) | 4.8 (2) | 1.1 (0.4) | 1.3 (0.5) | 1.4 (0.6) | 15/15 |
| CMAmah brockhoff | 2.4 (3) | 5.4 (4) | 5.6 (2) | 4.8 (1) | 1.4 (0.5) | 1.6 (0.6) | 1.6 (0.6) | 15/15 |
| CMAmh brockhoff | 2.9 (3) | 6.1 (6) | 8.9 (4) | 7.9 (3) | 2.0 (0.4) | 2.1 (1) | 2.2 (1) | 15/15 |
| DBRCGA chuang | 201 (175) | 552 (841) | 2132 (1866) | 4473 (4351) | 1487 (2270) | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 1.5 (0.1) | 1.1 (0.1) | 1.00 (0.1)↑1 | 0.99 (0.3) | 0.52 (0.4) | 1.6 (1) | 32 (27) | 10/15 |
| DE-BFGS voglis | 0.84 (0.1)↑1 | 0.74 (0.1)↑1 | 0.70 (0.0)↑1 | 0.66 (0.0)↑1 | 0.17 (0.0)↑0 | 2.5 (0.3) | ∞1e6 | 0/15 |
| DE-ROLL voglis | 16 (16) | 17 (13) | 31 (25) | 34 (25) | 10 (8) | 13 (5) | 65 (85) | 8/15 |
| DE-SIMPLEX voglis | 11 (11) | 13 (10) | 16 (12) | 19 (8) | 4.7 (1) | 4.6 (1) | 14 (12) | 7/15 |
| DEAE posik | 8.2 (0.8) | 7.9 (0.5) | 7.9 (0.5) | 7.8 (0.3) | 2.1 (0.1) | 2.0 (0.1) | 2.0 (0.1) | 15/15 |
| DE posik | 21 (7) | 52 (28) | 188 (74) | 417 (76) | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | 21 (7) | 52 (28) | 188 (74) | 417 (76) | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 25 (8) | 78 (29) | 225 (86) | 729 (542) | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 0.96 (0.4) | 1.4 (1) | 1.3 (0.7) | 1.3 (0.6) | 0.32 (0.1)↑0 | 0.31 (0.1)↑0 | 0.31 (0.1)↑0 | 15/15 |
| JADE posik | 11 (2) | 14 (2) | 13 (2) | 12 (2) | 3.1 (0.4) | 3.2 (0.9) | 3.1 (0.8) | 15/15 |
| JADEb posik | 11 (10) | 19 (14) | 25 (17) | 25 (12) | 6.7 (3) | 8.7 (4) | 14 (5) | 15/15 |
| JADEctpb posik | 11 (2) | 14 (2) | 13 (2) | 12 (2) | 3.1 (0.4) | 3.2 (0.9) | 3.1 (0.8) | 15/15 |
| MVDE melo | 42 (11) | 141 (83) | 3336 (3955) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.8 (2) | 3.6 (2) | 3.9 (1) | 3.5 (1) | 0.90 (0.3) | 1.0 (0.4) | 1.4 (1) | 15/15 |
| NIPOPaCMA loshchilov | 2.4 (2) | 3.7 (2) | 3.6 (2) | 4.3 (2) | 1.1 (0.4) | 1.1 (0.5) | 1.2 (0.5) | 15/15 |
| PSO-BFGS voglis | 0.92 (0.4) | 0.80 (0.3) | 0.75 (0.2) | 0.70 (0.2)↑1 | 0.18 (0.0)↑0 | 357 (326) | ∞1e6 | 0/15 |
| SNES schaul | 23 (39) | 97 (99) | 370 (274) | 782 (882) | 492 (475) | 1651 (1461) | 5379 (3143) | 0/15 |
| xNES schaul | 5.5 (0.3) | 6.0 (0.1) | 6.1 (0.1) | 6.2 (0.2) | 1.7 (0.0) | 1.7 (0.0) | 1.7 (0.0) | 15/15 |
| xNESas schaul | 3.6 (0.8) | 3.5 (1.0) | 16 (27) | 18 (35) | 8.0 (11) | 9.5 (14) | 10 (12) | 15/15 |
| Δ fopt f14, 10-D |
1e1 37 |
1e0 98 |
1e-1 133 |
1e-2 205 |
1e-3 392 |
1e-5 687 |
1e-7 4305 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.3 (3) | 6.5 (1) | 7.6 (1) | 8.9 (1) | 13 (4) | 662 (245) | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 2.2 (1) | 3.0 (0.6) | 3.7 (0.6) | 3.8 (0.4) | 3.3 (0.4) | 3.5 (0.3) | 0.86 (0.1)↑0 | 15/15 |
| BIPOPsaACM loshchilov | 2.7 (1) | 2.2 (0.5) | 2.4 (0.3) | 2.2 (0.2) | 1.6 (0.1) | 1.4 (0.1) | 0.31 (0.0)↑0 | 15/15 |
| CMAES posik | 2.3 (2) | 3.1 (0.9) | 3.9 (0.7) | 4.3 (0.7) | 4.0 (0.4) | 5.2 (0.5) | 1.3 (0.1) | 15/15 |
| CMA brockhoff | 2.5 (2) | 3.1 (0.7) | 3.8 (0.5) | 4.2 (0.7) | 3.9 (0.7) | 5.3 (0.6) | 1.4 (0.2) | 15/15 |
| CMAa brockhoff | 2.9 (2) | 3.3 (0.6) | 4.1 (0.8) | 3.9 (0.8) | 3.2 (0.5) | 3.5 (0.4) | 0.84 (0.1)↑0 | 15/15 |
| CMAm brockhoff | 2.5 (2) | 2.9 (0.8) | 3.2 (0.7) | 3.7 (0.9) | 3.8 (0.8) | 5.2 (0.5) | 1.5 (0.2) | 15/15 |
| CMAma brockhoff | 1.9 (1) | 2.5 (0.6) | 3.1 (0.6) | 3.3 (0.4) | 2.8 (0.3) | 3.5 (0.3) | 0.86 (0.1)↑0 | 15/15 |
| CMAmah brockhoff | 1.6 (1) | 1.9 (0.6) | 2.2 (0.7) | 2.3 (0.6) | 2.3 (0.4) | 3.4 (0.5) | 0.97 (0.1) | 15/15 |
| CMAmh brockhoff | 1.4 (1) | 1.8 (0.6) | 2.1 (0.4) | 2.5 (0.6) | 2.9 (0.6) | 5.3 (0.8) | 1.5 (0.3) | 15/15 |
| DBRCGA chuang | 18 (14) | 38 (8) | 54 (9) | 59 (15) | 60 (18) | 374 (161) | ∞1e6 | 0/15 |
| DE-AUTO voglis | 1.9 (1.0) | 1.2 (0.2) | 1.1 (0.2) | 0.97 (0.1) | 0.63 (0.1)↑0 | 0.53 (0.0)↑0 | 11 (11) | 2/15 |
| DE-BFGS voglis | 1.9 (0.3) | 1.1 (0.2) | 1.1 (0.1) | 0.93 (0.1) | 0.64 (0.1)↑0 | 0.55 (0.1)↑0 | 19 (29) | 0/15 |
| DE-ROLL voglis | 2.1 (0.6) | 19 (21) | 21 (18) | 14 (12) | 16 (14) | 111 (46) | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 4.4 (4) | 16 (10) | 34 (24) | 29 (13) | 20 (10) | 24 (13) | 19 (21) | 8/15 |
| DEAE posik | 6.9 (3) | 13 (3) | 17 (3) | 18 (2) | 12 (1) | 10 (0.7) | 2.1 (0.1) | 15/15 |
| DE posik | 8.7 (7) | 19 (4) | 23 (5) | 28 (7) | 46 (12) | 1101 (796) | ∞5e5 | 0/15 |
| DEb posik | 8.7 (7) | 19 (4) | 23 (5) | 28 (7) | 46 (12) | 1101 (1101) | ∞5e5 | 0/15 |
| DEctpb posik | 7.0 (7) | 20 (6) | 25 (4) | 29 (4) | 46 (11) | 2048 (2068) | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 2.2 (2) | 2.3 (0.5) | 2.4 (0.5) | 2.2 (0.5) | 1.6 (0.2) | 1.5 (0.2) | 0.31 (0.0)↑0 | 15/15 |
| JADE posik | 4.8 (3) | 11 (2) | 15 (2) | 16 (2) | 16 (2) | 16 (3) | 3.4 (0.6) | 15/15 |
| JADEb posik | 3.8 (2) | 7.9 (2) | 11 (1) | 12 (2) | 14 (3) | 20 (9) | 20 (20) | 7/15 |
| JADEctpb posik | 4.8 (3) | 11 (2) | 15 (2) | 16 (2) | 16 (2) | 16 (3) | 3.4 (0.6) | 15/15 |
| MVDE melo | 12 (9) | 35 (4) | 46 (4) | 51 (7) | 87 (25) | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.1 (2) | 3.0 (1) | 3.7 (0.5) | 3.9 (0.7) | 3.3 (0.6) | 3.7 (0.4) | 0.88 (0.1)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 3.0 (2) | 3.2 (0.8) | 4.0 (0.6) | 4.0 (0.7) | 3.3 (0.4) | 3.7 (0.3) | 0.87 (0.1)↑1 | 15/15 |
| PSO-BFGS voglis | 1.9 (0.8) | 1.2 (0.2) | 1.1 (0.2) | 0.96 (0.2) | 0.66 (0.1)↑0 | 0.55 (0.1)↑0 | 259 (360) | 0/15 |
| SNES schaul | 1.8 (1.0) | 2.1 (0.6) | 3.4 (0.6) | 4.4 (0.8) | 6.2 (2) | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 2.0 (0.9) | 3.1 (1) | 8.8 (1) | 10 (0.7) | 7.7 (0.3) | 7.1 (0.3) | 1.5 (0.1) | 15/15 |
| xNESas schaul | 2.0 (2) | 3.3 (0.9) | 7.1 (2) | 7.8 (1) | 5.9 (0.9) | 5.5 (0.7) | 1.2 (0.1) | 15/15 |
| Δ fopt f15, 10-D |
1e1 4774 |
1e0 39246 |
1e-1 73643 |
1e-2 74669 |
1e-3 75790 |
1e-5 77814 |
1e-7 79834 |
#succ 12/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 41 (40) | 220 (182) | 436 (413) | 430 (776) | 424 (428) | 413 (591) | 402 (382) | 4/15 |
| BIPOPaCMA loshchilov | 1.1 (0.7) | 1.5 (1) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 15/15 |
| BIPOPsaACM loshchilov | 1.0 (1.0) | 1.1 (0.8) | 0.89 (0.5) | 0.88 (0.5) | 0.87 (0.5) | 0.92 (0.8) | 0.91 (0.8) | 15/15 |
| CMAES posik | 2.0 (2) | 190 (455) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 0.89 (0.7) | 1.2 (0.7) | 0.79 (0.4) | 0.80 (0.4) | 0.80 (0.4) | 0.81 (0.4) | 0.82 (0.4) | 15/15 |
| CMAa brockhoff | 1.1 (1) | 1.0 (0.6) | 0.76 (0.4) | 0.77 (0.4) | 0.77 (0.4) | 0.78 (0.4) | 0.79 (0.4) | 15/15 |
| CMAm brockhoff | 0.74 (0.5) | 1.0 (0.8) | 1.0 (0.6) | 1.0 (0.6) | 1.0 (0.6) | 1.1 (0.6) | 1.1 (0.6) | 15/15 |
| CMAma brockhoff | 0.91 (1.0) | 0.89 (0.4) | 0.93 (0.7) | 0.93 (0.7) | 0.94 (0.7) | 0.95 (0.7) | 0.96 (0.7) | 15/15 |
| CMAmah brockhoff | 1.4 (1) | 0.96 (0.3) | 0.78 (0.4) | 0.78 (0.4) | 0.79 (0.4) | 0.80 (0.4) | 0.80 (0.4) | 15/15 |
| CMAmh brockhoff | 1.3 (1) | 0.97 (0.8) | 0.95 (0.8) | 0.95 (0.8) | 0.95 (0.8) | 0.96 (0.8) | 0.97 (0.8) | 15/15 |
| DBRCGA chuang | 126 (124) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 24 (14) | 68 (110) | 203 (170) | 200 (154) | 197 (188) | 192 (180) | 187 (191) | 1/15 |
| DE-BFGS voglis | 4.5 (3) | 6.5 (4) | 8.8 (8) | 8.7 (7) | 8.5 (11) | 8.3 (8) | 8.1 (8) | 12/15 |
| DE-ROLL voglis | 24 (24) | 38 (32) | 199 (184) | 197 (131) | 194 (159) | 189 (228) | 184 (163) | 1/15 |
| DE-SIMPLEX voglis | 18 (10) | 16 (13) | 29 (33) | 29 (27) | 28 (22) | 28 (29) | 27 (33) | 6/15 |
| DEAE posik | 56 (62) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 108 (61) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | 108 (92) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 84 (54) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 0.90 (0.9) | 0.72 (0.5) | 0.76 (0.4) | 0.75 (0.4) | 0.74 (0.4) | 0.73 (0.4) | 0.73 (0.4) | 15/15 |
| JADE posik | 3.9 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEb posik | 14 (15) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEctpb posik | 3.9 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| MVDE melo | 37 (29) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 0.77 (0.6) | 1.9 (0.9) | 1.3 (0.8) | 1.3 (0.8) | 1.3 (0.8) | 1.3 (0.8) | 1.3 (0.8) | 15/15 |
| NIPOPaCMA loshchilov | 0.71 (0.6) | 0.78 (0.8) | 0.75 (0.4) | 0.76 (0.4) | 0.76 (0.4) | 0.77 (0.4) | 0.78 (0.4) | 15/15 |
| PSO-BFGS voglis | 43 (30) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 5.0 (6) | 503 (565) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 2.4 (3) | 190 (214) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 3.7 (4) | 168 (165) | 407 (461) | 401 (414) | 395 (344) | 385 (404) | 375 (456) | 2/15 |
| Δ fopt f16, 10-D |
1e1 425 |
1e0 7029 |
1e-1 15779 |
1e-2 45669 |
1e-3 51151 |
1e-5 65798 |
1e-7 71570 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 169 (139) | 981 (1142) | 489 (581) | 328 (575) | 364 (296) | 683 (537) | 2005 (2480) | 1/15 |
| BIPOPaCMA loshchilov | 2.6 (2) | 0.71 (1) | 0.84 (1.0) | 0.50 (0.4)↑1 | 0.75 (0.8) | 0.78 (0.8) | 0.76 (0.7) | 15/15 |
| BIPOPsaACM loshchilov | 2.4 (2) | 0.67 (0.7) | 0.82 (0.5) | 0.58 (0.6) | 0.69 (0.6) | 0.63 (0.5) | 0.61 (0.5) | 15/15 |
| CMAES posik | 2.7 (0.9) | 2.0 (2) | 8.3 (9) | 10 (13) | 41 (34) | 107 (125) | 98 (140) | 0/15 |
| CMA brockhoff | 2.2 (1) | 1.2 (1) | 1.8 (2) | 0.93 (0.6) | 1.0 (0.9) | 0.84 (0.7) | 0.80 (0.6) | 15/15 |
| CMAa brockhoff | 2.4 (2) | 0.78 (1) | 0.90 (0.9) | 0.69 (0.6) | 1.0 (0.8) | 0.84 (0.6) | 0.80 (0.6) | 15/15 |
| CMAm brockhoff | 1.6 (0.8) | 0.95 (1) | 1.3 (0.8) | 0.66 (0.5) | 0.77 (0.6) | 0.76 (0.7) | 0.73 (0.6) | 15/15 |
| CMAma brockhoff | 1.4 (0.7) | 1.2 (1) | 1.2 (0.7) | 0.67 (0.5) | 0.67 (0.4) | 0.56 (0.4)↑1 | 0.53 (0.3)↑1 | 15/15 |
| CMAmah brockhoff | 3.2 (4) | 0.85 (0.7) | 1.0 (0.6) | 0.52 (0.3)↑1 | 0.62 (0.4) | 0.52 (0.4)↑0 | 0.49 (0.3)↑0 | 15/15 |
| CMAmh brockhoff | 2.6 (4) | 1.1 (1) | 1.3 (0.9) | 0.65 (0.5) | 0.88 (0.5) | 0.74 (0.4) | 0.70 (0.4) | 15/15 |
| DBRCGA chuang | 8.6 (6) | 56 (66) | 283 (261) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 18 (22) | 45 (37) | 90 (106) | 103 (92) | 293 (206) | ∞ | ∞1e6 | 0/15 |
| DE-BFGS voglis | 26 (24) | 15 (10) | 39 (51) | 91 (105) | 279 (377) | ∞ | ∞1e6 | 0/15 |
| DE-ROLL voglis | 13 (10) | 49 (49) | 148 (205) | 316 (291) | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 6.0 (10) | 13 (9) | 94 (115) | 150 (154) | 134 (136) | 107 (100) | ∞1e6 | 0/15 |
| DEAE posik | 70 (59) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 106 (76) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | 106 (76) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 114 (104) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 2.5 (1) | 0.67 (0.7) | 0.72 (0.6) | 0.39 (0.2)↑0 | 0.44 (0.2)↑1 | 0.36 (0.1)↑1 | 0.34 (0.1)↑1 | 15/15 |
| JADE posik | 17 (9) | 82 (160) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEb posik | 20 (14) | 112 (157) | 207 (261) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEctpb posik | 17 (9) | 82 (108) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| MVDE melo | 20 (17) | 193 (154) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.3 (2) | 0.67 (0.5) | 1.1 (0.6) | 0.49 (0.4) | 0.48 (0.4)↑0 | 0.40 (0.3)↑0 | 0.38 (0.3)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 2.8 (2) | 0.63 (0.5) | 0.68 (0.7) | 0.41 (0.2)↑0 | 0.44 (0.2)↑1 | 0.37 (0.2)↑1 | 0.36 (0.2)↑1 | 15/15 |
| PSO-BFGS voglis | 42 (26) | 245 (339) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 2.6 (2) | 1.4 (2) | 14 (12) | 26 (54) | 65 (59) | 322 (494) | ∞3e6 | 0/15 |
| xNES schaul | 8.2 (5) | 2.2 (3) | 3.9 (5) | 2.6 (3) | 3.2 (3) | 2.6 (2) | 2.4 (2) | 15/15 |
| xNESas schaul | 7.1 (5) | 1.8 (2) | 3.2 (6) | 2.0 (2) | 2.2 (2) | 1.8 (2) | 1.7 (1) | 15/15 |
| Δ fopt f17, 10-D |
1e1 26 |
1e0 429 |
1e-1 2203 |
1e-2 6329 |
1e-3 9851 |
1e-5 20190 |
1e-7 26503 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 5.5 (3) | 2.6 (0.7) | 1.1 (0.4) | 11 (26) | 24 (31) | 239 (338) | 278 (320) | 11/15 |
| BIPOPaCMA loshchilov | 2.2 (1) | 1.1 (0.5) | 0.81 (1) | 1.4 (2) | 1.3 (1.0) | 0.90 (0.3) | 1.2 (0.8) | 15/15 |
| BIPOPsaACM loshchilov | 2.0 (2) | 2.6 (1) | 1.5 (2) | 1.2 (0.7) | 1.1 (0.5) | 1.1 (0.6) | 2.1 (2) | 15/15 |
| CMAES posik | 2.1 (1) | 1.1 (0.6) | 0.43 (0.1)↑0 | 1.2 (1) | 2.6 (4) | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 2.0 (2) | 1.1 (0.3) | 0.66 (0.2)↑1 | 0.74 (0.6) | 1.1 (0.9) | 0.81 (0.3) | 1.1 (0.4) | 15/15 |
| CMAa brockhoff | 2.4 (2) | 1.0 (0.3) | 0.61 (0.1)↑1 | 0.87 (0.8) | 0.80 (0.5) | 0.75 (0.3) | 0.86 (0.3) | 15/15 |
| CMAm brockhoff | 1.8 (1) | 1.1 (0.6) | 1.1 (1) | 0.68 (0.4) | 0.80 (0.5) | 0.80 (0.1)↑0 | 0.92 (0.4) | 15/15 |
| CMAma brockhoff | 1.5 (1) | 3.0 (0.4) | 1.2 (1) | 0.86 (1) | 0.84 (0.5) | 0.75 (0.2)↑0 | 0.79 (0.4) | 15/15 |
| CMAmah brockhoff | 1.4 (0.7) | 4.2 (7) | 1.6 (1) | 1.1 (0.5) | 1.3 (0.6) | 1.1 (0.6) | 1.1 (0.4) | 15/15 |
| CMAmh brockhoff | 1.5 (2) | 6.6 (9) | 2.4 (2) | 1.1 (0.6) | 1.1 (0.9) | 0.99 (0.3) | 1.1 (0.4) | 15/15 |
| DBRCGA chuang | 3.7 (4) | 16 (6) | 77 (67) | 364 (401) | 1426 (1574) | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 37 (99) | 207 (180) | 150 (235) | 153 (238) | 108 (182) | 69 (56) | 169 (189) | 1/15 |
| DE-BFGS voglis | 7.0 (8) | 38 (24) | 144 (229) | 90 (89) | 115 (103) | 83 (64) | ∞1e6 | 0/15 |
| DE-ROLL voglis | 14 (12) | 99 (62) | 118 (234) | 135 (164) | 454 (600) | ∞ | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 18 (40) | 114 (35) | 467 (686) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEAE posik | 3.4 (5) | 6.3 (2) | 2.7 (0.4) | 1.6 (0.3) | 1.4 (0.2) | 1.3 (0.1) | 1.5 (0.9) | 15/15 |
| DE posik | 3.5 (4) | 7.4 (2) | 3.8 (0.9) | 2.4 (0.5) | 2.6 (0.8) | 12 (12) | 45 (35) | 5/15 |
| DEb posik | 3.5 (4) | 7.4 (2) | 3.8 (0.9) | 2.4 (0.5) | 2.6 (0.8) | 12 (12) | 45 (42) | 5/15 |
| DEctpb posik | 4.0 (5) | 8.1 (2) | 4.6 (0.7) | 3.2 (0.5) | 3.4 (0.5) | 5.1 (2) | 14 (12) | 13/15 |
| IPOPsaACM loshchilov | 2.4 (2) | 1.1 (0.3) | 1.1 (1) | 1.0 (0.9) | 1.2 (0.7) | 1.2 (0.5) | 1.4 (0.6) | 15/15 |
| JADE posik | 3.3 (4) | 5.2 (1.0) | 2.8 (0.6) | 1.8 (0.3) | 1.9 (0.5) | 5.2 (12) | 6.8 (15) | 12/15 |
| JADEb posik | 2.8 (3) | 4.1 (2) | 2.7 (1) | 4.6 (5) | 14 (23) | 75 (99) | ∞5e5 | 0/15 |
| JADEctpb posik | 3.3 (4) | 5.2 (1.0) | 2.8 (0.6) | 1.8 (0.3) | 1.9 (0.5) | 5.2 (12) | 6.8 (10) | 12/15 |
| MVDE melo | 4.8 (5) | 16 (3) | 13 (4) | 24 (8) | 42 (52) | 158 (152) | 566 (425) | 0/15 |
| NBIPOPaCMA loshchilov | 3.0 (3) | 3.2 (7) | 1.5 (2) | 1.0 (0.6) | 1.3 (0.9) | 1.0 (0.5) | 1.3 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 2.2 (1.0) | 1.1 (0.2) | 0.84 (1) | 0.79 (0.6) | 1.1 (0.5) | 0.81 (0.3) | 0.94 (0.5) | 15/15 |
| PSO-BFGS voglis | 7.8 (8) | 108 (99) | 201 (246) | 141 (146) | 125 (118) | 170 (147) | ∞1e6 | 0/15 |
| SNES schaul | 1.6 (2) | 1.1 (0.7) | 4.2 (7) | 4.1 (5) | 6.4 (6) | 28 (20) | 517 (518) | 2/15 |
| xNES schaul | 2.6 (2) | 1.8 (0.7) | 1.2 (0.2) | 0.74 (0.0)↑0 | 0.69 (0.0)↑0 | 1.5 (1) | 6.1 (7) | 15/15 |
| xNESas schaul | 1.5 (1) | 1.7 (0.3) | 1.1 (0.1) | 0.69 (0.0)↑0 | 0.63 (0.0)↑0 | 1.2 (1) | 2.8 (3) | 15/15 |
| Δ fopt f18, 10-D |
1e1 238 |
1e0 836 |
1e-1 7012 |
1e-2 15928 |
1e-3 27536 |
1e-5 37234 |
1e-7 42708 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.8 (1) | 2.9 (1) | 118 (35) | 207 (346) | 747 (1091) | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.0 (0.4) | 2.2 (4) | 0.84 (0.9) | 0.98 (0.5) | 0.72 (0.5) | 0.85 (0.4) | 0.96 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 1.5 (0.6) | 2.2 (4) | 0.81 (0.6) | 0.61 (0.3) | 0.63 (0.4) | 0.91 (0.6) | 0.91 (0.6) | 15/15 |
| CMAES posik | 1.2 (0.6) | 2.0 (4) | 1.4 (2) | 6.3 (5) | 45 (63) | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 1.0 (0.4) | 1.7 (0.5) | 1.0 (0.7) | 1.1 (0.9) | 0.83 (0.5) | 0.92 (0.3) | 0.93 (0.3) | 15/15 |
| CMAa brockhoff | 1.1 (0.4) | 2.9 (4) | 0.85 (1) | 0.84 (0.3) | 0.74 (0.3) | 0.74 (0.3) | 0.84 (0.3) | 15/15 |
| CMAm brockhoff | 0.94 (0.4) | 0.91 (0.4) | 0.66 (0.4) | 0.88 (0.8) | 0.82 (0.4) | 0.82 (0.3) | 0.85 (0.3)↑0 | 15/15 |
| CMAma brockhoff | 1.0 (0.4) | 1.6 (3) | 0.78 (0.4) | 0.67 (0.3) | 0.63 (0.5) | 0.70 (0.3)↑1 | 0.69 (0.2)↑0 | 15/15 |
| CMAmah brockhoff | 1.8 (0.8) | 8.4 (6) | 2.2 (3) | 1.4 (1) | 0.97 (0.7) | 0.92 (0.6) | 0.88 (0.5) | 15/15 |
| CMAmh brockhoff | 1.2 (1) | 6.3 (7) | 2.0 (2) | 1.3 (0.8) | 1.1 (0.5) | 1.0 (0.4) | 1.0 (0.4) | 15/15 |
| DBRCGA chuang | 12 (4) | 25 (7) | 108 (131) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 106 (99) | 250 (359) | 108 (127) | 70 (65) | 82 (65) | 399 (505) | ∞1e6 | 0/15 |
| DE-BFGS voglis | 25 (15) | 51 (31) | 71 (94) | 91 (80) | 115 (181) | 191 (172) | ∞1e6 | 0/15 |
| DE-ROLL voglis | 78 (39) | 315 (613) | 421 (538) | 904 (755) | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 135 (112) | 1303 (1659) | 972 (1357) | 918 (943) | 532 (564) | ∞ | ∞1e6 | 0/15 |
| DEAE posik | 5.1 (2) | 5.0 (1) | 1.1 (0.2) | 0.94 (0.2)↑1 | 0.88 (0.8) | 0.84 (0.6) | 0.92 (0.6) | 15/15 |
| DE posik | 5.9 (2) | 12 (7) | 10 (4) | 12 (12) | 19 (19) | 96 (83) | ∞5e5 | 0/15 |
| DEb posik | 5.9 (2) | 12 (7) | 10 (4) | 12 (12) | 19 (27) | 96 (94) | ∞5e5 | 0/15 |
| DEctpb posik | 6.1 (2) | 13 (5) | 6.0 (3) | 10 (7) | 18 (21) | 197 (212) | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 1.3 (0.6) | 1.2 (0.5) | 1.6 (1) | 0.92 (0.6) | 0.75 (0.5) | 1.0 (0.4) | 1.3 (0.6) | 15/15 |
| JADE posik | 4.1 (2) | 6.4 (2) | 1.6 (0.3) | 0.96 (0.1) | 1.9 (3) | 4.9 (7) | 16 (23) | 7/15 |
| JADEb posik | 3.2 (2) | 5.6 (2) | 4.6 (7) | 49 (42) | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEctpb posik | 4.1 (2) | 6.4 (2) | 1.6 (0.3) | 0.96 (0.1) | 1.9 (3) | 4.9 (7) | 16 (25) | 7/15 |
| MVDE melo | 10 (4) | 32 (10) | 53 (74) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.2 (0.5) | 2.1 (4) | 0.67 (0.7) | 0.84 (0.8) | 0.81 (0.6) | 1.1 (0.7) | 1.1 (0.6) | 15/15 |
| NIPOPaCMA loshchilov | 1.2 (0.4) | 1.0 (0.2) | 0.87 (0.9) | 1.1 (0.8) | 0.81 (0.5) | 0.85 (0.3) | 0.86 (0.2) | 15/15 |
| PSO-BFGS voglis | 74 (31) | 188 (213) | 133 (161) | 292 (308) | 538 (446) | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 1.3 (0.9) | 6.2 (18) | 5.9 (6) | 15 (15) | 35 (26) | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 1.1 (0.7) | 2.2 (0.2) | 0.54 (0.0)↑0 | 0.37 (0.0)↑0 | 0.29 (0.0)↑0 | 1.1 (0.6) | 4.1 (4) | 15/15 |
| xNESas schaul | 1.1 (0.5) | 2.2 (0.5) | 0.72 (0.1)↑1 | 0.44 (0.0)↑1 | 0.32 (0.0)↑1 | 0.75 (0.5) | 1.3 (0.8) | 15/15 |
| Δ fopt f19, 10-D |
1e1 1 |
1e0 1 |
1e-1 10609 |
1e-2 9.8e5 |
1e-3 1.4e6 |
1e-5 1.4e6 |
1e-7 1.4e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 187 (48) | 1.8e6 (2e6) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 63 (48) | 1.0e4 (4478) | 11 (9) | 0.86 (0.5) | 0.77 (0.3)↑1 | 0.77 (0.3)↑1 | 0.77 (0.3)↑1 | 15/15 |
| BIPOPsaACM loshchilov | 44 (37) | 1.1e4 (8202) | 5.9 (5) | 0.68 (0.7) | 0.78 (0.5) | 0.78 (0.5) | 0.78 (0.5) | 15/15 |
| CMAES posik | 67 (50) | 1.3e4 (9380) | 144 (162) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 56 (28) | 8548 (2692) | 37 (38) | 1.1 (0.5) | 1.1 (0.5) | 1.1 (0.5) | 1.2 (0.7) | 13/15 |
| CMAa brockhoff | 63 (34) | 7971 (5628) | 35 (50) | 1.1 (1) | 0.95 (0.8) | 0.95 (1.0) | 0.94 (0.8) | 12/15 |
| CMAm brockhoff | 52 (45) | 8856 (7009) | 32 (56) | 1.0 (0.6) | 0.80 (0.4) | 0.80 (0.4) | 0.80 (0.4) | 14/15 |
| CMAma brockhoff | 56 (42) | 5.7e4 (2e4) | 31 (38) | 1.2 (0.7) | 1.1 (0.9) | 1.1 (0.8) | 1.1 (0.9) | 12/15 |
| CMAmah brockhoff | 43 (28) | 6.3e4 (8e4) | 27 (31) | 0.86 (0.5) | 0.77 (0.4) | 0.77 (0.4) | 0.77 (0.4) | 15/15 |
| CMAmh brockhoff | 42 (26) | 7109 (6223) | 55 (74) | 1.2 (0.8) | 1.2 (1) | 1.2 (0.8) | 1.2 (1) | 12/15 |
| DBRCGA chuang | 379 (265) | 1.3e5 (5e4) | 1396 (1414) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 1579 (2240) | 4.7e4 (4e4) | 96 (82) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-BFGS voglis | 665 (492) | 6773 (6367) | 10 (12) | 15 (18) | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-ROLL voglis | 801 (1046) | 2.7e4 (2e4) | 105 (162) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 1048 (1127) | 2.6e4 (2e4) | 42 (47) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEAE posik | 219 (54) | 2.3e6 (2e6) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 387 (218) | 7.5e6 (6e6) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | 387 (218) | 7.5e6 (9e6) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 305 (222) | 3.5e6 (4e6) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 60 (42) | 1.8e4 (8701) | 9.3 (8) | 0.55 (0.3)↑1 | 0.49 (0.3)↑1 | 0.49 (0.3)↑1 | 0.49 (0.3)↑1 | 15/15 |
