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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
NEWUOA ros noiseless 2.5 (0.6)0.94 (0.2)0.94 (0)1.0 (0)★21.0 (0)★21.0 (0.2)★21.0 (0)★215/15
BFGS ros noiseless 3.0 (0.8)1.1 (0.1)1.2 (0)1.2 (0)1.2 (0)1.2 (0)1.2 (0)15/15
MCS huyer noiseless 0.90 (0.4)1.4 (0.1)2.0 (1)2.6 (1)2.6 (1)2.6 (1)2.6 (1)15/15
NELDERDOERR doerr noiseless 0.93 (0.4)1.4 (0.5)2.7 (0.7)4.1 (0.5)5.3 (0.4)7.6 (0.4)10 (0.6)15/15
SLSQP-11 -207 2.1 (2)1.1 (0.2)1.2 (0)1.2 (0)1.2 (0)1.2 (0)1.2 (0)15/15
BFGS-P-StPt 3.2 (2)1.7 (0)1.7 (0)1.7 (0)1.7 (0)1.7 (0)2.1 (0.3)15/15

Δ fopt
f2, 2-D		 1e1
16		 1e0
19		 1e-1
25		 1e-2
25		 1e-3
26		 1e-5
28		 1e-7
29		 #succ
15/15
NEWUOA ros noiseless 2.3 (1)8.8 (4)12 (5)15 (9)19 (7)26 (9)34 (12)15/15
BFGS ros noiseless 2.6 (2)4.0 (2)3.7 (0.7)4.0 (0.8)4.0 (1)4.1 (1)4.3 (1)15/15
MCS huyer noiseless 1.4 (0.6)1.8 (0.3)1.7 (1)2.6 (0.3)3.1 (0.7)3.7 (0.7)24 (33)15/15
NELDERDOERR doerr noiseless 1.7 (0.4)1.9 (0.3)1.7 (0.1)2.0 (0.1)2.1 (0.1)2.5 (0.2)3.0 (0.2)15/15
SLSQP-11 -207 1.4 (0.6)1.4 (0.6)1.2 (0.4)1.4 (0.6)★21.5 (0.3)★31.6 (0.2)★31.8 (0.5)★315/15
BFGS-P-StPt 4.1 (1)3.7 (1)3.1 (1)3.2 (1)3.4 (1)3.4 (1)3.8 (1)15/15

Δ fopt
f3, 2-D		 1e1
15		 1e0
271		 1e-1
445		 1e-2
446		 1e-3
450		 1e-5
454		 1e-7
464		 #succ
15/15
NEWUOA ros noiseless 4.7 (9)1.5 (2)4.2 (2)4.2 (2)4.2 (2)4.1 (2)4.1 (11)14/15
BFGS ros noiseless 14 (10)3.1 (4)10 (8)10 (6)10 (12)10 (12)10 (20)10/15
MCS huyer noiseless 1.5 (0.5)1.1 (0.7)1.5 (0.6)1.6 (0.6)1.6 (0.5)2.6 (3)2.6 (3)15/15
NELDERDOERR doerr noiseless 0.98 (0.5)1.00 (0.3)1.7 (2)1.8 (2)1.8 (2)1.8 (2)1.8 (1)15/15
SLSQP-11 -207 3.9 (8)2.6 (2)10 (9)10 (7)10 (5)10 (7)10 (9)15/15
BFGS-P-StPt 15 (9)10 (6)45 (87)45 (91)45 (58)44 (56)43 (72)5/15

Δ fopt
f4, 2-D		 1e1
22		 1e0
344		 1e-1
459		 1e-2
496		 1e-3
523		 1e-5
544		 1e-7
566		 #succ
15/15
NEWUOA ros noiseless 5.0 (5)4.5 (5)18 (19)16 (24)16 (34)15 (20)14 (9)10/15
BFGS ros noiseless 11 (19)5.7 (5)12 (6)11 (6)11 (4)10 (13)10 (10)9/15
MCS huyer noiseless 2.0 (1)1.00 (0.8)2.9 (2)2.7 (2)2.7 (2)2.7 (1)2.6 (1)15/15
NELDERDOERR doerr noiseless 1.9 (3)1.4 (0.3)3.5 (2)3.2 (2)3.1 (2)3.0 (3)3.0 (2)15/15
SLSQP-11 -207 4.4 (6)3.1 (3)10 (7)9.4 (16)9.0 (16)8.6 (4)8.3 (6)15/15
BFGS-P-StPt 7.7 (10)13 (13)41 (48)38 (53)36 (43)35 (48)34 (57)6/15

Δ fopt
f5, 2-D		 1e1
4.0		 1e0
4.0		 1e-1
4.0		 1e-2
4.0		 1e-3
4.0		 1e-5
4.0		 1e-7
4.0		 #succ
15/15
NEWUOA ros noiseless 1 (0.2)1.6 (0.4)1.7 (0.2)1.7 (0.2)1.7 (0.2)1.7 (0.2)1.7 (0.2)15/15
BFGS ros noiseless 1.4 (0.4)3.1 (0.8)3.1 (0.6)3.1 (0)3.1 (0)3.1 (0)3.1 (0.8)15/15
MCS huyer noiseless 1.1 (0.1)1.1 (0.1)★21.1 (0.1)★21.1 (0.1)★21.1 (0.1)★21.1 (0.1)★21.1 (0.1)★215/15
NELDERDOERR doerr noiseless 1.1 (0.4)2.1 (0.9)2.1 (0.9)2.1 (0.9)2.1 (1)2.1 (0.9)2.1 (0.9)15/15
SLSQP-11 -207 1.5 (0)3.5 (0)3.5 (0)3.5 (0)3.5 (0)3.5 (0)3.5 (0)15/15
BFGS-P-StPt 1.5 (0)3.5 (0)3.5 (0)3.5 (0)3.5 (0)3.5 (0)3.5 (0)15/15

Δ fopt
f6, 2-D		 1e1
13		 1e0
23		 1e-1
41		 1e-2
54		 1e-3
67		 1e-5
95		 1e-7
124		 #succ
15/15
NEWUOA ros noiseless 4.3 (4)4.6 (4)3.9 (2)4.4 (2)4.7 (2)4.9 (2)4.9 (2)15/15
BFGS ros noiseless 4.1 (4)3.3 (2)2.7 (1.0)2.3 (0.8)2.0 (0.5)1.7 (0.6)1.6 (0.5)15/15
MCS huyer noiseless 51 (61)29 (58)19 (35)42 (49)102 (306)102 (254)117 (112)12/15
NELDERDOERR doerr noiseless 1.2 (0.9)1.3 (0.4)1 (0.3)1.00 (0.2)1 (0.1)1.00 (0.1)1.0 (0.1)15/15
SLSQP-11 -207 5.2 (4)4.1 (3)2.6 (3)2.2 (2)2.1 (1)1.8 (0.9)2.0 (1)15/15
BFGS-P-StPt 6.6 (3)5.8 (4)4.6 (2)3.7 (1)3.2 (1)2.7 (0.5)2.5 (0.5)15/15

Δ fopt
f7, 2-D		 1e1
3.0		 1e0
21		 1e-1
60		 1e-2
193		 1e-3
217		 1e-5
217		 1e-7
241		 #succ
15/15
NEWUOA ros noiseless 2.7 (2)9.5 (13)9.4 (8)6.0 (9)14 (9)14 (24)12 (22)13/15
BFGS ros noiseless 11 (11)19 (36)34 (31)∞∞∞∞3000/15
MCS huyer noiseless 1.1 (0.8)4.2 (5)4.5 (2)2.2 (1)6.5 (9)6.5 (9)6.0 (5)15/15
NELDERDOERR doerr noiseless 2.8 (2)1.0 (0.9)8.6 (10)5.4 (7)5.2 (6)5.2 (3)5.4 (8)15/15
SLSQP-11 -207 17 (24)24 (26)89 (90)241 (356)571 (633)571 (805)514 (198)4/15
BFGS-P-StPt 11 (22)18 (12)∞∞∞∞∞5000/15

Δ fopt
f8, 2-D		 1e1
5.0		 1e0
12		 1e-1
37		 1e-2
46		 1e-3
86		 1e-5
94		 1e-7
112		 #succ
15/15
NEWUOA ros noiseless 4.6 (3)7.0 (5)3.5 (2)3.2 (1)1.9 (0.6)1.8 (0.9)1.6 (0.6)15/15
BFGS ros noiseless 4.5 (3)5.1 (3)2.4 (2)2.2 (1)1.3 (0.7)1.3 (0.4)1.1 (0.4)15/15
MCS huyer noiseless 1.1 (0.9)1 (0.6)0.99 (0.4)1.0 (0.7)1.0 (0.8)1 (0.1)1 (0.6)15/15
NELDERDOERR doerr noiseless 4.9 (4)6.2 (4)2.9 (2)2.8 (1)1.6 (0.4)1.6 (0.6)1.5 (0.4)15/15
SLSQP-11 -207 3.2 (2)3.2 (3)2.0 (1)2.1 (2)1.2 (0.6)1.2 (0.4)1.1 (0.5)15/15
BFGS-P-StPt 4.3 (7)5.4 (6)2.4 (3)2.5 (2)1.5 (0.7)1.5 (0.9)1.3 (0.8)15/15

Δ fopt
f9, 2-D		 1e1
1		 1e0
18		 1e-1
30		 1e-2
44		 1e-3
68		 1e-5
81		 1e-7
92		 #succ
15/15
NEWUOA ros noiseless 24 (26)3.6 (4)3.3 (3)2.7 (2)1.9 (1)1.8 (0.7)1.7 (0.7)15/15
BFGS ros noiseless 16 (15)2.4 (2)2.3 (1)1.9 (0.5)1.3 (0.5)1.2 (0.5)1.1 (0.5)15/15
MCS huyer noiseless 1 (0)0.99 (0.4)1 (0.3)1.00 (0.4)0.99 (0.4)1.0 (0.4)1.0 (0.5)15/15
NELDERDOERR doerr noiseless 11 (8)2.2 (1)2.6 (0.8)2.1 (0.6)1.5 (0.7)1.4 (0.7)1.4 (0.4)15/15
SLSQP-11 -207 1 (0)0.50 (0)★20.63 (0)0.98 (0)0.78 (0)0.80 (0)0.75 (0)15/15
BFGS-P-StPt 1 (0)1 (0)1 (0)1.4 (0)1.1 (0)1.1 (0)1.0 (0)15/15

