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Table showing the ERT in number of function evaluations

Last dimension | Dimension = 20 | Next dimension

Δ fopt
f1, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 334 (69)612 (64)862 (82)1133 (83)1410 (90)1965 (136)2514 (97)15/15
LBFGS largescale Varelas 65 (0)65 (0)65 (0)65 (0)65 (0)65 (0)65 (0)15/15
LMCMA14 largescale Varelas 293 (64)534 (50)780 (39)1016 (52)1279 (66)1786 (66)2270 (61)15/15
LMCMA17 largescale Varelas 344 (36)644 (49)941 (63)1238 (78)1532 (65)2103 (81)2680 (86)15/15
R10ES largescale Varelas 318 (81)536 (85)773 (62)1018 (71)1281 (71)1788 (121)2291 (159)15/15
R2ES largescale Varelas 313 (59)533 (20)795 (62)1046 (63)1286 (66)1773 (98)2247 (94)15/15
V2D-CMA largescale Varelas 313 (36)532 (71)733 (130)947 (130)1176 (126)1617 (200)2049 (224)15/15
VD-CMA largescale Varelas 359 (35)598 (88)859 (78)1131 (85)1392 (70)1933 (142)2448 (112)15/15
VkD-CMA largescale Varelas 294 (62)515 (102)717 (131)949 (171)1181 (113)1605 (219)2059 (252)15/15
m2DLBFGS largescale Varelas 65 (0)65 (0)65 (0)65 (0)65 (0)65 (0)65 (0)15/15
sepCMA largescale Varelas 285 (56)530 (76)754 (88)991 (88)1208 (51)1684 (126)2129 (124)15/15

Δ fopt
f2, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8426 (1408)1.0e4 (1618)1.1e4 (1401)1.1e4 (1101)1.2e4 (968)1.3e4 (1014)1.3e4 (780)15/15
LBFGS largescale Varelas 1.7e4 (4930)2.8e4 (8972)4.1e4 (1e4)5.0e4 (2e4)5.9e4 (2e4)7.8e4 (1e4)1.1e5 (3e4)14/15
LMCMA14 largescale Varelas 7.8e4 (2e4)1.5e5 (6e4)2.0e5 (6e4)2.5e5 (6e4)3.1e5 (9e4)4.0e5 (1e5)5.0e5 (1e5)15/15
LMCMA17 largescale Varelas 5.4e4 (2e4)8.8e4 (3e4)1.2e5 (3e4)1.5e5 (3e4)1.9e5 (3e4)2.5e5 (5e4)3.2e5 (7e4)15/15
R10ES largescale Varelas 6.0e4 (2e4)8.6e4 (2e4)1.2e5 (2e4)1.4e5 (3e4)1.7e5 (3e4)2.3e5 (4e4)2.9e5 (5e4)14/15
R2ES largescale Varelas 6.1e4 (3e4)9.6e4 (2e4)1.4e5 (4e4)1.8e5 (6e4)2.1e5 (5e4)2.8e5 (5e4)3.6e5 (6e4)15/15
V2D-CMA largescale Varelas 5775 (880)6577 (811)7097 (583)7618 (344)7907 (356)8383 (389)8807 (381)15/15
VD-CMA largescale Varelas 5935 (600)6724 (649)7222 (458)7547 (492)7852 (285)8370 (240)8929 (271)15/15
VkD-CMA largescale Varelas 3676 (799)4518 (1071)5044 (1004)5472 (1417)5760 (1307)6296 (1365)6789 (1330)15/15
m2DLBFGS largescale Varelas 4999 (1202)6296 (1276)7232 (882)7800 (772)8129 (1208)8562 (514)8898 (1286)15/15
sepCMA largescale Varelas 2390 (314)★32661 (226)★42904 (280)★43137 (236)★43371 (256)★43836 (270)★44319 (301)★415/15

Δ fopt
f3, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.6e6 (7e6)1e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 1e60/15
LMCMA17 largescale Varelas 1.5e7 (9e6)1e60/15
R10ES largescale Varelas 1e60/15
R2ES largescale Varelas 1e60/15
V2D-CMA largescale Varelas 3.1e6 (1e6)1e60/15
VD-CMA largescale Varelas 1.5e7 (2e7)1e60/15
VkD-CMA largescale Varelas 3.3e6 (4e6)1e60/15
m2DLBFGS largescale Varelas 1e60/15
sepCMA largescale Varelas 3.2e6 (3e6)1e60/15

Δ fopt
f4, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 1e60/15
LMCMA17 largescale Varelas 1e60/15
R10ES largescale Varelas 1e60/15
R2ES largescale Varelas 1e60/15
V2D-CMA largescale Varelas 1e60/15
VD-CMA largescale Varelas 1e60/15
VkD-CMA largescale Varelas 1e60/15
m2DLBFGS largescale Varelas 1e60/15
sepCMA largescale Varelas 1e60/15

Δ fopt
f5, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 216 (54)258 (48)261 (40)263 (48)263 (52)263 (37)263 (52)15/15
LBFGS largescale Varelas 96 (10)115 (21)121 (16)121 (16)121 (16)121 (10)121 (10)15/15
LMCMA14 largescale Varelas 177 (40)194 (56)197 (62)197 (57)197 (60)197 (44)197 (46)15/15
LMCMA17 largescale Varelas 172 (37)188 (31)191 (26)193 (34)193 (36)193 (33)193 (34)15/15
R10ES largescale Varelas 155 (36)174 (36)177 (37)177 (22)177 (23)177 (35)177 (23)15/15
R2ES largescale Varelas 169 (47)187 (48)187 (36)187 (48)187 (41)187 (28)187 (47)15/15
V2D-CMA largescale Varelas 160 (57)179 (66)181 (67)181 (55)181 (64)181 (76)181 (57)15/15
VD-CMA largescale Varelas 223 (47)244 (54)246 (53)248 (47)248 (48)248 (54)248 (50)15/15
VkD-CMA largescale Varelas 204 (49)244 (74)256 (78)256 (79)256 (54)256 (76)256 (58)15/15
m2DLBFGS largescale Varelas 97 (16)115 (21)121 (26)121 (26)121 (26)121 (26)121 (21)15/15
sepCMA largescale Varelas 246 (67)295 (46)307 (38)307 (35)307 (39)307 (43)307 (40)15/15

Δ fopt
f6, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2181 (684)3088 (708)3992 (620)4905 (604)5819 (840)7754 (615)9607 (616)15/15
LBFGS largescale Varelas 2862 (1916)5297 (1948)8178 (1990)1.1e4 (2205)1.3e4 (2289)1.9e4 (3208)2.4e4 (3654)15/15
LMCMA14 largescale Varelas 6.7e4 (5e4)1.7e5 (7e4)2.7e5 (5e4)3.8e5 (7e4)4.9e5 (1e5)6.9e5 (9e4)9.4e5 (6e5)10/15
LMCMA17 largescale Varelas 4454 (3273)1.7e4 (6802)3.2e4 (1e4)4.7e4 (9308)6.2e4 (1e4)9.4e4 (2e4)1.3e5 (2e4)15/15
R10ES largescale Varelas 3.1e4 (3e4)1.1e5 (6e4)1.9e5 (8e4)2.6e5 (8e4)5.6e5 (6e5)7.0e6 (1e7)1e60/15
R2ES largescale Varelas 1956 (309)3210 (661)4853 (2274)6944 (2773)9638 (3100)1.4e4 (4186)1.9e4 (4844)15/15
V2D-CMA largescale Varelas 3320 (1502)5519 (2229)7512 (3111)9319 (3421)1.2e4 (2925)1.6e4 (3366)2.1e4 (3690)15/15
VD-CMA largescale Varelas 2530 (521)3676 (712)4721 (458)5873 (704)7015 (1148)9197 (1639)1.2e4 (1506)15/15
VkD-CMA largescale Varelas 2857 (945)4846 (2312)7712 (2520)1.1e4 (2235)1.9e4 (3e4)2.9e4 (4e4)3.8e4 (5e4)15/15
m2DLBFGS largescale Varelas 3018 (1150)6072 (3408)8776 (3959)1.1e4 (2084)1.3e4 (3050)1.9e4 (4368)2.5e4 (3392)15/15
sepCMA largescale Varelas 2199 (678)3252 (916)4348 (812)5613 (939)6833 (1791)9286 (2398)1.2e4 (2676)15/15

Δ fopt
f7, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1991 (2548)2.3e5 (2e5)★24.4e6 (4e6)★31e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 7.2e5 (8e5)1e60/15
LMCMA17 largescale Varelas 8.5e5 (8e5)1e60/15
R10ES largescale Varelas 6.5e6 (1e7)1e60/15
R2ES largescale Varelas 1.4e7 (2e7)1e60/15
V2D-CMA largescale Varelas 4.4e4 (1e5)1.4e7 (2e7)1e60/15
VD-CMA largescale Varelas 3545 (4957)3.1e6 (3e6)1e60/15
VkD-CMA largescale Varelas 1.3e4 (2e4)6.9e6 (1e7)1e60/15
m2DLBFGS largescale Varelas 1e60/15
sepCMA largescale Varelas 5450 (6883)4.5e6 (1e6)1e60/15

Δ fopt
f8, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 6815 (1367)1.5e4 (4900)1.6e4 (8572)1.7e4 (772)1.8e4 (8438)1.8e4 (654)1.9e4 (4319)15/15
LBFGS largescale Varelas 1347 (373)2430 (898)2673 (788)2796 (814)2865 (798)2952 (777)3026 (205)15/15
LMCMA14 largescale Varelas 7821 (3056)8.8e4 (3e5)9.0e4 (3e5)9.2e4 (2636)9.2e4 (2754)9.3e4 (3e5)9.3e4 (2558)14/15
LMCMA17 largescale Varelas 5143 (2215)8.1e4 (3e5)8.2e4 (2832)8.3e4 (3e5)8.4e4 (2553)8.5e4 (3e5)8.5e4 (3e5)14/15
R10ES largescale Varelas 8781 (2937)3.8e5 (8e5)3.8e5 (5e5)3.8e5 (2e6)3.8e5 (1e6)3.8e5 (1e6)3.8e5 (5e5)11/15
R2ES largescale Varelas 5918 (755)1.1e4 (778)1.3e4 (998)1.3e4 (769)1.4e4 (1051)1.5e4 (1148)1.6e4 (936)15/15
V2D-CMA largescale Varelas 5992 (1795)1.3e4 (5712)1.4e4 (9437)1.5e4 (5189)1.5e4 (9602)1.6e4 (9460)1.7e4 (9134)15/15
VD-CMA largescale Varelas 7727 (1685)1.9e4 (1348)2.1e4 (1e4)2.2e4 (6250)2.2e4 (1e4)2.3e4 (1e4)2.4e4 (6263)15/15
VkD-CMA largescale Varelas 6054 (1545)1.2e4 (4327)1.3e4 (3087)1.4e4 (3264)1.4e4 (1510)1.5e4 (2366)1.6e4 (4511)15/15
m2DLBFGS largescale Varelas 1279 (278)2532 (1444)2755 (205)2865 (236)2928 (851)2994 (809)3043 (1492)15/15
sepCMA largescale Varelas 1.3e4 (5729)6.6e4 (7e4)7.5e4 (7e4)8.6e4 (7e4)9.9e4 (7e4)1.3e5 (7e4)1.5e5 (4e4)15/15

Δ fopt
f9, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 6745 (1154)1.3e4 (1350)1.4e4 (828)1.5e4 (1892)1.6e4 (934)1.6e4 (910)1.7e4 (1808)15/15
LBFGS largescale Varelas 1349 (415)3005 (2122)3243 (2054)3361 (1192)3420 (2180)3502 (1544)3579 (1129)15/15
LMCMA14 largescale Varelas 7862 (2313)1.7e4 (2493)1.9e4 (1863)2.0e4 (1963)2.1e4 (2197)2.2e4 (1834)2.2e4 (1802)15/15
LMCMA17 largescale Varelas 5569 (1203)8.1e4 (3e5)8.3e4 (3e5)8.4e4 (3e5)8.4e4 (3e5)8.5e4 (3e5)8.5e4 (3e5)14/15
R10ES largescale Varelas 7271 (1626)8.7e4 (3e5)8.9e4 (3e5)9.0e4 (3e5)9.0e4 (3e5)9.1e4 (3e5)9.2e4 (3e5)14/15
R2ES largescale Varelas 5819 (1375)1.6e5 (3e5)1.7e5 (3e5)1.7e5 (3e5)1.7e5 (5e5)1.7e5 (5e5)1.7e5 (5e5)13/15
V2D-CMA largescale Varelas 6529 (1100)1.7e4 (1e4)1.8e4 (8602)1.9e4 (1e4)1.9e4 (1e4)2.0e4 (5020)2.0e4 (1e4)15/15
VD-CMA largescale Varelas 8705 (1716)1.7e4 (4422)2.0e4 (5693)2.1e4 (5498)2.1e4 (4277)2.2e4 (1946)2.3e4 (5049)15/15
VkD-CMA largescale Varelas 6711 (2156)1.5e4 (6060)1.7e4 (9649)1.8e4 (9750)1.8e4 (6116)1.9e4 (5969)1.9e4 (1e4)15/15
m2DLBFGS largescale Varelas 1367 (352)2249 (614)2448 (1056)2565 (1040)2637 (1034)2693 (1008)2743 (1024)15/15
sepCMA largescale Varelas 4.2e4 (2764)8.4e4 (9e4)1.2e5 (9e4)4.6e6 (6e6)1e60/15

Δ fopt
f10, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 9213 (1405)1.1e4 (897)1.2e4 (788)1.2e4 (591)1.2e4 (578)1.3e4 (750)1.4e4 (635)★415/15
LBFGS largescale Varelas 1.6e4 (5969)2.6e4 (7161)3.8e4 (7754)4.8e4 (1e4)6.6e4 (3e4)3.3e5 (3e5)1e60/15
LMCMA14 largescale Varelas 7.2e4 (2e4)1.2e5 (4e4)1.9e5 (6e4)2.4e5 (5e4)3.0e5 (7e4)4.1e5 (5e4)5.2e5 (1e5)15/15
LMCMA17 largescale Varelas 4.1e4 (1e4)6.9e4 (2e4)1.0e5 (4e4)1.3e5 (4e4)1.7e5 (4e4)2.2e5 (6e4)2.8e5 (5e4)15/15
R10ES largescale Varelas 4.7e4 (9912)7.5e4 (1e4)1.0e5 (2e4)1.3e5 (2e4)1.6e5 (3e4)2.3e5 (3e4)2.8e5 (2e4)15/15
R2ES largescale Varelas 7.0e4 (2e4)1.1e5 (4e4)1.4e5 (3e4)1.8e5 (4e4)2.2e5 (4e4)2.9e5 (4e4)3.6e5 (7e4)15/15
V2D-CMA largescale Varelas 2.7e5 (3e5)2.6e6 (3e6)1e60/15
VD-CMA largescale Varelas 1.3e6 (2e6)1.4e7 (1e7)1e60/15
VkD-CMA largescale Varelas 3.5e4 (1e4)4.0e4 (7166)4.2e4 (5558)4.3e4 (6380)4.4e4 (6324)4.5e4 (4984)4.5e4 (5216)15/15
m2DLBFGS largescale Varelas 5013 (1124)★46359 (1092)★47286 (1234)★47733 (1166)★48641 (2694)★29910 (1465)4.5e5 (2e5)0/15
sepCMA largescale Varelas 1e60/15

Δ fopt
f11, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4494 (328)5005 (258)5433 (257)5790 (206)6154 (208)6791 (206)7413 (201)★415/15
LBFGS largescale Varelas 576 (231)964 (168)1501 (294)2236 (704)3716 (3140)3.5e4 (3e4)1e60/15
LMCMA14 largescale Varelas 1.8e4 (1e4)5.2e4 (2e4)8.2e4 (3e4)1.1e5 (2e4)1.5e5 (2e4)2.0e5 (2e4)2.6e5 (3e4)15/15
LMCMA17 largescale Varelas 8543 (3032)2.4e4 (7559)4.2e4 (2e4)5.9e4 (1e4)7.6e4 (2e4)1.1e5 (2e4)1.5e5 (2e4)15/15
R10ES largescale Varelas 1.2e4 (5620)3.2e4 (7222)5.4e4 (1e4)7.4e4 (1e4)9.3e4 (1e4)1.3e5 (1e4)1.7e5 (8568)15/15
R2ES largescale Varelas 2.6e5 (1e5)5.0e5 (2e5)7.6e5 (4e5)9.8e5 (9e5)2.9e6 (3e6)1e60/15
V2D-CMA largescale Varelas 2.6e6 (2e6)1e60/15
VD-CMA largescale Varelas 1e60/15
VkD-CMA largescale Varelas 3.0e4 (7868)4.1e4 (6417)4.7e4 (7893)5.2e4 (6878)5.5e4 (7662)5.9e4 (4873)6.0e4 (3822)15/15
m2DLBFGS largescale Varelas 687 (242)1025 (388)1321 (651)1643 (530)2322 (1276)9910 (1e4)7.0e6 (1e7)0/15
sepCMA largescale Varelas 1e60/15

Δ fopt
f12, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3113 (2564)7223 (5045)1.1e4 (3740)1.3e4 (5100)1.5e4 (4095)1.9e4 (5518)2.1e4 (5733)15/15
LBFGS largescale Varelas 590 (399)1423 (1202)2183 (1381)2578 (1538)2943 (1360)5829 (6580)1.6e4 (2e4)15/15
LMCMA14 largescale Varelas 2130 (1359)7999 (8281)1.4e4 (1e4)1.8e4 (1e4)2.2e4 (1e4)3.0e4 (1e4)3.5e4 (1e4)15/15
LMCMA17 largescale Varelas 2759 (1542)6039 (4036)9255 (7588)1.1e4 (7351)1.3e4 (5611)1.8e4 (7490)2.1e4 (8474)15/15
R10ES largescale Varelas 3878 (1616)9992 (1e4)1.5e4 (9222)1.8e4 (2e4)2.1e4 (1e4)2.8e4 (1e4)3.2e4 (1e4)15/15
R2ES largescale Varelas 2807 (2840)6037 (3664)8910 (5264)1.1e4 (4481)1.2e4 (3750)1.6e4 (4964)1.8e4 (4800)15/15
V2D-CMA largescale Varelas 2886 (2972)6284 (5864)9455 (4674)1.1e4 (6717)1.3e4 (7892)1.6e4 (5679)1.8e4 (6876)15/15
VD-CMA largescale Varelas 2871 (2546)7247 (6380)1.4e4 (1e4)2.0e4 (1e4)2.6e4 (1e4)3.8e4 (1e4)4.7e4 (3e4)15/15
VkD-CMA largescale Varelas 4204 (4817)9369 (7187)1.4e4 (5109)1.6e4 (6450)1.8e4 (6290)2.2e4 (4574)2.5e4 (8352)15/15
m2DLBFGS largescale Varelas 418 (346)1053 (956)1744 (1323)2133 (1460)2536 (1239)6119 (1e4)3.0e4 (3e4)15/15
sepCMA largescale Varelas 1777 (154)1.3e5 (2e5)7.7e5 (6e5)3.1e6 (6e6)4.5e6 (6e6)1.4e7 (9e6)1e60/15

Δ fopt
f13, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2199 (1904)6872 (5355)1.3e4 (9906)2.0e4 (1e4)2.7e4 (2e4)5.0e4 (4e4)1.7e5 (7e4)★215/15
LBFGS largescale Varelas 1290 (1029)4458 (5220)1.9e4 (4e4)5.7e4 (3e4)8.0e4 (4e4)8.9e5 (8e5)1e60/15
LMCMA14 largescale Varelas 6.1e4 (2e5)3.0e5 (7e5)8.3e5 (9e5)1.8e6 (2e6)4.2e6 (8e6)1e60/15
LMCMA17 largescale Varelas 2986 (4226)1.5e4 (2e4)8.9e4 (1e5)1.9e5 (2e5)7.0e5 (9e5)1.4e7 (7e6)1e60/15
R10ES largescale Varelas 3.7e5 (8e5)2.8e6 (2e6)4.0e6 (5e6)6.5e6 (1e7)1.4e7 (9e6)1e60/15
R2ES largescale Varelas 2.5e5 (3e5)2.8e6 (2e6)1.4e7 (1e7)1e60/15
V2D-CMA largescale Varelas 3198 (3307)9504 (2e4)2.8e4 (6e4)1.0e5 (2e5)1.7e5 (2e5)4.4e5 (7e5)1.2e6 (1e6)5/15
VD-CMA largescale Varelas 1803 (882)2.1e4 (2e4)3.8e4 (4e4)7.6e4 (6e4)1.8e5 (2e5)3.1e6 (4e6)1e60/15
VkD-CMA largescale Varelas 6850 (6795)2.6e4 (3e4)8.7e4 (1e5)2.8e5 (2e5)9.7e5 (9e5)1.4e7 (1e7)1e60/15
m2DLBFGS largescale Varelas 1404 (3198)1.1e4 (1e4)2.5e4 (2e4)3.2e4 (4e4)3.4e4 (4e4)9.2e5 (9e5)1e60/15
sepCMA largescale Varelas 2845 (3462)1.5e4 (2e4)8.6e4 (9e4)2.8e5 (3e5)8.7e5 (8e5)4.5e6 (3e6)1e60/15

Δ fopt
f14, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 299 (88)686 (114)1088 (92)1798 (214)3014 (334)6432 (350)1.1e4 (912)★415/15
LBFGS largescale Varelas 103 (16)184 (26)276 (21)477 (68)799 (84)4973 (1102)1e60/15
LMCMA14 largescale Varelas 210 (63)510 (84)793 (100)1338 (149)2994 (512)3.7e4 (1e4)5.6e5 (2e5)0/15
LMCMA17 largescale Varelas 234 (35)520 (52)829 (88)1183 (88)2475 (440)2.5e4 (6719)3.6e5 (9e4)2/15
R10ES largescale Varelas 275 (133)607 (126)915 (122)1500 (189)2996 (270)2.6e4 (4012)4.7e5 (3e5)0/15
R2ES largescale Varelas 279 (92)574 (118)887 (139)1394 (180)3058 (317)4.4e4 (1e4)1.1e6 (2e6)0/15
V2D-CMA largescale Varelas 272 (92)636 (150)928 (154)1453 (370)3463 (876)1.2e5 (4e4)1e60/15
VD-CMA largescale Varelas 287 (97)720 (124)1089 (207)1901 (186)4884 (1022)4.3e5 (4e5)1e60/15
VkD-CMA largescale Varelas 299 (93)693 (137)1030 (146)1611 (172)3666 (746)2.6e4 (4606)4.4e4 (1e4)15/15
m2DLBFGS largescale Varelas 108 (26)195 (42)295 (74)468 (89)766 (89)2150 (866)★31e60/15
sepCMA largescale Varelas 266 (98)654 (148)1002 (163)1752 (239)6175 (1204)1e60/15

