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

Last dimension | Dimension = 2 | Next dimension

Δ fopt
f1, 2-D
1e1
2.0
1e0
6.0
1e-1
6.0
1e-2
6.0
1e-3
6.0
1e-5
6.0
1e-7
6.0
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.2 (4)3.1 (3)7.8 (4)11 (5)17 (3)27 (11)37 (8)15/15
lmm-CMA-ES auger noiseless 1.8 (0.8)2.0 (1)3.3 (0.4)4.0 (1)5.0 (1)6.2 (0.8)8.2 (0.8)15/15
IPOPsaACM loshchilov noiseless 2.8 (2)3.4 (2)6.6 (5)10 (4)12 (3)15 (2)19 (1)15/15
DTS5-CMA 2.2 (2)1.6 (0.9)2.5 (0.9)3.3 (0.8)4.0 (0.7)★25.5 (0.2)6.9 (0.5)★230/30
CMA-ES -061 1.7 (1)2.6 (0.8)6.2 (3)15 (8)18 (1)27 (8)37 (4)5/5

Δ fopt
f2, 2-D
1e1
16
1e0
19
1e-1
25
1e-2
25
1e-3
26
1e-5
28
1e-7
29
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 14 (9)18 (3)15 (2)16 (2)17 (3)18 (2)19 (1)15/15
lmm-CMA-ES auger noiseless 3.1 (2)4.9 (1)4.5 (0.4)4.9 (0.9)4.9 (0.4)4.9 (0.8)5.3 (0.7)15/15
IPOPsaACM loshchilov noiseless 5.2 (2)5.7 (2)5.3 (1)5.7 (0.9)5.9 (0.5)6.1 (0.9)6.7 (1)15/15
DTS5-CMA 2.2 (0.8)2.5 (0.6)★22.1 (0.4)★22.3 (0.4)★22.3 (0.3)★22.5 (0.2)★22.6 (0.2)★230/30
CMA-ES -061 8.0 (4)11 (3)10 (2)11 (3)12 (1)13 (2)15 (1)5/5

Δ fopt
f3, 2-D
1e1
15
1e0
271
1e-1
445
1e-2
446
1e-3
450
1e-5
454
1e-7
464
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.1 (6)3.5 (4)7.1 (5)7.4 (8)7.6 (11)7.8 (15)8.0 (8)15/15
lmm-CMA-ES auger noiseless 2.6 (0.8)1.8 (2)3.1 (2)3.5 (2)4.1 (4)4.2 (6)4.1 (3)9/15
IPOPsaACM loshchilov noiseless 3.1 (3)3.0 (3)5.2 (3)6.4 (7)7.0 (5)7.2 (3)7.2 (15)15/15
DTS5-CMA 2.6 (2)0.58 (0.5)1.3 (1)1.8 (0.9)1.8 (2)1.8 (2)1.8 (2)14/30
CMA-ES -061 12 (13)6.5 (7)6.2 (6)6.3 (7)6.7 (8)7.1 (6)7.3 (8)5/5

Δ fopt
f4, 2-D
1e1
22
1e0
344
1e-1
459
1e-2
496
1e-3
523
1e-5
544
1e-7
566
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.1 (2)5.7 (5)39 (51)62 (58)80 (125)85 (72)84 (126)15/15
lmm-CMA-ES auger noiseless 2.2 (2)4.3 (5)51 (39)47 (50)45 (47)43 (50)41 (30)1/15
IPOPsaACM loshchilov noiseless 2.5 (2)4.5 (4)69 (114)98 (70)283 (664)1074 (988)1130 (2040)14/15
DTS5-CMA 1.4 (2)1.8 (3)15 (26)14 (16)14 (10)13 (12)13 (7)2/30
CMA-ES -061 1.9 (1)12 (9)88 (78)121 (100)122 (110)129 (62)132 (69)4/5

Δ fopt
f5, 2-D
1e1
4.0
1e0
4.0
1e-1
4.0
1e-2
4.0
1e-3
4.0
1e-5
4.0
1e-7
4.0
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.0 (2)6.3 (4)6.7 (5)6.7 (2)6.7 (2)6.7 (4)6.7 (5)15/15
lmm-CMA-ES auger noiseless 3.4 (1)5.5 (2)5.7 (2)5.7 (3)5.7 (3)5.7 (2)5.7 (2)15/15
IPOPsaACM loshchilov noiseless 2.8 (3)6.7 (4)7.5 (4)7.5 (5)7.5 (6)7.5 (2)7.5 (6)15/15
DTS5-CMA 1.9 (0.8)3.6 (2)3.8 (2)3.8 (2)3.8 (2)3.8 (2)3.8 (2)30/30
CMA-ES -061 3.0 (1)7.0 (3)8.5 (2)8.5 (4)8.5 (4)8.5 (4)8.5 (4)5/5

Δ fopt
f6, 2-D
1e1
13
1e0
23
1e-1
41
1e-2
54
1e-3
67
1e-5
95
1e-7
124
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.0 (1)3.2 (2)3.2 (2)3.5 (0.9)4.0 (0.6)3.9 (0.5)3.8 (0.4)15/15
lmm-CMA-ES auger noiseless 2.2 (2)2.5 (1)2.5 (0.9)2.6 (0.6)2.7 (0.8)2.7 (0.8)2.7 (0.7)15/15
IPOPsaACM loshchilov noiseless 2.5 (3)3.3 (2)4.2 (2)3.9 (1)3.8 (3)3.8 (1)3.9 (1)15/15
DTS5-CMA 1.7 (3)3.9 (6)3.2 (3)3.4 (2)3.5 (1)3.9 (1)5.4 (3)8/30
CMA-ES -061 1.4 (0.7)2.3 (1)2.7 (0.3)3.0 (0.3)3.5 (1)3.2 (0.5)3.9 (0.5)5/5

Δ fopt
f7, 2-D
1e1
3.0
1e0
21
1e-1
60
1e-2
193
1e-3
217
1e-5
217
1e-7
241
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6.6 (8)3.9 (5)2.6 (2)1.0 (0.7)1.1 (0.6)1.1 (0.7)1.4 (0.2)15/15
lmm-CMA-ES auger noiseless 3.7 (3)2.2 (2)1.3 (2)0.58 (0.4)0.60 (0.4)0.60 (0.1)0.60 (0.5)15/15
IPOPsaACM loshchilov noiseless 4.8 (2)5.1 (10)3.7 (3)1.5 (0.8)1.3 (0.8)1.3 (0.7)1.6 (1)15/15
DTS5-CMA 3.2 (2)2.2 (2)1.3 (1)0.46 (0.5)0.52 (0.6)0.52 (0.5)0.58 (0.5)30/30
CMA-ES -061 3.4 (4)2.1 (2)1.6 (0.5)0.80 (0.3)0.77 (0.3)0.77 (0.2)0.78 (0.2)5/5

Δ fopt
f8, 2-D
1e1
5.0
1e0
12
1e-1
37
1e-2
46
1e-3
86
1e-5
94
1e-7
112
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 7.1 (12)7.9 (11)7.5 (6)8.6 (7)5.2 (3)5.6 (3)5.2 (2)15/15
lmm-CMA-ES auger noiseless 2.7 (2)3.8 (2)2.5 (0.9)2.7 (1)1.6 (0.6)1.7 (0.7)1.5 (0.6)15/15
IPOPsaACM loshchilov noiseless 6.2 (6)11 (7)6.4 (6)6.4 (4)3.8 (2)3.8 (2)3.4 (2)15/15
DTS5-CMA 3.1 (1)3.2 (2)1.8 (0.8)1.7 (0.9)1.0 (0.4)★21.0 (0.3)★20.95 (0.3)★230/30
CMA-ES -061 4.2 (4)9.1 (7)5.6 (5)7.0 (5)4.4 (2)4.7 (2)4.6 (2)5/5

Δ fopt
f9, 2-D
1e1
1
1e0
18
1e-1
30
1e-2
44
1e-3
68
1e-5
81
1e-7
92
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 22 (21)6.8 (5)8.8 (4)7.9 (6)6.2 (3)6.0 (4)6.0 (0.7)15/15
lmm-CMA-ES auger noiseless 1 (0)2.2 (0.6)2.8 (2)2.7 (0.8)2.0 (0.5)1.9 (0.7)1.8 (0.6)15/15
IPOPsaACM loshchilov noiseless 19 (20)6.3 (9)7.8 (5)6.4 (5)4.5 (2)4.2 (1)3.8 (2)15/15
DTS5-CMA 14 (11)1.8 (2)1.9 (1)1.6 (0.8)★21.1 (0.3)★21.1 (0.4)★21.1 (0.3)★230/30
CMA-ES -061 1 (0)3.4 (2)7.8 (3)7.8 (2)5.5 (0.7)5.4 (2)5.5 (2)5/5

Δ fopt
f10, 2-D
1e1
30
1e0
46
1e-1
54
1e-2
61
1e-3
68
1e-5
82
1e-7
98
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.3 (4)5.4 (3)5.8 (2)6.1 (1)5.9 (1)5.4 (0.8)5.2 (0.8)15/15
lmm-CMA-ES auger noiseless 2.4 (1)1.9 (0.9)1.9 (0.8)1.9 (0.2)1.8 (0.4)1.7 (0.4)1.5 (0.2)15/15
IPOPsaACM loshchilov noiseless 3.3 (2)2.6 (2)2.8 (1)2.8 (1.0)2.7 (1)2.5 (0.4)2.3 (0.8)15/15
DTS5-CMA 1 (0.3)★20.89 (0.3)★20.92 (0.1)★20.90 (0.1)★20.88 (0.1)★20.82 (0.1)★20.77 (0.1)★230/30
CMA-ES -061 4.7 (2)4.8 (1)4.8 (0.9)4.8 (0.6)4.3 (0.5)4.3 (0.3)4.3 (0.4)5/5

Δ fopt
f11, 2-D
1e1
35
1e0
45
1e-1
50
1e-2
62
1e-3
67
1e-5
81
1e-7
97
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.2 (3)6.7 (3)7.0 (2)6.1 (1.0)6.1 (0.9)5.8 (0.8)5.5 (0.8)15/15
lmm-CMA-ES auger noiseless 2.0 (1)2.0 (0.8)2.2 (0.4)1.9 (0.5)1.8 (0.3)1.7 (0.3)1.6 (0.1)15/15
IPOPsaACM loshchilov noiseless 2.8 (2)2.9 (2)2.9 (0.7)2.5 (0.6)2.5 (0.4)2.2 (0.7)2.2 (0.6)15/15
DTS5-CMA 0.91 (0.2)★21.0 (0.2)★21.1 (0.2)★20.95 (0.2)★20.95 (0.1)★20.87 (0.1)★20.80 (0.1)★230/30
CMA-ES -061 3.9 (3)4.8 (2)5.2 (1)4.6 (1)4.5 (1)4.4 (1)4.4 (0.7)5/5

Δ fopt
f12, 2-D
1e1
35
1e0
46
1e-1
75
1e-2
94
1e-3
105
1e-5
153
1e-7
195
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.1 (5)7.8 (11)8.3 (9)8.2 (14)8.4 (5)13 (28)11 (4)15/15
lmm-CMA-ES auger noiseless 1.9 (1.0)3.6 (4)3.5 (0.8)3.4 (5)3.4 (5)3.2 (2)2.9 (5)14/15
IPOPsaACM loshchilov noiseless 5.2 (7)6.1 (9)4.7 (3)4.4 (9)4.2 (0.6)3.4 (2)3.2 (7)15/15
DTS5-CMA 1.4 (0.5)1.7 (0.7)1.5 (0.5)1.5 (2)1.5 (1)1.4 (2)1.3 (2)22/30
CMA-ES -061 4.9 (2)5.5 (2)4.0 (1)3.4 (0.7)3.5 (1)2.9 (0.7)2.7 (0.4)5/5

Δ fopt
f13, 2-D
1e1
23
1e0
35
1e-1
46
1e-2
60
1e-3
71
1e-5
95
1e-7
122
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.3 (1)6.1 (3)6.2 (3)5.9 (1)6.1 (0.8)5.9 (0.6)5.8 (1)15/15
lmm-CMA-ES auger noiseless 2.0 (2)3.1 (2)3.2 (1)2.9 (0.8)2.8 (0.5)2.9 (0.7)2.8 (0.5)15/15
IPOPsaACM loshchilov noiseless 2.8 (1)3.0 (1)3.3 (1)3.0 (0.8)2.8 (1)2.7 (0.7)2.5 (0.5)15/15
DTS5-CMA 1.2 (1)1.1 (0.5)★21.1 (0.4)★21.0 (0.2)★21.0 (0.2)★21.0 (0.3)★20.97 (0.1)★230/30
CMA-ES -061 3.1 (0.4)3.2 (0.6)4.0 (0.5)3.9 (0.6)4.0 (0.4)4.0 (0.3)4.1 (0.3)5/5

Δ fopt
f14, 2-D
1e1
1
1e0
7.0
1e-1
16
1e-2
24
1e-3
38
1e-5
67
1e-7
90
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.2 (1)2.9 (2)3.3 (2)4.9 (1)4.9 (2)4.9 (1.0)5.9 (0.9)15/15
lmm-CMA-ES auger noiseless 1.3 (0)1.9 (2)1.9 (0.5)2.1 (0.6)2.1 (0.4)2.1 (0.2)2.3 (0.3)15/15
IPOPsaACM loshchilov noiseless 6.9 (10)4.9 (6)3.5 (2)3.9 (2)3.8 (0.7)3.1 (0.7)3.0 (0.6)15/15
DTS5-CMA 2.3 (2)1.7 (0.9)1.2 (0.3)1.3 (0.3)★21.1 (0.2)★21.0 (0.2)★21.0 (0.2)★230/30
CMA-ES -061 1.2 (0.5)2.6 (2)3.0 (0.9)3.5 (0.7)4.2 (0.8)4.6 (0.6)4.7 (0.3)5/5

Δ fopt
f15, 2-D
1e1
37
1e0
291
1e-1
1033
1e-2
1066
1e-3
1113
1e-5
1231
1e-7
1412
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.4 (3)2.6 (2)2.5 (1)2.9 (8)2.8 (5)2.7 (5)2.4 (5)15/15
lmm-CMA-ES auger noiseless 0.75 (0.5)1.2 (1)0.72 (0.6)0.82 (0.5)0.80 (0.7)0.74 (0.6)0.71 (1)12/15
IPOPsaACM loshchilov noiseless 1.3 (1)2.6 (5)1.4 (0.8)1.9 (2)1.8 (2)1.7 (1)1.5 (0.6)15/15
DTS5-CMA 0.52 (0.3)0.35 (0.3)0.44 (0.1)0.50 (1)0.49 (0.4)0.45 (0.5)0.41 (0.2)18/30
CMA-ES -061 0.90 (0.7)3.7 (4)1.9 (0.5)2.0 (0.3)2.0 (0.7)1.9 (0.5)1.7 (0.2)5/5

