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Table showing the aRT in number of function evaluations divided by the best aRT measured during BBOB-2009

Last dimension | Dimension = 2 | Next dimension

Δ fopt
f101, 2-D
1e1
2.0
1e0
8.0
1e-1
10
1e-2
11
1e-3
14
1e-5
20
1e-7
23
#succ
15/15
IPOPsaACM loshchilov noisy 3.0 (4)1.8 (2)4.1 (2)4.4 (2)4.1 (1)3.9 (0.3)★44.0 (1)★415/15
SNES schaul noisy 3.9 (9)2.0 (4)3.2 (2)6.6 (5)7.4 (2)11 (2)14 (4)15/15
xNES schaul noisy 7.6 (18)5.1 (1)6.8 (10)8.8 (3)10 (4)11 (5)13 (6)15/15
xNESas schaul noisy 6.1 (4)3.4 (3)5.4 (3)6.4 (3)8.2 (3)10 (2)12 (2)15/15

Δ fopt
f102, 2-D
1e1
2.0
1e0
7.0
1e-1
11
1e-2
17
1e-3
19
1e-5
25
1e-7
31
#succ
15/15
IPOPsaACM loshchilov noisy 2.8 (5)2.8 (2)3.0 (1)3.0 (0.6)3.2 (0.5)★23.3 (0.4)★33.1 (0.5)★415/15
SNES schaul noisy 5.9 (4)3.8 (2)4.2 (2)4.2 (1)7.0 (2)8.6 (1)10 (1)15/15
xNES schaul noisy 4.6 (9)3.4 (6)4.3 (6)4.8 (2)6.4 (2)8.0 (2)8.8 (1)15/15
xNESas schaul noisy 6.3 (6)42 (145)28 (92)20 (2)21 (56)29 (41)26 (1)15/15

Δ fopt
f103, 2-D
1e1
2.0
1e0
8.0
1e-1
9.0
1e-2
9.0
1e-3
9.0
1e-5
10
1e-7
14
#succ
15/15
IPOPsaACM loshchilov noisy 4.0 (3)2.9 (3)4.0 (2)5.3 (4)6.9 (1)★28.8 (2)★38.4 (2)★415/15
SNES schaul noisy 3.9 (4)2.6 (1)4.4 (2)8.6 (4)14 (5)34 (19)69 (66)15/15
xNES schaul noisy 3.8 (3)3.0 (1)5.5 (4)8.6 (4)14 (4)24 (9)24 (7)15/15
xNESas schaul noisy 3.9 (3)4.3 (4)7.6 (11)9.1 (12)14 (11)26 (32)27 (31)15/15

Δ fopt
f104, 2-D
1e1
5.0
1e0
15
1e-1
194
1e-2
240
1e-3
248
1e-5
256
1e-7
263
#succ
15/15
IPOPsaACM loshchilov noisy 4.7 (3)4.7 (4)1.5 (3)1.4 (0.3)1.5 (0.3)1.5 (0.3)1.5 (4)15/15
SNES schaul noisy 13 (52)8.9 (17)3.7 (5)21 (24)124 (130)2e40/15
xNES schaul noisy 5.1 (2)17 (54)5.7 (4)5.2 (0.9)5.5 (5)7.5 (15)7.6 (3)15/15
xNESas schaul noisy 3.6 (6)31 (103)4.8 (9)4.6 (12)4.9 (8)6.2 (2)6.3 (0.8)15/15

Δ fopt
f105, 2-D
1e1
5.0
1e0
15
1e-1
357
1e-2
371
1e-3
381
1e-5
397
1e-7
410
#succ
15/15
IPOPsaACM loshchilov noisy 4.8 (3)10 (4)0.90 (0.2)1.3 (2)1.4 (2)1.4 (2)1.5 (2)15/15
SNES schaul noisy 4.7 (5)6.3 (7)3.0 (2)17 (15)52 (32)347 (279)2e40/15
xNES schaul noisy 6.3 (5)37 (237)4.3 (5)5.7 (12)5.7 (6)5.7 (6)5.7 (9)15/15
xNESas schaul noisy 58 (403)67 (68)7.2 (7)9.3 (13)9.2 (16)11 (15)11 (18)15/15

Δ fopt
f106, 2-D
1e1
5.0
1e0
15
1e-1
139
1e-2
280
1e-3
352
1e-5
490
1e-7
650
#succ
15/15
IPOPsaACM loshchilov noisy 2.9 (1)4.3 (4)1.1 (0.6)0.75 (0.6)0.72 (0.3)0.63 (0.1)0.58 (0.4)15/15
SNES schaul noisy 5.8 (5)4.6 (3)8.0 (8)17 (21)48 (44)296 (348)2e40/15
xNES schaul noisy 6.1 (6)5.9 (5)2.3 (3)2.4 (3)3.0 (3)3.2 (4)2.8 (4)15/15
xNESas schaul noisy 5.5 (8)11 (3)6.1 (14)5.1 (11)4.5 (9)3.5 (8)2.9 (9)15/15

Δ fopt
f107, 2-D
1e1
2.0
1e0
13
1e-1
28
1e-2
113
1e-3
158
1e-5
255
1e-7
421
#succ
15/15
IPOPsaACM loshchilov noisy 4.7 (5)1.8 (2)2.1 (0.9)1.0 (0.3)1.2 (0.9)1.4 (0.3)1.1 (0.4)15/15
SNES schaul noisy 14 (15)4.0 (2)2.7 (1)0.99 (0.7)1.1 (0.4)1.3 (0.3)1.0 (0.2)15/15
xNES schaul noisy 24 (142)33 (4)18 (4)6.8 (15)5.1 (0.8)3.6 (6)2.9 (4)13/15
xNESas schaul noisy 139 (7)91 (79)44 (42)11 (20)10 (15)7.8 (8)5.6 (4)15/15

Δ fopt
f108, 2-D
1e1
2.0
1e0
30
1e-1
202
1e-2
1425
1e-3
3422
1e-5
7369
1e-7
15979
#succ
15/15
IPOPsaACM loshchilov noisy 13 (10)10 (10)4.8 (6)1.8 (2)1.0 (0.8)1.2 (0.9)★30.88 (0.7)★315/15
SNES schaul noisy 48 (34)10 (13)2.8 (4)1.1 (1)2.5 (3)2e40/15
xNES schaul noisy 153 (270)49 (67)11 (20)6.2 (8)10 (13)287 (356)1e50/15
xNESas schaul noisy 452 (65)100 (135)31 (60)12 (16)34 (31)406 (502)2e50/15

Δ fopt
f109, 2-D
1e1
2.0
1e0
10
1e-1
13
1e-2
67
1e-3
68
1e-5
96
1e-7
96
#succ
15/15
IPOPsaACM loshchilov noisy 3.8 (3)2.1 (1)4.2 (2)1.6 (0.6)2.3 (2)3.4 (2)5.5 (2)15/15
SNES schaul noisy 3.5 (6)2.3 (1)3.5 (2)1.3 (0.7)2.6 (2)11 (11)338 (625)1/15
xNES schaul noisy 5.2 (8)3.4 (1)5.4 (14)2.6 (4)5.8 (2)5.3 (2)8.7 (7)15/15
xNESas schaul noisy 4.9 (7)5.4 (0.3)10 (17)4.3 (2)5.7 (11)9.2 (10)11 (13)15/15

Δ fopt
f110, 2-D
1e1
7.0
1e0
34
1e-1
623
1e-2
1301
1e-3
2319
1e-5
8407
1e-7
9154
#succ
14/15
IPOPsaACM loshchilov noisy 4.2 (3)5.8 (28)2.6 (6)3.8 (2)2.9 (2)1.1 (0.3)1.0 (0.9)15/15
SNES schaul noisy 6.0 (14)2.9 (1)1.2 (2)2.0 (3)8.4 (12)34 (22)2e40/15
xNES schaul noisy 12 (5)27 (58)4.2 (8)4.2 (5)4.2 (5)1.4 (1)1.3 (1.0)14/15
xNESas schaul noisy 7.2 (5)53 (91)8.8 (8)6.4 (7)5.4 (4)2.2 (4)2.3 (0.8)15/15

Δ fopt
f111, 2-D
1e1
24
1e0
119
1e-1
718
1e-2
5415
1e-3
12718
1e-5
61860
1e-7
1.7e5
#succ
15/15
IPOPsaACM loshchilov noisy 6.0 (2)3.6 (8)4.1 (7)3.0 (6)7.9 (11)2.7 (2)1.0 (1)15/15
SNES schaul noisy 4.7 (7)2.9 (2)1.9 (2)1.8 (2)4.9 (6)2e40/15
xNES schaul noisy 29 (83)13 (1)12 (13)3.9 (3)7.0 (4)2e50/15
xNESas schaul noisy 50 (99)23 (17)17 (29)5.6 (5)10 (8)2e50/15

Δ fopt
f112, 2-D
1e1
5.0
1e0
15
1e-1
625
1e-2
1043
1e-3
1154
1e-5
1373
1e-7
1531
#succ
15/15
IPOPsaACM loshchilov noisy 5.2 (7)4.7 (2)0.51 (0.1)0.52 (0.5)0.73 (0.8)0.97 (0.7)1.1 (0.6)15/15
SNES schaul noisy 5.1 (4)4.0 (2)2.1 (3)3.2 (2)42 (60)2e40/15
xNES schaul noisy 3.3 (3)11 (5)2.5 (10)2.4 (4)3.6 (4)4.3 (5)4.2 (4)15/15
xNESas schaul noisy 4.4 (3)23 (3)2.7 (7)3.6 (3)4.1 (4)6.0 (12)5.5 (7)15/15

Δ fopt
f113, 2-D
1e1
5.0
1e0
31
1e-1
87
1e-2
140
1e-3
174
1e-5
174
1e-7
876
#succ
15/15
IPOPsaACM loshchilov noisy 4.1 (6)3.1 (5)11 (13)11 (13)9.4 (10)9.4 (15)2.0 (2)15/15
SNES schaul noisy 8.3 (5)3.5 (1)5.9 (1)4.3 (5)6.5 (8)6.5 (11)3.3 (0.1)14/15
xNES schaul noisy 7.2 (10)20 (98)15 (29)14 (18)18 (25)18 (28)3.6 (5)15/15
xNESas schaul noisy 5.7 (16)25 (39)26 (58)23 (22)30 (19)30 (42)6.0 (7)15/15

Δ fopt
f114, 2-D
1e1
9.0
1e0
43
1e-1
698
1e-2
2475
1e-3
5343
1e-5
5343
1e-7
8680
#succ
15/15
IPOPsaACM loshchilov noisy 17 (75)9.4 (19)3.2 (4)2.1 (1)1.3 (0.6)1.3 (0.7)1.1 (0.6)15/15
SNES schaul noisy 5.6 (14)4.9 (5)1.3 (2)1.4 (2)2.4 (3)2.4 (3)4.6 (4)0/15
xNES schaul noisy 36 (64)33 (54)11 (10)5.8 (7)5.7 (7)5.7 (10)8.9 (12)5/15
xNESas schaul noisy 139 (155)160 (279)21 (23)12 (11)17 (27)17 (18)20 (34)5/15

Δ fopt
f115, 2-D
1e1
3.0
1e0
13
1e-1
225
1e-2
360
1e-3
394
1e-5
394
1e-7
543
#succ
15/15
IPOPsaACM loshchilov noisy 5.5 (4)4.3 (6)2.0 (3)1.9 (2)2.0 (2)2.0 (2)1.8 (1)15/15
SNES schaul noisy 5.6 (4)6.2 (15)1.3 (2)1.9 (1)2.4 (1)2.4 (1)7.6 (7)11/15
xNES schaul noisy 6.8 (8)24 (39)6.3 (8)5.5 (8)5.3 (6)5.3 (6)4.7 (5)15/15
xNESas schaul noisy 5.6 (10)24 (157)3.8 (0.2)3.6 (6)6.2 (17)6.2 (13)4.9 (2)15/15

Δ fopt
f116, 2-D
1e1
49
1e0
101
1e-1
155
1e-2
206
1e-3
275
1e-5
1041
1e-7
1788
#succ
15/15
IPOPsaACM loshchilov noisy 14 (16)18 (20)13 (17)10 (10)7.8 (10)2.3 (2)1.5 (1)15/15
SNES schaul noisy 2.7 (4)12 (8)20 (10)57 (43)230 (222)2e40/15
xNES schaul noisy 15 (52)8.4 (25)9.1 (21)7.1 (16)5.6 (12)1.6 (1)0.98 (2)15/15
xNESas schaul noisy 2.0 (2)26 (23)21 (40)16 (11)14 (16)3.8 (4)3.0 (5)15/15

Δ fopt
f117, 2-D
1e1
167
1e0
1346
1e-1
6454
1e-2
13914
1e-3
28223
1e-5
36420
1e-7
43231
#succ
15/15
IPOPsaACM loshchilov noisy 3.7 (3)3.4 (4)2.0 (2)1.3 (1)0.73 (0.5)0.70 (0.4)0.73 (0.3)15/15
SNES schaul noisy 2.2 (4)1.1 (1)1.0 (0.8)21 (11)2e40/15
xNES schaul noisy 5.1 (0.9)3.0 (5)2.8 (2)5.2 (5)6.6 (15)62 (72)2e50/15
xNESas schaul noisy 24 (23)9.4 (11)3.4 (4)5.5 (5)5.4 (7)80 (114)2e50/15

Δ fopt
f118, 2-D
1e1
21
1e0
103
1e-1
132
1e-2
503
1e-3
584
1e-5
776
1e-7
972
#succ
15/15
IPOPsaACM loshchilov noisy 3.7 (3)1.4 (0.9)1.4 (1)0.48 (0.2)0.58 (0.4)0.64 (0.2)0.77 (0.9)15/15
SNES schaul noisy 7.3 (12)12 (11)27 (51)22 (26)51 (38)2e40/15
xNES schaul noisy 3.6 (2)1.8 (1)2.6 (4)1.2 (2)1.5 (2)1.9 (2)2.1 (2)15/15
xNESas schaul noisy 15 (49)4.4 (19)5.5 (0.7)1.6 (0.1)1.5 (4)1.6 (5)2.3 (3)15/15

Δ fopt
f119, 2-D
1e1
1
1e0
11
1e-1
71
1e-2
176
1e-3
1040
1e-5
4767
1e-7
10082
#succ
15/15
IPOPsaACM loshchilov noisy 3.3 (4)8.4 (18)1.9 (0.4)1.5 (0.9)0.47 (0.4)0.99 (0.6)0.82 (0.2)15/15
SNES schaul noisy 7.3 (5)5.1 (15)1.5 (2)1.1 (0.9)0.44 (0.3)4.4 (5)30 (32)1/15
xNES schaul noisy 7.5 (16)64 (229)10 (0.9)4.9 (1)2.4 (4)1.6 (1)1.1 (1)14/15
xNESas schaul noisy 14 (26)60 (4)13 (33)11 (17)2.9 (5)2.2 (4)1.8 (2)15/15