Δ fopt
f15, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.4e6 (7e6)1e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 1e60/15
LMCMA17 largescale Varelas 1.5e7 (2e7)1e60/15
R10ES largescale Varelas 1e60/15
R2ES largescale Varelas 1e60/15
V2D-CMA largescale Varelas 4.5e6 (7e6)1e60/15
VD-CMA largescale Varelas 4.3e6 (8e6)1e60/15
VkD-CMA largescale Varelas 3.3e6 (6e6)1e60/15
m2DLBFGS largescale Varelas 1e60/15
sepCMA largescale Varelas 2.5e6 (1e6)1e60/15

Δ fopt
f16, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2220 (1110)7.0e4 (8e4)4.3e6 (7e6)★21e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 1.5e5 (3e5)1e60/15
LMCMA17 largescale Varelas 390 (92)8.1e5 (1e6)1e60/15
R10ES largescale Varelas 3.6e5 (5e5)1e60/15
R2ES largescale Varelas 2.5e5 (3e5)1e60/15
V2D-CMA largescale Varelas 2616 (481)7.2e5 (6e5)1e60/15
VD-CMA largescale Varelas 2346 (940)2.7e5 (5e5)1e60/15
VkD-CMA largescale Varelas 3618 (7204)1.4e6 (2e6)1e60/15
m2DLBFGS largescale Varelas 1e60/15
sepCMA largescale Varelas 9821 (3e4)1.1e6 (1e6)1e60/15

Δ fopt
f17, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 161 (119)1043 (428)4097 (4083)5.3e4 (7e4)1.1e6 (1e6)1e60/15
LBFGS largescale Varelas 1.4e5 (3e5)1e60/15
LMCMA14 largescale Varelas 167 (126)1.5e7 (1e7)1e60/15
LMCMA17 largescale Varelas 110 (53)3.7e5 (5e5)1.5e6 (3e6)1.4e7 (2e7)1e60/15
R10ES largescale Varelas 179 (50)1e60/15
R2ES largescale Varelas 131 (72)6.5e6 (7e6)1e60/15
V2D-CMA largescale Varelas 178 (104)2436 (3649)4.2e4 (1e5)6.9e5 (5e5)1e60/15
VD-CMA largescale Varelas 165 (115)1941 (329)1.2e4 (2e4)4.3e4 (8e4)1.8e6 (4e6)1e60/15
VkD-CMA largescale Varelas 190 (86)7983 (4514)4.8e4 (9e4)1.6e6 (3e6)1e60/15
m2DLBFGS largescale Varelas 2.0e4 (1e4)1e60/15
sepCMA largescale Varelas 120 (67)1976 (261)2.3e4 (6e4)9.2e4 (2e5)4.5e6 (9e6)1e60/15

Δ fopt
f18, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 779 (130)7747 (1e4)1.3e5 (9e4)4.5e6 (6e6)1e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 2.5e5 (8e5)1.4e7 (3e7)1e60/15
LMCMA17 largescale Varelas 1800 (168)2.8e5 (6e4)7.0e6 (1e7)1e60/15
R10ES largescale Varelas 1.5e6 (3e6)1e60/15
R2ES largescale Varelas 5.0e5 (5e5)1e60/15
V2D-CMA largescale Varelas 1086 (373)2.0e4 (4e4)1.1e6 (2e6)1e60/15
VD-CMA largescale Varelas 585 (232)8337 (4690)8.4e4 (8e4)1e60/15
VkD-CMA largescale Varelas 614 (194)5.4e4 (6e4)2.5e6 (4e6)1e60/15
m2DLBFGS largescale Varelas 1.4e7 (2e7)1e60/15
sepCMA largescale Varelas 695 (212)9080 (8674)2.2e5 (2e5)1e60/15

Δ fopt
f19, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 146 (41)6.0e4 (1e4)1e60/15
LBFGS largescale Varelas 1.7e5 (2e5)1e60/15
LMCMA14 largescale Varelas 145 (62)5.1e5 (1e6)1e60/15
LMCMA17 largescale Varelas 158 (43)5.0e5 (5e5)1e60/15
R10ES largescale Varelas 129 (28)2.8e6 (4e6)1e60/15
R2ES largescale Varelas 120 (60)8.9e5 (5e5)1e60/15
V2D-CMA largescale Varelas 185 (70)1.4e5 (2e5)1e60/15
VD-CMA largescale Varelas 160 (78)1.4e5 (2e5)1e60/15
VkD-CMA largescale Varelas 181 (94)4.6e4 (9e4)1e60/15
m2DLBFGS largescale Varelas 6.1e4 (6e4)1e60/15
sepCMA largescale Varelas 140 (51)2.9e5 (4e5)1e60/15

Δ fopt
f20, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 380 (71)1.4e7 (1e7)1e60/15
LBFGS largescale Varelas 117 (10)6.6e5 (7e5)1e60/15
LMCMA14 largescale Varelas 314 (38)1e60/15
LMCMA17 largescale Varelas 350 (84)1e60/15
R10ES largescale Varelas 296 (61)1e60/15
R2ES largescale Varelas 311 (70)1e60/15
V2D-CMA largescale Varelas 324 (61)7.0e6 (6e6)1e60/15
VD-CMA largescale Varelas 391 (70)1.5e7 (3e7)1e60/15
VkD-CMA largescale Varelas 342 (55)3.4e6 (3e6)1e60/15
m2DLBFGS largescale Varelas 117 (16)4.5e5 (6e5)1e60/15
sepCMA largescale Varelas 345 (96)1.4e6 (6e5)1e60/15

Δ fopt
f21, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1680 (3525)3.5e4 (4e4)9.5e4 (9e4)9.5e4 (8e4)9.6e4 (2e5)9.6e4 (8e4)9.6e4 (9e4)15/15
LBFGS largescale Varelas 906 (2122)5265 (5009)1.8e4 (2e4)1.8e4 (2e4)1.8e4 (3e4)1.8e4 (2e4)5.8e4 (1e5)4/15
LMCMA14 largescale Varelas 2.5e5 (3e5)4.0e6 (5e6)6.5e6 (1e7)6.5e6 (7e6)6.5e6 (8e6)6.5e6 (2e7)6.5e6 (7e6)2/15
LMCMA17 largescale Varelas 2.5e5 (5e5)6.5e6 (7e6)1e60/15
R10ES largescale Varelas 1.5e5 (99)2.8e6 (3e6)2.8e6 (4e6)2.8e6 (4e6)2.8e6 (3e6)2.8e6 (5e6)2.8e6 (2e6)4/15
R2ES largescale Varelas 1.5e5 (3e5)6.5e6 (7e6)6.5e6 (3e6)6.5e6 (6e6)6.5e6 (7e6)6.5e6 (6e6)6.5e6 (4e6)2/15
V2D-CMA largescale Varelas 1288 (2074)2.9e4 (3e4)4.4e4 (6e4)4.4e4 (4e4)4.5e4 (6e4)4.5e4 (4e4)4.6e4 (5e4)15/15
VD-CMA largescale Varelas 4312 (7978)3.8e4 (7e4)5.5e4 (5e4)5.5e4 (6e4)5.5e4 (8e4)5.6e4 (3e4)5.6e4 (5e4)15/15
VkD-CMA largescale Varelas 1843 (3697)2.1e4 (4e4)7.9e4 (1e5)8.0e4 (9e4)8.0e4 (2e5)8.0e4 (1e5)8.1e4 (1e5)15/15
m2DLBFGS largescale Varelas 836 (962)7038 (4948)1.4e4 (1e4)1.4e4 (1e4)1.4e4 (1e4)1.4e4 (1e4)3.5e4 (3e4)2/15
sepCMA largescale Varelas 2713 (6414)3.9e4 (1e5)5.5e4 (3e4)5.5e4 (1e5)5.5e4 (1e5)5.6e4 (3e4)5.6e4 (1e5)15/15

Δ fopt
f22, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4818 (2e4)2.1e5 (3e5)1.9e6 (3e6)1.9e6 (2e6)1.9e6 (2e6)1.9e6 (2e6)1.9e6 (1e6)6/15
LBFGS largescale Varelas 2228 (2253)2.0e4 (3e4)1.4e5 (2e5)1.5e5 (2e5)1.5e5 (2e5)1.5e5 (2e5)4.4e6 (5e6)0/15
LMCMA14 largescale Varelas 8.8e5 (5e5)6.5e6 (9e6)1e60/15
LMCMA17 largescale Varelas 3.6e5 (5e5)1.4e7 (2e7)1e60/15
R10ES largescale Varelas 1.5e6 (2e6)1.4e7 (3e7)1e60/15
R2ES largescale Varelas 8.8e5 (2e6)4.0e6 (6e6)1e60/15
V2D-CMA largescale Varelas 4530 (1e4)1.9e5 (5e5)1.4e6 (2e6)1.4e6 (1e6)1.4e6 (1e6)1.4e6 (2e6)1.4e6 (2e6)7/15
VD-CMA largescale Varelas 6627 (7532)2.3e5 (4e5)3.2e6 (3e6)3.2e6 (3e6)3.2e6 (6e6)3.2e6 (8e6)3.2e6 (3e6)4/15
VkD-CMA largescale Varelas 8844 (2e4)2.2e5 (3e5)2.4e6 (3e6)2.4e6 (6e6)2.4e6 (3e6)2.4e6 (4e6)2.4e6 (3e6)5/15
m2DLBFGS largescale Varelas 1122 (1983)1.8e4 (3e4)1.4e5 (2e5)1.4e5 (2e5)1.4e5 (1e5)1.4e5 (2e5)1.0e6 (2e6)0/15
sepCMA largescale Varelas 6595 (9928)1.4e5 (3e5)2.4e6 (2e6)2.4e6 (4e6)2.4e6 (3e6)2.4e6 (3e6)2.4e6 (2e6)5/15

Δ fopt
f23, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 11 (11)4.4e4 (2e4)3.5e5 (4e5)1.5e7 (2e7)1e60/15
LBFGS largescale Varelas 162 (147)9.0e5 (1e6)1e60/15
LMCMA14 largescale Varelas 7.5 (13)2.5e5 (5e5)1e60/15
LMCMA17 largescale Varelas 13 (7)1135 (1140)2.3e5 (2e5)1e60/15
R10ES largescale Varelas 6.7 (13)6.7e5 (8e5)1e60/15
R2ES largescale Varelas 3.5 (3)5.0e5 (8e5)1e60/15
V2D-CMA largescale Varelas 14 (20)1.5e4 (3e4)2.0e6 (3e6)1e60/15
VD-CMA largescale Varelas 16 (20)5.6e4 (2e4)7.6e5 (8e5)1e60/15
VkD-CMA largescale Varelas 16 (21)1.6e4 (1e4)1.9e6 (3e6)1e60/15
m2DLBFGS largescale Varelas 89 (106)2.3e5 (2e5)1e60/15
sepCMA largescale Varelas 14 (14)4.4e4 (5e4)1.4e6 (1e6)1e60/15

Δ fopt
f24, 20-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.4e7 (3e7)1e60/15
LBFGS largescale Varelas 1e60/15
LMCMA14 largescale Varelas 1e60/15
LMCMA17 largescale Varelas 1e60/15
R10ES largescale Varelas 1e60/15
R2ES largescale Varelas 1e60/15
V2D-CMA largescale Varelas 1.5e7 (1e7)1e60/15
VD-CMA largescale Varelas 1e60/15
VkD-CMA largescale Varelas 1.4e7 (2e7)1e60/15
m2DLBFGS largescale Varelas 1e60/15
sepCMA largescale Varelas 1e60/15

Previous dimension | Dimension = 40 | Next dimension

Δ fopt
f1, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 810 (100)1301 (92)1827 (112)2317 (130)2790 (183)3806 (200)4806 (174)15/15
LBFGS largescale Varelas 125 (0)125 (0)125 (0)125 (0)125 (0)125 (0)125 (0)15/15
LMCMA14 largescale Varelas 667 (67)1088 (68)1507 (96)1923 (73)2354 (82)3194 (43)4030 (65)15/15
LMCMA17 largescale Varelas 751 (84)1219 (60)1677 (49)2159 (82)2607 (76)3561 (77)4491 (72)15/15
R10ES largescale Varelas 658 (79)1109 (98)1539 (58)1962 (81)2372 (98)3217 (90)4051 (98)15/15
R2ES largescale Varelas 634 (69)1086 (70)1554 (115)1984 (100)2448 (111)3286 (138)4124 (111)15/15
V2D-CMA largescale Varelas 622 (178)971 (121)1311 (136)1649 (148)1980 (143)2691 (195)3402 (248)15/15
VD-CMA largescale Varelas 775 (62)1256 (102)1737 (111)2208 (64)2664 (72)3599 (120)4561 (160)15/15
VkD-CMA largescale Varelas 606 (72)945 (94)1349 (130)1686 (144)2064 (139)2800 (156)3529 (222)15/15
m2DLBFGS largescale Varelas 125 (0)125 (0)125 (0)125 (0)125 (0)125 (0)125 (0)15/15
sepCMA largescale Varelas 720 (70)1156 (89)1591 (84)2036 (122)2473 (164)3336 (225)4228 (201)15/15

Δ fopt
f2, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.2e4 (2145)3.7e4 (2888)4.2e4 (2324)4.4e4 (2444)4.7e4 (1087)5.0e4 (1184)5.1e4 (1348)15/15
LBFGS largescale Varelas 5.1e4 (1e4)8.3e4 (2e4)1.2e5 (2e4)1.5e5 (3e4)1.9e5 (4e4)2.6e5 (6e4)3.2e5 (5e4)8/15
LMCMA14 largescale Varelas 1.7e5 (4e4)2.8e5 (6e4)4.0e5 (8e4)5.0e5 (8e4)6.1e5 (1e5)8.2e5 (2e5)1.0e6 (1e5)15/15
LMCMA17 largescale Varelas 1.0e5 (2e4)1.6e5 (4e4)2.2e5 (5e4)2.6e5 (6e4)3.3e5 (8e4)4.5e5 (7e4)5.8e5 (8e4)15/15
R10ES largescale Varelas 1.4e5 (3e4)2.0e5 (5e4)2.7e5 (5e4)3.4e5 (5e4)4.2e5 (6e4)5.8e5 (1e5)7.3e5 (1e5)15/15
R2ES largescale Varelas 1.6e5 (3e4)2.4e5 (4e4)3.1e5 (4e4)3.9e5 (1e5)4.8e5 (1e5)6.7e5 (1e5)8.4e5 (1e5)15/15
V2D-CMA largescale Varelas 1.3e4 (1472)1.4e4 (1260)1.6e4 (1489)1.7e4 (1284)1.8e4 (906)1.9e4 (1400)1.9e4 (1424)15/15
VD-CMA largescale Varelas 1.2e4 (820)1.4e4 (882)1.5e4 (1208)1.6e4 (996)1.6e4 (1217)1.7e4 (1084)1.8e4 (1022)15/15
VkD-CMA largescale Varelas 1.1e4 (3112)1.3e4 (3748)1.5e4 (4416)1.6e4 (4858)1.7e4 (4100)1.9e4 (4227)2.0e4 (4154)15/15
m2DLBFGS largescale Varelas 1.7e4 (2593)2.2e4 (1650)2.5e4 (2860)2.8e4 (3710)3.0e4 (2747)3.2e4 (2819)3.4e4 (2686)15/15
sepCMA largescale Varelas 5862 (553)★46496 (587)★47056 (518)★47523 (560)★47977 (402)★48898 (527)★49781 (518)★415/15

Δ fopt
f3, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 2e60/15
LMCMA17 largescale Varelas 2e60/15
R10ES largescale Varelas 2e60/15
R2ES largescale Varelas 2e60/15
V2D-CMA largescale Varelas 2e60/15
VD-CMA largescale Varelas 2e60/15
VkD-CMA largescale Varelas 2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 2e60/15

Δ fopt
f4, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 2e60/15
LMCMA17 largescale Varelas 2e60/15
R10ES largescale Varelas 2e60/15
R2ES largescale Varelas 2e60/15
V2D-CMA largescale Varelas 2e60/15
VD-CMA largescale Varelas 2e60/15
VkD-CMA largescale Varelas 2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 2e60/15

Δ fopt
f5, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 494 (74)541 (84)557 (78)558 (84)558 (80)558 (53)558 (80)15/15
LBFGS largescale Varelas 199 (20)226 (31)240 (62)240 (51)240 (62)243 (62)243 (51)15/15
LMCMA14 largescale Varelas 343 (124)374 (117)377 (111)377 (97)377 (98)377 (111)377 (58)15/15
LMCMA17 largescale Varelas 316 (50)346 (66)352 (69)356 (49)356 (56)356 (56)356 (56)15/15
R10ES largescale Varelas 349 (39)368 (58)370 (54)370 (60)370 (58)370 (50)370 (58)15/15
R2ES largescale Varelas 347 (78)375 (70)380 (86)380 (92)380 (88)380 (74)380 (92)15/15
V2D-CMA largescale Varelas 366 (155)403 (188)408 (174)408 (166)408 (178)408 (196)408 (174)15/15
VD-CMA largescale Varelas 388 (44)430 (71)441 (42)443 (48)443 (33)443 (36)443 (48)15/15
VkD-CMA largescale Varelas 407 (102)441 (93)445 (94)445 (95)445 (93)445 (69)445 (104)15/15
m2DLBFGS largescale Varelas 212 (20)243 (31)248 (20)248 (41)248 (41)248 (31)248 (20)15/15
sepCMA largescale Varelas 526 (69)602 (86)624 (77)627 (104)627 (82)627 (100)627 (93)15/15

Δ fopt
f6, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 5869 (1156)8289 (1296)1.1e4 (1205)1.3e4 (1120)1.6e4 (1102)2.1e4 (1520)2.5e4 (1922)★215/15
LBFGS largescale Varelas 1.0e4 (2173)1.7e4 (4264)2.6e4 (3085)3.3e4 (4069)4.1e4 (4551)5.4e4 (3967)7.0e4 (6365)15/15
LMCMA14 largescale Varelas 8.5e5 (3e5)1.9e6 (1e6)5.8e6 (7e6)3.0e7 (4e7)2e60/15
LMCMA17 largescale Varelas 5.3e4 (3e4)1.1e5 (4e4)1.8e5 (5e4)2.4e5 (5e4)3.1e5 (7e4)4.5e5 (6e4)5.9e5 (5e4)15/15
R10ES largescale Varelas 6.0e6 (5e6)2e60/15
R2ES largescale Varelas 1.4e4 (4538)2.6e4 (3894)3.7e4 (3514)4.7e4 (3915)6.0e4 (5986)8.3e4 (8710)1.0e5 (7643)15/15
V2D-CMA largescale Varelas 9638 (3298)1.6e4 (5764)2.3e4 (8084)3.0e4 (7574)3.7e4 (1e4)5.1e4 (2e4)6.8e4 (1e4)15/15
VD-CMA largescale Varelas 6806 (1338)9775 (1287)1.3e4 (2484)1.6e4 (2962)2.0e4 (2843)2.6e4 (3307)3.3e4 (4489)15/15
VkD-CMA largescale Varelas 1.1e4 (5469)2.3e4 (2e4)3.9e4 (5e4)7.0e4 (2e4)9.3e4 (2e4)1.2e5 (1e5)1.5e5 (1e5)15/15
m2DLBFGS largescale Varelas 1.1e4 (3895)1.9e4 (3546)2.7e4 (2819)3.5e4 (4172)4.4e4 (5135)6.0e4 (8846)7.6e4 (9635)15/15
sepCMA largescale Varelas 5882 (1364)8542 (1404)1.1e4 (1135)1.4e4 (1782)1.7e4 (1730)2.3e4 (2119)2.8e4 (2338)15/15

Δ fopt
f7, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 7.5e4 (1e5)2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 3.0e7 (3e7)2e60/15
LMCMA17 largescale Varelas 2e60/15
R10ES largescale Varelas 2e60/15
R2ES largescale Varelas 2e60/15
V2D-CMA largescale Varelas 2e60/15
VD-CMA largescale Varelas 1.3e5 (9e4)2e60/15
VkD-CMA largescale Varelas 2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 5.1e5 (6e5)2e60/15

Δ fopt
f8, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4.2e4 (3696)7.5e4 (3e4)7.9e4 (5e4)8.0e4 (4e4)8.1e4 (3e4)8.3e4 (3e4)8.4e4 (5e4)15/15
LBFGS largescale Varelas 6529 (1896)1.0e4 (8539)1.1e4 (5648)1.1e4 (6848)1.1e4 (8662)1.1e4 (6827)1.2e4 (3926)15/15
LMCMA14 largescale Varelas 4.6e4 (4886)5.6e5 (1e6)5.7e5 (2e6)5.7e5 (1e6)5.7e5 (1e6)5.7e5 (1e6)5.7e5 (1e6)12/15
LMCMA17 largescale Varelas 2.9e4 (3584)1.8e6 (4e6)1.8e6 (3e6)1.8e6 (2e6)1.8e6 (4e6)1.8e6 (2e6)1.8e6 (3e6)8/15
R10ES largescale Varelas 5.1e4 (3128)3.8e5 (1e6)3.8e5 (5e5)3.8e5 (5e5)3.8e5 (1e6)3.9e5 (4576)3.9e5 (5e5)13/15
R2ES largescale Varelas 2.9e4 (1514)3.9e4 (1160)4.2e4 (1475)4.4e4 (1246)4.4e4 (1446)4.6e4 (1342)4.8e4 (1371)15/15
V2D-CMA largescale Varelas 2.7e4 (3239)5.1e4 (4e4)5.3e4 (3e4)5.5e4 (4e4)5.6e4 (4e4)5.8e4 (4e4)5.9e4 (4e4)15/15
VD-CMA largescale Varelas 3.8e4 (2859)5.7e4 (2e4)6.0e4 (3e4)6.1e4 (3e4)6.2e4 (2e4)6.4e4 (3e4)6.6e4 (1828)15/15
VkD-CMA largescale Varelas 2.5e4 (8586)4.1e4 (2e4)4.3e4 (3e4)4.5e4 (3e4)4.6e4 (3e4)4.7e4 (3e4)4.9e4 (3e4)15/15
m2DLBFGS largescale Varelas 6628 (1168)9689 (5330)1.0e4 (5904)1.0e4 (5833)1.0e4 (3608)1.1e4 (5946)1.1e4 (5966)15/15
sepCMA largescale Varelas 5.4e4 (1292)8.5e4 (5e4)9.5e4 (5e4)1.1e5 (1610)1.2e5 (5e4)1.5e5 (5e4)1.8e5 (5e4)15/15