Δ fopt
f10, 2-D		 1e1
30		 1e0
46		 1e-1
54		 1e-2
61		 1e-3
68		 1e-5
82		 1e-7
98		 #succ
15/15
NEWUOA ros noiseless 3.1 (2)4.2 (2)6.5 (4)7.3 (5)8.5 (4)10 (6)11 (5)15/15
BFGS ros noiseless 0.99 (0.6)1.3 (0.7)1.4 (0.2)1.4 (0.2)1.4 (0.3)6.3 (14)24 (27)10/15
MCS huyer noiseless 1.7 (1)8.6 (17)47 (56)131 (376)525 (606)1296 (1416)3721 (5488)1/15
NELDERDOERR doerr noiseless 1.2 (0.4)0.99 (0.2)1.00 (0.3)1.00 (0.1)1.0 (0.2)1.00 (0.2)1.00 (0.1)15/15
SLSQP-11 -207 0.82 (0.3)0.65 (0.3)0.61 (0.2)0.59 (0.2)0.57 (0.2)38 (256)166 (218)8/15
BFGS-P-StPt 1.9 (0.8)1.4 (0.6)1.2 (0.7)1.1 (0.6)1.1 (0.6)0.96 (0.3)0.87 (0.4)15/15

Δ fopt
f11, 2-D		 1e1
35		 1e0
45		 1e-1
50		 1e-2
62		 1e-3
67		 1e-5
81		 1e-7
97		 #succ
15/15
NEWUOA ros noiseless 1.6 (0.7)3.2 (2)5.6 (2)6.0 (4)7.0 (2)8.5 (4)11 (7)15/15
BFGS ros noiseless 1.2 (0.9)1.6 (1)2.0 (0.5)1.7 (0.3)1.9 (0.2)5.7 (4)36 (35)10/15
MCS huyer noiseless 87 (73)124 (192)168 (181)295 (185)926 (881)2052 (2150)∞5e40/15
NELDERDOERR doerr noiseless 1.0 (0.3)1 (0.3)1.0 (0.3)0.99 (0.2)1.0 (0.2)1.0 (0.2)1.0 (0.1)15/15
SLSQP-11 -207 0.67 (0.1)0.61 (0.1)0.63 (0.2)★20.59 (0.1)★30.63 (0.2)★383 (169)288 (425)8/15
BFGS-P-StPt 2.6 (1)2.1 (0.9)2.1 (0.8)1.7 (0.6)1.7 (0.5)1.5 (0.5)1.3 (0.4)15/15

Δ fopt
f12, 2-D		 1e1
35		 1e0
46		 1e-1
75		 1e-2
94		 1e-3
105		 1e-5
153		 1e-7
195		 #succ
15/15
NEWUOA ros noiseless 1.9 (0.5)2.9 (10)2.3 (6)2.1 (2)2.0 (3)1.6 (2)1.4 (2)15/15
BFGS ros noiseless 1.2 (2)3.2 (3)3.1 (4)2.9 (4)2.8 (3)2.4 (2)4.2 (7)15/15
MCS huyer noiseless 60 (74)49 (61)32 (67)26 (54)24 (48)39 (25)30 (36)15/15
NELDERDOERR doerr noiseless 1.1 (0.5)1.6 (2)1.6 (3)1.7 (2)1.7 (1)1.4 (1.0)1.3 (2)15/15
SLSQP-11 -207 1.1 (0.4)1.0 (0.6)0.64 (0.3)0.52 (0.3)0.48 (0.2)0.37 (0.2)1.5 (1)15/15
BFGS-P-StPt 11 (14)11 (15)8.3 (11)7.2 (7)6.7 (9)5.1 (6)4.4 (6)15/15

Δ fopt
f13, 2-D		 1e1
23		 1e0
35		 1e-1
46		 1e-2
60		 1e-3
71		 1e-5
95		 1e-7
122		 #succ
15/15
NEWUOA ros noiseless 6.2 (1)10 (20)22 (34)25 (37)72 (33)91 (137)147 (80)5/15
BFGS ros noiseless 6.7 (5)15 (14)45 (44)74 (43)164 (136)580 (493)∞1e40/15
MCS huyer noiseless 23 (15)20 (11)167 (162)958 (792)2152 (2465)∞∞5e40/15
NELDERDOERR doerr noiseless 1.1 (1)1.1 (0.1)1.1 (0.3)1.0 (0.3)1.0 (0.3)1.1 (0.2)1.0 (0.1)15/15
SLSQP-11 -207 0.90 (0.2)0.79 (0.2)0.82 (0.2)0.76 (0.1)★20.75 (0.1)★30.87 (0.4)★56 (173)9/15
BFGS-P-StPt 7.5 (8)20 (30)16 (28)25 (41)24 (36)23 (25)1994 (1621)8/15

Δ fopt
f14, 2-D		 1e1
1		 1e0
7.0		 1e-1
16		 1e-2
24		 1e-3
38		 1e-5
67		 1e-7
90		 #succ
15/15
NEWUOA ros noiseless 5.1 (4)2.5 (0.8)1.6 (0.6)1.5 (0.5)1.6 (0.4)2.1 (0.4)5.4 (7)6/15
BFGS ros noiseless 3.0 (4)2.9 (2)1.8 (1)1.7 (1)1.4 (0.5)1.0 (0.4)6.0 (6)15/15
MCS huyer noiseless 1.4 (1)1.1 (0.5)1.4 (0.6)1.7 (0.4)2.8 (2)23 (25)8186 (4171)0/15
NELDERDOERR doerr noiseless 1.8 (2)1.4 (0.6)1.3 (0.3)1.3 (0.2)1.1 (0.2)1.0 (0.1)1.0 (0.1)★215/15
SLSQP-11 -207 3.8 (3)1.6 (1)1.3 (0.4)1.4 (0.3)1.1 (0.4)0.97 (0.3)3.5 (2)14/15
BFGS-P-StPt 2.8 (2)1.5 (2)1.2 (0.8)1.4 (0.2)1.4 (0.7)1.2 (0.3)1.5 (0.2)15/15

Δ fopt
f15, 2-D		 1e1
37		 1e0
291		 1e-1
1033		 1e-2
1066		 1e-3
1113		 1e-5
1231		 1e-7
1412		 #succ
15/15
NEWUOA ros noiseless 4.1 (4)3.4 (3)3.3 (3)3.2 (3)3.0 (3)2.7 (2)2.4 (3)15/15
BFGS ros noiseless 4.2 (3)4.6 (5)7.9 (12)7.7 (3)7.3 (5)6.6 (4)5.8 (6)7/15
MCS huyer noiseless 2.1 (3)3.5 (7)1.4 (2)1.4 (1)1.3 (2)1.2 (0.4)1.1 (1)15/15
NELDERDOERR doerr noiseless 1.1 (1)1.3 (1)1.4 (1)1.3 (1)1.3 (1)1.2 (0.7)1.0 (1)15/15
SLSQP-11 -207 2.9 (5)2.7 (6)2.4 (2)2.4 (2)2.3 (1)2.1 (0.9)1.8 (1)15/15
BFGS-P-StPt 8.4 (11)4.9 (2)10 (9)10 (13)9.2 (5)8.3 (8)7.3 (8)9/15

Δ fopt
f16, 2-D		 1e1
9.0		 1e0
50		 1e-1
174		 1e-2
326		 1e-3
358		 1e-5
409		 1e-7
538		 #succ
15/15
NEWUOA ros noiseless 9.1 (10)10 (6)6.8 (9)6.9 (3)22 (32)44 (45)77 (103)4/15
BFGS ros noiseless 41 (45)147 (304)173 (168)269 (417)∞∞∞1e40/15
MCS huyer noiseless 5.2 (6)6.7 (8)2.7 (3)4.3 (5)6.8 (8)29 (40)115 (94)6/15
NELDERDOERR doerr noiseless 1.7 (1)3.5 (5)1.8 (2)1.1 (0.8)1.1 (0.9)★1.0 (0.7)★21.00 (1)★415/15
SLSQP-11 -207 430 (53)513 (945)457 (738)599 (386)1850 (1851)∞∞4e40/15
BFGS-P-StPt 195 (220)925 (896)1562 (2216)∞∞∞∞6e40/15

Δ fopt
f17, 2-D		 1e1
3.0		 1e0
61		 1e-1
133		 1e-2
275		 1e-3
396		 1e-5
1086		 1e-7
1657		 #succ
15/15
NEWUOA ros noiseless 6.8 (8)6.8 (7)18 (18)33 (29)115 (98)∞∞1e40/15
BFGS ros noiseless 13 (14)16 (11)90 (63)∞∞∞∞37860/15
MCS huyer noiseless 1.1 (1)4.3 (3)4.8 (3)5.4 (5)9.2 (9)142 (110)125 (182)0/15
NELDERDOERR doerr noiseless 1.2 (1)1.5 (4)3.3 (5)3.0 (3)3.1 (4)5.9 (5)4.0 (8)14/15
SLSQP-11 -207 11 (16)14 (2)72 (88)2121 (2573)∞∞∞4e40/15
BFGS-P-StPt 21 (95)87 (128)265 (341)∞∞∞∞1e40/15

Δ fopt
f18, 2-D		 1e1
19		 1e0
134		 1e-1
666		 1e-2
1249		 1e-3
1708		 1e-5
2438		 1e-7
2858		 #succ
15/15
NEWUOA ros noiseless 5.6 (11)12 (14)14 (15)62 (66)∞∞∞1e40/15
BFGS ros noiseless 14 (24)29 (26)108 (165)∞∞∞∞48990/15
MCS huyer noiseless 1.3 (1.0)2.8 (5)1.7 (2)8.4 (8)135 (96)∞∞5e40/15
NELDERDOERR doerr noiseless 1.2 (2)3.1 (3)2.4 (3)4.3 (8)5.8 (8)25 (38)21 (27)6/15
SLSQP-11 -207 10 (11)59 (90)103 (50)501 (415)366 (349)∞∞4e40/15
BFGS-P-StPt 59 (89)97 (111)∞∞∞∞∞2e40/15

Δ fopt
f19, 2-D		 1e1
1		 1e0
1		 1e-1
26		 1e-2
216		 1e-3
227		 1e-5
252		 1e-7
276		 #succ
15/15
NEWUOA ros noiseless 6.2 (4)126 (254)16 (19)27 (22)26 (20)24 (13)22 (9)13/15
BFGS ros noiseless 37 (85)311 (308)62 (57)30 (27)29 (30)26 (29)24 (42)11/15
MCS huyer noiseless 1 (0)1 (0)1.0 (0.3)1 (1)★21 (1)★31.0 (1)★21.00 (1.0)★215/15
NELDERDOERR doerr noiseless 4.6 (4)52 (126)11 (12)8.1 (12)7.8 (13)7.1 (11)6.5 (6)15/15
SLSQP-11 -207 1 (0)1 (0)0.54 (0)∞∞∞∞4e40/15
BFGS-P-StPt 1 (0)1 (0)0.57 (0.0)203 (313)193 (181)174 (221)1466 (1649)0/15