Δ fopt
f120, 2-D
1e1
1
1e0
11
1e-1
374
1e-2
2514
1e-3
5724
1e-5
75406
1e-7
1.9e5
#succ
15/15
IPOPsaACM loshchilov noisy 7.2 (18)11 (12)2.0 (1)1.8 (2)2.0 (2)0.46 (0.2)0.51 (0.5)15/15
SNES schaul noisy 6.7 (21)11 (11)0.98 (1)1.6 (2)50 (39)2e40/15
xNES schaul noisy 149 (516)199 (362)12 (8)10 (20)11 (4)1e50/15
xNESas schaul noisy 12 (30)165 (505)13 (25)12 (14)23 (24)2e50/15

Δ fopt
f121, 2-D
1e1
1
1e0
7.0
1e-1
42
1e-2
144
1e-3
327
1e-5
1120
1e-7
1702
#succ
15/15
IPOPsaACM loshchilov noisy 3.5 (6)2.1 (3)1.2 (0.7)0.89 (0.5)1.2 (0.9)1.0 (0.5)1.2 (0.3)15/15
SNES schaul noisy 4.9 (4)4.7 (5)1.4 (0.7)1.1 (0.6)1.9 (2)255 (376)2e40/15
xNES schaul noisy 6.1 (6)4.5 (6)1.7 (1)1.4 (1)1.3 (0.5)1.2 (1)1.7 (1)15/15
xNESas schaul noisy 4.1 (6)2.6 (4)1.1 (0.8)0.77 (0.5)1.7 (6)1.6 (5)2.3 (4)15/15

Δ fopt
f122, 2-D
1e1
3.0
1e0
95
1e-1
523
1e-2
1411
1e-3
2244
1e-5
4351
1e-7
9561
#succ
15/15
IPOPsaACM loshchilov noisy 3.8 (3)1.1 (2)1.3 (1)1.4 (2)1.2 (1)1.2 (0.7)0.79 (0.4)★315/15
SNES schaul noisy 17 (6)2.2 (3)0.94 (0.9)1.4 (0.9)3.2 (5)65 (39)2e40/15
xNES schaul noisy 113 (418)17 (37)4.9 (6)4.5 (10)7.0 (10)13 (18)35 (22)4/15
xNESas schaul noisy 103 (15)28 (28)14 (19)12 (13)12 (17)19 (17)53 (87)3/15

Δ fopt
f123, 2-D
1e1
3.0
1e0
211
1e-1
6371
1e-2
24855
1e-3
38734
1e-5
1.0e5
1e-7
2.2e5
#succ
15/15
IPOPsaACM loshchilov noisy 42 (240)3.7 (4)0.90 (0.7)0.79 (0.7)★30.95 (0.5)0.68 (0.4)0.82 (0.3)15/15
SNES schaul noisy 8.4 (0.6)2.8 (3)2.2 (2)2e40/15
xNES schaul noisy 71 (256)20 (16)8.3 (9)88 (123)1e50/15
xNESas schaul noisy 180 (4)47 (182)12 (18)2e50/15

Δ fopt
f124, 2-D
1e1
4.0
1e0
64
1e-1
316
1e-2
680
1e-3
1991
1e-5
5595
1e-7
9019
#succ
15/15
IPOPsaACM loshchilov noisy 2.0 (4)3.4 (0.9)1.4 (4)1.6 (2)0.84 (0.6)1.1 (0.8)★42.4 (0.9)15/15
SNES schaul noisy 3.6 (3)1.9 (2)0.91 (0.3)5.5 (3)71 (59)2e40/15
xNES schaul noisy 3.5 (3)6.3 (24)2.7 (6)4.7 (9)4.6 (5)23 (35)41 (32)5/15

Δ fopt
f125, 2-D
1e1
1
1e0
1
1e-1
1
1e-2
149
1e-3
1150
1e-5
3854
1e-7
7556
#succ
15/15
IPOPsaACM loshchilov noisy 1.1 (1)4.1 (0.8)37 (38)0.67 (0.4)1.9 (3)1.4 (0.8)1.6 (1)15/15
SNES schaul noisy 1 (0)6.3 (4)40 (42)1.6 (3)0.82 (0.3)2.7 (3)12 (9)1/15
xNES schaul noisy 1.1 (0.2)6.8 (8)60 (173)2.0 (7)4.6 (6)5.1 (3)3.1 (2)14/15
xNESas schaul noisy 1.3 (1)6.1 (2)30 (18)1.5 (2)7.2 (8)7.1 (5)8.4 (13)14/15

Δ fopt
f126, 2-D
1e1
1
1e0
1
1e-1
1
1e-2
301
1e-3
3417
1e-5
11056
1e-7
36387
#succ
15/15
IPOPsaACM loshchilov noisy 1 (0)9.2 (10)70 (81)2.3 (3)1.3 (2)1.3 (1.0)1.4 (1.0)15/15
SNES schaul noisy 1 (0)5.5 (6)66 (101)0.81 (0.9)1.5 (1)8.2 (11)2e40/15
xNES schaul noisy 1.1 (0.2)6.1 (4)667 (84)5.8 (5)4.4 (3)7.3 (2)60 (55)0/15
xNESas schaul noisy 1.1 (0.2)3.3 (4)980 (2068)8.1 (1)10 (11)12 (9)25 (26)1/15

Δ fopt
f127, 2-D
1e1
1
1e0
1
1e-1
1
1e-2
186
1e-3
1185
1e-5
6771
1e-7
7277
#succ
13/15
IPOPsaACM loshchilov noisy 1.3 (1)5.5 (10)75 (169)1.9 (2)2.5 (4)0.94 (2)1.1 (0.7)15/15
SNES schaul noisy 1.1 (0.5)4.9 (6)37 (100)1.3 (0.8)1.6 (2)1.7 (3)19 (10)0/15
xNES schaul noisy 1.8 (3)5.7 (9)167 (17)2.3 (6)7.4 (5)2.6 (3)5.0 (7)15/15
xNESas schaul noisy 1.3 (1)4.3 (2)67 (122)1.7 (2)8.9 (14)3.5 (3)5.5 (6)15/15

Δ fopt
f128, 2-D
1e1
2.0
1e0
41
1e-1
134
1e-2
314
1e-3
387
1e-5
593
1e-7
620
#succ
15/15
IPOPsaACM loshchilov noisy 1.3 (2)8.1 (8)22 (16)18 (35)19 (28)83 (540)91 (15)15/15
SNES schaul noisy 1.5 (2)5.1 (4)2.0 (3)1.4 (3)1.2 (2)0.93 (0.3)1.3 (1)15/15
xNES schaul noisy 1.3 (0.5)46 (38)22 (30)13 (16)10 (12)6.9 (5)6.6 (9)15/15
xNESas schaul noisy 1.1 (1)33 (32)65 (78)31 (23)32 (29)23 (31)22 (27)15/15

Δ fopt
f129, 2-D
1e1
2.0
1e0
65
1e-1
220
1e-2
523
1e-3
1902
1e-5
5944
1e-7
10661
#succ
15/15
IPOPsaACM loshchilov noisy 1.3 (1)3.4 (4)11 (8)8.0 (10)2.7 (3)1.6 (0.5)1.2 (2)15/15
SNES schaul noisy 1.2 (0.6)3.6 (4)3.0 (4)3.9 (6)1.6 (2)1.9 (3)13 (8)0/15
xNES schaul noisy 0.77 (1)25 (24)19 (14)17 (32)5.0 (6)5.5 (6)11 (13)9/15
xNESas schaul noisy 0.97 (2)25 (49)35 (36)25 (32)14 (14)18 (19)25 (28)6/15

Δ fopt
f130, 2-D
1e1
2.0
1e0
45
1e-1
198
1e-2
497
1e-3
797
1e-5
1772
1e-7
4442
#succ
15/15
IPOPsaACM loshchilov noisy 1.3 (0.8)4.8 (2)8.3 (12)3.9 (4)6.8 (3)12 (39)26 (26)15/15
SNES schaul noisy 1.1 (0.4)3.6 (4)2.6 (4)1.2 (2)1.0 (1)0.62 (0.6)0.50 (0.4)15/15
xNES schaul noisy 0.97 (0.8)20 (40)16 (39)6.6 (13)4.2 (4)1.9 (4)0.81 (2)15/15
xNESas schaul noisy 1.3 (0.6)57 (73)35 (48)14 (19)8.9 (8)4.9 (7)2.0 (3)15/15

Previous dimension | Dimension = 3 | Next dimension

Δ fopt
f101, 3-D
1e1
4.0
1e0
13
1e-1
19
1e-2
20
1e-3
28
1e-5
33
1e-7
38
#succ
15/15
IPOPsaACM loshchilov noisy 3.4 (4)3.0 (1)3.3 (0.6)3.8 (1)★23.1 (0.6)★33.4 (0.6)★43.5 (0.6)★415/15
SNES schaul noisy 3.9 (3)3.2 (2)3.9 (2)7.7 (1)7.7 (0.8)11 (1)13 (0.9)15/15
xNES schaul noisy 4.8 (4)3.9 (3)5.4 (2)7.3 (3)8.6 (3)12 (1)14 (2)15/15
xNESas schaul noisy 4.4 (4)3.4 (2)4.3 (1)7.3 (2)7.6 (2)11 (2)13 (2)15/15

Δ fopt
f102, 3-D
1e1
4.0
1e0
12
1e-1
23
1e-2
28
1e-3
32
1e-5
39
1e-7
48
#succ
15/15
IPOPsaACM loshchilov noisy 4.0 (3)3.3 (2)2.4 (0.7)2.7 (0.3)★22.8 (0.7)★42.9 (0.4)★43.0 (0.3)★415/15
SNES schaul noisy 4.4 (3)3.8 (3)3.3 (1)5.2 (2)6.8 (1)9.1 (0.8)10 (0.7)15/15
xNES schaul noisy 4.2 (4)3.5 (2)4.0 (3)5.5 (2)7.0 (0.8)10 (2)11 (1)15/15
xNESas schaul noisy 3.2 (4)3.2 (3)3.7 (1)5.1 (2)6.9 (1)8.7 (2)10 (3)15/15

Δ fopt
f103, 3-D
1e1
4.0
1e0
13
1e-1
19
1e-2
19
1e-3
19
1e-5
23
1e-7
43
#succ
15/15
IPOPsaACM loshchilov noisy 2.6 (2)2.6 (1)3.1 (0.7)3.7 (0.6)★34.8 (0.8)★46.9 (2)★34.9 (3)★415/15
SNES schaul noisy 3.9 (3)3.1 (1)4.2 (0.9)7.7 (2)12 (1)24 (5)32 (23)15/15
xNES schaul noisy 4.1 (3)3.0 (0.9)4.3 (2)7.8 (2)11 (2)18 (3)14 (1)15/15
xNESas schaul noisy 4.7 (3)3.5 (2)4.6 (0.9)8.2 (2)12 (3)16 (5)12 (3)15/15

Δ fopt
f104, 3-D
1e1
30
1e0
207
1e-1
602
1e-2
637
1e-3
648
1e-5
658
1e-7
668
#succ
15/15
IPOPsaACM loshchilov noisy 3.0 (3)1.4 (0.3)0.83 (1)0.87 (0.3)0.91 (0.2)0.95 (0.1)★20.98 (0.9)★215/15
SNES schaul noisy 1.8 (1)1.9 (2)28 (39)98 (99)125 (134)3e40/15
xNES schaul noisy 2.4 (2)1.7 (0.9)2.3 (7)2.9 (4)3.3 (5)3.4 (6)3.6 (4)15/15
xNESas schaul noisy 2.7 (2)4.0 (0.3)4.9 (7)9.4 (16)10 (16)10 (16)10 (14)15/15

Δ fopt
f105, 3-D
1e1
28
1e0
507
1e-1
1070
1e-2
3228
1e-3
3247
1e-5
3271
1e-7
3297
#succ
5/15
IPOPsaACM loshchilov noisy 3.4 (2)0.97 (2)1.3 (2)0.46 (0.4)0.47 (0.6)0.48 (0.4)0.48 (0.8)15/15
SNES schaul noisy 2.3 (2)0.92 (0.8)16 (41)20 (16)45 (40)135 (196)3e40/15
xNES schaul noisy 2.4 (1)2.8 (8)3.9 (8)2.5 (4)3.0 (4)3.0 (3)3.1 (3)15/15
xNESas schaul noisy 17 (54)6.0 (8)9.3 (8)5.6 (9)5.9 (6)6.7 (5)6.7 (8)15/15

Δ fopt
f106, 3-D
1e1
29
1e0
68
1e-1
156
1e-2
443
1e-3
759
1e-5
1294
1e-7
1447
#succ
15/15
IPOPsaACM loshchilov noisy 2.5 (0.8)2.8 (2)1.8 (1.0)0.75 (0.2)★20.48 (0.2)★20.36 (0.1)★20.36 (0.1)★315/15
SNES schaul noisy 2.6 (3)5.7 (6)77 (42)158 (424)3e40/15
xNES schaul noisy 2.3 (0.7)4.0 (3)10 (12)4.0 (7)2.6 (6)1.8 (3)1.7 (3)15/15
xNESas schaul noisy 2.7 (2)16 (88)9.3 (3)5.1 (12)3.3 (6)2.1 (2)2.0 (2)15/15

Δ fopt
f107, 3-D
1e1
6.0
1e0
47
1e-1
153
1e-2
232
1e-3
325
1e-5
505
1e-7
685
#succ
15/15
IPOPsaACM loshchilov noisy 3.9 (2)1.4 (2)0.96 (0.5)1.4 (1)1.3 (0.8)1.3 (0.2)1.3 (0.5)15/15
SNES schaul noisy 15 (8)3.3 (0.6)1.5 (2)1.4 (0.7)1.5 (0.7)1.4 (0.3)1.3 (0.4)15/15
xNES schaul noisy 62 (202)17 (40)5.6 (12)4.1 (8)3.9 (6)3.0 (4)2.5 (3)15/15
xNESas schaul noisy 105 (373)14 (3)5.0 (15)3.6 (19)3.0 (7)2.4 (5)2.9 (6)15/15

Δ fopt
f108, 3-D
1e1
6.0
1e0
98
1e-1
1966
1e-2
5527
1e-3
10825
1e-5
17187
1e-7
32181
#succ
15/15
IPOPsaACM loshchilov noisy 10 (24)7.2 (7)1.1 (0.9)1.1 (0.2)0.83 (0.7)★41.1 (0.7)★40.93 (0.3)★415/15
SNES schaul noisy 25 (35)6.0 (7)0.69 (0.3)5.9 (7)3e40/15
xNES schaul noisy 60 (14)36 (50)12 (17)18 (10)150 (255)2e50/15
xNESas schaul noisy 206 (432)56 (103)10 (11)24 (22)80 (55)4e50/15

Δ fopt
f109, 3-D
1e1
4.0
1e0
21
1e-1
93
1e-2
145
1e-3
193
1e-5
251
1e-7
251
#succ
15/15
IPOPsaACM loshchilov noisy 2.9 (1)1.7 (0.9)0.85 (0.2)1.6 (0.5)2.1 (1)3.2 (2)4.5 (2)15/15
SNES schaul noisy 3.5 (4)1.7 (0.8)0.73 (0.5)0.98 (0.4)1.8 (0.4)9.1 (10)502 (534)0/15
xNES schaul noisy 3.2 (2)1.8 (1.0)1.0 (0.6)1.4 (0.3)1.7 (0.7)3.0 (2)5.7 (6)15/15
xNESas schaul noisy 3.4 (3)1.8 (0.9)0.86 (0.4)1.3 (0.6)1.8 (0.8)2.6 (1)6.6 (10)15/15