Δ fopt
f9, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4.1e4 (2612)6.6e4 (3e4)7.0e4 (3e4)7.1e4 (3e4)7.2e4 (3e4)7.4e4 (3e4)7.5e4 (2e4)15/15
LBFGS largescale Varelas 6532 (2040)8295 (2245)8738 (2398)8992 (2419)9118 (2398)9284 (2337)9437 (2306)15/15
LMCMA14 largescale Varelas 4.8e4 (5300)5.6e5 (1e6)5.7e5 (3e6)5.7e5 (1e6)5.7e5 (1e6)5.7e5 (1e6)5.7e5 (1e6)12/15
LMCMA17 largescale Varelas 2.8e4 (2344)3.7e4 (6956)4.0e4 (4201)4.1e4 (4546)4.2e4 (4234)4.4e4 (7018)4.5e4 (7583)15/15
R10ES largescale Varelas 4.7e4 (2e4)3.7e5 (5e5)3.7e5 (2e6)3.7e5 (1e6)3.8e5 (1e6)3.8e5 (1e6)3.8e5 (1e6)13/15
R2ES largescale Varelas 3.0e4 (3433)3.5e5 (5e5)3.5e5 (1e6)3.5e5 (5e5)3.5e5 (5e5)3.5e5 (2e6)3.6e5 (5e5)13/15
V2D-CMA largescale Varelas 3.2e4 (3307)5.0e4 (1759)5.3e4 (2e4)5.4e4 (3e4)5.5e4 (3e4)5.6e4 (3e4)5.7e4 (2e4)15/15
VD-CMA largescale Varelas 4.7e4 (2671)7.1e4 (2e4)7.6e4 (1964)7.7e4 (2e4)7.8e4 (3005)8.0e4 (2e4)8.1e4 (2777)15/15
VkD-CMA largescale Varelas 3.2e4 (5266)7.2e4 (7e4)7.5e4 (4e4)7.6e4 (7e4)7.7e4 (6e4)7.9e4 (7e4)8.0e4 (4e4)15/15
m2DLBFGS largescale Varelas 6311 (1004)8292 (1599)8669 (3403)8918 (3229)9022 (3260)9186 (3332)9301 (994)15/15
sepCMA largescale Varelas 1.8e5 (6793)2.8e5 (9149)2.5e6 (4e6)2.9e7 (1e7)2e60/15

Δ fopt
f10, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.2e4 (2467)3.7e4 (2980)4.1e4 (3322)4.4e4 (2238)4.7e4 (2750)4.9e4 (1528)5.1e4 (1086)★415/15
LBFGS largescale Varelas 5.3e4 (1e4)8.9e4 (2e4)1.2e5 (2e4)1.5e5 (2e4)1.9e5 (3e4)5.0e5 (4e5)2e60/15
LMCMA14 largescale Varelas 1.8e5 (4e4)2.8e5 (8e4)3.9e5 (1e5)4.9e5 (1e5)6.0e5 (1e5)8.0e5 (2e5)1.0e6 (2e5)15/15
LMCMA17 largescale Varelas 1.1e5 (2e4)1.7e5 (1e4)2.4e5 (6e4)2.9e5 (6e4)3.5e5 (7e4)4.6e5 (7e4)5.6e5 (9e4)15/15
R10ES largescale Varelas 1.3e5 (2e4)2.1e5 (4e4)2.9e5 (7e4)3.7e5 (7e4)4.4e5 (8e4)5.9e5 (9e4)7.3e5 (1e5)15/15
R2ES largescale Varelas 1.4e5 (3e4)2.3e5 (6e4)3.1e5 (8e4)4.0e5 (1e5)4.7e5 (1e5)6.3e5 (1e5)7.6e5 (1e5)15/15
V2D-CMA largescale Varelas 9.7e5 (6e5)7.0e6 (7e6)2.9e7 (3e7)2e60/15
VD-CMA largescale Varelas 4.8e6 (3e6)2e60/15
VkD-CMA largescale Varelas 1.5e5 (2e4)1.7e5 (2e4)1.9e5 (2e4)2.0e5 (1e4)2.1e5 (2e4)2.2e5 (1e4)2.2e5 (9905)15/15
m2DLBFGS largescale Varelas 1.7e4 (1876)★42.1e4 (1906)★42.4e4 (2532)★42.7e4 (3823)★42.9e4 (3905)★49.0e4 (6e4)2e60/15
sepCMA largescale Varelas 2e60/15

Δ fopt
f11, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.4e4 (590)1.5e4 (470)1.6e4 (504)1.7e4 (469)1.8e4 (464)1.9e4 (529)2.0e4 (466)★415/15
LBFGS largescale Varelas 1686 (400)2241 (666)3252 (1374)4681 (1281)8456 (4080)5.9e4 (3e4)2e60/15
LMCMA14 largescale Varelas 4.6e4 (2e4)1.0e5 (2e4)1.5e5 (2e4)2.0e5 (3e4)2.6e5 (3e4)3.6e5 (5e4)4.7e5 (3e4)15/15
LMCMA17 largescale Varelas 1.8e4 (3700)4.4e4 (1e4)7.3e4 (1e4)1.0e5 (2e4)1.4e5 (2e4)2.0e5 (2e4)2.6e5 (2e4)15/15
R10ES largescale Varelas 2.7e4 (1e4)7.0e4 (2e4)1.1e5 (3e4)1.5e5 (3e4)1.9e5 (3e4)2.7e5 (4e4)3.6e5 (5e4)14/15
R2ES largescale Varelas 5.9e5 (2e5)9.2e5 (2e5)1.2e6 (2e5)1.6e6 (3e5)2.3e6 (2e6)2e60/15
V2D-CMA largescale Varelas 2.1e6 (2e6)2e60/15
VD-CMA largescale Varelas 3.0e7 (2e7)2e60/15
VkD-CMA largescale Varelas 7.7e4 (2e4)1.1e5 (2e4)1.3e5 (2e4)1.6e5 (2e4)1.8e5 (2e4)2.1e5 (2e4)1.0e6 (6e5)8/15
m2DLBFGS largescale Varelas 1743 (359)2325 (400)2918 (574)3864 (789)4881 (1978)★22.1e4 (2e4)1.5e7 (2e7)0/15
sepCMA largescale Varelas 2e60/15

Δ fopt
f12, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 7292 (7649)1.3e4 (1e4)1.9e4 (2e4)2.3e4 (1e4)2.8e4 (1e4)3.5e4 (1e4)3.9e4 (9905)15/15
LBFGS largescale Varelas 866 (1179)1872 (994)2954 (2234)3629 (1927)4408 (2911)7519 (6674)3.1e4 (3e4)15/15
LMCMA14 largescale Varelas 5727 (5320)1.4e4 (1e4)2.4e4 (2e4)3.1e4 (2e4)3.9e4 (2e4)5.4e4 (2e4)6.4e4 (2e4)15/15
LMCMA17 largescale Varelas 6045 (6360)1.2e4 (1e4)1.8e4 (9448)2.2e4 (1e4)2.6e4 (1e4)3.7e4 (1e4)4.4e4 (2e4)15/15
R10ES largescale Varelas 5244 (4330)1.4e4 (1e4)2.4e4 (1e4)3.0e4 (1e4)3.7e4 (2e4)5.2e4 (2e4)6.2e4 (2e4)15/15
R2ES largescale Varelas 3844 (1902)1.0e4 (5667)1.5e4 (8692)1.9e4 (1e4)2.2e4 (9373)2.9e4 (9427)3.3e4 (8480)15/15
V2D-CMA largescale Varelas 6637 (6185)1.3e4 (7224)1.6e4 (1e4)1.9e4 (7662)2.2e4 (1e4)2.8e4 (1e4)3.1e4 (7444)15/15
VD-CMA largescale Varelas 7828 (8144)1.8e4 (1e4)2.7e4 (1e4)3.4e4 (2e4)4.1e4 (2e4)5.7e4 (2e4)6.6e4 (2e4)15/15
VkD-CMA largescale Varelas 5286 (4853)1.3e4 (8084)1.8e4 (8643)2.1e4 (7539)2.4e4 (7154)3.0e4 (9191)3.4e4 (9028)15/15
m2DLBFGS largescale Varelas 811 (666)1675 (1671)2689 (2562)3386 (2091)4209 (1466)1.1e4 (2e4)3.8e4 (1e4)15/15
sepCMA largescale Varelas 1.8e5 (3e5)5.0e5 (9e5)1.3e6 (2e6)4.5e6 (6e6)1.3e7 (2e7)2e60/15

Δ fopt
f13, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4204 (3670)2.1e4 (2e4)5.5e4 (6e4)1.1e5 (2e5)2.2e5 (2e5)1.9e6 (2e6)9.3e6 (2e7)1/15
LBFGS largescale Varelas 2853 (3465)8214 (1e4)4.9e4 (4e4)9.0e4 (2e5)2.3e5 (4e5)2.2e6 (6e6)2e60/15
LMCMA14 largescale Varelas 5397 (3708)3.0e4 (4e4)1.4e5 (2e5)3.3e5 (4e5)2.0e6 (4e6)1.4e7 (8e6)2e60/15
LMCMA17 largescale Varelas 5219 (3662)2.5e4 (3e4)9.6e4 (1e5)3.4e5 (7e5)9.5e5 (7e5)9.7e6 (9e6)2e60/15
R10ES largescale Varelas 5.0e5 (1e6)8.0e6 (1e7)2e60/15
R2ES largescale Varelas 1.5e5 (5e5)1.8e6 (4e6)5.5e6 (3e6)2.8e7 (2e7)2.8e7 (8e7)2e60/15
V2D-CMA largescale Varelas 3400 (3055)1.7e4 (2e4)9.4e4 (9e4)3.1e5 (4e5)9.4e5 (6e5)4.1e6 (4e6)2.9e7 (2e7)0/15
VD-CMA largescale Varelas 6040 (1e4)1.9e4 (2e4)6.8e4 (9e4)1.7e5 (1e5)3.6e5 (3e5)6.3e6 (1e7)2e60/15
VkD-CMA largescale Varelas 5734 (6843)4.2e4 (6e4)1.6e5 (1e5)3.7e5 (4e5)1.9e6 (3e6)2.9e7 (4e7)2.9e7 (3e7)0/15
m2DLBFGS largescale Varelas 2741 (3044)1.2e4 (2e4)3.2e4 (5e4)5.6e4 (3e4)9.3e4 (1e5)5.3e6 (8e6)2e60/15
sepCMA largescale Varelas 6027 (7092)2.1e4 (2e4)1.2e5 (1e5)3.2e5 (3e5)7.7e5 (8e5)9.0e6 (1e7)2e60/15

Δ fopt
f14, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 796 (121)1537 (153)2383 (298)4169 (460)8049 (394)2.0e4 (786)3.8e4 (1206)★415/15
LBFGS largescale Varelas 281 (62)469 (51)688 (72)1125 (72)2014 (174)1.8e4 (3208)2e60/15
LMCMA14 largescale Varelas 543 (102)1067 (143)1605 (152)2667 (219)5864 (686)7.0e4 (1e4)1.2e6 (2e5)0/15
LMCMA17 largescale Varelas 535 (144)1005 (84)1533 (111)2356 (172)5039 (482)4.8e4 (6126)7.2e5 (2e5)1/15
R10ES largescale Varelas 589 (92)1154 (244)1752 (184)2978 (212)6368 (854)6.1e4 (1e4)1.0e6 (6e5)0/15
R2ES largescale Varelas 636 (116)1205 (140)1754 (199)2864 (206)6167 (814)8.0e4 (2e4)1.8e6 (1e6)0/15
V2D-CMA largescale Varelas 603 (172)1209 (256)1771 (137)3226 (341)8633 (1343)5.0e5 (1e5)2e60/15
VD-CMA largescale Varelas 755 (142)1456 (270)2278 (344)4199 (372)1.2e4 (1406)5.7e5 (2e5)2e60/15
VkD-CMA largescale Varelas 662 (246)1302 (267)1866 (485)3282 (526)8139 (2130)7.7e4 (1e4)8.2e5 (8e5)1/15
m2DLBFGS largescale Varelas 275 (62)448 (72)661 (82)1104 (92)1904 (154)5832 (615)★42e60/15
sepCMA largescale Varelas 793 (176)1455 (191)2147 (186)3929 (484)1.6e4 (2674)2e60/15

Δ fopt
f15, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 2e60/15
LMCMA17 largescale Varelas 2e60/15
R10ES largescale Varelas 2e60/15
R2ES largescale Varelas 2e60/15
V2D-CMA largescale Varelas 2e60/15
VD-CMA largescale Varelas 2e60/15
VkD-CMA largescale Varelas 2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 2e60/15

Δ fopt
f16, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 5110 (1841)2.3e6 (5e6)2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 1.4e4 (3e4)2e60/15
LMCMA17 largescale Varelas 1976 (248)2e60/15
R10ES largescale Varelas 1.0e6 (3e6)2e60/15
R2ES largescale Varelas 7.3e5 (1e6)2e60/15
V2D-CMA largescale Varelas 2476 (908)2e60/15
VD-CMA largescale Varelas 9801 (2e4)1.3e7 (1e7)2e60/15
VkD-CMA largescale Varelas 1.2e4 (3e4)2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 1.1e4 (1738)2e60/15

Δ fopt
f17, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 450 (143)2238 (593)1.9e4 (3e4)4.7e5 (7e5)2e60/15
LBFGS largescale Varelas 1.3e6 (2e6)2e60/15
LMCMA14 largescale Varelas 342 (111)2e60/15
LMCMA17 largescale Varelas 299 (91)1.4e7 (2e7)2e60/15
R10ES largescale Varelas 269 (145)2e60/15
R2ES largescale Varelas 333 (182)2e60/15
V2D-CMA largescale Varelas 336 (132)1.3e5 (5e5)6.4e6 (4e6)2e60/15
VD-CMA largescale Varelas 435 (110)2602 (818)3.3e4 (4e4)4.7e5 (3e5)2.9e7 (4e7)2e60/15
VkD-CMA largescale Varelas 370 (170)1.4e5 (2e5)2.8e7 (4e7)2e60/15
m2DLBFGS largescale Varelas 1.6e5 (4e5)2e60/15
sepCMA largescale Varelas 362 (119)4174 (816)8.2e4 (4e4)3.1e6 (4e6)2e60/15

Δ fopt
f18, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1476 (522)1.4e4 (2e4)1.5e6 (3e6)2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 4.5e6 (7e6)2e60/15
LMCMA17 largescale Varelas 3.9e5 (6e5)2.8e7 (5e7)2e60/15
R10ES largescale Varelas 2.3e6 (4e6)2e60/15
R2ES largescale Varelas 2.8e7 (2e7)2e60/15
V2D-CMA largescale Varelas 3656 (6292)2.8e6 (2e6)2e60/15
VD-CMA largescale Varelas 1254 (319)3.6e4 (5e4)3.3e6 (4e6)2e60/15
VkD-CMA largescale Varelas 2006 (559)2.2e6 (3e6)2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 1392 (336)5.1e4 (9e4)1.4e7 (5e6)2e60/15

Δ fopt
f19, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 408 (117)2.2e5 (3e5)2e60/15
LBFGS largescale Varelas 3.7e6 (9e6)2e60/15
LMCMA14 largescale Varelas 331 (77)1.3e7 (2e7)2e60/15
LMCMA17 largescale Varelas 312 (54)1.8e6 (3e6)2e60/15
R10ES largescale Varelas 249 (46)2.4e6 (2e6)2e60/15
R2ES largescale Varelas 247 (42)1.3e7 (8e6)2e60/15
V2D-CMA largescale Varelas 349 (90)7.6e5 (1e6)2e60/15
VD-CMA largescale Varelas 432 (140)1.0e6 (1e6)2e60/15
VkD-CMA largescale Varelas 294 (50)2.8e5 (8e5)2e60/15
m2DLBFGS largescale Varelas 1.1e6 (2e6)2e60/15
sepCMA largescale Varelas 452 (91)1.3e6 (3e6)2e60/15

Δ fopt
f20, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 878 (130)2e60/15
LBFGS largescale Varelas 251 (0)2e60/15
LMCMA14 largescale Varelas 627 (73)2e60/15
LMCMA17 largescale Varelas 698 (46)2e60/15
R10ES largescale Varelas 519 (82)2e60/15
R2ES largescale Varelas 565 (89)2e60/15
V2D-CMA largescale Varelas 571 (85)2e60/15
VD-CMA largescale Varelas 833 (114)2e60/15
VkD-CMA largescale Varelas 633 (127)2e60/15
m2DLBFGS largescale Varelas 243 (31)2e60/15
sepCMA largescale Varelas 739 (111)2e60/15

Δ fopt
f21, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8299 (1e4)1.1e5 (2e5)2.6e5 (3e5)2.6e5 (3e5)2.6e5 (3e5)2.6e5 (3e5)2.6e5 (3e5)15/15
LBFGS largescale Varelas 806 (534)2.5e4 (6e4)3.4e4 (6e4)3.4e4 (4e4)3.5e4 (3e4)3.5e4 (3e4)1.4e6 (2e6)1/15
LMCMA14 largescale Varelas 5.0e5 (2e6)1.3e7 (1e7)2e60/15
LMCMA17 largescale Varelas 1.8e6 (3e6)1.3e7 (2e7)2.8e7 (3e7)2.8e7 (3e7)2.8e7 (6e7)2.8e7 (4e7)2.8e7 (6e7)1/15
R10ES largescale Varelas 1.0e6 (2e6)3.0e6 (4e6)1.3e7 (1e7)1.3e7 (1e7)1.3e7 (2e7)1.3e7 (1e7)1.3e7 (6e6)2/15
R2ES largescale Varelas 1.0e6 (1e6)3.0e6 (4e6)1.3e7 (1e7)1.3e7 (2e7)1.3e7 (2e7)1.3e7 (1e7)1.3e7 (1e7)2/15
V2D-CMA largescale Varelas 5706 (8790)8.5e4 (1e5)2.0e5 (2e5)2.0e5 (3e5)2.1e5 (3e5)2.1e5 (3e5)2.1e5 (3e5)15/15
VD-CMA largescale Varelas 2378 (2562)7.2e4 (9e4)2.1e5 (3e5)2.1e5 (3e5)2.1e5 (3e5)2.1e5 (2e5)2.1e5 (2e5)15/15
VkD-CMA largescale Varelas 2925 (2152)6.0e4 (6e4)1.9e5 (3e5)1.9e5 (3e5)1.9e5 (3e5)1.9e5 (3e5)1.9e5 (3e5)15/15
m2DLBFGS largescale Varelas 1115 (1815)2.4e4 (7e4)5.9e4 (6e4)5.9e4 (1e5)5.9e4 (9697)5.9e4 (1e5)1.9e6 (1e6)0/15
sepCMA largescale Varelas 4617 (8574)7.9e4 (2e5)4.1e5 (9e5)4.1e5 (7e5)4.1e5 (4e5)4.1e5 (4e5)4.1e5 (4e5)14/15

Δ fopt
f22, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.5e4 (2e4)7.7e5 (7e5)3.0e7 (4e7)3.0e7 (3e7)3.0e7 (3e7)3.0e7 (3e7)3.0e7 (2e7)1/15
LBFGS largescale Varelas 2114 (2525)4.3e5 (1e6)2.6e6 (3e6)2.6e6 (3e6)2.6e6 (2e6)2.6e6 (4e6)2e60/15
LMCMA14 largescale Varelas 2.3e6 (4e6)1.3e7 (3e7)2e60/15
LMCMA17 largescale Varelas 1.3e6 (2e6)5.5e6 (1e7)2e60/15
R10ES largescale Varelas 5.5e6 (5e6)1.3e7 (2e7)2e60/15
R2ES largescale Varelas 4.0e6 (7e6)8.0e6 (8e6)2e60/15
V2D-CMA largescale Varelas 3025 (7074)9.9e5 (2e6)2.9e7 (2e7)2.9e7 (2e7)3.0e7 (3e7)3.0e7 (5e7)3.0e7 (3e7)1/15
VD-CMA largescale Varelas 1.1e4 (2e4)5.6e5 (2e6)2.9e7 (7e7)2.9e7 (2e7)2.9e7 (5e7)2.9e7 (3e7)2.9e7 (3e7)1/15
VkD-CMA largescale Varelas 2.2e4 (4e4)8.6e5 (2e6)2.9e7 (2e7)2.9e7 (2e7)2.9e7 (3e7)2.9e7 (4e7)2.9e7 (2e7)1/15
m2DLBFGS largescale Varelas 4519 (1621)3.6e5 (6e5)2.5e6 (1e6)2.5e6 (3e6)2.5e6 (2e6)2.5e6 (2e6)9.0e6 (1e7)0/15
sepCMA largescale Varelas 1.3e4 (1e4)8.8e5 (2e6)2.8e7 (7e7)2.8e7 (2e7)2.8e7 (2e7)2.8e7 (3e7)2.8e7 (2e7)1/15

Δ fopt
f23, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 59 (92)8.7e4 (1e5)4.9e5 (4e5)1.4e7 (2e7)★22e60/15
LBFGS largescale Varelas 2569 (2614)2e60/15
LMCMA14 largescale Varelas 53 (46)1825 (3414)2e60/15
LMCMA17 largescale Varelas 36 (34)950 (179)1.7e6 (3e6)2e60/15
R10ES largescale Varelas 23 (29)3.1e5 (5e5)2e60/15
R2ES largescale Varelas 44 (58)1.3e6 (1e6)2e60/15
V2D-CMA largescale Varelas 67 (78)1.5e4 (1e4)1.3e7 (3e7)2e60/15
VD-CMA largescale Varelas 20 (24)5.5e4 (6e4)9.4e5 (1e6)2e60/15
VkD-CMA largescale Varelas 45 (46)1.4e4 (2e4)1.5e7 (2e7)2e60/15
m2DLBFGS largescale Varelas 382 (359)2.6e6 (6e6)2e60/15
sepCMA largescale Varelas 44 (44)1.1e5 (9e4)8.8e6 (2e7)2e60/15

Δ fopt
f24, 40-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e60/15
LBFGS largescale Varelas 2e60/15
LMCMA14 largescale Varelas 2e60/15
LMCMA17 largescale Varelas 2e60/15
R10ES largescale Varelas 2e60/15
R2ES largescale Varelas 2e60/15
V2D-CMA largescale Varelas 2e60/15
VD-CMA largescale Varelas 2e60/15
VkD-CMA largescale Varelas 2e60/15
m2DLBFGS largescale Varelas 2e60/15
sepCMA largescale Varelas 2e60/15

Previous dimension | Dimension = 80 | Next dimension

Δ fopt
f1, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1441 (155)2319 (201)3202 (225)4127 (144)4994 (214)6804 (283)8607 (237)15/15
LBFGS largescale Varelas 245 (0)245 (0)245 (0)245 (0)245 (0)245 (0)256 (0)15/15
LMCMA14 largescale Varelas 1138 (95)1823 (73)2476 (106)3139 (121)3835 (149)5212 (132)6591 (205)15/15
LMCMA17 largescale Varelas 1149 (54)1828 (123)2541 (101)3232 (97)3912 (94)5268 (149)6659 (142)15/15
R10ES largescale Varelas 1171 (104)1821 (162)2498 (125)3176 (178)3849 (182)5299 (220)6678 (232)15/15
R2ES largescale Varelas 1133 (76)1740 (89)2426 (126)3109 (113)3813 (138)5204 (125)6606 (140)15/15
V2D-CMA largescale Varelas 944 (68)1541 (100)2121 (114)2747 (143)3354 (221)4620 (244)5835 (249)15/15
VD-CMA largescale Varelas 1423 (84)2310 (107)3175 (136)4033 (158)4889 (188)6615 (210)8328 (298)15/15
VkD-CMA largescale Varelas 980 (84)1579 (108)2161 (138)2788 (128)3430 (141)4794 (142)6137 (198)15/15
m2DLBFGS largescale Varelas 245 (0)245 (0)245 (0)245 (0)245 (0)245 (0)256 (40)15/15
sepCMA largescale Varelas 1307 (140)2133 (133)2957 (168)3793 (131)4631 (149)6254 (170)7951 (171)15/15