Δ fopt
f20, 2-D		 1e1
4.0		 1e0
61		 1e-1
365		 1e-2
366		 1e-3
366		 1e-5
370		 1e-7
375		 #succ
15/15
NEWUOA ros noiseless 1.9 (0.8)6.9 (6)5.9 (4)5.9 (6)5.9 (7)5.8 (8)5.8 (8)15/15
BFGS ros noiseless 1.9 (1)6.0 (7)2.7 (3)2.7 (2)2.7 (4)2.7 (2)2.6 (2)15/15
MCS huyer noiseless 5.3 (2)2.2 (2)1.00 (1)1.0 (1)1.0 (0.5)1.0 (1)1.0 (1)15/15
NELDERDOERR doerr noiseless 1.4 (1)3.9 (5)2.8 (2)2.8 (2)2.9 (4)2.9 (3)2.9 (2)15/15
SLSQP-11 -207 2.5 (0)4.7 (4)21 (28)21 (35)21 (36)21 (26)21 (28)15/15
BFGS-P-StPt 4.5 (0)10 (6)3.2 (2)3.2 (4)3.2 (3)3.2 (3)3.2 (5)15/15

Δ fopt
f21, 2-D		 1e1
2.0		 1e0
51		 1e-1
174		 1e-2
276		 1e-3
290		 1e-5
324		 1e-7
330		 #succ
15/15
NEWUOA ros noiseless 2.9 (2)3.8 (3)4.0 (3)2.5 (1)2.4 (2)2.2 (1)2.3 (2)15/15
BFGS ros noiseless 2.2 (2)4.8 (5)3.1 (2)2.0 (3)1.9 (1)1.7 (2)1.8 (2)15/15
MCS huyer noiseless 1.3 (0.8)22 (2)14 (16)8.8 (10)8.4 (5)7.6 (9)7.5 (9)15/15
NELDERDOERR doerr noiseless 1.2 (0.6)2.6 (4)2.6 (4)1.7 (3)1.6 (2)1.5 (1)1.5 (1)15/15
SLSQP-11 -207 2.5 (2)3.2 (3)1.3 (1)0.88 (0.8)0.86 (0.8)0.83 (0.7)0.89 (0.7)15/15
BFGS-P-StPt 4.8 (5)6.8 (5)2.8 (5)1.8 (2)1.7 (3)1.6 (3)12 (18)8/15

Δ fopt
f22, 2-D		 1e1
5.0		 1e0
27		 1e-1
168		 1e-2
218		 1e-3
249		 1e-5
289		 1e-7
306		 #succ
15/15
NEWUOA ros noiseless 2.0 (2)6.3 (16)1.2 (3)1.00 (2)1.0 (1)1.0 (0.6)1.1 (0.3)15/15
BFGS ros noiseless 5.4 (10)5.0 (3)1.5 (3)1.2 (0.6)1.1 (2)1 (2)1.00 (2)15/15
MCS huyer noiseless 2.4 (2)40 (93)7.4 (8)6.0 (11)5.3 (6)4.8 (5)5.2 (5)15/15
NELDERDOERR doerr noiseless 1.3 (0.7)8.0 (8)1.8 (2)1.4 (2)1.2 (1)1.1 (1)1.1 (1)15/15
SLSQP-11 -207 2.1 (2)4.2 (8)1.5 (1)1.2 (0.7)1.1 (0.8)1.0 (0.4)1.0 (1)15/15
BFGS-P-StPt 4.2 (1)11 (21)3.4 (2)2.7 (3)2.4 (2)2.6 (5)10 (10)10/15

Δ fopt
f23, 2-D		 1e1
8.0		 1e0
193		 1e-1
234		 1e-2
263		 1e-3
299		 1e-5
348		 1e-7
379		 #succ
15/15
NEWUOA ros noiseless 7.6 (15)3.2 (3)32 (50)89 (66)130 (143)500 (876)459 (705)0/15
BFGS ros noiseless 4.7 (7)4.9 (5)28 (32)121 (130)477 (703)410 (523)∞97440/15
MCS huyer noiseless 3.3 (1)2.8 (3)6.3 (3)23 (11)213 (160)1012 (1250)1902 (1785)1/15
NELDERDOERR doerr noiseless 4.6 (10)1.00 (0.6)1.00 (0.8)★1.00 (1)★21.0 (1)★31.00 (0.8)★31.0 (0.8)★415/15
SLSQP-11 -207 9.2 (5)10 (12)16 (24)23 (39)31 (26)111 (107)∞4e40/15
BFGS-P-StPt 53 (92)43 (24)117 (151)197 (125)582 (347)∞∞7e40/15

Δ fopt
f24, 2-D		 1e1
18		 1e0
857		 1e-1
8515		 1e-2
23399		 1e-3
24113		 1e-5
24721		 1e-7
24721		 #succ
5/15
NEWUOA ros noiseless 3.2 (4)2.8 (4)1.9 (2)2.0 (4)1.9 (4)1.9 (2)1.9 (1)3/15
BFGS ros noiseless 3.4 (5)5.1 (4)2.9 (4)∞∞∞∞53130/15
MCS huyer noiseless 2.6 (3)5.7 (3)1.6 (0.8)2.7 (3)2.7 (3)2.6 (3)2.6 (2)8/15
NELDERDOERR doerr noiseless 1.6 (3)1.9 (3)1.5 (2)3.2 (6)3.1 (2)3.0 (4)3.0 (4)6/15
SLSQP-11 -207 4.2 (4)1.7 (1)1.5 (1)3.4 (3)3.3 (2)3.3 (3)3.3 (3)6/15
BFGS-P-StPt 8.8 (10)13 (19)5.9 (6)∞∞∞∞96680/15

Previous dimension | Dimension = 3 | Next dimension

Δ fopt
f1, 3-D		 1e1
4.0		 1e0
8.0		 1e-1
8.0		 1e-2
8.0		 1e-3
8.0		 1e-5
8.0		 1e-7
8.0		 #succ
15/15
NEWUOA ros noiseless 1.6 (0.8)1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)15/15
BFGS ros noiseless 2.1 (0.2)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)15/15
MCS huyer noiseless 0.90 (0.6)1.6 (1)2.0 (0.5)2.4 (1.0)2.4 (1.0)2.4 (0.9)2.4 (1.0)15/15
NELDERDOERR doerr noiseless 1.8 (0.9)2.4 (0.5)3.9 (0.7)5.4 (0.8)6.9 (0.6)10 (0.9)14 (1)15/15
SLSQP-11 -207 1.6 (0.4)1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)15/15
BFGS-P-StPt 2.5 (0.7)1.5 (0)1.5 (0)1.5 (0)1.5 (0)1.5 (0)1.9 (0.3)15/15

Δ fopt
f2, 3-D		 1e1
38		 1e0
42		 1e-1
43		 1e-2
44		 1e-3
45		 1e-5
47		 1e-7
48		 #succ
15/15
NEWUOA ros noiseless 3.4 (6)14 (13)26 (22)33 (45)42 (38)56 (38)72 (44)15/15
BFGS ros noiseless 3.1 (2)3.9 (2)4.7 (0.8)4.9 (1)4.9 (1)5.1 (2)5.2 (1)15/15
MCS huyer noiseless 1.8 (1)1.9 (1)2.3 (2)3.7 (2)4.4 (1)5.2 (1)6.9 (2)15/15
NELDERDOERR doerr noiseless 2.3 (1)2.8 (2)3.2 (1)3.6 (0.9)3.7 (1)4.2 (2)4.6 (1)15/15
SLSQP-11 -207 0.98 (0.1)1.1 (0.2)★1.2 (0.1)★21.3 (0.3)★21.4 (0.4)★1.6 (0.6)★21.8 (0.5)★215/15
BFGS-P-StPt 2.4 (1)2.4 (1.0)2.6 (1)2.7 (1)2.8 (0.8)2.9 (0.7)3.0 (0.9)15/15

Δ fopt
f3, 3-D		 1e1
38		 1e0
822		 1e-1
830		 1e-2
835		 1e-3
842		 1e-5
847		 1e-7
853		 #succ
15/15
NEWUOA ros noiseless 5.7 (6)5.0 (9)55 (96)54 (26)54 (85)54 (47)53 (51)4/15
BFGS ros noiseless 41 (21)25 (20)155 (166)154 (134)153 (117)152 (80)151 (155)1/15
MCS huyer noiseless 6.7 (0.4)1.2 (3)10 (20)11 (2)11 (20)12 (19)12 (10)15/15
NELDERDOERR doerr noiseless 3.0 (3)1.5 (1)8.4 (8)8.3 (8)8.3 (11)8.3 (9)8.3 (6)15/15
SLSQP-11 -207 15 (22)6.8 (7)47 (50)47 (59)47 (39)46 (33)46 (31)12/15
BFGS-P-StPt 78 (28)43 (77)∞∞∞∞∞1e40/15

Δ fopt
f4, 3-D		 1e1
40		 1e0
808		 1e-1
866		 1e-2
921		 1e-3
952		 1e-5
1015		 1e-7
1044		 #succ
15/15
NEWUOA ros noiseless 25 (10)21 (29)302 (216)284 (454)275 (437)258 (346)251 (268)1/15
BFGS ros noiseless 48 (34)54 (106)∞∞∞∞∞98360/15
MCS huyer noiseless 6.0 (1)10 (3)67 (70)63 (74)61 (64)57 (59)56 (70)6/15
NELDERDOERR doerr noiseless 4.6 (4)7.8 (6)43 (42)40 (47)39 (40)37 (59)36 (46)12/15
SLSQP-11 -207 21 (19)39 (90)328 (403)309 (478)299 (428)280 (282)272 (361)3/15
BFGS-P-StPt 93 (66)87 (125)∞∞∞∞∞1e40/15

Δ fopt
f5, 3-D		 1e1
7.0		 1e0
7.0		 1e-1
7.0		 1e-2
7.0		 1e-3
7.0		 1e-5
7.0		 1e-7
7.0		 #succ
15/15
NEWUOA ros noiseless 1.1 (0)1.3 (0.1)1.4 (0.3)1.4 (0.3)1.4 (0.3)1.4 (0.3)1.4 (0.2)15/15
BFGS ros noiseless 1.5 (0.3)2.3 (0.6)2.4 (0.6)2.4 (0.7)2.4 (0.4)2.4 (0.7)2.4 (0.7)15/15
MCS huyer noiseless 0.94 (0.1)0.94 (0.1)★40.94 (0.1)★40.94 (0.1)★40.94 (0.1)★40.94 (0.1)★40.94 (0.0)★415/15
NELDERDOERR doerr noiseless 1.3 (0.8)2.3 (1)2.3 (1)2.3 (0.7)2.3 (1)2.3 (0.9)2.3 (0.9)15/15
SLSQP-11 -207 1 (0)3.1 (0)3.1 (0)3.1 (0)3.1 (0)3.1 (0)3.1 (0)15/15
BFGS-P-StPt 1 (0)3.1 (0)3.1 (0)3.1 (0)3.1 (0)3.1 (0)3.1 (0)15/15