Δ fopt
f110, 3-D
1e1
56
1e0
922
1e-1
6277
1e-2
20456
1e-3
35327
1e-5
61979
1e-7
63571
#succ
15/15
IPOPsaACM loshchilov noisy 1.6 (1.0)2.7 (2)3.0 (8)1.4 (1)0.97 (0.7)0.57 (0.7)0.57 (0.5)15/15
SNES schaul noisy 2.7 (4)0.82 (1)2.8 (4)2.5 (2)1.8 (2)3e40/15
xNES schaul noisy 2.9 (1)4.5 (6)2.1 (4)1.1 (1)1.1 (2)0.74 (0.7)0.72 (1.0)15/15
xNESas schaul noisy 1.5 (0.7)2.5 (3)4.5 (2)2.3 (2)1.8 (1)1.1 (0.9)1.3 (2)15/15

Δ fopt
f111, 3-D
1e1
174
1e0
3475
1e-1
29972
1e-2
75886
1e-3
1.9e5
1e-5
1.4e6
1e-7
1.5e6
#succ
14/15
IPOPsaACM loshchilov noisy 3.8 (6)1.2 (1)9.1 (15)12 (7)4.9 (3)0.70 (0.5)0.71 (0.5)15/15
SNES schaul noisy 2.1 (2)0.94 (0.4)7.1 (9)3e40/15
xNES schaul noisy 12 (15)4.7 (2)3.1 (3)14 (14)2e50/15
xNESas schaul noisy 12 (28)3.5 (5)1.3 (2)5.9 (5)16 (17)4e50/15

Δ fopt
f112, 3-D
1e1
29
1e0
338
1e-1
1568
1e-2
2478
1e-3
2849
1e-5
3105
1e-7
3534
#succ
15/15
IPOPsaACM loshchilov noisy 3.3 (2)1.7 (1)0.87 (0.7)0.79 (0.6)0.78 (0.4)0.83 (0.3)0.82 (0.5)15/15
SNES schaul noisy 2.7 (2)1.8 (0.3)9.0 (10)23 (34)3e40/15
xNES schaul noisy 2.5 (1)1.0 (2)1.4 (2)1.9 (2)2.7 (3)4.0 (5)4.1 (4)15/15
xNESas schaul noisy 2.8 (2)8.0 (14)5.6 (3)5.0 (5)5.3 (6)5.2 (4)7.2 (6)15/15

Δ fopt
f113, 3-D
1e1
26
1e0
126
1e-1
1948
1e-2
3093
1e-3
3236
1e-5
3236
1e-7
3428
#succ
12/15
IPOPsaACM loshchilov noisy 4.3 (8)4.4 (2)0.75 (0.3)0.68 (0.8)0.70 (0.7)0.70 (0.8)0.74 (0.8)15/15
SNES schaul noisy 2.7 (3)2.7 (4)0.69 (1)0.85 (2)0.92 (2)0.92 (1)1.1 (1)15/15
xNES schaul noisy 1.5 (0.6)5.4 (6)1.5 (2)1.1 (2)1.5 (1)1.5 (2)1.5 (2)15/15
xNESas schaul noisy 8.9 (6)26 (26)4.8 (6)3.4 (3)3.4 (6)3.4 (3)3.6 (3)15/15

Δ fopt
f114, 3-D
1e1
26
1e0
1015
1e-1
6279
1e-2
18884
1e-3
28324
1e-5
28324
1e-7
32580
#succ
15/15
IPOPsaACM loshchilov noisy 10 (2)1.3 (1)0.96 (0.4)0.49 (0.2)★20.40 (0.2)★20.40 (0.2)★20.41 (0.2)★215/15
SNES schaul noisy 11 (12)1.4 (2)2.8 (2)7.5 (9)16 (11)16 (11)3e40/15
xNES schaul noisy 30 (88)4.7 (3)6.3 (9)8.0 (10)13 (5)13 (14)21 (33)3/15
xNESas schaul noisy 143 (317)11 (18)9.5 (9)19 (24)24 (18)24 (17)45 (46)2/15

Δ fopt
f115, 3-D
1e1
12
1e0
118
1e-1
593
1e-2
841
1e-3
890
1e-5
890
1e-7
1246
#succ
15/15
IPOPsaACM loshchilov noisy 2.8 (3)1.1 (2)1.2 (3)1.4 (1)1.5 (1)1.5 (0.7)1.5 (3)15/15
SNES schaul noisy 3.8 (2)1.9 (1)1.6 (3)2.5 (2)10 (11)10 (13)11 (22)9/15
xNES schaul noisy 6.5 (9)6.9 (14)4.8 (7)4.0 (1)4.7 (0.1)4.7 (7)3.4 (7)15/15
xNESas schaul noisy 5.0 (8)4.3 (0.6)3.8 (10)2.8 (9)2.7 (0.1)2.7 (14)4.1 (5)15/15

Δ fopt
f116, 3-D
1e1
169
1e0
2642
1e-1
4419
1e-2
6154
1e-3
7143
1e-5
9614
1e-7
11370
#succ
15/15
IPOPsaACM loshchilov noisy 3.9 (7)0.77 (1.0)0.60 (0.5)0.54 (0.3)0.50 (0.2)0.41 (0.3)0.37 (0.2)15/15
SNES schaul noisy 3.8 (5)1.2 (1)3.8 (8)7.2 (8)30 (34)3e40/15
xNES schaul noisy 9.5 (44)1.3 (3)1.1 (2)0.84 (1)0.74 (0.9)0.60 (1.0)0.80 (1)15/15
xNESas schaul noisy 24 (63)4.7 (6)3.1 (4)2.2 (4)1.9 (4)1.7 (2)1.5 (2)15/15

Δ fopt
f117, 3-D
1e1
2392
1e0
14361
1e-1
39508
1e-2
56448
1e-3
61720
1e-5
73678
1e-7
80041
#succ
15/15
IPOPsaACM loshchilov noisy 2.5 (4)1.3 (1)0.71 (0.4)0.55 (0.2)0.54 (0.2)0.57 (0.2)0.60 (0.2)15/15
SNES schaul noisy 1.5 (1)1.8 (3)11 (15)3e40/15
xNES schaul noisy 3.9 (6)2.3 (3)3.1 (4)11 (10)57 (34)2e50/15
xNESas schaul noisy 3.6 (5)5.1 (6)6.9 (7)20 (10)4e50/15

Δ fopt
f118, 3-D
1e1
109
1e0
205
1e-1
712
1e-2
853
1e-3
1008
1e-5
1283
1e-7
1593
#succ
15/15
IPOPsaACM loshchilov noisy 1.1 (0.4)0.75 (0.3)0.35 (0.2)0.45 (0.2)0.52 (0.3)0.70 (0.4)0.76 (0.3)15/15
SNES schaul noisy 3.9 (3)15 (15)20 (19)87 (80)3e40/15
xNES schaul noisy 1.5 (0.8)2.0 (1)0.79 (0.2)1.00 (2)1.3 (2)1.6 (1)1.5 (2)15/15
xNESas schaul noisy 1.6 (0.5)1.3 (0.6)0.53 (0.2)0.60 (0.3)0.60 (0.2)1.1 (2)1.1 (2)15/15

Δ fopt
f119, 3-D
1e1
2.0
1e0
66
1e-1
421
1e-2
610
1e-3
2005
1e-5
12038
1e-7
15719
#succ
15/15
IPOPsaACM loshchilov noisy 3.1 (4)1.3 (2)0.45 (0.3)0.99 (2)0.65 (0.5)0.55 (0.3)0.84 (0.4)15/15
SNES schaul noisy 14 (5)2.7 (2)0.68 (0.4)0.73 (0.8)0.67 (0.9)11 (13)3e40/15
xNES schaul noisy 10 (18)18 (35)3.5 (3)5.6 (16)2.0 (4)0.65 (0.9)1.1 (0.6)15/15
xNESas schaul noisy 9.0 (17)7.4 (22)2.6 (7)5.1 (4)2.6 (3)1.1 (1)1.3 (2)15/15

Δ fopt
f120, 3-D
1e1
2.0
1e0
81
1e-1
1802
1e-2
6937
1e-3
31935
1e-5
1.2e5
1e-7
2.7e5
#succ
15/15
IPOPsaACM loshchilov noisy 22 (41)9.0 (13)1.6 (1.0)1.1 (0.8)★20.57 (0.3)★40.40 (0.1)0.51 (0.2)15/15
SNES schaul noisy 26 (47)6.9 (9)1.2 (2)19 (36)3e40/15
xNES schaul noisy 455 (1127)55 (51)12 (17)21 (20)50 (51)2e50/15
xNESas schaul noisy 32 (26)57 (41)13 (22)18 (14)105 (137)5e50/15

Δ fopt
f121, 3-D
1e1
2.0
1e0
41
1e-1
116
1e-2
250
1e-3
699
1e-5
2297
1e-7
3321
#succ
15/15
IPOPsaACM loshchilov noisy 3.9 (7)1.0 (0.7)1.5 (1)1.3 (0.8)1.1 (0.6)0.96 (0.2)1.1 (0.8)15/15
SNES schaul noisy 3.2 (5)1.4 (0.8)1.1 (0.5)1.2 (0.1)2.7 (4)3e40/15
xNES schaul noisy 8.4 (8)1.4 (0.9)1.0 (0.5)1.4 (0.4)0.90 (0.6)0.65 (0.3)0.86 (0.6)15/15
xNESas schaul noisy 5.3 (6)1.6 (2)1.3 (1)1.4 (0.7)0.83 (0.4)0.82 (0.4)1.0 (0.7)15/15

Δ fopt
f122, 3-D
1e1
6.0
1e0
357
1e-1
1802
1e-2
4317
1e-3
7595
1e-5
12242
1e-7
19009
#succ
15/15
IPOPsaACM loshchilov noisy 3.0 (2)1.4 (1)1.3 (1)1.1 (0.8)0.90 (0.5)1.1 (1)★21.1 (0.5)★315/15
SNES schaul noisy 6.1 (9)0.86 (1)0.63 (0.3)1.7 (1)9.3 (14)3e40/15
xNES schaul noisy 2.2 (1)1.8 (2)3.9 (5)4.4 (5)3.9 (5)17 (8)3e50/15
xNESas schaul noisy 4.7 (11)13 (31)11 (20)6.7 (7)8.0 (7)52 (62)5e50/15

Δ fopt
f123, 3-D
1e1
5.0
1e0
1546
1e-1
21830
1e-2
50182
1e-3
93159
1e-5
1.9e5
1e-7
4.4e5
#succ
15/15
IPOPsaACM loshchilov noisy 22 (8)1.9 (0.6)0.80 (0.7)★30.76 (0.4)0.69 (0.2)0.78 (0.4)0.99 (0.8)15/15
SNES schaul noisy 5.3 (5)0.96 (4)3e40/15
xNES schaul noisy 5.1 (6)4.9 (7)70 (64)2e50/15
xNESas schaul noisy 24 (67)11 (11)38 (21)5e50/15

Δ fopt
f124, 3-D
1e1
4.0
1e0
196
1e-1
926
1e-2
3416
1e-3
7091
1e-5
12902
1e-7
14882
#succ
14/15
IPOPsaACM loshchilov noisy 2.0 (3)0.71 (0.7)0.90 (0.2)0.70 (0.8)0.69 (0.6)1.1 (0.5)★31.3 (0.6)★315/15
SNES schaul noisy 5.0 (6)0.65 (0.6)0.59 (0.3)2.5 (3)3e40/15
xNES schaul noisy 5.0 (5)2.1 (0.4)0.71 (1)0.83 (0.5)1.7 (0.2)6.5 (9)105 (216)0/15

Δ fopt
f125, 3-D
1e1
1
1e0
1
1e-1
1
1e-2
4419
1e-3
24677
1e-5
36351
1e-7
38000
#succ
15/15
IPOPsaACM loshchilov noisy 1 (0)10 (4)343 (162)1.1 (0.7)0.91 (0.6)0.94 (0.8)1.0 (0.9)15/15
SNES schaul noisy 1.1 (0.2)14 (20)260 (381)1.3 (2)8.2 (8)3e40/15
xNES schaul noisy 1.1 (0.2)9.3 (2)189 (78)2.0 (2)3.2 (4)8.4 (12)20 (20)3/15
xNESas schaul noisy 1.1 (0.5)15 (34)131 (94)3.6 (7)5.5 (5)15 (19)29 (23)3/15

Δ fopt
f126, 3-D
1e1
1
1e0
1
1e-1
1
1e-2
13498
1e-3
1.1e5
1e-5
6.3e5
1e-7
9.6e5
#succ
15/15
IPOPsaACM loshchilov noisy 1 (0)12 (5)737 (656)0.73 (2)0.85 (1)0.84 (0.8)0.90 (1)15/15
SNES schaul noisy 1.2 (0.5)39 (103)399 (518)2.6 (5)3e40/15
xNES schaul noisy 1.3 (1)7.3 (8)1716 (2637)1.5 (2)14 (23)2e50/15
xNESas schaul noisy 1.3 (0.8)62 (94)2313 (724)4.6 (7)6.5 (5)4e50/15

Δ fopt
f127, 3-D
1e1
1
1e0
1
1e-1
1
1e-2
3505
1e-3
39085
1e-5
45347
1e-7
45996
#succ
8/15
IPOPsaACM loshchilov noisy 1 (0)10 (12)144 (96)1.4 (0.7)0.48 (0.5)0.77 (0.3)0.95 (1)15/15
SNES schaul noisy 1.6 (4)11 (10)112 (76)1.6 (2)1.9 (2)3e40/15
xNES schaul noisy 1.2 (0)6.2 (4)139 (77)1.3 (2)1.6 (1)12 (29)22 (27)2/15
xNESas schaul noisy 1.3 (1)12 (12)244 (62)2.8 (3)1.9 (1)5.6 (12)13 (17)8/15

Δ fopt
f128, 3-D
1e1
6.0
1e0
426
1e-1
1125
1e-2
1346
1e-3
1917
1e-5
2715
1e-7
4340
#succ
15/15
IPOPsaACM loshchilov noisy 2.4 (0.8)4.6 (4)18 (39)26 (99)19 (73)198 (619)124 (520)13/15
SNES schaul noisy 2.4 (2)2.7 (1)2.2 (3)1.9 (2)1.3 (1)1.00 (1)0.68 (0.4)15/15
xNES schaul noisy 39 (127)11 (21)9.1 (11)7.6 (7)5.4 (6)3.8 (3)2.4 (2)15/15
xNESas schaul noisy 1.4 (1)30 (21)20 (28)17 (24)12 (5)8.6 (19)5.4 (3)15/15

Δ fopt
f129, 3-D
1e1
5.0
1e0
362
1e-1
3392
1e-2
7851
1e-3
11584
1e-5
28362
1e-7
38534
#succ
15/15
IPOPsaACM loshchilov noisy 3.1 (1)10 (3)2.7 (3)5.8 (3)4.6 (3)10 (1)7.4 (22)14/15
SNES schaul noisy 1.8 (2)3.7 (3)0.69 (0.8)1.0 (0.9)3.0 (2)4.7 (6)11 (12)1/15
xNES schaul noisy 2.9 (5)6.5 (9)5.6 (8)5.9 (11)6.3 (8)16 (13)21 (20)2/15
xNESas schaul noisy 3.3 (7)23 (43)6.5 (5)6.9 (3)13 (14)27 (45)167 (231)0/15