Δ fopt
f2, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.1e5 (6990)1.3e5 (9938)1.5e5 (9105)1.6e5 (5657)1.7e5 (8792)1.9e5 (8886)2.1e5 (4026)15/15
LBFGS largescale Varelas 1.2e5 (2e4)1.9e5 (2e4)2.7e5 (4e4)3.5e5 (6e4)4.2e5 (5e4)5.6e5 (7e4)7.0e5 (9e4)11/15
LMCMA14 largescale Varelas 3.1e5 (5e4)5.1e5 (1e5)7.2e5 (2e5)8.9e5 (2e5)1.1e6 (3e5)1.5e6 (3e5)1.9e6 (3e5)15/15
LMCMA17 largescale Varelas 1.9e5 (3e4)2.9e5 (4e4)3.9e5 (6e4)4.8e5 (4e4)5.6e5 (7e4)7.3e5 (7e4)9.2e5 (1e5)15/15
R10ES largescale Varelas 3.1e5 (5e4)4.6e5 (5e4)6.0e5 (7e4)7.4e5 (9e4)9.1e5 (1e5)1.2e6 (1e5)1.5e6 (2e5)15/15
R2ES largescale Varelas 3.2e5 (4e4)4.8e5 (7e4)6.3e5 (1e5)7.8e5 (7e4)9.3e5 (1e5)1.2e6 (2e5)1.5e6 (2e5)15/15
V2D-CMA largescale Varelas 2.9e4 (3961)3.3e4 (3860)3.6e4 (2863)3.8e4 (1127)4.0e4 (1647)4.3e4 (1538)4.5e4 (2431)15/15
VD-CMA largescale Varelas 2.7e4 (1391)3.0e4 (1909)3.2e4 (1834)3.3e4 (1745)3.5e4 (1880)3.7e4 (1316)3.9e4 (1508)15/15
VkD-CMA largescale Varelas 2.8e4 (7569)3.7e4 (9501)4.3e4 (9728)4.8e4 (8731)5.3e4 (1e4)5.9e4 (1e4)6.4e4 (1e4)15/15
m2DLBFGS largescale Varelas 4.7e4 (2794)6.1e4 (3928)7.2e4 (3179)8.1e4 (2450)9.0e4 (5852)1.1e5 (7270)1.2e5 (5670)15/15
sepCMA largescale Varelas 1.4e4 (873)★41.5e4 (1284)★41.6e4 (934)★41.7e4 (1537)★41.8e4 (1392)★42.0e4 (1576)★42.2e4 (1595)★415/15

Δ fopt
f3, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4e60/15
LMCMA17 largescale Varelas 4e60/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 4e60/15
V2D-CMA largescale Varelas 4e60/15
VD-CMA largescale Varelas 4e60/15
VkD-CMA largescale Varelas 4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 4e60/15

Δ fopt
f4, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4e60/15
LMCMA17 largescale Varelas 4e60/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 4e60/15
V2D-CMA largescale Varelas 4e60/15
VD-CMA largescale Varelas 4e60/15
VkD-CMA largescale Varelas 4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 4e60/15

Δ fopt
f5, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 849 (66)982 (68)1016 (91)1025 (98)1025 (112)1025 (102)1025 (110)15/15
LBFGS largescale Varelas 412 (20)472 (40)493 (61)493 (81)493 (81)493 (61)493 (61)15/15
LMCMA14 largescale Varelas 631 (130)683 (116)695 (176)699 (104)699 (174)699 (183)699 (175)15/15
LMCMA17 largescale Varelas 535 (94)592 (62)613 (87)613 (78)613 (100)613 (88)613 (88)15/15
R10ES largescale Varelas 612 (109)669 (110)674 (117)674 (118)674 (140)674 (128)674 (89)15/15
R2ES largescale Varelas 600 (42)673 (104)676 (117)680 (117)680 (110)680 (117)680 (117)15/15
V2D-CMA largescale Varelas 704 (108)758 (102)774 (85)777 (117)777 (93)777 (110)777 (83)15/15
VD-CMA largescale Varelas 747 (82)844 (123)862 (134)862 (92)862 (98)863 (94)863 (85)15/15
VkD-CMA largescale Varelas 661 (57)770 (97)789 (89)796 (111)796 (114)798 (124)798 (99)15/15
m2DLBFGS largescale Varelas 396 (40)461 (40)477 (40)483 (61)483 (61)483 (40)483 (61)15/15
sepCMA largescale Varelas 972 (74)1202 (133)1288 (142)1291 (136)1291 (142)1291 (80)1291 (160)15/15

Δ fopt
f6, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.3e4 (1402)2.0e4 (2358)2.6e4 (2424)3.3e4 (3518)4.0e4 (3282)5.3e4 (4392)6.8e4 (4704)15/15
LBFGS largescale Varelas 3.1e4 (8262)5.0e4 (8019)7.1e4 (8222)9.1e4 (8140)1.1e5 (1e4)1.5e5 (1e4)1.9e5 (1e4)15/15
LMCMA14 largescale Varelas 6.8e6 (5e6)4e60/15
LMCMA17 largescale Varelas 2.1e5 (8e4)4.9e5 (2e5)7.6e5 (3e5)1.0e6 (3e5)1.3e6 (3e5)1.8e6 (4e5)2.3e6 (2e5)15/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 5.2e4 (9022)8.3e4 (8280)1.1e5 (1e4)1.4e5 (1e4)1.8e5 (8214)2.4e5 (1e4)3.1e5 (1e4)14/15
V2D-CMA largescale Varelas 3.3e4 (5666)5.7e4 (1e4)8.6e4 (2e4)1.2e5 (6e4)1.6e5 (5e4)4.6e5 (1e5)6.0e5 (9e5)15/15
VD-CMA largescale Varelas 1.7e4 (2552)2.4e4 (2347)3.2e4 (3698)4.0e4 (5096)4.8e4 (4153)6.4e4 (7024)7.9e4 (9486)15/15
VkD-CMA largescale Varelas 1.4e5 (2e5)9.0e5 (8e5)2.3e6 (2e6)6.1e6 (7e6)5.6e7 (1e8)4e60/15
m2DLBFGS largescale Varelas 3.3e4 (1e4)5.7e4 (1e4)8.4e4 (2e4)1.1e5 (2e4)1.4e5 (2e4)1.8e5 (2e4)2.3e5 (2e4)15/15
sepCMA largescale Varelas 1.3e4 (1561)1.9e4 (2345)2.6e4 (3662)3.2e4 (2980)4.0e4 (6694)5.5e4 (8811)7.0e4 (2e4)15/15

Δ fopt
f7, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2.8e7 (5e7)4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4e60/15
LMCMA17 largescale Varelas 4e60/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 4e60/15
V2D-CMA largescale Varelas 4e60/15
VD-CMA largescale Varelas 7.7e6 (6e6)4e60/15
VkD-CMA largescale Varelas 4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 5.7e7 (5e7)4e60/15

Δ fopt
f8, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.7e5 (8172)2.4e5 (2e4)2.5e5 (7e4)2.5e5 (8e4)2.5e5 (8e4)2.6e5 (8152)2.6e5 (8e4)15/15
LBFGS largescale Varelas 2.5e4 (8384)3.5e4 (1e4)3.6e4 (1e4)3.7e4 (2e4)3.7e4 (2e4)3.8e4 (1e4)3.8e4 (2e4)15/15
LMCMA14 largescale Varelas 1.4e5 (7200)8.0e5 (2e6)8.0e5 (2e6)8.1e5 (1e6)8.1e5 (2e6)8.1e5 (2e6)8.2e5 (3e6)13/15
LMCMA17 largescale Varelas 9.5e4 (2e4)1.1e6 (1e6)1.1e6 (3e6)1.1e6 (3e6)1.1e6 (2e6)1.1e6 (2e6)1.1e6 (4e4)12/15
R10ES largescale Varelas 1.9e5 (4e4)8.8e5 (1e6)8.9e5 (1e6)8.9e5 (1e6)9.0e5 (2e6)9.0e5 (1e6)9.0e5 (2e6)13/15
R2ES largescale Varelas 1.1e5 (6934)2.1e6 (6e6)2.1e6 (2e6)2.1e6 (7e6)2.2e6 (3e6)2.2e6 (5e6)2.2e6 (3e6)10/15
V2D-CMA largescale Varelas 8.8e4 (5472)1.2e5 (4e4)1.3e5 (5e4)1.3e5 (5e4)1.3e5 (2e4)1.3e5 (5e4)1.4e5 (4e4)15/15
VD-CMA largescale Varelas 1.2e5 (7578)1.6e5 (4846)1.6e5 (4564)1.7e5 (7010)1.7e5 (3356)1.7e5 (7248)1.8e5 (4386)15/15
VkD-CMA largescale Varelas 7.7e4 (2e4)1.3e5 (8e4)1.4e5 (1e5)1.4e5 (9e4)1.4e5 (8e4)1.5e5 (1e5)1.5e5 (1e5)15/15
m2DLBFGS largescale Varelas 2.2e4 (4313)3.5e4 (2e4)3.7e4 (2e4)3.7e4 (1e4)3.7e4 (2e4)3.8e4 (1e4)3.8e4 (2e4)15/15
sepCMA largescale Varelas 1.3e5 (5095)2.0e5 (9e4)2.1e5 (9e4)2.2e5 (9e4)2.4e5 (9e4)2.6e5 (9e4)2.9e5 (1e5)15/15

Δ fopt
f9, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.7e5 (7564)2.2e5 (8248)2.3e5 (7209)2.4e5 (5310)2.4e5 (2e4)2.4e5 (2e4)2.4e5 (2e4)15/15
LBFGS largescale Varelas 2.6e4 (6662)3.4e4 (1e4)3.5e4 (2e4)3.5e4 (1e4)3.6e4 (2e4)3.6e4 (2e4)3.6e4 (1e4)15/15
LMCMA14 largescale Varelas 1.4e5 (1e4)7.9e5 (2e6)8.0e5 (3e6)8.1e5 (1e6)8.1e5 (2e6)8.1e5 (1e6)8.1e5 (2e6)13/15
LMCMA17 largescale Varelas 1.0e5 (4080)4.2e5 (1e4)4.2e5 (1e6)4.3e5 (1e6)4.3e5 (5540)4.3e5 (1e6)4.4e5 (2e4)14/15
R10ES largescale Varelas 2.1e5 (8e4)3.8e6 (4e6)3.8e6 (1e7)3.8e6 (5e6)3.8e6 (5e6)3.8e6 (4e6)3.8e6 (5e6)8/15
R2ES largescale Varelas 1.0e5 (7974)2.1e6 (8e6)2.1e6 (2e6)2.2e6 (3e6)2.2e6 (7e6)2.2e6 (2e6)2.2e6 (3e6)10/15
V2D-CMA largescale Varelas 1.1e5 (1e4)2.0e5 (1e5)2.0e5 (1e5)2.0e5 (1e5)2.1e5 (1e5)2.1e5 (9e4)2.1e5 (9e4)15/15
VD-CMA largescale Varelas 1.6e5 (6442)2.4e5 (6584)2.5e5 (8227)2.5e5 (6030)2.5e5 (7e4)2.6e5 (8145)2.6e5 (7e4)15/15
VkD-CMA largescale Varelas 1.0e5 (2e4)1.7e5 (9e4)1.7e5 (1e5)1.8e5 (1e5)1.8e5 (1e5)1.8e5 (9e4)1.8e5 (1e5)15/15
m2DLBFGS largescale Varelas 2.2e4 (4799)2.9e4 (1e4)3.0e4 (7006)3.1e4 (7250)3.1e4 (1e4)3.2e4 (8282)3.2e4 (8302)15/15
sepCMA largescale Varelas 6.1e5 (4e4)2.2e6 (2e6)1.7e7 (3e7)2.7e7 (5e7)5.7e7 (5e7)4e60/15

Δ fopt
f10, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.1e5 (7667)1.3e5 (1e4)1.5e5 (1e4)1.6e5 (5787)1.7e5 (7319)1.9e5 (7171)2.1e5 (5865)★415/15
LBFGS largescale Varelas 1.2e5 (3e4)1.9e5 (3e4)2.7e5 (5e4)3.4e5 (7e4)4.4e5 (8e4)6.0e5 (9e4)5.8e7 (5e7)0/15
LMCMA14 largescale Varelas 2.8e5 (5e4)4.6e5 (1e5)6.7e5 (1e5)8.4e5 (2e5)1.1e6 (2e5)1.4e6 (2e5)1.8e6 (2e5)15/15
LMCMA17 largescale Varelas 2.0e5 (3e4)3.1e5 (5e4)4.1e5 (5e4)5.1e5 (5e4)6.2e5 (5e4)8.2e5 (1e5)1.1e6 (9e4)15/15
R10ES largescale Varelas 2.8e5 (4e4)4.4e5 (9e4)6.2e5 (1e5)7.5e5 (1e5)8.9e5 (1e5)1.2e6 (1e5)1.5e6 (2e5)15/15
R2ES largescale Varelas 2.9e5 (4e4)4.3e5 (6e4)5.7e5 (9e4)7.0e5 (1e5)8.4e5 (7e4)1.1e6 (1e5)1.4e6 (1e5)15/15
V2D-CMA largescale Varelas 8.8e5 (6e5)1.5e6 (9e5)2.3e6 (2e6)3.1e6 (2e6)4.0e6 (7e6)1.1e7 (6e6)2.8e7 (6e7)2/15
VD-CMA largescale Varelas 1.9e6 (2e6)5.4e6 (3e6)1.3e7 (1e7)2.7e7 (4e7)2.8e7 (3e7)5.8e7 (8e7)5.8e7 (8e7)0/15
VkD-CMA largescale Varelas 4.0e5 (1e5)5.5e5 (2e5)6.7e5 (2e5)7.4e5 (1e5)8.0e5 (1e5)8.9e5 (2e5)9.3e5 (1e5)15/15
m2DLBFGS largescale Varelas 4.6e4 (4010)★46.0e4 (3179)★47.1e4 (4252)★48.0e4 (4111)★49.1e4 (5609)★41.8e5 (1e5)2.8e7 (2e7)0/15
sepCMA largescale Varelas 4e60/15

Δ fopt
f11, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 6.0e4 (2880)6.4e4 (2475)6.7e4 (2173)7.0e4 (1414)7.2e4 (1404)7.5e4 (1080)7.9e4 (1039)★415/15
LBFGS largescale Varelas 4290 (486)6536 (1195)8664 (1904)1.0e4 (2612)2.6e4 (2e4)2.7e5 (2e5)4e60/15
LMCMA14 largescale Varelas 1.1e5 (2e4)2.3e5 (4e4)3.4e5 (5e4)4.5e5 (5e4)5.7e5 (8e4)8.0e5 (7e4)1.0e6 (1e5)15/15
LMCMA17 largescale Varelas 3.3e4 (4089)7.5e4 (1e4)1.4e5 (2e4)2.2e5 (3e4)2.9e5 (3e4)4.5e5 (4e4)5.8e5 (4e4)15/15
R10ES largescale Varelas 5.3e4 (2e4)1.3e5 (2e4)2.0e5 (4e4)2.9e5 (4e4)3.7e5 (4e4)5.2e5 (5e4)6.8e5 (7e4)14/15
R2ES largescale Varelas 1.2e6 (2e5)2.0e6 (2e5)2.7e6 (3e5)3.4e6 (2e5)1.5e7 (1e7)4e60/15
V2D-CMA largescale Varelas 5.7e6 (4e6)4e60/15
VD-CMA largescale Varelas 4e60/15
VkD-CMA largescale Varelas 1.2e5 (2e4)2.1e5 (3e4)2.7e5 (8e4)3.4e5 (9e4)3.9e5 (6e4)5.0e5 (9e4)7.6e6 (2e7)0/15
m2DLBFGS largescale Varelas 4257 (1073)6325 (1721)8210 (2146)9879 (1802)1.3e4 (2126)★26.6e4 (6e4)4e60/15
sepCMA largescale Varelas 4e60/15

Δ fopt
f12, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.5e4 (1e4)3.9e4 (1e4)6.1e4 (6e4)1.1e5 (9e4)1.3e5 (1e5)1.7e5 (1e5)2.1e5 (6e4)15/15
LBFGS largescale Varelas 1789 (1235)4554 (3139)6774 (3240)1.1e4 (7108)1.4e4 (9396)5.1e4 (4e4)1.1e6 (2e6)4/15
LMCMA14 largescale Varelas 1.3e4 (2e4)1.1e5 (2e4)9.2e5 (2e6)8.8e6 (2e7)2.6e7 (4e7)5.6e7 (8e7)4e60/15
LMCMA17 largescale Varelas 1.4e4 (1e4)3.2e4 (2e4)6.3e4 (5e4)9.8e4 (7e4)1.2e5 (7e4)1.7e5 (6e4)2.0e5 (7e4)15/15
R10ES largescale Varelas 1.4e4 (2e4)5.8e4 (8e4)1.1e5 (1e5)2.1e5 (9e4)2.5e5 (9e4)3.1e5 (1e5)3.4e5 (1e5)13/15
R2ES largescale Varelas 1.1e4 (6332)2.8e4 (8034)8.8e5 (2e6)8.0e6 (1e7)2.6e7 (2e7)5.6e7 (4e7)4e60/15
V2D-CMA largescale Varelas 1.2e4 (8872)2.4e4 (1e4)4.2e4 (3e4)6.5e4 (3e4)8.2e4 (3e4)1.1e5 (3e4)1.3e5 (4e4)15/15
VD-CMA largescale Varelas 9833 (5677)2.7e4 (2e4)1.2e6 (1e6)6.4e6 (7e6)1.8e7 (3e7)4e60/15
VkD-CMA largescale Varelas 1.4e4 (1e4)2.6e4 (2e4)4.5e4 (4e4)6.2e4 (4e4)7.0e4 (3e4)1.0e5 (5e4)1.2e5 (3e4)15/15
m2DLBFGS largescale Varelas 1363 (182)3420 (1640)5861 (2390)7854 (5103)1.5e4 (2e4)6.1e4 (7e4)1.5e6 (3e6)2/15
sepCMA largescale Varelas 8.2e5 (2e6)7.3e6 (1e7)2.8e7 (5e7)5.7e7 (6e7)4e60/15

Δ fopt
f13, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 5729 (669)4.5e4 (5e4)7.5e5 (7e5)3.2e6 (3e6)5.8e7 (3e7)4e60/15
LBFGS largescale Varelas 2205 (223)2.3e4 (2e4)1.6e5 (2e5)2.0e6 (3e6)6.2e6 (8e6)4e60/15
LMCMA14 largescale Varelas 2.0e4 (6849)1.1e6 (2e6)2.5e6 (3e6)2.7e7 (3e7)4e60/15
LMCMA17 largescale Varelas 1.0e4 (6204)8.3e4 (1e5)1.3e6 (2e6)7.9e6 (1e7)2.8e7 (3e7)4e60/15
R10ES largescale Varelas 1.0e6 (3e6)2.6e7 (4e7)4e60/15
R2ES largescale Varelas 4235 (752)1.1e7 (2e7)5.6e7 (1e8)4e60/15
V2D-CMA largescale Varelas 6654 (4763)4.7e4 (5e4)4.7e5 (1e6)6.2e6 (7e6)2.7e7 (2e7)4e60/15
VD-CMA largescale Varelas 7315 (450)5.0e4 (6e4)3.1e5 (3e5)2.6e6 (5e6)1.1e7 (1e7)6.0e7 (5e7)4e60/15
VkD-CMA largescale Varelas 4482 (691)9.9e4 (9e4)7.7e5 (1e6)4.7e6 (6e6)5.9e7 (4e7)4e60/15
m2DLBFGS largescale Varelas 2243 (122)2.1e4 (2e4)7.0e4 (9e4)1.1e5 (2e5)★22.1e5 (1e5)★34e60/15
sepCMA largescale Varelas 6632 (6251)5.8e4 (8e4)6.9e5 (9e5)7.7e6 (1e7)4e60/15

Δ fopt
f14, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1270 (188)2704 (280)4169 (250)7337 (579)1.6e4 (942)5.8e4 (2799)1.3e5 (5964)★415/15
LBFGS largescale Varelas 504 (61)893 (101)1314 (182)2065 (263)4025 (364)3.8e4 (6844)4e60/15
LMCMA14 largescale Varelas 876 (132)1912 (173)2840 (172)4582 (366)9338 (628)1.0e5 (9776)1.8e6 (2e5)0/15
LMCMA17 largescale Varelas 810 (93)1693 (110)2474 (180)3784 (247)7584 (321)7.2e4 (7318)9.8e5 (9e4)6/15
R10ES largescale Varelas 915 (114)1998 (206)2887 (214)4839 (270)1.1e4 (767)9.5e4 (1e4)1.8e6 (2e5)0/15
R2ES largescale Varelas 902 (83)1937 (212)2821 (308)4480 (334)9491 (527)1.0e5 (1e4)1.8e6 (4e5)0/15
V2D-CMA largescale Varelas 932 (169)2027 (338)2956 (388)4846 (291)1.2e4 (812)3.6e5 (3e5)4e60/15
VD-CMA largescale Varelas 1245 (191)2616 (294)4042 (373)7161 (592)1.6e4 (1178)3.3e5 (1e5)4e60/15
VkD-CMA largescale Varelas 973 (94)2060 (218)3041 (348)5183 (603)1.2e4 (1244)1.3e5 (3e4)2.3e6 (3e6)0/15
m2DLBFGS largescale Varelas 488 (81)904 (182)1298 (284)2092 (304)4003 (364)1.5e4 (790)★44e60/15
sepCMA largescale Varelas 1168 (224)2467 (319)3806 (162)6403 (314)1.6e4 (2782)6.2e6 (6e6)4e60/15

Δ fopt
f15, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4e60/15
LMCMA17 largescale Varelas 4e60/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 4e60/15
V2D-CMA largescale Varelas 4e60/15
VD-CMA largescale Varelas 4e60/15
VkD-CMA largescale Varelas 4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 4e60/15

Δ fopt
f16, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8320 (1162)4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4.6e6 (6e6)4e60/15
LMCMA17 largescale Varelas 7190 (1e4)4e60/15
R10ES largescale Varelas 3.5e6 (7e6)4e60/15
R2ES largescale Varelas 4.6e6 (6e6)4e60/15
V2D-CMA largescale Varelas 1.7e4 (4e4)4e60/15
VD-CMA largescale Varelas 1.7e4 (1258)4e60/15
VkD-CMA largescale Varelas 2.6e4 (6e4)4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 2.6e4 (3e4)4e60/15