| JADE posik | 165 (106) | 7.8e4 (6e4) | 679 (954) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEb posik | 174 (106) | 2.0e5 (1e5) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEctpb posik | 165 (106) | 7.8e4 (6e4) | 679 (542) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| MVDE melo | 473 (308) | 4.8e5 (4e5) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 73 (34) | 8153 (7547) | 13 (13) | 0.84 (0.6) | 0.82 (0.5) | 0.82 (0.5) | 0.82 (0.5) | 15/15 |
| NIPOPaCMA loshchilov | 55 (24) | 8205 (6590) | 29 (47) | 1.5 (1) | 1.5 (1) | 1.5 (1) | 1.5 (1) | 15/15 |
| PSO-BFGS voglis | 766 (800) | 1.3e4 (8284) | 16 (9) | 4.8 (5) | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 47 (20) | 3.5e4 (7e4) | 4148 (4030) | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 40 (23) | 2.6e5 (3e5) | 3159 (3543) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 38 (24) | 4.0e5 (6e5) | 1440 (1183) | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| Δ fopt f20, 10-D |
1e1 32 |
1e0 15426 |
1e-1 5.5e5 |
1e-2 5.7e5 |
1e-3 5.7e5 |
1e-5 5.8e5 |
1e-7 5.9e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 11 (4) | 1.6 (2) | 1.3 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 1.2 (1) | 15/15 |
| BIPOPaCMA loshchilov | 4.6 (1) | 3.2 (2) | 1.2 (0.4) | 1.2 (0.4) | 1.2 (0.4) | 1.2 (0.3) | 1.2 (0.3) | 15/15 |
| BIPOPsaACM loshchilov | 4.4 (0.6) | 1.4 (1) | 1.1 (0.5) | 1.1 (0.5) | 1.1 (0.5) | 1.0 (0.5) | 1.0 (0.5) | 15/15 |
| CMAES posik | 5.6 (2) | 22 (21) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 4.9 (2) | 2.8 (0.8) | 0.89 (0.4) | 0.90 (0.4) | 0.90 (0.4) | 0.91 (0.4) | 0.92 (0.4) | 15/15 |
| CMAa brockhoff | 4.8 (2) | 1.8 (0.8) | 0.86 (0.4) | 0.87 (0.4) | 0.88 (0.4) | 0.88 (0.4) | 0.89 (0.4) | 15/15 |
| CMAm brockhoff | 3.9 (2) | 3.2 (2) | 0.88 (0.4) | 0.89 (0.4) | 0.90 (0.4) | 0.90 (0.4) | 0.91 (0.4) | 15/15 |
| CMAma brockhoff | 4.2 (1) | 2.1 (0.9) | 0.77 (0.4) | 0.78 (0.4) | 0.78 (0.4) | 0.79 (0.4) | 0.79 (0.4) | 15/15 |
| CMAmah brockhoff | 3.0 (0.8) | 2.5 (1) | 0.83 (0.4) | 0.84 (0.4) | 0.85 (0.4) | 0.85 (0.4) | 0.86 (0.4) | 15/15 |
| CMAmh brockhoff | 3.0 (0.7) | 3.3 (2) | 0.75 (0.4) | 0.77 (0.4) | 0.77 (0.4) | 0.78 (0.4) | 0.78 (0.4) | 15/15 |
| DBRCGA chuang | 48 (8) | 5.8 (6) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 3.2 (0.5) | 1.6 (1) | 13 (14) | 12 (17) | 12 (18) | 12 (10) | 12 (14) | 2/15 |
| DE-BFGS voglis | 4.6 (2) | 0.43 (0.3)↑0 | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-ROLL voglis | 49 (78) | 0.57 (0.7) | 3.0 (4) | 2.9 (2) | 2.9 (5) | 2.8 (4) | 2.8 (3) | 7/15 |
| DE-SIMPLEX voglis | 11 (6) | 3.1 (2) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEAE posik | 22 (8) | 7.0 (10) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 26 (11) | 0.77 (0.3) | 0.48 (0.5) | 0.47 (0.7) | 0.47 (0.6) | 0.46 (0.5) | 0.46 (0.4) | 13/15 |
| DEb posik | 26 (11) | 0.77 (0.3) | 0.48 (0.7) | 0.47 (0.5) | 0.47 (0.6) | 0.46 (0.5) | 0.46 (0.4) | 13/15 |
| DEctpb posik | 25 (6) | 1.9 (0.5) | 0.14 (0.0)↑0 | 0.14 (0.0)↑0 | 0.15 (0.0)↑0 | 0.15 (0.0)↑0 | 0.15 (0.0)↑0 | 15/15 |
| IPOPsaACM loshchilov | 4.3 (0.7) | 0.86 (0.4) | 0.74 (0.4) | 0.76 (0.5) | 0.75 (0.5) | 0.75 (0.4) | 0.74 (0.4) | 15/15 |
| JADE posik | 14 (6) | 0.73 (0.2)↑0 | 0.16 (0.2)↑0 | 0.18 (0.2)↑0 | 0.21 (0.2)↑0 | 0.29 (0.2)↑0 | 0.34 (0.2)↑0 | 15/15 |
| JADEb posik | 11 (4) | 0.27 (0.1)↑0 | 3.0 (3) | 2.9 (3) | 2.9 (3) | 2.9 (3) | 2.8 (3) | 3/15 |
| JADEctpb posik | 14 (6) | 0.73 (0.2)↑0 | 0.16 (0.2)↑0 | 0.18 (0.2)↑0 | 0.21 (0.2)↑0 | 0.29 (0.2)↑0 | 0.34 (0.2)↑0 | 15/15 |
| MVDE melo | 50 (13) | 0.98 (0.4) | 0.22 (0.0)↑1 | 0.22 (0.0)↑1 | 0.23 (0.0)↑1 | 0.24 (0.0)↑1 | 0.25 (0.0)↑1 | 14/15 |
| NBIPOPaCMA loshchilov | 4.9 (2) | 3.1 (2) | 1.3 (0.5) | 1.3 (0.5) | 1.3 (0.5) | 1.3 (0.5) | 1.3 (0.5) | 15/15 |
| NIPOPaCMA loshchilov | 4.5 (1) | 2.6 (1) | 0.77 (0.4) | 0.78 (0.4) | 0.78 (0.4) | 0.79 (0.4) | 0.80 (0.4) | 15/15 |
| PSO-BFGS voglis | 4.2 (2) | 1.0 (0.8) | 26 (44) | 25 (19) | 25 (17) | 25 (22) | 24 (28) | 1/15 |
| SNES schaul | 3.1 (0.8) | 7.2 (6) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 3.6 (2) | 1.1 (1) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 3.4 (2) | 2.1 (3) | 106 (110) | 102 (119) | 102 (109) | 100 (92) | 99 (140) | 1/15 |
| Δ fopt f21, 10-D |
1e1 130 |
1e0 2236 |
1e-1 4392 |
1e-2 4487 |
1e-3 4618 |
1e-5 5074 |
1e-7 11329 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 36 (4) | 1457 (2283) | 1746 (2717) | 1709 (1989) | 1661 (1884) | 1512 (1606) | 677 (834) | 10/15 |
| BIPOPaCMA loshchilov | 2.7 (0.7) | 5.9 (12) | 14 (15) | 13 (15) | 13 (14) | 12 (13) | 5.4 (6) | 15/15 |
| BIPOPsaACM loshchilov | 2.5 (4) | 2.3 (2) | 1.5 (2) | 1.5 (2) | 1.5 (2) | 1.4 (2) | 0.61 (0.7) | 15/15 |
| CMAES posik | 7.0 (20) | 6.4 (6) | 6.0 (9) | 5.9 (8) | 5.7 (8) | 5.2 (7) | 2.4 (3) | 15/15 |
| CMA brockhoff | 6.8 (12) | 21 (25) | 11 (13) | 11 (13) | 11 (13) | 11 (12) | 4.9 (5) | 15/15 |
| CMAa brockhoff | 2.8 (0.7) | 53 (157) | 30 (76) | 29 (76) | 29 (75) | 26 (67) | 12 (30) | 13/15 |
| CMAm brockhoff | 2.5 (1) | 50 (138) | 46 (73) | 45 (76) | 44 (71) | 40 (65) | 18 (30) | 12/15 |
| CMAma brockhoff | 5.7 (9) | 89 (147) | 47 (109) | 46 (72) | 45 (70) | 41 (64) | 19 (41) | 12/15 |
| CMAmah brockhoff | 2.4 (5) | 71 (146) | 63 (122) | 62 (159) | 60 (81) | 55 (98) | 25 (33) | 11/15 |
| CMAmh brockhoff | 2.3 (5) | 108 (151) | 67 (115) | 66 (79) | 65 (77) | 59 (66) | 27 (58) | 11/15 |
| DBRCGA chuang | 18 (8) | 40 (68) | 47 (56) | 46 (54) | 46 (53) | 42 (48) | 20 (21) | 14/15 |
| DE-AUTO voglis | 4.4 (7) | 28 (49) | 32 (36) | 32 (35) | 31 (34) | 28 (31) | 13 (14) | 15/15 |
| DE-BFGS voglis | 2.6 (2) | 7.6 (10) | 8.8 (18) | 8.7 (18) | 8.4 (18) | 7.7 (16) | 32 (51) | 4/15 |
| DE-ROLL voglis | 22 (31) | 53 (86) | 48 (92) | 47 (90) | 45 (87) | 41 (80) | 18 (36) | 15/15 |
| DE-SIMPLEX voglis | 16 (23) | 83 (156) | 83 (96) | 81 (94) | 79 (92) | 72 (83) | 32 (37) | 14/15 |
| DEAE posik | 14 (9) | 13 (15) | 10 (11) | 10 (11) | 10 (11) | 9.3 (10) | 4.2 (4) | 15/15 |
| DE posik | 24 (15) | 17 (22) | 10 (11) | 10 (11) | 10 (11) | 10 (10) | 4.6 (4) | 15/15 |
| DEb posik | 24 (15) | 17 (22) | 10 (11) | 10 (11) | 10 (11) | 10 (10) | 4.6 (4) | 15/15 |
| DEctpb posik | 21 (9) | 43 (113) | 23 (57) | 23 (56) | 22 (89) | 21 (50) | 10 (22) | 13/15 |
| IPOPsaACM loshchilov | 2.5 (4) | 15 (23) | 48 (109) | 47 (107) | 46 (104) | 42 (95) | 19 (43) | 15/15 |
| JADE posik | 7.7 (3) | 6.0 (6) | 3.6 (3) | 4.5 (5) | 5.0 (5) | 6.3 (7) | 3.7 (4) | 15/15 |
| JADEb posik | 23 (45) | 25 (31) | 18 (18) | 18 (18) | 18 (18) | 16 (16) | 7.4 (7) | 15/15 |
| JADEctpb posik | 7.7 (3) | 6.0 (6) | 3.6 (3) | 4.5 (5) | 5.0 (5) | 6.3 (7) | 3.7 (4) | 15/15 |
| MVDE melo | 21 (9) | 8.9 (8) | 6.5 (4) | 10 (7) | 13 (9) | 19 (13) | 12 (7) | 15/15 |
| NBIPOPaCMA loshchilov | 5.6 (11) | 11 (16) | 10 (11) | 10 (10) | 9.3 (10) | 8.5 (9) | 3.8 (4) | 15/15 |
| NIPOPaCMA loshchilov | 6.1 (10) | 99 (140) | 71 (75) | 70 (74) | 68 (72) | 62 (65) | 28 (29) | 15/15 |
| PSO-BFGS voglis | 2.6 (2) | 2.2 (3) | 2.1 (3) | 2.1 (3) | 2.1 (3) | 1.9 (3) | 26 (44) | 7/15 |
| SNES schaul | 116 (230) | 82 (94) | 77 (117) | 75 (115) | 73 (111) | 67 (101) | 30 (45) | 15/15 |
| xNES schaul | 125 (230) | 66 (58) | 94 (146) | 92 (143) | 89 (139) | 81 (126) | 37 (57) | 14/15 |
| xNESas schaul | 84 (155) | 69 (85) | 58 (59) | 56 (58) | 55 (56) | 50 (51) | 22 (23) | 15/15 |
| Δ fopt f22, 10-D |
1e1 98 |
1e0 2839 |
1e-1 6353 |
1e-2 6620 |
1e-3 6798 |
1e-5 8296 |
1e-7 10351 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 9749 (3e4) | 5191 (5568) | 1.1e4 (9444) | 1.0e4 (1e4) | 1.0e4 (9863) | 8352 (8932) | 6694 (4545) | 2/15 |
| BIPOPaCMA loshchilov | 29 (34) | 6.4 (9) | 143 (202) | 137 (194) | 133 (189) | 109 (155) | 88 (124) | 15/15 |
| BIPOPsaACM loshchilov | 13 (13) | 3.7 (6) | 32 (18) | 31 (17) | 30 (17) | 25 (14) | 20 (11) | 15/15 |
| CMAES posik | 21 (29) | 12 (12) | 56 (67) | 54 (64) | 53 (56) | 43 (50) | 35 (37) | 11/15 |
| CMA brockhoff | 6.4 (15) | 157 (231) | 1357 (1540) | 1302 (1964) | 1268 (1137) | 1039 (1232) | 833 (676) | 1/15 |
| CMAa brockhoff | 10 (15) | 127 (143) | 1359 (1171) | 1304 (1929) | 1270 (1246) | 1041 (1110) | 834 (522) | 1/15 |
| CMAm brockhoff | 14 (14) | 210 (274) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAma brockhoff | 26 (53) | 153 (215) | 1365 (1283) | 1310 (1950) | 1276 (1234) | 1045 (1096) | 838 (880) | 1/15 |
| CMAmah brockhoff | 6.8 (18) | 246 (431) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| CMAmh brockhoff | 17 (36) | 194 (220) | ∞ | ∞ | ∞ | ∞ | ∞6e5 | 0/15 |
| DBRCGA chuang | 27 (16) | 38 (41) | 62 (105) | 61 (76) | 60 (90) | 52 (63) | 43 (48) | 13/15 |
| DE-AUTO voglis | 143 (286) | 81 (104) | 206 (199) | 198 (156) | 193 (332) | 158 (270) | 127 (151) | 5/15 |
| DE-BFGS voglis | 4.2 (6) | 12 (17) | 26 (28) | 25 (27) | 24 (27) | 20 (22) | 121 (123) | 0/15 |
| DE-ROLL voglis | 34 (84) | 44 (62) | 140 (157) | 134 (276) | 132 (134) | 109 (84) | 127 (124) | 5/15 |
| DE-SIMPLEX voglis | 95 (316) | 65 (137) | 90 (136) | 87 (99) | 85 (111) | 70 (89) | 69 (77) | 10/15 |
| DEAE posik | 35 (84) | 19 (17) | 29 (39) | 28 (40) | 27 (38) | 23 (30) | 18 (27) | 13/15 |
| DE posik | 68 (19) | 45 (62) | 50 (54) | 54 (58) | 53 (49) | 46 (39) | 39 (31) | 11/15 |
| DEb posik | 68 (19) | 45 (62) | 50 (53) | 54 (79) | 53 (54) | 46 (37) | 39 (52) | 11/15 |
| DEctpb posik | 30 (28) | 128 (176) | 235 (363) | 229 (237) | 225 (275) | 187 (160) | 152 (314) | 4/15 |
| IPOPsaACM loshchilov | 119 (46) | 175 (219) | 1652 (2173) | 1585 (1778) | 1544 (1680) | 1265 (1518) | 1014 (1401) | 9/15 |
| JADE posik | 22 (4) | 68 (94) | 111 (108) | 115 (125) | 117 (145) | 144 (103) | 147 (198) | 4/15 |
| JADEb posik | 66 (146) | 11 (13) | 33 (39) | 32 (39) | 32 (38) | 26 (31) | 21 (33) | 13/15 |
| JADEctpb posik | 22 (4) | 68 (111) | 111 (116) | 115 (113) | 117 (99) | 144 (193) | 147 (221) | 4/15 |
| MVDE melo | 33 (17) | 141 (193) | 253 (363) | 259 (227) | 270 (339) | 869 (1043) | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 38 (35) | 17 (13) | 34 (16) | 32 (16) | 31 (15) | 26 (12) | 21 (10) | 15/15 |
| NIPOPaCMA loshchilov | 81 (201) | 61 (114) | 131 (147) | 126 (141) | 123 (137) | 101 (112) | 81 (90) | 15/15 |
| PSO-BFGS voglis | 5.2 (5) | 1.8 (2) | 3.0 (4) | 2.9 (4) | 2.8 (4) | 2.3 (3) | 93 (116) | 0/15 |
| SNES schaul | 307 (307) | 87 (108) | 93 (113) | 90 (108) | 89 (103) | 96 (120) | 105 (89) | 14/15 |
| xNES schaul | 125 (155) | 105 (190) | 131 (163) | 126 (157) | 123 (147) | 101 (125) | 81 (95) | 13/15 |
| xNESas schaul | 70 (204) | 53 (70) | 84 (124) | 81 (119) | 79 (116) | 65 (95) | 52 (76) | 15/15 |
| Δ fopt f23, 10-D |
1e1 3.0 |
1e0 915 |
1e-1 16425 |
1e-2 1.8e5 |
1e-3 2.0e5 |
1e-5 2.1e5 |
1e-7 2.1e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.3 (2) | 1656 (2613) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 2.5 (3) | 20 (13) | 1.8 (2) | 1.4 (2) | 1.4 (1) | 1.4 (1) | 1.4 (1) | 15/15 |
| BIPOPsaACM loshchilov | 4.6 (4) | 19 (15) | 1.8 (1) | 0.45 (0.3)↑0 | 0.55 (0.3)↑1 | 0.65 (0.4) | 0.92 (0.3) | 15/15 |
| CMAES posik | 2.7 (2) | 44 (44) | 22 (26) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 1.7 (2) | 548 (489) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAa brockhoff | 2.6 (2) | 277 (305) | 727 (1013) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAm brockhoff | 1.1 (0.7) | 243 (343) | 734 (896) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAma brockhoff | 2.7 (2) | 67 (90) | 224 (345) | 137 (150) | 124 (149) | 120 (149) | 118 (186) | 1/15 |
| CMAmah brockhoff | 3.7 (4) | 136 (266) | 459 (480) | 142 (210) | 129 (150) | 125 (142) | 123 (179) | 1/15 |
| CMAmh brockhoff | 3.0 (2) | 423 (667) | 1455 (2122) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DBRCGA chuang | 1.7 (2) | 105 (121) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 1.1 (0.8) | 2.4 (2) | 12 (13) | 38 (34) | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-BFGS voglis | 1.7 (2) | 3.6 (6) | 52 (63) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-ROLL voglis | 1.4 (1) | 5.7 (7) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 1.7 (2) | 0.57 (0.6) | 7.0 (6) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEAE posik | 1.9 (2) | 529 (408) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | 2.3 (1) | 1384 (1791) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | 2.3 (1) | 1384 (1861) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | 1.2 (1) | 473 (651) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 2.3 (3) | 199 (326) | 429 (406) | 126 (189) | 114 (208) | 111 (169) | 108 (128) | 5/15 |
| JADE posik | 1.4 (1) | 89 (93) | 137 (167) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEb posik | 1.8 (2) | 169 (135) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEctpb posik | 1.4 (1) | 89 (93) | 137 (124) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| MVDE melo | 1.9 (2) | 163 (280) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.2 (2) | 18 (19) | 2.9 (2) | 1.2 (1.0) | 1.5 (1) | 1.5 (1.0) | 1.5 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 2.6 (2) | 88 (109) | 8.4 (8) | 1.2 (0.7) | 1.1 (0.7) | 1.2 (0.7) | 1.2 (0.7) | 15/15 |
| PSO-BFGS voglis | 1.6 (2) | 3.0 (4) | 22 (16) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 1.2 (1) | 60 (59) | 113 (105) | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 1.6 (2) | 933 (1037) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 1.3 (1) | 594 (669) | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| Δ fopt f24, 10-D |
1e1 98761 |
1e0 1.0e6 |
1e-1 7.5e7 |
1e-2 7.5e7 |
1e-3 7.5e7 |
1e-5 7.5e7 |
1e-7 7.5e7 |
#succ 1/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 0.98 (1) | 2.2 (2) | 0.93 (0.9) | 0.93 (0.7) | 0.93 (1) | 0.93 (1) | 0.93 (0.8) | 2/15 |
| BIPOPsaACM loshchilov | 1.3 (2) | 1.6 (2) | 0.61 (0.5) | 2.0 (3) | 2.0 (1) | 2.0 (2) | 2.0 (2) | 1/15 |
| CMAES posik | 0.95 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| CMA brockhoff | 41 (41) | 27 (26) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAa brockhoff | 18 (21) | 13 (8) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAm brockhoff | 18 (31) | 5.5 (9) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAma brockhoff | 27 (23) | 5.8 (7) | 0.39 (0.3) | 0.39 (0.5) | 0.39 (0.4) | 0.39 (0.6) | 0.39 (0.3) | 1/15 |
| CMAmah brockhoff | 56 (76) | 27 (26) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAmh brockhoff | 82 (102) | 13 (15) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DBRCGA chuang | 32 (41) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-AUTO voglis | 143 (208) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-BFGS voglis | 142 (124) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-ROLL voglis | 41 (46) | 6.9 (6) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE-SIMPLEX voglis | 21 (26) | 6.8 (6) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| IPOPsaACM loshchilov | 72 (94) | 17 (16) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| JADE posik | 34 (57) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEb posik | 21 (27) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| JADEctpb posik | 34 (37) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 0.90 (0.8) | 1.2 (2) | 0.58 (0.9) | 0.59 (0.6) | 0.59 (0.8) | 0.59 (0.7) | 0.59 (0.7) | 3/15 |
| NIPOPaCMA loshchilov | 6.8 (14) | 1.0 (2) | 0.23 (0.3) | 0.31 (0.4) | 0.31 (0.3) | 0.31 (0.5) | 0.31 (0.3) | 5/15 |
| PSO-BFGS voglis | 8.4 (13) | 7.0 (10) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| SNES schaul | 1.4 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| xNES schaul | 336 (328) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| xNESas schaul | 731 (494) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
Previous dimension | Dimension = 20 | Next dimension
| Δ fopt f1, 20-D |
1e1 43 |
1e0 43 |
1e-1 43 |
1e-2 43 |
1e-3 43 |
1e-5 43 |
1e-7 43 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 24 (5) | 43 (8) | 60 (8) | 77 (8) | 95 (9) | 129 (10) | 164 (8) | 15/15 |
| BIPOPaCMA loshchilov | 7.5 (2) | 14 (2) | 20 (2) | 27 (2) | 33 (2) | 46 (4) | 59 (4) | 15/15 |
| BIPOPsaACM loshchilov | 4.0 (0.2) | 5.1 (0.4) | 6.6 (0.7) | 7.9 (0.6) | 10 (0.7) | 13 (0.8) | 16 (1) | 15/15 |
| CMAES posik | 7.5 (2) | 13 (2) | 20 (2) | 26 (2) | 33 (2) | 45 (3) | 58 (4) | 15/15 |
| CMA brockhoff | 7.3 (1) | 13 (1) | 19 (1) | 25 (2) | 32 (2) | 43 (2) | 56 (2) | 15/15 |
| CMAa brockhoff | 7.8 (1) | 14 (2) | 20 (2) | 26 (2) | 32 (2) | 45 (3) | 58 (3) | 15/15 |
| CMAm brockhoff | 6.1 (1) | 10 (1) | 14 (2) | 19 (0.6) | 23 (1) | 32 (1) | 41 (2) | 15/15 |
| CMAma brockhoff | 5.8 (0.8) | 10 (1.0) | 14 (1) | 19 (1) | 23 (1) | 32 (1) | 41 (2) | 15/15 |
| CMAmah brockhoff | 3.8 (0.8) | 6.6 (0.9) | 10 (1) | 13 (1) | 15 (1) | 21 (1) | 27 (1) | 15/15 |
| CMAmh brockhoff | 3.8 (0.6) | 6.7 (0.7) | 10 (1) | 13 (1) | 15 (1) | 22 (2) | 28 (2) | 15/15 |
| DBRCGA chuang | 142 (31) | 304 (46) | 485 (63) | 634 (103) | 799 (93) | 1119 (109) | 1449 (135) | 15/15 |
| DE-AUTO voglis | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 15/15 |
| DE-BFGS voglis | 2.0 (0.2) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 15/15 |
| DE-ROLL voglis | 6.4 (7) | 36 (35) | 37 (36) | 38 (35) | 38 (36) | 38 (36) | 38 (36) | 15/15 |
| DE-SIMPLEX voglis | 71 (41) | 181 (83) | 237 (92) | 312 (118) | 389 (99) | 461 (117) | 840 (800) | 15/15 |
| DEAE posik | 75 (22) | 144 (28) | 214 (24) | 278 (29) | 352 (32) | 492 (42) | 635 (42) | 15/15 |
| DE posik | 89 (17) | 162 (31) | 241 (28) | 321 (27) | 400 (27) | 558 (30) | 717 (39) | 15/15 |
| DEb posik | 89 (17) | 162 (31) | 241 (28) | 321 (27) | 400 (27) | 558 (30) | 717 (39) | 15/15 |
| DEctpb posik | 91 (14) | 181 (15) | 269 (21) | 354 (19) | 440 (21) | 615 (20) | 803 (34) | 15/15 |
| IPOPsaACM loshchilov | 3.9 (0.2) | 5.0 (0.4) | 6.5 (0.5) | 7.8 (0.5) | 9.5 (0.7) | 13 (0.7) | 16 (0.8) | 15/15 |
| JADE posik | 47 (7) | 94 (8) | 143 (8) | 191 (7) | 240 (8) | 340 (10) | 437 (13) | 15/15 |
| JADEb posik | 35 (3) | 67 (4) | 102 (5) | 141 (9) | 179 (13) | 260 (14) | 346 (17) | 15/15 |
| JADEctpb posik | 47 (7) | 94 (8) | 143 (8) | 191 (7) | 240 (8) | 340 (10) | 437 (13) | 15/15 |
| MVDE melo | 144 (16) | 299 (10) | 445 (13) | 601 (15) | 743 (10) | 1048 (21) | 1355 (25) | 15/15 |
| NBIPOPaCMA loshchilov | 7.9 (1) | 14 (1) | 20 (1) | 27 (2) | 33 (2) | 46 (2) | 59 (3) | 15/15 |
| NIPOPaCMA loshchilov | 7.7 (2) | 14 (1) | 20 (2) | 26 (2) | 33 (2) | 45 (2) | 58 (3) | 15/15 |
| PSO-BFGS voglis | 1.9 (0.2) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 2.2 (0) | 15/15 |
| SNES schaul | 5.4 (0.8) | 14 (1) | 25 (3) | 36 (3) | 45 (2) | 66 (2) | 86 (2) | 15/15 |
| xNES schaul | 5.8 (3) | 70 (5) | 137 (6) | 203 (8) | 274 (5) | 410 (7) | 546 (9) | 15/15 |
| xNESas schaul | 7.3 (2) | 41 (9) | 61 (16) | 74 (19) | 88 (23) | 110 (25) | 128 (32) | 15/15 |
| Δ fopt f2, 20-D |
1e1 385 |
1e0 386 |
1e-1 387 |
1e-2 388 |
1e-3 390 |
1e-5 391 |
1e-7 393 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 10 (0.9) | 12 (0.7) | 14 (0.5) | 15 (0.7) | 17 (1) | 21 (0.9) | 25 (0.9) | 15/15 |
| BIPOPaCMA loshchilov | 23 (4) | 27 (3) | 29 (3) | 30 (2) | 31 (2) | 33 (1) | 34 (1) | 15/15 |
| BIPOPsaACM loshchilov | 6.8 (1) | 8.0 (1) | 8.9 (1) | 9.2 (1) | 10 (1) | 10 (1) | 10 (1) | 15/15 |
| CMAES posik | 36 (4) | 43 (3) | 45 (2) | 47 (2) | 47 (1) | 48 (1) | 50 (1) | 15/15 |
| CMA brockhoff | 34 (5) | 40 (6) | 43 (3) | 44 (3) | 45 (3) | 47 (1) | 48 (1) | 15/15 |
| CMAa brockhoff | 23 (3) | 27 (3) | 29 (3) | 30 (2) | 31 (2) | 33 (2) | 34 (2) | 15/15 |
| CMAm brockhoff | 34 (6) | 39 (6) | 42 (5) | 45 (3) | 45 (2) | 47 (2) | 48 (2) | 15/15 |
| CMAma brockhoff | 22 (4) | 25 (3) | 27 (2) | 29 (2) | 29 (2) | 31 (1) | 32 (1) | 15/15 |
| CMAmah brockhoff | 23 (5) | 26 (4) | 28 (2) | 29 (2) | 30 (1) | 31 (1) | 32 (1) | 15/15 |