Δ fopt
f130, 3-D
1e1
6.0
1e0
245
1e-1
515
1e-2
916
1e-3
1502
1e-5
11944
1e-7
14346
#succ
12/15
IPOPsaACM loshchilov noisy 2.0 (3)12 (21)15 (23)13 (22)27 (6)13 (2)16 (55)14/15
SNES schaul noisy 2.9 (1)3.7 (4)2.6 (2)1.6 (0.9)0.98 (1)0.17 (0.1)0.34 (0.5)12/15
xNES schaul noisy 2.0 (3)46 (66)42 (56)25 (37)15 (22)2.0 (3)1.9 (1)15/15
xNESas schaul noisy 1.4 (0.9)11 (26)48 (102)28 (56)17 (34)2.2 (4)2.0 (1)15/15

Previous dimension | Dimension = 5 | Next dimension

Δ fopt
f101, 5-D
1e1
11
1e0
37
1e-1
44
1e-2
49
1e-3
62
1e-5
69
1e-7
75
#succ
15/15
IPOPsaACM loshchilov noisy 1.9 (1)2.1 (0.4)2.2 (0.3)★32.3 (0.5)★42.2 (0.5)★42.5 (0.4)★42.8 (0.4)★415/15
SNES schaul noisy 3.8 (1)2.5 (0.7)4.3 (0.9)5.9 (1)6.1 (0.8)8.8 (1)11 (0.6)15/15
xNES schaul noisy 3.4 (1)2.4 (1)5.4 (1)9.0 (0.9)10 (0.7)14 (1)18 (0.7)15/15
xNESas schaul noisy 2.8 (2)2.4 (1)5.2 (2)7.5 (1)7.9 (2)10 (3)13 (3)15/15

Δ fopt
f102, 5-D
1e1
11
1e0
35
1e-1
50
1e-2
66
1e-3
72
1e-5
86
1e-7
99
#succ
15/15
IPOPsaACM loshchilov noisy 2.7 (1)2.1 (0.3)2.0 (0.3)★31.8 (0.2)★41.9 (0.3)★42.1 (0.3)★42.2 (0.4)★415/15
SNES schaul noisy 3.6 (2)2.3 (2)3.7 (1)4.4 (1)5.4 (0.6)7.3 (0.5)8.6 (0.6)15/15
xNES schaul noisy 3.2 (3)2.9 (1)4.9 (1)6.7 (0.9)8.9 (1)12 (2)14 (1)15/15
xNESas schaul noisy 3.4 (2)2.7 (1)4.7 (0.7)5.8 (2)7.3 (1)9.2 (1)10 (2)15/15

Δ fopt
f103, 5-D
1e1
11
1e0
28
1e-1
30
1e-2
30
1e-3
31
1e-5
35
1e-7
115
#succ
15/15
IPOPsaACM loshchilov noisy 3.0 (1)2.7 (0.7)3.4 (1)★23.9 (0.7)★44.7 (1)★47.1 (3)★43.2 (1)★415/15
SNES schaul noisy 2.7 (1)2.7 (0.8)5.5 (2)9.1 (1)13 (0.7)26 (8)21 (9)15/15
xNES schaul noisy 3.7 (2)3.6 (1)8.1 (3)14 (3)20 (3)30 (3)13 (1)15/15
xNESas schaul noisy 2.7 (2)2.9 (1)7.1 (2)12 (3)16 (2)24 (6)11 (2)15/15

Δ fopt
f104, 5-D
1e1
173
1e0
773
1e-1
1287
1e-2
1574
1e-3
1768
1e-5
2040
1e-7
2284
#succ
15/15
IPOPsaACM loshchilov noisy 0.88 (0.3)1.5 (0.6)1.1 (3)0.98 (1)0.89 (0.2)0.80 (1)0.73 (0.4)15/15
SNES schaul noisy 1.5 (1)21 (26)44 (39)137 (122)5e40/15
xNES schaul noisy 1.4 (0.5)2.4 (0.6)5.6 (10)8.1 (8)7.3 (11)6.4 (13)5.9 (9)15/15
xNESas schaul noisy 1.4 (0.4)2.4 (5)2.7 (0.7)2.4 (5)2.3 (2)2.1 (4)2.0 (3)15/15

Δ fopt
f105, 5-D
1e1
167
1e0
1436
1e-1
5174
1e-2
9998
1e-3
10388
1e-5
10824
1e-7
11202
#succ
15/15
IPOPsaACM loshchilov noisy 1.4 (4)1.5 (1)0.63 (0.7)0.34 (0.2)0.33 (0.1)0.32 (0.2)0.32 (0.2)15/15
SNES schaul noisy 1.7 (4)17 (43)12 (6)23 (24)35 (21)5e40/15
xNES schaul noisy 1.3 (0.4)3.6 (5)4.9 (6)3.7 (5)3.6 (3)4.0 (5)4.0 (4)15/15
xNESas schaul noisy 1.4 (0.3)4.0 (18)14 (12)11 (6)11 (13)11 (11)10 (5)15/15

Δ fopt
f106, 5-D
1e1
92
1e0
529
1e-1
1050
1e-2
1770
1e-3
2666
1e-5
2887
1e-7
3087
#succ
15/15
IPOPsaACM loshchilov noisy 1.7 (0.6)0.89 (0.2)★20.60 (0.1)★30.41 (0.3)★30.30 (0.2)★30.32 (0.1)★30.36 (0.2)★315/15
SNES schaul noisy 3.9 (8)26 (25)209 (203)415 (524)276 (211)5e40/15
xNES schaul noisy 2.9 (1)2.0 (1)2.2 (0.7)1.6 (0.4)1.2 (2)1.2 (1)1.3 (0.3)15/15
xNESas schaul noisy 2.7 (1)3.3 (5)3.7 (5)3.0 (2)2.2 (2)2.2 (2)2.7 (5)15/15

Δ fopt
f107, 5-D
1e1
40
1e0
228
1e-1
453
1e-2
692
1e-3
940
1e-5
1376
1e-7
1850
#succ
15/15
IPOPsaACM loshchilov noisy 1.4 (2)1.1 (2)1.4 (2)1.4 (0.9)1.3 (1)1.4 (0.9)1.9 (1)15/15
SNES schaul noisy 4.2 (5)2.0 (3)1.4 (0.7)1.3 (1)1.3 (0.6)1.4 (0.6)1.3 (0.6)15/15
xNES schaul noisy 3.2 (3)31 (11)20 (26)13 (18)10 (16)7.6 (9)45 (8)14/15
xNESas schaul noisy 3.2 (4)7.1 (0.9)4.2 (0.4)6.5 (4)6.9 (10)7.2 (8)7.0 (5)15/15

Δ fopt
f108, 5-D
1e1
87
1e0
5144
1e-1
14469
1e-2
24649
1e-3
30935
1e-5
58628
1e-7
80667
#succ
15/15
IPOPsaACM loshchilov noisy 7.8 (14)1.1 (0.3)0.60 (0.4)★20.60 (0.5)★40.80 (0.3)★40.74 (0.3)★41.0 (0.6)15/15
SNES schaul noisy 15 (16)1.5 (3)8.4 (12)5e40/15
xNES schaul noisy 83 (160)18 (37)36 (28)7e50/15
xNESas schaul noisy 69 (126)12 (8)56 (29)347 (203)1e60/15

Δ fopt
f109, 5-D
1e1
11
1e0
57
1e-1
216
1e-2
375
1e-3
572
1e-5
873
1e-7
946
#succ
15/15
IPOPsaACM loshchilov noisy 2.9 (2)1.6 (0.8)0.83 (0.3)1.1 (0.6)1.2 (0.3)1.2 (0.2)★21.6 (0.3)★315/15
SNES schaul noisy 4.4 (2)1.9 (0.4)0.93 (0.2)1.1 (0.1)1.8 (1)13 (14)371 (742)0/15
xNES schaul noisy 3.4 (3)2.0 (1.0)1.4 (0.4)1.7 (0.6)2.0 (0.5)2.3 (0.1)4.1 (8)15/15
xNESas schaul noisy 3.6 (2)1.7 (0.6)1.3 (0.2)1.6 (0.5)1.8 (0.9)2.3 (0.6)4.1 (0.5)15/15

Δ fopt
f110, 5-D
1e1
949
1e0
33625
1e-1
1.2e5
1e-2
5.6e5
1e-3
5.9e5
1e-5
6.0e5
1e-7
6.1e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.71 (0.2)5.6 (7)3.5 (4)0.81 (0.8)0.78 (0.7)0.84 (0.5)0.84 (0.8)15/15
SNES schaul noisy 0.76 (1)0.33 (0.1)0.65 (0.9)0.22 (0.2)5e40/15
xNES schaul noisy 0.49 (0.3)1.3 (2)2.1 (2)1.1 (1)1.7 (1)2.2 (4)2.2 (3)7/15
xNESas schaul noisy 0.44 (0.2)1.9 (2)3.6 (5)1.2 (1)1.2 (2)1.6 (3)2.3 (4)8/15

Δ fopt
f111, 5-D
1e1
6856
1e0
6.1e5
1e-1
8.8e6
1e-2
2.3e7
1e-3
2.3e7
1e-5
3.1e7
1e-7
3.1e7
#succ
3/15
IPOPsaACM loshchilov noisy 0.50 (0.2)7.4 (7)1.8 (1)1.00 (1)1.00 (1)0.74 (0.6)0.74 (1)3/15
SNES schaul noisy 1.9 (1)5e40/15
xNES schaul noisy 7.2 (8)4.1 (3)0.61 (0.5)8e50/15
xNESas schaul noisy 5.4 (8)1.8 (2)0.96 (0.8)1e60/15

Δ fopt
f112, 5-D
1e1
107
1e0
1684
1e-1
3421
1e-2
4162
1e-3
4502
1e-5
5132
1e-7
5596
#succ
15/15
IPOPsaACM loshchilov noisy 1.3 (0.5)1.5 (1)1.2 (0.5)1.2 (0.7)1.2 (0.2)1.2 (0.4)1.2 (0.2)15/15
SNES schaul noisy 1.9 (0.3)16 (16)19 (14)87 (45)5e40/15
xNES schaul noisy 4.6 (0.8)3.0 (5)3.0 (3)6.7 (9)6.5 (10)12 (15)18 (20)15/15
xNESas schaul noisy 2.3 (0.8)2.6 (3)7.9 (11)11 (11)17 (10)28 (44)37 (20)15/15

Δ fopt
f113, 5-D
1e1
133
1e0
1883
1e-1
8081
1e-2
24021
1e-3
24128
1e-5
24128
1e-7
24402
#succ
15/15
IPOPsaACM loshchilov noisy 3.0 (1)0.82 (0.7)0.47 (0.6)0.21 (0.1)0.35 (0.2)0.35 (0.3)0.35 (0.2)15/15
SNES schaul noisy 1.8 (2)0.78 (0.9)2.1 (4)1.4 (1)3.1 (2)3.1 (2)4.1 (3)5/15
xNES schaul noisy 10 (3)3.3 (5)2.1 (4)1.0 (2)1.2 (2)1.2 (0.6)1.2 (1)15/15
xNESas schaul noisy 1.2 (1.0)2.4 (3)2.5 (3)1.3 (2)1.4 (2)1.4 (2)1.5 (2)15/15

Δ fopt
f114, 5-D
1e1
767
1e0
14720
1e-1
56311
1e-2
78890
1e-3
83272
1e-5
83272
1e-7
84949
#succ
15/15
IPOPsaACM loshchilov noisy 2.6 (1)0.73 (0.8)0.54 (0.9)★30.44 (0.7)★20.44 (0.2)★20.44 (0.4)★20.44 (0.2)★215/15
SNES schaul noisy 2.6 (3)2.4 (5)5e40/15
xNES schaul noisy 10 (16)10 (7)33 (24)136 (59)8e50/15
xNESas schaul noisy 8.0 (12)9.1 (8)157 (114)1e60/15

Δ fopt
f115, 5-D
1e1
64
1e0
485
1e-1
1829
1e-2
2274
1e-3
2550
1e-5
2550
1e-7
2970
#succ
15/15
IPOPsaACM loshchilov noisy 1.6 (0.5)0.98 (1)1.2 (1.0)1.1 (0.2)1.2 (0.5)1.2 (0.5)1.1 (0.4)15/15
SNES schaul noisy 1.6 (2)1.8 (2)4.4 (3)12 (27)40 (85)40 (55)45 (25)4/15
xNES schaul noisy 1.7 (1)1.9 (0.2)2.3 (0.0)2.0 (5)2.5 (3)2.5 (5)2.6 (4)15/15
xNESas schaul noisy 1.3 (0.8)0.88 (2)1.8 (3)1.6 (2)1.8 (3)1.8 (4)1.6 (0.2)15/15

Δ fopt
f116, 5-D
1e1
5730
1e0
14472
1e-1
22311
1e-2
26243
1e-3
26868
1e-5
30329
1e-7
31661
#succ
15/15
IPOPsaACM loshchilov noisy 1.0 (0.9)0.74 (0.4)0.56 (0.5)0.58 (0.4)0.59 (0.2)0.56 (0.3)0.56 (0.6)15/15
SNES schaul noisy 1.6 (0.9)5.9 (5)5e40/15
xNES schaul noisy 0.62 (0.7)0.78 (2)1.3 (2)1.2 (1)1.2 (1)1.2 (1)1.2 (1)14/15
xNESas schaul noisy 1.4 (2)1.2 (0.9)1.1 (2)1.2 (1)1.3 (2)1.6 (1.0)1.8 (1.0)15/15

Δ fopt
f117, 5-D
1e1
26686
1e0
76052
1e-1
1.1e5
1e-2
1.3e5
1e-3
1.4e5
1e-5
1.7e5
1e-7
1.9e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.60 (0.5)★20.43 (0.3)★20.42 (0.2)★20.41 (0.2)0.54 (0.2)0.59 (0.4)0.60 (0.2)15/15
SNES schaul noisy 6.3 (8)5e40/15
xNES schaul noisy 9.4 (13)47 (35)8e50/15
xNESas schaul noisy 8.4 (13)39 (48)1e60/15

Δ fopt
f118, 5-D
1e1
429
1e0
1217
1e-1
1555
1e-2
1774
1e-3
1998
1e-5
2430
1e-7
2913
#succ
15/15
IPOPsaACM loshchilov noisy 0.49 (0.1)★30.25 (0.1)★30.33 (0.1)★20.43 (0.1)0.48 (0.1)★20.63 (0.2)★20.74 (0.2)15/15
SNES schaul noisy 11 (7)33 (26)5e40/15
xNES schaul noisy 1.0 (0.3)0.50 (0.1)0.52 (0.1)0.60 (0.1)0.73 (0.1)1.0 (0.2)1.6 (3)15/15
xNESas schaul noisy 1.00 (0.4)0.48 (0.1)0.48 (0.1)0.57 (0.1)0.69 (0.1)0.96 (0.2)1.1 (0.2)15/15