Δ fopt
f6, 3-D		 1e1
34		 1e0
56		 1e-1
90		 1e-2
117		 1e-3
149		 1e-5
215		 1e-7
265		 #succ
15/15
NEWUOA ros noiseless 2.1 (1)3.4 (6)3.8 (6)4.0 (3)4.1 (3)4.1 (4)4.8 (2)15/15
BFGS ros noiseless 3.5 (3)3.4 (1)2.9 (1)2.4 (0.9)2.0 (0.6)1.9 (1)3.1 (3)15/15
MCS huyer noiseless 3.0 (4)164 (225)118 (98)141 (182)144 (338)153 (158)213 (126)2/15
NELDERDOERR doerr noiseless 0.99 (0.5)1 (0.2)★1.0 (0.3)1.00 (0.5)★21.0 (0.3)★21.00 (0.2)★31.00 (0.1)★315/15
SLSQP-11 -207 4.4 (3)3.3 (2)2.6 (2)2.4 (0.8)2.3 (1)2.0 (1.0)2.4 (0.6)15/15
BFGS-P-StPt 4.0 (4)5.0 (2)4.1 (1)4.4 (1.0)3.7 (0.3)3.4 (0.7)4.6 (0.9)15/15

Δ fopt
f7, 3-D		 1e1
11		 1e0
65		 1e-1
342		 1e-2
464		 1e-3
482		 1e-5
482		 1e-7
535		 #succ
15/15
NEWUOA ros noiseless 12 (62)12 (2)10 (5)14 (19)39 (44)39 (22)35 (86)9/15
BFGS ros noiseless 17 (9)86 (95)∞∞∞∞∞4000/15
MCS huyer noiseless 1.0 (0.5)5.7 (6)2.4 (2)4.2 (2)4.1 (2)4.1 (3)8.8 (6)15/15
NELDERDOERR doerr noiseless 7.8 (0.6)4.2 (5)4.3 (6)4.2 (3)8.8 (6)8.8 (5)8.8 (21)15/15
SLSQP-11 -207 16 (18)190 (289)324 (488)1846 (1960)1777 (1761)1777 (1729)1601 (1983)1/15
BFGS-P-StPt 31 (31)136 (252)∞∞∞∞∞6000/15

Δ fopt
f8, 3-D		 1e1
27		 1e0
45		 1e-1
152		 1e-2
179		 1e-3
188		 1e-5
198		 1e-7
208		 #succ
15/15
NEWUOA ros noiseless 1.4 (1)2.8 (3)1.2 (0.5)1.1 (0.4)1.2 (0.6)1.2 (0.5)1.2 (0.6)15/15
BFGS ros noiseless 1.4 (0.8)2.7 (2)1.1 (0.5)1.0 (0.3)1.0 (0.4)1.0 (0.3)1.0 (0.3)15/15
MCS huyer noiseless 1.0 (0.5)1.00 (0.7)7.1 (9)6.2 (7)6.1 (14)5.9 (13)5.7 (6)15/15
NELDERDOERR doerr noiseless 1.6 (0.6)4.0 (3)1.5 (0.9)1.4 (0.6)1.4 (0.8)1.5 (0.7)1.5 (0.7)15/15
SLSQP-11 -207 1.3 (0.4)2.2 (1)0.95 (0.5)0.94 (0.7)0.96 (0.4)0.96 (0.6)0.95 (0.4)15/15
BFGS-P-StPt 1.7 (0.6)2.3 (1)0.86 (0.5)0.88 (0.5)0.91 (0.4)0.93 (0.4)0.92 (0.4)15/15

Δ fopt
f9, 3-D		 1e1
21		 1e0
65		 1e-1
127		 1e-2
149		 1e-3
159		 1e-5
169		 1e-7
178		 #succ
15/15
NEWUOA ros noiseless 1.7 (0.8)1.7 (1.0)1.2 (0.6)1.2 (0.7)1.2 (0.5)1.3 (0.9)1.3 (0.5)15/15
BFGS ros noiseless 1.5 (0.9)1.5 (1)1.1 (0.4)1.1 (0.4)1.1 (0.4)1.1 (0.3)1.0 (0.3)15/15
MCS huyer noiseless 0.99 (0.3)1.0 (1)1.0 (0.7)1.1 (0.6)1.1 (0.3)1.2 (0.5)1.2 (0.5)15/15
NELDERDOERR doerr noiseless 1.5 (0.7)1.4 (0.8)1.1 (0.9)1.1 (0.6)1.1 (0.4)1.2 (0.3)1.3 (0.5)15/15
SLSQP-11 -207 0.48 (0)★20.15 (0)★40.44 (0)★20.48 (0)★20.55 (0)0.57 (0)0.57 (0)★415/15
BFGS-P-StPt 1.0 (0)0.34 (0)0.57 (1e-2)0.68 (0)0.70 (0)0.72 (0.0)0.74 (0.0)15/15

Δ fopt
f10, 3-D		 1e1
114		 1e0
152		 1e-1
168		 1e-2
180		 1e-3
194		 1e-5
218		 1e-7
242		 #succ
15/15
NEWUOA ros noiseless 2.8 (2)5.2 (3)8.3 (5)10 (4)12 (5)14 (8)16 (7)15/15
BFGS ros noiseless 1.0 (0.5)1.2 (0.5)1.2 (0.3)1.2 (0.2)1.4 (0.2)5.9 (4)76 (144)3/15
MCS huyer noiseless 67 (97)168 (61)824 (1393)4119 (4241)3822 (4580)∞∞5e40/15
NELDERDOERR doerr noiseless 1.1 (0.7)1.1 (0.6)1.1 (0.2)1.1 (0.4)1.1 (0.3)1.0 (0.2)1.0 (0.2)15/15
SLSQP-11 -207 0.33 (0.1)★30.29 (0.1)★40.30 (0.1)★40.31 (0.0)★30.32 (0.0)★30.41 (0.1)★2108 (278)9/15
BFGS-P-StPt 0.95 (0.1)0.76 (0.3)0.76 (0.2)0.73 (0.2)0.72 (0.3)0.73 (0.1)0.78 (0.2)15/15

Δ fopt
f11, 3-D		 1e1
67		 1e0
105		 1e-1
227		 1e-2
263		 1e-3
277		 1e-5
302		 1e-7
327		 #succ
15/15
NEWUOA ros noiseless 3.1 (2)3.4 (2)2.5 (1)2.6 (1)3.2 (1)4.0 (1)5.1 (1)15/15
BFGS ros noiseless 1.0 (0.6)1.0 (0.3)1.0 (0.9)1.4 (0.9)3.7 (5)41 (83)∞2e40/15
MCS huyer noiseless 49 (40)83 (90)101 (87)512 (593)∞∞∞5e40/15
NELDERDOERR doerr noiseless 2.3 (2)2.0 (0.6)1.1 (0.3)1 (0.2)1.0 (0.2)1 (0.2)1.0 (0.2)15/15
SLSQP-11 -207 0.44 (0.1)0.34 (0.1)★40.19 (0.0)★40.19 (0.1)★30.21 (0.0)★233 (149)169 (444)5/15
BFGS-P-StPt 1.3 (0.6)0.89 (0.5)0.44 (0.2)0.41 (0.2)0.41 (0.2)0.41 (0.1)0.66 (0.6)15/15

Δ fopt
f12, 3-D		 1e1
65		 1e0
168		 1e-1
338		 1e-2
401		 1e-3
445		 1e-5
696		 1e-7
790		 #succ
15/15
NEWUOA ros noiseless 2.0 (2)1.6 (2)1.2 (1)1.2 (1)1.3 (1)1.1 (0.9)1.2 (0.9)15/15
BFGS ros noiseless 1.7 (2)1.4 (1)1.00 (0.8)1.00 (0.7)1.00 (0.4)2.3 (2)43 (68)9/15
MCS huyer noiseless 1.00 (0.8)1.00 (1)1.2 (1)1.2 (1)2.7 (3)4.5 (7)18 (6)9/15
NELDERDOERR doerr noiseless 1.7 (1)1.6 (2)1.3 (1.0)1.2 (0.9)1.3 (0.7)1.00 (0.7)1.0 (0.7)15/15
SLSQP-11 -207 2.3 (3)1.5 (0.5)1.0 (1)1.0 (1)1.0 (0.9)1.2 (1)4.6 (11)9/15
BFGS-P-StPt 6.4 (4)4.1 (1)2.7 (0.1)2.5 (0.5)2.4 (0.5)1.8 (0.1)2.1 (0.8)15/15

Δ fopt
f13, 3-D		 1e1
49		 1e0
85		 1e-1
108		 1e-2
136		 1e-3
215		 1e-5
281		 1e-7
365		 #succ
15/15
NEWUOA ros noiseless 4.6 (1)9.0 (11)43 (58)62 (98)200 (163)∞∞2e40/15
BFGS ros noiseless 1.1 (0.4)1 (0.3)1.0 (0.2)1.00 (0.2)2.1 (2)409 (677)∞3e40/15
MCS huyer noiseless 14 (23)127 (121)374 (373)367 (342)711 (546)∞∞5e40/15
NELDERDOERR doerr noiseless 1.0 (0.4)1.1 (0.3)1.2 (0.8)1.3 (0.8)1.2 (0.4)1.2 (0.6)1.1 (0.7)★315/15
SLSQP-11 -207 0.89 (0.1)0.77 (0.1)0.79 (0.1)0.77 (0.1)★241 (88)287 (552)∞9e40/15
BFGS-P-StPt 1.3 (0.4)1.0 (0.1)1.1 (0.1)1.1 (0.1)0.80 (0.1)1.1 (0.1)539 (1047)11/15

Δ fopt
f14, 3-D		 1e1
2.0		 1e0
17		 1e-1
28		 1e-2
43		 1e-3
71		 1e-5
110		 1e-7
194		 #succ
15/15
NEWUOA ros noiseless 4.5 (2)1.1 (0.5)1.0 (0.4)1.0 (0.4)1.2 (0.1)3.1 (0.9)17 (10)9/15
BFGS ros noiseless 4.1 (2)1.5 (1)1.5 (1.0)1.3 (0.8)1.1 (0.2)1.0 (0.3)29 (27)4/15
MCS huyer noiseless 2.7 (4)12 (1)11 (11)7.9 (13)5.7 (8)50 (44)∞5e40/15
NELDERDOERR doerr noiseless 2.9 (2)1.1 (0.7)1.4 (0.3)1.8 (0.7)1.5 (0.4)1.6 (0.3)1.2 (0.3)15/15
SLSQP-11 -207 2.6 (2)0.90 (0.3)0.83 (0.4)0.85 (0.3)0.74 (0.3)★0.75 (0.2)★38 (97)11/15
BFGS-P-StPt 2.7 (3)0.94 (0.3)1.2 (0.4)1.3 (0.3)1.1 (0.2)1.2 (0.1)4.6 (3)15/15