| CMAmh brockhoff | 32 (5) | 36 (4) | 38 (2) | 39 (2) | 40 (2) | 41 (2) | 41 (2) | 15/15 |
| DBRCGA chuang | 75 (6) | 93 (7) | 113 (8) | 130 (8) | 147 (10) | 183 (9) | 220 (9) | 15/15 |
| DE-AUTO voglis | 3.5 (2) | 3.9 (2) | 4.3 (2) | 4.4 (2) | 4.7 (2) | 5.1 (2) | 5.7 (3) | 15/15 |
| DE-BFGS voglis | 5.7 (4) | 6.1 (4) | 6.2 (4) | 6.4 (4) | 6.5 (4) | 7.1 (5) | 10 (5) | 15/15 |
| DE-ROLL voglis | 15 (12) | 16 (12) | 16 (12) | 16 (12) | 16 (12) | 17 (12) | 17 (12) | 15/15 |
| DE-SIMPLEX voglis | 90 (20) | 104 (16) | 120 (23) | 126 (24) | 135 (24) | 149 (23) | 287 (246) | 15/15 |
| DEAE posik | 52 (6) | 61 (6) | 69 (7) | 77 (6) | 84 (7) | 101 (6) | 116 (7) | 15/15 |
| DE posik | 41 (3) | 50 (3) | 59 (3) | 67 (4) | 76 (5) | 93 (5) | 110 (5) | 15/15 |
| DEb posik | 41 (3) | 50 (3) | 59 (3) | 67 (4) | 76 (5) | 93 (5) | 110 (5) | 15/15 |
| DEctpb posik | 47 (2) | 56 (3) | 66 (3) | 76 (3) | 85 (4) | 105 (4) | 125 (5) | 15/15 |
| IPOPsaACM loshchilov | 7.3 (1) | 8.3 (2) | 8.9 (2) | 9.2 (2) | 9.5 (2) | 10 (1) | 10 (1) | 15/15 |
| JADE posik | 28 (1) | 34 (1) | 39 (2) | 44 (2) | 50 (2) | 61 (3) | 71 (4) | 15/15 |
| JADEb posik | 20 (2) | 25 (2) | 29 (2) | 34 (2) | 39 (2) | 48 (3) | 57 (4) | 15/15 |
| JADEctpb posik | 28 (1) | 34 (1) | 39 (2) | 44 (2) | 50 (2) | 61 (3) | 71 (4) | 15/15 |
| MVDE melo | 76 (2) | 92 (2) | 108 (3) | 125 (3) | 141 (2) | 174 (3) | 206 (4) | 15/15 |
| NBIPOPaCMA loshchilov | 23 (4) | 27 (3) | 29 (2) | 31 (1) | 32 (2) | 33 (2) | 34 (2) | 15/15 |
| NIPOPaCMA loshchilov | 23 (3) | 26 (3) | 29 (2) | 30 (1) | 31 (2) | 33 (2) | 34 (2) | 15/15 |
| PSO-BFGS voglis | 5.2 (3) | 5.4 (3) | 5.6 (3) | 6.3 (5) | 6.7 (5) | 7.6 (5) | 12 (12) | 15/15 |
| SNES schaul | 4.8 (0.3) | 5.9 (0.2) | 7.0 (0.3) | 8.1 (0.2) | 9.2 (0.3) | 11 (0.3) | 14 (0.4) | 15/15 |
| xNES schaul | 29 (0.7) | 36 (0.7) | 43 (0.9) | 51 (1) | 58 (1) | 72 (0.8) | 87 (1) | 15/15 |
| xNESas schaul | 26 (1) | 31 (2) | 34 (3) | 36 (3) | 38 (4) | 41 (6) | 43 (6) | 15/15 |
| Δ fopt f3, 20-D |
1e1 5066 |
1e0 7626 |
1e-1 7635 |
1e-2 7637 |
1e-3 7643 |
1e-5 7646 |
1e-7 7651 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1018 (1271) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 9.0 (5) | 1.7e4 (1e4) | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| BIPOPsaACM loshchilov | 10 (7) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/5 |
| CMAES posik | 638 (562) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 13 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAa brockhoff | 8.7 (7) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAm brockhoff | 8.5 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAma brockhoff | 7.1 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAmah brockhoff | 13 (7) | 4956 (3878) | 4950 (6742) | 4949 (4601) | 4945 (6472) | 4943 (6323) | 4940 (4882) | 1/15 |
| CMAmh brockhoff | 13 (16) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| DBRCGA chuang | 144 (64) | 450 (268) | 1181 (795) | 1181 (1449) | 1180 (859) | 1181 (1619) | 1182 (1325) | 3/15 |
| DE-AUTO voglis | 47 (49) | 224 (177) | 401 (351) | 401 (457) | 401 (282) | 401 (414) | 401 (285) | 8/15 |
| DE-BFGS voglis | 56 (24) | 132 (68) | 181 (141) | 181 (149) | 181 (168) | 181 (145) | 191 (128) | 13/15 |
| DE-ROLL voglis | 15 (11) | 55 (30) | 82 (65) | 82 (65) | 82 (65) | 82 (65) | 82 (65) | 15/15 |
| DE-SIMPLEX voglis | 119 (44) | 212 (130) | 355 (167) | 355 (345) | 355 (368) | 355 (355) | 484 (543) | 4/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | 39 (10) | 67 (49) | 167 (163) | 167 (114) | 168 (150) | 168 (123) | 169 (207) | 9/15 |
| DEb posik | 39 (10) | 67 (49) | 167 (150) | 167 (169) | 168 (130) | 168 (140) | 169 (223) | 9/15 |
| DEctpb posik | 114 (10) | 94 (8) | 95 (7) | 96 (7) | 96 (7) | 97 (7) | 98 (7) | 15/15 |
| IPOPsaACM loshchilov | 11 (15) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/5 |
| JADE posik | 6.4 (0.3) | 6.0 (0.2) | 6.8 (0.2) | 7.6 (0.2) | 8.3 (0.2) | 10 (0.2) | 11 (0.2) | 15/15 |
| JADEb posik | 6.3 (0.3) | 13 (13) | 17 (20) | 17 (20) | 18 (20) | 19 (20) | 20 (20) | 15/15 |
| JADEctpb posik | 6.4 (0.3) | 6.0 (0.2) | 6.8 (0.2) | 7.6 (0.2) | 8.3 (0.2) | 10 (0.2) | 11 (0.2) | 15/15 |
| MVDE melo | 28 (2) | 23 (3) | 33 (3) | 34 (3) | 35 (3) | 36 (3) | 38 (3) | 14/15 |
| NBIPOPaCMA loshchilov | 12 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| NIPOPaCMA loshchilov | 9.4 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 550 (526) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNES schaul | 629 (911) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNESas schaul | 1055 (1447) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| Δ fopt f4, 20-D |
1e1 4722 |
1e0 7628 |
1e-1 7666 |
1e-2 7686 |
1e-3 7700 |
1e-5 7758 |
1e-7 1.4e5 |
#succ 9/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.5e4 (2e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.0e4 (2e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| BIPOPsaACM loshchilov | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/5 |
| CMAES posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAa brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAm brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAma brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAmah brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAmh brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DBRCGA chuang | 236 (100) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 67 (50) | 1265 (1437) | 3887 (3396) | 3877 (2996) | 3870 (4030) | 3841 (4710) | 211 (259) | 1/15 |
| DE-BFGS voglis | 143 (83) | 589 (845) | 3893 (3984) | 3883 (4299) | 3876 (5071) | 3848 (3614) | 212 (355) | 1/15 |
| DE-ROLL voglis | 26 (19) | 165 (86) | 407 (358) | 406 (357) | 406 (289) | 403 (420) | 22 (19) | 8/15 |
| DE-SIMPLEX voglis | 172 (76) | 388 (268) | 3910 (4505) | 3900 (3712) | 3893 (3055) | 3867 (4774) | ∞2e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | 30 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 30 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 144 (19) | 119 (14) | 311 (228) | 311 (327) | 311 (229) | 310 (292) | 17 (21) | 6/15 |
| IPOPsaACM loshchilov | 1.9e4 (2e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/5 |
| JADE posik | 8.0 (0.4) | 7.0 (0.3) | 8.0 (0.2) | 8.8 (0.2) | 10 (0.2) | 11 (0.3) | 0.71 (0.0)↑0 | 15/15 |
| JADEb posik | 17 (11) | 102 (122) | 265 (198) | 265 (305) | 265 (297) | 264 (295) | 15 (16) | 6/15 |
| JADEctpb posik | 8.0 (0.4) | 7.0 (0.3) | 8.0 (0.2) | 8.8 (0.2) | 10 (0.2) | 11 (0.3) | 0.71 (0.0)↑0 | 15/15 |
| MVDE melo | 28 (4) | 71 (68) | 869 (945) | 867 (1073) | 867 (1071) | 862 (999) | 48 (53) | 2/15 |
| NBIPOPaCMA loshchilov | 6.1e4 (6e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| NIPOPaCMA loshchilov | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 4049 (5965) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNES schaul | 6323 (8253) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNESas schaul | 4192 (4564) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| Δ fopt f5, 20-D |
1e1 41 |
1e0 41 |
1e-1 41 |
1e-2 41 |
1e-3 41 |
1e-5 41 |
1e-7 41 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 10 (3) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 12 (4) | 15/15 |
| BIPOPaCMA loshchilov | 5.5 (0.9) | 6.5 (0.8) | 6.6 (0.9) | 6.7 (0.9) | 6.7 (0.9) | 6.7 (0.9) | 6.7 (0.9) | 15/15 |
| BIPOPsaACM loshchilov | 4.6 (0.6) | 5.3 (0.7) | 5.4 (0.7) | 5.4 (0.7) | 5.4 (0.7) | 5.4 (0.7) | 5.4 (0.7) | 15/15 |
| CMAES posik | 5.1 (1.0) | 6.1 (0.9) | 6.1 (0.9) | 6.1 (0.9) | 6.1 (0.9) | 6.1 (0.9) | 6.1 (0.9) | 15/15 |
| CMA brockhoff | 4.9 (1) | 5.6 (0.9) | 5.8 (1) | 5.8 (1) | 5.8 (1) | 5.8 (1) | 5.8 (1) | 15/15 |
| CMAa brockhoff | 5.4 (1) | 6.4 (2) | 6.6 (2) | 6.6 (2) | 6.6 (2) | 6.6 (2) | 6.6 (2) | 15/15 |
| CMAm brockhoff | 4.4 (1) | 5.3 (1) | 5.4 (1) | 5.5 (1) | 5.5 (1) | 5.5 (1) | 5.5 (1) | 15/15 |
| CMAma brockhoff | 4.6 (1) | 5.2 (2) | 5.3 (1) | 5.3 (1) | 5.3 (1) | 5.3 (1) | 5.3 (1) | 15/15 |
| CMAmah brockhoff | 3.0 (0.6) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 4.0 (1) | 15/15 |
| CMAmh brockhoff | 3.2 (1) | 3.7 (1) | 3.7 (1) | 3.7 (1) | 3.7 (1) | 3.7 (1) | 3.7 (1) | 15/15 |
| DBRCGA chuang | 150 (38) | 211 (83) | 226 (105) | 230 (110) | 231 (111) | 231 (111) | 231 (111) | 15/15 |
| DE-AUTO voglis | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 3.1 (0.1) | 15/15 |
| DE-BFGS voglis | 14 (7) | 22 (14) | 23 (16) | 24 (16) | 24 (16) | 25 (19) | 26 (19) | 15/15 |
| DE-ROLL voglis | 3.7 (0.6) | 3.9 (0.9) | 3.9 (0.9) | 3.9 (0.9) | 3.9 (0.9) | 3.9 (0.9) | 3.9 (0.9) | 15/15 |
| DE-SIMPLEX voglis | 572 (125) | 860 (179) | 1423 (331) | 1832 (407) | 2124 (449) | 2727 (758) | 2.9e4 (3e4) | 8/15 |
| DEAE posik | 28 (7) | 32 (6) | 33 (7) | 33 (7) | 33 (7) | 33 (7) | 33 (7) | 15/15 |
| DE posik | 27 (6) | 35 (4) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 15/15 |
| DEb posik | 27 (6) | 35 (4) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 36 (6) | 15/15 |
| DEctpb posik | 37 (7) | 43 (4) | 46 (9) | 46 (10) | 46 (10) | 46 (10) | 46 (10) | 15/15 |
| IPOPsaACM loshchilov | 4.5 (0.7) | 5.0 (0.7) | 5.2 (0.7) | 5.2 (0.7) | 5.2 (0.7) | 5.2 (0.7) | 5.2 (0.7) | 15/15 |
| JADE posik | 43 (9) | 52 (7) | 53 (8) | 53 (8) | 53 (8) | 53 (8) | 53 (8) | 15/15 |
| JADEb posik | 27 (8) | 35 (7) | 36 (8) | 36 (8) | 36 (8) | 36 (8) | 36 (8) | 15/15 |
| JADEctpb posik | 43 (9) | 52 (7) | 53 (8) | 53 (8) | 53 (8) | 53 (8) | 53 (8) | 15/15 |
| MVDE melo | 210 (18) | 304 (31) | 375 (42) | 422 (57) | 445 (85) | 457 (95) | 458 (95) | 15/15 |
| NBIPOPaCMA loshchilov | 5.1 (1) | 6.0 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 6.2 (1) | 15/15 |
| NIPOPaCMA loshchilov | 5.5 (1) | 6.3 (1) | 6.5 (1) | 6.5 (1) | 6.5 (1) | 6.5 (1) | 6.5 (1) | 15/15 |
| PSO-BFGS voglis | 22 (16) | 30 (32) | 31 (32) | 31 (32) | 32 (35) | 32 (35) | 32 (35) | 15/15 |
| SNES schaul | 9.3 (2) | 12 (2) | 12 (3) | 12 (3) | 12 (3) | 12 (3) | 12 (3) | 15/15 |
| xNES schaul | 10 (1) | 11 (1) | 12 (1) | 12 (1) | 12 (1) | 12 (1) | 12 (1) | 15/15 |
| xNESas schaul | 8.5 (1) | 10 (1) | 11 (2) | 11 (2) | 11 (2) | 11 (2) | 11 (2) | 15/15 |
| Δ fopt f6, 20-D |
1e1 1296 |
1e0 2343 |
1e-1 3413 |
1e-2 4255 |
1e-3 5220 |
1e-5 6728 |
1e-7 8409 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 6.5 (2) | 5.3 (1) | 4.8 (0.9) | 4.8 (0.7) | 4.7 (0.6) | 4.8 (0.6) | 4.9 (0.6) | 15/15 |
| BIPOPaCMA loshchilov | 1.5 (0.2) | 1.2 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 15/15 |
| BIPOPsaACM loshchilov | 1.4 (0.3) | 1.2 (0.2) | 1.1 (0.2) | 1.1 (0.1) | 1.1 (0.2) | 1.3 (0.3) | 1.4 (0.3) | 15/15 |
| CMAES posik | 1.7 (0.5) | 1.3 (0.3) | 1.2 (0.3) | 1.2 (0.2) | 1.2 (0.1) | 1.2 (0.2) | 1.2 (0.1) | 15/15 |
| CMA brockhoff | 1.7 (0.2) | 1.3 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| CMAa brockhoff | 1.6 (0.3) | 1.3 (0.2) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 15/15 |
| CMAm brockhoff | 1.7 (0.3) | 1.3 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.2) | 1.2 (0.2) | 1.3 (0.1) | 15/15 |
| CMAma brockhoff | 1.5 (0.3) | 1.2 (0.1) | 1.0 (0.1) | 1.0 (0.1) | 1.0 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 15/15 |
| CMAmah brockhoff | 1.2 (0.3) | 1.1 (0.2) | 1.0 (0.2) | 1.1 (0.3) | 1.1 (0.3) | 1.2 (0.3) | 1.3 (0.3) | 15/15 |
| CMAmh brockhoff | 1.2 (0.4) | 1.1 (0.3) | 1.1 (0.3) | 1.2 (0.4) | 1.3 (0.4) | 1.8 (0.5) | 2.3 (1) | 15/15 |
| DBRCGA chuang | 26 (11) | 55 (8) | 46 (9) | 45 (8) | 43 (8) | 43 (10) | 43 (11) | 15/15 |
| DE-AUTO voglis | 1.9 (0.7) | 2.2 (2) | 4.3 (3) | 8.0 (6) | 12 (3) | 16 (3) | 71 (126) | 10/15 |
| DE-BFGS voglis | 6.8 (5) | 8.5 (6) | 17 (16) | 25 (25) | 32 (36) | 96 (162) | 295 (443) | 2/15 |
| DE-ROLL voglis | 21 (7) | 23 (35) | 23 (24) | 34 (24) | 69 (35) | 209 (194) | 1025 (680) | 1/15 |
| DE-SIMPLEX voglis | 34 (13) | 34 (10) | 42 (23) | 58 (47) | 102 (61) | 329 (185) | ∞2e6 | 0/15 |
| DEAE posik | 21 (5) | 18 (3) | 16 (2) | 17 (2) | 16 (2) | 17 (1) | 17 (1) | 15/15 |
| DE posik | 53 (9) | 46 (7) | 46 (8) | 49 (10) | 51 (9) | 57 (11) | 61 (12) | 15/15 |
| DEb posik | 53 (9) | 46 (7) | 46 (8) | 49 (10) | 51 (9) | 57 (11) | 61 (12) | 15/15 |
| DEctpb posik | 29 (3) | 23 (2) | 21 (2) | 21 (1) | 21 (1) | 21 (1) | 21 (1) | 15/15 |
| IPOPsaACM loshchilov | 1.5 (0.4) | 1.2 (0.3) | 1.1 (0.2) | 1.1 (0.2) | 1.1 (0.2) | 1.2 (0.2) | 1.3 (0.3) | 15/15 |
| JADE posik | 9.4 (0.7) | 7.8 (0.8) | 7.3 (0.7) | 7.4 (0.8) | 7.2 (0.9) | 7.4 (0.9) | 7.4 (0.9) | 15/15 |
| JADEb posik | 25 (13) | 72 (53) | 361 (420) | 3465 (4172) | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 9.4 (0.7) | 7.8 (0.8) | 7.3 (0.7) | 7.4 (0.8) | 7.2 (0.9) | 7.4 (0.9) | 7.4 (0.9) | 15/15 |
| MVDE melo | 37 (7) | 35 (8) | 35 (7) | 36 (7) | 37 (7) | 40 (9) | 43 (10) | 15/15 |
| NBIPOPaCMA loshchilov | 1.5 (0.3) | 1.2 (0.2) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 15/15 |
| NIPOPaCMA loshchilov | 1.5 (0.2) | 1.2 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 15/15 |
| PSO-BFGS voglis | 9.4 (8) | 20 (18) | 40 (52) | 117 (183) | 148 (193) | 198 (161) | 352 (458) | 0/15 |
| SNES schaul | 1.3 (0.2) | 1.2 (0.2) | 1.2 (0.2) | 1.4 (0.6) | 35 (57) | 137 (396) | 445 (500) | 11/15 |
| xNES schaul | 4.9 (0.3) | 4.8 (0.2) | 4.7 (0.2) | 4.9 (0.2) | 5.0 (0.1) | 5.3 (0.1) | 5.4 (0.1) | 15/15 |
| xNESas schaul | 4.7 (0.2) | 4.6 (0.2) | 4.5 (0.1) | 4.8 (0.1) | 4.8 (0.1) | 5.2 (0.1) | 5.3 (0.1) | 15/15 |
| Δ fopt f7, 20-D |
1e1 1351 |
1e0 4274 |
1e-1 9503 |
1e-2 16523 |
1e-3 16524 |
1e-5 16524 |
1e-7 16969 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 76 (36) | 3.5e4 (4e4) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.3 (1) | 2.9 (2) | 2.3 (1) | 1.5 (0.6) | 1.5 (0.6) | 1.5 (0.6) | 1.4 (0.6) | 15/15 |
| BIPOPsaACM loshchilov | 1.0 (0.9) | 1.6 (0.6) | 0.84 (0.3)↑1 | 0.61 (0.1)↑1 | 0.61 (0.1)↑1 | 0.61 (0.1)↑1 | 0.60 (0.1)↑1 | 15/15 |
| CMAES posik | 1.5 (1) | 191 (242) | 754 (816) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 1.7 (1) | 3.9 (1) | 2.7 (2) | 1.7 (1.0) | 1.7 (1.0) | 1.7 (1.0) | 1.6 (0.9) | 15/15 |
| CMAa brockhoff | 1.0 (1.0) | 2.3 (1.0) | 1.7 (0.7) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 1.0 (0.4) | 15/15 |
| CMAm brockhoff | 1.7 (1) | 4.2 (2) | 2.7 (1.0) | 1.7 (0.6) | 1.7 (0.6) | 1.7 (0.6) | 1.6 (0.6) | 15/15 |
| CMAma brockhoff | 1.6 (1) | 2.7 (1) | 1.8 (0.7) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 15/15 |
| CMAmah brockhoff | 1.7 (1) | 2.4 (0.7) | 1.5 (0.6) | 0.95 (0.3) | 0.95 (0.3) | 0.95 (0.3) | 0.93 (0.3) | 15/15 |
| CMAmh brockhoff | 2.9 (1) | 4.4 (1) | 2.6 (1) | 1.6 (0.6) | 1.6 (0.6) | 1.6 (0.6) | 1.6 (0.6) | 15/15 |
| DBRCGA chuang | 80 (75) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 28 (11) | 577 (599) | 522 (524) | 439 (576) | 439 (262) | 439 (427) | 427 (296) | 4/15 |
| DE-BFGS voglis | 502 (768) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 26 (34) | 259 (233) | 548 (790) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 125 (107) | 1277 (1218) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 4.7 (0.4) | 3.5 (0.5) | 2.2 (0.3) | 1.9 (0.3) | 1.9 (0.3) | 1.9 (0.3) | 1.9 (0.2) | 15/15 |
| DE posik | 24 (6) | 94 (120) | 235 (301) | 256 (273) | 256 (334) | 256 (426) | 249 (266) | 3/15 |
| DEb posik | 24 (6) | 94 (178) | 235 (302) | 256 (408) | 256 (273) | 256 (363) | 249 (324) | 3/15 |
| DEctpb posik | 29 (5) | 32 (10) | 28 (5) | 20 (4) | 20 (4) | 20 (4) | 20 (6) | 14/15 |
| IPOPsaACM loshchilov | 1.0 (1) | 1.6 (0.6) | 0.92 (0.6) | 0.66 (0.3) | 0.66 (0.3) | 0.66 (0.3) | 0.65 (0.3)↑1 | 15/15 |
| JADE posik | 4.8 (0.9) | 272 (644) | 686 (1236) | 402 (391) | 402 (497) | 402 (424) | 391 (455) | 2/15 |
| JADEb posik | 119 (370) | 3279 (5615) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 4.8 (0.9) | 272 (351) | 686 (947) | 402 (573) | 402 (510) | 402 (346) | 391 (499) | 2/15 |
| MVDE melo | 25 (5) | 106 (123) | 470 (578) | 882 (832) | 882 (1150) | 882 (938) | 860 (1311) | 1/15 |
| NBIPOPaCMA loshchilov | 1.1 (1) | 3.9 (0.8) | 2.6 (1) | 1.6 (0.6) | 1.6 (0.6) | 1.6 (0.6) | 1.6 (0.6) | 15/15 |
| NIPOPaCMA loshchilov | 0.99 (0.4) | 2.8 (2) | 1.7 (0.9) | 1.2 (0.3) | 1.2 (0.3) | 1.2 (0.3) | 1.2 (0.3) | 15/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 32 (59) | 2715 (2197) | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNES schaul | 1.8 (0.4) | 1.6 (0.1) | 1.1 (0.0) | 0.93 (0.1) | 0.94 (0.1) | 0.94 (0.1) | 0.96 (0.1) | 15/15 |
| xNESas schaul | 1.9 (0.2) | 1.5 (0.1) | 1.0 (0.1) | 0.88 (0.1)↑0 | 0.89 (0.1)↑0 | 0.89 (0.1)↑0 | 0.91 (0.1)↑1 | 15/15 |
| Δ fopt f8, 20-D |
1e1 2039 |
1e0 3871 |
1e-1 4040 |
1e-2 4148 |
1e-3 4219 |
1e-5 4371 |
1e-7 4484 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 24 (8) | 66 (114) | 72 (101) | 80 (93) | 89 (86) | 107 (84) | 125 (83) | 15/15 |
| BIPOPaCMA loshchilov | 3.3 (0.9) | 4.0 (3) | 4.3 (3) | 4.4 (3) | 4.4 (3) | 4.4 (3) | 4.5 (3) | 15/15 |
| BIPOPsaACM loshchilov | 1.3 (0.2) | 1.5 (0.9) | 1.5 (0.9) | 1.6 (0.8) | 1.6 (0.8) | 1.6 (0.8) | 1.6 (0.8) | 15/15 |
| CMAES posik | 3.9 (0.8) | 4.3 (0.7) | 4.7 (0.7) | 4.8 (0.7) | 4.8 (0.7) | 4.9 (0.7) | 4.9 (0.7) | 15/15 |
| CMA brockhoff | 3.7 (0.6) | 4.4 (0.3) | 4.7 (0.3) | 4.8 (0.3) | 4.9 (0.3) | 4.9 (0.3) | 5.0 (0.3) | 15/15 |
| CMAa brockhoff | 3.6 (0.7) | 3.5 (0.6) | 3.8 (0.6) | 3.9 (0.6) | 4.0 (0.6) | 4.0 (0.6) | 4.0 (0.6) | 15/15 |
| CMAm brockhoff | 3.9 (0.7) | 5.0 (4) | 5.3 (4) | 5.4 (3) | 5.4 (3) | 5.4 (3) | 5.4 (3) | 15/15 |
| CMAma brockhoff | 3.1 (0.6) | 4.2 (3) | 4.4 (3) | 4.4 (3) | 4.5 (3) | 4.5 (2) | 4.5 (2) | 15/15 |
| CMAmah brockhoff | 2.6 (0.5) | 3.4 (2) | 3.6 (2) | 3.6 (2) | 3.7 (2) | 3.6 (2) | 3.6 (2) | 15/15 |
| CMAmh brockhoff | 3.2 (1) | 4.5 (3) | 4.7 (3) | 4.8 (3) | 4.8 (3) | 4.8 (3) | 4.8 (3) | 15/15 |
| DBRCGA chuang | 50 (40) | 150 (404) | 159 (262) | 171 (270) | 184 (241) | 213 (230) | 257 (258) | 12/15 |
| DE-AUTO voglis | 1.5 (0.4) | 4.2 (3) | 5.2 (5) | 6.2 (5) | 8.2 (5) | 9.3 (4) | 12 (5) | 15/15 |
| DE-BFGS voglis | 1.5 (1) | 2.8 (4) | 2.8 (4) | 2.9 (3) | 3.2 (3) | 3.2 (3) | 3.2 (3) | 15/15 |
| DE-ROLL voglis | 6.4 (8) | 15 (16) | 20 (19) | 25 (21) | 28 (21) | 33 (20) | 129 (117) | 13/15 |
| DE-SIMPLEX voglis | 12 (8) | 13 (8) | 15 (8) | 17 (9) | 19 (8) | 24 (10) | 81 (56) | 14/15 |
| DEAE posik | 19 (3) | 21 (15) | 22 (14) | 22 (14) | 23 (14) | 23 (14) | 24 (13) | 15/15 |
| DE posik | 53 (4) | 95 (6) | 106 (9) | 114 (9) | 120 (11) | 130 (11) | 138 (12) | 14/15 |
| DEb posik | 53 (4) | 95 (6) | 106 (9) | 114 (9) | 120 (11) | 130 (11) | 138 (12) | 14/15 |
| DEctpb posik | 52 (3) | 66 (2) | 76 (2) | 82 (4) | 89 (4) | 100 (4) | 111 (4) | 15/15 |
| IPOPsaACM loshchilov | 1.4 (0.2) | 1.3 (0.1) | 1.4 (0.1) | 1.4 (0.1) | 1.4 (0.1) | 1.4 (0.1) | 1.4 (0.1) | 15/15 |
| JADE posik | 18 (1) | 16 (0.6) | 16 (0.6) | 17 (0.5) | 17 (0.6) | 17 (0.7) | 18 (0.7) | 15/15 |
| JADEb posik | 12 (4) | 14 (12) | 14 (11) | 15 (11) | 15 (11) | 16 (10) | 17 (10) | 15/15 |
| JADEctpb posik | 18 (1) | 16 (0.6) | 16 (0.6) | 17 (0.5) | 17 (0.6) | 17 (0.7) | 18 (0.7) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.2 (0.7) | 3.4 (1) | 3.6 (1) | 3.7 (1) | 3.8 (1) | 3.8 (1.0) | 3.8 (1.0) | 15/15 |
| NIPOPaCMA loshchilov | 3.3 (0.4) | 3.9 (2) | 4.1 (2) | 4.2 (2) | 4.2 (2) | 4.3 (2) | 4.3 (2) | 15/15 |
| PSO-BFGS voglis | 1.6 (1) | 4.1 (4) | 4.7 (5) | 5.4 (4) | 6.0 (4) | 6.3 (4) | 9.0 (12) | 15/15 |
| SNES schaul | 37 (10) | 145 (138) | 299 (251) | 483 (352) | 1107 (1124) | 1.3e4 (1e4) | 2.6e4 (2e4) | 0/15 |
| xNES schaul | 7.5 (0.8) | 6.9 (1) | 7.5 (1) | 7.6 (1) | 7.7 (1) | 8.4 (1.0) | 9.5 (0.9) | 15/15 |
| xNESas schaul | 7.2 (0.6) | 7.9 (2) | 9.1 (3) | 9.3 (4) | 9.4 (4) | 10 (4) | 10 (4) | 15/15 |
| Δ fopt f9, 20-D |
1e1 1716 |
1e0 3102 |
1e-1 3277 |
1e-2 3379 |
1e-3 3455 |
1e-5 3594 |
1e-7 3727 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 45 (7) | 78 (8) | 119 (11) | 195 (20) | 286 (31) | 473 (52) | 651 (74) | 15/15 |
| BIPOPaCMA loshchilov | 3.8 (1.0) | 4.4 (0.6) | 4.7 (0.6) | 4.8 (0.6) | 4.8 (0.5) | 4.8 (0.5) | 4.8 (0.5) | 15/15 |
| BIPOPsaACM loshchilov | 1.5 (0.3) | 1.7 (0.2) | 1.7 (0.2) | 1.8 (0.2) | 1.8 (0.2) | 1.8 (0.2) | 1.7 (0.2) | 15/15 |