Δ fopt
f119, 5-D
1e1
12
1e0
657
1e-1
1136
1e-2
2363
1e-3
10372
1e-5
35296
1e-7
49747
#succ
15/15
IPOPsaACM loshchilov noisy 4.8 (11)1.1 (0.9)0.99 (0.8)0.92 (0.9)0.50 (0.4)0.47 (0.1)0.61 (0.5)★215/15
SNES schaul noisy 3.8 (6)0.64 (1.0)0.64 (0.4)0.82 (0.7)0.84 (1)5e40/15
xNES schaul noisy 1.9 (2)0.38 (0.3)0.66 (0.4)5.3 (3)2.6 (2)1.5 (2)12 (12)9/15
xNESas schaul noisy 3.7 (4)2.1 (0.3)6.3 (13)5.0 (8)1.6 (2)2.3 (2)5.9 (6)15/15

Δ fopt
f120, 5-D
1e1
16
1e0
2900
1e-1
18698
1e-2
34491
1e-3
72438
1e-5
3.3e5
1e-7
5.5e5
#succ
15/15
IPOPsaACM loshchilov noisy 26 (36)1.1 (0.6)0.80 (0.5)0.75 (0.2)★40.52 (0.2)★40.36 (0.3)0.64 (0.5)15/15
SNES schaul noisy 12 (36)0.72 (0.8)38 (25)5e40/15
xNES schaul noisy 9.0 (8)14 (17)43 (31)8e50/15
xNESas schaul noisy 51 (168)13 (20)25 (59)521 (580)1e60/15

Δ fopt
f121, 5-D
1e1
9.0
1e0
111
1e-1
273
1e-2
533
1e-3
1583
1e-5
3870
1e-7
6195
#succ
15/15
IPOPsaACM loshchilov noisy 3.1 (3)0.98 (0.5)0.97 (0.5)1.2 (0.3)1.0 (0.7)0.95 (0.3)0.86 (0.2)15/15
SNES schaul noisy 2.5 (3)1.1 (0.5)0.77 (0.3)1.7 (2)11 (16)5e40/15
xNES schaul noisy 2.5 (2)0.96 (0.4)1.2 (0.3)1.5 (0.5)1.3 (3)1.2 (1)1.7 (2)15/15
xNESas schaul noisy 2.5 (1)0.86 (0.8)0.96 (0.7)2.1 (3)1.6 (0.2)1.5 (2)2.3 (1)15/15

Δ fopt
f122, 5-D
1e1
10
1e0
1727
1e-1
9190
1e-2
21579
1e-3
30087
1e-5
53743
1e-7
1.1e5
#succ
15/15
IPOPsaACM loshchilov noisy 2.6 (2)1.2 (2)0.75 (0.9)0.58 (0.5)★20.58 (0.4)★40.77 (0.2)★40.66 (0.1)15/15
SNES schaul noisy 8.0 (7)0.65 (0.6)2.3 (2)33 (37)5e40/15
xNES schaul noisy 1.7 (0.5)1.9 (5)6.4 (8)33 (30)200 (130)8e50/15
xNESas schaul noisy 5.1 (10)5.5 (12)8.9 (8)56 (91)583 (177)1e60/15

Δ fopt
f123, 5-D
1e1
11
1e0
16066
1e-1
81505
1e-2
2.3e5
1e-3
3.4e5
1e-5
6.7e5
1e-7
2.2e6
#succ
15/15
IPOPsaACM loshchilov noisy 23 (41)0.74 (0.4)0.70 (0.4)0.50 (0.1)0.58 (0.3)0.80 (0.4)0.71 (0.2)15/15
SNES schaul noisy 12 (13)3.1 (3)5e40/15
xNES schaul noisy 36 (12)10 (9)8e50/15
xNESas schaul noisy 6.7 (3)7.2 (5)1e60/15

Δ fopt
f124, 5-D
1e1
10
1e0
202
1e-1
1040
1e-2
8974
1e-3
20478
1e-5
45337
1e-7
95200
#succ
15/15
IPOPsaACM loshchilov noisy 2.5 (3)1.3 (0.6)3.1 (4)1.4 (2)0.85 (0.6)0.97 (0.6)★34.1 (12)15/15
SNES schaul noisy 2.8 (4)1.2 (0.5)1.2 (0.5)8.2 (4)5e40/15
xNES schaul noisy 2.4 (3)1.4 (1)3.8 (0.2)1.3 (2)2.0 (2)19 (33)112 (267)1/15
xNESas schaul noisy 2.8 (3)1.2 (0.4)2.0 (0.1)0.91 (0.9)1.1 (2)36 (52)60 (86)1/15

Δ fopt
f125, 5-D
1e1
1
1e0
1
1e-1
1
1e-2
1.3e5
1e-3
2.4e5
1e-5
2.4e5
1e-7
2.5e5
#succ
15/15
IPOPsaACM loshchilov noisy 1.5 (4)18 (21)4308 (4204)0.46 (0.2)0.56 (0.6)0.79 (0.8)4.8 (6)15/15
SNES schaul noisy 1.2 (0.5)33 (20)3958 (4325)5e40/15
xNES schaul noisy 1.1 (0.5)29 (36)9476 (1e4)8e50/15
xNESas schaul noisy 1.3 (0.5)23 (24)7786 (7074)35 (30)1e60/15

Δ fopt
f126, 5-D
1e1
1
1e0
1
1e-1
1
1e-2
8.8e5
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy 1 (0)165 (512)9361 (3732)0.96 (1)1.3e7 (1e7) 1.3e7 (2e7) 1.3e7 (1e7) 5/15
SNES schaul noisy 1.4 (2)32 (33)5.2e4 (4e4)   0/15
xNES schaul noisy 1.1 (0)88 (30)4.4e4 (4e4)   0/15
xNESas schaul noisy 1.1 (0)44 (32)4.2e4 (2e4)   0/15

Δ fopt
f127, 5-D
1e1
1
1e0
1
1e-1
1
1e-2
1.3e5
1e-3
3.4e5
1e-5
3.9e5
1e-7
4.0e5
#succ
15/15
IPOPsaACM loshchilov noisy 1 (0)20 (17)2432 (3820)0.33 (0.2)0.30 (0.2)0.32 (0.3)0.33 (0.1)15/15
SNES schaul noisy 1.1 (0.2)19 (16)3060 (2752)5.5 (4)5e40/15
xNES schaul noisy 1.1 (0.2)19 (19)3395 (6687)5.4 (4)31 (34)7e50/15
xNESas schaul noisy 1.1 (0.2)20 (12)3858 (3993)5.4 (16)1e60/15

Δ fopt
f128, 5-D
1e1
111
1e0
4248
1e-1
7808
1e-2
10500
1e-3
12447
1e-5
17217
1e-7
21162
#succ
15/15
IPOPsaACM loshchilov noisy 1.3 (0.9)16 (43)265 (433)214 (242)203 (281)147 (261)124 (355)11/15
SNES schaul noisy 1.6 (1)1.1 (1)0.78 (0.8)0.59 (0.5)0.51 (0.4)0.40 (0.3)0.45 (0.4)15/15
xNES schaul noisy 7.1 (2)7.3 (11)5.2 (5)3.9 (4)3.3 (2)2.4 (2)2.0 (2)15/15
xNESas schaul noisy 22 (68)6.2 (10)5.7 (11)4.2 (4)3.6 (7)2.6 (2)2.1 (6)15/15

Δ fopt
f129, 5-D
1e1
64
1e0
10710
1e-1
59443
1e-2
2.3e5
1e-3
2.8e5
1e-5
5.1e5
1e-7
5.8e5
#succ
15/15
IPOPsaACM loshchilov noisy 9.2 (12)10 (42)19 (76)16 (11)13 (14)7.1 (24)6.3 (16)9/15
SNES schaul noisy 7.6 (15)1.2 (1)1.8 (1)3.2 (3)5e40/15
xNES schaul noisy 38 (14)15 (10)10 (11)10 (8)11 (16)7e50/15
xNESas schaul noisy 17 (10)11 (22)8.6 (10)6.4 (5)14 (18)1e60/15

Δ fopt
f130, 5-D
1e1
55
1e0
812
1e-1
3034
1e-2
8198
1e-3
32823
1e-5
33889
1e-7
34528
#succ
10/15
IPOPsaACM loshchilov noisy 1.4 (2)27 (57)126 (333)167 (156)42 (88)41 (135)40 (37)13/15
SNES schaul noisy 2.9 (4)4.8 (4)1.6 (2)0.77 (0.4)0.19 (0.5)0.44 (0.4)2.7 (3)3/15
xNES schaul noisy 13 (1)67 (56)25 (22)9.4 (12)2.4 (3)2.3 (4)2.3 (2)15/15
xNESas schaul noisy 17 (0.9)67 (56)28 (52)10 (14)2.6 (2)2.5 (3)2.5 (5)15/15

Previous dimension | Dimension = 10 | Next dimension

Δ fopt
f101, 10-D
1e1
26
1e0
40
1e-1
181
1e-2
185
1e-3
194
1e-5
210
1e-7
226
#succ
15/15
IPOPsaACM loshchilov noisy 3.7 (1)4.1 (1)★21.1 (0.3)★31.2 (0.3)★41.4 (0.3)★41.6 (0.4)★41.8 (0.2)★415/15
SNES schaul noisy 3.6 (2)5.9 (1)2.4 (0.3)3.5 (0.4)4.4 (0.5)6.2 (0.4)7.7 (0.3)15/15
xNES schaul noisy 3.6 (0.5)11 (3)6.6 (0.9)10 (0.7)13 (0.4)19 (0.5)24 (0.7)15/15
xNESas schaul noisy 3.4 (1)10 (2)4.4 (0.5)6.0 (1)7.4 (2)9.1 (2)10 (2)15/15

Δ fopt
f102, 10-D
1e1
26
1e0
41
1e-1
197
1e-2
208
1e-3
226
1e-5
265
1e-7
304
#succ
15/15
IPOPsaACM loshchilov noisy 4.7 (2)4.9 (0.4)1.2 (0.2)★31.3 (0.4)★41.4 (0.2)★41.5 (0.3)★41.5 (0.2)★415/15
SNES schaul noisy 3.8 (2)6.0 (1)2.3 (0.2)3.2 (0.3)3.8 (0.3)4.9 (0.3)5.7 (0.2)15/15
xNES schaul noisy 3.3 (1)11 (2)5.9 (1.0)8.8 (1)12 (0.7)15 (0.4)18 (0.4)15/15
xNESas schaul noisy 3.5 (0.7)10 (4)4.3 (1.0)6.2 (1)7.1 (2)8.2 (3)8.5 (2)15/15

Δ fopt
f103, 10-D
1e1
26
1e0
47
1e-1
126
1e-2
141
1e-3
360
1e-5
363
1e-7
364
#succ
15/15
IPOPsaACM loshchilov noisy 4.4 (0.7)3.7 (0.6)★21.7 (0.4)★41.8 (0.4)★40.94 (0.4)★41.5 (0.2)★42.2 (0.7)★415/15
SNES schaul noisy 4.2 (2)5.0 (1)3.6 (0.3)4.8 (0.3)2.5 (0.3)5.1 (2)13 (10)15/15
xNES schaul noisy 3.0 (0.8)8.9 (3)9.3 (0.7)14 (1)7.5 (0.7)12 (0.5)17 (0.9)15/15
xNESas schaul noisy 3.9 (1)9.1 (1)6.6 (1)8.6 (2)4.2 (2)7.1 (2)11 (2)15/15

Δ fopt
f104, 10-D
1e1
610
1e0
9987
1e-1
16641
1e-2
18419
1e-3
19364
1e-5
20764
1e-7
22011
#succ
15/15
IPOPsaACM loshchilov noisy 0.58 (0.2)★31.2 (0.7)0.81 (0.3)0.74 (0.3)0.71 (0.4)0.67 (0.2)0.63 (0.4)15/15
SNES schaul noisy 1.9 (3)7.6 (5)11 (13)79 (73)1e50/15
xNES schaul noisy 3.1 (0.3)4.7 (10)3.4 (6)3.5 (5)3.4 (5)3.2 (7)3.1 (3)15/15
xNESas schaul noisy 2.4 (0.5)16 (17)15 (22)13 (17)13 (24)12 (19)11 (21)15/15

Δ fopt
f105, 10-D
1e1
950
1e0
21491
1e-1
70146
1e-2
72570
1e-3
74217
1e-5
78195
1e-7
79729
#succ
15/15
IPOPsaACM loshchilov noisy 0.58 (1.0)★21.3 (0.5)★20.40 (0.3)★20.40 (0.2)★20.39 (0.1)★20.37 (0.1)★20.37 (0.1)★215/15
SNES schaul noisy 0.90 (0.2)6.4 (10)21 (15)1e50/15
xNES schaul noisy 1.9 (0.2)35 (43)44 (30)54 (63)69 (68)65 (70)64 (62)7/15
xNESas schaul noisy 1.4 (0.2)80 (85)84 (109)81 (82)80 (114)75 (50)74 (83)8/15

Δ fopt
f106, 10-D
1e1
288
1e0
3425
1e-1
7705
1e-2
8190
1e-3
8501
1e-5
8968
1e-7
9372
#succ
15/15
IPOPsaACM loshchilov noisy 1.1 (0.3)★40.34 (0.1)★40.20 (0.0)★40.23 (0.1)★40.25 (0.1)★40.28 (0.1)★40.30 (0.1)★415/15
SNES schaul noisy 2.4 (0.3)22 (20)29 (30)59 (34)1e50/15
xNES schaul noisy 5.9 (0.4)1.5 (0.3)0.88 (0.2)0.92 (0.1)0.94 (0.1)1.0 (0.1)1.2 (0.2)15/15
xNESas schaul noisy 5.0 (1)1.6 (0.4)0.97 (0.3)1.1 (0.3)1.1 (0.3)1.1 (0.4)1.2 (0.5)15/15

Δ fopt
f107, 10-D
1e1
945
1e0
2255
1e-1
3871
1e-2
5207
1e-3
7352
1e-5
11340
1e-7
14303
#succ
15/15
IPOPsaACM loshchilov noisy 0.97 (1)1.1 (0.6)1.2 (0.8)1.2 (0.4)1.1 (0.5)1.00 (0.1)0.92 (0.8)15/15
SNES schaul noisy 1.2 (1)1.1 (0.9)0.92 (0.9)1.3 (0.9)1.4 (1.0)1.3 (1)2.4 (1)13/15
xNES schaul noisy 0.58 (0.4)0.86 (0.5)6.0 (6)10 (8)10 (11)27 (49)95 (145)5/15
xNESas schaul noisy 0.79 (0.4)1.1 (0.6)1.9 (0.3)6.1 (8)13 (18)33 (64)38 (38)15/15

Δ fopt
f108, 10-D
1e1
10015
1e0
31433
1e-1
47589
1e-2
77508
1e-3
1.1e5
1e-5
1.8e5
1e-7
3.1e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.90 (1)0.79 (0.4)★41.1 (1.0)★40.95 (0.3)★41.1 (0.4)1.2 (0.7)0.84 (0.4)15/15
SNES schaul noisy 3.0 (1)1e50/15
xNES schaul noisy 14 (23)2e60/15
xNESas schaul noisy 8.8 (9)2334 (2187)5e60/15