Δ fopt
f16, 2-D
1e1
9.0
1e0
50
1e-1
174
1e-2
326
1e-3
358
1e-5
409
1e-7
538
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.9 (0.9)8.3 (11)6.1 (6)3.7 (3)3.6 (3)3.3 (3)2.7 (1)15/15
lmm-CMA-ES auger noiseless 2.4 (2)2.4 (3)1.9 (3)1.5 (2)1.5 (2)1.4 (2)1.1 (0.4)14/15
IPOPsaACM loshchilov noiseless 3.8 (7)6.6 (2)4.3 (3)3.0 (2)3.0 (1)3.1 (2)2.9 (2)15/15
DTS5-CMA 3.1 (5)4.6 (4)2.6 (2)1.4 (1)1.4 (0.7)1.2 (3)0.98 (1.0)18/30
CMA-ES -061 4.4 (3)1.8 (0.9)0.86 (0.5)0.59 (0.3)0.66 (0.2)0.67 (0.2)0.65 (0.1)5/5

Δ fopt
f17, 2-D
1e1
3.0
1e0
61
1e-1
133
1e-2
275
1e-3
396
1e-5
1086
1e-7
1657
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.8 (3)2.6 (5)2.2 (2)1.8 (1)1.5 (1)1.3 (0.3)1.1 (0.6)15/15
lmm-CMA-ES auger noiseless 2.3 (3)0.88 (1)1.1 (1)0.83 (0.6)0.78 (0.4)1.7 (1)1.3 (1)8/15
IPOPsaACM loshchilov noiseless 3.8 (4)1.5 (0.6)2.0 (0.3)2.1 (1)2.1 (1)2.0 (2)1.7 (0.5)15/15
DTS5-CMA 1.3 (0.8)5.5 (9)3.8 (3)2.5 (4)2.6 (2)1.2 (1)1.0 (0.3)8/30
CMA-ES -061 1.7 (1)0.98 (0.4)0.86 (0.2)0.77 (0.3)0.76 (0.2)1.5 (0.4)1.1 (0.4)5/5

Δ fopt
f18, 2-D
1e1
19
1e0
134
1e-1
666
1e-2
1249
1e-3
1708
1e-5
2438
1e-7
2858
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.4 (2)3.9 (7)1.2 (0.7)0.78 (0.4)0.71 (0.5)0.85 (0.4)0.92 (0.4)15/15
lmm-CMA-ES auger noiseless 1.8 (0.8)2.6 (2)1.1 (1)0.80 (0.5)0.87 (0.9)1.1 (1)0.97 (0.4)8/15
IPOPsaACM loshchilov noiseless 2.0 (1)3.0 (2)1.4 (1)0.90 (0.7)0.83 (0.6)1.1 (0.7)1.4 (1)15/15
DTS5-CMA 0.84 (0.4)2.5 (2)1.2 (0.7)0.85 (0.8)1.0 (1)1.5 (1.0)1.3 (0.7)2/30
CMA-ES -061 1.7 (2)1.9 (0.3)1.3 (0.7)0.75 (0.4)0.62 (0.3)0.61 (0.1)0.60 (0.0)5/5

Δ fopt
f19, 2-D
1e1
1
1e0
1
1e-1
26
1e-2
216
1e-3
227
1e-5
252
1e-7
276
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.1 (5)32 (26)9.3 (22)8.7 (8)14 (13)19 (42)18 (10)15/15
lmm-CMA-ES auger noiseless 1 (0)1 (0)5.2 (7)6.1 (5)6.7 (9)6.9 (8)7.2 (20)8/15
IPOPsaACM loshchilov noiseless 4.7 (8)33 (19)7.9 (3)9.5 (10)10 (8)17 (28)16 (46)15/15
DTS5-CMA 4.4 (4)40 (78)10 (20)4.2 (5)4.2 (6)5.9 (8)5.5 (6)8/30
CMA-ES -061 1 (0)1 (0)5.1 (4)15 (12)20 (18)19 (16)17 (15)5/5

Δ fopt
f20, 2-D
1e1
4.0
1e0
61
1e-1
365
1e-2
366
1e-3
366
1e-5
370
1e-7
375
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.7 (2)12 (19)10 (12)11 (17)12 (11)12 (18)12 (15)15/15
lmm-CMA-ES auger noiseless 1.9 (0.8)14 (18)14 (17)15 (19)15 (14)15 (19)15 (20)4/15
IPOPsaACM loshchilov noiseless 2.4 (3)8.1 (20)6.9 (10)12 (11)13 (8)13 (11)13 (15)15/15
DTS5-CMA 1.4 (1)2.3 (0.5)1.4 (1)1.5 (0.9)1.5 (1)1.5 (1)1.5 (1)18/30
CMA-ES -061 1.4 (2)17 (14)11 (3)17 (5)19 (20)19 (17)20 (12)5/5

Δ fopt
f21, 2-D
1e1
2.0
1e0
51
1e-1
174
1e-2
276
1e-3
290
1e-5
324
1e-7
330
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.3 (1)6.2 (7)7.0 (4)4.9 (8)5.3 (5)5.2 (2)25 (74)15/15
lmm-CMA-ES auger noiseless 0.83 (0.5)1.5 (2)2.7 (3)1.8 (3)1.7 (4)1.8 (3)1.8 (0.3)12/15
IPOPsaACM loshchilov noiseless 1.1 (0.9)6.7 (13)5.6 (7)4.0 (2)10 (28)10 (4)11 (4)15/15
DTS5-CMA 1.1 (0.8)2.7 (2)1.8 (2)1.2 (2)1.3 (1)1.2 (2)1.3 (1.0)20/30
CMA-ES -061 1.2 (1)4.2 (5)4.6 (8)3.0 (5)3.0 (5)2.9 (3)3.1 (3)5/5

Δ fopt
f22, 2-D
1e1
5.0
1e0
27
1e-1
168
1e-2
218
1e-3
249
1e-5
289
1e-7
306
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.2 (2)4.6 (12)5.5 (6)4.7 (7)7.7 (26)7.2 (7)15 (7)15/15
lmm-CMA-ES auger noiseless 1.5 (1)3.7 (2)2.5 (3)3.2 (2)3.1 (3)3.0 (3)2.9 (6)12/15
IPOPsaACM loshchilov noiseless 1.5 (1)10 (11)3.0 (4)2.9 (3)3.4 (7)6.3 (30)16 (2)15/15
DTS5-CMA 1.6 (0.7)5.7 (8)1.7 (0.9)1.9 (2)1.9 (1)2.3 (2)3.0 (7)12/30
CMA-ES -061 0.92 (0.3)5.5 (6)1.2 (2)1.2 (1)1.1 (1)1.1 (0.6)1.1 (1)5/5

Δ fopt
f23, 2-D
1e1
8.0
1e0
193
1e-1
234
1e-2
263
1e-3
299
1e-5
348
1e-7
379
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.7 (3)6.6 (6)16 (41)19 (28)17 (25)15 (26)14 (9)15/15
lmm-CMA-ES auger noiseless 2.1 (3)3.0 (3)4.0 (4)3.6 (3)3.3 (1)3.0 (2)2.9 (3)12/15
IPOPsaACM loshchilov noiseless 2.1 (4)7.4 (7)9.0 (7)9.5 (11)8.6 (12)8.5 (4)8.0 (10)15/15
DTS5-CMA 1.5 (2)1.2 (2)1.0 (0.7)1.0 (2)1.0 (1)0.93 (0.6)0.91 (1)22/30
CMA-ES -061 3.6 (2)12 (14)13 (12)12 (10)11 (9)10 (8)10 (5)5/5

Δ fopt
f24, 2-D
1e1
18
1e0
857
1e-1
8515
1e-2
23399
1e-3
24113
1e-5
24721
1e-7
24721
#succ
5/15
IPOP-ACTCMA-ES ros noiseless 1.6 (1)80 (156)374 (748)477 (1191)463 (181)452 (354)452 (475)1/15
lmm-CMA-ES auger noiseless 1.6 (1)1.5 (1)16110/15
IPOPsaACM loshchilov noiseless 1.8 (2)58 (108)258 (294)365 (487)573 (846)559 (987)559 (668)2/15
DTS5-CMA 0.91 (0.3)5020/30
CMA-ES -061 1.2 (0.4)6.0 (8)17 (29)35 (60)34 (48)2e50/5

Previous dimension | Dimension = 3 | Next dimension

Δ fopt
f1, 3-D
1e1
4.0
1e0
8.0
1e-1
8.0
1e-2
8.0
1e-3
8.0
1e-5
8.0
1e-7
8.0
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.2 (3)6.4 (3)11 (4)16 (5)23 (3)33 (5)44 (6)15/15
lmm-CMA-ES auger noiseless 1.5 (1)2.3 (0.7)3.0 (0.7)4.1 (0.6)5.0 (0.6)6.2 (0.4)8.1 (0.7)15/15
IPOPsaACM loshchilov noiseless 2.9 (3)5.5 (2)9.3 (2)11 (0.9)12 (2)16 (1)19 (1)15/15
DTS5-CMA 2.2 (1)2.3 (0.4)3.2 (0.3)3.7 (0.5)4.6 (0.4)6.0 (0.9)7.7 (0.7)30/30
CMA-ES -061 1.6 (1)4.0 (2)11 (5)13 (7)21 (5)32 (1)43 (5)5/5

Δ fopt
f2, 3-D
1e1
38
1e0
42
1e-1
43
1e-2
44
1e-3
45
1e-5
47
1e-7
48
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 11 (3)13 (3)14 (2)15 (2)16 (2)17 (1)18 (1)15/15
lmm-CMA-ES auger noiseless 3.2 (1)3.8 (0.5)4.1 (0.7)4.3 (0.7)4.3 (0.8)4.6 (0.8)4.9 (0.7)15/15
IPOPsaACM loshchilov noiseless 4.2 (0.6)4.3 (0.8)4.7 (0.9)4.9 (0.7)5.1 (0.9)5.6 (1.0)6.1 (1)15/15
DTS5-CMA 1.5 (0.4)★21.7 (0.5)★21.9 (0.2)★22.0 (0.3)★22.1 (0.3)★22.3 (0.2)★22.5 (0.2)★230/30
CMA-ES -061 5.6 (0.8)8.2 (2)10 (2)10 (2)11 (1)12 (2)14 (1)5/5

Δ fopt
f3, 3-D
1e1
38
1e0
822
1e-1
830
1e-2
835
1e-3
842
1e-5
847
1e-7
853
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.0 (3)2.7 (2)13 (51)17 (5)17 (6)17 (60)18 (34)15/15
lmm-CMA-ES auger noiseless 3.9 (5)1.5 (2)16 (25)16 (24)16 (15)16 (18)16 (15)2/15
IPOPsaACM loshchilov noiseless 5.2 (3)3.4 (4)17 (4)57 (67)76 (324)76 (328)77 (27)15/15
DTS5-CMA 1.6 (1)1.1 (1)6.5 (6)6.5 (4)6.4 (5)6.4 (5)6.4 (8)4/30
CMA-ES -061 3.5 (0.7)2.9 (1)5.0 (6)5.0 (4)5.3 (6)5.5 (4)5.7 (7)5/5

Δ fopt
f4, 3-D
1e1
40
1e0
808
1e-1
866
1e-2
921
1e-3
952
1e-5
1015
1e-7
1044
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 8.3 (16)463 (286)6e50/15
lmm-CMA-ES auger noiseless 4.6 (5)35 (41)33 (34)31 (27)30 (40)28 (12)27 (31)1/15
IPOPsaACM loshchilov noiseless 8.6 (7)240 (357)1.6e4 (1e4)1.5e4 (1e4)1.5e4 (1e4)1.4e4 (2e4)1.3e4 (2e4)3/15
DTS5-CMA 4.2 (3)2.2 (3)12 (12)12 (10)11 (9)11 (5)11 (10)2/30
CMA-ES -061 4.5 (2)255 (236)1e50/5

Δ fopt
f5, 3-D
1e1
7.0
1e0
7.0
1e-1
7.0
1e-2
7.0
1e-3
7.0
1e-5
7.0
1e-7
7.0
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.1 (3)5.7 (3)6.0 (2)6.0 (2)6.0 (4)6.0 (3)6.0 (2)15/15
lmm-CMA-ES auger noiseless 2.6 (2)4.0 (1)4.1 (2)4.1 (2)4.1 (1)4.1 (2)4.1 (2)15/15
IPOPsaACM loshchilov noiseless 3.8 (1)5.5 (3)5.8 (2)5.9 (3)5.9 (2)5.9 (2)5.9 (2)15/15
DTS5-CMA 1.7 (0.9)2.7 (1)3.2 (1)3.2 (0.8)3.3 (1.0)3.3 (1)3.3 (1)30/30
CMA-ES -061 3.2 (1)4.3 (1)4.5 (2)4.5 (1)4.5 (1)4.5 (2)4.5 (1)5/5

Δ fopt
f6, 3-D
1e1
34
1e0
56
1e-1
90
1e-2
117
1e-3
149
1e-5
215
1e-7
265
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.2 (2)3.3 (0.8)3.2 (0.9)3.3 (0.9)3.2 (0.4)3.0 (0.8)3.0 (0.3)15/15
lmm-CMA-ES auger noiseless 2.6 (2)3.2 (2)2.9 (1)3.3 (1)3.1 (1)3.3 (2)3.7 (1)15/15
IPOPsaACM loshchilov noiseless 2.8 (0.9)3.3 (2)2.9 (0.9)3.4 (2)3.4 (2)3.2 (1)3.6 (2)15/15
DTS5-CMA 2.3 (1)4.4 (3)4.0 (2)6.2 (3)11 (14)25 (18)42 (52)0/30
CMA-ES -061 2.0 (0.8)2.7 (0.6)2.7 (0.9)2.7 (0.7)2.6 (0.5)2.7 (0.2)2.7 (0.1)5/5

Δ fopt
f7, 3-D
1e1
11
1e0
65
1e-1
342
1e-2
464
1e-3
482
1e-5
482
1e-7
535
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.0 (3)1.7 (0.9)0.93 (1)0.90 (0.8)1.0 (0.7)1.0 (0.7)1.1 (0.4)15/15
lmm-CMA-ES auger noiseless 1.5 (1)2.2 (0.5)1.1 (2)1.0 (1)1.1 (1.0)1.1 (1)1.0 (1)15/15
IPOPsaACM loshchilov noiseless 2.7 (1)2.3 (4)0.89 (0.8)0.94 (0.9)1.1 (0.8)1.1 (0.9)1.1 (0.9)15/15
DTS5-CMA 1.2 (0.5)0.79 (0.4)0.64 (0.6)0.64 (0.6)0.71 (0.6)0.71 (1)0.66 (0.7)28/30
CMA-ES -061 2.2 (0.5)1.5 (0.5)0.71 (0.6)0.61 (0.5)0.61 (0.1)0.61 (0.4)0.62 (0.3)5/5