| CMAES posik | 4.5 (1) | 5.0 (0.7) | 5.4 (0.6) | 5.5 (0.6) | 5.5 (0.6) | 5.5 (0.6) | 5.5 (0.6) | 15/15 |
| CMA brockhoff | 4.7 (0.9) | 5.1 (0.6) | 5.4 (0.6) | 5.5 (0.6) | 5.6 (0.5) | 5.6 (0.5) | 5.6 (0.5) | 15/15 |
| CMAa brockhoff | 3.9 (0.7) | 4.1 (0.4) | 4.4 (0.4) | 4.5 (0.4) | 4.5 (0.4) | 4.5 (0.4) | 4.5 (0.4) | 15/15 |
| CMAm brockhoff | 4.1 (1) | 5.4 (0.7) | 5.7 (0.6) | 5.8 (0.6) | 5.8 (0.6) | 5.8 (0.6) | 5.8 (0.6) | 15/15 |
| CMAma brockhoff | 3.4 (0.9) | 4.1 (0.6) | 4.3 (0.5) | 4.4 (0.5) | 4.4 (0.5) | 4.4 (0.4) | 4.4 (0.4) | 15/15 |
| CMAmah brockhoff | 2.9 (0.9) | 4.8 (3) | 4.9 (3) | 5.0 (3) | 5.0 (3) | 4.9 (3) | 4.9 (2) | 15/15 |
| CMAmh brockhoff | 3.1 (2) | 4.2 (0.9) | 4.5 (0.9) | 4.6 (0.9) | 4.6 (0.9) | 4.6 (0.8) | 4.6 (0.8) | 15/15 |
| DBRCGA chuang | 353 (124) | 1855 (1899) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 2.0 (0.9) | 6.9 (5) | 8.8 (6) | 10 (6) | 11 (5) | 11 (4) | 20 (30) | 15/15 |
| DE-BFGS voglis | 1.8 (1) | 2.6 (2) | 2.8 (1) | 2.7 (1) | 2.7 (1) | 2.7 (1) | 2.7 (1) | 15/15 |
| DE-ROLL voglis | 25 (16) | 44 (18) | 54 (26) | 59 (24) | 63 (23) | 83 (44) | 1299 (1274) | 1/15 |
| DE-SIMPLEX voglis | 24 (8) | 149 (212) | 144 (198) | 143 (193) | 140 (188) | 142 (179) | 207 (283) | 13/15 |
| DEAE posik | 21 (3) | 25 (17) | 26 (16) | 27 (15) | 27 (15) | 28 (15) | 29 (14) | 15/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 417 (89) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 1.6 (0.4) | 1.8 (1) | 1.9 (1) | 1.9 (1) | 1.9 (1) | 1.9 (1.0) | 1.9 (1.0) | 15/15 |
| JADE posik | 36 (3) | 30 (3) | 32 (3) | 32 (2) | 33 (2) | 33 (2) | 33 (2) | 15/15 |
| JADEb posik | 24 (6) | 32 (24) | 33 (23) | 34 (23) | 35 (22) | 35 (21) | 36 (20) | 15/15 |
| JADEctpb posik | 36 (3) | 30 (3) | 32 (3) | 32 (2) | 33 (2) | 33 (2) | 33 (2) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.8 (0.7) | 4.0 (0.3) | 4.3 (0.3) | 4.4 (0.3) | 4.5 (0.2) | 4.5 (0.2) | 4.5 (0.2) | 15/15 |
| NIPOPaCMA loshchilov | 3.9 (1) | 4.5 (0.5) | 4.8 (0.5) | 4.9 (0.5) | 4.9 (0.5) | 4.9 (0.5) | 4.9 (0.5) | 15/15 |
| PSO-BFGS voglis | 1.7 (0.7) | 4.9 (4) | 5.7 (4) | 6.8 (4) | 7.1 (5) | 6.9 (5) | 6.9 (4) | 15/15 |
| SNES schaul | 520 (442) | 1.8e4 (2e4) | 3.5e4 (3e4) | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 8.9 (1) | 8.5 (1) | 9.3 (2) | 9.4 (2) | 9.4 (2) | 10 (1) | 11 (1) | 15/15 |
| xNESas schaul | 8.1 (1) | 8.9 (2) | 10 (2) | 10 (2) | 10 (2) | 11 (2) | 11 (2) | 15/15 |
| Δ fopt f10, 20-D |
1e1 7413 |
1e0 8661 |
1e-1 10735 |
1e-2 13641 |
1e-3 14920 |
1e-5 17073 |
1e-7 17476 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2.0e4 (4e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.2 (0.2) | 1.2 (0.2) | 1.1 (0.1) | 0.88 (0.0)↑0 | 0.83 (0.0)↑0 | 0.76 (0.0)↑0 | 0.77 (0.0)↑0 | 15/15 |
| BIPOPsaACM loshchilov | 0.36 (0.1)↑0 | 0.35 (0.0)↑0 | 0.31 (0.0)↑0 | 0.26 (0.0)↑0 | 0.24 (0.0)↑0 | 0.23 (0.0)↑0 | 0.23 (0.0)↑0 | 15/15 |
| CMAES posik | 1.7 (0.1) | 1.7 (0.2) | 1.6 (0.1) | 1.3 (0.0) | 1.2 (0.0) | 1.1 (0.0) | 1.1 (0.0) | 15/15 |
| CMA brockhoff | 1.8 (0.3) | 1.8 (0.2) | 1.6 (0.1) | 1.3 (0.1) | 1.2 (0.1) | 1.1 (0.0) | 1.1 (0.0) | 15/15 |
| CMAa brockhoff | 1.2 (0.2) | 1.2 (0.2) | 1.0 (0.1) | 0.87 (0.0)↑0 | 0.82 (0.0)↑0 | 0.75 (0.0)↑0 | 0.76 (0.0)↑0 | 15/15 |
| CMAm brockhoff | 1.8 (0.2) | 1.8 (0.2) | 1.6 (0.1) | 1.3 (0.0) | 1.2 (0.0) | 1.1 (0.0) | 1.1 (0.0) | 15/15 |
| CMAma brockhoff | 1.1 (0.2) | 1.1 (0.1) | 0.98 (0.1) | 0.81 (0.0)↑0 | 0.76 (0.0)↑0 | 0.70 (0.0)↑0 | 0.71 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 1.2 (0.2) | 1.2 (0.2) | 1.0 (0.1) | 0.83 (0.1)↑0 | 0.79 (0.1)↑0 | 0.71 (0.0)↑0 | 0.71 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 1.6 (0.2) | 1.6 (0.2) | 1.4 (0.1) | 1.1 (0.0) | 1.1 (0.0) | 0.95 (0.0)↑1 | 0.94 (0.0)↑1 | 15/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 1.5 (1) | 1.5 (1) | 1.8 (2) | 1.8 (1) | 2.5 (2) | 4.6 (2) | 17 (11) | 9/15 |
| DE-BFGS voglis | 6.1 (6) | 5.3 (5) | 4.3 (4) | 3.4 (3) | 3.1 (3) | 2.7 (3) | 2.6 (3) | 15/15 |
| DE-ROLL voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 138 (105) | 817 (1097) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 2.6 (0.3) | 2.6 (0.2) | 2.3 (0.2) | 2.1 (0.2) | 2.1 (0.1) | 2.2 (0.2) | 2.5 (0.2) | 15/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 0.35 (0.1)↑0 | 0.36 (0.1)↑0 | 0.31 (0.0)↑0 | 0.26 (0.0)↑0 | 0.24 (0.0)↑0 | 0.22 (0.0)↑0 | 0.23 (0.0)↑0 | 15/15 |
| JADE posik | 12 (5) | 15 (4) | 15 (4) | 14 (3) | 15 (4) | 15 (3) | 18 (4) | 15/15 |
| JADEb posik | 39 (17) | 54 (24) | 64 (16) | 62 (15) | 116 (71) | 862 (1040) | ∞1e6 | 0/15 |
| JADEctpb posik | 12 (5) | 15 (4) | 15 (4) | 14 (3) | 15 (4) | 15 (3) | 18 (4) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.1 (0.1) | 1.1 (0.2) | 1.0 (0.1) | 0.85 (0.0)↑0 | 0.80 (0.0)↑0 | 0.73 (0.0)↑0 | 0.75 (0.0)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 1.2 (0.2) | 1.2 (0.1) | 1.0 (0.1) | 0.86 (0.0)↑0 | 0.81 (0.0)↑0 | 0.74 (0.0)↑0 | 0.76 (0.0)↑0 | 15/15 |
| PSO-BFGS voglis | 29 (15) | 24 (12) | 20 (10) | 16 (8) | 14 (7) | 12 (6) | 12 (6) | 14/15 |
| SNES schaul | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 1.5 (0.0) | 1.6 (0.0) | 1.6 (0.0) | 1.4 (0.0) | 1.5 (0.0) | 1.7 (0.0) | 2.0 (0.0) | 15/15 |
| xNESas schaul | 1.3 (0.1) | 1.4 (0.1) | 1.3 (0.1) | 1.1 (0.1) | 1.0 (0.1) | 0.99 (0.1) | 1.0 (0.1) | 15/15 |
| Δ fopt f11, 20-D |
1e1 1002 |
1e0 2228 |
1e-1 6278 |
1e-2 8586 |
1e-3 9762 |
1e-5 12285 |
1e-7 14831 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1002 (53) | 1328 (2266) | 679 (1203) | 869 (1464) | 995 (1799) | 1037 (1021) | 1462 (1010) | 2/15 |
| BIPOPaCMA loshchilov | 4.5 (0.3) | 2.3 (0.1) | 0.87 (0.0)↑0 | 0.68 (0.0)↑0 | 0.64 (0.0)↑0 | 0.56 (0.0)↑0 | 0.51 (0.0)↑0 | 15/15 |
| BIPOPsaACM loshchilov | 2.5 (0.4) | 1.2 (0.2) | 0.44 (0.1)↑0 | 0.34 (0.1)↑0 | 0.30 (0.0)↑0 | 0.26 (0.0)↑0 | 0.23 (0.0)↑0 | 15/15 |
| CMAES posik | 11 (0.8) | 5.3 (0.2) | 2.0 (0.1) | 1.5 (0.0) | 1.4 (0.0) | 1.2 (0.0) | 1.0 (0.0) | 15/15 |
| CMA brockhoff | 10 (1.0) | 5.1 (0.3) | 1.9 (0.1) | 1.5 (0.1) | 1.4 (0.0) | 1.2 (0.0) | 1.0 (0.0) | 15/15 |
| CMAa brockhoff | 4.5 (0.2) | 2.2 (0.1) | 0.86 (0.0)↑0 | 0.68 (0.0)↑0 | 0.63 (0.0)↑0 | 0.55 (0.0)↑0 | 0.50 (0.0)↑0 | 15/15 |
| CMAm brockhoff | 11 (0.7) | 5.4 (0.4) | 2.0 (0.1) | 1.6 (0.1) | 1.4 (0.1) | 1.2 (0.1) | 1.1 (0.0) | 15/15 |
| CMAma brockhoff | 4.3 (0.5) | 2.1 (0.2) | 0.82 (0.1)↑0 | 0.64 (0.0)↑0 | 0.59 (0.0)↑0 | 0.51 (0.0)↑0 | 0.45 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 4.8 (0.5) | 2.4 (0.2) | 0.92 (0.1)↑0 | 0.71 (0.0)↑0 | 0.66 (0.0)↑0 | 0.56 (0.0)↑0 | 0.49 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 11 (0.9) | 5.6 (0.3) | 2.1 (0.1) | 1.7 (0.1) | 1.5 (0.1) | 1.3 (0.0) | 1.1 (0.0) | 15/15 |
| DBRCGA chuang | 431 (168) | 396 (54) | 189 (21) | 169 (8) | 165 (8) | 154 (5) | ∞2e6 | 0/15 |
| DE-AUTO voglis | 0.38 (0.5) | 0.19 (0.2)↑0 | 0.07 (0.1)↑0 | 0.06 (0.1)↑0 | 0.06 (0.1)↑0 | 0.05 (0.0)↑0 | 0.10 (0.0)↑0 | 15/15 |
| DE-BFGS voglis | 0.20 (0.1)↑0 | 0.11 (0.1)↑0 | 0.05 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (9e-3)↑0 | 0.05 (0.0)↑0 | 15/15 |
| DE-ROLL voglis | 510 (225) | 6544 (6040) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 90 (38) | 162 (67) | 142 (53) | 245 (192) | 1512 (1517) | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 13 (4) | 7.4 (2) | 3.2 (0.7) | 2.7 (0.5) | 2.7 (0.5) | 2.6 (0.4) | 2.6 (0.3) | 15/15 |
| DE posik | 7377 (9232) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 7377 (7485) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 2.5 (0.5) | 1.2 (0.2) | 0.45 (0.1)↑0 | 0.34 (0.1)↑0 | 0.31 (0.1)↑0 | 0.26 (0.1)↑0 | 0.23 (0.0)↑0 | 15/15 |
| JADE posik | 92 (19) | 46 (8) | 18 (4) | 15 (3) | 15 (3) | 15 (3) | 15 (3) | 14/15 |
| JADEb posik | 281 (520) | 140 (228) | 54 (80) | 43 (60) | 41 (54) | 37 (42) | 35 (34) | 12/15 |
| JADEctpb posik | 92 (19) | 46 (8) | 18 (4) | 15 (3) | 15 (3) | 15 (3) | 15 (3) | 14/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 4.6 (0.4) | 2.3 (0.2) | 0.89 (0.1)↑0 | 0.69 (0.0)↑0 | 0.64 (0.0)↑0 | 0.56 (0.0)↑0 | 0.51 (0.0)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 4.5 (0.3) | 2.3 (0.1) | 0.87 (0.0)↑0 | 0.69 (0.0)↑0 | 0.64 (0.0)↑0 | 0.56 (0.0)↑0 | 0.50 (0.0)↑0 | 15/15 |
| PSO-BFGS voglis | 0.25 (0.2)↑0 | 0.14 (0.1)↑0 | 0.05 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (0.0)↑0 | 0.05 (0.0)↑0 | 15/15 |
| SNES schaul | 1.2e5 (9e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 4.9 (0.3) | 3.3 (0.2) | 1.6 (0.1) | 1.5 (0.0) | 1.6 (0.0) | 1.8 (0.0) | 1.9 (0.0) | 15/15 |
| xNESas schaul | 4.8 (0.3) | 3.1 (0.2) | 1.4 (0.1) | 1.2 (0.1) | 1.1 (0.2) | 1.00 (0.2) | 0.91 (0.2) | 15/15 |
| Δ fopt f12, 20-D |
1e1 1042 |
1e0 1938 |
1e-1 2740 |
1e-2 3156 |
1e-3 4140 |
1e-5 12407 |
1e-7 13827 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 3664 (5724) | 1.0e4 (9030) | 2.4e4 (3e4) | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.3 (3) | 3.5 (3) | 4.0 (2) | 4.2 (2) | 3.7 (1) | 1.5 (0.4) | 1.5 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 0.99 (0.9) | 1.1 (1) | 1.2 (0.9) | 1.3 (1) | 1.2 (0.9) | 0.55 (0.3)↑0 | 0.59 (0.3)↑0 | 15/15 |
| CMAES posik | 2.2 (0.2) | 3.2 (3) | 4.0 (3) | 4.4 (3) | 4.0 (2) | 1.8 (0.8) | 1.9 (0.7) | 15/15 |
| CMA brockhoff | 3.4 (5) | 5.4 (4) | 5.6 (3) | 5.8 (3) | 5.1 (2) | 2.1 (0.9) | 2.2 (0.9) | 15/15 |
| CMAa brockhoff | 2.4 (0.2) | 3.4 (2) | 3.4 (2) | 3.8 (2) | 3.4 (1) | 1.4 (0.5) | 1.5 (0.5) | 15/15 |
| CMAm brockhoff | 3.2 (4) | 4.1 (5) | 4.8 (5) | 5.2 (4) | 4.6 (3) | 2.0 (1) | 2.1 (1.0) | 15/15 |
| CMAma brockhoff | 2.3 (2) | 3.1 (3) | 3.2 (2) | 3.4 (2) | 3.1 (1) | 1.3 (0.5) | 1.4 (0.5) | 15/15 |
| CMAmah brockhoff | 1.2 (1) | 2.1 (2) | 2.6 (2) | 2.8 (1) | 2.5 (1) | 1.1 (0.4) | 1.1 (0.3) | 15/15 |
| CMAmh brockhoff | 4.5 (5) | 6.1 (6) | 6.4 (5) | 6.5 (5) | 5.6 (3) | 2.4 (1) | 2.4 (1) | 15/15 |
| DBRCGA chuang | 185 (16) | 1209 (1291) | 1.0e4 (1e4) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 2.2 (2) | 2.3 (3) | 2.9 (3) | 3.6 (4) | 4.4 (4) | 4.5 (2) | 39 (49) | 7/15 |
| DE-BFGS voglis | 1.4 (0.8) | 1.4 (1) | 1.6 (1) | 1.6 (1.0) | 1.7 (1) | 1.1 (0.6) | 4.6 (4) | 15/15 |
| DE-ROLL voglis | 21 (35) | 18 (24) | 18 (17) | 24 (16) | 27 (20) | 25 (20) | 100 (110) | 6/15 |
| DE-SIMPLEX voglis | 34 (31) | 30 (23) | 28 (17) | 30 (18) | 31 (17) | 21 (17) | 621 (793) | 0/15 |
| DEAE posik | 22 (1) | 14 (3) | 14 (4) | 15 (4) | 14 (3) | 6.1 (1) | 6.4 (1) | 15/15 |
| DE posik | 99 (6) | 478 (517) | 1496 (2175) | 4481 (3961) | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 99 (6) | 478 (647) | 1496 (2000) | 4481 (3406) | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 194 (208) | 406 (722) | 1276 (1775) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 0.67 (0.1)↑0 | 0.88 (0.7) | 1.1 (0.7) | 1.2 (0.7) | 1.2 (0.5) | 0.56 (0.2)↑0 | 0.60 (0.2)↑0 | 15/15 |
| JADE posik | 19 (4) | 20 (15) | 28 (15) | 30 (13) | 28 (10) | 13 (3) | 14 (3) | 15/15 |
| JADEb posik | 23 (24) | 34 (30) | 40 (29) | 42 (24) | 39 (17) | 17 (6) | 18 (5) | 15/15 |
| JADEctpb posik | 19 (4) | 20 (15) | 28 (15) | 30 (13) | 28 (10) | 13 (3) | 14 (3) | 15/15 |
| MVDE melo | 108 (31) | 272 (313) | 528 (551) | 4612 (5308) | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.3 (0.2) | 2.7 (2) | 3.2 (2) | 3.4 (2) | 3.2 (1) | 1.3 (0.5) | 1.4 (0.5) | 15/15 |
| NIPOPaCMA loshchilov | 3.5 (3) | 3.6 (3) | 3.5 (2) | 3.8 (2) | 3.4 (1) | 1.4 (0.4) | 1.4 (0.4) | 15/15 |
| PSO-BFGS voglis | 2.2 (2) | 2.3 (2) | 2.3 (2) | 3.1 (3) | 3.7 (3) | 5.0 (4) | 21 (24) | 13/15 |
| SNES schaul | 23 (38) | 37 (41) | 122 (57) | 651 (932) | 3134 (2554) | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 16 (0.5) | 11 (0.4) | 9.3 (1) | 9.4 (1) | 8.3 (0.8) | 3.5 (0.2) | 3.6 (0.2) | 15/15 |
| xNESas schaul | 6.6 (4) | 16 (8) | 18 (18) | 30 (42) | 35 (38) | 21 (21) | 22 (21) | 15/15 |
| Δ fopt f13, 20-D |
1e1 652 |
1e0 2021 |
1e-1 2751 |
1e-2 3507 |
1e-3 18749 |
1e-5 24455 |
1e-7 30201 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.8e4 (2e4) | 3.2e4 (5e4) | 5.1e4 (1e5) | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 4.1 (3) | 3.3 (3) | 3.7 (3) | 3.4 (2) | 0.85 (0.4) | 1.1 (0.8) | 1.4 (0.6) | 15/15 |
| BIPOPsaACM loshchilov | 1.1 (0.9) | 0.89 (0.7) | 1.4 (1.0) | 1.4 (1) | 0.38 (0.1)↑0 | 0.42 (0.2)↑0 | 0.40 (0.1)↑0 | 15/15 |
| CMAES posik | 6.3 (5) | 5.1 (3) | 4.5 (3) | 4.4 (3) | 1.9 (2) | 4.6 (5) | 8.4 (9) | 12/15 |
| CMA brockhoff | 2.5 (0.4) | 5.1 (4) | 7.5 (6) | 8.4 (6) | 1.7 (1) | 1.9 (0.9) | 2.0 (1) | 15/15 |
| CMAa brockhoff | 2.4 (0.3) | 3.5 (3) | 4.5 (3) | 4.5 (4) | 1.1 (0.8) | 1.2 (0.7) | 1.5 (1.0) | 15/15 |
| CMAm brockhoff | 3.1 (4) | 3.2 (4) | 6.2 (4) | 6.3 (4) | 1.7 (1) | 2.4 (0.9) | 2.4 (0.7) | 15/15 |
| CMAma brockhoff | 2.9 (3) | 3.5 (3) | 4.4 (2) | 4.0 (3) | 0.94 (0.4) | 1.1 (0.5) | 1.5 (1) | 15/15 |
| CMAmah brockhoff | 3.6 (3) | 3.3 (4) | 4.2 (3) | 4.8 (3) | 1.3 (0.4) | 1.4 (0.6) | 1.8 (0.9) | 15/15 |
| CMAmh brockhoff | 3.7 (3) | 5.1 (5) | 6.4 (6) | 6.8 (5) | 1.8 (0.7) | 2.4 (1.0) | 2.7 (0.7) | 15/15 |
| DBRCGA chuang | 183 (295) | 398 (496) | 2063 (2180) | 3740 (7413) | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 1.8 (0.5) | 0.91 (0.4) | 0.95 (0.3) | 1.4 (0.7) | 0.70 (0.6) | 4.5 (3) | 32 (37) | 7/15 |
| DE-BFGS voglis | 1.3 (0.1) | 0.59 (0.1)↑0 | 0.53 (0.0)↑0 | 0.50 (0.0)↑0 | 0.18 (0.2)↑0 | 92 (130) | ∞2e6 | 0/15 |
| DE-ROLL voglis | 24 (15) | 18 (20) | 17 (15) | 19 (16) | 5.8 (4) | 24 (16) | 289 (332) | 1/15 |
| DE-SIMPLEX voglis | 28 (17) | 15 (7) | 16 (6) | 24 (12) | 9.0 (6) | 195 (240) | ∞2e6 | 0/15 |
| DEAE posik | 22 (2) | 10 (0.6) | 10 (0.5) | 9.2 (0.4) | 2.1 (0.1) | 2.1 (0.1) | 2.1 (0.1) | 15/15 |
| DE posik | 41 (7) | 214 (247) | 702 (690) | 4009 (4562) | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 41 (7) | 214 (386) | 702 (545) | 4009 (2923) | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 50 (8) | 103 (76) | 607 (640) | 4254 (3992) | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 1.7 (2) | 1.7 (0.8) | 1.5 (0.7) | 1.5 (0.9) | 0.34 (0.2)↑0 | 0.37 (0.1)↑0 | 0.41 (0.2)↑0 | 15/15 |
| JADE posik | 17 (2) | 14 (5) | 15 (4) | 14 (3) | 3.6 (0.6) | 4.8 (0.8) | 9.0 (2) | 15/15 |
| JADEb posik | 61 (53) | 91 (112) | 175 (247) | 721 (819) | 795 (960) | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 17 (2) | 14 (5) | 15 (4) | 14 (3) | 3.6 (0.6) | 4.8 (0.8) | 9.0 (2) | 15/15 |
| MVDE melo | 68 (5) | 297 (626) | 2522 (4090) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.3 (3) | 2.6 (2) | 3.7 (3) | 4.6 (2) | 1.1 (1.0) | 1.2 (0.6) | 1.3 (0.8) | 15/15 |
| NIPOPaCMA loshchilov | 3.3 (3) | 3.7 (3) | 4.1 (2) | 4.0 (2) | 0.95 (0.3) | 1.1 (0.4) | 1.5 (0.5) | 15/15 |
| PSO-BFGS voglis | 1.2 (0.1) | 0.56 (0.0)↑0 | 0.51 (0.0)↑0 | 0.49 (0.0)↑0 | 0.21 (0.1)↑0 | 133 (124) | ∞2e6 | 0/15 |
| SNES schaul | 11 (0.5) | 54 (59) | 153 (139) | 384 (358) | 140 (126) | 796 (946) | ∞7e6 | 0/15 |
| xNES schaul | 16 (0.5) | 7.8 (0.2) | 7.9 (0.2) | 7.8 (0.1) | 1.8 (0.0) | 1.8 (0.0) | 1.9 (0.0) | 15/15 |
| xNESas schaul | 7.0 (3) | 4.6 (3) | 19 (28) | 46 (61) | 17 (21) | 40 (33) | 81 (83) | 0/15 |
| Δ fopt f14, 20-D |
1e1 75 |
1e0 239 |
1e-1 304 |
1e-2 451 |
1e-3 932 |
1e-5 1648 |
1e-7 15661 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 15 (4) | 9.5 (2) | 11 (2) | 13 (1) | 30 (8) | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.2 (1) | 2.6 (0.5) | 3.3 (0.4) | 3.9 (0.3) | 3.2 (0.3) | 3.8 (0.2) | 0.68 (0.0)↑0 | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (1) | 1.8 (0.6) | 1.9 (0.4) | 2.0 (0.4) | 1.5 (0.2) | 1.4 (0.2) | 0.23 (0.0)↑0 | 15/15 |
| CMAES posik | 4.2 (1) | 3.0 (0.5) | 3.7 (0.4) | 4.3 (0.6) | 4.2 (0.3) | 6.2 (0.5) | 1.2 (0.1) | 15/15 |
| CMA brockhoff | 4.5 (2) | 3.0 (0.6) | 3.7 (0.5) | 4.2 (0.6) | 4.1 (0.4) | 6.1 (0.5) | 1.2 (0.1) | 15/15 |
| CMAa brockhoff | 3.8 (1) | 2.7 (0.3) | 3.5 (0.5) | 3.9 (0.4) | 3.1 (0.2) | 3.9 (0.2) | 0.69 (0.0)↑0 | 15/15 |
| CMAm brockhoff | 2.9 (1) | 2.3 (0.4) | 2.8 (0.3) | 3.5 (0.3) | 3.7 (0.4) | 6.3 (0.6) | 1.2 (0.1) | 15/15 |
| CMAma brockhoff | 3.3 (1) | 2.3 (0.4) | 2.8 (0.4) | 3.3 (0.3) | 2.9 (0.3) | 3.7 (0.3) | 0.65 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 2.0 (0.6) | 1.5 (0.3) | 1.9 (0.3) | 2.3 (0.3) | 2.3 (0.3) | 3.4 (0.4) | 0.66 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 2.3 (1) | 1.6 (0.4) | 1.9 (0.3) | 2.4 (0.3) | 2.8 (0.3) | 5.7 (0.7) | 1.2 (0.1) | 15/15 |
| DBRCGA chuang | 32 (9) | 45 (10) | 67 (13) | 81 (16) | 93 (18) | 1640 (998) | ∞2e6 | 0/15 |
| DE-AUTO voglis | 2.0 (0.3) | 0.93 (0.1) | 0.93 (0.1) | 0.88 (0.1)↑1 | 0.58 (0.0)↑0 | 0.91 (0.0)↑0 | 62 (83) | 0/15 |
| DE-BFGS voglis | 1.7 (0.4) | 0.84 (0.1) | 0.90 (0.2) | 0.93 (0.2) | 0.62 (0.1)↑0 | 0.56 (0.1)↑0 | 125 (113) | 0/15 |
| DE-ROLL voglis | 7.4 (14) | 18 (21) | 17 (16) | 12 (11) | 33 (7) | 3480 (3644) | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 12 (10) | 40 (32) | 53 (17) | 42 (7) | 30 (9) | 122 (52) | ∞2e6 | 0/15 |
| DEAE posik | 30 (4) | 27 (3) | 37 (4) | 38 (4) | 24 (2) | 19 (1) | 2.7 (0.2) | 15/15 |
| DE posik | 55 (19) | 46 (6) | 53 (6) | 90 (14) | 502 (176) | ∞ | ∞1e6 | 0/15 |
| DEb posik | 55 (19) | 46 (6) | 53 (6) | 90 (14) | 502 (176) | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 57 (23) | 47 (8) | 57 (10) | 92 (17) | 814 (261) | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 3.0 (0.6) | 1.8 (0.3) | 1.9 (0.4) | 2.0 (0.2) | 1.4 (0.2) | 1.4 (0.1) | 0.23 (0.0)↑0 | 15/15 |
| JADE posik | 18 (6) | 18 (1) | 23 (2) | 25 (2) | 20 (1) | 38 (24) | 62 (54) | 5/15 |
| JADEb posik | 14 (4) | 13 (2) | 18 (2) | 22 (2) | 21 (3) | 77 (30) | ∞1e6 | 0/15 |
| JADEctpb posik | 18 (6) | 18 (1) | 23 (2) | 25 (2) | 20 (1) | 38 (24) | 62 (51) | 5/15 |
| MVDE melo | 57 (10) | 60 (6) | 78 (4) | 108 (11) | 1465 (2017) | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 4.3 (1) | 3.0 (0.5) | 3.7 (0.7) | 4.0 (0.5) | 3.2 (0.5) | 3.9 (0.4) | 0.67 (0.1)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 4.3 (1) | 2.8 (0.6) | 3.5 (0.7) | 4.0 (0.6) | 3.3 (0.3) | 3.9 (0.3) | 0.69 (0.0)↑0 | 15/15 |
| PSO-BFGS voglis | 1.7 (0.6) | 0.85 (0.1) | 0.98 (0.2) | 0.97 (0.2) | 0.63 (0.1)↑0 | 0.57 (0.1)↑0 | 892 (1096) | 0/15 |
| SNES schaul | 2.6 (0.9) | 2.4 (0.4) | 3.9 (0.4) | 5.3 (0.4) | 8.5 (4) | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 2.4 (1.0) | 7.9 (1) | 19 (0.7) | 21 (0.6) | 14 (0.4) | 12 (0.3) | 1.7 (0.0) | 15/15 |
| xNESas schaul | 2.6 (0.8) | 7.6 (1) | 14 (3) | 17 (3) | 12 (1) | 10 (1) | 1.5 (0.1) | 15/15 |
| Δ fopt f15, 20-D |
1e1 30378 |
1e0 1.5e5 |
1e-1 3.1e5 |
1e-2 3.2e5 |
1e-3 3.2e5 |
1e-5 4.5e5 |
1e-7 4.6e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 919 (987) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 0.88 (0.4) | 1.6 (0.6) | 1.2 (0.6) | 1.2 (0.6) | 1.2 (0.6) | 0.89 (0.5) | 0.89 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 0.65 (0.6) | 1.3 (0.6) | 0.91 (0.7) | 0.90 (0.6) | 0.89 (0.6) | 0.66 (0.5) | 0.65 (0.5) | 15/15 |
| CMAES posik | 37 (52) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 0.98 (0.7) | 0.98 (0.4) | 0.76 (0.2) | 0.77 (0.2) | 0.77 (0.2) | 0.57 (0.2)↑0 | 0.58 (0.2)↑0 | 15/15 |
| CMAa brockhoff | 0.90 (0.5) | 1.0 (0.3) | 0.60 (0.3)↑1 | 0.61 (0.3)↑1 | 0.61 (0.3)↑1 | 0.45 (0.2)↑0 | 0.46 (0.3)↑0 | 15/15 |
| CMAm brockhoff | 0.81 (0.6) | 1.1 (0.3) | 0.69 (0.3) | 0.69 (0.3) | 0.70 (0.3) | 0.52 (0.3)↑1 | 0.53 (0.3)↑1 | 15/15 |
| CMAma brockhoff | 0.62 (0.2)↑1 | 0.98 (0.3) | 0.65 (0.3)↑0 | 0.66 (0.3)↑1 | 0.67 (0.3)↑1 | 0.49 (0.2)↑0 | 0.50 (0.2)↑0 | 15/15 |
| CMAmah brockhoff | 0.92 (0.6) | 1.2 (0.6) | 0.64 (0.3)↑1 | 0.65 (0.3)↑1 | 0.65 (0.3)↑1 | 0.48 (0.2)↑0 | 0.49 (0.2)↑0 | 15/15 |
| CMAmh brockhoff | 0.98 (0.6) | 1.1 (0.3) | 0.66 (0.3) | 0.67 (0.3) | 0.67 (0.3) | 0.50 (0.3)↑0 | 0.50 (0.3)↑0 | 15/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 59 (45) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 28 (15) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 32 (19) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 25 (11) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 0.60 (0.5) | 0.92 (0.7) | 0.53 (0.4)↑1 | 0.53 (0.4)↑1 | 0.52 (0.4)↑1 | 0.37 (0.3)↑0 | 0.37 (0.3)↑0 | 15/15 |