Δ fopt
f15, 3-D		 1e1
121		 1e0
1372		 1e-1
6285		 1e-2
8282		 1e-3
8429		 1e-5
8787		 1e-7
9041		 #succ
15/15
NEWUOA ros noiseless 3.5 (8)3.4 (1)4.5 (4)3.4 (4)3.3 (2)3.2 (3)3.1 (3)6/15
BFGS ros noiseless 7.3 (6)17 (32)22 (15)17 (28)16 (18)16 (22)15 (22)1/15
MCS huyer noiseless 1.8 (3)1 (0.2)1.8 (3)1.4 (2)1.3 (1)1.6 (2)1.5 (2)15/15
NELDERDOERR doerr noiseless 1.4 (5)1.0 (2)2.5 (5)1.9 (8)1.9 (4)1.8 (3)1.8 (2)13/15
SLSQP-11 -207 5.0 (13)6.4 (6)9.2 (9)7.0 (9)6.8 (5)6.6 (5)6.4 (14)10/15
BFGS-P-StPt 21 (32)81 (116)∞∞∞∞∞2e40/15

Δ fopt
f16, 3-D		 1e1
41		 1e0
319		 1e-1
582		 1e-2
789		 1e-3
1864		 1e-5
3204		 1e-7
3361		 #succ
15/15
NEWUOA ros noiseless 4.4 (6)6.6 (6)12 (11)58 (58)149 (136)∞∞2e40/15
BFGS ros noiseless 71 (37)154 (164)∞∞∞∞∞2e40/15
MCS huyer noiseless 4.1 (8)2.1 (4)11 (11)33 (55)127 (182)∞∞5e40/15
NELDERDOERR doerr noiseless 1.2 (2)2.8 (4)3.4 (4)3.9 (3)★33.2 (3)★32.6 (1)★46.3 (6)14/15
SLSQP-11 -207 66 (134)367 (329)1750 (2064)∞∞∞∞7e40/15
BFGS-P-StPt 283 (231)668 (576)2347 (1986)∞∞∞∞9e40/15

Δ fopt
f17, 3-D		 1e1
4.0		 1e0
78		 1e-1
282		 1e-2
491		 1e-3
1134		 1e-5
2347		 1e-7
3469		 #succ
15/15
NEWUOA ros noiseless 2.4 (0.5)9.1 (9)19 (20)143 (146)∞∞∞2e40/15
BFGS ros noiseless 43 (77)45 (30)∞∞∞∞∞73360/15
MCS huyer noiseless 0.90 (0.8)2.6 (2)5.6 (5)16 (14)181 (144)∞∞5e40/15
NELDERDOERR doerr noiseless 1.7 (0.6)3.8 (2)8.5 (11)36 (82)69 (82)∞∞5e40/15
SLSQP-11 -207 2.1 (7)46 (51)∞∞∞∞∞6e40/15
BFGS-P-StPt 31 (18)156 (148)∞∞∞∞∞2e40/15

Δ fopt
f18, 3-D		 1e1
40		 1e0
145		 1e-1
1289		 1e-2
3084		 1e-3
3523		 1e-5
4738		 1e-7
5527		 #succ
15/15
NEWUOA ros noiseless 7.3 (7)17 (16)34 (48)∞∞∞∞2e40/15
BFGS ros noiseless 33 (49)∞∞∞∞∞∞84880/15
MCS huyer noiseless 4.0 (5)2.9 (1)20 (13)∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 1.9 (1)5.4 (6)7.0 (8)16 (21)72 (55)169 (144)∞6e40/15
SLSQP-11 -207 18 (14)582 (595)∞∞∞∞∞6e40/15
BFGS-P-StPt 104 (240)∞∞∞∞∞∞2e40/15

Δ fopt
f19, 3-D		 1e1
1		 1e0
1		 1e-1
109		 1e-2
6764		 1e-3
7367		 1e-5
7399		 1e-7
7441		 #succ
15/15
NEWUOA ros noiseless 20 (6)1275 (4029)280 (170)25 (16)54 (55)54 (53)53 (47)4/15
BFGS ros noiseless 113 (134)872 (590)162 (197)33 (50)∞∞∞1e40/15
MCS huyer noiseless 1 (0)1 (0)11 (25)1.0 (0.4)1.0 (0.5)★1 (0.4)★1.00 (0.4)★15/15
NELDERDOERR doerr noiseless 7.6 (6)146 (172)20 (7)5.4 (9)11 (11)11 (10)11 (25)7/15
SLSQP-11 -207 1 (0)1 (0)0.14 (0)★4∞∞∞∞9e40/15
BFGS-P-StPt 1 (0)1 (0)0.20 (0.1)60 (57)∞∞∞6e40/15

Δ fopt
f20, 3-D		 1e1
8.0		 1e0
385		 1e-1
2291		 1e-2
2398		 1e-3
2481		 1e-5
2573		 1e-7
2776		 #succ
15/15
NEWUOA ros noiseless 1.4 (0.2)1.1 (2)3.9 (5)3.7 (8)3.6 (3)3.4 (7)3.2 (7)12/15
BFGS ros noiseless 1.9 (1)1.7 (1)5.5 (6)5.3 (8)5.1 (5)4.9 (4)4.6 (3)8/15
MCS huyer noiseless 2.4 (2)3.2 (0.8)3.5 (0.5)3.4 (2)3.2 (2)3.1 (0.5)2.9 (1)15/15
NELDERDOERR doerr noiseless 1.8 (1)3.6 (5)10 (7)10 (8)10 (7)9.4 (23)8.7 (15)13/15
SLSQP-11 -207 1.4 (0)4.1 (6)11 (11)10 (11)10 (12)10 (6)8.9 (8)14/15
BFGS-P-StPt 15 (0)3.4 (2)3.0 (3)2.9 (4)2.8 (5)2.7 (4)2.5 (2)14/15

Δ fopt
f21, 3-D		 1e1
6.0		 1e0
184		 1e-1
425		 1e-2
439		 1e-3
458		 1e-5
469		 1e-7
482		 #succ
14/15
NEWUOA ros noiseless 1.6 (0.8)2.7 (1)3.5 (5)3.5 (5)3.4 (3)3.4 (3)3.4 (3)15/15
BFGS ros noiseless 2.1 (1)3.3 (3)3.5 (4)3.4 (2)3.3 (3)3.3 (2)3.2 (3)14/15
MCS huyer noiseless 6.2 (1)2.1 (2)4.4 (4)4.3 (7)4.1 (7)4.1 (4)4.2 (4)15/15
NELDERDOERR doerr noiseless 2.0 (1)2.8 (5)2.9 (4)2.8 (3)2.7 (3)2.7 (3)2.6 (2)15/15
SLSQP-11 -207 2.7 (3)1.8 (2)1.7 (3)1.6 (1)1.6 (2)1.6 (1)2.3 (4)15/15
BFGS-P-StPt 6.6 (8)2.8 (3)5.2 (4)5.1 (5)4.9 (4)5.3 (8)16 (23)6/15

Δ fopt
f22, 3-D		 1e1
18		 1e0
170		 1e-1
354		 1e-2
362		 1e-3
384		 1e-5
401		 1e-7
414		 #succ
15/15
NEWUOA ros noiseless 2.8 (4)2.5 (4)5.8 (2)5.8 (44)5.6 (13)5.5 (2)5.7 (12)14/15
BFGS ros noiseless 3.3 (3)2.6 (2)2.1 (2)2.1 (3)2.0 (1)2.0 (2)2.0 (2)15/15
MCS huyer noiseless 3.3 (4)1.6 (3)1.2 (2)1.2 (1)4.6 (9)4.5 (8)4.6 (1)15/15
NELDERDOERR doerr noiseless 4.1 (3)2.0 (2)2.2 (4)2.2 (1)2.1 (5)2.0 (1)2.0 (1)15/15
SLSQP-11 -207 2.2 (2)2.4 (0.9)2.1 (2)2.1 (2)2.0 (2)2.0 (0.5)2.1 (2)15/15
BFGS-P-StPt 2.6 (1)3.5 (3)3.7 (4)3.6 (3)3.4 (3)5.1 (5)16 (34)2/15

Δ fopt
f23, 3-D		 1e1
3.0		 1e0
407		 1e-1
906		 1e-2
1215		 1e-3
2214		 1e-5
2293		 1e-7
2393		 #succ
15/15
NEWUOA ros noiseless 10 (5)2.7 (3)24 (49)109 (85)∞∞∞2e40/15
BFGS ros noiseless 15 (12)8.7 (12)112 (191)∞∞∞∞1e40/15
MCS huyer noiseless 0.87 (0.3)2.7 (2)12 (9)39 (26)326 (255)∞∞5e40/15
NELDERDOERR doerr noiseless 5.8 (5)1.00 (1)1.0 (0.9)★21.0 (1)★31.1 (2)★21.4 (3)★31.4 (1)★415/15
SLSQP-11 -207 21 (30)6.6 (5)21 (24)22 (16)15 (17)83 (74)∞6e40/15
BFGS-P-StPt 126 (93)75 (72)754 (1710)∞∞∞∞9e40/15

Δ fopt
f24, 3-D		 1e1
97		 1e0
10391		 1e-1
1.0e5		 1e-2
3.6e5		 1e-3
3.6e5		 1e-5
3.6e5		 1e-7
3.6e5		 #succ
2/15
NEWUOA ros noiseless 2.5 (1)1.0 (0.8)∞∞∞∞∞2e40/15
BFGS ros noiseless 9.3 (7)∞∞∞∞∞∞86000/15
MCS huyer noiseless 17 (19)2.0 (1)1.0 (1)1 (1)1 (0.9)1 (1)1 (0.8)2/15
NELDERDOERR doerr noiseless 2.3 (3)1.5 (1)3.9 (7)2.4 (2)2.4 (2)2.4 (1)2.4 (4)1/15
SLSQP-11 -207 8.2 (7)3.2 (6)8.4 (12)∞∞∞∞6e40/15
BFGS-P-StPt 11 (8)25 (24)∞∞∞∞∞2e40/15

Previous dimension | Dimension = 5 | Next dimension

Δ fopt
f1, 5-D		 1e1
11		 1e0
12		 1e-1
12		 1e-2
12		 1e-3
12		 1e-5
12		 1e-7
12		 #succ
15/15
NEWUOA ros noiseless 1.1 (0)1.0 (0.1)1.0 (0.1)1.0 (0)1.0 (0)1.0 (0.1)1.0 (0.1)15/15
BFGS ros noiseless 1.2 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)15/15
MCS huyer noiseless 1 (0.1)1.9 (2)2.5 (2)2.6 (2)2.6 (2)2.6 (2)2.6 (2)15/15
NELDERDOERR doerr noiseless 1.5 (1)3.5 (1)5.6 (1)7.6 (2)10 (2)14 (3)18 (3)15/15
SLSQP-11 -207 0.91 (0)0.83 (0)★40.83 (0)★40.83 (0)★40.83 (0)★40.83 (0)★40.83 (0)★415/15
BFGS-P-StPt 1.5 (0)1.3 (0)1.3 (0)1.3 (0)1.3 (0)1.3 (0)1.4 (0.3)15/15