Δ fopt
f8, 3-D
1e1
27
1e0
45
1e-1
152
1e-2
179
1e-3
188
1e-5
198
1e-7
208
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.5 (3)7.4 (7)3.8 (2)4.1 (1)4.2 (1)4.5 (1)4.7 (2)15/15
lmm-CMA-ES auger noiseless 1.7 (0.5)2.1 (0.6)1.1 (0.1)1.2 (0.2)1.2 (0.3)1.3 (0.4)1.3 (0.2)15/15
IPOPsaACM loshchilov noiseless 3.3 (3)5.8 (3)2.5 (2)2.4 (1)2.4 (1)2.4 (1)2.4 (1)15/15
DTS5-CMA 1.3 (0.8)1.6 (1)0.70 (0.2)0.70 (0.1)★20.72 (0.2)★20.75 (0.2)★20.77 (0.3)★230/30
CMA-ES -061 3.1 (2)5.4 (3)2.9 (1)3.3 (1)3.5 (0.6)3.8 (0.6)4.0 (0.8)5/5

Δ fopt
f9, 3-D
1e1
21
1e0
65
1e-1
127
1e-2
149
1e-3
159
1e-5
169
1e-7
178
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.4 (2)5.9 (7)4.8 (0.7)4.8 (4)5.1 (4)5.4 (2)5.7 (3)15/15
lmm-CMA-ES auger noiseless 1.6 (0.4)1.6 (0.5)1.4 (0.4)1.5 (0.3)1.5 (0.3)1.6 (0.2)1.6 (0.2)15/15
IPOPsaACM loshchilov noiseless 3.9 (1)3.1 (4)2.6 (0.9)2.6 (2)2.6 (0.6)2.6 (1)2.7 (1)15/15
DTS5-CMA 1.6 (0.2)1.3 (1)0.96 (0.5)0.95 (0.4)0.95 (0.2)0.98 (0.4)★21.0 (0.5)★230/30
CMA-ES -061 1.4 (0.6)1.8 (2)2.5 (2)2.6 (1)2.8 (1)3.2 (0.9)3.6 (1.0)5/5

Δ fopt
f10, 3-D
1e1
114
1e0
152
1e-1
168
1e-2
180
1e-3
194
1e-5
218
1e-7
242
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.1 (2)3.4 (0.8)3.5 (0.8)3.6 (0.4)3.5 (0.5)3.5 (0.7)3.5 (0.7)15/15
lmm-CMA-ES auger noiseless 1.0 (0.6)1.1 (0.3)1.1 (0.2)1.1 (0.1)1.1 (0.1)1.1 (0.1)1.0 (0.1)15/15
IPOPsaACM loshchilov noiseless 1.4 (0.1)1.3 (0.3)1.3 (0.3)1.3 (0.3)1.3 (0.4)1.3 (0.3)1.3 (0.2)15/15
DTS5-CMA 0.48 (0.2)★20.49 (0.1)★20.50 (0.1)★20.50 (0.1)★20.49 (0.0)★20.50 (0.0)★20.50 (0.0)★230/30
CMA-ES -061 2.5 (0.6)2.7 (0.3)2.7 (0.2)2.7 (0.4)2.8 (0.2)2.9 (0.3)2.9 (0.1)5/5

Δ fopt
f11, 3-D
1e1
67
1e0
105
1e-1
227
1e-2
263
1e-3
277
1e-5
302
1e-7
327
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.3 (3)4.5 (2)2.4 (0.5)2.3 (0.4)2.3 (0.4)2.5 (0.3)2.5 (0.3)15/15
lmm-CMA-ES auger noiseless 1.4 (1)1.6 (0.4)0.88 (0.2)0.80 (0.2)0.79 (0.2)0.79 (0.2)0.79 (0.2)15/15
IPOPsaACM loshchilov noiseless 2.2 (1)1.8 (0.3)0.91 (0.1)0.84 (0.1)0.85 (0.1)0.90 (0.1)0.92 (0.1)15/15
DTS5-CMA 0.84 (0.3)0.72 (0.2)★20.37 (0.1)★20.34 (0.0)★20.34 (0.0)★20.36 (0.0)★20.38 (0.0)★230/30
CMA-ES -061 2.2 (1)3.3 (0.7)1.7 (0.2)1.6 (0.2)1.8 (0.1)1.9 (0.1)2.1 (0.2)5/5

Δ fopt
f12, 3-D
1e1
65
1e0
168
1e-1
338
1e-2
401
1e-3
445
1e-5
696
1e-7
790
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 10 (8)7.8 (8)6.2 (6)6.0 (5)5.9 (3)4.6 (5)4.6 (2)15/15
lmm-CMA-ES auger noiseless 2.3 (4)1.6 (4)1.4 (2)1.4 (1)1.4 (4)1.2 (0.8)1.2 (0.3)13/15
IPOPsaACM loshchilov noiseless 4.4 (5)3.1 (4)2.1 (2)2.2 (2)2.2 (3)1.8 (0.6)1.8 (1)15/15
DTS5-CMA 1.8 (1.0)1.3 (1)0.86 (0.5)0.91 (1)0.93 (0.7)0.85 (0.7)0.88 (0.4)10/30
CMA-ES -061 5.3 (5)3.9 (4)2.7 (3)2.9 (2)3.2 (2)2.8 (2)3.0 (2)5/5

Δ fopt
f13, 3-D
1e1
49
1e0
85
1e-1
108
1e-2
136
1e-3
215
1e-5
281
1e-7
365
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.4 (2)3.6 (1)3.9 (0.8)4.3 (0.7)3.3 (1.0)3.4 (0.6)3.4 (0.6)15/15
lmm-CMA-ES auger noiseless 1.4 (0.3)1.8 (0.8)1.8 (0.5)1.8 (0.4)1.3 (0.2)1.3 (0.3)1.3 (0.3)15/15
IPOPsaACM loshchilov noiseless 2.4 (1)1.8 (0.7)1.9 (0.7)1.9 (0.6)1.4 (0.5)1.4 (0.3)1.3 (0.2)15/15
DTS5-CMA 2.0 (3)1.6 (2)1.5 (2)1.3 (1)0.99 (0.6)0.95 (0.6)0.92 (0.3)★230/30
CMA-ES -061 3.3 (0.7)3.2 (0.8)3.7 (0.3)3.8 (0.4)2.7 (0.2)2.7 (0.3)2.7 (0.3)5/5

Δ fopt
f14, 3-D
1e1
2.0
1e0
17
1e-1
28
1e-2
43
1e-3
71
1e-5
110
1e-7
194
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.5 (2)2.8 (2)3.8 (2)4.2 (0.9)3.7 (1)5.0 (1)4.2 (0.5)15/15
lmm-CMA-ES auger noiseless 1.9 (2)1.7 (0.6)1.6 (0.4)1.7 (0.3)1.8 (0.4)2.1 (0.1)1.7 (0.1)15/15
IPOPsaACM loshchilov noiseless 3.7 (5)2.5 (2)3.3 (0.8)3.1 (0.7)2.4 (0.6)2.4 (0.3)1.8 (0.3)15/15
DTS5-CMA 2.2 (3)1.3 (0.5)1.3 (0.3)1.1 (0.2)★20.97 (0.1)★21.1 (0.1)★20.82 (0.0)★230/30
CMA-ES -061 1.6 (1)1.9 (1)3.7 (1)4.2 (1)3.8 (1)4.1 (0.8)3.3 (0.5)5/5

Δ fopt
f15, 3-D
1e1
121
1e0
1372
1e-1
6285
1e-2
8282
1e-3
8429
1e-5
8787
1e-7
9041
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 0.99 (0.4)1.6 (2)1.0 (1)0.85 (0.6)0.85 (0.6)0.85 (0.9)0.85 (0.6)15/15
lmm-CMA-ES auger noiseless 1.3 (0.7)0.74 (0.5)0.79 (0.6)0.60 (0.7)0.59 (0.7)0.57 (1)0.56 (0.5)5/15
IPOPsaACM loshchilov noiseless 0.90 (0.7)1.2 (1)0.97 (1)0.79 (0.8)0.79 (0.6)0.77 (0.6)0.76 (0.4)15/15
DTS5-CMA 0.47 (0.4)0.54 (0.5)0.39 (0.4)0.40 (0.4)0.39 (0.4)0.38 (0.5)0.37 (0.3)6/30
CMA-ES -061 0.85 (0.3)1.1 (0.6)0.82 (0.0)0.64 (1)0.65 (1)0.64 (1)0.65 (1)5/5

Δ fopt
f16, 3-D
1e1
41
1e0
319
1e-1
582
1e-2
789
1e-3
1864
1e-5
3204
1e-7
3361
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.5 (3)3.2 (2)2.7 (2)3.1 (3)1.5 (1)0.93 (0.5)0.93 (0.4)15/15
lmm-CMA-ES auger noiseless 1.4 (2)2.1 (1)2.3 (2)2.0 (1)0.93 (2)0.69 (0.8)0.68 (1)8/15
IPOPsaACM loshchilov noiseless 2.7 (1)3.9 (6)2.8 (3)2.3 (3)1.1 (1)0.81 (0.4)0.84 (0.4)15/15
DTS5-CMA 1.7 (5)1.4 (0.5)1.3 (2)0.97 (0.8)0.42 (0.4)0.26 (0.1)0.26 (0.2)18/30
CMA-ES -061 0.60 (0.3)4.2 (4)5.0 (3)3.8 (3)1.7 (0.9)1.0 (0.7)1.0 (0.7)5/5

Δ fopt
f17, 3-D
1e1
4.0
1e0
78
1e-1
282
1e-2
491
1e-3
1134
1e-5
2347
1e-7
3469
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.1 (2)6.6 (11)2.8 (3)2.1 (2)1.6 (0.9)1.2 (0.7)0.95 (0.5)15/15
lmm-CMA-ES auger noiseless 0.85 (0.8)1.5 (1)0.92 (0.6)1.1 (0.5)0.67 (1)0.52 (1.0)0.56 (0.6)10/15
IPOPsaACM loshchilov noiseless 2.2 (3)1.2 (0.8)1.3 (0.9)1.6 (2)1.3 (0.9)1.1 (0.3)0.97 (0.5)15/15
DTS5-CMA 1.8 (1)1.4 (2)1.4 (2)1.5 (2)1.2 (1)2.4 (2)3.2 (3)2/30
CMA-ES -061 2.8 (4)1.1 (0.3)1.3 (0.1)1.4 (1)0.73 (0.5)0.75 (0.2)0.69 (0.0)5/5

Δ fopt
f18, 3-D
1e1
40
1e0
145
1e-1
1289
1e-2
3084
1e-3
3523
1e-5
4738
1e-7
5527
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.3 (0.9)1.3 (0.5)0.61 (0.3)0.91 (0.5)0.90 (0.4)0.92 (0.8)0.94 (0.9)15/15
lmm-CMA-ES auger noiseless 0.75 (0.4)1.8 (1)0.94 (1)0.74 (0.3)0.77 (0.5)0.64 (0.7)0.96 (1)5/15
IPOPsaACM loshchilov noiseless 1.4 (1)4.0 (2)1.3 (2)0.84 (0.8)0.91 (0.5)1.1 (0.3)1.3 (0.7)15/15
DTS5-CMA 1.5 (3)2.4 (2)1.2 (1)1.1 (2)1.5 (0.9)7530/30
CMA-ES -061 0.74 (0.3)1.3 (0.4)0.92 (0.7)0.57 (0.2)0.65 (0.4)0.63 (0.2)0.72 (0.3)5/5

Δ fopt
f19, 3-D
1e1
1
1e0
1
1e-1
109
1e-2
6764
1e-3
7367
1e-5
7399
1e-7
7441
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6.0 (6)234 (104)41 (23)4.0 (4)4.6 (5)4.7 (4)4.7 (4)15/15
lmm-CMA-ES auger noiseless 1 (0)1 (0)27 (38)1.4 (1)2.0 (2)2.0 (2)2.0 (4)2/15
IPOPsaACM loshchilov noiseless 8.1 (8)268 (328)138 (222)4.5 (6)5.3 (3)5.4 (9)5.4 (3)15/15
DTS5-CMA 8.4 (4)152 (202)16 (11)1.6 (2)7520/30
CMA-ES -061 1 (0)1 (0)48 (54)3.0 (3)3.0 (4)3.0 (4)3.0 (4)5/5

Δ fopt
f20, 3-D
1e1
8.0
1e0
385
1e-1
2291
1e-2
2398
1e-3
2481
1e-5
2573
1e-7
2776
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.0 (3)5.1 (4)5.8 (3)5.9 (3)5.9 (3)5.9 (3)5.6 (1)15/15
lmm-CMA-ES auger noiseless 1.5 (0.9)8.6 (17)13 (13)12 (8)12 (13)12 (8)11 (6)1/15
IPOPsaACM loshchilov noiseless 2.3 (2)3.0 (4)2.4 (2)2.6 (3)2.6 (2)2.5 (3)2.3 (2)15/15
DTS5-CMA 1.8 (0.6)1.4 (1)2.2 (4)2.1 (3)2.1 (1)2.0 (2)1.9 (2)4/30
CMA-ES -061 1.2 (1)1.4 (2)1.6 (2)1.6 (2)1.6 (1)1.6 (1)1.6 (1)5/5

Δ fopt
f21, 3-D
1e1
6.0
1e0
184
1e-1
425
1e-2
439
1e-3
458
1e-5
469
1e-7
482
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 1.8 (0.9)6.6 (4)10 (25)10 (24)10 (24)11 (1)11 (5)15/15
lmm-CMA-ES auger noiseless 2.2 (1)2.1 (4)2.2 (2)2.6 (5)2.5 (4)2.6 (3)2.8 (4)10/15
IPOPsaACM loshchilov noiseless 1.4 (1)3.0 (5)6.7 (4)23 (74)38 (3)38 (6)37 (123)15/15
DTS5-CMA 2.7 (10)3.3 (5)3.0 (3)2.9 (7)2.8 (6)2.9 (2)2.9 (4)12/30
CMA-ES -061 1.4 (2)1.2 (2)8.7 (14)45 (127)44 (41)43 (79)42 (2)4/5

Δ fopt
f22, 3-D
1e1
18
1e0
170
1e-1
354
1e-2
362
1e-3
384
1e-5
401
1e-7
414
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6.6 (21)7.1 (8)27 (34)83 (102)228 (669)222 (323)217 (448)12/15
lmm-CMA-ES auger noiseless 1.3 (1)5.1 (6)10 (23)13 (10)12 (21)12 (8)11 (17)5/15
IPOPsaACM loshchilov noiseless 1.4 (2)5.3 (5)17 (18)37 (29)101 (259)100 (248)98 (142)15/15
DTS5-CMA 6.5 (12)3.4 (2)6.9 (8)14 (15)14 (9)13 (33)13 (13)4/30
CMA-ES -061 2.1 (1)2.6 (2)56 (107)55 (101)52 (9)51 (96)49 (47)4/5