Δ fopt
f17, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1080 (260)6114 (892)8.7e5 (1e6)4e60/15
LBFGS largescale Varelas 6.4e6 (1e7)4e60/15
LMCMA14 largescale Varelas 745 (281)4e60/15
LMCMA17 largescale Varelas 672 (273)4e60/15
R10ES largescale Varelas 784 (306)4e60/15
R2ES largescale Varelas 671 (136)4e60/15
V2D-CMA largescale Varelas 862 (400)4e60/15
VD-CMA largescale Varelas 1139 (251)1.6e4 (2e4)9.7e5 (1e6)4e60/15
VkD-CMA largescale Varelas 866 (186)4e60/15
m2DLBFGS largescale Varelas 1.0e6 (3e6)4e60/15
sepCMA largescale Varelas 957 (269)1.0e4 (1e4)3.6e6 (4e6)4e60/15

Δ fopt
f18, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3353 (703)1.8e5 (2e5)5.9e7 (5e7)4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4e60/15
LMCMA17 largescale Varelas 5.6e7 (5e7)4e60/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 4e60/15
V2D-CMA largescale Varelas 5.1e6 (9e6)4e60/15
VD-CMA largescale Varelas 3670 (1124)3.3e5 (4e5)4e60/15
VkD-CMA largescale Varelas 3.9e5 (5e5)4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 3378 (870)1.3e6 (1e6)4e60/15

Δ fopt
f19, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1070 (277)8.5e6 (1e7)4e60/15
LBFGS largescale Varelas 5.9e7 (6e7)4e60/15
LMCMA14 largescale Varelas 679 (335)4e60/15
LMCMA17 largescale Varelas 561 (111)8.1e6 (1e7)4e60/15
R10ES largescale Varelas 576 (131)4e60/15
R2ES largescale Varelas 525 (92)4e60/15
V2D-CMA largescale Varelas 656 (190)1.6e7 (3e7)4e60/15
VD-CMA largescale Varelas 959 (244)5.9e6 (8e6)4e60/15
VkD-CMA largescale Varelas 614 (112)2.8e7 (3e7)4e60/15
m2DLBFGS largescale Varelas 5.8e7 (6e7)4e60/15
sepCMA largescale Varelas 1092 (562)5.8e7 (4e7)4e60/15

Δ fopt
f20, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1869 (169)4e60/15
LBFGS largescale Varelas 547 (40)4e60/15
LMCMA14 largescale Varelas 1077 (85)4e60/15
LMCMA17 largescale Varelas 1201 (130)4e60/15
R10ES largescale Varelas 1098 (90)4e60/15
R2ES largescale Varelas 1022 (177)4e60/15
V2D-CMA largescale Varelas 1030 (148)4e60/15
VD-CMA largescale Varelas 1787 (177)4e60/15
VkD-CMA largescale Varelas 1015 (138)4e60/15
m2DLBFGS largescale Varelas 564 (61)4e60/15
sepCMA largescale Varelas 1635 (158)4e60/15

Δ fopt
f21, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3958 (8920)2.3e5 (2e5)4.7e5 (7e5)4.7e5 (1e6)4.7e5 (7e5)4.7e5 (4e5)4.7e5 (1e6)15/15
LBFGS largescale Varelas 1396 (2107)3.2e4 (3e4)1.2e5 (3e5)1.2e5 (1e5)1.2e5 (2e4)1.2e5 (2e4)1.2e7 (2e7)0/15
LMCMA14 largescale Varelas 1.0e6 (2e6)2.6e7 (3e7)2.6e7 (5e7)2.6e7 (3e7)2.6e7 (4e7)2.6e7 (3e7)2.6e7 (5e7)2/15
LMCMA17 largescale Varelas 1.0e6 (2e6)2.6e7 (3e7)5.6e7 (5e7)5.6e7 (9e7)5.6e7 (3e7)5.6e7 (5e7)5.6e7 (5e7)1/15
R10ES largescale Varelas 1.0e6 (2e6)5.6e7 (7e7)5.6e7 (5e7)5.6e7 (8e7)5.6e7 (3e7)5.6e7 (9e7)5.6e7 (4e7)1/15
R2ES largescale Varelas 1.0e6 (1e6)2.6e7 (5e7)5.6e7 (4e7)5.6e7 (6e7)5.6e7 (9e7)5.6e7 (8e7)5.6e7 (1e8)1/15
V2D-CMA largescale Varelas 3601 (5948)1.7e5 (4e5)4.2e5 (1e6)4.2e5 (7e5)4.2e5 (7e5)4.2e5 (1e6)4.2e5 (6e5)15/15
VD-CMA largescale Varelas 6743 (2e4)3.5e5 (9e5)6.1e5 (1e6)6.1e5 (2e5)6.1e5 (4e5)6.1e5 (1e6)6.1e5 (5e5)14/15
VkD-CMA largescale Varelas 4451 (3381)1.1e5 (3e5)2.4e5 (3e5)2.4e5 (4e5)2.4e5 (3e5)2.4e5 (4e5)2.4e5 (1e5)15/15
m2DLBFGS largescale Varelas 2255 (2391)4.4e4 (1e5)9.6e4 (1e5)9.7e4 (9e4)9.7e4 (1e5)9.8e4 (1e5)5.8e7 (9e7)0/15
sepCMA largescale Varelas 9451 (1e4)2.7e5 (5e5)4.5e5 (6e5)4.5e5 (6e5)4.5e5 (3e5)4.5e5 (2e5)4.6e5 (7e5)15/15

Δ fopt
f22, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 6.2e4 (2e4)2.6e6 (4e6)4e60/15
LBFGS largescale Varelas 2622 (6198)1.6e6 (3e6)4e60/15
LMCMA14 largescale Varelas 2.7e6 (4e6)1.6e7 (2e7)4e60/15
LMCMA17 largescale Varelas 2.7e6 (5e6)1.6e7 (3e7)4e60/15
R10ES largescale Varelas 4.6e6 (6e6)5.6e7 (5e7)4e60/15
R2ES largescale Varelas 3.5e6 (1e7)8.0e6 (2e7)4e60/15
V2D-CMA largescale Varelas 3.0e4 (3e4)2.0e6 (2e6)4e60/15
VD-CMA largescale Varelas 9071 (2e4)2.4e6 (3e6)4e60/15
VkD-CMA largescale Varelas 1.8e4 (4e4)3.2e6 (2e6)4e60/15
m2DLBFGS largescale Varelas 4972 (1e4)1.6e6 (3e6)4e60/15
sepCMA largescale Varelas 2.6e4 (7e4)2.2e6 (2e6)4e60/15

Δ fopt
f23, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 114 (116)7.1e4 (2e4)7.8e5 (2e6)4e60/15
LBFGS largescale Varelas 2086 (5792)4e60/15
LMCMA14 largescale Varelas 65 (42)6.2e5 (2e6)4e60/15
LMCMA17 largescale Varelas 38 (31)1891 (2509)5.7e7 (8e7)4e60/15
R10ES largescale Varelas 28 (28)6.2e5 (2e6)4e60/15
R2ES largescale Varelas 32 (34)1.5e6 (3e6)4e60/15
V2D-CMA largescale Varelas 99 (102)1.1e4 (8555)2.8e7 (5e7)4e60/15
VD-CMA largescale Varelas 107 (83)7.1e4 (7e4)2.2e6 (1e6)4e60/15
VkD-CMA largescale Varelas 61 (88)1.3e4 (1e4)4e60/15
m2DLBFGS largescale Varelas 482 (1074)5.9e7 (3e7)4e60/15
sepCMA largescale Varelas 87 (83)8.0e4 (6e4)6.3e6 (8e6)4e60/15

Δ fopt
f24, 80-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4e60/15
LBFGS largescale Varelas 4e60/15
LMCMA14 largescale Varelas 4e60/15
LMCMA17 largescale Varelas 4e60/15
R10ES largescale Varelas 4e60/15
R2ES largescale Varelas 4e60/15
V2D-CMA largescale Varelas 4e60/15
VD-CMA largescale Varelas 4e60/15
VkD-CMA largescale Varelas 4e60/15
m2DLBFGS largescale Varelas 4e60/15
sepCMA largescale Varelas 4e60/15

Previous dimension | Dimension = 160 | Next dimension

Δ fopt
f1, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2697 (124)4364 (177)5961 (128)7631 (146)9224 (136)1.2e4 (173)1.6e4 (166)15/15
LBFGS largescale Varelas 485 (0)485 (0)485 (0)485 (0)485 (0)485 (0)614 (40)15/15
LMCMA14 largescale Varelas 1946 (90)3071 (109)4220 (147)5384 (166)6513 (93)8877 (185)1.1e4 (200)15/15
LMCMA17 largescale Varelas 1865 (70)2950 (65)4006 (103)5081 (93)6113 (80)8256 (164)1.0e4 (173)15/15
R10ES largescale Varelas 1886 (135)3053 (143)4294 (156)5391 (209)6627 (122)8961 (236)1.1e4 (311)15/15
R2ES largescale Varelas 1774 (92)2960 (152)4082 (168)5199 (198)6318 (255)8732 (332)1.1e4 (274)15/15
V2D-CMA largescale Varelas 1728 (154)2797 (191)3895 (278)5018 (320)6099 (254)8290 (444)1.1e4 (446)15/15
VD-CMA largescale Varelas 2676 (227)4265 (138)5860 (130)7504 (195)9114 (162)1.2e4 (259)1.5e4 (231)15/15
VkD-CMA largescale Varelas 1739 (128)2807 (218)3891 (187)5041 (328)6172 (252)8508 (503)1.1e4 (442)15/15
m2DLBFGS largescale Varelas 485 (0)485 (0)485 (0)485 (0)485 (0)485 (0)614 (80)15/15
sepCMA largescale Varelas 2577 (87)4157 (121)5703 (109)7280 (162)8820 (161)1.2e4 (200)1.5e4 (196)15/15

Δ fopt
f2, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.7e5 (2e4)4.4e5 (2e4)5.1e5 (3e4)5.6e5 (2e4)6.1e5 (1e4)6.8e5 (2e4)7.5e5 (3e4)15/15
LBFGS largescale Varelas 2.5e5 (2e4)4.0e5 (5e4)5.8e5 (1e5)7.4e5 (1e5)9.2e5 (2e5)1.3e6 (2e5)1.6e6 (3e5)13/15
LMCMA14 largescale Varelas 5.3e5 (1e5)8.6e5 (2e5)1.2e6 (3e5)1.5e6 (2e5)1.9e6 (3e5)2.7e6 (4e5)3.5e6 (7e5)15/15
LMCMA17 largescale Varelas 3.5e5 (4e4)5.3e5 (6e4)7.1e5 (8e4)8.8e5 (7e4)1.1e6 (1e5)1.4e6 (1e5)1.8e6 (3e5)15/15
R10ES largescale Varelas 5.5e5 (4e4)8.6e5 (1e5)1.2e6 (6e4)1.4e6 (1e5)1.7e6 (1e5)2.3e6 (1e5)2.9e6 (3e5)15/15
R2ES largescale Varelas 5.9e5 (5e4)8.3e5 (8e4)1.1e6 (6e4)1.3e6 (1e5)1.6e6 (1e5)2.1e6 (1e5)2.6e6 (2e5)15/15
V2D-CMA largescale Varelas 6.5e4 (4850)7.6e4 (5100)8.5e4 (6990)9.1e4 (5994)9.5e4 (5081)1.0e5 (4882)1.1e5 (3142)15/15
VD-CMA largescale Varelas 6.1e4 (3475)6.8e4 (4918)7.2e4 (5428)7.5e4 (4578)7.8e4 (5555)8.2e4 (3436)8.5e4 (5372)15/15
VkD-CMA largescale Varelas 6.9e4 (2e4)9.9e4 (3e4)1.2e5 (5e4)1.4e5 (4e4)1.5e5 (4e4)1.8e5 (3e4)1.9e5 (5e4)15/15
m2DLBFGS largescale Varelas 1.2e5 (7970)1.5e5 (7084)1.9e5 (1e4)2.1e5 (8533)2.5e5 (8050)2.9e5 (1e4)3.3e5 (8573)15/15
sepCMA largescale Varelas 3.3e4 (2164)★43.7e4 (2602)★43.9e4 (3115)★44.2e4 (2630)★44.4e4 (2548)★44.7e4 (3007)★45.0e4 (2903)★415/15

Δ fopt
f3, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 8e60/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 8e60/15
V2D-CMA largescale Varelas 8e60/15
VD-CMA largescale Varelas 8e60/15
VkD-CMA largescale Varelas 8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 8e60/15

Δ fopt
f4, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 8e60/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 8e60/15
V2D-CMA largescale Varelas 8e60/15
VD-CMA largescale Varelas 8e60/15
VkD-CMA largescale Varelas 8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 8e60/15

Δ fopt
f5, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1648 (123)2019 (160)2157 (299)2171 (208)2172 (286)2172 (197)2172 (227)15/15
LBFGS largescale Varelas 764 (80)861 (80)925 (80)925 (121)925 (121)925 (121)925 (121)15/15
LMCMA14 largescale Varelas 1181 (180)1310 (201)1348 (210)1353 (213)1354 (192)1354 (200)1354 (179)15/15
LMCMA17 largescale Varelas 977 (164)1071 (149)1108 (168)1113 (120)1116 (186)1116 (192)1116 (174)15/15
R10ES largescale Varelas 1090 (111)1196 (113)1236 (171)1240 (168)1240 (180)1240 (168)1240 (168)15/15
R2ES largescale Varelas 1146 (51)1310 (97)1349 (129)1352 (113)1358 (101)1358 (119)1358 (141)15/15
V2D-CMA largescale Varelas 1178 (281)1332 (202)1373 (148)1383 (235)1383 (260)1383 (361)1383 (361)15/15
VD-CMA largescale Varelas 1323 (115)1515 (146)1556 (154)1574 (152)1577 (160)1577 (144)1577 (158)15/15
VkD-CMA largescale Varelas 1217 (199)1420 (196)1499 (190)1521 (157)1521 (186)1521 (153)1521 (156)15/15
m2DLBFGS largescale Varelas 764 (161)861 (121)904 (80)914 (161)914 (121)914 (121)914 (121)15/15
sepCMA largescale Varelas 1810 (166)2321 (225)2500 (151)2525 (168)2531 (145)2531 (170)2531 (227)15/15

Δ fopt
f6, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.7e4 (3422)5.4e4 (3646)7.3e4 (4054)9.2e4 (6828)1.1e5 (9415)1.5e5 (9784)1.9e5 (7804)15/15
LBFGS largescale Varelas 8.2e4 (1e4)1.4e5 (2e4)1.9e5 (2e4)2.4e5 (3e4)2.9e5 (3e4)3.9e5 (3e4)5.0e5 (3e4)15/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 4.5e5 (6e5)9.4e5 (1e6)1.5e6 (1e6)2.1e6 (2e6)2.6e6 (2e6)3.9e6 (2e6)5.3e6 (5e6)12/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 1.3e5 (1e4)2.0e5 (2e4)2.7e5 (1e4)3.4e5 (2e4)4.2e5 (2e4)5.7e5 (2e4)7.2e5 (2e4)15/15
V2D-CMA largescale Varelas 9.1e4 (1e4)1.7e5 (4e4)2.6e5 (7e4)3.8e5 (6e4)5.2e5 (6e4)8.2e5 (2e5)1.2e6 (2e5)15/15
VD-CMA largescale Varelas 4.7e4 (5879)6.8e4 (6287)9.0e4 (9290)1.1e5 (1e4)1.4e5 (1e4)1.8e5 (2e4)2.4e5 (3e4)15/15
VkD-CMA largescale Varelas 2.6e6 (2e6)1.2e8 (2e8)8e60/15
m2DLBFGS largescale Varelas 8.2e4 (3e4)1.5e5 (3e4)2.2e5 (3e4)2.9e5 (4e4)3.6e5 (3e4)5.0e5 (4e4)6.5e5 (5e4)15/15
sepCMA largescale Varelas 3.4e4 (3097)5.0e4 (8274)6.8e4 (1e4)8.6e4 (2e4)1.1e5 (2e4)1.5e5 (4e4)2.0e5 (4e4)15/15

Δ fopt
f7, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 8e60/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 8e60/15
V2D-CMA largescale Varelas 8e60/15
VD-CMA largescale Varelas 8e60/15
VkD-CMA largescale Varelas 8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 8e60/15

Δ fopt
f8, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 7.3e5 (1e4)9.4e5 (2e5)1.2e6 (6e5)1.2e6 (6e5)1.2e6 (6e5)1.2e6 (6e5)1.2e6 (6e5)15/15
LBFGS largescale Varelas 7.8e4 (3e4)9.6e4 (3e4)1.2e5 (1e5)1.2e5 (1e5)1.2e5 (1e5)1.3e5 (1e5)1.3e5 (1e5)15/15
LMCMA14 largescale Varelas 3.6e5 (1e5)4.9e5 (2e5)1.7e6 (4e6)1.8e6 (2e6)1.8e6 (4e6)1.8e6 (6e6)1.8e6 (6e6)13/15
LMCMA17 largescale Varelas 3.4e5 (8e4)4.3e5 (1e5)4.4e5 (2e5)4.5e5 (2e5)4.6e5 (2e5)4.7e5 (2e5)4.7e5 (1e5)15/15
R10ES largescale Varelas 5.6e5 (3e5)7.0e5 (4e5)1.3e6 (2e6)1.3e6 (4e5)1.3e6 (2e6)1.3e6 (2e6)1.3e6 (3e5)14/15
R2ES largescale Varelas 3.5e5 (1e5)4.6e5 (2e5)4.7e5 (1e5)4.8e5 (1e5)4.8e5 (1e5)4.8e5 (2e5)4.9e5 (8e4)15/15
V2D-CMA largescale Varelas 2.5e5 (6e4)3.1e5 (9e4)3.7e5 (2e5)3.7e5 (2e5)3.8e5 (1e5)3.9e5 (1e5)3.9e5 (1e5)15/15
VD-CMA largescale Varelas 4.2e5 (6956)5.5e5 (9037)6.0e5 (2e5)6.1e5 (2e5)6.2e5 (1e4)6.2e5 (2e5)6.3e5 (2e5)15/15
VkD-CMA largescale Varelas 2.5e5 (5e4)3.1e5 (9e4)3.3e5 (9e4)3.4e5 (9e4)3.4e5 (9e4)3.5e5 (9e4)3.5e5 (9e4)15/15
m2DLBFGS largescale Varelas 8.5e4 (2e4)1.1e5 (2e4)1.2e5 (7e4)1.2e5 (6e4)1.3e5 (6e4)1.3e5 (6e4)1.3e5 (8e4)15/15
sepCMA largescale Varelas 3.1e5 (1e4)4.1e5 (2e4)5.3e5 (3e5)5.4e5 (1e5)5.5e5 (3e5)5.8e5 (3e5)6.1e5 (3e5)15/15

Δ fopt
f9, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 7.4e5 (2e4)1.0e6 (3e4)1.4e6 (5e5)1.4e6 (5e5)1.4e6 (5e5)1.4e6 (5e5)1.4e6 (5e5)15/15
LBFGS largescale Varelas 7.2e4 (2e4)8.5e4 (3e4)1.4e5 (2e5)1.4e5 (7e4)1.4e5 (8e4)1.4e5 (2e5)1.4e5 (1e5)15/15
LMCMA14 largescale Varelas 4.1e5 (1e5)5.4e5 (1e5)2.5e6 (6e6)2.5e6 (8e6)2.5e6 (4e6)2.5e6 (4e6)2.6e6 (4e6)12/15
LMCMA17 largescale Varelas 3.9e5 (1e4)5.3e5 (8e4)1.8e6 (4e6)1.8e6 (2e6)1.8e6 (8e6)1.8e6 (4e6)1.8e6 (6e6)13/15
R10ES largescale Varelas 8.9e5 (1e5)1.1e6 (3e5)3.2e6 (4e6)3.2e6 (2e6)3.2e6 (4e6)3.2e6 (6e6)3.2e6 (6e6)12/15
R2ES largescale Varelas 3.6e5 (8e4)4.8e5 (2e5)1.7e6 (2e6)1.7e6 (1e5)1.8e6 (2e6)1.8e6 (4e6)1.8e6 (2e6)13/15
V2D-CMA largescale Varelas 3.6e5 (8e4)4.9e5 (8e4)7.1e5 (6e5)7.2e5 (6e5)7.2e5 (6e5)7.3e5 (2e5)7.3e5 (6e5)15/15
VD-CMA largescale Varelas 5.9e5 (7e4)7.8e5 (1e5)1.0e6 (5e5)1.0e6 (7e5)1.0e6 (2e5)1.0e6 (7e5)1.0e6 (2e5)15/15
VkD-CMA largescale Varelas 3.6e5 (1e5)4.6e5 (2e5)6.4e5 (4e5)6.4e5 (4e5)6.5e5 (4e5)6.6e5 (3e5)6.6e5 (4e5)15/15
m2DLBFGS largescale Varelas 7.9e4 (2e4)9.4e4 (3e4)1.0e5 (6e4)1.1e5 (7e4)1.1e5 (7e4)1.1e5 (6e4)1.1e5 (6e4)15/15
sepCMA largescale Varelas 2.0e6 (1e5)1.1e8 (1e8)1.1e8 (9e7)1.1e8 (2e8)1.1e8 (1e8)8e60/15

Δ fopt
f10, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.7e5 (3e4)4.4e5 (3e4)5.0e5 (3e4)5.6e5 (3e4)6.0e5 (2e4)6.8e5 (2e4)7.5e5 (3e4)★215/15
LBFGS largescale Varelas 2.5e5 (3e4)3.9e5 (5e4)5.6e5 (9e4)7.2e5 (1e5)9.1e5 (8e4)1.3e6 (2e5)8e60/15
LMCMA14 largescale Varelas 5.1e5 (6e4)8.6e5 (1e5)1.2e6 (2e5)1.5e6 (2e5)1.9e6 (3e5)2.6e6 (4e5)3.4e6 (6e5)15/15
LMCMA17 largescale Varelas 3.7e5 (4e4)5.6e5 (7e4)7.6e5 (8e4)9.5e5 (1e5)1.1e6 (2e5)1.5e6 (1e5)1.9e6 (2e5)15/15
R10ES largescale Varelas 5.3e5 (6e4)8.1e5 (1e5)1.1e6 (1e5)1.4e6 (2e5)1.7e6 (3e5)2.3e6 (2e5)3.0e6 (4e5)15/15
R2ES largescale Varelas 5.8e5 (1e5)8.4e5 (1e5)1.1e6 (2e5)1.4e6 (1e5)1.6e6 (2e5)2.1e6 (3e5)2.7e6 (3e5)15/15
V2D-CMA largescale Varelas 1.6e6 (1e6)3.1e6 (2e6)4.8e6 (5e6)7.4e6 (5e6)1.7e7 (3e7)5.6e7 (5e7)5.7e7 (1e8)2/15
VD-CMA largescale Varelas 3.3e6 (1e6)5.5e6 (5e6)1.1e7 (6e6)2.8e7 (3e7)1.2e8 (1e8)8e60/15
VkD-CMA largescale Varelas 1.0e6 (4e5)1.6e6 (4e5)2.1e6 (4e5)2.5e6 (4e5)2.9e6 (4e5)3.4e6 (5e5)3.7e6 (4e5)9/15
m2DLBFGS largescale Varelas 1.2e5 (9378)★41.6e5 (5917)★41.9e5 (1e4)★42.1e5 (5514)★42.4e5 (1e4)★43.9e5 (2e5)★41.1e8 (2e8)0/15
sepCMA largescale Varelas 8e60/15