| JADE posik | 39 (32) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 39 (42) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.2 (0.9) | 1.2 (0.5) | 0.79 (0.5) | 0.79 (0.5) | 0.79 (0.5) | 0.58 (0.4)↑0 | 0.59 (0.4)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 0.81 (0.3)↑1 | 0.99 (0.3) | 0.67 (0.3)↑1 | 0.67 (0.3) | 0.68 (0.3) | 0.50 (0.3)↑0 | 0.51 (0.3)↑0 | 15/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 49 (76) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 43 (41) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNESas schaul | 44 (52) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| Δ fopt f16, 20-D |
1e1 1384 |
1e0 27265 |
1e-1 77015 |
1e-2 1.4e5 |
1e-3 1.9e5 |
1e-5 2.0e5 |
1e-7 2.2e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.0e5 (2e5) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.7 (0.6) | 0.87 (0.5) | 0.78 (0.5) | 0.85 (0.5) | 0.92 (0.4) | 1.2 (0.8) | 1.1 (0.8) | 15/15 |
| BIPOPsaACM loshchilov | 1.9 (0.6) | 0.74 (0.4) | 0.51 (0.3)↑1 | 0.64 (0.3)↑1 | 0.60 (0.5) | 0.84 (0.5) | 0.83 (0.5) | 15/15 |
| CMAES posik | 1.9 (0.8) | 2.7 (2) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 1.8 (1) | 1.1 (0.4) | 0.82 (0.7) | 0.93 (1.0) | 1.1 (0.9) | 1.2 (0.9) | 1.1 (0.8) | 15/15 |
| CMAa brockhoff | 1.9 (0.6) | 0.76 (0.3) | 0.83 (0.7) | 0.56 (0.4) | 0.81 (0.5) | 1.00 (0.9) | 0.95 (0.8) | 15/15 |
| CMAm brockhoff | 1.3 (0.6) | 0.85 (0.5) | 1.3 (1) | 1.2 (0.9) | 1.4 (1) | 1.4 (1) | 1.3 (1) | 15/15 |
| CMAma brockhoff | 2.2 (3) | 0.63 (0.6) | 0.84 (0.6) | 0.64 (0.6) | 0.76 (0.6) | 0.85 (0.9) | 0.79 (0.9) | 15/15 |
| CMAmah brockhoff | 2.3 (3) | 0.91 (0.5) | 0.90 (0.6) | 0.69 (0.6) | 0.92 (0.5) | 1.3 (1) | 1.2 (0.9) | 15/15 |
| CMAmh brockhoff | 3.0 (3) | 1.1 (0.6) | 1.1 (0.7) | 0.99 (0.7) | 1.0 (0.8) | 1.1 (0.8) | 1.0 (0.8) | 15/15 |
| DBRCGA chuang | 118 (162) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 40 (46) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 595 (508) | 242 (184) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 20 (18) | 1093 (863) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 54 (37) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 1.8 (0.8) | 0.55 (0.4)↑1 | 0.77 (0.8) | 0.63 (0.5) | 0.52 (0.4)↑0 | 0.55 (0.4)↑0 | 0.50 (0.3)↑0 | 15/15 |
| JADE posik | 24 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEb posik | 60 (42) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 24 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| MVDE melo | 1353 (1592) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.6 (2) | 0.80 (0.4) | 0.51 (0.2)↑0 | 0.51 (0.3)↑0 | 0.42 (0.2)↑0 | 0.43 (0.2)↑0 | 0.41 (0.2)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 2.0 (0.9) | 0.57 (0.3) | 0.41 (0.3)↑0 | 0.41 (0.2)↑0 | 0.38 (0.1)↑0 | 0.39 (0.1)↑0 | 0.37 (0.1)↑0 | 15/15 |
| PSO-BFGS voglis | 542 (550) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 2.7 (1) | 11 (15) | 157 (158) | 861 (862) | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 17 (8) | 2.3 (2) | 15 (13) | 35 (32) | 48 (49) | 56 (69) | 50 (58) | 7/15 |
| xNESas schaul | 20 (10) | 4.2 (5) | 9.2 (7) | 22 (25) | 108 (110) | 133 (140) | 119 (102) | 6/15 |
| Δ fopt f17, 20-D |
1e1 63 |
1e0 1030 |
1e-1 4005 |
1e-2 12242 |
1e-3 30677 |
1e-5 56288 |
1e-7 80472 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 12 (8) | 4.5 (1) | 269 (447) | 677 (902) | 4564 (3830) | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.0 (1) | 1.1 (0.3) | 1.7 (2) | 1.4 (1) | 1.0 (0.4) | 0.90 (0.5) | 1.1 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (2) | 1.2 (0.4) | 2.7 (3) | 1.6 (0.9) | 1.2 (0.7) | 1.2 (0.5) | 1.4 (0.8) | 15/15 |
| CMAES posik | 2.8 (2) | 0.96 (0.4) | 1.5 (2) | 3.7 (3) | 8.1 (8) | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 2.2 (1) | 1.00 (0.3) | 1.5 (2) | 1.1 (0.7) | 0.81 (0.3) | 0.93 (0.4) | 0.91 (0.3) | 15/15 |
| CMAa brockhoff | 2.3 (1) | 0.87 (0.2) | 0.52 (0.2)↑0 | 0.73 (0.6) | 0.70 (0.3) | 0.80 (0.4) | 0.92 (0.2) | 15/15 |
| CMAm brockhoff | 2.2 (0.5) | 0.82 (0.3) | 1.4 (1) | 0.76 (0.5) | 0.59 (0.3)↑1 | 0.82 (0.4) | 0.92 (0.1) | 15/15 |
| CMAma brockhoff | 2.2 (2) | 0.86 (0.2) | 1.4 (2) | 1.2 (0.7) | 0.70 (0.3)↑1 | 0.79 (0.3) | 0.82 (0.2)↑1 | 15/15 |
| CMAmah brockhoff | 2.0 (1) | 8.8 (10) | 4.0 (2) | 1.7 (1.0) | 0.92 (0.4) | 0.96 (0.4) | 0.94 (0.3) | 15/15 |
| CMAmh brockhoff | 1.8 (0.8) | 22 (28) | 7.7 (6) | 3.1 (2) | 1.4 (0.8) | 1.3 (0.7) | 1.3 (0.6) | 15/15 |
| DBRCGA chuang | 18 (9) | 2347 (3923) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 48 (68) | 335 (185) | 529 (515) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 17 (19) | 117 (48) | 327 (282) | 1140 (1674) | 952 (930) | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 15 (17) | 358 (276) | 535 (1378) | 1105 (1063) | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 34 (40) | 381 (238) | 2127 (2231) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 19 (11) | 13 (2) | 8.4 (0.9) | 4.4 (0.4) | 2.3 (0.3) | 37 (46) | 90 (127) | 2/15 |
| DE posik | 26 (19) | 16 (4) | 13 (4) | 8.0 (2) | 8.8 (9) | ∞ | ∞1e6 | 0/15 |
| DEb posik | 26 (19) | 16 (4) | 13 (4) | 8.0 (2) | 8.8 (9) | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 16 (12) | 17 (3) | 11 (1) | 6.8 (0.6) | 4.3 (0.6) | 63 (67) | 183 (255) | 1/15 |
| IPOPsaACM loshchilov | 2.5 (2) | 0.91 (0.3) | 0.98 (1) | 1.7 (1) | 1.2 (0.5) | 1.2 (0.4) | 1.1 (0.5) | 15/15 |
| JADE posik | 7.8 (5) | 7.4 (1) | 4.4 (0.7) | 2.4 (0.4) | 1.7 (0.5) | 7.2 (11) | 23 (27) | 2/15 |
| JADEb posik | 9.3 (6) | 14 (12) | 85 (130) | 90 (130) | 466 (652) | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 7.8 (5) | 7.4 (1) | 4.4 (0.7) | 2.4 (0.4) | 1.7 (0.5) | 7.2 (9) | 23 (19) | 2/15 |
| MVDE melo | 19 (14) | 29 (5) | 24 (5) | 30 (41) | 34 (35) | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.6 (1) | 1.00 (0.2) | 0.77 (0.3)↑1 | 1.3 (0.7) | 1.2 (0.5) | 1.4 (0.8) | 1.2 (0.7) | 15/15 |
| NIPOPaCMA loshchilov | 2.5 (1) | 1.1 (0.3) | 1.9 (2) | 1.2 (0.7) | 0.79 (0.4) | 0.88 (0.3) | 0.81 (0.2) | 15/15 |
| PSO-BFGS voglis | 19 (15) | 1652 (1342) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 2.0 (1) | 1.0 (0.3) | 5.9 (10) | 4.2 (10) | 3.9 (5) | 239 (213) | ∞8e6 | 0/15 |
| xNES schaul | 1.9 (1) | 3.6 (0.6) | 3.0 (0.1) | 1.7 (0.1) | 0.94 (0.0)↑0 | 2.7 (3) | 12 (14) | 15/15 |
| xNESas schaul | 2.1 (1.0) | 3.5 (0.4) | 2.9 (0.2) | 1.6 (0.1) | 0.92 (0.0)↑0 | 1.4 (0.7) | 12 (9) | 15/15 |
| Δ fopt f18, 20-D |
1e1 621 |
1e0 3972 |
1e-1 19561 |
1e-2 28555 |
1e-3 67569 |
1e-5 1.3e5 |
1e-7 1.5e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4.7 (2) | 3.5 (1) | 493 (943) | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 0.94 (0.2) | 0.77 (0.1)↑1 | 1.5 (0.7) | 1.6 (1) | 1.4 (0.5) | 1.2 (0.7) | 1.5 (0.7) | 15/15 |
| BIPOPsaACM loshchilov | 1.0 (0.3) | 1.5 (1) | 0.92 (0.4) | 1.3 (0.4) | 0.96 (0.4) | 1.6 (0.6) | 1.6 (0.5) | 15/15 |
| CMAES posik | 1.1 (0.4) | 2.0 (2) | 4.2 (5) | 493 (569) | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 0.96 (0.2) | 0.70 (0.4) | 0.89 (0.7) | 1.3 (0.8) | 0.98 (0.3) | 1.1 (0.8) | 1.1 (0.8) | 15/15 |
| CMAa brockhoff | 0.96 (0.3) | 0.96 (2) | 0.96 (0.9) | 1.2 (0.4) | 0.79 (0.3) | 0.85 (0.4) | 0.87 (0.3) | 15/15 |
| CMAm brockhoff | 0.81 (0.3) | 1.0 (1) | 0.61 (0.7) | 0.93 (0.4) | 0.89 (0.3) | 0.97 (0.3) | 0.95 (0.3) | 15/15 |
| CMAma brockhoff | 0.85 (0.2) | 0.57 (0.3)↑1 | 0.78 (0.7) | 0.99 (0.4) | 0.68 (0.2)↑0 | 0.77 (0.4) | 0.74 (0.3) | 15/15 |
| CMAmah brockhoff | 0.95 (0.5) | 2.5 (2) | 1.2 (0.7) | 1.1 (0.3) | 0.79 (0.3) | 0.88 (0.4) | 0.91 (0.3) | 15/15 |
| CMAmh brockhoff | 3.3 (8) | 3.4 (2) | 1.2 (0.7) | 1.5 (0.5) | 1.1 (0.7) | 1.1 (0.3) | 1.1 (0.3) | 15/15 |
| DBRCGA chuang | 13 (6) | 7527 (6924) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 131 (69) | 416 (347) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 69 (61) | 350 (306) | 1503 (1459) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 87 (28) | 518 (524) | 1470 (1510) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 115 (81) | 1124 (2415) | 1462 (2149) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 12 (4) | 6.3 (1) | 2.3 (0.3) | 2.7 (0.6) | 2.5 (2) | 6.7 (8) | 14 (9) | 4/15 |
| DE posik | 17 (4) | 16 (5) | 15 (7) | 56 (50) | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 17 (4) | 16 (5) | 15 (7) | 56 (53) | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 17 (5) | 14 (4) | 7.8 (2) | 21 (17) | 50 (60) | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 0.96 (0.5) | 1.4 (2) | 0.91 (0.6) | 1.3 (0.8) | 0.78 (0.5) | 0.88 (0.4) | 1.3 (0.8) | 15/15 |
| JADE posik | 7.2 (2) | 4.4 (1) | 1.5 (0.4) | 8.2 (8) | 19 (24) | ∞ | ∞1e6 | 0/15 |
| JADEb posik | 6.3 (3) | 13 (15) | 127 (139) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 7.2 (2) | 4.4 (1) | 1.5 (0.4) | 8.2 (8) | 19 (22) | ∞ | ∞1e6 | 0/15 |
| MVDE melo | 23 (4) | 37 (18) | 133 (230) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.0 (0.3) | 1.4 (2) | 1.4 (0.8) | 1.5 (1) | 1.2 (0.7) | 0.97 (0.3) | 0.92 (0.3) | 15/15 |
| NIPOPaCMA loshchilov | 1.0 (0.3) | 0.76 (0.1)↑1 | 0.79 (0.4)↑1 | 1.1 (0.4) | 0.88 (0.3) | 0.85 (0.4) | 0.84 (0.3) | 15/15 |
| PSO-BFGS voglis | 210 (159) | 7504 (9073) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 1.0 (0.4) | 2.0 (0.4) | 6.3 (4) | 28 (39) | 547 (445) | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 1.3 (0.6) | 2.0 (0.2) | 0.84 (0.0)↑0 | 0.88 (0.0)↑0 | 0.50 (0.0)↑0 | 1.3 (2) | 11 (14) | 15/15 |
| xNESas schaul | 1.2 (0.5) | 1.9 (0.1) | 0.81 (0.0)↑0 | 0.84 (0.0)↑0 | 0.48 (0.0)↑0 | 0.58 (0.3) | 5.6 (6) | 15/15 |
| Δ fopt f19, 20-D |
1e1 1 |
1e0 1 |
1e-1 3.4e5 |
1e-2 4.7e6 |
1e-3 6.2e6 |
1e-5 6.7e6 |
1e-7 6.7e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 686 (252) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 184 (66) | 2.9e4 (2e4) | 1.4 (1) | 1.0 (0.4) | 1.0 (0.4) | 1.0 (0.4) | 1.0 (0.4) | 15/15 |
| BIPOPsaACM loshchilov | 143 (52) | 2.5e4 (1e4) | 0.42 (0.3)↑1 | 0.76 (0.2) | 0.72 (0.4) | 0.73 (0.4) | 0.73 (0.4) | 15/15 |
| CMAES posik | 162 (70) | 4.8e4 (4e4) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 170 (56) | 3.1e4 (3e4) | 2.0 (3) | 0.84 (0.6) | 0.94 (1.0) | 1.7 (1) | 1.7 (1) | 5/15 |
| CMAa brockhoff | 156 (72) | 7.7e4 (1e4) | 2.5 (4) | 0.85 (0.5) | 0.73 (0.6) | 0.88 (0.6) | 0.88 (0.8) | 8/15 |
| CMAm brockhoff | 134 (58) | 1.8e4 (1e4) | 1.1 (0.6) | 0.95 (0.6) | 2.3 (3) | 2.9 (3) | 2.8 (4) | 3/15 |
| CMAma brockhoff | 135 (44) | 4.2e4 (3e4) | 3.2 (4) | 1.3 (1) | 1.0 (0.4) | 1.6 (1) | 2.1 (2) | 4/15 |
| CMAmah brockhoff | 95 (46) | 8.5e4 (2e5) | 2.5 (4) | 0.80 (0.7) | 0.91 (1) | 1.3 (2) | 1.3 (1.0) | 6/15 |
| CMAmh brockhoff | 82 (52) | 2.4e4 (3e4) | 3.3 (4) | 1.3 (0.8) | 1.8 (2) | 2.9 (2) | 2.8 (4) | 3/15 |
| DBRCGA chuang | 975 (165) | 6.9e5 (8e5) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 2751 (2816) | 1.1e5 (8e4) | 87 (115) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 3206 (3658) | 3.8e4 (2e4) | 5.4 (7) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 3941 (5048) | 2.2e5 (3e5) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 8348 (6218) | 1.5e5 (5e4) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 1434 (466) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | 2739 (802) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 2739 (802) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 2148 (731) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 154 (50) | 3.0e4 (2e4) | 0.61 (0.5) | 0.40 (0.2) | 0.33 (0.1)↑1 | 0.32 (0.2)↑1 | 0.32 (0.2)↑1 | 14/15 |
| JADE posik | 856 (206) | 7.0e5 (5e5) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEb posik | 826 (254) | 3.1e6 (5e6) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 856 (206) | 7.0e5 (7e5) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| MVDE melo | 2928 (795) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 180 (56) | 2.9e4 (2e4) | 0.98 (0.9) | 0.75 (0.6) | 0.69 (0.3) | 0.64 (0.3)↑1 | 0.65 (0.3)↑1 | 15/15 |
| NIPOPaCMA loshchilov | 169 (62) | 2.8e4 (2e4) | 1.7 (2) | 0.71 (0.4) | 0.59 (0.4) | 0.56 (0.3)↑1 | 0.56 (0.3)↑1 | 15/15 |
| PSO-BFGS voglis | 3614 (6276) | 3.5e4 (1e4) | 1.4 (1) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 118 (40) | 1.3e5 (1e5) | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | 105 (59) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| xNESas schaul | 108 (35) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| Δ fopt f20, 20-D |
1e1 82 |
1e0 46150 |
1e-1 3.1e6 |
1e-2 5.5e6 |
1e-3 5.5e6 |
1e-5 5.6e6 |
1e-7 5.6e6 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 16 (4) | 1.6 (1) | 24 (22) | 27 (26) | 27 (41) | 26 (29) | 26 (34) | 1/15 |
| BIPOPaCMA loshchilov | 4.9 (1) | 4.8 (2) | 1.4 (0.6) | 0.95 (0.3) | 0.95 (0.3) | 0.95 (0.3) | 0.95 (0.3) | 15/15 |
| BIPOPsaACM loshchilov | 2.9 (0.5) | 2.1 (1) | 0.97 (0.7) | 0.87 (0.4) | 0.87 (0.4) | 0.86 (0.4) | 0.85 (0.4) | 15/15 |
| CMAES posik | 5.1 (1) | 156 (195) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 4.8 (1) | 5.4 (2) | 0.79 (0.4) | 1.2 (1) | 1.2 (0.6) | 1.2 (1) | 1.2 (2) | 6/15 |
| CMAa brockhoff | 4.8 (1) | 3.2 (1) | 0.90 (0.4) | 1.1 (0.7) | 1.1 (0.6) | 1.1 (1.0) | 1.7 (2) | 5/15 |
| CMAm brockhoff | 3.4 (0.7) | 5.4 (3) | 1.1 (0.8) | 1.4 (1) | 1.4 (1) | 2.0 (2) | 3.3 (3) | 3/15 |
| CMAma brockhoff | 3.9 (0.7) | 3.0 (1) | 1.1 (0.7) | 5.0 (5) | 5.0 (6) | 5.0 (6) | 4.9 (3) | 2/15 |
| CMAmah brockhoff | 2.5 (0.8) | 3.4 (1) | 0.87 (0.4) | 2.4 (3) | 2.4 (2) | 3.2 (5) | 3.2 (4) | 3/15 |
| CMAmh brockhoff | 2.6 (0.8) | 6.1 (3) | 1.3 (0.7) | 10 (10) | 10 (14) | 10 (9) | 10 (10) | 1/15 |
| DBRCGA chuang | 34 (6) | 148 (126) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 2.1 (0.5) | 3.4 (2) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 6.3 (4) | 1.0 (1.0) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 21 (18) | 0.84 (0.8) | 4.4 (7) | 5.3 (6) | 5.3 (6) | 5.3 (4) | 5.2 (4) | 1/15 |
| DE-SIMPLEX voglis | 21 (27) | 3.6 (3) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 39 (9) | 56 (87) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | 51 (9) | 2.4 (1) | 0.79 (1) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 51 (9) | 2.4 (1) | 0.79 (0.6) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 55 (8) | 104 (82) | 4.8 (5) | 2.7 (3) | 2.7 (3) | 2.7 (4) | 2.7 (3) | 1/15 |
| IPOPsaACM loshchilov | 2.8 (0.5) | 1.7 (0.8) | 0.49 (0.2)↑1 | 0.46 (0.2)↑0 | 0.45 (0.2)↑0 | 0.45 (0.2)↑0 | 0.45 (0.2)↑0 | 15/15 |
| JADE posik | 24 (3) | 1.2 (0.2) | 0.46 (0.5) | 0.62 (0.4) | 0.85 (0.9) | 2.7 (2) | ∞1e6 | 0/15 |
| JADEb posik | 19 (3) | 0.56 (0.6) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 24 (3) | 1.2 (0.2) | 0.46 (0.6) | 0.62 (0.7) | 0.85 (1) | 2.7 (3) | ∞1e6 | 0/15 |
| MVDE melo | 83 (11) | 4.3 (1) | 0.26 (0.4) | 0.30 (0.2) | 0.31 (0.2) | 0.36 (0.4) | 0.36 (0.4) | 6/15 |
| NBIPOPaCMA loshchilov | 4.3 (0.7) | 4.6 (2) | 1.1 (0.5) | 0.98 (0.6) | 0.98 (0.6) | 0.98 (0.6) | 0.98 (0.6) | 15/15 |
| NIPOPaCMA loshchilov | 4.5 (1) | 3.1 (1) | 0.73 (0.3) | 0.59 (0.2)↑0 | 0.59 (0.2)↑0 | 0.60 (0.2)↑0 | 0.60 (0.2)↑0 | 15/15 |
| PSO-BFGS voglis | 7.1 (1) | 0.87 (1) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 3.1 (0.9) | 18 (19) | ∞ | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNES schaul | 5.6 (2) | 1.1 (0.9) | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| xNESas schaul | 5.4 (3) | 1.1 (0.7) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| Δ fopt f21, 20-D |
1e1 561 |
1e0 6541 |
1e-1 14103 |
1e-2 14318 |
1e-3 14643 |
1e-5 15567 |
1e-7 17589 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2745 (8914) | 9938 (1e4) | 9927 (9041) | 9778 (9254) | 9561 (1e4) | 8994 (9315) | 7960 (8954) | 1/15 |
| BIPOPaCMA loshchilov | 7.8 (12) | 110 (57) | 72 (89) | 71 (88) | 69 (86) | 65 (81) | 58 (71) | 15/15 |
| BIPOPsaACM loshchilov | 2.6 (4) | 1.5 (1) | 6.0 (11) | 5.9 (11) | 5.8 (11) | 5.5 (10) | 4.8 (9) | 15/15 |
| CMAES posik | 5.4 (4) | 9.4 (10) | 5.5 (6) | 5.4 (6) | 5.3 (6) | 5.0 (5) | 4.5 (5) | 15/15 |
| CMA brockhoff | 5.0 (5) | 122 (178) | 57 (62) | 56 (80) | 55 (81) | 52 (39) | 46 (68) | 9/15 |
| CMAa brockhoff | 3.2 (4) | 95 (135) | 77 (109) | 76 (106) | 74 (121) | 70 (152) | 62 (65) | 8/15 |
| CMAm brockhoff | 3.5 (4) | 109 (165) | 80 (126) | 79 (82) | 77 (94) | 73 (108) | 65 (97) | 8/15 |
| CMAma brockhoff | 3.0 (5) | 92 (181) | 95 (122) | 94 (84) | 92 (238) | 86 (167) | 76 (133) | 7/15 |
| CMAmah brockhoff | 25 (22) | 124 (189) | 76 (124) | 75 (119) | 73 (65) | 69 (116) | 61 (68) | 8/15 |
| CMAmh brockhoff | 8.7 (7) | 102 (92) | 75 (127) | 74 (94) | 73 (125) | 69 (114) | 61 (100) | 8/15 |
| DBRCGA chuang | 103 (6) | 162 (259) | 97 (142) | 96 (118) | 95 (161) | 90 (129) | 81 (98) | 10/15 |
| DE-AUTO voglis | 50 (111) | 52 (72) | 37 (48) | 37 (48) | 36 (47) | 34 (44) | 30 (39) | 14/15 |
| DE-BFGS voglis | 10 (11) | 33 (56) | 17 (26) | 16 (26) | 16 (25) | 15 (24) | 205 (287) | 1/15 |
| DE-ROLL voglis | 84 (121) | 66 (79) | 66 (95) | 65 (81) | 64 (80) | 60 (77) | 53 (68) | 12/15 |
| DE-SIMPLEX voglis | 89 (131) | 208 (205) | 159 (334) | 157 (138) | 154 (240) | 145 (264) | 196 (228) | 5/15 |
| DEAE posik | 28 (53) | 26 (33) | 19 (40) | 19 (40) | 18 (39) | 17 (33) | 16 (28) | 13/15 |
| DE posik | 33 (64) | 45 (68) | 30 (35) | 30 (37) | 29 (35) | 28 (34) | 25 (38) | 13/15 |
| DEb posik | 33 (64) | 45 (68) | 30 (43) | 30 (52) | 29 (42) | 28 (47) | 25 (30) | 13/15 |
| DEctpb posik | 22 (11) | 139 (194) | 65 (72) | 64 (72) | 63 (86) | 61 (83) | 55 (101) | 8/15 |
| IPOPsaACM loshchilov | 2.6 (4) | 53 (94) | 157 (308) | 155 (303) | 151 (297) | 142 (279) | 126 (247) | 15/15 |
| JADE posik | 7.2 (2) | 33 (62) | 21 (38) | 20 (38) | 20 (36) | 19 (34) | 18 (32) | 13/15 |
| JADEb posik | 20 (34) | 24 (36) | 19 (22) | 18 (22) | 18 (22) | 17 (20) | 15 (18) | 14/15 |
| JADEctpb posik | 7.2 (2) | 33 (62) | 21 (35) | 20 (39) | 20 (37) | 19 (38) | 18 (28) | 13/15 |
| MVDE melo | 29 (17) | 64 (81) | 36 (74) | 44 (59) | 62 (85) | 73 (100) | 81 (105) | 7/15 |
| NBIPOPaCMA loshchilov | 1.9 (4) | 1.5 (1) | 13 (18) | 13 (18) | 12 (18) | 12 (17) | 10 (15) | 15/15 |
| NIPOPaCMA loshchilov | 2.5 (5) | 129 (193) | 135 (138) | 133 (136) | 130 (133) | 123 (126) | 109 (111) | 15/15 |
| PSO-BFGS voglis | 1.7 (1) | 0.64 (0.6) | 0.56 (0.9) | 0.56 (0.9) | 0.55 (0.9) | 0.57 (1) | 96 (133) | 1/15 |
| SNES schaul | 76 (71) | 93 (116) | 70 (84) | 69 (83) | 67 (81) | 63 (76) | 56 (67) | 15/15 |
| xNES schaul | 142 (281) | 112 (168) | 54 (75) | 54 (74) | 53 (72) | 50 (68) | 44 (60) | 15/15 |
| xNESas schaul | 45 (71) | 66 (112) | 37 (50) | 36 (50) | 35 (49) | 33 (46) | 30 (40) | 30/30 |
| Δ fopt f22, 20-D |
1e1 467 |
1e0 5580 |
1e-1 23491 |
1e-2 24163 |
1e-3 24948 |
1e-5 26847 |
1e-7 1.3e5 |
#succ 12/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.4e4 (2e4) | 3585 (3584) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 37 (59) | 260 (240) | 273 (480) | 266 (482) | 257 (412) | 239 (400) | 48 (80) | 13/15 |
| BIPOPsaACM loshchilov | 7.7 (9) | 100 (96) | 178 (320) | 179 (311) | 173 (301) | 168 (274) | 35 (54) | 15/15 |
| CMAES posik | 3.8 (5) | 42 (96) | 142 (127) | 138 (210) | 133 (160) | 124 (144) | 25 (31) | 4/15 |
| CMA brockhoff | 12 (14) | 433 (937) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAa brockhoff | 10 (13) | 232 (504) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAm brockhoff | 7.0 (12) | 188 (268) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAma brockhoff | 6.7 (12) | 235 (556) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAmah brockhoff | 187 (29) | 185 (317) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMAmh brockhoff | 6.9 (8) | 314 (413) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DBRCGA chuang | 100 (258) | 259 (255) | 392 (495) | 383 (331) | 372 (385) | 350 (464) | 70 (85) | 3/15 |
| DE-AUTO voglis | 128 (88) | 234 (231) | 281 (327) | 274 (411) | 265 (381) | 246 (274) | 216 (204) | 0/15 |
| DE-BFGS voglis | 5.7 (13) | 135 (214) | 151 (143) | 146 (137) | 142 (111) | 132 (117) | ∞2e6 | 0/15 |
| DE-ROLL voglis | 68 (139) | 199 (243) | 396 (361) | 385 (207) | 374 (300) | 348 (540) | 221 (223) | 0/15 |
| DE-SIMPLEX voglis | 38 (81) | 338 (642) | 1194 (1023) | 1161 (1388) | 1125 (983) | 1046 (1174) | 208 (252) | 0/15 |
| DEAE posik | 50 (121) | 123 (111) | 616 (660) | 599 (455) | 580 (671) | 539 (903) | 107 (109) | 1/15 |