Δ fopt
f23, 3-D
1e1
3.0
1e0
407
1e-1
906
1e-2
1215
1e-3
2214
1e-5
2293
1e-7
2393
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6.2 (14)5.3 (4)10 (12)7.7 (8)4.3 (5)5.4 (4)5.4 (2)15/15
lmm-CMA-ES auger noiseless 4.8 (16)2.5 (6)3.7 (3)4.0 (8)2.2 (2)2.2 (0.8)2.1 (2)5/15
IPOPsaACM loshchilov noiseless 4.8 (16)7.5 (2)11 (10)8.0 (8)4.5 (4)4.5 (4)4.4 (4)15/15
DTS5-CMA 3.6 (3)0.52 (0.5)1.7 (2)1.3 (0.8)0.72 (1)0.85 (0.5)0.83 (1)8/30
CMA-ES -061 1.6 (2)2.0 (1)3.8 (4)3.0 (3)1.7 (2)1.7 (2)1.8 (1)5/5

Δ fopt
f24, 3-D
1e1
97
1e0
10391
1e-1
1.0e5
1e-2
3.6e5
1e-3
3.6e5
1e-5
3.6e5
1e-7
3.6e5
#succ
2/15
IPOP-ACTCMA-ES ros noiseless 2.7 (7)146 (291)64 (98)39 (49)39 (47)39 (31)39 (58)1/15
lmm-CMA-ES auger noiseless 1.5 (2)0.84 (1)20100/15
IPOPsaACM loshchilov noiseless 2.3 (0.8)402 (369)433 (694)3e60/15
DTS5-CMA 1.2 (1)1.0 (0.7)7530/30
CMA-ES -061 1.9 (1)7.9 (0.7)12 (19)3e50/5

Previous dimension | Dimension = 5 | Next dimension

Δ fopt
f1, 5-D
1e1
11
1e0
12
1e-1
12
1e-2
12
1e-3
12
1e-5
12
1e-7
12
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.2 (3)9.1 (2)15 (5)22 (3)27 (4)40 (5)51 (2)15/15
lmm-CMA-ES auger noiseless 1.6 (0.6)2.9 (0.2)3.6 (0.3)4.4 (0.4)5.1 (0.5)6.8 (0.4)8.5 (0.6)15/15
IPOPsaACM loshchilov noiseless 3.0 (2)7.0 (1)8.8 (0.9)10 (1)12 (1)15 (1)18 (2)15/15
DTS5-CMA 1.9 (0.1)2.8 (0.4)3.6 (0.6)4.6 (0.3)5.6 (0.6)7.4 (0.5)9.5 (0.8)30/30
CMA-ES -061 2.2 (2)8.8 (3)15 (2)23 (3)30 (1)42 (3)56 (4)5/5

Δ fopt
f2, 5-D
1e1
83
1e0
87
1e-1
88
1e-2
89
1e-3
90
1e-5
92
1e-7
94
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 10 (3)12 (1)14 (0.9)14 (1)15 (1)16 (1.0)18 (1)15/15
lmm-CMA-ES auger noiseless 3.2 (1)4.0 (0.5)4.4 (0.9)4.6 (0.9)4.8 (1)5.0 (1)5.4 (0.6)15/15
IPOPsaACM loshchilov noiseless 3.6 (0.8)3.7 (1.0)4.1 (0.7)4.4 (0.6)4.6 (0.6)5.0 (0.7)5.3 (0.7)15/15
DTS5-CMA 1.4 (0.3)★21.7 (0.3)★21.9 (0.2)★22.1 (0.2)★22.2 (0.2)★22.4 (0.2)★22.6 (0.2)★230/30
CMA-ES -061 7.7 (3)9.4 (2)10 (2)11 (2)12 (2)13 (2)15 (2)5/5

Δ fopt
f3, 5-D
1e1
716
1e0
1622
1e-1
1637
1e-2
1642
1e-3
1646
1e-5
1650
1e-7
1654
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.1 (0.9)20 (71)1359 (1094)1356 (1822)1353 (1530)1351 (1326)1348 (633)4/15
lmm-CMA-ES auger noiseless 0.45 (0.1)5.3 (7)28060/15
IPOPsaACM loshchilov noiseless 1.1 (1)30 (46)1790 (1551)1785 (2226)1780 (1170)1776 (1960)1772 (2927)12/15
DTS5-CMA 0.34 (0.6)3.4 (8)11 (16)11 (11)11 (19)11 (15)11 (24)2/30
CMA-ES -061 2.6 (1)36 (62)451 (681)450 (904)449 (381)448 (536)448 (542)1/5

Δ fopt
f4, 5-D
1e1
809
1e0
1633
1e-1
1688
1e-2
1758
1e-3
1817
1e-5
1886
1e-7
1903
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.8 (1)9e50/15
lmm-CMA-ES auger noiseless 1.1 (0.8)28100/15
IPOPsaACM loshchilov noiseless 1.0 (0.9)4.3e4 (5e4)5e60/15
DTS5-CMA 2.1 (3)12560/30
CMA-ES -061 2.0 (1)2e50/5

Δ fopt
f5, 5-D
1e1
10
1e0
10
1e-1
10
1e-2
10
1e-3
10
1e-5
10
1e-7
10
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.6 (2)6.3 (2)6.8 (2)6.8 (2)6.8 (2)6.8 (3)6.8 (2)15/15
lmm-CMA-ES auger noiseless 3.4 (0.8)4.8 (2)5.0 (1)5.0 (2)5.0 (1)5.0 (1)5.0 (1)15/15
IPOPsaACM loshchilov noiseless 4.3 (3)6.1 (2)6.2 (3)6.3 (2)6.3 (3)6.3 (3)6.3 (2)15/15
DTS5-CMA 2.4 (0.4)3.7 (1)4.2 (0.9)4.3 (1)4.3 (2)4.3 (1)4.3 (1)30/30
CMA-ES -061 4.0 (0.8)6.1 (1)6.3 (1)6.3 (0.9)6.3 (0.9)6.3 (2)6.3 (0.9)5/5

Δ fopt
f6, 5-D
1e1
114
1e0
214
1e-1
281
1e-2
404
1e-3
580
1e-5
1038
1e-7
1332
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.5 (1)2.1 (0.5)2.2 (0.3)2.0 (0.4)1.6 (0.3)1.2 (0.2)1.2 (0.1)15/15
lmm-CMA-ES auger noiseless 4.0 (4)4.3 (3)4.5 (2)3.9 (2)4.8 (5)5.4 (3)28040/15
IPOPsaACM loshchilov noiseless 2.3 (1)2.1 (0.3)2.6 (1)2.4 (0.9)1.9 (0.7)1.5 (0.7)1.7 (1)15/15
DTS5-CMA 2.2 (2)7.7 (7)14 (18)12510/30
CMA-ES -061 2.0 (2)1.9 (0.8)1.9 (0.7)1.8 (0.5)1.6 (0.3)1.2 (0.2)1.2 (0.2)5/5

Δ fopt
f7, 5-D
1e1
24
1e0
324
1e-1
1171
1e-2
1451
1e-3
1572
1e-5
1572
1e-7
1597
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.9 (2)0.87 (0.2)0.70 (0.6)0.68 (0.6)0.69 (0.3)0.69 (0.2)0.70 (0.7)15/15
lmm-CMA-ES auger noiseless 3.3 (1.0)0.92 (0.7)0.94 (0.8)0.91 (0.6)0.90 (0.6)0.90 (0.5)1.2 (1)13/15
IPOPsaACM loshchilov noiseless 3.7 (2)1.2 (0.3)0.68 (0.8)0.70 (0.7)0.77 (0.4)0.77 (0.9)0.90 (1)15/15
DTS5-CMA 1.5 (0.4)0.75 (0.9)0.58 (0.7)0.63 (0.5)0.68 (0.9)0.68 (0.7)0.85 (0.8)16/30
CMA-ES -061 2.9 (0.9)1.9 (1)0.74 (0.2)0.71 (0.2)0.68 (0.2)0.68 (0.3)0.69 (0.2)5/5

Δ fopt
f8, 5-D
1e1
73
1e0
273
1e-1
336
1e-2
372
1e-3
391
1e-5
410
1e-7
422
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.8 (1)3.0 (3)3.7 (5)3.8 (1)4.0 (2)4.2 (0.7)4.5 (3)15/15
lmm-CMA-ES auger noiseless 1.6 (0.4)1.7 (1)1.8 (0.9)1.8 (0.7)1.8 (1)1.8 (0.9)1.8 (1.0)15/15
IPOPsaACM loshchilov noiseless 2.3 (1)1.9 (2)2.0 (0.4)2.0 (2)2.0 (0.3)2.0 (0.3)2.1 (1)15/15
DTS5-CMA 1.2 (0.2)0.80 (0.9)0.85 (0.3)★20.86 (0.1)★20.86 (0.1)★20.89 (0.5)★20.92 (0.5)★230/30
CMA-ES -061 2.5 (1)2.4 (0.4)3.1 (0.2)3.4 (0.3)3.6 (0.3)3.8 (0.2)4.0 (0.2)5/5

Δ fopt
f9, 5-D
1e1
35
1e0
127
1e-1
214
1e-2
263
1e-3
300
1e-5
335
1e-7
369
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.4 (1)6.2 (2)5.7 (1)5.3 (1)5.0 (1.0)5.0 (1)4.9 (1)15/15
lmm-CMA-ES auger noiseless 2.7 (1)3.4 (0.6)2.6 (1)2.4 (1)2.2 (1)2.1 (1)1.9 (0.7)15/15
IPOPsaACM loshchilov noiseless 5.0 (2)3.1 (0.9)2.5 (0.9)2.3 (0.6)2.1 (0.6)2.0 (0.5)2.0 (0.4)15/15
DTS5-CMA 2.6 (0.9)2.0 (0.5)1.5 (1.0)1.4 (1)1.3 (0.6)★21.2 (0.6)★21.2 (1.0)★230/30
CMA-ES -061 3.7 (2)4.4 (2)4.2 (0.9)4.2 (1)4.1 (0.7)4.1 (0.7)4.2 (0.5)5/5

Δ fopt
f10, 5-D
1e1
349
1e0
500
1e-1
574
1e-2
607
1e-3
626
1e-5
829
1e-7
880
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.5 (0.7)2.2 (0.2)2.1 (0.3)2.1 (0.3)2.2 (0.3)1.8 (0.2)1.9 (0.2)15/15
lmm-CMA-ES auger noiseless 0.77 (0.4)0.67 (0.2)0.65 (0.1)0.65 (0.2)0.66 (0.1)0.54 (0.1)0.55 (0.0)15/15
IPOPsaACM loshchilov noiseless 0.77 (0.1)0.61 (0.1)0.57 (0.1)0.58 (0.1)0.60 (0.1)0.51 (0.1)0.53 (0.1)15/15
DTS5-CMA 0.41 (0.1)★20.33 (0.0)★20.31 (0.0)★20.31 (0.0)★20.33 (0.0)★20.28 (0.0)★20.29 (0.0)★230/30
CMA-ES -061 2.3 (0.5)1.8 (0.2)1.7 (0.2)1.8 (0.1)1.8 (0.2)1.6 (0.2)1.7 (0.2)5/5

Δ fopt
f11, 5-D
1e1
143
1e0
202
1e-1
763
1e-2
977
1e-3
1177
1e-5
1467
1e-7
1673
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.6 (0.5)4.7 (0.5)1.4 (0.1)1.2 (0.1)1.0 (0.1)0.95 (0.1)0.92 (0.1)15/15
lmm-CMA-ES auger noiseless 1.9 (0.2)1.8 (0.3)0.54 (0.1)0.45 (0.1)0.38 (0.1)0.34 (0.0)0.32 (0.1)15/15
IPOPsaACM loshchilov noiseless 2.0 (0.3)1.6 (0.3)0.46 (0.1)0.39 (0.1)0.34 (0.1)0.30 (0.1)0.29 (0.0)15/15
DTS5-CMA 0.83 (0.3)★20.75 (0.2)★20.21 (0.1)★20.18 (0.0)★20.16 (0.0)★20.15 (0.0)★20.14 (0.0)★230/30
CMA-ES -061 3.3 (0.9)2.9 (0.3)0.93 (0.1)0.81 (0.1)0.77 (0.1)0.72 (1e-2)0.73 (0.0)5/5

Δ fopt
f12, 5-D
1e1
108
1e0
268
1e-1
371
1e-2
413
1e-3
461
1e-5
1303
1e-7
1494
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 8.8 (5)5.9 (7)5.7 (5)6.0 (2)6.0 (2)2.6 (2)2.6 (2)15/15
lmm-CMA-ES auger noiseless 1.5 (1.0)1.3 (2)1.4 (2)1.6 (0.4)1.7 (2)0.92 (0.5)0.95 (0.7)13/15
IPOPsaACM loshchilov noiseless 3.8 (0.9)2.9 (3)2.8 (2)2.8 (3)2.8 (2)1.2 (0.9)1.2 (1)15/15
DTS5-CMA 1.6 (0.8)1.2 (0.7)1.3 (0.4)1.5 (1)1.7 (3)0.73 (1.0)0.78 (0.3)14/30
CMA-ES -061 6.2 (3)3.7 (2)4.2 (1)4.3 (1)4.4 (2)1.9 (0.8)1.9 (1)5/5

Δ fopt
f13, 5-D
1e1
132
1e0
195
1e-1
250
1e-2
319
1e-3
1310
1e-5
1752
1e-7
2255
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.0 (1)4.1 (2)4.2 (1.0)4.0 (0.2)1.2 (0.1)1.2 (0.2)1.1 (0.1)15/15
lmm-CMA-ES auger noiseless 1.3 (1)1.8 (0.9)1.7 (0.4)1.8 (0.4)0.50 (0.1)0.49 (0.1)0.57 (0.4)14/15
IPOPsaACM loshchilov noiseless 1.2 (0.3)1.1 (0.3)1.2 (0.3)1.2 (0.4)0.33 (0.1)0.35 (0.1)0.33 (0.1)15/15
DTS5-CMA 1.6 (0.6)1.4 (0.3)1.2 (2)1.1 (1)0.37 (0.1)0.37 (0.1)0.37 (0.1)26/30
CMA-ES -061 2.4 (0.4)3.3 (0.5)3.6 (0.9)3.8 (0.3)1.1 (0.1)0.99 (0.1)0.98 (0.0)5/5

Δ fopt
f14, 5-D
1e1
10
1e0
41
1e-1
58
1e-2
90
1e-3
139
1e-5
251
1e-7
476
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.5 (1)2.2 (1)3.2 (0.7)3.6 (1)3.6 (0.4)3.8 (0.5)2.9 (0.3)15/15
lmm-CMA-ES auger noiseless 0.61 (1)1.5 (0.4)1.6 (0.6)1.8 (0.6)1.9 (0.4)1.8 (0.1)1.4 (0.1)15/15
IPOPsaACM loshchilov noiseless 2.8 (2)2.4 (0.4)2.5 (0.3)2.4 (0.5)2.1 (0.3)1.8 (0.2)1.3 (0.1)15/15
DTS5-CMA 1.6 (1)1.1 (0.2)1.1 (0.1)★21.1 (0.2)★21.0 (0.2)★20.90 (0.1)★20.75 (0.0)★230/30
CMA-ES -061 0.78 (0.7)1.9 (1)3.0 (0.7)3.4 (0.2)3.2 (0.4)3.7 (0.1)2.6 (0.2)5/5