Δ fopt
f109, 10-D
1e1
28
1e0
286
1e-1
499
1e-2
824
1e-3
1159
1e-5
1786
1e-7
2415
#succ
15/15
IPOPsaACM loshchilov noisy 3.9 (2)0.73 (0.2)0.91 (0.3)0.94 (0.3)1.0 (0.2)★21.1 (0.3)★31.1 (0.1)★415/15
SNES schaul noisy 3.9 (2)0.90 (0.2)1.1 (0.2)1.5 (1)2.8 (2)15 (10)296 (392)0/15
xNES schaul noisy 3.6 (0.9)1.5 (0.5)3.1 (0.2)3.6 (0.5)4.0 (0.3)4.6 (0.3)4.8 (0.3)15/15
xNESas schaul noisy 3.1 (1)1.7 (0.3)2.9 (1)3.5 (0.6)4.0 (0.4)4.4 (0.4)4.6 (0.3)15/15

Δ fopt
f110, 10-D
1e1
11224
1e0
3.3e7
1e-1
7.0e7
1e-2
1.6e8
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy 0.77 (0.4)   0/15
SNES schaul noisy 1.5 (1)0.01 (5e-3)0.02 (0.0)   0/15
xNES schaul noisy 3.3 (1)1.1 (1)   0/15
xNESas schaul noisy 4.1 (4)   0/15

Δ fopt
f111, 10-D
1e1
82927
1e0
1e-1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy 0.85 (0.6)★4      0/15
SNES schaul noisy       0/15
xNES schaul noisy       0/15
xNESas schaul noisy       0/15

Δ fopt
f112, 10-D
1e1
884
1e0
11583
1e-1
16109
1e-2
17394
1e-3
18239
1e-5
19461
1e-7
20444
#succ
15/15
IPOPsaACM loshchilov noisy 0.43 (0.1)★30.92 (0.2)0.92 (0.2)0.97 (0.3)★20.99 (0.3)★31.00 (0.2)★30.99 (0.2)★315/15
SNES schaul noisy 1.2 (1)3.6 (2)15 (8)1e50/15
xNES schaul noisy 2.0 (0.2)1.7 (1)6.7 (10)18 (20)26 (27)54 (67)53 (115)13/15
xNESas schaul noisy 1.5 (0.3)3.0 (3)10 (12)42 (72)65 (38)87 (99)185 (171)11/15

Δ fopt
f113, 10-D
1e1
4469
1e0
27633
1e-1
1.0e5
1e-2
1.1e5
1e-3
1.1e5
1e-5
1.1e5
1e-7
1.1e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.71 (0.5)0.67 (0.5)0.28 (0.2)0.29 (0.1)0.29 (0.2)0.29 (0.1)0.30 (0.1)15/15
SNES schaul noisy 0.62 (0.8)2.1 (4)4.4 (4)13 (12)1e50/15
xNES schaul noisy 0.38 (0.5)1.7 (0.8)1.8 (3)4.3 (5)5.7 (4)5.7 (5)5.7 (7)14/15
xNESas schaul noisy 0.83 (2)0.63 (1)0.63 (0.7)3.8 (7)4.8 (3)4.8 (4)5.2 (6)15/15

Δ fopt
f114, 10-D
1e1
36612
1e0
1.3e5
1e-1
3.3e5
1e-2
3.9e5
1e-3
3.9e5
1e-5
3.9e5
1e-7
4.1e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.59 (0.4)0.49 (0.3)★30.35 (0.2)0.35 (0.1)0.41 (0.3)0.41 (0.2)0.41 (0.2)15/15
SNES schaul noisy 19 (19)1e50/15
xNES schaul noisy 18 (24)262 (198)2e60/15
xNESas schaul noisy 14 (7)5e60/15

Δ fopt
f115, 10-D
1e1
398
1e0
2899
1e-1
8595
1e-2
12320
1e-3
12602
1e-5
12602
1e-7
12807
#succ
15/15
IPOPsaACM loshchilov noisy 0.70 (0.3)0.70 (0.5)0.65 (0.6)0.86 (1)0.95 (0.9)0.95 (0.4)0.95 (0.5)15/15
SNES schaul noisy 1.4 (2)3.0 (2)24 (28)1e50/15
xNES schaul noisy 0.98 (0.3)0.45 (0.1)0.63 (1)1.1 (1)1.3 (2)1.3 (2)1.6 (2)15/15
xNESas schaul noisy 0.87 (0.2)0.44 (0.1)0.60 (0.6)0.57 (0.1)0.62 (0.8)0.62 (0.8)0.80 (1)15/15

Δ fopt
f116, 10-D
1e1
71444
1e0
1.1e5
1e-1
1.1e5
1e-2
1.1e5
1e-3
1.2e5
1e-5
1.2e5
1e-7
1.7e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.53 (0.3)0.48 (0.2)0.49 (0.4)0.50 (0.3)★30.50 (0.2)★30.50 (0.3)★40.39 (0.2)★415/15
SNES schaul noisy 21 (28)1e50/15
xNES schaul noisy 0.87 (1)2.0 (6)2.9 (2)5.6 (7)6.2 (4)30 (33)111 (160)2/15
xNESas schaul noisy 1.1 (1)1.6 (3)3.0 (2)10 (6)14 (12)29 (24)55 (47)5/15

Δ fopt
f117, 10-D
1e1
2.3e5
1e0
4.0e5
1e-1
4.9e5
1e-2
6.3e5
1e-3
6.5e5
1e-5
7.2e5
1e-7
7.9e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.42 (0.1)★40.37 (0.2)0.33 (0.1)0.29 (0.2)0.31 (0.2)0.34 (0.1)0.40 (0.2)15/15
SNES schaul noisy 1e50/15
xNES schaul noisy 2e60/15
xNESas schaul noisy 5e60/15

Δ fopt
f118, 10-D
1e1
1348
1e0
3241
1e-1
4345
1e-2
5298
1e-3
6097
1e-5
7070
1e-7
8063
#succ
15/15
IPOPsaACM loshchilov noisy 0.44 (0.1)★40.37 (0.1)0.49 (0.2)0.51 (0.3)★30.53 (0.2)★40.58 (0.2)★40.62 (0.1)★415/15
SNES schaul noisy 93 (98)1e50/15
xNES schaul noisy 1.2 (0.1)0.70 (0.0)0.76 (0.0)0.94 (0.1)1.1 (0.1)1.4 (0.1)1.7 (0.2)15/15
xNESas schaul noisy 1.1 (0.1)0.62 (0.0)0.66 (0.1)0.85 (0.1)1.0 (0.2)1.3 (0.1)1.6 (0.2)15/15

Δ fopt
f119, 10-D
1e1
128
1e0
3122
1e-1
4969
1e-2
11200
1e-3
36536
1e-5
3.0e5
1e-7
4.0e5
#succ
15/15
IPOPsaACM loshchilov noisy 1.5 (2)1.3 (1)1.1 (0.6)1.0 (0.4)0.69 (0.5)★30.28 (0.1)★40.25 (0.1)★415/15
SNES schaul noisy 1.9 (2)1.5 (2)2.3 (2)4.8 (4)1e50/15
xNES schaul noisy 1.7 (1)2.4 (0.4)4.3 (6)7.8 (7)19 (21)3e60/15
xNESas schaul noisy 1.5 (1)2.1 (3)7.4 (4)15 (15)15 (13)33 (52)5e60/15

Δ fopt
f120, 10-D
1e1
471
1e0
39910
1e-1
74629
1e-2
1.6e5
1e-3
4.4e5
1e-5
1.3e6
1e-7
2.5e6
#succ
15/15
IPOPsaACM loshchilov noisy 4.3 (2)0.66 (0.2)★20.90 (0.4)★30.88 (0.4)0.51 (0.2)0.50 (0.3)0.47 (0.2)15/15
SNES schaul noisy 5.3 (4)11 (6)1e50/15
xNES schaul noisy 3.8 (6)53 (52)2e60/15
xNESas schaul noisy 31 (65)65 (53)5e60/15

Δ fopt
f121, 10-D
1e1
72
1e0
317
1e-1
631
1e-2
1475
1e-3
3676
1e-5
9995
1e-7
18211
#succ
15/15
IPOPsaACM loshchilov noisy 1.1 (0.6)0.98 (0.5)1.1 (0.3)1.0 (0.2)0.76 (0.2)★40.76 (0.1)★30.72 (0.1)★215/15
SNES schaul noisy 0.77 (0.5)0.79 (0.3)1.0 (0.2)2.6 (1)94 (68)1e50/15
xNES schaul noisy 0.91 (0.6)1.2 (0.4)2.7 (0.3)2.5 (0.2)1.6 (0.2)1.1 (0.1)0.90 (0.1)15/15
xNESas schaul noisy 0.99 (0.3)1.0 (0.3)2.5 (0.3)2.5 (0.4)1.6 (0.2)1.0 (0.1)0.83 (0.1)15/15

Δ fopt
f122, 10-D
1e1
55
1e0
11563
1e-1
33165
1e-2
97901
1e-3
1.4e5
1e-5
4.4e5
1e-7
8.2e5
#succ
15/15
IPOPsaACM loshchilov noisy 8.1 (19)0.74 (0.4)0.72 (0.6)★40.74 (0.4)★40.68 (0.1)★40.51 (0.5)0.81 (0.8)15/15
SNES schaul noisy 5.3 (9)2.0 (2)1e50/15
xNES schaul noisy 3.2 (2)8.8 (10)511 (345)2e60/15
xNESas schaul noisy 2.7 (3)7.7 (11)1066 (942)5e60/15

Δ fopt
f123, 10-D
1e1
40
1e0
94387
1e-1
3.9e5
1e-2
6.6e5
1e-3
1.3e6
1e-5
3.3e6
1e-7
1.0e7
#succ
7/15
IPOPsaACM loshchilov noisy 20 (23)0.84 (0.5)★30.64 (0.3)0.74 (0.4)0.64 (0.3)0.79 (0.4)0.79 (0.3)11/15
SNES schaul noisy 39 (81)1e50/15
xNES schaul noisy 95 (299)2e60/15
xNESas schaul noisy 20 (10)786 (1179)5e60/15

Δ fopt
f124, 10-D
1e1
37
1e0
614
1e-1
10452
1e-2
34296
1e-3
52887
1e-5
1.4e5
1e-7
3.3e5
#succ
15/15
IPOPsaACM loshchilov noisy 2.1 (1)1.2 (0.5)1.4 (2)1.2 (1)1.2 (0.6)1.2 (0.8)3.3 (3)15/15
SNES schaul noisy 1.5 (1)1.2 (0.4)0.96 (1)43 (55)1e50/15
xNES schaul noisy 1.2 (1)1.4 (0.5)0.42 (0.1)0.36 (0.1)1.7 (1)2e60/15
xNESas schaul noisy 1.5 (2)1.4 (0.4)0.42 (0.0)0.50 (0.7)1.2 (0.7)39 (42)5e60/15

Δ fopt
f125, 10-D
1e1
1
1e0
1
1e-1
1
1e-2
1.1e6
1e-3
3.0e6
1e-5
6.4e6
1e-7
6.4e6
#succ
13/15
IPOPsaACM loshchilov noisy 1 (0)118 (93)2.3e5 (2e5)0.62 (0.6)0.75 (0.6)0.45 (0.4)1.0 (0.3)11/15
SNES schaul noisy 1.1 (0.2)124 (77)1.5e6 (9e5)1e50/15
xNES schaul noisy 1.2 (0.2)73 (35)2e60/15
xNESas schaul noisy 1.1 (0)91 (64)5e60/15

Δ fopt
f126, 10-D
1e1
1
1e0
1
1e-1
1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy 1 (0)1077 (1736)3.6e6 (3e6)    0/15
SNES schaul noisy 1.2 (0)1083 (1699)    0/15
xNES schaul noisy 1.2 (0)432 (310)    0/15
xNESas schaul noisy 1.3 (1)2529 (8535)    0/15

Δ fopt
f127, 10-D
1e1
1
1e0
1
1e-1
1
1e-2
8.0e5
1e-3
1.3e6
1e-5
2.1e6
1e-7
2.1e6
#succ
15/15
IPOPsaACM loshchilov noisy 1 (0)76 (36)4.1e4 (8e4)★30.38 (0.6)0.67 (0.6)0.59 (0.5)0.91 (0.4)15/15
SNES schaul noisy 1 (0)56 (61)1e50/15
xNES schaul noisy 1 (0)38 (15)5.9e6 (4e6)2e60/15
xNESas schaul noisy 1.3 (0.2)51 (42)1.9e6 (2e6)5e60/15

Δ fopt
f128, 10-D
1e1
9151
1e0
1.4e5
1e-1
1.4e5
1e-2
1.4e5
1e-3
2.9e5
1e-5
3.8e5
1e-7
5.3e5
#succ
9/15
IPOPsaACM loshchilov noisy 1.2 (3)16 (30)23 (73)23 (52)15 (15)19 (13)14 (22)10/15
SNES schaul noisy 0.53 (0.7)0.20 (0.1)0.21 (0.1)0.21 (0.1)0.10 (0.2)0.10 (0.3)0.09 (0.1)12/15
xNES schaul noisy 2.7 (3)1.7 (1)1.7 (2)1.6 (2)0.81 (1)0.84 (0.6)0.65 (0.5)14/15
xNESas schaul noisy 1.1 (0.7)0.98 (0.7)2.1 (5)2.9 (3)1.4 (2)1.3 (2)0.94 (1)15/15

Δ fopt
f129, 10-D
1e1
53967
1e0
1.4e6
1e-1
1.4e6
1e-2
1.4e6
1e-3
1.4e6
1e-5
1.4e6
1e-7
1.5e6
#succ
14/15
IPOPsaACM loshchilov noisy 0.68 (0.6)4.4 (5)4.3 (6)4.3 (7)4.3 (5)4.3 (2)4.3 (6)10/15
SNES schaul noisy 1.9 (2)1e50/15
xNES schaul noisy 5.7 (6)2e60/15
xNESas schaul noisy 6.0 (5)54 (70)5e60/15

Δ fopt
f130, 10-D
1e1
481
1e0
5878
1e-1
37470
1e-2
70516
1e-3
70910
1e-5
72192
1e-7
73340
#succ
10/15
IPOPsaACM loshchilov noisy 5.3 (4)240 (702)67 (134)35 (20)35 (82)35 (103)34 (78)13/15
SNES schaul noisy 2.0 (3)3.0 (6)0.68 (2)0.36 (0.9)0.43 (0.8)1.1 (3)4.2 (12)3/15
xNES schaul noisy 11 (0.3)36 (30)7.8 (9)4.2 (5)4.1 (5)4.1 (5)4.1 (4)15/15
xNESas schaul noisy 10 (16)34 (26)6.7 (10)3.6 (5)3.6 (3)3.5 (8)3.5 (8)15/15

Previous dimension | Dimension = 20 | Next dimension

Δ fopt
f101, 20-D
1e1
59
1e0
425
1e-1
571
1e-2
677
1e-3
700
1e-5
739
1e-7
783
#succ
15/15
IPOPsaACM loshchilov noisy 4.7 (0.7)0.86 (0.2)★40.73 (0.1)★40.70 (0.1)★40.78 (0.1)★40.88 (0.1)★40.99 (0.1)★415/15
SNES schaul noisy 4.1 (0.6)1.5 (0.1)1.9 (0.2)2.2 (0.1)2.8 (0.1)3.9 (0.1)4.7 (0.2)15/15
xNES schaul noisy 5.5 (2)7.1 (0.2)10 (0.4)13 (0.6)17 (0.5)24 (0.3)30 (0.7)15/15
xNESas schaul noisy 4.8 (2)5.1 (1)5.7 (0.7)6.0 (2)6.7 (0.9)7.7 (2)8.3 (1.0)30/30