| DE posik | 23 (10) | 92 (112) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 23 (10) | 92 (109) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 98 (14) | 282 (493) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 175 (98) | 978 (1800) | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| JADE posik | 25 (45) | 261 (358) | 638 (681) | 620 (724) | 601 (902) | 559 (307) | ∞1e6 | 0/15 |
| JADEb posik | 46 (66) | 75 (92) | 143 (145) | 139 (197) | 135 (164) | 126 (125) | 25 (21) | 4/15 |
| JADEctpb posik | 25 (45) | 261 (277) | 638 (543) | 620 (786) | 601 (711) | 559 (521) | ∞1e6 | 0/15 |
| MVDE melo | 40 (28) | 397 (315) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 32 (41) | 17 (16) | 51 (89) | 49 (86) | 48 (84) | 44 (78) | 8.8 (15) | 15/15 |
| NIPOPaCMA loshchilov | 42 (93) | 319 (438) | 861 (798) | 837 (1021) | 811 (814) | 754 (1280) | 150 (206) | 9/15 |
| PSO-BFGS voglis | 1.7 (2) | 3.0 (5) | 10 (13) | 9.3 (13) | 9.0 (13) | 8.6 (12) | 209 (271) | 0/15 |
| SNES schaul | 205 (254) | 227 (281) | 312 (278) | 303 (258) | 294 (335) | 317 (256) | 111 (74) | 4/15 |
| xNES schaul | 104 (171) | 231 (329) | 168 (197) | 163 (192) | 158 (141) | 147 (160) | 29 (29) | 12/15 |
| xNESas schaul | 50 (86) | 132 (213) | 226 (270) | 220 (238) | 213 (206) | 198 (185) | 39 (38) | 22/30 |
| Δ fopt f23, 20-D |
1e1 3.0 |
1e0 1614 |
1e-1 67457 |
1e-2 3.7e5 |
1e-3 4.9e5 |
1e-5 8.1e5 |
1e-7 8.4e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.9 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 5.0 (9) | 43 (44) | 1.2 (1) | 1.2 (0.8) | 1.4 (1) | 0.85 (0.7) | 0.90 (0.6) | 15/15 |
| BIPOPsaACM loshchilov | 3.2 (6) | 21 (13) | 0.61 (0.3)↑1 | 1.1 (0.6) | 1.4 (1) | 1.3 (1) | 1.3 (1) | 15/15 |
| CMAES posik | 3.1 (4) | 571 (574) | 63 (61) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | 3.6 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAa brockhoff | 6.9 (5) | 1.1e4 (9175) | 556 (476) | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAm brockhoff | 4.2 (5) | 1.1e4 (2e4) | 577 (750) | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAma brockhoff | 2.6 (3) | 1.1e4 (2e4) | 255 (441) | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAmah brockhoff | 3.1 (4) | 4163 (5238) | 515 (870) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAmh brockhoff | 3.0 (3) | 4205 (6017) | 519 (360) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DBRCGA chuang | 1.9 (2) | 415 (427) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | 2.4 (3) | 3.8 (3) | 36 (54) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 2.3 (2) | 7.0 (7) | 54 (54) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 2.0 (2) | 15 (14) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 1.8 (1) | 1.3 (0.9)★2 | 36 (58) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | 1.9 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | 2.5 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | 2.5 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | 1.2 (0.7) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 4.6 (6) | 2.9e4 (4e4) | 906 (1213) | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| JADE posik | 2.2 (2) | 131 (68) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEb posik | 1.5 (1) | 673 (431) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | 2.2 (2) | 131 (68) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| MVDE melo | 2.4 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 3.3 (3) | 28 (34) | 0.86 (0.7) | 1.7 (0.5) | 1.4 (0.4) | 0.89 (0.2) | 0.90 (0.2) | 15/15 |
| NIPOPaCMA loshchilov | 4.0 (5) | 142 (65) | 3.9 (2) | 0.85 (0.5) | 0.72 (0.4) | 0.48 (0.2)↑0 | 0.50 (0.2)↑0 | 15/15 |
| PSO-BFGS voglis | 1.7 (2) | 4.7 (4) | 66 (81) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 1.6 (2) | 102 (102) | 261 (225) | ∞ | ∞ | ∞ | ∞7e6 | 0/15 |
| xNES schaul | 2.1 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| xNESas schaul | 1.6 (2) | 9.9e4 (2e5) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/30 |
| Δ fopt f24, 20-D |
1e1 1.3e6 |
1e0 7.5e6 |
1e-1 5.2e7 |
1e-2 5.2e7 |
1e-3 5.2e7 |
1e-5 5.2e7 |
1e-7 5.2e7 |
#succ 3/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.00 (1) | 0.94 (0.9) | 2.8 (3) | 2.8 (3) | 2.8 (2) | 2.8 (4) | 2.8 (2) | 2/15 |
| BIPOPsaACM loshchilov | 0.99 (1) | 0.88 (0.7) | 0.80 (0.8) | 0.80 (1) | 0.80 (0.8) | 0.80 (0.8) | 0.79 (0.7) | 6/15 |
| CMAES posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| CMA brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAa brockhoff | 42 (58) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAm brockhoff | 12 (12) | 3.6 (4) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAma brockhoff | 19 (25) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAmah brockhoff | 42 (50) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAmh brockhoff | 42 (46) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-AUTO voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-BFGS voglis | 4.3 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-ROLL voglis | 4.7 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE-SIMPLEX voglis | 22 (34) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| IPOPsaACM loshchilov | 28 (54) | 38 (34) | ∞ | ∞ | ∞ | ∞ | ∞2e7 | 0/15 |
| JADE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| JADEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.3 (1.0) | 0.35 (0.3)↑1 | 0.61 (0.5) | 0.61 (0.6) | 0.61 (0.9) | 0.61 (0.4) | 0.61 (0.6) | 7/15 |
| NIPOPaCMA loshchilov | 1.6 (2) | 0.42 (0.4)↑1 | 0.35 (0.3) | 0.35 (0.3) | 0.35 (0.3) | 0.35 (0.3) | 0.35 (0.3) | 11/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| SNES schaul | 12 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| xNES schaul | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| xNESas schaul | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/30 |
Previous dimension | Dimension = 40 | First dimension
| Δ fopt f1, 40-D |
1e1 83 |
1e0 83 |
1e-1 83 |
1e-2 83 |
1e-3 83 |
1e-5 83 |
1e-7 83 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 53 (11) | 83 (13) | 114 (14) | 146 (20) | 177 (23) | 235 (18) | 296 (21) | 15/15 |
| BIPOPaCMA loshchilov | 9.4 (1) | 15 (2) | 21 (2) | 27 (2) | 33 (2) | 45 (3) | 58 (2) | 15/15 |
| CMAES posik | 9.4 (1) | 15 (0.8) | 21 (1) | 27 (1) | 33 (2) | 45 (1) | 57 (1) | 15/15 |
| CMA brockhoff | 10 (0.8) | 15 (2) | 21 (1) | 27 (1) | 33 (1) | 45 (1) | 57 (2) | 15/15 |
| CMAa brockhoff | 9.3 (0.8) | 15 (1) | 21 (1) | 27 (1) | 34 (1) | 46 (1) | 58 (2) | 15/15 |
| CMAm brockhoff | 7.1 (0.8) | 11 (0.8) | 16 (1) | 20 (1) | 24 (0.8) | 32 (1) | 41 (2) | 15/15 |
| CMAma brockhoff | 7.3 (0.8) | 11 (0.7) | 16 (0.9) | 20 (1) | 24 (1) | 33 (1) | 41 (1) | 15/15 |
| CMAmah brockhoff | 4.6 (0.5) | 7.3 (0.3) | 10 (0.8) | 13 (1.0) | 16 (0.9) | 21 (1.0) | 27 (1) | 15/15 |
| CMAmh brockhoff | 4.5 (0.5) | 7.4 (0.8) | 10 (0.6) | 13 (0.7) | 16 (0.6) | 21 (1) | 27 (1) | 15/15 |
| DBRCGA chuang | 229 (41) | 420 (42) | 625 (72) | 842 (73) | 1006 (66) | 1386 (60) | 1798 (130) | 15/15 |
| DE-AUTO voglis | 2.6 (0.1) | 2.6 (0.1) | 2.6 (0.1) | 2.6 (0.1) | 2.6 (0.1) | 2.6 (0.1) | 2.6 (0.1) | 15/15 |
| DE-BFGS voglis | 1.5 (0.2) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 15/15 |
| DE-ROLL voglis | 18 (17) | 53 (60) | 54 (61) | 54 (61) | 54 (61) | 54 (61) | 54 (61) | 15/15 |
| DE-SIMPLEX voglis | 152 (73) | 242 (81) | 319 (106) | 371 (93) | 431 (107) | 547 (104) | 1381 (772) | 15/15 |
| DEAE posik | 228 (31) | 378 (43) | 525 (42) | 686 (55) | 848 (42) | 1167 (62) | 1490 (71) | 15/15 |
| DE posik | 253 (23) | 425 (39) | 600 (52) | 775 (70) | 946 (69) | 1282 (63) | 1623 (87) | 15/15 |
| DEb posik | 253 (23) | 425 (39) | 600 (52) | 775 (70) | 946 (69) | 1282 (63) | 1623 (87) | 15/15 |
| DEctpb posik | 259 (27) | 448 (25) | 632 (29) | 825 (46) | 1013 (46) | 1401 (86) | 1777 (101) | 15/15 |
| JADE posik | 94 (4) | 152 (7) | 211 (7) | 267 (8) | 326 (7) | 439 (8) | 553 (10) | 15/15 |
| JADEb posik | 72 (5) | 127 (6) | 182 (7) | 239 (11) | 295 (11) | 410 (17) | 524 (13) | 15/15 |
| JADEctpb posik | 94 (4) | 152 (7) | 211 (7) | 267 (8) | 326 (7) | 439 (8) | 553 (10) | 15/15 |
| MVDE melo | 329 (23) | 568 (20) | 815 (18) | 1058 (13) | 1301 (18) | 1792 (19) | 2277 (32) | 15/15 |
| NBIPOPaCMA loshchilov | 9.5 (1) | 15 (1) | 22 (1) | 28 (1) | 34 (0.9) | 46 (2) | 58 (1) | 15/15 |
| NIPOPaCMA loshchilov | 10 (0.8) | 15 (1) | 21 (1.0) | 28 (1) | 34 (1) | 46 (2) | 58 (1) | 15/15 |
| PSO-BFGS voglis | 1.4 (0.2) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 1.6 (0) | 15/15 |
| Δ fopt f2, 40-D |
1e1 796 |
1e0 797 |
1e-1 799 |
1e-2 799 |
1e-3 800 |
1e-5 802 |
1e-7 804 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 17 (2) | 20 (3) | 23 (3) | 26 (4) | 30 (4) | 36 (4) | 43 (4) | 15/15 |
| BIPOPaCMA loshchilov | 38 (3) | 45 (3) | 49 (3) | 52 (4) | 55 (3) | 57 (2) | 59 (2) | 15/15 |
| CMAES posik | 59 (3) | 69 (5) | 77 (6) | 82 (5) | 86 (3) | 89 (1) | 90 (1) | 15/15 |
| CMA brockhoff | 59 (7) | 69 (7) | 76 (6) | 81 (5) | 85 (4) | 89 (3) | 90 (3) | 15/15 |
| CMAa brockhoff | 38 (5) | 44 (5) | 48 (5) | 53 (4) | 55 (3) | 57 (2) | 59 (2) | 15/15 |
| CMAm brockhoff | 59 (5) | 69 (4) | 74 (4) | 79 (4) | 83 (4) | 85 (4) | 88 (2) | 15/15 |
| CMAma brockhoff | 36 (4) | 41 (5) | 46 (3) | 49 (3) | 51 (3) | 54 (1) | 55 (2) | 15/15 |
| CMAmah brockhoff | 35 (4) | 42 (5) | 47 (5) | 51 (4) | 52 (3) | 55 (2) | 56 (2) | 15/15 |
| CMAmh brockhoff | 49 (6) | 58 (6) | 64 (5) | 68 (4) | 71 (3) | 73 (2) | 74 (2) | 15/15 |
| DBRCGA chuang | 95 (13) | 113 (9) | 138 (17) | 153 (10) | 179 (12) | 216 (10) | 264 (8) | 15/15 |
| DE-AUTO voglis | 1.9 (0.8)★3 | 2.1 (0.9)★3 | 2.3 (0.9)★2 | 2.4 (0.8)★2 | 2.5 (0.9)★2 | 3.3 (0.5)★2 | 3.8 (0.7)★3 | 15/15 |
| DE-BFGS voglis | 35 (10) | 46 (12) | 55 (17) | 63 (16) | 71 (16) | 90 (18) | 1295 (2462) | 3/15 |
| DE-ROLL voglis | 20 (18) | 21 (18) | 21 (18) | 21 (18) | 21 (18) | 22 (17) | 26 (17) | 15/15 |
| DE-SIMPLEX voglis | 91 (12) | 102 (17) | 109 (19) | 115 (22) | 122 (16) | 134 (14) | 7.4e4 (9e4) | 0/15 |
| DEAE posik | 191 (24) | 218 (17) | 236 (14) | 253 (14) | 270 (16) | 303 (19) | 336 (17) | 15/15 |
| DE posik | 92 (10) | 110 (10) | 129 (12) | 147 (10) | 166 (10) | 201 (10) | 237 (11) | 15/15 |
| DEb posik | 92 (10) | 110 (10) | 129 (12) | 147 (10) | 166 (10) | 201 (10) | 237 (11) | 15/15 |
| DEctpb posik | 104 (8) | 124 (8) | 143 (6) | 163 (7) | 182 (8) | 221 (8) | 259 (9) | 15/15 |
| JADE posik | 37 (1) | 43 (2) | 49 (2) | 55 (2) | 61 (2) | 73 (3) | 84 (4) | 15/15 |
| JADEb posik | 32 (2) | 38 (2) | 44 (2) | 50 (3) | 56 (3) | 68 (3) | 80 (3) | 15/15 |
| JADEctpb posik | 37 (1) | 43 (2) | 49 (2) | 55 (2) | 61 (2) | 73 (3) | 84 (4) | 15/15 |
| MVDE melo | 124 (2) | 149 (3) | 174 (3) | 199 (2) | 225 (4) | 275 (3) | 325 (4) | 15/15 |
| NBIPOPaCMA loshchilov | 37 (3) | 43 (4) | 47 (5) | 51 (5) | 53 (4) | 57 (2) | 59 (2) | 15/15 |
| NIPOPaCMA loshchilov | 37 (4) | 43 (4) | 48 (4) | 51 (4) | 53 (3) | 57 (2) | 58 (1) | 15/15 |
| PSO-BFGS voglis | 86 (13) | 101 (15) | 115 (19) | 132 (21) | 156 (25) | 188 (13) | 2187 (2489) | 3/15 |
| Δ fopt f3, 40-D |
1e1 15526 |
1e0 15602 |
1e-1 15612 |
1e-2 15641 |
1e-3 15646 |
1e-5 15651 |
1e-7 15656 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 2395 (3011) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| CMAES posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 5301 (4819) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAa brockhoff | 5158 (6274) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAm brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAma brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAmah brockhoff | 4723 (6051) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| CMAmh brockhoff | 2268 (2143) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 886 (1174) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 486 (475) | 3823 (3592) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 110 (106) | 1847 (1989) | 3774 (4680) | 3767 (3839) | 3766 (3454) | 3764 (3581) | 3763 (3644) | 1/15 |
| DE-SIMPLEX voglis | 282 (204) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 10 (0.4) | 13 (0.2) | 15 (0.2) | 16 (0.2) | 17 (0.2) | 20 (0.2) | 22 (0.2) | 15/15 |
| JADEb posik | 13 (14) | 44 (52) | 114 (122) | 115 (77) | 116 (135) | 119 (180) | 121 (192) | 10/15 |
| JADEctpb posik | 10 (0.4) | 13 (0.2) | 15 (0.2) | 16 (0.2) | 17 (0.2) | 20 (0.2) | 22 (0.2) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 8178 (8271) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| NIPOPaCMA loshchilov | 4615 (6980) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f4, 40-D |
1e1 15536 |
1e0 15601 |
1e-1 15659 |
1e-2 15678 |
1e-3 15703 |
1e-5 15733 |
1e-7 2.8e5 |
#succ 6/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| CMAES posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAa brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| CMAm brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAma brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞6e6 | 0/15 |
| CMAmah brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| CMAmh brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e6 | 0/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 464 (389) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 12 (0.3) | 16 (0.3) | 18 (0.3) | 19 (0.2) | 21 (0.2) | 24 (0.2) | 1.5 (0.0) | 15/15 |
| JADEb posik | 605 (572) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 12 (0.3) | 16 (0.3) | 18 (0.3) | 19 (0.2) | 21 (0.2) | 24 (0.2) | 1.5 (0.0) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| NIPOPaCMA loshchilov | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f5, 40-D |
1e1 98 |
1e0 116 |
1e-1 120 |
1e-2 121 |
1e-3 121 |
1e-5 121 |
1e-7 121 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 11 (2) | 12 (2) | 12 (2) | 12 (2) | 12 (2) | 12 (2) | 12 (2) | 15/15 |
| BIPOPaCMA loshchilov | 4.7 (0.7) | 4.4 (0.8) | 4.4 (0.7) | 4.4 (0.6) | 4.4 (0.6) | 4.4 (0.6) | 4.4 (0.6) | 15/15 |
| CMAES posik | 4.5 (0.4) | 4.5 (0.5) | 4.5 (0.4) | 4.5 (0.4) | 4.5 (0.4) | 4.5 (0.4) | 4.5 (0.4) | 15/15 |
| CMA brockhoff | 4.5 (0.5) | 4.3 (0.6) | 4.3 (0.5) | 4.2 (0.5) | 4.2 (0.5) | 4.2 (0.5) | 4.2 (0.5) | 15/15 |
| CMAa brockhoff | 4.7 (1.0) | 4.6 (0.7) | 4.5 (0.7) | 4.5 (0.7) | 4.5 (0.7) | 4.5 (0.7) | 4.5 (0.7) | 15/15 |
| CMAm brockhoff | 4.3 (0.4) | 4.2 (0.3) | 4.0 (0.3) | 4.0 (0.3) | 4.0 (0.3) | 4.0 (0.3) | 4.0 (0.3) | 15/15 |
| CMAma brockhoff | 4.0 (0.7) | 4.1 (0.6) | 4.0 (0.5) | 4.0 (0.5) | 4.0 (0.5) | 4.0 (0.5) | 4.0 (0.5) | 15/15 |
| CMAmah brockhoff | 2.7 (0.4) | 2.7 (0.4) | 2.7 (0.6) | 2.7 (0.5) | 2.7 (0.5) | 2.7 (0.5) | 2.7 (0.5) | 15/15 |
| CMAmh brockhoff | 2.8 (0.5) | 2.8 (0.7) | 2.7 (0.7) | 2.7 (0.7) | 2.7 (0.7) | 2.7 (0.7) | 2.7 (0.7) | 15/15 |
| DBRCGA chuang | 184 (49) | 208 (66) | 244 (93) | 273 (128) | 299 (167) | 342 (231) | 378 (309) | 15/15 |
| DE-AUTO voglis | 2.1 (0.1) | 1.8 (0.1) | 1.7 (0.1) | 1.7 (0.1) | 1.7 (0.1) | 1.7 (0.1) | 1.7 (0.1) | 15/15 |
| DE-BFGS voglis | 49 (36) | 52 (37) | 53 (40) | 53 (40) | 53 (40) | 56 (40) | 56 (40) | 15/15 |
| DE-ROLL voglis | 8.3 (8) | 7.1 (7) | 7.0 (7) | 7.1 (7) | 7.5 (8) | 8.1 (9) | 8.8 (10) | 15/15 |
| DE-SIMPLEX voglis | 841 (189) | 1330 (262) | 4385 (1516) | 4878 (1572) | 5458 (1741) | 6146 (2140) | 1.1e5 (1e5) | 2/15 |
| DEAE posik | 50 (19) | 47 (21) | 45 (20) | 45 (20) | 45 (20) | 45 (20) | 45 (20) | 15/15 |
| DE posik | 43 (7) | 46 (10) | 45 (9) | 45 (9) | 45 (9) | 45 (9) | 45 (9) | 15/15 |
| DEb posik | 43 (7) | 46 (10) | 45 (9) | 45 (9) | 45 (9) | 45 (9) | 45 (9) | 15/15 |
| DEctpb posik | 59 (7) | 57 (7) | 56 (8) | 56 (8) | 56 (8) | 56 (8) | 56 (8) | 15/15 |
| JADE posik | 62 (7) | 62 (7) | 62 (7) | 62 (4) | 62 (4) | 62 (4) | 62 (4) | 15/15 |
| JADEb posik | 39 (4) | 39 (4) | 40 (6) | 40 (5) | 40 (5) | 40 (5) | 40 (5) | 15/15 |
| JADEctpb posik | 62 (7) | 62 (7) | 62 (7) | 62 (4) | 62 (4) | 62 (4) | 62 (4) | 15/15 |
| MVDE melo | 336 (17) | 415 (18) | 524 (27) | 635 (30) | 750 (38) | 977 (53) | 1202 (40) | 15/15 |
| NBIPOPaCMA loshchilov | 4.6 (0.9) | 4.5 (0.8) | 4.4 (0.7) | 4.4 (0.7) | 4.4 (0.7) | 4.4 (0.7) | 4.4 (0.7) | 15/15 |
| NIPOPaCMA loshchilov | 4.9 (0.8) | 4.6 (0.8) | 4.5 (0.8) | 4.4 (0.8) | 4.4 (0.8) | 4.4 (0.8) | 4.4 (0.8) | 15/15 |
| PSO-BFGS voglis | 77 (74) | 94 (78) | 93 (75) | 102 (81) | 103 (81) | 103 (81) | 106 (81) | 15/15 |
| Δ fopt f6, 40-D |
1e1 3507 |
1e0 5523 |
1e-1 7168 |
1e-2 9470 |
1e-3 11538 |
1e-5 15007 |
1e-7 19222 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 14 (3) | 13 (2) | 13 (1) | 12 (1) | 12 (1) | 12 (1) | 12 (1) | 15/15 |
| BIPOPaCMA loshchilov | 1.6 (0.2) | 1.5 (0.3) | 1.4 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 1.3 (0.1) | 1.3 (0.1) | 15/15 |
| CMAES posik | 1.6 (0.3) | 1.5 (0.2) | 1.5 (0.2) | 1.4 (0.2) | 1.3 (0.1) | 1.4 (0.1) | 1.4 (0.1) | 15/15 |
| CMA brockhoff | 1.6 (0.2) | 1.4 (0.2) | 1.4 (0.2) | 1.3 (0.2) | 1.3 (0.1) | 1.4 (0.1) | 1.3 (0.1) | 15/15 |
| CMAa brockhoff | 1.6 (0.2) | 1.4 (0.2) | 1.4 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 15/15 |
| CMAm brockhoff | 1.5 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 1.3 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 15/15 |
| CMAma brockhoff | 1.5 (0.2) | 1.3 (0.2) | 1.3 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| CMAmah brockhoff | 1.2 (0.2) | 1.2 (0.3) | 1.3 (0.3) | 1.3 (0.3) | 1.3 (0.3) | 1.5 (0.3) | 1.6 (0.2) | 15/15 |
| CMAmh brockhoff | 1.4 (0.3) | 1.4 (0.3) | 1.5 (0.3) | 1.5 (0.3) | 1.6 (0.3) | 1.9 (0.4) | 2.2 (0.5) | 15/15 |
| DBRCGA chuang | 44 (16) | 55 (25) | 63 (24) | 67 (21) | 72 (18) | 79 (21) | 79 (16) | 15/15 |
| DE-AUTO voglis | 6.5 (5) | 8.9 (3) | 13 (5) | 14 (6) | 22 (5) | 37 (15) | 479 (520) | 0/15 |
| DE-BFGS voglis | 62 (65) | 84 (101) | 316 (479) | 404 (637) | 341 (607) | 278 (269) | ∞4e6 | 0/15 |
| DE-ROLL voglis | 17 (12) | 25 (14) | 51 (30) | 136 (115) | 348 (418) | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 36 (11) | 43 (10) | 52 (27) | 143 (219) | 424 (554) | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 75 (9) | 67 (8) | 67 (7) | 62 (5) | 61 (4) | 61 (4) | 75 (52) | 10/15 |
| DE posik | 264 (58) | 258 (41) | 433 (218) | 3153 (1426) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 264 (58) | 258 (41) | 433 (158) | 3153 (2851) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 80 (6) | 70 (4) | 68 (3) | 63 (2) | 61 (2) | 61 (2) | 178 (183) | 5/15 |
| JADE posik | 13 (0.7) | 13 (0.8) | 13 (0.7) | 13 (0.6) | 12 (0.8) | 12 (1) | 12 (0.8) | 15/15 |
| JADEb posik | 456 (394) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 13 (0.7) | 13 (0.8) | 13 (0.7) | 13 (0.6) | 12 (0.8) | 12 (1) | 12 (0.8) | 15/15 |
| MVDE melo | 70 (7) | 67 (10) | 70 (7) | 68 (7) | 69 (7) | 498 (717) | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.5 (0.2) | 1.4 (0.2) | 1.3 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 15/15 |
| NIPOPaCMA loshchilov | 1.6 (0.3) | 1.4 (0.2) | 1.4 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 1.2 (0.1) | 15/15 |
| PSO-BFGS voglis | 406 (572) | 297 (374) | 234 (281) | 393 (636) | 330 (440) | 274 (344) | ∞4e6 | 0/15 |
| Δ fopt f7, 40-D |
1e1 10698 |
1e0 17839 |
1e-1 41037 |
1e-2 66294 |
1e-3 66294 |
1e-5 66294 |
1e-7 68145 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1204 (2599) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.2 (0.9) | 4.5 (2) | 2.4 (0.9) | 1.5 (0.6) | 1.5 (0.6) | 1.5 (0.6) | 1.5 (0.6) | 15/15 |
| CMAES posik | 8.5 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 1.6 (0.8) | 4.7 (2) | 2.6 (2) | 1.7 (1.0) | 1.7 (1) | 1.7 (1) | 1.6 (1.0) | 15/15 |
| CMAa brockhoff | 1.2 (0.6) | 3.2 (1) | 1.6 (0.5) | 1.0 (0.3) | 1.0 (0.3) | 1.0 (0.3) | 1.0 (0.3) | 15/15 |
| CMAm brockhoff | 1.5 (0.7) | 4.8 (1) | 2.4 (0.2) | 1.6 (0.1) | 1.6 (0.1) | 1.6 (0.1) | 1.5 (0.1) | 15/15 |
| CMAma brockhoff | 1.1 (0.5) | 2.8 (1) | 1.5 (0.5) | 0.95 (0.3) | 0.95 (0.3) | 0.95 (0.3) | 0.93 (0.3) | 15/15 |
| CMAmah brockhoff | 1.7 (0.6) | 3.3 (1) | 1.7 (0.5) | 1.1 (0.3) | 1.1 (0.3) | 1.1 (0.3) | 1.1 (0.3) | 15/15 |