Δ fopt
f15, 5-D
1e1
511
1e0
9310
1e-1
19369
1e-2
19743
1e-3
20073
1e-5
20769
1e-7
21359
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 1.5 (3)0.89 (0.5)1.0 (0.9)1.0 (0.6)1.0 (0.5)1.0 (0.4)1.0 (0.4)15/15
lmm-CMA-ES auger noiseless 1.2 (1)1.1 (1)1.1 (1.0)2.1 (3)2.1 (4)2.0 (2)2.0 (3)1/15
IPOPsaACM loshchilov noiseless 1.6 (1)0.42 (0.4)0.72 (0.7)0.71 (0.4)0.71 (0.6)0.70 (0.5)0.69 (0.7)15/15
DTS5-CMA 0.62 (0.7)12590/30
CMA-ES -061 1.4 (2)0.73 (0.2)0.80 (0.8)0.79 (0.6)0.80 (0.7)0.80 (0.7)0.81 (0.7)5/5

Δ fopt
f16, 5-D
1e1
120
1e0
612
1e-1
2662
1e-2
10163
1e-3
10449
1e-5
11644
1e-7
12095
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.9 (3)2.4 (3)1.7 (3)0.56 (0.5)0.82 (1)0.84 (0.9)0.85 (0.9)15/15
lmm-CMA-ES auger noiseless 2.0 (2)2.1 (1)1.8 (1)0.70 (1.0)0.92 (0.6)1.1 (1)1.1 (1)3/15
IPOPsaACM loshchilov noiseless 3.1 (4)2.4 (3)1.0 (1)0.49 (0.5)0.52 (0.6)0.55 (0.6)0.55 (0.4)15/15
DTS5-CMA 2.9 (5)4.1 (3)2.1 (3)0.88 (2)0.86 (0.9)1.6 (0.8)1.5 (3)2/30
CMA-ES -061 1.3 (0.4)2.1 (3)1.4 (0.8)0.79 (0.6)0.79 (0.9)0.75 (0.9)0.75 (0.8)5/5

Δ fopt
f17, 5-D
1e1
5.0
1e0
215
1e-1
899
1e-2
2861
1e-3
3669
1e-5
6351
1e-7
7934
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.4 (5)0.89 (0.4)0.53 (0.2)0.59 (0.7)0.77 (0.6)1.00 (0.6)1.1 (0.7)15/15
lmm-CMA-ES auger noiseless 1.8 (1)0.51 (0.2)0.48 (0.8)0.47 (0.3)0.65 (1)1.2 (0.6)2.6 (5)1/15
IPOPsaACM loshchilov noiseless 5.1 (3)1.7 (0.4)1.1 (1)0.83 (0.7)0.85 (0.4)1.2 (0.6)1.4 (1)15/15
DTS5-CMA 3.4 (2)2.5 (2)3.4 (3)2.1 (4)12530/30
CMA-ES -061 1.9 (2)0.60 (0.4)0.40 (0.1)0.59 (0.5)0.68 (0.4)0.83 (0.4)0.89 (0.4)5/5

Δ fopt
f18, 5-D
1e1
103
1e0
378
1e-1
3968
1e-2
8451
1e-3
9280
1e-5
10905
1e-7
12469
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.5 (17)1.6 (5)0.70 (0.8)0.69 (0.5)0.77 (0.3)0.80 (0.2)0.84 (0.1)15/15
lmm-CMA-ES auger noiseless 0.52 (0.2)0.52 (0.2)0.38 (0.2)0.43 (0.6)1.4 (1)3.8 (7)28050/15
IPOPsaACM loshchilov noiseless 2.8 (0.6)1.5 (4)0.64 (0.5)0.79 (1)0.85 (0.4)1.0 (0.6)1.1 (0.4)15/15
DTS5-CMA 2.6 (6)4.9 (4)0.59 (0.7)12530/30
CMA-ES -061 0.80 (0.2)0.90 (0.2)0.78 (0.7)0.49 (0.3)0.56 (0.1)0.77 (0.3)0.87 (0.3)5/5

Δ fopt
f19, 5-D
1e1
1
1e0
1
1e-1
242
1e-2
1.0e5
1e-3
1.2e5
1e-5
1.2e5
1e-7
1.2e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 14 (14)1207 (1244)124 (101)0.84 (0.6)0.95 (1)0.96 (1.0)0.96 (0.8)15/15
lmm-CMA-ES auger noiseless 1 (0)1 (0)56 (67)28050/15
IPOPsaACM loshchilov noiseless 19 (9)1931 (1340)250 (264)1.2 (1)1.4 (0.8)1.4 (1)1.4 (1)15/15
DTS5-CMA 13 (13)203 (155)11 (15)0.18 (0.3)0.15 (0.2)0.15 (0.1)0.15 (0.2)2/30
CMA-ES -061 1 (0)1 (0)92 (33)0.88 (0.5)0.92 (0.6)0.92 (0.6)0.93 (0.6)5/5

Δ fopt
f20, 5-D
1e1
16
1e0
851
1e-1
38111
1e-2
51362
1e-3
54470
1e-5
54861
1e-7
55313
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 3.9 (2)10 (5)1.4 (2)1.1 (0.9)1.1 (1)1.1 (0.8)1.1 (1)15/15
lmm-CMA-ES auger noiseless 1.8 (1.0)15 (20)28140/15
IPOPsaACM loshchilov noiseless 2.4 (1)3.5 (3)1.6 (1)1.2 (1)1.2 (0.6)1.2 (0.9)1.2 (1)15/15
DTS5-CMA 1.6 (0.5)1.9 (3)12530/30
CMA-ES -061 3.0 (1)4.9 (5)2.0 (1)1.6 (1)1.5 (0.2)1.6 (0.9)1.6 (0.9)5/5

Δ fopt
f21, 5-D
1e1
41
1e0
1157
1e-1
1674
1e-2
1692
1e-3
1705
1e-5
1729
1e-7
1757
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 3.5 (1)7.3 (4)32 (121)33 (74)33 (61)33 (73)33 (21)14/15
lmm-CMA-ES auger noiseless 2.1 (3)1.3 (1)1.5 (1)1.5 (0.9)1.6 (2)1.9 (3)1.9 (2)8/15
IPOPsaACM loshchilov noiseless 2.9 (1)1.6 (1.0)28 (88)28 (3)28 (3)28 (1)27 (96)15/15
DTS5-CMA 2.4 (6)3.2 (2)5.0 (5)5.0 (3)5.0 (3)5.0 (8)5.0 (3)4/30
CMA-ES -061 1.4 (0.4)22 (0.5)18 (18)18 (43)18 (30)18 (10)18 (22)4/5

Δ fopt
f22, 5-D
1e1
71
1e0
386
1e-1
938
1e-2
980
1e-3
1008
1e-5
1040
1e-7
1068
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 8.8 (5)21 (31)65 (53)276 (377)270 (343)263 (404)256 (217)9/15
lmm-CMA-ES auger noiseless 2.5 (0.5)3.8 (6)13 (12)13 (20)12 (11)12 (23)12 (13)3/15
IPOPsaACM loshchilov noiseless 3.4 (0.4)12 (31)85 (281)115 (12)116 (240)113 (245)110 (280)15/15
DTS5-CMA 3.6 (6)6.0 (6)6.0 (5)5.8 (7)5.7 (4)5.6 (3)8.2 (11)4/30
CMA-ES -061 4.6 (9)12 (12)148 (416)141 (117)137 (229)133 (114)130 (218)2/5

Δ fopt
f23, 5-D
1e1
3.0
1e0
518
1e-1
14249
1e-2
27890
1e-3
31654
1e-5
33030
1e-7
34256
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.6 (0.7)20 (37)76 (211)39 (65)34 (56)33 (80)32 (25)8/15
lmm-CMA-ES auger noiseless 1.9 (2)10 (14)2.9 (2)1.5 (1)1.3 (1)1.3 (1.0)1.2 (2)1/15
IPOPsaACM loshchilov noiseless 2.1 (3)13 (24)8.8 (54)7.5 (0.4)6.6 (22)6.4 (21)6.2 (9)15/15
DTS5-CMA 1.3 (2)2.4 (2)0.65 (0.5)0.33 (0.2)0.59 (0.8)0.57 (0.4)12520/30
CMA-ES -061 2.1 (2)14 (9)3.2 (2)1.7 (2)1.5 (1)1.5 (1)1.5 (1)5/5

Δ fopt
f24, 5-D
1e1
1622
1e0
2.2e5
1e-1
6.4e6
1e-2
9.6e6
1e-3
9.6e6
1e-5
1.3e7
1e-7
1.3e7
#succ
3/15
IPOP-ACTCMA-ES ros noiseless 2.6 (1)41 (62)1e60/15
lmm-CMA-ES auger noiseless 0.88 (0.8)28060/15
IPOPsaACM loshchilov noiseless 1.9 (2)42 (77)11 (11)5e60/15
DTS5-CMA 0.33 (0.5)12530/30
CMA-ES -061 1.8 (2)7.5 (6)4e50/5

Previous dimension | Dimension = 10 | Next dimension

Δ fopt
f1, 10-D
1e1
22
1e0
23
1e-1
23
1e-2
23
1e-3
23
1e-5
23
1e-7
23
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6.2 (2)12 (2)19 (2)26 (3)32 (2)44 (3)58 (2)15/15
lmm-CMA-ES auger noiseless 3.2 (0.8)3.9 (0.1)4.6 (0.3)5.2 (0.2)5.7 (0.3)7.1 (0.1)8.4 (0.5)15/15
IPOPsaACM loshchilov noiseless 4.6 (1)6.1 (0.4)7.3 (0.7)9.0 (0.9)11 (0.9)14 (1)17 (1)15/15
DTS5-CMA 2.7 (0.5)3.9 (0.4)5.3 (0.5)6.5 (0.6)7.8 (0.4)10 (0.5)13 (0.8)30/30
CMA-ES -061 4.9 (2)12 (2)18 (5)24 (4)31 (3)42 (3)57 (6)5/5

Δ fopt
f2, 10-D
1e1
187
1e0
190
1e-1
191
1e-2
191
1e-3
193
1e-5
194
1e-7
195
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 14 (2)16 (4)18 (1)19 (1)20 (1)21 (1)23 (2)15/15
lmm-CMA-ES auger noiseless 4.8 (1)5.5 (1)6.0 (0.7)6.3 (0.5)6.5 (0.4)7.0 (1.0)7.5 (1.0)15/15
IPOPsaACM loshchilov noiseless 4.1 (0.7)4.4 (0.8)4.7 (0.8)5.0 (0.8)5.3 (0.8)5.7 (0.8)6.1 (0.5)15/15
DTS5-CMA 2.9 (0.5)★23.4 (0.4)★23.7 (0.3)★23.9 (0.4)★24.0 (0.3)★24.3 (0.1)★24.6 (0.3)★230/30
CMA-ES -061 13 (1)15 (1)16 (0.9)17 (1)18 (1.0)19 (1)21 (1)5/5

Δ fopt
f3, 10-D
1e1
1739
1e0
3600
1e-1
3609
1e-2
3636
1e-3
3642
1e-5
3646
1e-7
3651
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.6 (3)643 (1265)2678 (900)2659 (2382)2655 (5611)2654 (2405)2651 (2649)2/15
lmm-CMA-ES auger noiseless 2.0 (2)48080/15
IPOPsaACM loshchilov noiseless 2.3 (1)174 (336)7894 (7386)7835 (6877)7823 (5892)7814 (1e4)7804 (8220)4/14
DTS5-CMA 1.9 (2)25060/30
CMA-ES -061 5.6 (2)3e50/5

Δ fopt
f4, 10-D
1e1
2234
1e0
3626
1e-1
3660
1e-2
3695
1e-3
3707
1e-5
3744
1e-7
28767
#succ
12/15
IPOP-ACTCMA-ES ros noiseless 7.6 (4)1e60/15
lmm-CMA-ES auger noiseless 10 (10)48130/15
IPOPsaACM loshchilov noiseless 5.6 (5)1e70/5
DTS5-CMA 25050/30
CMA-ES -061 6.3 (3)3e50/5

Δ fopt
f5, 10-D
1e1
20
1e0
20
1e-1
20
1e-2
20
1e-3
20
1e-5
20
1e-7
20
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.3 (2)6.7 (2)6.9 (2)6.9 (2)6.9 (1)6.9 (2)6.9 (2)15/15
lmm-CMA-ES auger noiseless 5.2 (0.9)6.2 (3)6.5 (1)6.5 (1)6.5 (3)6.5 (3)6.5 (1)15/15
IPOPsaACM loshchilov noiseless 5.0 (1)6.2 (0.9)6.2 (0.9)6.3 (0.9)6.3 (0.5)6.3 (1)6.3 (1)15/15
DTS5-CMA 4.3 (2)7.7 (2)10 (2)10 (2)10 (2)10 (0.8)10 (2)30/30
CMA-ES -061 5.2 (1)6.0 (1)6.5 (0.8)6.5 (2)6.5 (1)6.5 (2)6.5 (0.8)5/5

Δ fopt
f6, 10-D
1e1
412
1e0
623
1e-1
826
1e-2
1039
1e-3
1292
1e-5
1841
1e-7
2370
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.8 (0.6)1.9 (0.4)1.8 (0.1)1.8 (0.2)1.7 (0.2)1.6 (0.1)1.6 (0.1)15/15
lmm-CMA-ES auger noiseless 5.5 (2)17 (29)48040/15
IPOPsaACM loshchilov noiseless 1.7 (0.7)1.8 (0.7)1.9 (0.5)1.9 (0.5)1.8 (0.6)1.8 (0.3)1.8 (0.2)15/15
DTS5-CMA 21 (24)25010/30
CMA-ES -061 1.7 (0.3)1.8 (0.2)1.7 (0.1)1.8 (0.2)1.7 (0.1)1.6 (0.1)1.6 (0.1)5/5

Δ fopt
f7, 10-D
1e1
172
1e0
1611
1e-1
4195
1e-2
5099
1e-3
5141
1e-5
5141
1e-7
5389
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.7 (3)1.2 (0.6)0.75 (0.5)0.77 (0.4)0.77 (0.3)0.77 (0.4)0.75 (0.4)15/15
lmm-CMA-ES auger noiseless 1.1 (0.5)1.7 (3)2.8 (2)4.4 (4)4.4 (4)4.4 (5)4.2 (5)2/15
IPOPsaACM loshchilov noiseless 1.8 (2)1.00 (0.3)0.70 (0.1)0.68 (0.3)0.69 (0.4)0.69 (0.4)0.72 (0.4)15/15
DTS5-CMA 0.69 (0.1)★20.80 (0.6)0.94 (0.7)1.4 (1.0)1.4 (2)1.4 (1)1.3 (1)6/30
CMA-ES -061 1.5 (0.2)1.3 (1.0)0.99 (0.3)0.89 (0.3)0.88 (0.3)0.88 (0.3)0.86 (0.3)5/5