Δ fopt
f102, 20-D
1e1
231
1e0
399
1e-1
579
1e-2
755
1e-3
921
1e-5
1157
1e-7
1407
#succ
15/15
IPOPsaACM loshchilov noisy 1.2 (0.3)0.93 (0.2)★30.75 (0.1)★40.66 (0.1)★40.61 (0.1)★40.60 (0.0)★40.60 (0.0)★415/15
SNES schaul noisy 1.1 (0.1)1.6 (0.3)1.9 (0.0)2.0 (0.2)2.1 (0.1)2.5 (0.1)2.7 (0.1)15/15
xNES schaul noisy 1.5 (0.5)7.7 (0.4)10 (0.6)12 (0.4)13 (0.2)15 (0.2)17 (0.4)15/15
xNESas schaul noisy 1.5 (0.4)5.8 (1)6.2 (2)5.9 (2)5.6 (1.0)5.4 (3)5.4 (2)30/30

Δ fopt
f103, 20-D
1e1
65
1e0
417
1e-1
629
1e-2
1043
1e-3
1313
1e-5
1893
1e-7
2464
#succ
14/15
IPOPsaACM loshchilov noisy 3.9 (0.6)0.83 (0.1)★40.66 (0.1)★40.47 (0.1)★40.52 (0.2)★40.55 (0.1)★40.58 (0.1)★415/15
SNES schaul noisy 3.8 (1)1.5 (0.1)1.7 (0.1)1.5 (0.1)1.6 (0.1)1.7 (0.1)3.4 (2)15/15
xNES schaul noisy 6.2 (2)7.4 (0.7)10 (0.4)8.7 (0.3)9.4 (0.3)10 (0.5)11 (0.2)15/15
xNESas schaul noisy 5.0 (2)5.0 (1)4.9 (2)3.8 (2)4.1 (2)5.5 (1)6.8 (2)30/30

Δ fopt
f104, 20-D
1e1
23690
1e0
85656
1e-1
1.7e5
1e-2
1.8e5
1e-3
1.8e5
1e-5
1.9e5
1e-7
2.0e5
#succ
15/15
IPOPsaACM loshchilov noisy 3.5 (2)1.1 (0.5)★40.55 (0.1)★40.53 (0.2)★40.52 (0.3)★40.50 (0.2)★40.49 (0.3)★415/15
SNES schaul noisy 2e50/15
xNES schaul noisy 8.1 (10)8e60/15
xNESas schaul noisy 24 (28)2e70/30

Δ fopt
f105, 20-D
1e1
1.9e5
1e0
6.1e5
1e-1
6.3e5
1e-2
6.4e5
1e-3
6.5e5
1e-5
6.6e5
1e-7
6.7e5
#succ
15/15
IPOPsaACM loshchilov noisy 1.0 (0.4)★20.36 (0.1)0.35 (0.2)0.35 (0.2)0.34 (0.2)0.34 (0.1)0.33 (0.2)15/15
SNES schaul noisy 2e50/15
xNES schaul noisy 17 (17)7e60/15
xNESas schaul noisy 24 (27)2e70/21

Δ fopt
f106, 20-D
1e1
11480
1e0
21668
1e-1
23746
1e-2
24788
1e-3
25470
1e-5
26492
1e-7
27360
#succ
15/15
IPOPsaACM loshchilov noisy 0.28 (0.1)★40.37 (0.3)★40.39 (0.3)★40.43 (0.2)★40.45 (0.0)★40.46 (0.1)★40.47 (0.2)★415/15
SNES schaul noisy 123 (204)2e50/15
xNES schaul noisy 1.3 (0.1)1.2 (0.1)1.3 (0.2)1.3 (0.1)1.3 (0.1)1.5 (0.1)1.7 (0.1)15/15
xNESas schaul noisy 1.2 (0.1)1.4 (0.2)1.5 (0.3)1.6 (0.3)1.7 (1)1.8 (0.8)2.0 (0.2)30/30

Δ fopt
f107, 20-D
1e1
8571
1e0
13582
1e-1
16226
1e-2
21100
1e-3
27357
1e-5
52486
1e-7
65052
#succ
15/15
IPOPsaACM loshchilov noisy 0.83 (0.4)1.3 (0.5)★31.4 (1)★41.3 (1)★41.3 (1)★41.0 (0.5)★40.94 (0.2)★415/15
SNES schaul noisy 2.6 (3)14 (19)2e50/15
xNES schaul noisy 1.7 (0.3)69 (56)879 (622)4696 (4222)7e60/15
xNESas schaul noisy 1.6 (6)44 (37)786 (987)1e70/15

Δ fopt
f108, 20-D
1e1
58063
1e0
97228
1e-1
2.0e5
1e-2
4.0e5
1e-3
4.5e5
1e-5
6.3e5
1e-7
9.0e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.72 (0.3)★41.2 (0.5)★41.1 (1)0.76 (0.5)1.2 (0.6)1.6 (0.4)1.4 (0.3)15/15
SNES schaul noisy 2e50/15
xNES schaul noisy 6e60/15
xNESas schaul noisy 1e70/15

Δ fopt
f109, 20-D
1e1
333
1e0
632
1e-1
1138
1e-2
1679
1e-3
2287
1e-5
3583
1e-7
4952
#succ
15/15
IPOPsaACM loshchilov noisy 0.93 (0.2)0.78 (0.2)★20.78 (0.2)★30.85 (0.3)★30.89 (0.4)★40.79 (0.2)★40.75 (0.2)★415/15
SNES schaul noisy 0.77 (0.2)1.1 (0.2)1.3 (0.2)2.2 (1)3.8 (4)15 (12)103 (105)3/15
xNES schaul noisy 0.94 (0.3)5.5 (0.6)7.7 (0.4)9.4 (0.5)10 (0.4)10 (0.4)10 (0.3)15/15
xNESas schaul noisy 1.0 (0.3)4.7 (0.6)6.9 (0.7)8.7 (0.4)9.4 (0.7)10 (0.3)13 (8)15/15

Δ fopt
f110, 20-D
1e1
1e0
1e-1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy        0/15
SNES schaul noisy        0/15
xNES schaul noisy        0/15
xNESas schaul noisy        0/15

Δ fopt
f111, 20-D
1e1
1e0
1e-1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy        0/15
SNES schaul noisy        0/15
xNES schaul noisy        0/15
xNESas schaul noisy        0/15

Δ fopt
f112, 20-D
1e1
25552
1e0
64124
1e-1
69621
1e-2
72175
1e-3
73557
1e-5
76137
1e-7
78238
#succ
15/15
IPOPsaACM loshchilov noisy 0.89 (0.1)0.79 (0.1)★40.84 (0.1)★40.87 (0.1)★40.88 (0.1)★40.88 (0.1)★40.88 (0.1)★415/15
SNES schaul noisy 113 (74)2e50/15
xNES schaul noisy 0.93 (0.2)52 (57)1454 (1671)7e60/15
xNESas schaul noisy 0.99 (0.2)59 (49)952 (632)3952 (5368)3878 (6797)3747 (3880)3646 (2979)1/15

Δ fopt
f113, 20-D
1e1
50123
1e0
3.6e5
1e-1
5.6e5
1e-2
5.9e5
1e-3
5.9e5
1e-5
5.9e5
1e-7
5.9e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.54 (0.2)0.35 (0.2)★40.31 (0.1)★40.32 (0.1)★40.32 (0.2)★40.32 (0.1)★40.32 (0.1)★415/15
SNES schaul noisy 4.5 (5)2e50/15
xNES schaul noisy 5.0 (5)137 (107)7e60/15
xNESas schaul noisy 1.4 (0.9)179 (106)1e70/15

Δ fopt
f114, 20-D
1e1
2.1e5
1e0
1.1e6
1e-1
1.4e6
1e-2
1.6e6
1e-3
1.6e6
1e-5
1.6e6
1e-7
1.6e6
#succ
15/15
IPOPsaACM loshchilov noisy 0.71 (0.2)★40.39 (0.2)0.40 (0.2)0.50 (0.3)0.50 (0.2)0.50 (0.2)0.55 (0.3)15/15
SNES schaul noisy 2e50/15
xNES schaul noisy 6e60/15
xNESas schaul noisy 1e70/15

Δ fopt
f115, 20-D
1e1
2405
1e0
30268
1e-1
91749
1e-2
1.3e5
1e-3
1.3e5
1e-5
1.3e5
1e-7
1.3e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.75 (2)0.67 (0.3)0.31 (0.2)4.8 (17)4.8 (9)4.8 (9)4.7 (9)15/15
SNES schaul noisy 1.2 (2)29 (43)2e50/15
xNES schaul noisy 1.0 (0.2)0.25 (0.0)0.14 (9e-3)0.51 (0.5)0.62 (0.5)0.62 (0.4)0.69 (0.9)15/15
xNESas schaul noisy 1.0 (0.2)0.24 (1e-2)0.14 (0.0)0.37 (0.6)0.37 (0.2)0.37 (0.0)0.46 (0.0)15/15

Δ fopt
f116, 20-D
1e1
5.0e5
1e0
6.9e5
1e-1
8.9e5
1e-2
1.0e6
1e-3
1.0e6
1e-5
1.1e6
1e-7
1.1e6
#succ
15/15
IPOPsaACM loshchilov noisy 0.46 (0.1)0.35 (0.1)0.30 (0.1)0.28 (0.1)0.28 (0.1)0.29 (0.1)0.30 (0.1)15/15
SNES schaul noisy 2e50/15
xNES schaul noisy 101 (68)7e60/15
xNESas schaul noisy 39 (31)2e70/15

Δ fopt
f117, 20-D
1e1
1.8e6
1e0
2.5e6
1e-1
2.6e6
1e-2
2.8e6
1e-3
2.9e6
1e-5
3.2e6
1e-7
3.6e6
#succ
15/15
IPOPsaACM loshchilov noisy 0.29 (0.1)0.26 (0.0)0.29 (0.1)0.31 (0.1)0.35 (0.1)0.42 (0.3)0.48 (0.2)15/15
SNES schaul noisy 2e50/15
xNES schaul noisy 5e60/15
xNESas schaul noisy 8e60/30

Δ fopt
f118, 20-D
1e1
6908
1e0
11786
1e-1
17514
1e-2
22206
1e-3
26342
1e-5
30062
1e-7
32659
#succ
15/15
IPOPsaACM loshchilov noisy 0.42 (0.1)★40.49 (0.1)★30.54 (0.1)★30.54 (0.1)★40.54 (0.2)★40.56 (0.1)★40.58 (0.1)★415/15
SNES schaul noisy 2e50/15
xNES schaul noisy 1.0 (0.0)0.90 (0.0)0.90 (0.0)1.0 (0.1)1.1 (0.1)1.5 (0.1)1.8 (0.1)15/15
xNESas schaul noisy 0.94 (0.1)0.77 (0.1)0.80 (0.1)0.94 (0.1)1.1 (0.1)1.7 (0.4)2.1 (0.1)15/15

Δ fopt
f119, 20-D
1e1
2771
1e0
29365
1e-1
35930
1e-2
63288
1e-3
4.1e5
1e-5
1.4e6
1e-7
1.9e6
#succ
15/15
IPOPsaACM loshchilov noisy 1.5 (2)0.74 (0.2)★20.88 (0.3)★30.98 (0.5)★30.33 (0.1)★30.25 (0.1)0.37 (0.2)15/15
SNES schaul noisy 1.4 (2)22 (30)2e50/15
xNES schaul noisy 0.54 (0.3)14 (12)2741 (2467)7e60/15
xNESas schaul noisy 0.53 (0.4)10 (11)851 (535)1e70/13

Δ fopt
f120, 20-D
1e1
36040
1e0
1.8e5
1e-1
2.8e5
1e-2
8.5e5
1e-3
1.6e6
1e-5
6.7e6
1e-7
1.4e7
#succ
13/15
IPOPsaACM loshchilov noisy 0.65 (0.5)0.80 (0.5)★41.2 (0.4)0.77 (0.1)0.87 (0.6)0.42 (0.1)0.39 (0.2)15/15
SNES schaul noisy 10 (14)2e50/15
xNES schaul noisy 14 (9)6e60/15
xNESas schaul noisy 6.9 (6)1e70/15

Δ fopt
f121, 20-D
1e1
249
1e0
769
1e-1
1426
1e-2
3433
1e-3
9304
1e-5
34434
1e-7
57404
#succ
15/15
IPOPsaACM loshchilov noisy 1.2 (0.4)0.85 (0.2)0.92 (0.3)★20.78 (0.1)★40.69 (0.1)★40.58 (0.1)★40.71 (0.2)★415/15
SNES schaul noisy 0.83 (0.2)0.89 (0.2)1.3 (0.3)6.4 (6)2e50/15
xNES schaul noisy 0.74 (0.2)3.4 (0.6)6.7 (0.5)5.3 (0.3)2.9 (0.1)1.3 (0.1)1.1 (0.0)15/15
xNESas schaul noisy 0.81 (0.4)2.8 (0.4)6.3 (0.4)5.1 (0.4)2.9 (0.2)1.7 (0.6)1.7 (0.7)15/15

Δ fopt
f122, 20-D
1e1
692
1e0
52008
1e-1
1.4e5
1e-2
3.8e5
1e-3
7.9e5
1e-5
2.0e6
1e-7
5.8e6
#succ
15/15
IPOPsaACM loshchilov noisy 2.5 (3)0.94 (0.5)★30.81 (0.3)★30.71 (0.3)0.53 (0.1)0.51 (0.2)0.57 (0.3)15/15
SNES schaul noisy 1.9 (2)2e50/15
xNES schaul noisy 0.91 (0.9)6e60/15
xNESas schaul noisy 0.81 (0.6)1e70/13

Δ fopt
f123, 20-D
1e1
1063
1e0
5.3e5
1e-1
1.5e6
1e-2
3.3e6
1e-3
5.3e6
1e-5
2.7e7
1e-7
1.6e8
#succ
0/15
IPOPsaACM loshchilov noisy 7.6 (9)0.77 (0.5)0.81 (0.5)0.74 (0.4)1.1 (0.7)0.63 (0.6)0.92 (1)0/15
SNES schaul noisy 7.7 (11)2e50/15
xNES schaul noisy 9.0 (20)6e60/15
xNESas schaul noisy 11 (9)1e70/15

Δ fopt
f124, 20-D
1e1
192
1e0
1959
1e-1
40840
1e-2
64491
1e-3
1.3e5
1e-5
3.9e5
1e-7
8.0e5
#succ
15/15
IPOPsaACM loshchilov noisy 0.86 (0.4)3.0 (8)2.2 (2)1.7 (2)1.4 (0.4)0.76 (0.4)4.0 (5)14/15
SNES schaul noisy 0.58 (0.5)0.69 (0.2)0.66 (1)2e50/15
xNES schaul noisy 0.63 (0.3)2.7 (0.4)0.58 (0.1)1.3 (2)6.4 (8)7e60/15
xNESas schaul noisy 0.84 (0.2)2.7 (0.3)0.59 (0.1)0.93 (0.2)4.0 (3)2e70/15