Δ fopt
f2, 5-D		 1e1
83		 1e0
87		 1e-1
88		 1e-2
89		 1e-3
90		 1e-5
92		 1e-7
94		 #succ
15/15
NEWUOA ros noiseless 5.7 (4)22 (16)46 (32)60 (32)85 (28)129 (68)166 (51)15/15
BFGS ros noiseless 3.9 (3)5.7 (3)6.3 (2)6.5 (2)6.6 (2)6.9 (1)7.1 (2)15/15
MCS huyer noiseless 1.1 (0.7)1.6 (1)2.2 (1)3.3 (0.3)4.7 (0.8)6.5 (1)29 (28)14/15
NELDERDOERR doerr noiseless 4.9 (3)8.2 (6)9.0 (5)9.3 (6)10 (5)10 (7)10 (7)15/15
SLSQP-11 -207 1.1 (0.1)1.2 (0.5)1.3 (0.5)1.4 (0.4)★21.5 (0.6)★21.8 (0.7)★31.9 (0.3)★215/15
BFGS-P-StPt 2.5 (1)2.5 (1)2.6 (1)2.8 (1)2.9 (1)3.2 (0.9)3.4 (1)15/15

Δ fopt
f3, 5-D		 1e1
716		 1e0
1622		 1e-1
1637		 1e-2
1642		 1e-3
1646		 1e-5
1650		 1e-7
1654		 #succ
15/15
NEWUOA ros noiseless 6.1 (9)229 (218)∞∞∞∞∞3e40/15
BFGS ros noiseless 107 (149)∞∞∞∞∞∞2e40/15
MCS huyer noiseless 1.2 (1)24 (40)216 (285)215 (248)215 (92)214 (199)214 (284)2/15
NELDERDOERR doerr noiseless 1.5 (2)33 (48)268 (380)268 (302)267 (283)266 (286)266 (498)3/15
SLSQP-11 -207 17 (15)879 (624)∞∞∞∞∞1e50/15
BFGS-P-StPt 97 (160)∞∞∞∞∞∞3e40/15

Δ fopt
f4, 5-D		 1e1
809		 1e0
1633		 1e-1
1688		 1e-2
1758		 1e-3
1817		 1e-5
1886		 1e-7
1903		 #succ
15/15
NEWUOA ros noiseless 27 (18)305 (269)∞∞∞∞∞3e40/15
BFGS ros noiseless 169 (128)∞∞∞∞∞∞2e40/15
MCS huyer noiseless 4.1 (6)∞∞∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 7.1 (6)898 (1163)870 (563)835 (796)808 (702)779 (756)772 (985)1/15
SLSQP-11 -207 59 (26)∞∞∞∞∞∞1e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞3e40/15

Δ fopt
f5, 5-D		 1e1
10		 1e0
10		 1e-1
10		 1e-2
10		 1e-3
10		 1e-5
10		 1e-7
10		 #succ
15/15
NEWUOA ros noiseless 1.3 (0.1)1.5 (0.3)1.5 (0.2)1.5 (0.3)1.5 (0.2)1.5 (0.2)1.5 (0.3)15/15
BFGS ros noiseless 1.9 (0.3)3.0 (0.9)3.1 (0.6)3.1 (1)3.1 (0.6)3.1 (0.9)3.1 (0.5)15/15
MCS huyer noiseless 1 (0)★21 (0)★41 (0)★41 (0)★41 (0)★41 (0)★41 (0)★415/15
NELDERDOERR doerr noiseless 1.9 (0.7)2.4 (0.9)2.5 (0.8)2.5 (0.8)2.5 (0.6)2.5 (0.9)2.5 (0.8)15/15
SLSQP-11 -207 1.6 (0)2.3 (0)3.0 (0)3.0 (0)3.0 (0)3.0 (0)3.0 (0)15/15
BFGS-P-StPt 1.6 (0)2.3 (0)3.0 (0)3.0 (0)3.0 (0)3.0 (0)3.0 (0)15/15

Δ fopt
f6, 5-D		 1e1
114		 1e0
214		 1e-1
281		 1e-2
404		 1e-3
580		 1e-5
1038		 1e-7
1332		 #succ
15/15
NEWUOA ros noiseless 1.7 (1)2.4 (1)3.6 (2)3.6 (1)3.3 (1)2.7 (1)2.9 (1)15/15
BFGS ros noiseless 3.0 (2)3.3 (1)3.4 (1)3.0 (1)2.5 (0.9)2.0 (0.6)7.8 (4)15/15
MCS huyer noiseless 2.7 (4)47 (193)41 (95)61 (54)71 (111)46 (88)54 (75)4/15
NELDERDOERR doerr noiseless 5.1 (7)5.6 (7)5.6 (9)4.9 (4)5.3 (5)5.6 (5)8.5 (8)14/15
SLSQP-11 -207 2.9 (1)2.1 (1)2.2 (1)1.7 (0.9)1.4 (0.5)0.99 (0.8)★2.2 (3)15/15
BFGS-P-StPt 3.7 (2)2.5 (1)2.9 (2)2.5 (0.7)2.1 (0.8)1.6 (0.4)6.8 (10)15/15

Δ fopt
f7, 5-D		 1e1
24		 1e0
324		 1e-1
1171		 1e-2
1451		 1e-3
1572		 1e-5
1572		 1e-7
1597		 #succ
15/15
NEWUOA ros noiseless 10 (19)13 (17)60 (76)∞∞∞∞3e40/15
BFGS ros noiseless ∞∞∞∞∞∞∞6000/15
MCS huyer noiseless 2.8 (4)5.9 (4)13 (12)141 (302)∞∞∞5e40/15
NELDERDOERR doerr noiseless 1.3 (0.5)7.5 (7)15 (17)39 (27)71 (44)71 (85)71 (75)9/15
SLSQP-11 -207 286 (368)1064 (1325)∞∞∞∞∞1e50/15
BFGS-P-StPt 220 (643)∞∞∞∞∞∞8000/15

Δ fopt
f8, 5-D		 1e1
73		 1e0
273		 1e-1
336		 1e-2
372		 1e-3
391		 1e-5
410		 1e-7
422		 #succ
15/15
NEWUOA ros noiseless 1.0 (1.0)1.1 (0.5)1.2 (0.9)1.2 (1)1.2 (0.8)1.2 (0.7)1.2 (0.3)15/15
BFGS ros noiseless 2.1 (0.9)1.8 (2)1.6 (2)1.5 (2)1.5 (0.6)1.5 (2)1.5 (1)15/15
MCS huyer noiseless 1.5 (0.9)1.0 (1)1.0 (0.7)1.0 (0.8)1.1 (0.9)1.1 (0.6)1.1 (0.6)15/15
NELDERDOERR doerr noiseless 2.1 (3)2.4 (2)2.4 (1)2.3 (2)2.3 (1)2.4 (1)2.4 (1)15/15
SLSQP-11 -207 1.3 (0.5)1.1 (0.7)1.0 (0.7)1.0 (0.6)1.0 (0.5)1.0 (0.6)1.0 (0.7)15/15
BFGS-P-StPt 1.9 (0.3)1.0 (0.4)1.1 (0.2)1.1 (0.3)1.1 (0.1)1.1 (0.2)1.1 (0.2)15/15

Δ fopt
f9, 5-D		 1e1
35		 1e0
127		 1e-1
214		 1e-2
263		 1e-3
300		 1e-5
335		 1e-7
369		 #succ
15/15
NEWUOA ros noiseless 1.8 (0.5)3.6 (2)2.5 (3)2.1 (1)1.9 (2)1.9 (0.9)1.7 (0.9)15/15
BFGS ros noiseless 3.6 (2)3.0 (1)2.0 (1)1.8 (1)1.6 (0.9)1.5 (0.8)1.4 (0.5)15/15
MCS huyer noiseless 0.99 (0.5)1 (0.2)1 (0.2)1.0 (0.2)1.0 (0.0)1.0 (0.2)1 (0.1)15/15
NELDERDOERR doerr noiseless 2.3 (4)3.1 (2)2.5 (0.3)2.3 (0.7)2.1 (0.8)2.1 (1.0)2.0 (0.4)15/15
SLSQP-11 -207 0.63 (0)0.46 (0)★40.54 (0)★40.55 (0)★40.53 (0)★40.51 (0)★40.50 (0)★415/15
BFGS-P-StPt 1.1 (0)0.73 (0)0.63 (0)0.61 (0.0)0.62 (0.0)0.60 (0.0)0.57 (9e-3)15/15

Δ fopt
f10, 5-D		 1e1
349		 1e0
500		 1e-1
574		 1e-2
607		 1e-3
626		 1e-5
829		 1e-7
880		 #succ
15/15
NEWUOA ros noiseless 3.1 (6)5.5 (3)8.1 (5)11 (7)14 (7)16 (7)21 (9)15/15
BFGS ros noiseless 1.0 (0.6)1.00 (0.2)1.0 (0.4)1 (0.4)1.00 (0.3)1.1 (0.5)23 (42)5/15
MCS huyer noiseless 277 (359)∞∞∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 1.2 (0.9)1.3 (0.5)1.2 (0.5)1.2 (0.3)1.2 (0.6)1.0 (0.2)1.00 (0.2)15/15
SLSQP-11 -207 0.25 (0.0)★30.20 (0.0)★30.19 (0.0)★30.19 (0.0)★30.20 (0.1)★30.22 (0.1)★323 (41)10/15
BFGS-P-StPt 0.67 (0.3)0.48 (0.2)0.44 (0.2)0.46 (0.1)0.51 (0.2)0.46 (0.1)0.46 (0.1)15/15

Δ fopt
f11, 5-D		 1e1
143		 1e0
202		 1e-1
763		 1e-2
977		 1e-3
1177		 1e-5
1467		 1e-7
1673		 #succ
15/15
NEWUOA ros noiseless 3.5 (1)4.7 (1)1.8 (0.6)1.7 (0.3)1.8 (0.6)2.0 (0.3)2.2 (0.4)15/15
BFGS ros noiseless 1.00 (0.2)1.00 (0.5)1.1 (0.9)1.9 (2)8.2 (12)199 (99)∞4e40/15
MCS huyer noiseless 82 (106)461 (337)∞∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 4.5 (5)4.7 (3)1.5 (0.8)1.4 (0.8)1.2 (0.5)1.1 (0.2)1.2 (0.7)15/15
SLSQP-11 -207 0.28 (0.1)0.27 (0.1)0.08 (0.0)0.07 (0.0)0.07 (0.0)7.2 (18)195 (263)0/15
BFGS-P-StPt 0.90 (0.9)0.73 (0.3)0.21 (0.1)0.18 (0.1)0.18 (0.2)0.17 (0.2)0.17 (0.1)★315/15