| CMAmh brockhoff | 2.0 (0.6) | 5.2 (0.4) | 2.5 (0.2) | 1.6 (0.1) | 1.6 (0.1) | 1.6 (0.1) | 1.6 (0.1) | 15/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 211 (263) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 287 (395) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 4.5 (1) | 104 (113) | 137 (171) | 87 (106) | 87 (121) | 87 (76) | 84 (103) | 4/15 |
| DE posik | 37 (15) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 37 (15) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 30 (6) | 198 (278) | 341 (546) | 215 (141) | 215 (353) | 215 (202) | 210 (247) | 2/15 |
| JADE posik | 219 (280) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 219 (188) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 29 (10) | 825 (716) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.2 (0.9) | 3.2 (0.7) | 1.8 (0.6) | 1.2 (0.4) | 1.2 (0.4) | 1.2 (0.4) | 1.1 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 0.89 (0.8) | 3.2 (1.0) | 1.9 (0.5) | 1.2 (0.3) | 1.2 (0.3) | 1.2 (0.3) | 1.2 (0.3) | 15/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f8, 40-D |
1e1 7080 |
1e0 10655 |
1e-1 11012 |
1e-2 11265 |
1e-3 11430 |
1e-5 11701 |
1e-7 11969 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 48 (34) | 382 (488) | 375 (694) | 375 (466) | 379 (669) | 389 (864) | 399 (437) | 11/15 |
| BIPOPaCMA loshchilov | 5.5 (0.6) | 6.1 (4) | 6.3 (4) | 6.3 (4) | 6.3 (4) | 6.2 (3) | 6.2 (3) | 15/15 |
| CMAES posik | 7.3 (0.9) | 6.6 (0.6) | 6.8 (0.6) | 6.8 (0.6) | 6.8 (0.6) | 6.8 (0.6) | 6.8 (0.5) | 15/15 |
| CMA brockhoff | 7.0 (0.4) | 6.4 (0.3) | 6.6 (0.3) | 6.6 (0.3) | 6.6 (0.2) | 6.6 (0.2) | 6.6 (0.2) | 15/15 |
| CMAa brockhoff | 5.4 (0.5) | 4.6 (0.3) | 4.8 (0.3) | 4.8 (0.3) | 4.8 (0.3) | 4.8 (0.3) | 4.8 (0.3) | 15/15 |
| CMAm brockhoff | 7.1 (1) | 7.5 (5) | 7.6 (5) | 7.6 (4) | 7.6 (4) | 7.6 (4) | 7.6 (4) | 15/15 |
| CMAma brockhoff | 5.1 (0.3) | 4.9 (0.4) | 5.0 (0.4) | 5.0 (0.4) | 5.0 (0.4) | 5.0 (0.3) | 5.0 (0.3) | 15/15 |
| CMAmah brockhoff | 4.2 (0.8)★ | 4.3 (3) | 4.4 (3) | 4.4 (3) | 4.4 (3) | 4.4 (3) | 4.4 (3) | 15/15 |
| CMAmh brockhoff | 5.2 (1) | 5.2 (2) | 5.3 (2) | 5.3 (2) | 5.4 (2) | 5.4 (2) | 5.4 (2) | 15/15 |
| DBRCGA chuang | 73 (55) | 175 (196) | 181 (188) | 190 (196) | 199 (187) | 219 (180) | 280 (348) | 10/15 |
| DE-AUTO voglis | 11 (3) | 11 (2) | 11 (3) | 11 (3) | 12 (3) | 12 (3) | 37 (47) | 14/15 |
| DE-BFGS voglis | 10 (3) | 31 (49) | 30 (47) | 30 (46) | 30 (46) | 30 (44) | 31 (43) | 14/15 |
| DE-ROLL voglis | 31 (19) | 40 (35) | 43 (33) | 44 (33) | 45 (34) | 46 (29) | 159 (116) | 11/15 |
| DE-SIMPLEX voglis | 23 (21) | 65 (100) | 66 (96) | 66 (94) | 67 (93) | 69 (90) | ∞4e6 | 0/15 |
| DEAE posik | 57 (4) | 52 (2) | 53 (2) | 54 (2) | 54 (2) | 55 (2) | 56 (2) | 15/15 |
| DE posik | 172 (7) | 174 (7) | 200 (96) | 661 (754) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 172 (7) | 174 (7) | 200 (96) | 661 (622) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 148 (5) | 136 (5) | 143 (5) | 152 (6) | 160 (7) | 1277 (1239) | ∞2e6 | 0/15 |
| JADE posik | 32 (1) | 27 (0.8) | 28 (0.7) | 28 (0.7) | 28 (0.8) | 29 (0.9) | 30 (1) | 15/15 |
| JADEb posik | 22 (8) | 31 (22) | 31 (21) | 32 (21) | 32 (20) | 33 (20) | 35 (19) | 15/15 |
| JADEctpb posik | 32 (1) | 27 (0.8) | 28 (0.7) | 28 (0.7) | 28 (0.8) | 29 (0.9) | 30 (1) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 5.5 (0.7) | 6.5 (4) | 6.6 (4) | 6.6 (3) | 6.6 (3) | 6.6 (3) | 6.6 (3) | 15/15 |
| NIPOPaCMA loshchilov | 5.5 (0.4) | 7.8 (8) | 7.9 (8) | 7.9 (8) | 7.8 (8) | 7.8 (8) | 7.8 (8) | 15/15 |
| PSO-BFGS voglis | 13 (4) | 42 (7) | 41 (7) | 41 (6) | 41 (6) | 41 (9) | 41 (15) | 14/15 |
| Δ fopt f9, 40-D |
1e1 6122 |
1e0 12982 |
1e-1 13300 |
1e-2 13496 |
1e-3 13651 |
1e-5 13909 |
1e-7 14142 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 187 (13) | 254 (387) | 295 (376) | 359 (373) | 433 (366) | 589 (366) | 798 (364) | 5/15 |
| BIPOPaCMA loshchilov | 6.0 (0.8) | 4.5 (3) | 4.6 (3) | 4.7 (3) | 4.7 (3) | 4.7 (3) | 4.7 (3) | 15/15 |
| CMAES posik | 8.5 (0.9) | 5.8 (0.5) | 6.0 (0.4) | 6.0 (0.5) | 6.1 (0.4) | 6.1 (0.4) | 6.1 (0.4) | 15/15 |
| CMA brockhoff | 8.2 (1) | 6.2 (4) | 6.4 (4) | 6.5 (4) | 6.5 (4) | 6.5 (4) | 6.5 (4) | 15/15 |
| CMAa brockhoff | 6.3 (0.6) | 4.8 (0.3) | 5.0 (0.3) | 5.0 (0.3) | 5.0 (0.3) | 5.0 (0.3) | 5.0 (0.2) | 15/15 |
| CMAm brockhoff | 8.2 (1) | 6.3 (4) | 6.4 (4) | 6.5 (4) | 6.5 (4) | 6.5 (4) | 6.5 (4) | 15/15 |
| CMAma brockhoff | 5.8 (0.5) | 4.3 (3) | 4.4 (3) | 4.5 (3) | 4.5 (3) | 4.5 (3) | 4.5 (3) | 15/15 |
| CMAmah brockhoff | 4.7 (0.7) | 4.0 (2) | 4.2 (2) | 4.2 (2) | 4.2 (2) | 4.2 (2) | 4.2 (2) | 15/15 |
| CMAmh brockhoff | 6.1 (2) | 5.4 (4) | 5.5 (4) | 5.6 (4) | 5.6 (4) | 5.6 (3) | 5.6 (3) | 15/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 14 (5) | 11 (3) | 11 (4) | 12 (4) | 12 (4) | 13 (4) | 37 (46) | 11/15 |
| DE-BFGS voglis | 16 (5) | 19 (11) | 19 (10) | 20 (10) | 20 (10) | 20 (9) | 41 (48) | 13/15 |
| DE-ROLL voglis | 58 (10) | 43 (7) | 48 (7) | 50 (8) | 51 (8) | 68 (26) | 1255 (1761) | 0/15 |
| DE-SIMPLEX voglis | 78 (18) | 164 (171) | 166 (171) | 168 (170) | 170 (241) | 177 (160) | ∞4e6 | 0/15 |
| DEAE posik | 66 (4) | 43 (2) | 44 (2) | 45 (2) | 46 (2) | 47 (2) | 48 (2) | 15/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 100 (6) | 60 (3) | 62 (3) | 63 (3) | 63 (3) | 64 (3) | 64 (3) | 15/15 |
| JADEb posik | 123 (16) | 146 (83) | 163 (87) | 250 (151) | 291 (225) | 525 (578) | 2114 (2546) | 0/15 |
| JADEctpb posik | 100 (6) | 60 (3) | 62 (3) | 63 (3) | 63 (3) | 64 (3) | 64 (3) | 15/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 6.3 (0.7) | 4.6 (3) | 4.8 (3) | 4.8 (3) | 4.8 (3) | 4.9 (3) | 4.9 (3) | 15/15 |
| NIPOPaCMA loshchilov | 6.3 (0.8) | 5.0 (3) | 5.1 (3) | 5.2 (3) | 5.2 (3) | 5.2 (3) | 5.2 (3) | 15/15 |
| PSO-BFGS voglis | 19 (15) | 20 (18) | 21 (16) | 21 (16) | 22 (16) | 22 (15) | 43 (31) | 14/15 |
| Δ fopt f10, 40-D |
1e1 25536 |
1e0 29762 |
1e-1 35676 |
1e-2 51579 |
1e-3 56007 |
1e-5 65128 |
1e-7 70824 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 0.78 (0.1)↑0 | 0.77 (0.0)↑0 | 0.70 (0.0)↑0 | 0.66 (0.0)↑0 | 15/15 |
| CMAES posik | 1.9 (0.2) | 1.9 (0.2) | 1.7 (0.1) | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.0) | 1.0 (0.0) | 15/15 |
| CMA brockhoff | 1.9 (0.2) | 1.9 (0.2) | 1.7 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.0) | 1.0 (0.0) | 15/15 |
| CMAa brockhoff | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 0.81 (0.0)↑0 | 0.79 (0.0)↑0 | 0.71 (0.0)↑0 | 0.67 (0.0)↑0 | 15/15 |
| CMAm brockhoff | 1.8 (0.2) | 1.8 (0.2) | 1.7 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.0) | 0.99 (0.0) | 15/15 |
| CMAma brockhoff | 1.1 (0.1) | 1.1 (0.1) | 1.0 (0.0) | 0.75 (0.0)↑0 | 0.73 (0.0)↑0 | 0.66 (0.0)↑0 | 0.62 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 1.1 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 0.79 (0.0)↑0 | 0.76 (0.0)↑0 | 0.67 (0.0)↑0 | 0.63 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 1.5 (0.2) | 1.6 (0.1) | 1.5 (0.1) | 1.1 (0.1) | 1.0 (0.0) | 0.91 (0.0)↑0 | 0.84 (0.0)↑0 | 15/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 137 (93) | 2002 (1951) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 33 (47) | 40 (39) | 64 (75) | 58 (82) | 65 (95) | 57 (67) | 187 (228) | 0/15 |
| DE-ROLL voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 6.1 (0.9) | 5.8 (0.6) | 5.3 (0.5) | 3.9 (0.3) | 3.8 (0.3) | 3.7 (0.2) | 3.8 (0.2) | 15/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 47 (9) | 99 (91) | 275 (267) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 65 (37) | 159 (121) | 839 (1121) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 47 (9) | 99 (124) | 275 (292) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 0.79 (0.0)↑0 | 0.77 (0.0)↑0 | 0.71 (0.0)↑0 | 0.67 (0.0)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 1.2 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 0.79 (0.0)↑0 | 0.77 (0.0)↑0 | 0.70 (0.0)↑0 | 0.67 (0.0)↑0 | 15/15 |
| PSO-BFGS voglis | 114 (129) | 192 (383) | 160 (187) | 111 (128) | 103 (128) | 89 (77) | 837 (918) | 0/15 |
| Δ fopt f11, 40-D |
1e1 2368 |
1e0 4855 |
1e-1 11681 |
1e-2 25315 |
1e-3 29749 |
1e-5 38949 |
1e-7 48211 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 7811 (8891) | 2.9e4 (4e4) | 1.2e4 (1e4) | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 5.0 (0.3) | 2.6 (0.1) | 1.2 (0.0) | 0.57 (0.0)↑0 | 0.51 (0.0)↑0 | 0.42 (0.0)↑0 | 0.37 (1e-2)↑0 | 15/15 |
| CMAES posik | 16 (3) | 8.2 (2) | 3.6 (0.8) | 1.7 (0.3) | 1.5 (0.3) | 1.2 (0.2) | 1.0 (0.2) | 15/15 |
| CMA brockhoff | 15 (2) | 7.8 (1) | 3.4 (0.4) | 1.7 (0.2) | 1.5 (0.2) | 1.2 (0.1) | 1.00 (0.1) | 15/15 |
| CMAa brockhoff | 5.0 (0.2) | 2.7 (0.1) | 1.2 (0.0) | 0.57 (0.0)↑0 | 0.51 (0.0)↑0 | 0.42 (9e-3)↑0 | 0.37 (6e-3)↑0 | 15/15 |
| CMAm brockhoff | 16 (5) | 8.6 (2) | 3.7 (0.9) | 1.8 (0.4) | 1.6 (0.4) | 1.3 (0.3) | 1.1 (0.3) | 15/15 |
| CMAma brockhoff | 4.6 (0.3) | 2.4 (0.1) | 1.1 (0.0) | 0.52 (0.0)↑0 | 0.46 (0.0)↑0 | 0.38 (0.0)↑0 | 0.33 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 5.4 (0.3) | 2.8 (0.1) | 1.2 (0.1) | 0.59 (0.0)↑0 | 0.52 (0.0)↑0 | 0.43 (0.0)↑0 | 0.36 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 17 (2) | 8.9 (0.9) | 3.9 (0.4) | 1.9 (0.2) | 1.7 (0.1) | 1.3 (0.1) | 1.1 (0.1) | 15/15 |
| DBRCGA chuang | 597 (135) | 443 (22) | 228 (9) | 122 (3) | 112 (2) | 96 (1) | ∞4e6 | 0/15 |
| DE-AUTO voglis | 0.17 (0.0)↑0 | 0.10 (1e-2)↑0 | 0.05 (6e-3)↑0 | 0.03 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (6e-3)↑0 | 0.07 (0.1)↑0 | 15/15 |
| DE-BFGS voglis | 0.19 (0.2)↑0 | 0.11 (0.1)↑0 | 0.05 (0.0)↑0 | 0.03 (0.0)↑0 | 0.03 (0.0)↑0 | 0.03 (0.0)↑0 | 0.03 (9e-3)↑0 | 13/15 |
| DE-ROLL voglis | 8090 (7115) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 914 (506) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 19 (5) | 13 (3) | 6.4 (1) | 3.5 (0.6) | 3.4 (0.5) | 3.3 (0.3) | 3.2 (0.2) | 15/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 247 (428) | 131 (212) | 59 (88) | 30 (41) | 27 (35) | 24 (26) | 22 (21) | 12/15 |
| JADEb posik | 470 (441) | 243 (213) | 107 (88) | 53 (43) | 47 (68) | 40 (27) | 35 (22) | 10/15 |
| JADEctpb posik | 247 (424) | 131 (209) | 59 (89) | 30 (42) | 27 (35) | 24 (26) | 22 (22) | 12/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 5.0 (0.2) | 2.7 (0.1) | 1.2 (0.0) | 0.58 (0.0)↑0 | 0.51 (0.0)↑0 | 0.43 (8e-3)↑0 | 0.37 (7e-3)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 5.0 (0.2) | 2.7 (0.1) | 1.2 (0.0) | 0.57 (0.0)↑0 | 0.51 (9e-3)↑0 | 0.42 (9e-3)↑0 | 0.37 (9e-3)↑0 | 15/15 |
| PSO-BFGS voglis | 0.35 (0.5) | 0.19 (0.2)↑0 | 0.09 (0.1)↑0 | 0.04 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (0.0)↑0 | 0.04 (0.0)↑0 | 12/15 |
| Δ fopt f12, 40-D |
1e1 4169 |
1e0 7452 |
1e-1 9174 |
1e-2 10751 |
1e-3 13146 |
1e-5 22758 |
1e-7 25192 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2104 (3598) | 8726 (1e4) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.9 (1) | 1.9 (1) | 2.2 (1) | 2.2 (0.9) | 2.1 (0.7) | 1.5 (0.4) | 1.5 (0.4) | 15/15 |
| CMAES posik | 2.0 (2) | 2.3 (2) | 2.6 (2) | 2.6 (1) | 2.6 (1) | 1.9 (0.7) | 2.0 (0.6) | 15/15 |
| CMA brockhoff | 1.4 (1) | 1.7 (2) | 2.4 (1) | 2.4 (1) | 2.4 (1) | 1.8 (0.6) | 1.9 (0.6) | 15/15 |
| CMAa brockhoff | 2.3 (1) | 2.0 (1) | 2.2 (1) | 2.2 (1) | 2.1 (0.9) | 1.5 (0.5) | 1.5 (0.5) | 15/15 |
| CMAm brockhoff | 1.8 (1) | 2.2 (2) | 2.5 (2) | 2.6 (2) | 2.5 (2) | 1.9 (1.0) | 2.0 (0.9) | 15/15 |
| CMAma brockhoff | 1.3 (1) | 1.9 (0.6) | 2.1 (0.6) | 2.1 (0.5) | 1.9 (0.5) | 1.4 (0.3) | 1.4 (0.3) | 15/15 |
| CMAmah brockhoff | 0.94 (1) | 1.2 (0.9) | 1.4 (0.5) | 1.5 (0.4) | 1.4 (0.3) | 1.0 (0.2)★ | 1.1 (0.2)★ | 15/15 |
| CMAmh brockhoff | 1.4 (2) | 1.8 (2) | 2.3 (2) | 2.4 (2) | 2.4 (2) | 1.9 (1) | 2.0 (1) | 15/15 |
| DBRCGA chuang | 271 (482) | 1093 (1073) | 890 (1418) | 5224 (5953) | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 1.3 (2) | 1.2 (1) | 1.3 (1) | 1.8 (2) | 4.3 (4) | 7.1 (6) | 54 (80) | 7/15 |
| DE-BFGS voglis | 3.6 (2) | 2.6 (1) | 2.8 (2) | 3.4 (1) | 8.4 (8) | 107 (140) | ∞4e6 | 0/15 |
| DE-ROLL voglis | 21 (46) | 13 (26) | 13 (23) | 13 (19) | 12 (15) | 22 (19) | 132 (158) | 6/15 |
| DE-SIMPLEX voglis | 26 (22) | 41 (44) | 51 (41) | 57 (36) | 114 (113) | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 25 (2) | 18 (4) | 19 (5) | 19 (5) | 18 (4) | 13 (2) | 14 (2) | 15/15 |
| DE posik | 227 (273) | 233 (286) | 250 (239) | 391 (426) | 715 (506) | ∞ | ∞2e6 | 0/15 |
| DEb posik | 227 (241) | 233 (343) | 250 (222) | 391 (466) | 715 (696) | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 209 (242) | 238 (310) | 508 (572) | 554 (604) | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 29 (46) | 44 (38) | 56 (18) | 56 (15) | 51 (12) | 35 (6) | 35 (5) | 15/15 |
| JADEb posik | 49 (98) | 101 (150) | 102 (118) | 95 (93) | 93 (78) | 62 (49) | 61 (48) | 12/15 |
| JADEctpb posik | 29 (46) | 44 (38) | 56 (18) | 56 (15) | 51 (12) | 35 (6) | 35 (5) | 15/15 |
| MVDE melo | 100 (121) | 395 (403) | 733 (846) | 1327 (1281) | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.3 (1) | 2.2 (1) | 2.4 (1.0) | 2.3 (0.9) | 2.2 (0.7) | 1.5 (0.4) | 1.5 (0.4) | 15/15 |
| NIPOPaCMA loshchilov | 1.9 (2) | 2.0 (1) | 2.2 (1) | 2.2 (0.9) | 2.1 (0.7) | 1.5 (0.4) | 1.5 (0.4) | 15/15 |
| PSO-BFGS voglis | 12 (8) | 11 (10) | 14 (11) | 14 (9) | 30 (23) | 406 (363) | ∞4e6 | 0/15 |
| Δ fopt f13, 40-D |
1e1 2029 |
1e0 6916 |
1e-1 8734 |
1e-2 11861 |
1e-3 71936 |
1e-5 98467 |
1e-7 1.2e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1802 (2465) | 2896 (3615) | 7446 (1e4) | 1.2e4 (1e4) | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 2.0 (0.2) | 3.8 (3) | 5.3 (4) | 6.5 (5) | 1.3 (0.9) | 1.6 (1) | 2.0 (1) | 15/15 |
| CMAES posik | 2.7 (4) | 3.8 (3) | 7.2 (8) | 16 (23) | 5.9 (4) | 66 (80) | ∞2e6 | 0/15 |
| CMA brockhoff | 2.1 (0.1) | 3.6 (5) | 8.6 (11) | 9.3 (9) | 2.5 (2) | 3.0 (2) | 3.8 (1) | 15/15 |
| CMAa brockhoff | 2.1 (0.3) | 2.8 (2) | 4.0 (4) | 5.5 (6) | 1.2 (1) | 1.6 (0.7) | 1.8 (0.7) | 15/15 |
| CMAm brockhoff | 1.7 (0.1) | 3.3 (4) | 7.2 (9) | 9.0 (6) | 3.3 (2) | 4.3 (1) | 4.1 (0.8) | 15/15 |
| CMAma brockhoff | 2.0 (3) | 2.2 (2) | 3.6 (2) | 4.2 (2) | 0.93 (0.5) | 1.8 (1) | 1.9 (0.6) | 15/15 |
| CMAmah brockhoff | 1.1 (0.2) | 2.7 (3) | 5.9 (3) | 5.4 (4) | 1.4 (1) | 1.5 (0.9) | 1.9 (0.8) | 15/15 |
| CMAmh brockhoff | 1.1 (0.1) | 1.9 (3) | 5.6 (6) | 11 (9) | 3.3 (2) | 3.0 (1) | 2.8 (1) | 15/15 |
| DBRCGA chuang | 459 (988) | 408 (445) | 841 (1175) | 4840 (5564) | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 1.1 (0.2) | 1.3 (1) | 2.2 (2) | 4.5 (2) | 1.3 (1.0) | 12 (14) | 153 (207) | 1/15 |
| DE-BFGS voglis | 9.4 (4) | 4.3 (0.6) | 6.5 (0.7) | 7.8 (0.8) | 12 (28) | 120 (173) | ∞4e6 | 0/15 |
| DE-ROLL voglis | 15 (20) | 6.0 (6) | 7.1 (5) | 7.0 (4) | 2.3 (2) | 31 (35) | 470 (570) | 0/15 |
| DE-SIMPLEX voglis | 30 (21) | 21 (20) | 28 (20) | 97 (177) | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 33 (3) | 14 (1) | 14 (0.9) | 12 (0.8) | 2.4 (0.1) | 2.3 (0.1) | 2.3 (0.1) | 15/15 |
| DE posik | 54 (7) | 77 (101) | 386 (346) | 573 (507) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 54 (7) | 77 (101) | 386 (415) | 573 (718) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 60 (4) | 27 (3) | 145 (159) | 245 (237) | 201 (215) | ∞ | ∞2e6 | 0/15 |
| JADE posik | 74 (64) | 77 (145) | 283 (293) | 354 (313) | 73 (78) | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 29 (47) | 80 (82) | 258 (383) | 1224 (1265) | 406 (313) | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 74 (64) | 77 (162) | 283 (318) | 354 (297) | 73 (74) | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 67 (4) | 156 (146) | 487 (458) | 574 (612) | 96 (125) | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.5 (3) | 3.2 (2) | 5.0 (4) | 5.1 (3) | 1.2 (0.9) | 2.0 (2) | 2.8 (2) | 15/15 |
| NIPOPaCMA loshchilov | 2.4 (3) | 2.4 (3) | 4.1 (4) | 5.6 (8) | 1.4 (1) | 1.6 (0.8) | 1.7 (0.8) | 15/15 |
| PSO-BFGS voglis | 26 (2) | 8.0 (0.4) | 9.1 (3) | 13 (7) | 95 (111) | 574 (539) | ∞4e6 | 0/15 |
| Δ fopt f14, 40-D |
1e1 304 |
1e0 616 |
1e-1 777 |
1e-2 1105 |
1e-3 2207 |
1e-5 4825 |
1e-7 57711 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 21 (6) | 16 (3) | 18 (2) | 24 (3) | 107 (28) | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 2.5 (0.2) | 2.3 (0.3) | 2.9 (0.2) | 3.7 (0.3) | 3.5 (0.2) | 3.9 (0.2) | 0.59 (0.0)↑0 | 15/15 |
| CMAES posik | 2.4 (0.4) | 2.4 (0.2) | 2.9 (0.2) | 3.8 (0.4) | 4.3 (0.3) | 6.7 (0.5) | 1.1 (0.1) | 15/15 |
| CMA brockhoff | 2.5 (0.4) | 2.4 (0.3) | 3.0 (0.3) | 3.9 (0.5) | 4.4 (0.3) | 6.8 (0.4) | 1.1 (0.1) | 15/15 |
| CMAa brockhoff | 2.5 (0.4) | 2.4 (0.3) | 3.0 (0.3) | 3.6 (0.3) | 3.4 (0.3) | 3.9 (0.2) | 0.58 (0.0)↑0 | 15/15 |
| CMAm brockhoff | 2.0 (0.4) | 1.9 (0.3) | 2.3 (0.2) | 3.0 (0.2) | 3.9 (0.3) | 6.6 (0.4) | 1.1 (0.1) | 15/15 |
| CMAma brockhoff | 1.9 (0.4) | 1.9 (0.2) | 2.3 (0.2) | 3.0 (0.3) | 3.0 (0.2) | 3.6 (0.2) | 0.56 (0.0)↑0 | 15/15 |
| CMAmah brockhoff | 1.5 (0.5) | 1.4 (0.3) | 1.6 (0.3) | 2.0 (0.3) | 2.3 (0.2) | 3.5 (0.2) | 0.61 (0.0)↑0 | 15/15 |
| CMAmh brockhoff | 1.5 (0.3) | 1.3 (0.2) | 1.6 (0.2) | 2.1 (0.2) | 2.8 (0.2) | 5.9 (0.6) | 1.1 (0.1) | 15/15 |
| DBRCGA chuang | 34 (11) | 57 (11) | 81 (14) | 110 (19) | 154 (35) | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 0.92 (0.1) | 0.70 (0.1)↑0 | 0.77 (0.1)↑0 | 1.3 (0.1) | 1.1 (0.2) | 13 (3) | ∞4e6 | 0/15 |
| DE-BFGS voglis | 0.91 (0.2) | 0.70 (0.1)↑0 | 0.83 (0.2)↑1 | 0.91 (0.1) | 0.64 (0.1)↑0 | 2.0 (2)★2 | ∞4e6 | 0/15 |
| DE-ROLL voglis | 4.1 (4) | 11 (11) | 12 (13) | 12 (7) | 24 (6) | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 27 (14) | 31 (9) | 34 (9) | 35 (7) | 31 (11) | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 49 (11) | 53 (8) | 73 (10) | 81 (9) | 54 (6) | 40 (2) | 4.5 (0.3) | 15/15 |
| DE posik | 123 (18) | 100 (10) | 115 (14) | 329 (106) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 123 (18) | 100 (10) | 115 (14) | 329 (106) | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 114 (18) | 100 (10) | 120 (7) | 446 (68) | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 23 (2) | 23 (1) | 27 (1) | 29 (1) | 30 (2) | 166 (50) | ∞2e6 | 0/15 |
| JADEb posik | 20 (2) | 20 (2) | 25 (2) | 32 (3) | 30 (2) | 153 (27) | ∞2e6 | 0/15 |
| JADEctpb posik | 23 (2) | 23 (1) | 27 (1) | 29 (1) | 30 (2) | 166 (50) | ∞2e6 | 0/15 |
| MVDE melo | 79 (10) | 89 (4) | 114 (7) | 277 (53) | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.5 (0.5) | 2.4 (0.2) | 3.0 (0.2) | 3.6 (0.3) | 3.5 (0.3) | 3.9 (0.2) | 0.59 (0.0)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 2.5 (0.4) | 2.3 (0.3) | 3.0 (0.3) | 3.6 (0.2) | 3.4 (0.1) | 3.8 (0.2) | 0.60 (0.0)↑0 | 15/15 |
| PSO-BFGS voglis | 0.93 (0.2) | 0.72 (0.1)↑0 | 0.85 (0.2) | 0.94 (0.1) | 0.66 (0.1)↑0 | 6.4 (4) | ∞4e6 | 0/15 |
| Δ fopt f15, 40-D |
1e1 1.9e5 |
1e0 7.9e5 |
1e-1 1.0e6 |
1e-2 1.1e6 |
1e-3 1.1e6 |
1e-5 1.1e6 |
1e-7 1.1e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.2 (0.5) | 1.1 (0.5) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 1.1 (0.4) | 15/15 |
| CMAES posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 0.97 (0.3) | 0.78 (0.3) | 0.71 (0.2)↑1 | 0.72 (0.2)↑1 | 0.72 (0.2)↑1 | 0.74 (0.2)↑1 | 0.75 (0.2)↑1 | 15/15 |
| CMAa brockhoff | 0.75 (0.3) | 0.67 (0.2)↑1 | 0.66 (0.2)↑1 | 0.66 (0.2)↑1 | 0.67 (0.2)↑1 | 0.68 (0.2)↑1 | 0.69 (0.2)↑1 | 15/15 |
| CMAm brockhoff | 0.71 (0.3) | 0.64 (0.3) | 0.68 (0.5) | 0.68 (0.5) | 0.69 (0.5) | 0.70 (0.5) | 0.71 (0.5) | 15/15 |
| CMAma brockhoff | 0.72 (0.3)↑1 | 0.58 (0.2)↑0 | 0.60 (0.2)↑0 | 0.60 (0.2)↑0 | 0.61 (0.2)↑0 | 0.62 (0.2)↑0 | 0.63 (0.2)↑0 | 15/15 |
| CMAmah brockhoff | 0.79 (0.2) | 0.68 (0.2)↑0 | 0.69 (0.4) | 0.70 (0.4) | 0.70 (0.4) | 0.72 (0.4) | 0.72 (0.4) | 15/15 |
| CMAmh brockhoff | 0.86 (0.3) | 0.66 (0.3) | 0.71 (0.3)↑1 | 0.72 (0.3)↑1 | 0.72 (0.3)↑1 | 0.74 (0.3)↑1 | 0.75 (0.3) | 15/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.0 (0.4) | 0.71 (0.3) | 0.75 (0.3)↑1 | 0.76 (0.3)↑1 | 0.76 (0.3)↑1 | 0.77 (0.3)↑1 | 0.77 (0.3)↑1 | 15/15 |
| NIPOPaCMA loshchilov | 0.92 (0.3) | 0.61 (0.2)↑0 | 0.55 (0.2)↑0 | 0.56 (0.2)↑0 | 0.56 (0.2)↑0 | 0.57 (0.2)↑0 | 0.58 (0.2)↑0 | 15/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f16, 40-D |
1e1 5244 |
1e0 72122 |
1e-1 3.2e5 |
1e-2 7.1e5 |