Δ fopt
f125, 20-D
1e1
1
1e0
1
1e-1
1
1e-2
1.2e7
1e-3
2.5e7
1e-5
8.0e7
1e-7
8.1e7
#succ
4/15
IPOPsaACM loshchilov noisy 1 (0)1083 (1840)3.3e6 (2e6)0.46 (0.3)0.61 (0.5)1.1 (0.9)1.1 (2)3/15
SNES schaul noisy 1.3 (1)625 (563)2e50/15
xNES schaul noisy 1.5 (1)451 (457)6e60/30
xNESas schaul noisy 1.7 (1)470 (237)1e70/15

Δ fopt
f126, 20-D
1e1
1
1e0
1
1e-1
1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
IPOPsaACM loshchilov noisy 1 (0)7156 (2180)    0/15
SNES schaul noisy 1.3 (0.8)2.3e4 (2e4)    0/15
xNES schaul noisy 1.2 (0.5)2.5e4 (4e4)    0/30
xNESas schaul noisy 1.4 (0.2)2.7e4 (4e4)    0/15

Δ fopt
f127, 20-D
1e1
1
1e0
1
1e-1
1
1e-2
1.6e6
1e-3
4.4e6
1e-5
7.3e6
1e-7
7.4e6
#succ
15/15
IPOPsaACM loshchilov noisy 1 (0)238 (127)3.3e5 (4e5)0.50 (0.3)0.75 (0.8)0.93 (0.5)0.97 (0.7)14/15
SNES schaul noisy 1.2 (0)167 (71)2e50/15
xNES schaul noisy 1.4 (1)128 (86)6e60/30
xNESas schaul noisy 1.5 (0.8)131 (98)1e70/15

Δ fopt
f128, 20-D
1e1
1.4e5
1e0
1.3e7
1e-1
1.7e7
1e-2
1.7e7
1e-3
1.7e7
1e-5
1.7e7
1e-7
1.7e7
#succ
9/15
IPOPsaACM loshchilov noisy 1.3 (4)0.59 (2)1.1 (0.9)1.1 (1)1.1 (2)1.1 (1)1.1 (0.9)8/15
SNES schaul noisy 4.2 (4)2e50/15
xNES schaul noisy 28 (30)0.97 (1.0)1.2 (1.0)1.6 (2)2.0 (3)3.4 (5)3.4 (4)3/30
xNESas schaul noisy 19 (18)0.40 (0.5)0.78 (0.5)0.83 (0.9)1.0 (1.0)1.0 (0.4)1.3 (2)6/15

Δ fopt
f129, 20-D
1e1
7.8e6
1e0
4.1e7
1e-1
4.2e7
1e-2
4.2e7
1e-3
4.2e7
1e-5
4.2e7
1e-7
4.2e7
#succ
5/15
IPOPsaACM loshchilov noisy 0.41 (1)0.28 (0.7)0.36 (0.5)0.36 (0.6)0.36 (0.6)0.36 (0.6)0.36 (0.5)9/15
SNES schaul noisy 2e50/15
xNES schaul noisy 6e60/30
xNESas schaul noisy 1e70/15

Δ fopt
f130, 20-D
1e1
4904
1e0
93149
1e-1
2.5e5
1e-2
2.5e5
1e-3
2.5e5
1e-5
2.6e5
1e-7
2.6e5
#succ
7/15
IPOPsaACM loshchilov noisy 0.55 (1)27 (18)30 (9)30 (24)30 (73)30 (43)30 (80)12/15
SNES schaul noisy 0.76 (0.5)0.19 (0.3)0.09 (0.1)0.09 (0.1)0.11 (0.1)0.36 (0.5)2.1 (1.0)2/15
xNES schaul noisy 14 (8)10 (14)4.9 (5)4.9 (2)4.9 (7)4.9 (8)4.9 (4)29/30
xNESas schaul noisy 15 (18)5.3 (11)5.4 (5)5.4 (10)5.4 (10)5.4 (14)5.4 (11)15/15

Previous dimension | Dimension = 40 | First dimension

Δ fopt
f101, 40-D
1e1
584
1e0
905
1e-1
1255
1e-2
1575
1e-3
1913
1e-5
2556
1e-7
3237
#succ
15/15
SNES schaul noisy 1.2 (0.2)★51.9 (0.1)★52.1 (0.1)★52.3 (0.1)★52.4 (0.1)★52.5 (0.0)★52.6 (0.0)★515/15
xNESas schaul noisy 9.3 (1)16 (3)16 (5)15 (8)14 (8)12 (9)10 (3)30/30

Δ fopt
f102, 40-D
1e1
821
1e0
1286
1e-1
1742
1e-2
2211
1e-3
2629
1e-5
3557
1e-7
4504
#succ
15/15
SNES schaul noisy 0.94 (0.2)★41.3 (0.1)★41.5 (0.1)★41.6 (0.0)★41.8 (0.1)★41.8 (0.0)★41.9 (0.0)★415/15
xNES schaul noisy 6.8 (1)14 (0.5)18 (0.4)20 (0.3)22 (0.3)23 (0.3)24 (0.3)15/15
xNESas schaul noisy 6.9 (1.0)12 (4)12 (4)12 (6)11 (6)10 (8)9.3 (7)30/30

Δ fopt
f103, 40-D
1e1
529
1e0
1223
1e-1
1693
1e-2
2161
1e-3
2720
1e-5
3818
1e-7
4963
#succ
15/15
SNES schaul noisy 1.4 (0.2)★41.4 (0.1)★41.6 (0.1)★41.7 (0.1)★41.8 (0.1)★42.0 (0.4)★44.3 (2)★415/15
xNES schaul noisy 11 (0.9)15 (0.9)18 (0.5)21 (0.4)22 (0.1)24 (0.2)25 (0.3)15/15
xNESas schaul noisy 10 (2)12 (5)12 (4)12 (7)13 (8)19 (16)24 (19)30/30

Δ fopt
f104, 40-D
1e1
3.1e6
1e0
3.6e6
1e-1
3.7e6
1e-2
3.7e6
1e-3
3.7e6
1e-5
3.7e6
1e-7
3.8e6
#succ
15/15
SNES schaul noisy 4e50/15
xNES schaul noisy 1e70/1
xNESas schaul noisy 3e70/30

Δ fopt
f105, 40-D
1e1
5.6e6
1e0
5.9e6
1e-1
6.0e6
1e-2
6.1e6
1e-3
6.1e6
1e-5
6.2e6
1e-7
6.3e6
#succ
15/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 2e70/19

Δ fopt
f106, 40-D
1e1
69253
1e0
90821
1e-1
95524
1e-2
98075
1e-3
99526
1e-5
1.0e5
1e-7
1.0e5
#succ
15/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 1.4 (0.2)★41.6 (0.9)★41.6 (0.5)★41.7 (0.1)★41.7 (0.1)★42.0 (0.8)★43.0 (3)★415/15

Δ fopt
f107, 40-D
1e1
38382
1e0
57745
1e-1
74911
1e-2
86794
1e-3
97700
1e-5
1.2e5
1e-7
1.4e5
#succ
15/15
SNES schaul noisy 4e50/15
xNES schaul noisy 9e60/2
xNESas schaul noisy 2e70/27

Δ fopt
f108, 40-D
1e1
2.1e5
1e0
5.6e5
1e-1
9.4e5
1e-2
1.5e6
1e-3
1.8e6
1e-5
2.8e6
1e-7
4.3e6
#succ
15/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 2e70/15

Δ fopt
f109, 40-D
1e1
841
1e0
1456
1e-1
2504
1e-2
3671
1e-3
4958
1e-5
7525
1e-7
10054
#succ
15/15
SNES schaul noisy 0.92 (0.1)★41.4 (0.1)★41.6 (0.1)★42.9 (2)★43.4 (2)★418 (13)129 (76)1/15
xNESas schaul noisy 6.6 (1)15 (2)19 (1)22 (0.8)23 (0.4)30 (13)32 (7)15/15

Δ fopt
f110, 40-D
1e1
1e0
1e-1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
SNES schaul noisy        0/15
xNESas schaul noisy        0/15

Δ fopt
f111, 40-D
1e1
1e0
1e-1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
SNES schaul noisy        0/15
xNESas schaul noisy        0/3

Δ fopt
f112, 40-D
1e1
1.8e5
1e0
2.5e5
1e-1
2.7e5
1e-2
2.7e5
1e-3
2.8e5
1e-5
2.8e5
1e-7
2.9e5
#succ
14/15
SNES schaul noisy 4e50/15

Δ fopt
f113, 40-D
1e1
4.4e5
1e0
2.5e6
1e-1
2.7e6
1e-2
3.0e6
1e-3
3.0e6
1e-5
3.0e6
1e-7
3.0e6
#succ
15/15
SNES schaul noisy 4e50/15
xNES schaul noisy 2e70/1
xNESas schaul noisy 3e70/15

Δ fopt
f114, 40-D
1e1
1.7e6
1e0
6.5e6
1e-1
1.0e7
1e-2
1.2e7
1e-3
1.2e7
1e-5
1.2e7
1e-7
1.2e7
#succ
15/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 2e70/15

Δ fopt
f115, 40-D
1e1
20541
1e0
1.9e5
1e-1
3.7e5
1e-2
4.2e5
1e-3
4.2e5
1e-5
4.2e5
1e-7
4.2e5
#succ
15/15
SNES schaul noisy 0.93 (1)4e50/15
xNESas schaul noisy 0.92 (0.1)0.21 (9e-3)★40.24 (6e-3)★40.96 (0.9)★40.96 (0.6)★40.96 (0.9)★40.96 (0.4)15/15

Δ fopt
f116, 40-D
1e1
4.2e6
1e0
4.3e6
1e-1
4.5e6
1e-2
4.7e6
1e-3
4.8e6
1e-5
5.1e6
1e-7
5.4e6
#succ
15/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 3e70/15

Δ fopt
f117, 40-D
1e1
8.4e6
1e0
1.2e7
1e-1
1.4e7
1e-2
1.5e7
1e-3
1.7e7
1e-5
1.9e7
1e-7
2.1e7
#succ
15/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 2e70/7

Δ fopt
f118, 40-D
1e1
39183
1e0
47888
1e-1
81836
1e-2
96249
1e-3
1.1e5
1e-5
1.2e5
1e-7
1.3e5
#succ
15/15
SNES schaul noisy 4e50/15

Δ fopt
f119, 40-D
1e1
42381
1e0
1.2e5
1e-1
1.6e5
1e-2
5.3e5
1e-3
2.1e6
1e-5
1.0e7
1e-7
1.3e7
#succ
15/15
SNES schaul noisy 31 (17)4e50/15
xNES schaul noisy 7.4 (7e-4)1e70/2
xNESas schaul noisy 3.6 (3)3e70/15

Δ fopt
f120, 40-D
1e1
1.6e5
1e0
7.1e5
1e-1
1.7e6
1e-2
3.4e6
1e-3
1.1e7
1e-5
4.3e7
1e-7
2.4e8
#succ
3/15
SNES schaul noisy 4e50/15
xNESas schaul noisy 2e70/15

Δ fopt
f121, 40-D
1e1
728
1e0
1739
1e-1
3362
1e-2
8180
1e-3
27554
1e-5
97381
1e-7
2.0e5
#succ
14/15
SNES schaul noisy 0.77 (0.3)1.1 (0.1)★41.8 (0.1)★48.9 (8)4e50/15
xNESas schaul noisy 1.0 (0.3)11 (0.6)16 (0.5)12 (0.2)5.6 (0.8)★42.9 (1)★41.8 (0.7)★415/15

Δ fopt
f122, 40-D
1e1
4936
1e0
2.7e5
1e-1
6.4e5
1e-2
1.1e6
1e-3
2.8e6
1e-5
1.2e7
1e-7
3.3e7
#succ
11/15
SNES schaul noisy 2.1 (2)4e50/15
xNESas schaul noisy 1.2 (3)2e70/15

Δ fopt
f123, 40-D
1e1
13229
1e0
2.4e6
1e-1
9.4e6
1e-2
1.6e7
1e-3
2.4e7
1e-5
2.3e8
1e-7
7.3e8
#succ
0/15
SNES schaul noisy 77 (76)4e50/15
xNESas schaul noisy 25 (18)2e70/4

Δ fopt
f124, 40-D
1e1
570
1e0
30165
1e-1
2.1e5
1e-2
2.6e5
1e-3
3.7e5
1e-5
1.1e6
1e-7
2.2e6
#succ
15/15
SNES schaul noisy 0.64 (0.2)0.15 (0.1)0.69 (0.7)4e50/15

Δ fopt
f125, 40-D
1e1
1
1e0
4611
1e-1
1.1e8
1e-2
1.1e8
1e-3
5.4e8
1e-5
1e-7
#succ
0/15
SNES schaul noisy 2.3 (1)44 (44)  0/15
xNES schaul noisy 1.4 (0.5)3.2 (2)  0/15
xNESas schaul noisy 1.7 (0.8)2.3 (2)  0/15

Δ fopt
f126, 40-D
1e1
1
1e0
8740
1e-1
1e-2
1e-3
1e-5
1e-7
#succ
0/15
SNES schaul noisy 1.4 (1)     0/15
xNES schaul noisy 2.1 (2)1088 (892)     0/12
xNESas schaul noisy 1.8 (2)1183 (1257)     0/15

Δ fopt
f127, 40-D
1e1
1
1e0
702
1e-1
1.8e6
1e-2
1.1e7
1e-3
1.5e7
1e-5
2.6e7
1e-7
2.7e7
#succ
15/15
SNES schaul noisy 1.5 (0.8)0.58 (0.3)4e50/15
xNESas schaul noisy 1.7 (0.5)0.68 (0.2)2e70/10

Δ fopt
f128, 40-D
1e1
4.1e6
1e0
3.8e7
1e-1
1.1e8
1e-2
1.1e8
1e-3
1.1e8
1e-5
1.1e8
1e-7
1.1e8
#succ
4/15
SNES schaul noisy 4e50/15

Δ fopt
f129, 40-D
1e1
3.5e7
1e0
3.8e7
1e-1
1.0e8
1e-2
1.0e8
1e-3
1.0e8
1e-5
1.0e8
1e-7
1.0e8
#succ
2/15
SNES schaul noisy 4e50/15

Δ fopt
f130, 40-D
1e1
12699
1e0
2.8e5
1e-1
1.7e6
1e-2
1.7e6
1e-3
1.7e6
1e-5
1.7e6
1e-7
1.7e6
#succ
3/15
SNES schaul noisy 0.64 (0.4)0.27 (0.2)0.07 (0.1)0.07 (0.1)0.07 (0.1)0.13 (0.1)0.23 (0.3)4/15

Average runtime (aRT in number of function evaluations) divided by the respective best aRT measured during BBOB-2009 in different dimensions. The aRT and in braces, as dispersion measure, the half difference between 10 and 90%-tile of bootstrapped run lengths appear for each algorithm and target, the corresponding reference aRT  in the first row. The different target ∆f-values are shown in the top row. #succ is the number of trials that reached the (final) target fopt+ 10−8. The median number of conducted function evaluations is additionally given in italics, if the target in the last column was never reached. Entries, succeeded by a star, are statistically significantly better (according to the rank-sum test) when compared to all other algorithms of the table, with p = 0.05 or p = 10−k when the number k following the star is larger than 1, with Bonferroni correction by the number of functions (24). A ↓ indicates the same tested against the best algorithm from BBOB 2009. Best results are printed in bold.
Data produced with COCO v2.0.778