Δ fopt
f12, 5-D		 1e1
108		 1e0
268		 1e-1
371		 1e-2
413		 1e-3
461		 1e-5
1303		 1e-7
1494		 #succ
15/15
NEWUOA ros noiseless 3.5 (3)2.6 (2)2.5 (2)2.5 (2)2.6 (2)1.1 (0.7)1.1 (0.7)15/15
BFGS ros noiseless 1.1 (0.8)1.00 (0.6)1.00 (0.7)1 (0.8)1.0 (0.6)2.0 (4)49 (76)5/15
MCS huyer noiseless 1.0 (0.2)18 (56)17 (13)15 (21)22 (11)26 (36)56 (84)6/15
NELDERDOERR doerr noiseless 4.4 (4)2.9 (4)2.7 (0.7)2.7 (3)2.7 (2)1.1 (1)1.2 (0.9)15/15
SLSQP-11 -207 2.8 (3)1.7 (2)1.5 (1)1.5 (2)1.5 (1)0.88 (2)4.2 (9)11/15
BFGS-P-StPt 7.9 (6)4.8 (2)4.2 (2)4.1 (2)3.9 (1)1.6 (0.3)1.5 (0.5)15/15

Δ fopt
f13, 5-D		 1e1
132		 1e0
195		 1e-1
250		 1e-2
319		 1e-3
1310		 1e-5
1752		 1e-7
2255		 #succ
15/15
NEWUOA ros noiseless 3.2 (3)9.3 (6)35 (40)55 (51)54 (76)335 (460)∞4e40/15
BFGS ros noiseless 1.0 (0.2)1.00 (0.1)1.00 (0.0)1.0 (0.1)4.8 (0.7)136 (174)∞5e40/15
MCS huyer noiseless 41 (19)214 (352)462 (415)2259 (2743)550 (439)∞∞5e40/15
NELDERDOERR doerr noiseless 2.4 (4)2.4 (4)5.2 (5)6.1 (9)1.9 (1)3.9 (3)5.0 (10)★215/15
SLSQP-11 -207 0.76 (0.1)0.74 (0.1)0.76 (0.0)★0.73 (0.0)★435 (45)437 (285)∞1e50/15
BFGS-P-StPt 0.95 (0.1)0.86 (0.1)0.85 (0.1)0.85 (0.0)0.24 (0.0)0.86 (0.6)863 (1194)2/15

Δ fopt
f14, 5-D		 1e1
10		 1e0
41		 1e-1
58		 1e-2
90		 1e-3
139		 1e-5
251		 1e-7
476		 #succ
15/15
NEWUOA ros noiseless 1.6 (0.6)1.00 (0.3)1.0 (0.2)1 (0.2)1.2 (0.3)5.5 (2)2523 (1587)0/15
BFGS ros noiseless 2.2 (1)1.7 (1)1.8 (0.9)1.5 (0.6)1.3 (0.6)1.0 (0.3)350 (449)0/15
MCS huyer noiseless 1.4 (2)2.8 (3)2.7 (2)2.5 (2)2.8 (0.8)225 (166)∞5e40/15
NELDERDOERR doerr noiseless 1.0 (0.9)1.1 (0.7)1.4 (0.3)1.6 (0.5)1.7 (0.6)1.6 (0.3)1.3 (0.3)15/15
SLSQP-11 -207 0.89 (0.8)0.58 (0.2)0.74 (0.2)0.77 (0.1)★0.70 (0.2)★0.59 (0.1)★2512 (1170)3/15
BFGS-P-StPt 1 (0.8)0.60 (0.3)0.86 (0.3)0.97 (0.1)0.88 (0.1)0.81 (0.1)2.2 (2)14/15

Δ fopt
f15, 5-D		 1e1
511		 1e0
9310		 1e-1
19369		 1e-2
19743		 1e-3
20073		 1e-5
20769		 1e-7
21359		 #succ
14/15
NEWUOA ros noiseless 5.8 (4)41 (45)∞∞∞∞∞3e40/15
BFGS ros noiseless 87 (61)∞∞∞∞∞∞2e40/15
MCS huyer noiseless 4.0 (3)25 (15)38 (28)38 (55)37 (38)36 (40)∞5e40/15
NELDERDOERR doerr noiseless 4.5 (5)20 (18)73 (104)72 (112)71 (76)69 (72)67 (86)1/15
SLSQP-11 -207 30 (43)153 (182)∞∞∞∞∞1e50/15
BFGS-P-StPt 153 (159)∞∞∞∞∞∞3e40/15

Δ fopt
f16, 5-D		 1e1
120		 1e0
612		 1e-1
2662		 1e-2
10163		 1e-3
10449		 1e-5
11644		 1e-7
12095		 #succ
15/15
NEWUOA ros noiseless 2.1 (7)29 (25)∞∞∞∞∞4e40/15
BFGS ros noiseless 153 (147)960 (2737)∞∞∞∞∞4e40/15
MCS huyer noiseless 1.9 (2)18 (26)131 (303)∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 1.6 (2)4.8 (6)10 (4)★26.3 (10)13 (16)59 (62)119 (107)0/15
SLSQP-11 -207 250 (321)∞∞∞∞∞∞1e50/15
BFGS-P-StPt 716 (1184)∞∞∞∞∞∞2e50/15

Δ fopt
f17, 5-D		 1e1
5.0		 1e0
215		 1e-1
899		 1e-2
2861		 1e-3
3669		 1e-5
6351		 1e-7
7934		 #succ
15/15
NEWUOA ros noiseless 2.4 (1)40 (10)618 (609)∞∞∞∞3e40/15
BFGS ros noiseless 125 (204)645 (1289)∞∞∞∞∞2e40/15
MCS huyer noiseless 2.0 (2)24 (24)63 (140)∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 2.0 (2)10 (19)48 (38)∞∞∞∞1e50/15
SLSQP-11 -207 31 (27)300 (418)∞∞∞∞∞1e50/15
BFGS-P-StPt 55 (98)2610 (2763)∞∞∞∞∞3e40/15

Δ fopt
f18, 5-D		 1e1
103		 1e0
378		 1e-1
3968		 1e-2
8451		 1e-3
9280		 1e-5
10905		 1e-7
12469		 #succ
15/15
NEWUOA ros noiseless 32 (76)1350 (1798)∞∞∞∞∞9e40/15
BFGS ros noiseless 57 (106)∞∞∞∞∞∞2e40/15
MCS huyer noiseless 19 (25)154 (408)∞∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 4.3 (7)28 (37)★43 (34)∞∞∞∞1e50/15
SLSQP-11 -207 46 (64)∞∞∞∞∞∞1e50/15
BFGS-P-StPt 75 (94)∞∞∞∞∞∞4e40/15

Δ fopt
f19, 5-D		 1e1
1		 1e0
1		 1e-1
242		 1e-2
1.0e5		 1e-3
1.2e5		 1e-5
1.2e5		 1e-7
1.2e5		 #succ
15/15
NEWUOA ros noiseless 14 (2)2.7e4 (1e4)1417 (1367)∞∞∞∞5e50/15
BFGS ros noiseless 1655 (2856)2.2e4 (1e4)1781 (2503)∞∞∞∞3e40/15
MCS huyer noiseless 1 (0)1 (0)1.0 (0.4)∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 12 (8)340 (228)107 (153)14 (21)∞∞∞1e50/15
SLSQP-11 -207 1 (0)1 (0)0.12 (0)∞∞∞∞1e50/15
BFGS-P-StPt 1 (0)1 (0)0.14 (0.0)∞∞∞∞1e50/15

Δ fopt
f20, 5-D		 1e1
16		 1e0
851		 1e-1
38111		 1e-2
51362		 1e-3
54470		 1e-5
54861		 1e-7
55313		 #succ
14/15
NEWUOA ros noiseless 1 (0.2)3.3 (3)∞∞∞∞∞3e40/15
BFGS ros noiseless 1.8 (0.5)2.5 (2)10 (13)7.6 (7)7.2 (14)7.1 (5)7.1 (11)1/15
MCS huyer noiseless 2.7 (1)1.00 (1.0)9.1 (8)6.8 (9)6.4 (11)6.4 (8)6.3 (14)2/15
NELDERDOERR doerr noiseless 2.2 (2)8.5 (5)37 (47)28 (22)26 (19)26 (19)26 (24)1/15
SLSQP-11 -207 0.81 (0)2.3 (2)∞∞∞∞∞1e50/15
BFGS-P-StPt 7.7 (1)3.3 (3)1.5 (3)1.1 (1.0)1.1 (0.6)1.1 (2)1.1 (1)7/15

Δ fopt
f21, 5-D		 1e1
41		 1e0
1157		 1e-1
1674		 1e-2
1692		 1e-3
1705		 1e-5
1729		 1e-7
1757		 #succ
14/15
NEWUOA ros noiseless 1.1 (0.2)2.2 (4)1.8 (4)1.8 (3)1.8 (2)1.8 (1)1.9 (0.7)15/15
BFGS ros noiseless 3.8 (4)1.4 (2)1.9 (2)1.9 (2)1.9 (3)1.9 (3)2.0 (3)15/15
MCS huyer noiseless 1.0 (0.9)3.9 (8)5.1 (5)5.1 (10)5.0 (5)5.0 (3)5.0 (6)14/15
NELDERDOERR doerr noiseless 2.9 (6)1.5 (1)1.2 (1)1.2 (0.2)1.2 (0.4)1.2 (1.0)1.2 (1)15/15
SLSQP-11 -207 1.3 (2)0.81 (0.7)1.3 (0.6)1.2 (2)1.2 (2)1.3 (2)1.4 (3)15/15
BFGS-P-StPt 4.4 (9)1.6 (1)2.1 (5)2.1 (1.0)2.1 (0.8)2.7 (3)16 (16)3/15

Δ fopt
f22, 5-D		 1e1
71		 1e0
386		 1e-1
938		 1e-2
980		 1e-3
1008		 1e-5
1040		 1e-7
1068		 #succ
14/15
NEWUOA ros noiseless 2.1 (3)2.1 (4)2.0 (3)2.0 (4)2.1 (1)2.3 (4)2.4 (4)15/15
BFGS ros noiseless 3.1 (3)2.9 (4)2.1 (3)2.1 (1)2.0 (2)2.0 (2)2.6 (1)14/15
MCS huyer noiseless 1.0 (0.5)1.1 (1)12 (11)11 (13)11 (15)11 (9)15 (10)14/15
NELDERDOERR doerr noiseless 2.5 (7)2.5 (2)2.1 (2)2.0 (4)2.0 (1.0)2.0 (3)2.1 (1)15/15
SLSQP-11 -207 1.8 (1)1.1 (0.7)1.8 (4)1.7 (1)1.7 (4)1.7 (1)2.0 (1)14/15
BFGS-P-StPt 3.7 (4)2.6 (2)3.0 (3)2.9 (2)2.8 (3)6.9 (8)189 (163)1/15