1e-3 1.4e6 |
1e-5 2.0e6 |
1e-7 2.0e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 8740 (6472) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.3 (0.4) | 0.96 (0.3) | 0.80 (0.4) | 0.61 (0.3)↑1 | 0.54 (0.3)↑1 | 0.50 (0.3)↑1 | 0.51 (0.3)↑1 | 15/15 |
| CMAES posik | 1.1 (0.5) | 47 (39) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 1.8 (3) | 1.2 (0.7) | 0.92 (0.6) | 0.99 (1) | 0.64 (0.5) | 0.57 (0.5) | 0.58 (0.5) | 15/15 |
| CMAa brockhoff | 0.88 (0.3) | 0.94 (0.4) | 0.65 (0.5) | 0.66 (0.6) | 0.59 (0.6) | 0.44 (0.4)↑1 | 0.45 (0.4)↑1 | 15/15 |
| CMAm brockhoff | 0.72 (0.3)↑1 | 1.2 (0.9) | 1.2 (1.0) | 0.91 (1) | 0.62 (0.6) | 0.61 (0.4) | 0.63 (0.4) | 15/15 |
| CMAma brockhoff | 0.65 (0.3)↑1 | 0.72 (0.3)↑1 | 0.55 (0.2)↑0 | 0.81 (0.8) | 0.52 (0.4)↑1 | 0.52 (0.5) | 0.56 (0.5) | 15/15 |
| CMAmah brockhoff | 2.4 (2) | 1.00 (0.6) | 0.75 (0.6) | 0.55 (0.4)↑1 | 0.55 (0.6) | 0.47 (0.4) | 0.48 (0.4) | 15/15 |
| CMAmh brockhoff | 2.8 (2) | 1.9 (0.9) | 0.79 (0.4) | 0.99 (0.8) | 0.73 (0.6) | 0.58 (0.4)↑1 | 0.60 (0.4)↑1 | 15/15 |
| DBRCGA chuang | 657 (853) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 329 (274) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 2351 (3156) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 415 (373) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 1082 (1395) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 219 (211) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 1211 (1289) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 219 (250) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 0.97 (0.3) | 0.78 (0.4) | 0.34 (0.1)↑0 | 0.28 (0.2)↑0 | 0.38 (0.3)↑1 | 0.46 (0.4)↑1 | 0.74 (1) | 15/15 |
| NIPOPaCMA loshchilov | 1.2 (0.4) | 0.65 (0.2)↑0 | 0.23 (0.1)★↑0 | 0.27 (0.2)↑0 | 0.21 (0.2)↑0 | 0.16 (0.1)★↑0 | 0.18 (0.1)↑0 | 15/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f17, 40-D |
1e1 399 |
1e0 4220 |
1e-1 14158 |
1e-2 34948 |
1e-3 51958 |
1e-5 1.3e5 |
1e-7 2.7e5 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 37 (22) | 9.3 (5) | 1064 (1590) | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 1.1 (0.3) | 0.64 (0.2)↑1 | 1.6 (1) | 1.0 (0.1) | 1.1 (0.4) | 1.4 (1) | 0.87 (0.4) | 15/15 |
| CMAES posik | 1.0 (0.3) | 1.0 (0.1) | 1.1 (1) | 15 (17) | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 0.98 (0.2) | 1.2 (0.3) | 1.1 (1) | 0.94 (0.1) | 0.94 (0.4) | 0.98 (0.3) | 0.73 (0.3) | 15/15 |
| CMAa brockhoff | 0.88 (0.5) | 0.53 (0.1)↑0 | 1.0 (1) | 0.95 (0.1) | 1.0 (0.3) | 1.00 (0.7) | 0.69 (0.2) | 15/15 |
| CMAm brockhoff | 0.79 (0.3) | 0.42 (0.1)↑0 | 1.1 (0.9) | 0.79 (0.1)↑1 | 0.96 (0.3) | 0.93 (0.6) | 0.80 (0.3) | 15/15 |
| CMAma brockhoff | 0.89 (0.4) | 0.46 (0.2)↑0 | 0.96 (0.8) | 0.68 (0.1)↑0 | 0.77 (0.3) | 0.77 (0.2)↑1 | 0.60 (0.2)↑0 | 15/15 |
| CMAmah brockhoff | 0.82 (0.2) | 11 (7) | 4.3 (3) | 2.4 (0.9) | 1.9 (0.8) | 1.1 (0.4) | 0.82 (0.3) | 15/15 |
| CMAmh brockhoff | 1.0 (0.6) | 7.6 (6) | 3.9 (3) | 1.8 (1) | 1.5 (0.7) | 1.2 (0.6) | 0.90 (0.3) | 15/15 |
| DBRCGA chuang | 5.6 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 15 (20) | 636 (506) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 13 (13) | 422 (493) | 4118 (5726) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 19 (17) | 1039 (562) | 1986 (2119) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 25 (24) | 1894 (1363) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 30 (11) | 19 (4) | 13 (2) | 9.2 (2) | 28 (27) | ∞ | ∞2e6 | 0/15 |
| DE posik | 35 (10) | 24 (6) | 17 (3) | 13 (2) | 26 (23) | ∞ | ∞2e6 | 0/15 |
| DEb posik | 35 (10) | 24 (6) | 17 (3) | 13 (2) | 26 (21) | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 28 (9) | 21 (2) | 15 (1.0) | 10 (0.5) | 10 (0.5) | ∞ | ∞2e6 | 0/15 |
| JADE posik | 7.0 (2) | 5.4 (0.9) | 3.2 (0.6) | 5.2 (7) | 13 (19) | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 6.7 (3) | 115 (240) | 924 (1271) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 7.0 (2) | 5.4 (0.9) | 3.2 (0.6) | 5.2 (7) | 13 (21) | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 17 (4) | 27 (5) | 21 (4) | 17 (5) | 29 (25) | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.0 (0.4) | 0.57 (0.2)↑0 | 1.2 (1) | 1.2 (0.3) | 1.2 (0.5) | 1.0 (0.3) | 0.81 (0.3) | 15/15 |
| NIPOPaCMA loshchilov | 0.98 (0.3) | 0.52 (0.1)↑0 | 0.97 (1) | 1.1 (0.5) | 1.00 (0.4) | 1.1 (0.6) | 0.70 (0.2) | 15/15 |
| PSO-BFGS voglis | 24 (22) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f18, 40-D |
1e1 1442 |
1e0 16998 |
1e-1 47068 |
1e-2 1.3e5 |
1e-3 1.9e5 |
1e-5 6.7e5 |
1e-7 9.5e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 16 (6) | 397 (442) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 0.94 (0.2) | 0.51 (0.8) | 1.0 (0.4) | 0.72 (0.5) | 0.98 (0.4) | 0.88 (0.7) | 0.67 (0.5) | 15/15 |
| CMAES posik | 0.97 (0.2) | 1.2 (2) | 68 (84) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 0.94 (0.2) | 0.58 (0.9) | 1.1 (0.5) | 0.72 (0.4) | 0.77 (0.2)↑1 | 0.53 (0.2)↑0 | 0.58 (0.2)↑1 | 15/15 |
| CMAa brockhoff | 0.95 (0.2) | 0.50 (0.8) | 1.2 (0.5) | 0.75 (0.2) | 0.83 (0.3) | 0.54 (0.4)↑0 | 0.43 (0.2)↑0 | 15/15 |
| CMAm brockhoff | 0.78 (0.2) | 0.62 (0.7) | 0.90 (0.4) | 0.65 (0.2)↑1 | 0.68 (0.5) | 0.85 (0.8) | 0.67 (0.6) | 15/15 |
| CMAma brockhoff | 0.77 (0.1)↑0 | 0.72 (0.7) | 0.93 (0.4) | 0.62 (0.2)↑0 | 0.61 (0.2)↑0 | 0.46 (0.3)↑0 | 0.47 (0.2)↑1 | 15/15 |
| CMAmah brockhoff | 9.3 (24) | 3.5 (2) | 1.7 (0.9) | 0.99 (0.3) | 0.96 (0.3) | 0.58 (0.2)↑1 | 0.47 (0.2)↑1 | 15/15 |
| CMAmh brockhoff | 24 (37) | 3.4 (4) | 2.0 (1) | 1.1 (0.5) | 1.1 (0.4) | 0.68 (0.3)↑1 | 0.58 (0.2)↑1 | 15/15 |
| DBRCGA chuang | 1183 (1428) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 291 (158) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 230 (206) | 3492 (4475) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 442 (268) | 3530 (4062) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 638 (406) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 32 (8) | 11 (2) | 10 (5) | 38 (38) | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | 46 (9) | 24 (13) | 38 (24) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 46 (9) | 24 (13) | 38 (30) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 40 (7) | 14 (3) | 12 (2) | 7.8 (2) | 10 (6) | ∞ | ∞2e6 | 0/15 |
| JADE posik | 10 (1) | 2.8 (0.8) | 16 (21) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 16 (6) | 794 (851) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 10 (1) | 2.8 (0.8) | 16 (23) | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 49 (8) | 29 (12) | 316 (218) | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 1.0 (0.2) | 0.97 (1) | 1.1 (0.6) | 0.94 (0.3) | 0.93 (0.4) | 0.57 (0.4) | 0.53 (0.3)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 0.95 (0.2) | 0.58 (0.8) | 0.75 (0.1)↑1 | 0.66 (0.2) | 0.71 (0.2)↑1 | 0.50 (0.3)↑0 | 0.42 (0.2)↑0 | 15/15 |
| PSO-BFGS voglis | 1465 (1799) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f19, 40-D |
1e1 1 |
1e0 1 |
1e-1 1.4e6 |
1e-2 1.7e7 |
1e-3 2.6e7 |
1e-5 4.5e7 |
1e-7 4.5e7 |
#succ 8/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 4435 (1033) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 396 (82) | 6.7e4 (5e4) | 0.87 (0.7) | 1.2 (0.7) | 1.2 (1.0) | 1.0 (2) | 1.0 (0.9) | 9/15 |
| CMAES posik | 407 (116) | 2.5e5 (3e5) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 421 (92) | 6.9e5 (8e5) | 1.5 (3) | 1.7 (2) | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAa brockhoff | 443 (121) | 4.8e4 (3e4) | 1.8 (3) | 2.3 (2) | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAm brockhoff | 293 (90) | 5.5e4 (4e4) | 2.5 (3) | 1.6 (2) | 4.5 (4) | 2.5 (4) | 2.5 (3) | 1/15 |
| CMAma brockhoff | 323 (38) | 3.9e4 (3e4) | 2.3 (3) | 1.2 (2) | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAmah brockhoff | 338 (204) | 1.6e6 (4e6) | 7.1 (9) | 6.9 (12) | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAmh brockhoff | 305 (114) | 1.2e6 (2e6) | 2.3 (3) | 6.9 (9) | ∞ | ∞ | ∞8e6 | 0/15 |
| DBRCGA chuang | 1270 (156) | 2.5e6 (2e6) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 2.1e4 (2e4) | 2.1e6 (3e6) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 1.6e4 (7636) | 1.9e6 (2e6) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 2.1e4 (1e4) | 2.8e7 (3e7) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 2.7e4 (9260) | 5.8e7 (8e7) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 9417 (2203) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | 1.4e4 (4500) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 1.4e4 (4500) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 1.2e4 (3772) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 3064 (499) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 3765 (784) | 8.9e6 (1e7) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 3064 (499) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 1.4e4 (1661) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 424 (90) | 8.3e4 (6e4) | 0.97 (0.6) | 0.80 (0.3) | 0.81 (0.5) | 1.1 (1) | 1.1 (1) | 9/15 |
| NIPOPaCMA loshchilov | 436 (102) | 8.2e4 (4e4) | 1.9 (6) | 0.54 (0.4) | 0.48 (0.3)↑1 | 0.32 (0.2)↑0 | 0.32 (0.2)↑0 | 15/15 |
| PSO-BFGS voglis | 2.8e4 (2e4) | 1.2e5 (6e4) | 41 (55) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f20, 40-D |
1e1 222 |
1e0 1.3e5 |
1e-1 1.6e8 |
1e-2 ∞ |
1e-3 ∞ |
1e-5 ∞ |
1e-7 ∞ |
#succ 0/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 26 (4) | 34 (39) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 4.0 (0.4) | 9.0 (4) | 0.34 (0.5) | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| CMAES posik | 4.0 (0.5) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 3.9 (0.7) | 14 (4) | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAa brockhoff | 4.1 (0.5) | 5.6 (3) | 0.73 (1.0) | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAm brockhoff | 3.0 (0.4) | 13 (4) | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAma brockhoff | 3.0 (0.5) | 5.5 (2) | 0.21 (0.2) | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAmah brockhoff | 2.0 (0.4) | 5.1 (2) | 0.35 (0.4) | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAmh brockhoff | 2.1 (0.4) | 12 (5) | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| DBRCGA chuang | 28 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 1.5 (0.3)★2 | 3.9 (3) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 10 (8) | 2.2 (1) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 30 (30) | 0.94 (0.8) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 36 (18) | 5.5 (3) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 80 (13) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | 106 (23) | 7.2 (4) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 106 (23) | 7.2 (4) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 102 (22) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 29 (2) | 2.7 (0.4) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 27 (4) | 11 (11) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 29 (2) | 2.7 (0.4) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 121 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 4.0 (0.8) | 8.5 (3) | 0.39 (0.5) | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| NIPOPaCMA loshchilov | 4.0 (0.6) | 6.5 (2) | 0.32 (0.3) | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| PSO-BFGS voglis | 8.0 (1) | 209 (251) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f21, 40-D |
1e1 1044 |
1e0 21144 |
1e-1 1.0e5 |
1e-2 1.0e5 |
1e-3 1.0e5 |
1e-5 1.0e5 |
1e-7 1.0e5 |
#succ 26/30 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 2674 (4792) | 3199 (3768) | 1410 (1415) | 1406 (2054) | 1402 (1826) | 1393 (2085) | 1387 (1709) | 1/15 |
| BIPOPaCMA loshchilov | 7.5 (11) | 60 (19) | 37 (56) | 37 (56) | 37 (56) | 37 (56) | 37 (55) | 15/15 |
| CMAES posik | 5.6 (9) | 2.2 (3) | 2.2 (1.0) | 2.2 (1.0) | 2.2 (1.0) | 2.1 (1.0) | 2.1 (1.0) | 14/15 |
| CMA brockhoff | 3.5 (5) | 63 (63) | 39 (33) | 39 (39) | 39 (52) | 39 (39) | 39 (51) | 6/15 |
| CMAa brockhoff | 2.0 (5) | 63 (91) | 38 (38) | 38 (44) | 38 (50) | 38 (68) | 37 (93) | 6/15 |
| CMAm brockhoff | 7.0 (10) | 110 (126) | 30 (27) | 30 (40) | 30 (39) | 30 (32) | 30 (52) | 7/15 |
| CMAma brockhoff | 1.6 (3) | 61 (121) | 38 (57) | 38 (39) | 38 (38) | 38 (32) | 38 (50) | 6/15 |
| CMAmah brockhoff | 1.3 (2) | 30 (59) | 17 (25) | 16 (30) | 16 (24) | 16 (24) | 16 (23) | 9/15 |
| CMAmh brockhoff | 2.3 (3) | 44 (61) | 22 (31) | 22 (37) | 22 (18) | 22 (31) | 22 (24) | 8/15 |
| DBRCGA chuang | 15 (9) | 56 (95) | 26 (36) | 26 (35) | 26 (32) | 27 (31) | 27 (24) | 11/15 |
| DE-AUTO voglis | 1.4 (2) | 162 (284) | 47 (63) | 47 (59) | 47 (43) | 47 (49) | 46 (57) | 8/15 |
| DE-BFGS voglis | 16 (18) | 60 (104) | 22 (28) | 22 (25) | 22 (27) | 21 (21) | ∞4e6 | 0/15 |
| DE-ROLL voglis | 176 (103) | 99 (125) | 33 (55) | 33 (44) | 33 (50) | 33 (58) | 66 (116) | 4/15 |
| DE-SIMPLEX voglis | 606 (1917) | 522 (615) | 258 (278) | 258 (228) | 257 (316) | 256 (314) | 548 (684) | 0/15 |
| DEAE posik | 38 (9) | 30 (50) | 18 (18) | 18 (20) | 18 (25) | 18 (21) | 18 (20) | 9/15 |
| DE posik | 65 (127) | 30 (70) | 9.4 (16) | 10 (11) | 11 (13) | 11 (20) | 11 (11) | 11/15 |
| DEb posik | 65 (127) | 30 (47) | 9.4 (10) | 10 (14) | 11 (13) | 11 (20) | 11 (13) | 11/15 |
| DEctpb posik | 39 (12) | 112 (142) | 80 (89) | 80 (104) | 80 (109) | 80 (103) | 80 (73) | 3/15 |
| JADE posik | 30 (3) | 25 (35) | 13 (15) | 13 (23) | 13 (19) | 13 (19) | 13 (10) | 9/15 |
| JADEb posik | 16 (3) | 12 (28) | 3.3 (6) | 3.3 (6) | 3.4 (6) | 3.4 (6) | 3.5 (6) | 15/15 |
| JADEctpb posik | 30 (3) | 25 (35) | 13 (19) | 13 (13) | 13 (17) | 13 (14) | 13 (22) | 9/15 |
| MVDE melo | 40 (15) | 58 (48) | 21 (27) | 21 (30) | 21 (23) | 22 (15) | 22 (20) | 5/15 |
| NBIPOPaCMA loshchilov | 4.9 (6) | 10 (20) | 5.1 (8) | 5.1 (8) | 5.1 (8) | 5.1 (8) | 5.1 (8) | 15/15 |
| NIPOPaCMA loshchilov | 14 (22) | 440 (890) | 173 (292) | 173 (338) | 172 (200) | 171 (196) | 171 (217) | 12/15 |
| PSO-BFGS voglis | 0.61 (0.9) | 1.7 (3) | 0.98 (1) | 0.97 (1) | 0.97 (1) | 1.1 (1) | 161 (177) | 1/15 |
| Δ fopt f22, 40-D |
1e1 3090 |
1e0 35442 |
1e-1 6.5e5 |
1e-2 6.5e5 |
1e-3 6.5e5 |
1e-5 6.5e5 |
1e-7 6.5e5 |
#succ 8/30 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1184 (1619) | 1129 (1622) | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 12 (20) | 343 (566) | 201 (358) | 201 (121) | 200 (326) | 200 (288) | 199 (196) | 4/15 |
| CMAES posik | 8.1 (16) | 35 (57) | 46 (39) | 46 (55) | 46 (55) | 45 (36) | 45 (45) | 1/15 |
| CMA brockhoff | 82 (117) | 149 (187) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAa brockhoff | 65 (8) | 197 (213) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAm brockhoff | 71 (59) | 147 (128) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAma brockhoff | 62 (6) | 144 (143) | ∞ | ∞ | ∞ | ∞ | ∞3e6 | 0/15 |
| CMAmah brockhoff | 1.2 (2) | 102 (135) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMAmh brockhoff | 8.6 (2) | 141 (142) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DBRCGA chuang | 167 (345) | 196 (231) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 218 (489) | 315 (339) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 101 (92) | 136 (174) | 87 (102) | 87 (86) | 87 (85) | 87 (77) | ∞4e6 | 0/15 |
| DE-ROLL voglis | 538 (1264) | 254 (226) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 869 (1296) | 1582 (1948) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 84 (70) | 77 (99) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | 68 (49) | 98 (123) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 68 (49) | 98 (94) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 128 (324) | 368 (606) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 109 (324) | 119 (144) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 13 (28) | 74 (129) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 109 (324) | 119 (142) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 95 (166) | 83 (92) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 12 (6) | 112 (120) | 32 (46) | 32 (40) | 32 (42) | 32 (41) | 32 (33) | 12/15 |
| NIPOPaCMA loshchilov | 179 (468) | 583 (1021) | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| PSO-BFGS voglis | 0.79 (0.9) | 22 (57) | 6.6 (9) | 6.6 (6) | 6.6 (7) | 9.4 (17) | ∞4e6 | 0/15 |
| Δ fopt f23, 40-D |
1e1 7.0 |
1e0 11925 |
1e-1 75453 |
1e-2 6.6e5 |
1e-3 1.3e6 |
1e-5 3.2e6 |
1e-7 3.4e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | 1.3 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 8.5 (10) | 7.8 (7) | 1.3 (1) | 1.0 (1) | 1.9 (1) | 1.00 (0.4) | 0.99 (0.4) | 15/15 |
| CMAES posik | 5.0 (4) | 2478 (2180) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | 4.2 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAa brockhoff | 4.9 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAm brockhoff | 5.9 (6) | 4975 (6628) | 787 (1174) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAma brockhoff | 3.3 (3) | 2196 (2693) | 760 (1069) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAmah brockhoff | 7.5 (11) | 859 (1146) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| CMAmh brockhoff | 7.5 (7) | 4340 (4434) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DBRCGA chuang | 1.1 (0.9) | 350 (233) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | 1.4 (2) | 6.7 (4) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | 0.99 (1) | 7.0 (5) | 748 (942) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | 0.74 (0.7) | 47 (45) | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | 1.3 (2) | 0.43 (0.8)★3 | 354 (292) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | 0.93 (0.9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | 2.0 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | 2.0 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | 1.1 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | 2.2 (2) | 95 (38) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | 1.4 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | 2.2 (2) | 95 (38) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | 1.1 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 8.8 (11) | 10 (12) | 1.6 (2) | 2.4 (0.8) | 1.3 (0.4) | 0.58 (0.2)↑0 | 0.59 (0.2)↑0 | 15/15 |
| NIPOPaCMA loshchilov | 6.0 (8) | 61 (18) | 11 (3) | 1.3 (0.4) | 0.72 (0.2)↑0 | 0.36 (0.2)↑0 | 0.38 (0.2)↑0 | 15/15 |
| PSO-BFGS voglis | 1.5 (1) | 4.3 (2) | 84 (147) | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| Δ fopt f24, 40-D |
1e1 5.8e6 |
1e0 9.8e7 |
1e-1 3.0e8 |
1e-2 3.0e8 |
1e-3 3.0e8 |
1e-5 3.0e8 |
1e-7 3.0e8 |
#succ 1/15 |
|---|---|---|---|---|---|---|---|---|
| ACOR liao | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e7 | 0/15 |
| BIPOPaCMA loshchilov | 3.6 (4) | 1.4 (1) | ∞ | ∞ | ∞ | ∞ | ∞4e7 | 0/15 |
| CMAES posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| CMA brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAa brockhoff | 19 (22) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAm brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAma brockhoff | 9.0 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAmah brockhoff | 10 (8) | 1.2 (2) | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| CMAmh brockhoff | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞8e6 | 0/15 |
| DBRCGA chuang | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-AUTO voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-ROLL voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DE-SIMPLEX voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |
| DEAE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| DEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADE posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| JADEctpb posik | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| MVDE melo | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| NBIPOPaCMA loshchilov | 2.1 (3) | 0.19 (0.2)↑0 | 0.97 (0.8) | 0.97 (1) | 0.97 (1.0) | 0.97 (1) | 0.97 (0.9) | 2/15 |
| NIPOPaCMA loshchilov | 1.2 (1) | 0.15 (0.2) | 0.44 (0.4) | 0.44 (0.5) | 0.44 (0.6) | 0.44 (0.6) | 0.44 (0.4) | 4/15 |
| PSO-BFGS voglis | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞4e6 | 0/15 |