Δ fopt
f11, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2.7e5 (9690)2.9e5 (7198)3.0e5 (5361)3.1e5 (4090)3.2e5 (3726)3.4e5 (3128)3.5e5 (3426)★415/15
LBFGS largescale Varelas 1.1e4 (2415)1.7e4 (2334)2.4e4 (6520)3.5e4 (1e4)1.1e5 (8e4)2.0e6 (3e6)8e60/15
LMCMA14 largescale Varelas 2.5e5 (5e4)4.6e5 (6e4)6.6e5 (3e4)9.0e5 (9e4)1.1e6 (9e4)1.5e6 (1e5)2.0e6 (1e5)15/15
LMCMA17 largescale Varelas 7.7e4 (7944)1.9e5 (3e4)3.5e5 (2e4)5.1e5 (3e4)6.8e5 (5e4)1.0e6 (6e4)1.3e6 (7e4)15/15
R10ES largescale Varelas 1.4e5 (4e4)3.4e5 (7e4)5.4e5 (9e4)7.4e5 (1e5)9.4e5 (1e5)1.3e6 (1e5)1.7e6 (3e5)9/15
R2ES largescale Varelas 6.8e5 (1e5)1.1e6 (1e5)1.4e6 (1e5)1.8e6 (2e5)2.2e6 (2e5)2.9e6 (2e5)3.6e6 (2e5)10/15
V2D-CMA largescale Varelas 3.7e7 (4e7)8e60/15
VD-CMA largescale Varelas 8e60/15
VkD-CMA largescale Varelas 2.7e5 (7e4)4.9e5 (2e5)7.0e5 (3e5)8.9e5 (3e5)1.1e6 (4e5)1.8e6 (9e5)1.1e8 (1e8)0/15
m2DLBFGS largescale Varelas 1.1e4 (3462)1.7e4 (4266)2.3e4 (5434)2.7e4 (7285)4.1e4 (2e4)★24.1e5 (8e5)8e60/15
sepCMA largescale Varelas 8e60/15

Δ fopt
f12, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2.9e4 (2e4)8.1e4 (4e4)2.1e5 (2e5)3.3e5 (9e4)4.2e5 (1e5)6.6e5 (1e5)8.8e5 (3e5)15/15
LBFGS largescale Varelas 4446 (2978)1.3e4 (7929)1.9e4 (1e4)4.9e4 (5e4)7.2e4 (4e4)1.2e6 (3e6)8e60/15
LMCMA14 largescale Varelas 2.2e4 (1e4)7.7e4 (2e4)1.8e6 (2e6)8.1e6 (4e6)1.2e8 (1e8)8e60/15
LMCMA17 largescale Varelas 2.5e4 (2e4)7.7e4 (7e4)1.9e5 (1e5)3.2e5 (2e5)4.4e5 (2e5)6.9e5 (3e5)1.4e6 (8e5)14/15
R10ES largescale Varelas 2.4e4 (2e4)1.1e5 (1e5)2.9e5 (3e5)4.8e5 (3e5)5.8e5 (2e5)7.6e5 (3e5)3.8e6 (4e6)3/15
R2ES largescale Varelas 2.1e4 (2e4)1.1e6 (2e6)9.9e6 (2e7)3.2e7 (4e7)8e60/15
V2D-CMA largescale Varelas 2.4e4 (9498)6.4e4 (7e4)1.3e5 (5e4)1.7e5 (8e4)7.9e5 (8e4)2.2e7 (6e7)8e60/15
VD-CMA largescale Varelas 3.1e4 (2e4)4.7e5 (1e6)1.0e7 (1e7)1.2e8 (1e8)8e60/15
VkD-CMA largescale Varelas 3.0e4 (2e4)7.1e4 (3e4)1.4e5 (9e4)2.0e5 (1e5)2.9e5 (2e5)4.2e5 (3e5)5.9e5 (3e5)15/15
m2DLBFGS largescale Varelas 3555 (1167)1.1e4 (5394)2.2e4 (3e4)3.8e4 (4e4)7.5e4 (9e4)1.0e6 (1e6)8e60/15
sepCMA largescale Varelas 2.5e6 (4e6)8e60/15

Δ fopt
f13, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 9761 (366)6.0e4 (5e4)6.2e6 (6e6)8e60/15
LBFGS largescale Varelas 3920 (201)4.1e4 (5e4)2.5e6 (3e6)5.7e7 (6e7)8e60/15
LMCMA14 largescale Varelas 7388 (438)7.3e6 (1e7)3.5e7 (3e7)8e60/15
LMCMA17 largescale Varelas 6418 (268)1.8e5 (2e5)9.7e6 (8e6)1.1e8 (7e7)8e60/15
R10ES largescale Varelas 7512 (759)1.1e8 (1e8)8e60/15
R2ES largescale Varelas 6910 (494)3.2e7 (3e7)8e60/15
V2D-CMA largescale Varelas 7253 (538)2.4e5 (3e5)7.8e6 (9e6)8e60/15
VD-CMA largescale Varelas 9448 (429)1.1e5 (1e5)4.0e6 (4e6)8e60/15
VkD-CMA largescale Varelas 7454 (759)1.9e5 (4e5)8.8e6 (2e7)8e60/15
m2DLBFGS largescale Varelas 3952 (362)4.0e4 (9e4)1.9e5 (3e5)★23.3e5 (4e5)★24.6e6 (5e6)★48e60/15
sepCMA largescale Varelas 8788 (367)8.7e4 (5e4)6.5e6 (1e7)8e60/15

Δ fopt
f14, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2407 (292)5163 (300)7698 (347)1.3e4 (361)3.0e4 (1108)1.6e5 (8650)4.7e5 (1e4)★415/15
LBFGS largescale Varelas 914 (161)1913 (242)2793 (402)4231 (483)7730 (483)7.9e4 (7688)8e60/15
LMCMA14 largescale Varelas 1418 (198)3507 (178)5133 (174)7982 (206)1.5e4 (864)1.4e5 (7712)3.2e6 (3e5)0/15
LMCMA17 largescale Varelas 1302 (123)3100 (252)4439 (208)6595 (380)1.3e4 (756)1.1e5 (4979)1.6e6 (9e4)14/15
R10ES largescale Varelas 1280 (102)3440 (279)5069 (306)8172 (499)1.7e4 (768)1.5e5 (9526)3.5e6 (3e5)0/15
R2ES largescale Varelas 1338 (133)3267 (152)4819 (158)7442 (383)1.6e4 (724)1.6e5 (1e4)2.5e6 (2e5)0/15
V2D-CMA largescale Varelas 1357 (165)3491 (351)5131 (270)8160 (324)1.8e4 (1218)3.5e5 (1e5)8e60/15
VD-CMA largescale Varelas 2238 (348)4940 (435)7537 (524)1.3e4 (537)2.6e4 (1022)3.6e5 (2e5)8e60/15
VkD-CMA largescale Varelas 1457 (150)3607 (348)5261 (436)8789 (700)1.9e4 (1930)2.0e5 (4e4)3.6e6 (4e6)0/15
m2DLBFGS largescale Varelas 957 (121)2063 (443)2771 (443)4274 (443)8063 (644)3.5e4 (1046)★48e60/15
sepCMA largescale Varelas 2264 (170)4854 (353)7247 (311)1.2e4 (540)2.4e4 (2384)1.5e6 (5e5)8e60/15

Δ fopt
f15, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 8e60/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 8e60/15
V2D-CMA largescale Varelas 8e60/15
VD-CMA largescale Varelas 8e60/15
VkD-CMA largescale Varelas 8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 8e60/15

Δ fopt
f16, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4.6e4 (4e4)8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 1.1e8 (1e8)8e60/15
LMCMA17 largescale Varelas 9.7e4 (1e5)8e60/15
R10ES largescale Varelas 5.2e7 (8e7)8e60/15
R2ES largescale Varelas 2.2e7 (4e7)8e60/15
V2D-CMA largescale Varelas 1.0e6 (1e6)8e60/15
VD-CMA largescale Varelas 1.8e4 (6625)8e60/15
VkD-CMA largescale Varelas 1.9e6 (2e6)8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 2.9e5 (7e5)8e60/15

Δ fopt
f17, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3126 (501)8.2e4 (1e5)8e60/15
LBFGS largescale Varelas 1.1e8 (1e8)8e60/15
LMCMA14 largescale Varelas 1.2e6 (4e6)8e60/15
LMCMA17 largescale Varelas 1509 (192)8e60/15
R10ES largescale Varelas 3759 (2573)8e60/15
R2ES largescale Varelas 1.2e6 (2e6)8e60/15
V2D-CMA largescale Varelas 1922 (499)8e60/15
VD-CMA largescale Varelas 2810 (353)1.5e5 (2e5)8e60/15
VkD-CMA largescale Varelas 2524 (535)8e60/15
m2DLBFGS largescale Varelas 2.0e7 (3e7)8e60/15
sepCMA largescale Varelas 3055 (464)6.4e5 (9e5)8e60/15

Δ fopt
f18, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 9040 (1574)1.2e8 (1e8)8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 8e60/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 8e60/15
V2D-CMA largescale Varelas 8e60/15
VD-CMA largescale Varelas 9293 (1751)1.1e8 (8e7)8e60/15
VkD-CMA largescale Varelas 8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 9359 (2700)8e60/15

Δ fopt
f19, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4096 (1666)8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 1426 (321)8e60/15
LMCMA17 largescale Varelas 1251 (261)8e60/15
R10ES largescale Varelas 1359 (190)8e60/15
R2ES largescale Varelas 1330 (212)8e60/15
V2D-CMA largescale Varelas 4989 (3006)8e60/15
VD-CMA largescale Varelas 3558 (1591)8e60/15
VkD-CMA largescale Varelas 3987 (3067)8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 4198 (2513)8e60/15

Δ fopt
f20, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4211 (235)8e60/15
LBFGS largescale Varelas 1226 (80)8e60/15
LMCMA14 largescale Varelas 2070 (90)8e60/15
LMCMA17 largescale Varelas 2085 (220)8e60/15
R10ES largescale Varelas 2007 (184)8e60/15
R2ES largescale Varelas 1850 (109)8e60/15
V2D-CMA largescale Varelas 1876 (120)8e60/15
VD-CMA largescale Varelas 3793 (311)8e60/15
VkD-CMA largescale Varelas 1988 (189)8e60/15
m2DLBFGS largescale Varelas 1226 (80)8e60/15
sepCMA largescale Varelas 3858 (212)8e60/15

Δ fopt
f21, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.2e4 (1e4)1.2e6 (2e6)3.5e6 (7e6)3.5e6 (6e6)3.5e6 (4e6)3.5e6 (7e6)3.5e6 (4e6)12/15
LBFGS largescale Varelas 3877 (5435)1.1e6 (3e6)2.2e6 (4e6)2.2e6 (5e6)2.2e6 (5e6)2.2e6 (4e6)1.2e8 (1e8)0/15
LMCMA14 largescale Varelas 2.0e6 (6e6)2.2e7 (4e7)3.2e7 (5e7)3.2e7 (3e7)3.2e7 (7e7)3.2e7 (6e7)3.2e7 (4e7)3/15
LMCMA17 largescale Varelas 5.3e6 (1e7)8e60/15
R10ES largescale Varelas 1.2e6 (2e6)5.2e7 (6e7)1.1e8 (3e8)1.1e8 (2e8)1.1e8 (7e7)1.1e8 (2e8)1.1e8 (8e7)1/15
R2ES largescale Varelas 1.2e6 (2e6)1.1e8 (2e8)8e60/15
V2D-CMA largescale Varelas 1.3e4 (1e4)4.4e5 (3e5)1.7e6 (4e6)1.7e6 (3e6)1.7e6 (3e6)1.7e6 (4e6)1.7e6 (3e6)14/15
VD-CMA largescale Varelas 8017 (738)1.6e6 (6e6)3.9e6 (4e6)3.9e6 (1e7)4.0e6 (8e6)4.0e6 (4e6)4.0e6 (6e6)11/15
VkD-CMA largescale Varelas 1.3e4 (6073)1.0e6 (3e5)3.9e6 (3e6)3.9e6 (8e6)3.9e6 (8e6)3.9e6 (2e7)3.9e6 (4e6)11/15
m2DLBFGS largescale Varelas 4038 (7367)4.9e5 (1e6)9.8e5 (3e6)9.8e5 (3e6)9.9e5 (4e5)9.9e5 (3e6)8e60/15
sepCMA largescale Varelas 8201 (625)7.6e5 (1e6)3.0e6 (6e6)3.0e6 (6e6)3.0e6 (4e6)3.0e6 (4e6)3.0e6 (4e6)13/15

Δ fopt
f22, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8.3e4 (2e5)7.7e6 (1e7)8e60/15
LBFGS largescale Varelas 2.1e4 (6e4)5.9e6 (8e6)8e60/15
LMCMA14 largescale Varelas 5.3e6 (2e7)2.2e7 (3e7)8e60/15
LMCMA17 largescale Varelas 4.0e6 (4e6)5.2e7 (3e7)8e60/15
R10ES largescale Varelas 2.0e6 (4e6)1.1e8 (2e8)8e60/15
R2ES largescale Varelas 5.3e6 (8e6)3.2e7 (3e7)8e60/15
V2D-CMA largescale Varelas 1.5e5 (2e4)6.7e6 (5e6)8e60/15
VD-CMA largescale Varelas 6.0e4 (2e4)7.6e6 (2e7)8e60/15
VkD-CMA largescale Varelas 2.1e4 (6e4)7.0e6 (1e7)8e60/15
m2DLBFGS largescale Varelas 3.2e4 (4227)5.7e6 (1e7)8e60/15
sepCMA largescale Varelas 3.6e4 (2e4)5.4e6 (8e6)8e60/15

Δ fopt
f23, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 57 (0)1.0e5 (2e4)7.2e5 (7e5)8e60/15
LBFGS largescale Varelas 1 (0)8e60/15
LMCMA14 largescale Varelas 1 (0)5172 (160)8e60/15
LMCMA17 largescale Varelas 1 (0)1622 (262)8e60/15
R10ES largescale Varelas 1 (0)2.0e6 (451)8e60/15
R2ES largescale Varelas 1 (0)2.9e6 (8e6)8e60/15
V2D-CMA largescale Varelas 1 (0)8922 (5724)8e60/15
VD-CMA largescale Varelas 22 (78)1.1e5 (5e4)2.7e6 (3e6)8e60/15
VkD-CMA largescale Varelas 6.3 (15)7862 (4657)8e60/15
m2DLBFGS largescale Varelas 1 (0)8e60/15
sepCMA largescale Varelas 1 (0)1.0e5 (6e4)4.0e6 (4e6)8e60/15

Δ fopt
f24, 160-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 8e60/15
LBFGS largescale Varelas 8e60/15
LMCMA14 largescale Varelas 8e60/15
LMCMA17 largescale Varelas 8e60/15
R10ES largescale Varelas 8e60/15
R2ES largescale Varelas 8e60/15
V2D-CMA largescale Varelas 8e60/15
VD-CMA largescale Varelas 8e60/15
VkD-CMA largescale Varelas 8e60/15
m2DLBFGS largescale Varelas 8e60/15
sepCMA largescale Varelas 8e60/15

Previous dimension | Dimension = 320 | Next dimension

Δ fopt
f1, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 5254 (162)8399 (190)1.1e4 (205)1.5e4 (323)1.8e4 (324)2.4e4 (426)3.0e4 (288)15/15
LBFGS largescale Varelas 1286 (0)1286 (0)1286 (0)1286 (0)1286 (0)1286 (0)1372 (160)15/15
LMCMA14 largescale Varelas 3690 (229)5859 (216)8055 (196)1.0e4 (248)1.2e4 (304)1.7e4 (188)2.1e4 (226)15/15
LMCMA17 largescale Varelas 3261 (108)5157 (186)7043 (242)8938 (250)1.1e4 (206)1.5e4 (239)1.8e4 (272)15/15
R10ES largescale Varelas 3410 (106)5433 (189)7698 (201)9768 (230)1.2e4 (149)1.6e4 (118)2.0e4 (223)15/15
R2ES largescale Varelas 3386 (185)5350 (96)7340 (198)9244 (208)1.1e4 (280)1.5e4 (169)2.0e4 (385)15/15
V2D-CMA largescale Varelas 3263 (289)5303 (267)7265 (357)9289 (400)1.1e4 (316)1.5e4 (419)1.9e4 (263)15/15
VD-CMA largescale Varelas 5207 (172)8250 (217)1.1e4 (292)1.4e4 (266)1.7e4 (340)2.3e4 (434)2.9e4 (374)15/15
VkD-CMA largescale Varelas 3212 (162)5179 (231)7201 (436)9236 (363)1.1e4 (394)1.6e4 (358)2.0e4 (493)15/15
m2DLBFGS largescale Varelas 1286 (0)1286 (0)1286 (0)1286 (0)1286 (0)1286 (0)1414 (160)15/15
sepCMA largescale Varelas 3130 (118)4998 (213)6931 (210)8796 (314)1.1e4 (300)1.5e4 (311)1.9e4 (455)15/15

Δ fopt
f2, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.1e6 (6e4)1.4e6 (6e4)1.6e6 (8e4)1.8e6 (5e4)1.9e6 (7e4)2.2e6 (5e4)2.5e6 (6e4)15/15
LBFGS largescale Varelas 5.2e5 (3e4)8.2e5 (5e4)1.2e6 (2e5)1.6e6 (2e5)1.9e6 (3e5)2.6e6 (4e5)3.4e6 (6e5)15/15
LMCMA14 largescale Varelas 9.9e5 (1e5)1.6e6 (1e5)2.4e6 (2e5)3.0e6 (4e5)3.8e6 (3e5)5.5e6 (8e5)7.4e6 (7e5)15/15
LMCMA17 largescale Varelas 7.3e5 (9e4)1.1e6 (2e5)1.4e6 (1e5)1.8e6 (3e5)2.1e6 (2e5)2.8e6 (3e5)3.6e6 (3e5)15/15
R10ES largescale Varelas 1.0e6 (9e4)1.6e6 (1e5)2.2e6 (2e5)2.7e6 (2e5)3.3e6 (2e5)4.4e6 (4e5)5.5e6 (5e5)15/15
R2ES largescale Varelas 1.1e6 (4e4)1.5e6 (9e4)2.0e6 (1e5)2.5e6 (2e5)2.9e6 (2e5)3.8e6 (1e5)4.9e6 (3e5)15/15
V2D-CMA largescale Varelas 1.6e5 (7448)1.8e5 (1e4)2.1e5 (1e4)2.2e5 (1e4)2.3e5 (1e4)2.5e5 (2e4)2.6e5 (2e4)15/15
VD-CMA largescale Varelas 1.4e5 (6494)1.5e5 (7363)1.6e5 (1e4)1.7e5 (1e4)1.8e5 (9050)1.9e5 (8252)1.9e5 (1e4)15/15
VkD-CMA largescale Varelas 1.6e5 (6e4)2.4e5 (8e4)3.0e5 (9e4)3.4e5 (9e4)4.0e5 (1e5)4.8e5 (1e5)5.5e5 (2e5)15/15
m2DLBFGS largescale Varelas 2.7e5 (1e4)3.8e5 (2e4)4.8e5 (9710)5.7e5 (1e4)6.4e5 (2e4)7.8e5 (2e4)9.0e5 (3e4)15/15
sepCMA largescale Varelas 1.3e5 (8231)1.5e5 (7865)1.6e5 (7257)1.6e5 (8968)1.7e5 (8788)1.7e5 (7954)1.8e5 (8798)★215/15

Δ fopt
f3, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f4, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f5, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3076 (223)4008 (357)4632 (313)4775 (443)4775 (360)4775 (395)4775 (472)15/15
LBFGS largescale Varelas 1693 (321)1907 (321)1971 (321)2099 (482)2099 (482)2099 (401)2099 (401)15/15
LMCMA14 largescale Varelas 2382 (264)2812 (411)2913 (528)2929 (626)2934 (460)2934 (622)2934 (622)15/15
LMCMA17 largescale Varelas 1897 (186)2176 (370)2251 (364)2276 (328)2279 (210)2279 (340)2279 (402)15/15
R10ES largescale Varelas 2127 (193)2458 (301)2543 (268)2562 (293)2567 (310)2567 (310)2567 (242)15/15
R2ES largescale Varelas 2109 (249)2433 (285)2529 (266)2552 (260)2553 (225)2553 (233)2553 (219)15/15
V2D-CMA largescale Varelas 2244 (333)2637 (471)2728 (412)2757 (234)2765 (366)2765 (403)2765 (382)15/15
VD-CMA largescale Varelas 2549 (339)2921 (276)3032 (222)3046 (309)3049 (384)3049 (308)3049 (320)15/15
VkD-CMA largescale Varelas 2213 (184)2724 (325)2877 (302)2931 (288)2933 (312)2933 (290)2933 (256)15/15
m2DLBFGS largescale Varelas 1714 (321)2014 (321)2056 (321)2078 (482)2099 (401)2099 (401)2099 (482)15/15
sepCMA largescale Varelas 2204 (222)2613 (192)2756 (290)2821 (228)2821 (203)2822 (283)2822 (254)15/15

Δ fopt
f6, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 9.9e4 (7982)★41.5e5 (8297)★42.0e5 (9298)★42.4e5 (6994)★43.0e5 (1e4)★44.0e5 (1e4)★45.1e5 (1e4)★415/15
LBFGS largescale Varelas 1.8e5 (5e4)3.1e5 (7e4)4.4e5 (6e4)5.7e5 (8e4)7.1e5 (1e5)9.8e5 (1e5)1.3e6 (1e5)15/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2.8e5 (3e4)4.8e5 (6e4)6.7e5 (8e4)8.5e5 (1e5)1.1e6 (1e5)1.5e6 (2e5)1.9e6 (2e5)15/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 3.0e5 (1e4)4.7e5 (2e4)6.3e5 (2e4)7.9e5 (2e4)9.6e5 (2e4)1.3e6 (3e4)1.6e6 (4e4)15/15
V2D-CMA largescale Varelas 2.2e5 (2e4)4.0e5 (5e4)6.7e5 (9e4)1.0e6 (3e5)1.4e6 (3e5)2.8e6 (8e5)6.4e6 (6e6)13/15
VD-CMA largescale Varelas 1.4e5 (1e4)2.0e5 (2e4)2.7e5 (2e4)3.4e5 (2e4)4.1e5 (3e4)5.7e5 (6e4)7.3e5 (7e4)15/15
VkD-CMA largescale Varelas 2.3e8 (3e8)2e70/15
m2DLBFGS largescale Varelas 2.0e5 (3e4)3.3e5 (3e4)4.7e5 (4e4)6.1e5 (4e4)7.6e5 (5e4)1.0e6 (4e4)1.3e6 (5e4)15/15
sepCMA largescale Varelas 1.5e6 (4e6)2e70/15