Δ fopt
f8, 10-D
1e1
326
1e0
921
1e-1
1114
1e-2
1217
1e-3
1267
1e-5
1315
1e-7
1343
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.7 (3)4.4 (3)4.4 (0.6)4.3 (0.9)4.3 (0.5)4.4 (0.4)4.6 (1)15/15
lmm-CMA-ES auger noiseless 1.2 (0.1)1.5 (0.4)1.5 (0.2)1.4 (0.3)1.4 (0.1)1.5 (0.1)1.5 (0.3)15/15
IPOPsaACM loshchilov noiseless 1.3 (0.7)2.0 (1)1.9 (0.9)1.9 (1)1.8 (1)1.8 (0.6)1.9 (1)15/15
DTS5-CMA 0.94 (0.1)1.2 (0.2)1.2 (0.1)1.1 (0.7)1.1 (0.1)1.2 (0.1)1.2 (0.6)28/30
CMA-ES -061 1.5 (0.1)3.2 (0.7)3.3 (0.6)3.3 (0.5)3.4 (0.4)3.5 (0.4)3.7 (0.2)5/5

Δ fopt
f9, 10-D
1e1
200
1e0
648
1e-1
857
1e-2
993
1e-3
1065
1e-5
1138
1e-7
1185
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.1 (5)5.2 (1)4.8 (0.4)4.5 (0.7)4.4 (0.7)4.4 (0.6)4.5 (0.9)15/15
lmm-CMA-ES auger noiseless 1.6 (0.2)2.1 (0.7)1.9 (0.6)1.9 (0.4)1.8 (0.3)1.8 (0.4)1.8 (0.3)14/15
IPOPsaACM loshchilov noiseless 1.6 (0.2)2.0 (2)1.8 (0.8)1.7 (0.1)1.6 (0.2)1.6 (0.2)1.6 (0.7)15/15
DTS5-CMA 1.5 (0.7)2.0 (3)1.7 (0.3)1.6 (0.7)1.5 (0.2)1.5 (0.7)1.5 (0.7)26/30
CMA-ES -061 2.6 (0.8)5.1 (1)4.8 (0.7)4.5 (0.8)4.4 (0.9)4.4 (0.4)4.5 (0.7)5/5

Δ fopt
f10, 10-D
1e1
1835
1e0
2172
1e-1
2455
1e-2
2728
1e-3
2802
1e-5
4543
1e-7
4739
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.5 (0.3)1.4 (0.2)1.4 (0.1)1.3 (0.1)1.3 (0.1)0.89 (0.0)0.91 (0.1)15/15
lmm-CMA-ES auger noiseless 0.49 (0.1)0.50 (0.1)0.48 (0.1)0.46 (0.0)0.47 (0.0)0.31 (0.0)0.32 (0.0)15/15
IPOPsaACM loshchilov noiseless 0.41 (0.1)0.40 (0.1)0.38 (0.0)0.36 (0.1)0.36 (0.0)0.25 (0.0)0.25 (0.0)15/15
DTS5-CMA 0.30 (0.0)★20.32 (0.0)★20.31 (0.0)★20.29 (0.0)★20.30 (0.0)★20.20 (0.0)★20.20 (0.0)★230/30
CMA-ES -061 1.2 (0.3)1.2 (0.2)1.3 (0.2)1.2 (0.2)1.2 (0.2)0.82 (0.1)0.85 (0.1)5/5

Δ fopt
f11, 10-D
1e1
266
1e0
1041
1e-1
2602
1e-2
2954
1e-3
3338
1e-5
4092
1e-7
4843
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 7.0 (0.5)2.0 (0.2)0.89 (0.0)0.84 (0.1)0.80 (0.0)0.73 (0.0)0.68 (0.0)15/15
lmm-CMA-ES auger noiseless 2.9 (0.6)0.85 (0.1)0.38 (0.0)0.36 (0.0)0.33 (0.0)0.30 (0.0)0.27 (0.0)15/15
IPOPsaACM loshchilov noiseless 2.8 (0.4)0.76 (0.1)0.33 (0.0)0.30 (0.0)0.28 (0.0)0.25 (0.0)0.23 (0.0)15/15
DTS5-CMA 1.7 (0.2)★20.51 (0.0)★20.22 (0.0)★20.21 (0.0)★20.20 (9e-3)★20.18 (0.0)★20.16 (7e-3)★230/30
CMA-ES -061 5.2 (0.3)1.6 (0.2)0.70 (0.1)0.68 (0.1)0.65 (1e-2)0.61 (0.0)0.58 (0.0)5/5

Δ fopt
f12, 10-D
1e1
515
1e0
896
1e-1
1240
1e-2
1390
1e-3
1569
1e-5
3660
1e-7
5154
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.3 (2)3.4 (3)3.7 (2)4.0 (3)4.1 (2)2.3 (0.8)1.9 (0.8)15/15
lmm-CMA-ES auger noiseless 0.86 (0.4)1.0 (0.4)1.3 (1)1.5 (1)1.7 (2)1.1 (0.9)1.1 (0.7)10/15
IPOPsaACM loshchilov noiseless 0.97 (0.1)1.0 (1)1.1 (0.8)1.3 (0.7)1.4 (0.8)0.82 (0.4)0.69 (0.3)15/15
DTS5-CMA 1.0 (0.9)1.2 (2)1.3 (1)1.4 (1)1.5 (2)1.1 (0.7)1.4 (0.8)6/30
CMA-ES -061 1.8 (0.1)2.1 (1)2.0 (2)2.9 (1)3.2 (0.9)1.9 (0.8)1.6 (0.5)5/5

Δ fopt
f13, 10-D
1e1
387
1e0
596
1e-1
797
1e-2
1014
1e-3
4587
1e-5
6208
1e-7
7779
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.4 (1)3.5 (1)3.2 (2)3.3 (1)1.00 (0.2)1.0 (0.4)1.1 (0.4)15/15
lmm-CMA-ES auger noiseless 1.1 (0.2)1.3 (0.3)1.4 (0.2)1.2 (0.2)0.32 (0.1)0.32 (0.1)0.32 (0.1)14/15
IPOPsaACM loshchilov noiseless 0.96 (1)1.4 (1)1.3 (1.0)1.3 (0.6)0.32 (0.1)0.31 (0.1)0.31 (0.1)15/15
DTS5-CMA 0.73 (0.3)1.2 (0.5)1.2 (0.9)1.0 (0.6)0.28 (0.1)0.63 (0.6)1.1 (1.0)6/30
CMA-ES -061 2.1 (0.8)3.4 (2)2.9 (1)3.2 (0.8)0.79 (0.2)1.0 (0.0)1.00 (0.4)5/5

Δ fopt
f14, 10-D
1e1
37
1e0
98
1e-1
133
1e-2
205
1e-3
392
1e-5
687
1e-7
4305
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.1 (1)2.8 (1.0)3.7 (0.4)3.8 (0.4)3.1 (0.3)3.5 (0.2)0.84 (0.1)15/15
lmm-CMA-ES auger noiseless 0.93 (0.9)1.9 (0.4)2.1 (0.5)2.1 (0.3)1.7 (0.3)1.7 (0.2)0.40 (0.0)15/15
IPOPsaACM loshchilov noiseless 2.2 (2)2.3 (0.4)2.4 (0.5)2.2 (0.3)1.6 (0.2)1.5 (0.1)0.31 (0.0)15/15
DTS5-CMA 1.3 (0.3)1.3 (0.3)★21.4 (0.2)★21.4 (0.2)★21.1 (0.1)★21.1 (0.1)★20.29 (0.1)22/30
CMA-ES -061 1.5 (1)2.9 (0.6)3.6 (0.5)3.8 (0.5)3.1 (0.3)3.3 (0.4)0.79 (0.1)5/5

Δ fopt
f15, 10-D
1e1
4774
1e0
39246
1e-1
73643
1e-2
74669
1e-3
75790
1e-5
77814
1e-7
79834
#succ
12/15
IPOP-ACTCMA-ES ros noiseless 0.91 (0.6)1.0 (0.6)0.83 (0.7)0.84 (0.7)0.84 (0.2)0.85 (0.7)0.86 (0.8)15/15
lmm-CMA-ES auger noiseless 0.47 (0.5)48170/15
IPOPsaACM loshchilov noiseless 0.90 (0.8)0.72 (0.5)0.76 (0.7)0.75 (0.9)0.74 (0.9)0.73 (0.6)0.73 (0.9)15/15
DTS5-CMA 0.36 (0.5)25060/30
CMA-ES -061 1.3 (0.5)0.78 (0.4)0.70 (0.2)0.70 (0.2)0.71 (0.2)0.72 (0.1)0.73 (0.1)5/5

Δ fopt
f16, 10-D
1e1
425
1e0
7029
1e-1
15779
1e-2
45669
1e-3
51151
1e-5
65798
1e-7
71570
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.6 (0.8)0.95 (0.8)1.2 (1.0)0.84 (1)1.1 (1.0)0.92 (1)0.87 (1)15/15
lmm-CMA-ES auger noiseless 1.3 (0.8)0.53 (0.5)0.80 (0.6)1.6 (2)48050/15
IPOPsaACM loshchilov noiseless 2.5 (0.8)0.67 (0.6)0.72 (0.4)0.39 (0.2)0.44 (0.2)0.36 (0.3)0.34 (0.3)15/15
DTS5-CMA 0.37 (0.2)★20.42 (0.8)25030/30
CMA-ES -061 2.3 (0.9)0.79 (0.9)1.0 (0.1)0.43 (0.1)0.44 (0.1)0.40 (0.1)0.38 (0.1)5/5

Δ fopt
f17, 10-D
1e1
26
1e0
429
1e-1
2203
1e-2
6329
1e-3
9851
1e-5
20190
1e-7
26503
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.4 (2)1.2 (0.4)1.8 (3)1.2 (1.0)1.3 (0.8)1.0 (0.3)1.0 (0.4)15/15
lmm-CMA-ES auger noiseless 0.64 (0.6)0.75 (0.2)0.55 (0.9)0.83 (1)6.9 (7)48100/15
IPOPsaACM loshchilov noiseless 2.4 (2)1.1 (0.3)1.1 (1)1.0 (0.8)1.2 (0.6)1.2 (0.4)1.4 (0.6)15/15
DTS5-CMA 1.5 (0.9)1.9 (3)5.2 (5)5.8 (11)25020/30
CMA-ES -061 0.74 (0.8)1.0 (0.1)0.49 (0.1)0.88 (0.6)0.78 (0.3)0.84 (0.5)0.85 (0.3)5/5

Δ fopt
f18, 10-D
1e1
238
1e0
836
1e-1
7012
1e-2
15928
1e-3
27536
1e-5
37234
1e-7
42708
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.2 (0.3)1.6 (0.4)0.82 (0.8)0.97 (0.6)0.78 (0.4)0.80 (0.4)0.88 (0.3)15/15
lmm-CMA-ES auger noiseless 0.70 (0.2)0.63 (0.1)0.86 (0.5)4.3 (6)48080/15
IPOPsaACM loshchilov noiseless 1.3 (0.3)1.2 (0.3)1.6 (1)0.92 (0.4)0.75 (0.6)1.0 (0.3)1.3 (0.4)15/15
DTS5-CMA 0.94 (2)4.7 (4)25020/30
CMA-ES -061 0.75 (0.1)0.86 (0.3)1.2 (2)1.1 (0.4)0.79 (0.1)0.70 (0.2)0.66 (0.1)5/5

Δ fopt
f19, 10-D
1e1
1
1e0
1
1e-1
10609
1e-2
9.8e5
1e-3
1.4e6
1e-5
1.4e6
1e-7
1.4e6
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 68 (32)9042 (4482)10 (10)0.61 (0.3)0.53 (0.3)0.53 (0.3)0.54 (0.4)15/15
lmm-CMA-ES auger noiseless 1 (0)1 (0)48050/15
IPOPsaACM loshchilov noiseless 60 (48)1.8e4 (5698)9.3 (8)0.55 (0.4)0.49 (0.2)0.49 (0.3)0.49 (0.3)15/15
DTS5-CMA 43 (9)755 (780)3.4 (5)25020/30
CMA-ES -061 1 (0)1 (0)13 (4)0.57 (0.1)0.42 (0.1)0.42 (0.1)0.42 (0.1)5/5

Δ fopt
f20, 10-D
1e1
32
1e0
15426
1e-1
5.5e5
1e-2
5.7e5
1e-3
5.7e5
1e-5
5.8e5
1e-7
5.9e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.3 (2)2.3 (2)0.84 (0.3)0.86 (0.4)0.87 (0.3)0.88 (0.4)0.89 (0.4)15/15
lmm-CMA-ES auger noiseless 3.3 (0.8)48170/15
IPOPsaACM loshchilov noiseless 4.3 (0.9)0.86 (0.8)0.74 (0.4)0.76 (0.4)0.75 (0.4)0.75 (0.3)0.74 (0.4)15/15
DTS5-CMA 2.3 (0.4)2.3 (1)25030/30
CMA-ES -061 2.3 (0.6)2.3 (0.8)0.84 (0.5)0.83 (0.6)0.83 (0.6)0.83 (1)0.83 (1.0)3/5

Δ fopt
f21, 10-D
1e1
130
1e0
2236
1e-1
4392
1e-2
4487
1e-3
4618
1e-5
5074
1e-7
11329
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.6 (9)31 (226)58 (192)57 (75)55 (5)50 (64)23 (45)11/15
lmm-CMA-ES auger noiseless 3.2 (10)2.1 (2)1.4 (2)1.4 (1)1.4 (1)1.3 (0.9)0.66 (0.6)7/15
IPOPsaACM loshchilov noiseless 2.5 (2)15 (37)48 (62)47 (110)46 (105)42 (21)19 (36)15/15
DTS5-CMA 3.3 (4)4.6 (12)25110/30
CMA-ES -061 1.7 (1)20 (77)29 (31)29 (31)28 (115)26 (27)12 (21)3/5

Δ fopt
f22, 10-D
1e1
98
1e0
2839
1e-1
6353
1e-2
6620
1e-3
6798
1e-5
8296
1e-7
10351
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 44 (16)203 (277)663 (730)636 (344)620 (821)508 (455)407 (276)2/15
lmm-CMA-ES auger noiseless 2.5 (0.5)1.6 (2)11 (12)10 (7)10 (7)8.3 (12)6.7 (7)1/15
IPOPsaACM loshchilov noiseless 119 (787)175 (375)1652 (3265)1585 (1837)1544 (1722)1265 (1925)1014 (531)9/15
DTS5-CMA 10 (7)5.8 (2)5.6 (3)5.4 (3)5.2 (6)4.3 (4)3.5 (4)2/30
CMA-ES -061 15 (17)106 (52)2e50/5

Δ fopt
f23, 10-D
1e1
3.0
1e0
915
1e-1
16425
1e-2
1.8e5
1e-3
2.0e5
1e-5
2.1e5
1e-7
2.1e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.6 (1)458 (464)2e60/15
lmm-CMA-ES auger noiseless 1.7 (1)38 (35)48090/15
IPOPsaACM loshchilov noiseless 2.3 (3)199 (337)429 (293)126 (160)114 (98)111 (122)108 (103)5/15
DTS5-CMA 1.9 (2)0.95 (1)★225020/30
CMA-ES -061 2.5 (1)7.9 (7)13 (5)25 (42)23 (50)22 (13)22 (16)1/5