Δ fopt
f7, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f8, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2.9e6 (6e5)4.0e6 (1e6)4.8e6 (2e6)4.8e6 (2e6)4.8e6 (6e5)4.8e6 (3e6)4.8e6 (1e6)15/15
LBFGS largescale Varelas 3.3e5 (1e5)4.2e5 (1e5)4.7e5 (3e5)4.7e5 (2e5)4.7e5 (3e5)4.7e5 (2e5)4.7e5 (3e5)15/15
LMCMA14 largescale Varelas 9.8e5 (5e5)1.3e6 (6e5)3.7e6 (5e5)3.7e6 (8e6)3.7e6 (7e5)3.7e6 (8e6)3.7e6 (8e6)13/15
LMCMA17 largescale Varelas 1.6e6 (7e5)2.1e6 (9e5)6.1e6 (5e6)6.1e6 (5e6)6.1e6 (8e6)6.2e6 (5e6)6.2e6 (8e6)12/15
R10ES largescale Varelas 2.5e6 (1e6)3.3e6 (2e6)3.4e6 (2e6)3.5e6 (2e6)3.5e6 (2e6)3.5e6 (2e6)3.5e6 (2e6)15/15
R2ES largescale Varelas 1.1e6 (4e5)1.5e6 (6e5)7.3e6 (1e7)7.3e6 (2e7)7.4e6 (1e7)7.4e6 (1e7)7.4e6 (8e6)11/15
V2D-CMA largescale Varelas 7.5e5 (2e5)9.1e5 (4e5)1.1e6 (1e6)1.1e6 (4e5)1.2e6 (1e6)1.2e6 (1e6)1.2e6 (1e6)15/15
VD-CMA largescale Varelas 1.6e6 (2e5)2.0e6 (6e4)2.6e6 (1e6)2.6e6 (1e6)2.6e6 (1e6)2.7e6 (1e6)2.7e6 (1e6)15/15
VkD-CMA largescale Varelas 6.9e5 (2e5)7.9e5 (4e5)1.2e6 (8e5)1.2e6 (6e5)1.2e6 (7e5)1.2e6 (6e5)1.2e6 (8e5)15/15
m2DLBFGS largescale Varelas 2.5e5 (1e5)3.0e5 (1e5)3.3e5 (1e5)3.3e5 (2e5)3.3e5 (2e5)3.3e5 (2e5)3.3e5 (2e5)15/15
sepCMA largescale Varelas 1.4e6 (2e5)1.5e6 (1e5)2.6e6 (2e6)2.6e6 (2e6)2.6e6 (2e6)2.7e6 (2e6)2.7e6 (1e6)15/15

Δ fopt
f9, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 3.0e6 (5e5)4.0e6 (1e6)5.3e6 (2e6)5.3e6 (2e6)5.4e6 (2e6)5.4e6 (3e6)5.4e6 (2e6)15/15
LBFGS largescale Varelas 2.6e5 (1e5)3.2e5 (1e5)3.9e5 (2e5)3.9e5 (2e5)3.9e5 (2e5)3.9e5 (2e5)3.9e5 (2e5)15/15
LMCMA14 largescale Varelas 1.1e6 (5e5)1.4e6 (6e5)5.4e6 (1e7)5.5e6 (2e7)5.5e6 (2e7)5.5e6 (9e6)5.5e6 (4e6)12/15
LMCMA17 largescale Varelas 2.0e6 (6e5)2.5e6 (9e5)1.1e7 (5e6)1.1e7 (2e7)1.1e7 (9e6)1.1e7 (1e7)1.1e7 (2e7)10/15
R10ES largescale Varelas 2.6e6 (1e6)3.3e6 (2e6)7.4e6 (1e7)7.4e6 (8e6)7.4e6 (9e6)7.5e6 (5e6)7.5e6 (1e7)12/15
R2ES largescale Varelas 1.2e6 (4e5)1.6e6 (6e5)1.5e7 (2e7)1.5e7 (2e7)1.5e7 (3e7)1.5e7 (2e7)1.5e7 (8e6)8/15
V2D-CMA largescale Varelas 1.1e6 (4e5)1.3e6 (6e5)1.5e6 (5e5)1.5e6 (5e5)1.5e6 (8e5)1.5e6 (7e5)1.5e6 (8e5)15/15
VD-CMA largescale Varelas 2.0e6 (6e5)2.8e6 (7e5)3.1e6 (3e5)3.1e6 (1e6)3.1e6 (1e6)3.1e6 (1e6)3.1e6 (1e6)15/15
VkD-CMA largescale Varelas 1.1e6 (4e5)1.5e6 (7e5)1.5e6 (5e5)1.5e6 (7e5)1.5e6 (7e5)1.5e6 (7e5)1.5e6 (7e5)15/15
m2DLBFGS largescale Varelas 2.5e5 (1e5)3.1e5 (1e5)4.8e5 (5e5)4.9e5 (4e5)4.9e5 (4e5)4.9e5 (5e5)4.9e5 (5e5)15/15
sepCMA largescale Varelas 5.9e6 (2e6)6.7e6 (2e6)1.2e7 (1e7)1.3e7 (1e7)1.3e7 (9e6)1.3e7 (2e7)1.4e7 (2e7)11/15

Δ fopt
f10, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.1e6 (7e4)1.4e6 (6e4)1.6e6 (5e4)1.8e6 (6e4)1.9e6 (4e4)2.2e6 (5e4)2.5e6 (4e4)★415/15
LBFGS largescale Varelas 5.3e5 (6e4)8.3e5 (8e4)1.1e6 (1e5)1.5e6 (2e5)1.8e6 (2e5)2.7e6 (4e5)1.1e8 (6e7)0/15
LMCMA14 largescale Varelas 9.7e5 (1e5)1.6e6 (2e5)2.3e6 (3e5)3.0e6 (4e5)3.7e6 (4e5)5.5e6 (7e5)7.4e6 (1e6)15/15
LMCMA17 largescale Varelas 7.3e5 (5e4)1.1e6 (6e4)1.5e6 (2e5)1.8e6 (1e5)2.2e6 (2e5)2.9e6 (3e5)3.7e6 (3e5)15/15
R10ES largescale Varelas 1.1e6 (9e4)1.6e6 (2e5)2.1e6 (2e5)2.7e6 (3e5)3.2e6 (3e5)4.4e6 (5e5)5.5e6 (4e5)15/15
R2ES largescale Varelas 1.1e6 (8e4)1.6e6 (9e4)2.1e6 (1e5)2.5e6 (1e5)3.1e6 (1e5)4.1e6 (3e5)5.1e6 (3e5)15/15
V2D-CMA largescale Varelas 5.2e6 (4e6)1.4e7 (1e7)5.6e7 (5e7)2.4e8 (2e8)2e70/15
VD-CMA largescale Varelas 2.0e7 (1e7)4.4e7 (3e7)1.2e8 (2e8)2e70/15
VkD-CMA largescale Varelas 2.3e6 (5e5)4.0e6 (8e5)5.9e6 (2e6)7.7e6 (2e6)9.4e6 (2e6)1.2e7 (2e6)2.2e7 (1e7)0/15
m2DLBFGS largescale Varelas 2.8e5 (1e4)★43.9e5 (8828)★44.9e5 (1e4)★45.8e5 (1e4)★46.5e5 (2e4)★48.7e5 (2e5)★42e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f11, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.2e6 (4e4)1.3e6 (2e4)1.4e6 (2e4)1.4e6 (2e4)1.5e6 (1e4)1.5e6 (8896)1.6e6 (1e4)15/15
LBFGS largescale Varelas 2.5e4 (4414)3.9e4 (3290)7.0e4 (2e4)1.6e5 (1e5)3.9e5 (2e5)6.5e6 (6e6)2e70/15
LMCMA14 largescale Varelas 5.0e5 (4e4)8.9e5 (1e5)1.3e6 (1e5)1.6e6 (1e5)2.0e6 (2e5)2.8e6 (2e5)3.5e6 (2e5)15/15
LMCMA17 largescale Varelas 2.3e5 (2e4)6.1e5 (6e4)9.5e5 (6e4)1.3e6 (6e4)1.7e6 (6e4)2.4e6 (1e5)3.2e6 (1e5)15/15
R10ES largescale Varelas 2.6e5 (8e4)5.8e5 (6e4)8.8e5 (1e5)1.3e6 (2e5)1.6e6 (2e5)2.3e6 (3e5)5.5e6 (8e6)3/15
R2ES largescale Varelas 2.5e5 (3e4)4.0e5 (2e4)5.3e5 (3e4)6.7e5 (4e4)8.1e5 (6e4)1.1e6 (5e4)2.5e6 (4e6)8/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2e70/15
VkD-CMA largescale Varelas 5.2e5 (4e5)9.4e5 (1e6)1.4e6 (1e6)1.9e6 (2e6)2.6e6 (8e5)4.0e6 (4e6)2e70/15
m2DLBFGS largescale Varelas 2.5e4 (3932)3.8e4 (6580)5.1e4 (4895)★26.9e4 (9229)★21.3e5 (4e4)★21.5e6 (1e6)2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f12, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.0e5 (2e4)2.8e5 (1e5)9.6e5 (2e5)1.3e6 (4e5)1.9e6 (6e5)2.6e6 (4e5)4.8e6 (4e6)10/15
LBFGS largescale Varelas 8669 (4414)2.9e4 (6902)4.3e4 (1e4)8.2e4 (3e4)1.3e5 (6e4)1.4e7 (1e7)2e70/15
LMCMA14 largescale Varelas 5.5e4 (3e4)6.2e5 (2e6)4.9e7 (4e7)2e70/15
LMCMA17 largescale Varelas 6.2e4 (5e4)2.1e5 (9e4)7.8e5 (4e5)1.3e6 (5e5)1.7e6 (5e5)2.4e6 (6e5)3.8e6 (8e5)12/15
R10ES largescale Varelas 4.6e4 (3e4)2.7e5 (2e5)8.4e5 (5e5)1.1e6 (4e5)1.5e6 (4e5)2.0e6 (6e5)2.1e7 (4e7)2/15
R2ES largescale Varelas 4.3e4 (2e4)1.3e6 (4e6)4.8e7 (8e7)2e70/15
V2D-CMA largescale Varelas 5.0e4 (2e4)1.2e5 (6e4)2.8e5 (8e4)3.5e5 (9e4)2.9e6 (8e6)2.2e8 (3e8)2e70/15
VD-CMA largescale Varelas 8.3e4 (5e4)3.6e6 (3e6)1.0e8 (1e8)2.2e8 (4e8)2e70/15
VkD-CMA largescale Varelas 6.9e4 (4e4)2.0e5 (1e5)3.6e5 (1e5)6.4e5 (3e5)9.1e5 (5e5)1.3e6 (7e5)1.6e6 (8e5)★215/15
m2DLBFGS largescale Varelas 7941 (3130)2.7e4 (6580)4.1e4 (2e4)8.8e4 (5e4)1.8e5 (2e5)2.0e7 (4e7)2e70/15
sepCMA largescale Varelas 4.6e7 (5e7)2e70/15

Δ fopt
f13, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.7e4 (432)6.6e4 (1e5)3.1e7 (3e7)2e70/15
LBFGS largescale Varelas 7235 (562)2.0e4 (1e4)9.7e6 (2e7)2e70/15
LMCMA14 largescale Varelas 1.3e4 (606)2.0e7 (3e7)2e70/15
LMCMA17 largescale Varelas 1.1e4 (427)2.6e6 (8e6)2e70/15
R10ES largescale Varelas 1.2e4 (582)4.4e7 (8e7)2e70/15
R2ES largescale Varelas 1.2e4 (618)1.8e7 (3e7)2e70/15
V2D-CMA largescale Varelas 1.2e4 (574)1.0e5 (1e5)2e70/15
VD-CMA largescale Varelas 1.7e4 (367)4.9e4 (4e4)3.2e7 (2e7)2e70/15
VkD-CMA largescale Varelas 1.2e4 (606)1.6e5 (2e5)1.1e8 (9e7)2e70/15
m2DLBFGS largescale Varelas 6914 (802)1.9e4 (2e4)2.2e5 (3e5)★24.2e5 (5e5)★46.8e7 (1e8)★42e70/15
sepCMA largescale Varelas 1.2e4 (527)1.8e5 (3e5)2e70/15

Δ fopt
f14, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 4373 (353)9950 (565)1.4e4 (571)2.3e4 (777)5.1e4 (1648)3.8e5 (9771)1.6e6 (4e4)★415/15
LBFGS largescale Varelas 1885 (241)4410 (642)6080 (722)8476 (802)1.5e4 (1043)1.5e5 (8266)2e70/15
LMCMA14 largescale Varelas 1889 (201)6027 (405)9081 (437)1.4e4 (598)2.5e4 (893)2.3e5 (1e4)6.0e6 (4e5)0/15
LMCMA17 largescale Varelas 1736 (200)5243 (328)7780 (396)1.1e4 (346)2.1e4 (502)1.6e5 (7991)2.4e6 (1e5)14/15
R10ES largescale Varelas 1765 (186)5806 (176)9023 (288)1.4e4 (272)2.7e4 (815)2.5e5 (1e4)6.0e6 (4e6)0/15
R2ES largescale Varelas 1927 (296)5756 (360)8454 (475)1.3e4 (568)2.5e4 (1120)2.5e5 (1e4)3.9e6 (2e5)0/15
V2D-CMA largescale Varelas 1872 (147)6010 (291)9025 (493)1.4e4 (590)3.0e4 (1508)5.8e5 (2e5)2e70/15
VD-CMA largescale Varelas 3908 (284)9216 (380)1.4e4 (485)2.2e4 (895)4.5e4 (1277)5.1e5 (1e5)2e70/15
VkD-CMA largescale Varelas 1994 (210)5924 (291)8833 (511)1.4e4 (509)2.9e4 (1488)2.7e5 (4e4)3.1e6 (5e5)0/15
m2DLBFGS largescale Varelas 1907 (401)4325 (401)5930 (883)8412 (722)1.5e4 (883)8.0e4 (2006)★42e70/15
sepCMA largescale Varelas 1970 (263)5729 (438)8421 (430)1.4e4 (410)3.2e4 (1485)2e70/15

Δ fopt
f15, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f16, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 6.0e5 (3e5)2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 1.1e8 (9e7)2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 4.0e5 (6e5)2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f17, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 9230 (1785)2.2e8 (3e8)2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 3.2e7 (2e7)2e70/15
LMCMA17 largescale Varelas 5.1e6 (2e7)2e70/15
R10ES largescale Varelas 1.4e7 (2e7)2e70/15
R2ES largescale Varelas 1.1e7 (1e7)2e70/15
V2D-CMA largescale Varelas 7699 (4613)2e70/15
VD-CMA largescale Varelas 8586 (1483)2e70/15
VkD-CMA largescale Varelas 2.3e4 (2e4)2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 6.0e5 (2e6)2e70/15

Δ fopt
f18, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2.7e4 (6066)2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2.7e4 (3196)2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Δ fopt
f19, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.0e5 (8e4)2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2623 (252)2e70/15
LMCMA17 largescale Varelas 2295 (179)2e70/15
R10ES largescale Varelas 2674 (736)2e70/15
R2ES largescale Varelas 2738 (628)2e70/15
V2D-CMA largescale Varelas 1.6e4 (1e4)2e70/15
VD-CMA largescale Varelas 1.2e5 (1e5)2e70/15
VkD-CMA largescale Varelas 1.4e4 (8506)2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 1.6e4 (8498)2e70/15

Δ fopt
f20, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 9586 (918)2e70/15
LBFGS largescale Varelas 2527 (160)2e70/15
LMCMA14 largescale Varelas 3903 (219)2e70/15
LMCMA17 largescale Varelas 3658 (231)2e70/15
R10ES largescale Varelas 3574 (271)2e70/15
R2ES largescale Varelas 3829 (258)2e70/15
V2D-CMA largescale Varelas 3814 (282)2e70/15
VD-CMA largescale Varelas 8717 (880)2e70/15
VkD-CMA largescale Varelas 3803 (208)2e70/15
m2DLBFGS largescale Varelas 2549 (80)2e70/15
sepCMA largescale Varelas 3711 (230)2e70/15

Δ fopt
f21, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1.4e4 (2e4)2.7e6 (6e6)8.3e6 (1e7)8.3e6 (8e6)8.3e6 (1e7)8.3e6 (1e7)8.3e6 (8e6)13/15
LBFGS largescale Varelas 3747 (1124)3.9e5 (9e5)2.7e6 (4e6)2.7e6 (6e6)2.7e6 (6e6)2.7e6 (6e6)2e70/15
LMCMA14 largescale Varelas 4.0e6 (8e6)2.2e8 (2e8)2e70/15
LMCMA17 largescale Varelas 4.0e6 (2e7)2e70/15
R10ES largescale Varelas 5.8e6 (2e7)2e70/15
R2ES largescale Varelas 8.0e6 (8e6)2e70/15
V2D-CMA largescale Varelas 5239 (1533)2.7e6 (5e6)5.7e6 (5e6)5.7e6 (1e7)5.7e6 (6e6)5.7e6 (8e6)5.7e6 (9e6)14/15
VD-CMA largescale Varelas 5.3e4 (6e4)2.7e6 (2e6)6.9e6 (1e7)6.9e6 (2e7)6.9e6 (9e6)7.0e6 (1e7)7.0e6 (7e6)12/15
VkD-CMA largescale Varelas 1.0e4 (2e4)6.6e5 (7e5)5.8e6 (2e7)5.8e6 (1e7)5.8e6 (6e6)5.8e6 (1e7)5.8e6 (8e6)13/15
m2DLBFGS largescale Varelas 7065 (8588)9.8e5 (3e6)3.0e6 (4e6)3.0e6 (6e6)3.0e6 (6e6)3.0e6 (3e6)2e70/15
sepCMA largescale Varelas 1.2e4 (2e4)2.0e6 (3e6)8.9e6 (1e7)8.9e6 (2e7)8.9e6 (2e7)8.9e6 (2e7)8.9e6 (9e6)11/15

Δ fopt
f22, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 7.3e5 (2e6)1.8e7 (4e7)2e70/15
LBFGS largescale Varelas 1.7e5 (5e5)1.5e7 (3e7)2e70/15
LMCMA14 largescale Varelas 1.4e7 (3e7)4.4e7 (6e7)2e70/15
LMCMA17 largescale Varelas 1.1e7 (4e7)6.4e7 (1e8)2e70/15
R10ES largescale Varelas 1.4e7 (3e7)4.4e7 (4e7)2e70/15
R2ES largescale Varelas 1.4e7 (2e7)3.2e7 (4e7)2e70/15
V2D-CMA largescale Varelas 1.9e6 (4e6)1.5e7 (3e7)2e70/15
VD-CMA largescale Varelas 2.4e6 (4e6)1.8e7 (3e7)2e70/15
VkD-CMA largescale Varelas 5.6e5 (2e6)1.4e7 (2e7)2e70/15
m2DLBFGS largescale Varelas 1.7e5 (3e5)1.4e7 (2e7)2e70/15
sepCMA largescale Varelas 1.3e6 (5e6)1.4e7 (9e6)2e70/15

Δ fopt
f23, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 1 (0)1.5e5 (3e4)1.8e5 (3e4)2e70/15
LBFGS largescale Varelas 1 (0)2e70/15
LMCMA14 largescale Varelas 1 (0)2234 (297)2e70/15
LMCMA17 largescale Varelas 1 (0)1933 (249)2e70/15
R10ES largescale Varelas 1 (0)1875 (218)2e70/15
R2ES largescale Varelas 1 (0)1946 (262)2e70/15
V2D-CMA largescale Varelas 1 (0)6608 (5109)2e70/15
VD-CMA largescale Varelas 1 (0)1.3e5 (2e4)2.0e5 (2e4)2e70/15
VkD-CMA largescale Varelas 1 (0)7508 (3881)2e70/15
m2DLBFGS largescale Varelas 1 (0)2e70/15
sepCMA largescale Varelas 1 (0)6932 (2897)2e70/15

Δ fopt
f24, 320-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
CMA largescale Varelas 2e70/15
LBFGS largescale Varelas 2e70/15
LMCMA14 largescale Varelas 2e70/15
LMCMA17 largescale Varelas 2e70/15
R10ES largescale Varelas 2e70/15
R2ES largescale Varelas 2e70/15
V2D-CMA largescale Varelas 2e70/15
VD-CMA largescale Varelas 2e70/15
VkD-CMA largescale Varelas 2e70/15
m2DLBFGS largescale Varelas 2e70/15
sepCMA largescale Varelas 2e70/15

Previous dimension | Dimension = 640 | First dimension

Δ fopt
f1, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 2566 (0)2566 (0)2566 (0)2566 (0)2566 (0)2566 (0)3250 (160)15/15
LMCMA14 largescale Varelas 6897 (270)1.1e4 (316)1.5e4 (302)1.9e4 (367)2.3e4 (450)3.1e4 (396)3.9e4 (496)15/15
LMCMA17 largescale Varelas 6231 (215)9830 (142)1.3e4 (233)1.7e4 (379)2.1e4 (484)2.8e4 (549)3.5e4 (592)15/15
R10ES largescale Varelas 6376 (219)1.0e4 (252)1.4e4 (428)1.8e4 (456)2.1e4 (514)2.9e4 (534)3.7e4 (548)15/15
R2ES largescale Varelas 6221 (193)1.0e4 (220)1.4e4 (311)1.7e4 (335)2.1e4 (296)2.9e4 (290)3.6e4 (469)15/15
V2D-CMA largescale Varelas 6213 (320)1.0e4 (404)1.4e4 (478)1.8e4 (468)2.1e4 (510)2.9e4 (525)3.7e4 (585)15/15
VD-CMA largescale Varelas 1.1e4 (219)1.6e4 (396)2.2e4 (370)2.8e4 (394)3.4e4 (378)4.6e4 (637)5.7e4 (682)15/15
VkD-CMA largescale Varelas 6132 (289)9849 (473)1.4e4 (572)1.8e4 (731)2.1e4 (648)2.9e4 (277)3.7e4 (595)15/15
m2DLBFGS largescale Varelas 2566 (0)2566 (0)2566 (0)2566 (0)2566 (0)2566 (0)3207 (0)15/15
sepCMA largescale Varelas 6003 (214)9692 (270)1.3e4 (559)1.7e4 (505)2.1e4 (442)2.8e4 (556)3.6e4 (744)15/15

Δ fopt
f2, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 1.1e6 (6e4)1.7e6 (8e4)2.3e6 (1e5)3.0e6 (2e5)3.7e6 (1e5)5.2e6 (3e5)6.6e6 (7e5)15/15
LMCMA14 largescale Varelas 2.2e6 (2e5)4.0e6 (4e5)6.1e6 (5e5)8.0e6 (9e5)9.9e6 (9e5)1.4e7 (1e6)1.9e7 (2e6)15/15
LMCMA17 largescale Varelas 1.8e6 (1e5)2.8e6 (1e5)3.8e6 (2e5)4.8e6 (4e5)5.8e6 (4e5)7.6e6 (4e5)9.6e6 (5e5)15/15
R10ES largescale Varelas 2.0e6 (8e4)3.0e6 (1e5)4.0e6 (2e5)5.0e6 (2e5)6.1e6 (2e5)8.2e6 (5e5)1.0e7 (7e5)15/15
R2ES largescale Varelas 2.2e6 (1e5)3.1e6 (2e5)3.9e6 (1e5)4.9e6 (2e5)5.9e6 (2e5)7.8e6 (2e5)9.8e6 (2e5)15/15
V2D-CMA largescale Varelas 3.6e5 (2e4)4.2e5 (2e4)4.7e5 (2e4)5.1e5 (3e4)5.4e5 (2e4)5.8e5 (4e4)6.1e5 (4e4)15/15
VD-CMA largescale Varelas 3.2e5 (1e4)3.5e5 (9957)3.7e5 (2e4)3.9e5 (1e4)4.0e5 (1e4)4.1e5 (1e4)4.3e5 (1e4)15/15
VkD-CMA largescale Varelas 2.6e5 (1e5)3.4e5 (2e5)4.2e5 (1e5)5.0e5 (3e5)5.7e5 (4e5)6.9e5 (6e5)7.9e5 (7e5)15/15
m2DLBFGS largescale Varelas 6.2e5 (2e4)8.8e5 (3e4)1.1e6 (3e4)1.4e6 (2e4)1.6e6 (3e4)2.0e6 (3e4)2.3e6 (8e4)15/15
sepCMA largescale Varelas 3.8e5 (2e4)4.4e5 (2e4)4.8e5 (3e4)4.9e5 (2e4)5.1e5 (2e4)5.2e5 (3e4)5.3e5 (2e4)15/15

Δ fopt
f3, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f4, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f5, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3848 (0)4489 (0)4532 (160)4617 (320)4660 (320)4660 (320)4660 (160)15/15
LMCMA14 largescale Varelas 4960 (662)6085 (1067)6484 (1264)6563 (1422)6583 (1449)6587 (1453)6587 (1362)15/15
LMCMA17 largescale Varelas 3770 (322)4559 (577)4780 (598)4866 (710)4885 (480)4886 (610)4886 (774)15/15
R10ES largescale Varelas 4164 (505)5108 (735)5351 (651)5406 (663)5417 (761)5417 (645)5417 (734)15/15
R2ES largescale Varelas 4108 (276)4950 (518)5226 (508)5276 (374)5285 (634)5293 (443)5293 (362)15/15
V2D-CMA largescale Varelas 4478 (429)5495 (431)5735 (486)5795 (422)5801 (464)5806 (680)5806 (435)15/15
VD-CMA largescale Varelas 4819 (308)5726 (445)5948 (428)6043 (326)6060 (463)6073 (523)6073 (405)15/15
VkD-CMA largescale Varelas 4596 (280)5775 (469)6103 (476)6190 (482)6212 (376)6213 (421)6213 (426)15/15
m2DLBFGS largescale Varelas 3848 (0)4489 (0)4489 (0)4574 (160)4660 (320)4660 (320)4660 (320)15/15
sepCMA largescale Varelas 4707 (408)5936 (602)6265 (796)6365 (768)6392 (644)6392 (776)6392 (720)15/15

Δ fopt
f6, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3.9e5 (5e4)7.0e5 (1e5)1.0e6 (1e5)1.3e6 (2e5)1.6e6 (2e5)2.2e6 (2e5)3.3e6 (1e6)15/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3.7e5 (3e4)5.8e5 (4e4)7.9e5 (7e4)1.0e6 (8e4)1.2e6 (1e5)1.7e6 (6e4)2.1e6 (1e5)15/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 6.5e5 (3e4)1.0e6 (3e4)1.4e6 (2e4)1.7e6 (3e4)2.1e6 (4e4)2.9e6 (6e4)3.6e6 (7e4)12/15
V2D-CMA largescale Varelas 4.8e5 (3e4)8.7e5 (7e4)1.4e6 (2e5)2.1e6 (2e5)3.5e6 (6e5)2.6e7 (3e7)3e70/15
VD-CMA largescale Varelas 3.7e5 (2e4)5.5e5 (3e4)7.3e5 (5e4)9.3e5 (7e4)1.2e6 (9e4)1.6e6 (1e5)2.2e6 (2e5)15/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3.8e5 (4e4)6.3e5 (7e4)9.0e5 (5e4)1.2e6 (6e4)1.4e6 (8e4)1.9e6 (6e4)2.4e6 (9e4)15/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f7, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f8, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 8.1e5 (2e5)1.1e6 (9e5)1.4e6 (2e6)1.4e6 (1e6)1.4e6 (2e6)1.4e6 (2e6)1.4e6 (2e6)15/15
LMCMA14 largescale Varelas 2.2e6 (9e5)3.0e6 (2e6)2.5e7 (6e7)2.5e7 (2e7)2.5e7 (3e7)2.5e7 (2e7)2.5e7 (2e7)9/15
LMCMA17 largescale Varelas 5.9e6 (2e6)9.2e6 (6e6)1.4e7 (1e7)1.5e7 (1e7)1.5e7 (1e7)1.5e7 (6e6)1.5e7 (6e6)13/15
R10ES largescale Varelas 7.8e6 (5e6)1.1e7 (7e6)3.3e7 (4e7)3.3e7 (5e7)3.3e7 (3e7)3.3e7 (4e7)3.3e7 (5e7)9/15
R2ES largescale Varelas 2.9e6 (2e6)4.1e6 (2e6)4.2e6 (2e6)4.2e6 (3e6)4.2e6 (2e6)4.2e6 (2e6)4.3e6 (2e6)15/15
V2D-CMA largescale Varelas 1.7e6 (4e5)2.1e6 (6e5)3.4e6 (2e6)3.4e6 (3e6)3.4e6 (2e6)3.4e6 (3e6)3.5e6 (3e6)15/15
VD-CMA largescale Varelas 5.8e6 (2e6)7.7e6 (2e6)9.1e6 (6e6)9.2e6 (4e6)9.2e6 (2e6)9.2e6 (4e6)9.3e6 (4e6)15/15
VkD-CMA largescale Varelas 1.8e6 (6e5)2.3e6 (1e6)2.4e6 (1e6)2.4e6 (1e6)2.4e6 (1e6)2.5e6 (1e6)2.5e6 (1e6)15/15
m2DLBFGS largescale Varelas 8.1e5 (4e5)1.1e6 (5e5)1.5e6 (1e6)1.5e6 (1e6)1.5e6 (1e6)1.5e6 (1e6)1.5e6 (6e5)15/15
sepCMA largescale Varelas 5.6e6 (1e6)6.4e6 (8e5)8.7e6 (7e6)8.7e6 (7e6)8.8e6 (3e6)8.8e6 (5e6)8.8e6 (3e6)15/15

Δ fopt
f9, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 6.9e5 (4e5)9.2e5 (5e5)1.2e6 (1e6)1.2e6 (1e6)1.2e6 (8e5)1.3e6 (8e5)1.3e6 (1e6)15/15
LMCMA14 largescale Varelas 2.7e6 (2e6)3.9e6 (2e6)1.2e7 (3e7)1.2e7 (2e7)1.2e7 (2e7)1.2e7 (2e7)1.2e7 (2e7)12/15
LMCMA17 largescale Varelas 7.7e6 (3e6)1.1e7 (5e6)2.7e7 (2e7)2.7e7 (2e7)2.7e7 (2e7)2.7e7 (4e7)2.7e7 (3e7)10/15
R10ES largescale Varelas 5.9e6 (3e6)8.8e6 (3e6)3.7e7 (3e7)3.7e7 (2e7)3.7e7 (3e7)3.7e7 (5e7)3.7e7 (2e7)8/15
R2ES largescale Varelas 2.9e6 (2e6)4.2e6 (1e6)1.6e7 (3e7)1.6e7 (4e7)1.6e7 (2e7)1.6e7 (9e6)1.6e7 (2e7)11/15
V2D-CMA largescale Varelas 3.3e6 (1e6)4.4e6 (2e6)6.2e6 (4e6)6.3e6 (4e6)6.3e6 (3e6)6.3e6 (4e6)6.4e6 (3e6)15/15
VD-CMA largescale Varelas 6.8e6 (2e6)9.3e6 (2e6)1.3e7 (5e6)1.3e7 (8e6)1.3e7 (7e6)1.3e7 (6e6)1.3e7 (8e6)15/15
VkD-CMA largescale Varelas 2.6e6 (1e6)3.6e6 (2e6)5.6e6 (8e6)5.6e6 (6e6)5.6e6 (3e6)5.7e6 (3e6)5.7e6 (3e6)15/15
m2DLBFGS largescale Varelas 7.0e5 (2e5)9.5e5 (4e5)1.2e6 (5e5)1.2e6 (6e5)1.2e6 (5e5)1.2e6 (7e5)1.3e6 (9e5)15/15
sepCMA largescale Varelas 4.3e7 (5e7)1.1e8 (2e8)1.5e8 (1e8)1.5e8 (1e8)2.3e8 (2e8)2.3e8 (4e8)4.6e8 (3e8)1/15

Δ fopt
f10, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 1.1e6 (7e4)1.7e6 (9e4)2.3e6 (1e5)3.0e6 (1e5)3.6e6 (2e5)5.1e6 (3e5)2.1e8 (2e8)0/15
LMCMA14 largescale Varelas 2.3e6 (2e5)4.0e6 (4e5)6.0e6 (6e5)8.0e6 (7e5)9.9e6 (5e5)1.4e7 (1e6)1.9e7 (2e6)15/15
LMCMA17 largescale Varelas 1.8e6 (1e5)2.8e6 (1e5)3.8e6 (3e5)4.7e6 (3e5)5.7e6 (3e5)7.6e6 (3e5)9.6e6 (6e5)15/15
R10ES largescale Varelas 2.0e6 (1e5)3.0e6 (2e5)3.9e6 (2e5)5.0e6 (2e5)6.0e6 (2e5)8.2e6 (3e5)1.0e7 (8e5)15/15
R2ES largescale Varelas 2.2e6 (2e5)3.2e6 (2e5)4.1e6 (2e5)5.1e6 (3e5)6.0e6 (3e5)7.9e6 (4e5)9.8e6 (3e5)15/15
V2D-CMA largescale Varelas 1.0e7 (6e6)1.1e8 (6e7)3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 4.9e6 (2e6)9.3e6 (4e6)1.8e7 (7e6)2.8e7 (2e7)5.9e7 (1e8)2.4e8 (4e8)3e70/15
m2DLBFGS largescale Varelas 6.1e5 (3e4)★48.8e5 (2e4)★41.1e6 (3e4)★41.4e6 (3e4)★41.6e6 (3e4)★42.0e6 (7e4)★44.5e8 (5e8)0/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f11, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 5.4e4 (9455)9.6e4 (2e4)2.0e5 (1e5)3.6e5 (2e5)9.1e5 (6e5)1.4e7 (2e7)3e70/15
LMCMA14 largescale Varelas 1.0e6 (9e4)1.7e6 (1e5)2.4e6 (2e5)3.2e6 (2e5)3.8e6 (1e5)5.3e6 (2e5)6.7e6 (3e5)15/15
LMCMA17 largescale Varelas 7.7e5 (9e4)1.6e6 (5e4)2.4e6 (1e5)3.2e6 (1e5)4.0e6 (8e4)5.7e6 (2e5)7.3e6 (2e5)15/15
R10ES largescale Varelas 4.6e5 (2e5)9.1e5 (5e5)1.3e6 (5e5)1.6e6 (6e5)2.0e6 (1e6)2.7e6 (1e6)1.1e7 (2e7)2/15
R2ES largescale Varelas 3.4e5 (4e4)5.3e5 (2e4)6.9e5 (5e4)8.8e5 (8e4)1.1e6 (8e4)1.4e6 (1e5)6.7e6 (8e6)2/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 2.3e6 (2e6)3.9e6 (3e6)6.9e6 (6e6)1.0e7 (6e6)1.4e7 (2e7)4.7e7 (4e7)3e70/15
m2DLBFGS largescale Varelas 5.4e4 (1e4)8.0e4 (2e4)1.1e5 (2e4)★41.4e5 (2e4)★42.0e5 (1e5)★41.5e6 (1e6)3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f12, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 1.8e4 (8173)5.8e4 (1e4)9.5e4 (4e4)1.7e5 (5e4)2.5e5 (2e5)3e70/15
LMCMA14 largescale Varelas 1.1e5 (5e4)3.0e5 (1e5)3e70/15
LMCMA17 largescale Varelas 1.4e5 (1e5)6.2e5 (3e5)5.9e6 (6e6)1.3e7 (6e6)1.6e7 (6e6)2.3e7 (1e7)2.8e7 (2e7)9/15
R10ES largescale Varelas 1.3e5 (9e4)1.0e6 (1e6)2.6e6 (1e6)3.5e6 (1e6)4.0e6 (1e6)5.2e6 (1e6)7.0e7 (9e7)1/15
R2ES largescale Varelas 1.1e5 (5e4)3.7e5 (4e5)2.2e8 (3e8)3e70/15
V2D-CMA largescale Varelas 9.0e4 (2e4)2.3e5 (9e4)6.0e5 (1e5)8.2e5 (2e5)3.4e6 (8e6)4.5e8 (1e9)3e70/15
VD-CMA largescale Varelas 1.8e5 (6e4)3.7e7 (7e7)3e70/15
VkD-CMA largescale Varelas 1.5e5 (1e5)4.5e5 (6e5)9.5e5 (7e5)1.8e6 (8e5)2.6e6 (2e6)4.1e6 (4e6)5.1e6 (5e6)★213/15
m2DLBFGS largescale Varelas 1.9e4 (9134)5.8e4 (1e4)8.9e4 (2e4)1.8e5 (9e4)2.3e5 (1e5)3e70/15
sepCMA largescale Varelas 1.3e8 (1e8)3e70/15

Δ fopt
f13, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 1.3e4 (1442)2.6e4 (2884)7.7e7 (2e8)3e70/15
LMCMA14 largescale Varelas 2.3e4 (346)2.3e6 (8e6)3e70/15
LMCMA17 largescale Varelas 1.9e4 (614)3.4e4 (2196)3e70/15
R10ES largescale Varelas 2.0e4 (270)8.0e6 (3e7)3e70/15
R2ES largescale Varelas 2.0e4 (512)3.6e4 (2322)3e70/15
V2D-CMA largescale Varelas 2.1e4 (864)5.7e4 (7e4)4.5e8 (5e8)3e70/15
VD-CMA largescale Varelas 3.0e4 (299)4.7e4 (1106)1.4e8 (1e8)3e70/15
VkD-CMA largescale Varelas 2.1e4 (594)5.6e4 (4e4)3e70/15
m2DLBFGS largescale Varelas 1.3e4 (1442)2.8e4 (2884)7.0e5 (2e6)★41.5e6 (2e6)★41.5e8 (1e8)★43e70/15
sepCMA largescale Varelas 2.1e4 (552)7.0e4 (3e4)3e70/15

Δ fopt
f14, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3720 (641)9959 (2244)1.4e4 (1923)1.9e4 (2564)3.0e4 (2884)2.6e5 (2e4)3e70/15
LMCMA14 largescale Varelas 2786 (92)1.1e4 (318)1.7e4 (504)2.5e4 (654)4.3e4 (929)3.5e5 (2e4)1.2e7 (3e5)0/15
LMCMA17 largescale Varelas 2478 (264)9209 (310)1.4e4 (329)2.1e4 (573)3.6e4 (1126)2.5e5 (7780)3.6e6 (1e5)★414/15
R10ES largescale Varelas 2564 (243)9860 (317)1.6e4 (421)2.4e4 (675)4.3e4 (1215)3.7e5 (1e4)9.6e6 (8e6)0/15
R2ES largescale Varelas 2699 (182)1.0e4 (552)1.5e4 (554)2.2e4 (718)4.2e4 (1029)3.9e5 (2e4)8.6e6 (8e6)2/15
V2D-CMA largescale Varelas 2638 (247)1.0e4 (524)1.6e4 (554)2.4e4 (402)4.7e4 (1249)8.9e5 (2e5)3e70/15
VD-CMA largescale Varelas 7156 (346)1.8e4 (532)2.7e4 (1048)4.1e4 (967)7.8e4 (1542)7.7e5 (8e4)3e70/15
VkD-CMA largescale Varelas 2738 (558)1.0e4 (763)1.6e4 (802)2.5e4 (644)5.2e4 (3379)4.8e5 (2e5)8.9e6 (2e6)0/15
m2DLBFGS largescale Varelas 3592 (320)1.0e4 (1282)1.4e4 (1122)1.9e4 (1602)3.0e4 (1923)1.7e5 (4327)★43e70/15
sepCMA largescale Varelas 2733 (197)1.0e4 (548)1.5e4 (581)2.3e4 (546)5.2e4 (1444)3e70/15

Δ fopt
f15, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f16, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 2.1e8 (3e8)★43e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f17, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 4.7e8 (8e8)3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 2.1e8 (4e8)3e70/15
VD-CMA largescale Varelas 2.9e4 (4555)★43e70/15
VkD-CMA largescale Varelas 2.8e7 (5e7)3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 2.2e7 (2e7)3e70/15

Δ fopt
f18, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 2.1e6 (2e6)★43e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Δ fopt
f19, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas ★3★3★3★3★33e7★30/15
LMCMA14 largescale Varelas 1.3e4 (9077)3e70/15
LMCMA17 largescale Varelas 6428 (4158)★23e70/15
R10ES largescale Varelas 2.0e4 (8972)3e70/15
R2ES largescale Varelas 2.0e4 (1e4)3e70/15
V2D-CMA largescale Varelas 1.7e4 (8641)3e70/15
VD-CMA largescale Varelas 5.6e5 (1e5)3e70/15
VkD-CMA largescale Varelas 1.8e4 (7812)3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 1.7e4 (4250)3e70/15

Δ fopt
f20, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 5130 (0)3e70/15
LMCMA14 largescale Varelas 7614 (346)3e70/15
LMCMA17 largescale Varelas 6950 (430)3e70/15
R10ES largescale Varelas 7058 (277)3e70/15
R2ES largescale Varelas 7292 (277)3e70/15
V2D-CMA largescale Varelas 7367 (587)3e70/15
VD-CMA largescale Varelas 2.0e4 (1766)3e70/15
VkD-CMA largescale Varelas 7408 (529)3e70/15
m2DLBFGS largescale Varelas 5130 (0)3e70/15
sepCMA largescale Varelas 7251 (513)3e70/15

Δ fopt
f21, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 8720 (2e4)1.8e7 (4e7)4.4e7 (6e7)4.4e7 (1e8)4.4e7 (3e7)4.4e7 (4e7)3e70/15
LMCMA14 largescale Varelas 8.0e6 (2e7)4.5e8 (4e8)3e70/15
LMCMA17 largescale Varelas 1.2e7 (2e7)4.5e8 (7e8)3e70/15
R10ES largescale Varelas 2.3e6 (2314)4.5e8 (4e8)3e70/15
R2ES largescale Varelas 2.3e6 (8e6)4.5e8 (4e8)3e70/15
V2D-CMA largescale Varelas 4.8e4 (1e5)3.0e7 (5e7)1.4e8 (2e8)1.4e8 (2e8)1.4e8 (1e8)1.4e8 (2e8)1.4e8 (2e8)3/15
VD-CMA largescale Varelas 2.4e4 (3033)2.7e7 (2e7)2.2e8 (2e8)2.2e8 (5e8)2.2e8 (3e8)2.2e8 (3e8)2.2e8 (3e8)2/15
VkD-CMA largescale Varelas 4.0e4 (1e5)1.9e7 (4e7)6.4e7 (4e7)6.4e7 (1e8)6.4e7 (1e8)6.4e7 (6e7)6.4e7 (8e7)6/15
m2DLBFGS largescale Varelas 1.1e4 (2e4)1.3e7 (2e7)4.0e7 (3e7)4.0e7 (4e7)4.0e7 (7e7)7.9e7 (1e8)3e70/15
sepCMA largescale Varelas 4.9e4 (9e4)1.4e7 (3e7)7.5e7 (9e7)7.5e7 (5e7)7.5e7 (6e7)7.5e7 (8e7)7.5e7 (2e8)5/15

Δ fopt
f22, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 2.4e6 (8e6)3.7e7 (6e7)3e70/15
LMCMA14 largescale Varelas 1.6e7 (8e6)8.8e7 (2e8)3e70/15
LMCMA17 largescale Varelas 3.7e7 (6e7)8.8e7 (1e8)3e70/15
R10ES largescale Varelas 1.2e7 (2e7)6.4e7 (7e7)3e70/15
R2ES largescale Varelas 2.1e7 (3e7)6.4e7 (6e7)3e70/15
V2D-CMA largescale Varelas 3.9e6 (5e6)3.8e7 (9e7)3e70/15
VD-CMA largescale Varelas 2.6e6 (5e5)3.7e7 (1e8)3e70/15
VkD-CMA largescale Varelas 2.8e6 (9e6)3.7e7 (8e7)3e70/15
m2DLBFGS largescale Varelas 2.5e6 (9e6)3.7e7 (1e8)3e70/15
sepCMA largescale Varelas 2.9e6 (9e6)3.7e7 (3e7)3e70/15

Δ fopt
f23, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 1 (0)3e70/15
LMCMA14 largescale Varelas 1 (0)1488 (64)3e70/15
LMCMA17 largescale Varelas 1 (0)1522 (134)3e70/15
R10ES largescale Varelas 1 (0)1328 (88)3e70/15
R2ES largescale Varelas 1 (0)1437 (82)3e70/15
V2D-CMA largescale Varelas 1 (0)5060 (1940)3e70/15
VD-CMA largescale Varelas 1 (0)2.1e5 (4e4)2.9e5 (4e4)★43e70/15
VkD-CMA largescale Varelas 1 (0)4354 (1458)3e70/15
m2DLBFGS largescale Varelas 1 (0)6.0e7 (9e7)3e70/15
sepCMA largescale Varelas 1 (0)4760 (2078)3e70/15

Δ fopt
f24, 640-D
1e1
 
1e0
 
1e-1
 
1e-2
 
1e-3
 
1e-5
 
1e-7
 
#succ
 
LBFGS largescale Varelas 3e70/15
LMCMA14 largescale Varelas 3e70/15
LMCMA17 largescale Varelas 3e70/15
R10ES largescale Varelas 3e70/15
R2ES largescale Varelas 3e70/15
V2D-CMA largescale Varelas 3e70/15
VD-CMA largescale Varelas 3e70/15
VkD-CMA largescale Varelas 3e70/15
m2DLBFGS largescale Varelas 3e70/15
sepCMA largescale Varelas 3e70/15

Expected runtime (ERT) to reach given targets, measured in number of function evaluations, in different dimensions. For each function, the ERT  and, in braces as dispersion measure, the half difference between 10 and 90%-tile of (bootstrapped) runtimes is shown for the different target ∆f-values as shown in the top row. #succ is the number of trials that reached the last 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). Best results are printed in bold.
Data produced with COCO v2.3.3.7