Δ fopt
f24, 10-D
1e1
98761
1e0
1.0e6
1e-1
7.5e7
1e-2
7.5e7
1e-3
7.5e7
1e-5
7.5e7
1e-7
7.5e7
#succ
1/15
IPOP-ACTCMA-ES ros noiseless 50 (62)33 (47)2e60/15
lmm-CMA-ES auger noiseless 0.70 (1)48050/15
IPOPsaACM loshchilov noiseless 72 (69)17 (31)1e70/15
DTS5-CMA 0.11 (0.1)★225040/30
CMA-ES -061 1.6 (3)7e50/5

Previous dimension | Dimension = 20 | Next dimension

Δ fopt
f1, 20-D
1e1
43
1e0
43
1e-1
43
1e-2
43
1e-3
43
1e-5
43
1e-7
43
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 7.9 (1)14 (1)20 (1)27 (1)33 (2)45 (2)58 (2)15/15
lmm-CMA-ES auger noiseless 5.6 (0.2)6.3 (0.2)6.8 (0.1)7.3 (0.1)7.8 (0.2)8.9 (0.3)10 (0.3)15/15
IPOPsaACM loshchilov noiseless 3.9 (0.1)5.0 (0.4)6.5 (0.3)7.8 (0.6)9.5 (0.7)13 (1)16 (0.5)15/15
DTS5-CMA 3.3 (0.3)★25.2 (0.5)7.0 (0.6)9.0 (0.5)11 (0.6)15 (0.6)19 (0.6)30/30
CMA-ES -061 7.3 (2)13 (1.0)20 (0.4)26 (1)32 (1)45 (2)59 (4)5/5

Δ fopt
f2, 20-D
1e1
385
1e0
386
1e-1
387
1e-2
388
1e-3
390
1e-5
391
1e-7
393
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 22 (4)27 (2)29 (3)30 (1)31 (3)33 (0.8)34 (1)15/15
lmm-CMA-ES auger noiseless 8.4 (2)11 (2)12 (2)12 (1)13 (0.8)14 (1)15 (2)15/15
IPOPsaACM loshchilov noiseless 7.3 (1.0)8.3 (1)8.9 (0.9)9.2 (2)9.5 (1)10 (1)10 (1.0)15/15
DTS5-CMA 7.0 (0.7)8.4 (0.7)9.2 (0.8)10 (0.8)10 (0.6)10 (0.5)11 (0.5)30/30
CMA-ES -061 24 (1.0)28 (2)29 (2)30 (0.9)31 (0.7)33 (0.9)34 (0.8)5/5

Δ fopt
f3, 20-D
1e1
5066
1e0
7626
1e-1
7635
1e-2
7637
1e-3
7643
1e-5
7646
1e-7
7651
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 10 (5)3e60/15
lmm-CMA-ES auger noiseless 88040/15
IPOPsaACM loshchilov noiseless 11 (8)2e70/5
DTS5-CMA 50060/30
CMA-ES -061 9.1 (7)7e50/5

Δ fopt
f4, 20-D
1e1
4722
1e0
7628
1e-1
7666
1e-2
7686
1e-3
7700
1e-5
7758
1e-7
1.4e5
#succ
9/15
IPOP-ACTCMA-ES ros noiseless 3e60/15
lmm-CMA-ES auger noiseless 88130/15
IPOPsaACM loshchilov noiseless 1.9e4 (2e4)2e70/5
DTS5-CMA 50030/30
CMA-ES -061 7e50/5

Δ fopt
f5, 20-D
1e1
41
1e0
41
1e-1
41
1e-2
41
1e-3
41
1e-5
41
1e-7
41
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.0 (0.9)6.1 (1)6.1 (1)6.2 (1)6.2 (1)6.2 (1)6.2 (0.8)15/15
lmm-CMA-ES auger noiseless 5.0 (1)5.9 (0.8)6.1 (0.5)6.1 (0.9)6.1 (1)6.1 (1)6.1 (1)15/15
IPOPsaACM loshchilov noiseless 4.5 (0.6)5.0 (1)5.2 (0.4)5.2 (1)5.2 (1)5.2 (1)5.2 (1)15/15
DTS5-CMA 8.0 (3)14 (6)18 (5)21 (5)21 (11)21 (5)21 (5)30/30
CMA-ES -061 5.3 (0.9)6.0 (0.1)6.1 (1)6.1 (1)6.1 (0.8)6.1 (0.2)6.1 (1)5/5

Δ fopt
f6, 20-D
1e1
1296
1e0
2343
1e-1
3413
1e-2
4255
1e-3
5220
1e-5
6728
1e-7
8409
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.6 (0.3)1.3 (0.2)1.1 (0.1)1.1 (0.2)1.1 (0.2)1.1 (0.1)1.1 (0.1)15/15
lmm-CMA-ES auger noiseless 18 (32)56 (67)88040/15
IPOPsaACM loshchilov noiseless 1.5 (0.3)1.2 (0.2)1.1 (0.2)1.1 (0.2)1.1 (0.1)1.2 (0.2)1.3 (0.3)15/15
DTS5-CMA 50020/30
CMA-ES -061 1.6 (0.1)1.4 (0.2)1.2 (0.3)1.2 (0.2)1.2 (0.2)1.2 (0.1)1.1 (0.1)5/5

Δ fopt
f7, 20-D
1e1
1351
1e0
4274
1e-1
9503
1e-2
16523
1e-3
16524
1e-5
16524
1e-7
16969
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.6 (2)2.7 (0.9)1.6 (0.5)0.99 (0.3)0.99 (0.3)0.99 (0.3)1.0 (0.3)15/15
lmm-CMA-ES auger noiseless 0.48 (0.1)88190/15
IPOPsaACM loshchilov noiseless 1.0 (1)1.6 (0.5)0.92 (0.6)0.66 (0.3)0.66 (0.4)0.66 (0.1)0.65 (0.3)15/15
DTS5-CMA 2.3 (1)17 (24)7.8 (12)50030/30
CMA-ES -061 1.3 (2)2.9 (1)1.5 (0.6)0.96 (0.4)0.96 (0.1)0.96 (0.2)0.94 (0.1)5/5

Δ fopt
f8, 20-D
1e1
2039
1e0
3871
1e-1
4040
1e-2
4148
1e-3
4219
1e-5
4371
1e-7
4484
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.5 (0.6)3.5 (2)3.7 (0.5)3.8 (1)3.9 (1)3.9 (1)4.0 (1)15/15
lmm-CMA-ES auger noiseless 1.7 (0.8)2.1 (0.8)2.2 (1)2.2 (1)2.2 (1)2.2 (0.1)2.2 (2)12/15
IPOPsaACM loshchilov noiseless 1.4 (0.2)1.3 (0.1)1.4 (0.1)1.4 (0.1)1.4 (0.1)1.4 (0.1)1.4 (0.1)15/15
DTS5-CMA 1.2 (0.3)1.2 (0.4)★22.1 (3)2.8 (2)4.2 (4)5.5 (6)5.4 (4)4/30
CMA-ES -061 3.5 (0.8)3.4 (0.3)3.6 (0.6)3.7 (0.5)3.8 (0.3)3.8 (0.2)3.9 (0.5)5/5

Δ fopt
f9, 20-D
1e1
1716
1e0
3102
1e-1
3277
1e-2
3379
1e-3
3455
1e-5
3594
1e-7
3727
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.1 (0.4)4.6 (0.5)4.9 (4)5.0 (3)5.0 (0.3)5.0 (2)5.0 (0.3)15/15
lmm-CMA-ES auger noiseless 2.1 (0.1)2.1 (0.2)2.2 (0.3)2.2 (0.2)2.4 (2)2.4 (0.2)2.7 (1)12/15
IPOPsaACM loshchilov noiseless 1.6 (0.4)1.8 (1)1.9 (0.8)1.9 (1)1.9 (1)1.9 (0.6)1.9 (0.1)15/15
DTS5-CMA 1.4 (0.3)1.5 (0.2)2.0 (0.7)3.1 (3)7.1 (6)6.9 (8)20 (17)0/30
CMA-ES -061 4.2 (0.8)5.4 (2)5.6 (3)5.7 (2)5.7 (0.3)5.7 (3)5.7 (3)5/5

Δ fopt
f10, 20-D
1e1
7413
1e0
8661
1e-1
10735
1e-2
13641
1e-3
14920
1e-5
17073
1e-7
17476
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.2 (0.1)1.2 (0.1)1.0 (0.1)0.85 (0.0)0.80 (0.0)0.73 (0.0)0.75 (0.0)15/15
lmm-CMA-ES auger noiseless 0.46 (0.1)0.47 (0.1)0.41 (0.1)0.34 (0.0)0.33 (0.0)0.31 (0.0)0.32 (0.0)15/15
IPOPsaACM loshchilov noiseless 0.35 (0.1)0.36 (0.0)0.31 (0.0)0.26 (0.0)0.24 (0.0)0.22 (0.0)0.23 (0.0)15/15
DTS5-CMA 0.36 (0.1)0.37 (0.1)0.33 (0.0)0.28 (0.0)0.26 (0.0)0.24 (0.0)0.24 (0.0)30/30
CMA-ES -061 1.1 (0.1)1.1 (0.1)1.0 (0.1)0.87 (0.0)0.83 (0.0)0.76 (0.0)0.77 (0.0)5/5

Δ fopt
f11, 20-D
1e1
1002
1e0
2228
1e-1
6278
1e-2
8586
1e-3
9762
1e-5
12285
1e-7
14831
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.5 (0.2)2.3 (0.1)0.87 (0.0)0.68 (0.0)0.64 (0.0)0.56 (0.0)0.50 (0.0)15/15
lmm-CMA-ES auger noiseless 2.1 (0.2)1.1 (0.1)0.43 (0.0)0.33 (0.0)0.31 (0.1)0.28 (0.0)0.25 (0.0)15/15
IPOPsaACM loshchilov noiseless 2.5 (0.4)1.2 (0.2)0.45 (0.1)0.34 (0.1)0.31 (0.0)0.26 (0.1)0.23 (0.1)15/15
DTS5-CMA 1.6 (0.3)★20.88 (0.1)★20.34 (0.0)★20.27 (0.0)★20.25 (0.0)★20.22 (0.0)★20.20 (0.0)30/30
CMA-ES -061 4.5 (0.2)2.3 (0.1)0.87 (0.0)0.68 (0.0)0.63 (5e-3)0.55 (3e-3)0.50 (1e-2)5/5

Δ fopt
f12, 20-D
1e1
1042
1e0
1938
1e-1
2740
1e-2
3156
1e-3
4140
1e-5
12407
1e-7
13827
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.6 (0.1)3.0 (3)3.2 (2)3.4 (2)3.1 (2)1.3 (0.4)1.4 (0.3)15/15
lmm-CMA-ES auger noiseless 1.1 (0.1)1.1 (0.5)1.3 (0.9)1.4 (0.8)1.7 (1)0.92 (0.7)2.2 (2)4/15
IPOPsaACM loshchilov noiseless 0.67 (0.1)0.88 (0.8)1.1 (0.9)1.2 (0.8)1.2 (0.3)0.56 (0.1)0.60 (0.2)15/15
DTS5-CMA 1.2 (0.1)1.2 (1)1.7 (1)1.7 (2)1.9 (2)1.9 (3)5.4 (4)2/30
CMA-ES -061 2.0 (0.1)2.4 (0.1)3.2 (2)3.6 (1)3.2 (0.2)1.4 (0.5)1.5 (0.4)5/5

Δ fopt
f13, 20-D
1e1
652
1e0
2021
1e-1
2751
1e-2
3507
1e-3
18749
1e-5
24455
1e-7
30201
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.6 (3)3.4 (2)3.7 (1)3.4 (2)0.80 (0.2)1.3 (0.6)1.3 (1.0)15/15
lmm-CMA-ES auger noiseless 2.0 (0.2)1.0 (0.1)0.99 (0.1)0.94 (0.1)0.22 (0.0)0.21 (0.0)0.21 (0.0)15/15
IPOPsaACM loshchilov noiseless 1.7 (1)1.7 (1)1.5 (0.8)1.5 (1)0.34 (0.2)0.37 (0.1)0.41 (0.1)15/15
DTS5-CMA 1.1 (1)2.6 (5)5.9 (4)6.8 (13)3.9 (5)3.0 (3)50030/30
CMA-ES -061 2.6 (1)2.9 (2)3.1 (2)3.1 (2)1.1 (0.6)0.98 (0.6)0.89 (0.5)5/5

Δ fopt
f14, 20-D
1e1
75
1e0
239
1e-1
304
1e-2
451
1e-3
932
1e-5
1648
1e-7
15661
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 3.6 (0.8)2.7 (0.2)3.5 (0.1)4.0 (0.3)3.2 (0.2)3.9 (0.2)0.67 (0.0)15/15
lmm-CMA-ES auger noiseless 3.0 (1)2.2 (0.3)2.8 (0.3)3.0 (0.3)2.1 (0.1)2.2 (0.1)0.35 (0.0)15/15
IPOPsaACM loshchilov noiseless 3.0 (0.6)1.8 (0.2)1.9 (0.3)2.0 (0.2)1.4 (0.1)1.4 (0.1)0.23 (0.0)15/15
DTS5-CMA 2.5 (0.5)1.6 (0.3)1.7 (0.3)1.8 (0.3)1.5 (0.1)1.8 (0.2)4.7 (2)0/30
CMA-ES -061 2.8 (1)2.3 (0.3)3.2 (0.4)3.9 (0.5)3.1 (0.3)3.9 (0.4)0.67 (0.0)5/5

Δ fopt
f15, 20-D
1e1
30378
1e0
1.5e5
1e-1
3.1e5
1e-2
3.2e5
1e-3
3.2e5
1e-5
4.5e5
1e-7
4.6e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 0.82 (0.3)1.1 (0.3)0.71 (0.2)0.72 (0.2)0.72 (0.2)0.53 (0.2)0.54 (0.2)15/15
lmm-CMA-ES auger noiseless 4.3 (4)88070/15
IPOPsaACM loshchilov noiseless 0.60 (0.4)0.92 (0.8)0.53 (0.3)0.53 (0.4)0.52 (0.4)0.37 (0.2)0.37 (0.1)15/15
DTS5-CMA 50050/30
CMA-ES -061 0.77 (0.3)1.1 (0.3)0.87 (0.4)0.88 (0.4)0.88 (0.4)0.65 (0.3)0.66 (0.3)5/5

Δ fopt
f16, 20-D
1e1
1384
1e0
27265
1e-1
77015
1e-2
1.4e5
1e-3
1.9e5
1e-5
2.0e5
1e-7
2.2e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.8 (0.4)1.1 (1)0.88 (1)0.76 (0.2)0.80 (0.5)0.82 (0.4)0.76 (0.3)15/15
lmm-CMA-ES auger noiseless 1.2 (0.4)0.75 (0.5)88090/15
IPOPsaACM loshchilov noiseless 1.8 (2)0.55 (0.3)0.77 (0.9)0.63 (0.4)0.52 (0.4)0.55 (0.4)0.50 (0.3)15/15
DTS5-CMA 0.54 (0.0)2.7 (3)50020/30
CMA-ES -061 1.3 (0.2)0.70 (0.5)1.1 (0.7)1.3 (0.7)1.3 (1)1.3 (0.9)1.2 (0.8)5/5

Δ fopt
f17, 20-D
1e1
63
1e0
1030
1e-1
4005
1e-2
12242
1e-3
30677
1e-5
56288
1e-7
80472
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.3 (2)0.89 (0.1)0.50 (0.0)1.3 (0.7)0.82 (0.2)0.83 (0.4)0.87 (0.3)15/15
lmm-CMA-ES auger noiseless 1 (1)1.4 (0.1)0.80 (0.2)1.7 (3)4.1 (8)88050/15
IPOPsaACM loshchilov noiseless 2.5 (1)0.91 (0.2)0.98 (0.7)1.7 (1)1.2 (0.4)1.2 (0.4)1.1 (0.9)15/15
DTS5-CMA 1.7 (0.5)3.3 (5)50020/30
CMA-ES -061 0.91 (0.5)0.78 (0.2)0.55 (0.3)0.96 (0.7)0.60 (0.1)0.96 (0.3)0.74 (0.3)5/5

Δ fopt
f18, 20-D
1e1
621
1e0
3972
1e-1
19561
1e-2
28555
1e-3
67569
1e-5
1.3e5
1e-7
1.5e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.2 (0.3)1.5 (2)0.75 (0.4)1.1 (0.9)0.91 (0.4)0.78 (0.4)0.83 (0.3)15/15
lmm-CMA-ES auger noiseless 0.76 (0.2)1.5 (2)6.4 (8)88040/15
IPOPsaACM loshchilov noiseless 0.96 (0.4)1.4 (2)0.91 (0.5)1.3 (0.6)0.78 (0.5)0.88 (0.6)1.3 (0.5)15/15
DTS5-CMA 3.8 (6)4.4 (5)3.8 (6)50020/30
CMA-ES -061 1.3 (0.2)5.1 (4)1.5 (1)1.9 (0.6)1.0 (0.4)0.98 (0.5)0.93 (0.4)5/5

Δ fopt
f19, 20-D
1e1
1
1e0
1
1e-1
3.4e5
1e-2
4.7e6
1e-3
6.2e6
1e-5
6.7e6
1e-7
6.7e6
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 166 (56)2.9e4 (2e4)0.63 (0.6)0.46 (0.3)0.43 (0.2)0.44 (0.2)0.44 (0.2)15/15
lmm-CMA-ES auger noiseless 1 (0)1 (0)88050/15
IPOPsaACM loshchilov noiseless 154 (46)3.0e4 (4e4)0.61 (0.7)0.40 (0.1)0.33 (0.3)0.32 (0.2)0.32 (0.1)14/15
DTS5-CMA 100 (23)1661 (296)50030/30
CMA-ES -061 1 (0)1 (0)1.5 (0.5)2e60/5

Δ fopt
f20, 20-D
1e1
82
1e0
46150
1e-1
3.1e6
1e-2
5.5e6
1e-3
5.5e6
1e-5
5.6e6
1e-7
5.6e6
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 4.7 (1)3.2 (1.0)0.83 (0.4)0.58 (0.2)0.58 (0.1)0.59 (0.1)0.60 (0.2)15/15
lmm-CMA-ES auger noiseless 3.6 (0.6)88200/15
IPOPsaACM loshchilov noiseless 2.8 (0.6)1.7 (0.9)0.49 (0.4)0.46 (0.2)0.45 (0.2)0.45 (0.2)0.45 (0.2)15/15
DTS5-CMA 2.4 (0.5)50030/30
CMA-ES -061 3.3 (0.6)4.1 (4)9e50/5

Δ fopt
f21, 20-D
1e1
561
1e0
6541
1e-1
14103
1e-2
14318
1e-3
14643
1e-5
15567
1e-7
17589
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.9 (0.3)81 (159)66 (99)65 (92)64 (173)60 (83)54 (108)9/15
lmm-CMA-ES auger noiseless 1.7 (3)1.8 (2)1.4 (2)1.4 (2)1.4 (4)1.3 (1)1.2 (2)5/15
IPOPsaACM loshchilov noiseless 2.6 (4)53 (80)157 (416)155 (287)151 (400)142 (474)126 (39)15/15
DTS5-CMA 6.4 (14)5.0 (8)5.0 (5)4.9 (4)4.8 (7)4.6 (5)4.0 (4)2/30
CMA-ES -061 0.66 (0.3)39 (27)21 (62)21 (15)20 (33)19 (14)17 (10)3/5

Δ fopt
f22, 20-D
1e1
467
1e0
5580
1e-1
23491
1e-2
24163
1e-3
24948
1e-5
26847
1e-7
1.3e5
#succ
12/15
IPOP-ACTCMA-ES ros noiseless 462 (29)264 (172)1e60/15
lmm-CMA-ES auger noiseless 6.7 (20)4.7 (8)88110/15
IPOPsaACM loshchilov noiseless 175 (637)978 (1912)2e70/15
DTS5-CMA 14 (13)13 (21)50080/30
CMA-ES -061 5.2 (6)46 (80)4e50/5

Δ fopt
f23, 20-D
1e1
3.0
1e0
1614
1e-1
67457
1e-2
3.7e5
1e-3
4.9e5
1e-5
8.1e5
1e-7
8.4e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.4 (4)2.3e4 (2e4)3e60/15
lmm-CMA-ES auger noiseless 1.8 (1)88230/15
IPOPsaACM loshchilov noiseless 4.6 (5)2.9e4 (2e4)906 (1040)2e70/15
DTS5-CMA 2.5 (3)0.62 (0.1)★21.1 (2)★250020/30
CMA-ES -061 1.4 (2)445 (543)24 (25)5.1 (5)18 (14)11 (14)11 (13)1/5

Δ fopt
f24, 20-D
1e1
1.3e6
1e0
7.5e6
1e-1
5.2e7
1e-2
5.2e7
1e-3
5.2e7
1e-5
5.2e7
1e-7
5.2e7
#succ
3/15
IPOP-ACTCMA-ES ros noiseless 25 (32)4.5 (2)5e60/15
lmm-CMA-ES auger noiseless 88170/15
IPOPsaACM loshchilov noiseless 28 (23)38 (45)2e70/15
DTS5-CMA 0.06 (0.1)★250030/30
CMA-ES -061 1.5 (1)1e60/5

Previous dimension | Dimension = 40 | First dimension

Δ fopt
f1, 40-D
1e1
83
1e0
83
1e-1
83
1e-2
83
1e-3
83
1e-5
83
1e-7
83
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 10 (2)16 (1)21 (0.8)28 (1)34 (2)46 (1)58 (2)15/15

Δ fopt
f2, 40-D
1e1
796
1e0
797
1e-1
799
1e-2
799
1e-3
800
1e-5
802
1e-7
804
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 37 (2)43 (4)48 (2)51 (4)54 (3)57 (2)58 (2)15/15

Δ fopt
f3, 40-D
1e1
15526
1e0
15602
1e-1
15612
1e-2
15641
1e-3
15646
1e-5
15651
1e-7
15656
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6e60/15

Δ fopt
f4, 40-D
1e1
15536
1e0
15601
1e-1
15659
1e-2
15678
1e-3
15703
1e-5
15733
1e-7
2.8e5
#succ
6/15
IPOP-ACTCMA-ES ros noiseless 6e60/15

Δ fopt
f5, 40-D
1e1
98
1e0
116
1e-1
120
1e-2
121
1e-3
121
1e-5
121
1e-7
121
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 4.8 (0.6)4.6 (0.6)4.5 (0.5)4.5 (0.6)4.5 (0.5)4.5 (0.4)4.5 (0.4)15/15

Δ fopt
f6, 40-D
1e1
3507
1e0
5523
1e-1
7168
1e-2
9470
1e-3
11538
1e-5
15007
1e-7
19222
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.5 (0.1)1.4 (0.2)1.4 (0.2)1.3 (0.1)1.3 (0.2)1.3 (0.1)1.3 (0.1)15/15

Δ fopt
f7, 40-D
1e1
10698
1e0
17839
1e-1
41037
1e-2
66294
1e-3
66294
1e-5
66294
1e-7
68145
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.2 (0.3)2.5 (0.1)1.5 (0.6)0.99 (0.3)0.99 (0.3)0.99 (0.3)0.97 (0.3)15/15

Δ fopt
f8, 40-D
1e1
7080
1e0
10655
1e-1
11012
1e-2
11265
1e-3
11430
1e-5
11701
1e-7
11969
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.2 (0.3)4.5 (0.6)4.6 (0.7)4.7 (0.7)4.7 (0.5)4.7 (0.6)4.7 (0.2)15/15

Δ fopt
f9, 40-D
1e1
6122
1e0
12982
1e-1
13300
1e-2
13496
1e-3
13651
1e-5
13909
1e-7
14142
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 6.3 (0.8)5.8 (2)5.9 (7)6.0 (3)6.0 (3)6.0 (5)6.0 (5)15/15

Δ fopt
f10, 40-D
1e1
25536
1e0
29762
1e-1
35676
1e-2
51579
1e-3
56007
1e-5
65128
1e-7
70824
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.1 (0.1)1.1 (0.1)1.1 (0.1)0.80 (0.0)0.77 (0.0)0.70 (0.0)0.67 (0.0)15/15

Δ fopt
f11, 40-D
1e1
2368
1e0
4855
1e-1
11681
1e-2
25315
1e-3
29749
1e-5
38949
1e-7
48211
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 5.0 (0.2)2.7 (0.1)1.2 (0.0)0.58 (0.0)0.51 (0.0)0.43 (0.0)0.37 (0.0)15/15

Δ fopt
f12, 40-D
1e1
4169
1e0
7452
1e-1
9174
1e-2
10751
1e-3
13146
1e-5
22758
1e-7
25192
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.1 (0.0)1.3 (0.9)1.7 (0.6)1.9 (0.4)1.8 (0.4)1.3 (0.3)1.3 (0.2)15/15

Δ fopt
f13, 40-D
1e1
2029
1e0
6916
1e-1
8734
1e-2
11861
1e-3
71936
1e-5
98467
1e-7
1.2e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.6 (0.3)2.1 (3)4.7 (4)5.9 (5)1.3 (1)1.6 (1.0)1.9 (0.8)15/15

Δ fopt
f14, 40-D
1e1
304
1e0
616
1e-1
777
1e-2
1105
1e-3
2207
1e-5
4825
1e-7
57711
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 2.5 (0.3)2.4 (0.1)3.0 (0.3)3.7 (0.3)3.4 (0.2)3.9 (0.3)0.57 (0.0)15/15

Δ fopt
f15, 40-D
1e1
1.9e5
1e0
7.9e5
1e-1
1.0e6
1e-2
1.1e6
1e-3
1.1e6
1e-5
1.1e6
1e-7
1.1e6
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 0.76 (0.3)0.55 (0.1)0.64 (0.3)0.64 (0.4)0.65 (0.2)0.66 (0.4)0.67 (0.3)15/15

Δ fopt
f16, 40-D
1e1
5244
1e0
72122
1e-1
3.2e5
1e-2
7.1e5
1e-3
1.4e6
1e-5
2.0e6
1e-7
2.0e6
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 0.89 (0.2)0.91 (0.4)0.91 (0.7)0.74 (0.6)0.46 (0.5)0.96 (2)1.0 (1)15/15

Δ fopt
f17, 40-D
1e1
399
1e0
4220
1e-1
14158
1e-2
34948
1e-3
51958
1e-5
1.3e5
1e-7
2.7e5
#succ
14/15
IPOP-ACTCMA-ES ros noiseless 1.0 (0.5)0.51 (0.1)1.1 (1)1.1 (0.6)1.2 (0.9)1.00 (0.2)0.79 (0.2)15/15

Δ fopt
f18, 40-D
1e1
1442
1e0
16998
1e-1
47068
1e-2
1.3e5
1e-3
1.9e5
1e-5
6.7e5
1e-7
9.5e5
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 1.0 (0.4)0.62 (0.9)0.98 (0.2)0.69 (0.3)0.70 (0.2)0.49 (0.2)0.51 (0.3)15/15

Δ fopt
f19, 40-D
1e1
1
1e0
1
1e-1
1.4e6
1e-2
1.7e7
1e-3
2.6e7
1e-5
4.5e7
1e-7
4.5e7
#succ
8/15
IPOP-ACTCMA-ES ros noiseless 458 (90)5.0e4 (2e4)0.57 (0.5)0.38 (0.1)0.33 (0.1)0.20 (0.1)0.21 (0.1)15/15

Δ fopt
f20, 40-D
1e1
222
1e0
1.3e5
1e-1
1.6e8
1e-2
1e-3
1e-5
1e-7
#succ
0/15
IPOP-ACTCMA-ES ros noiseless 3.7 (0.6)8.4 (4)0.19 (0.2)    0/15

Δ fopt
f21, 40-D
1e1
1044
1e0
21144
1e-1
1.0e5
1e-2
1.0e5
1e-3
1.0e5
1e-5
1.0e5
1e-7
1.0e5
#succ
26/30
IPOP-ACTCMA-ES ros noiseless 9.2 (14)161 (72)118 (228)118 (176)118 (96)117 (233)116 (159)3/15

Δ fopt
f22, 40-D
1e1
3090
1e0
35442
1e-1
6.5e5
1e-2
6.5e5
1e-3
6.5e5
1e-5
6.5e5
1e-7
6.5e5
#succ
8/30
IPOP-ACTCMA-ES ros noiseless 295 (1105)174 (186)3e60/15

Δ fopt
f23, 40-D
1e1
7.0
1e0
11925
1e-1
75453
1e-2
6.6e5
1e-3
1.3e6
1e-5
3.2e6
1e-7
3.4e6
#succ
15/15
IPOP-ACTCMA-ES ros noiseless 8.4 (8)4e60/15

Δ fopt
f24, 40-D
1e1
5.8e6
1e0
9.8e7
1e-1
3.0e8
1e-2
3.0e8
1e-3
3.0e8
1e-5
3.0e8
1e-7
3.0e8
#succ
1/15
IPOP-ACTCMA-ES ros noiseless 9e60/15

Average runtime (aRT in number of function evaluations) divided by the respective best aRT measured during BBOB-2009 in different dimensions. This aRT ratio and, in braces as dispersion measure, the half difference between 10 and 90%-tile of bootstrapped run lengths appear for each algorithm and target, the corresponding reference aRT  in the first row. The different target ∆f-values are shown in the top row. #succ is the number of trials that reached the (final) target fopt+ 10−8. The median number of conducted function evaluations is additionally given in italics, if the target in the last column was never reached. Entries, succeeded by a star, are statistically significantly better (according to the rank-sum test) when compared to all other algorithms of the table, with p = 0.05 or p = 10−k when the number k following the star is larger than 1, with Bonferroni correction by the number of functions (24). A ↓ indicates the same tested against the best algorithm from BBOB 2009. Best results are printed in bold.
Data produced with COCO v2.2.1.244