Δ fopt
f23, 5-D		 1e1
3.0		 1e0
518		 1e-1
14249		 1e-2
27890		 1e-3
31654		 1e-5
33030		 1e-7
34256		 #succ
15/15
NEWUOA ros noiseless 6.2 (3)2.4 (2)7.1 (5)∞∞∞∞3e40/15
BFGS ros noiseless 11 (8)31 (26)∞∞∞∞∞2e40/15
MCS huyer noiseless 3.4 (3)2.4 (2)51 (78)∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 1.5 (0.8)1.00 (1)1.0 (0.4)★23.6 (5)15 (15)∞∞1e50/15
SLSQP-11 -207 27 (74)13 (12)17 (26)25 (31)∞∞∞1e50/15
BFGS-P-StPt 126 (369)284 (327)∞∞∞∞∞2e50/15

Δ fopt
f24, 5-D		 1e1
1622		 1e0
2.2e5		 1e-1
6.4e6		 1e-2
9.6e6		 1e-3
9.6e6		 1e-5
1.3e7		 1e-7
1.3e7		 #succ
3/15
NEWUOA ros noiseless 2.9 (2)2.1 (2)∞∞∞∞∞3e40/15
BFGS ros noiseless 69 (96)∞∞∞∞∞∞2e40/15
MCS huyer noiseless 7.0 (8)3.5 (4)∞∞∞∞∞5e40/15
NELDERDOERR doerr noiseless 1.0 (1)1.4 (0.9)∞∞∞∞∞1e50/15
SLSQP-11 -207 6.4 (7)∞∞∞∞∞∞1e50/15
BFGS-P-StPt 53 (50)∞∞∞∞∞∞3e40/15

Previous dimension | Dimension = 10 | Next dimension

Δ fopt
f1, 10-D		 1e1
22		 1e0
23		 1e-1
23		 1e-2
23		 1e-3
23		 1e-5
23		 1e-7
23		 #succ
15/15
NEWUOA ros noiseless 1 (0)0.99 (0.0)0.99 (0.0)1.0 (0.1)1.0 (0.0)1.0 (0.0)1.0 (0.1)15/15
BFGS ros noiseless 1.0 (0)1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)15/15
MCS huyer noiseless 1.2 (0.3)2.0 (2)2.0 (1.0)2.2 (2)2.9 (0.9)2.9 (2)2.9 (2)15/15
NELDERDOERR doerr noiseless 2.4 (2)5.2 (2)8.1 (3)11 (4)14 (4)21 (5)32 (8)15/15
SLSQP-11 -207 0.68 (0)★40.65 (0)★40.65 (0)★40.65 (0)★40.65 (0)★40.65 (0)★40.65 (0)★415/15
BFGS-P-StPt 1.2 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.7 (0.5)13/15

Δ fopt
f2, 10-D		 1e1
187		 1e0
190		 1e-1
191		 1e-2
191		 1e-3
193		 1e-5
194		 1e-7
195		 #succ
15/15
NEWUOA ros noiseless 13 (7)37 (23)74 (46)104 (47)147 (72)219 (96)301 (59)15/15
BFGS ros noiseless 10 (4)12 (3)14 (2)14 (2)14 (2)15 (2)15 (2)15/15
MCS huyer noiseless 3.1 (1.0)4.6 (2)6.5 (2)7.6 (3)10 (4)11 (2)107 (103)2/15
NELDERDOERR doerr noiseless 22 (12)52 (28)83 (45)102 (109)119 (146)128 (109)203 (340)14/15
SLSQP-11 -207 1.6 (0.4)★31.6 (0.5)★31.7 (0.5)★31.9 (0.5)★32.0 (0.4)★32.3 (0.6)★32.6 (0.8)★315/15
BFGS-P-StPt 2.6 (0.1)2.8 (1)3.0 (1)3.3 (0.9)3.6 (2)4.0 (2)4.3 (2)15/15

Δ fopt
f3, 10-D		 1e1
1739		 1e0
3600		 1e-1
3609		 1e-2
3636		 1e-3
3642		 1e-5
3646		 1e-7
3651		 #succ
15/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞6e40/15
BFGS ros noiseless ∞∞∞∞∞∞∞5e40/15
MCS huyer noiseless 11 (13)★3∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 179 (213)∞∞∞∞∞∞2e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞2e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞8e40/15

Δ fopt
f4, 10-D		 1e1
2234		 1e0
3626		 1e-1
3660		 1e-2
3695		 1e-3
3707		 1e-5
3744		 1e-7
28767		 #succ
12/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞7e40/15
BFGS ros noiseless ∞∞∞∞∞∞∞5e40/15
MCS huyer noiseless 27 (18)★4∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless ∞∞∞∞∞∞∞2e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞2e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞9e40/15

Δ fopt
f5, 10-D		 1e1
20		 1e0
20		 1e-1
20		 1e-2
20		 1e-3
20		 1e-5
20		 1e-7
20		 #succ
15/15
NEWUOA ros noiseless 1.2 (0.1)1.4 (0.1)1.4 (0.2)1.4 (0.2)1.4 (0.2)1.4 (0.2)1.4 (0.2)15/15
BFGS ros noiseless 2.2 (0.3)2.8 (0.3)2.9 (0.6)2.9 (0.6)2.9 (0.6)2.9 (0.4)2.9 (0.4)15/15
MCS huyer noiseless 1.0 (0.0)★41.0 (0.0)★41.0 (0.0)★41.0 (0.0)★41.0 (0.0)★41.0 (0.0)★41.0 (0.0)★415/15
NELDERDOERR doerr noiseless 3.1 (1)4.1 (1.0)4.2 (1)4.2 (1)4.2 (1)4.2 (1)4.2 (1)15/15
SLSQP-11 -207 1.3 (0)2.5 (0)2.5 (0)2.5 (0)2.5 (0)2.5 (0)2.5 (0)15/15
BFGS-P-StPt 1.3 (0)2.5 (0)2.5 (0)2.5 (0)2.5 (0)2.5 (0)2.5 (0)15/15

Δ fopt
f6, 10-D		 1e1
412		 1e0
623		 1e-1
826		 1e-2
1039		 1e-3
1292		 1e-5
1841		 1e-7
2370		 #succ
15/15
NEWUOA ros noiseless 2.0 (2)3.2 (3)4.0 (4)4.9 (6)5.5 (8)5.9 (8)6.2 (5)15/15
BFGS ros noiseless 3.7 (1)4.2 (1)4.5 (1)4.6 (1)4.5 (2)4.5 (2)66 (47)0/15
MCS huyer noiseless 18 (17)174 (87)169 (195)280 (127)∞∞∞4e40/15
NELDERDOERR doerr noiseless 3.7 (4)10 (5)15 (5)18 (7)25 (21)256 (237)∞2e50/15
SLSQP-11 -207 2.3 (0.7)2.0 (1)2.1 (0.4)2.3 (0.3)2.3 (0.6)2.4 (0.5)8.4 (4)4/15
BFGS-P-StPt 4.1 (2)3.7 (2)4.3 (2)4.5 (1)4.7 (1)4.8 (1)95 (134)8/15

Δ fopt
f7, 10-D		 1e1
172		 1e0
1611		 1e-1
4195		 1e-2
5099		 1e-3
5141		 1e-5
5141		 1e-7
5389		 #succ
15/15
NEWUOA ros noiseless 27 (39)1041 (602)∞∞∞∞∞1e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞11000/15
MCS huyer noiseless 53 (59)∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 59 (100)404 (384)∞∞∞∞∞2e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞2e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞13000/15

Δ fopt
f8, 10-D		 1e1
326		 1e0
921		 1e-1
1114		 1e-2
1217		 1e-3
1267		 1e-5
1315		 1e-7
1343		 #succ
15/15
NEWUOA ros noiseless 1.0 (0.5)1.5 (1)1.3 (2)1.3 (1)1.3 (1)1.3 (0.5)1.3 (0.8)15/15
BFGS ros noiseless 1.7 (0.5)1.5 (0.5)1.3 (0.5)1.3 (0.4)1.3 (0.8)1.2 (0.4)1.2 (0.5)15/15
MCS huyer noiseless 1.0 (0.5)1.4 (2)1.3 (2)1.3 (1)1.3 (0.9)1.3 (1)1.3 (1)15/15
NELDERDOERR doerr noiseless 1.3 (0.2)2.2 (2)2.7 (2)2.9 (1)3.1 (0.3)3.3 (0.8)3.6 (0.8)15/15
SLSQP-11 -207 1.4 (0.7)1.1 (0.3)0.97 (0.4)0.94 (0.3)0.93 (0.4)0.92 (0.4)0.91 (0.4)15/15
BFGS-P-StPt 1.9 (0.6)2.1 (2)1.8 (1)1.7 (1)1.7 (1)1.7 (2)1.6 (1.0)15/15

Δ fopt
f9, 10-D		 1e1
200		 1e0
648		 1e-1
857		 1e-2
993		 1e-3
1065		 1e-5
1138		 1e-7
1185		 #succ
15/15
NEWUOA ros noiseless 1.7 (0.5)1.7 (1)1.4 (0.8)1.3 (0.5)1.2 (0.7)1.2 (0.4)1.2 (0.4)15/15
BFGS ros noiseless 2.1 (1)1.9 (1.0)1.6 (0.6)1.4 (0.4)1.4 (0.4)1.3 (0.5)1.3 (0.2)15/15
MCS huyer noiseless 1.0 (0.1)1.0 (0.4)1.0 (0.3)1.0 (0.2)1.0 (0.3)1 (0.2)1.0 (0.2)15/15
NELDERDOERR doerr noiseless 2.7 (7)7.1 (7)6.5 (5)6.1 (4)6.0 (4)6.0 (3)6.0 (3)15/15
SLSQP-11 -207 0.82 (0)0.39 (0)★40.39 (0)★40.39 (0)★40.39 (0)★40.39 (0)★40.39 (0)★415/15
BFGS-P-StPt 1.3 (0)0.54 (0)0.52 (0)0.52 (0)0.51 (6e-3)0.51 (8e-3)0.51 (8e-3)15/15

Δ fopt
f10, 10-D		 1e1
1835		 1e0
2172		 1e-1
2455		 1e-2
2728		 1e-3
2802		 1e-5
4543		 1e-7
4739		 #succ
15/15
NEWUOA ros noiseless 2.1 (2)3.8 (3)6.0 (5)7.4 (2)10 (5)9.2 (4)12 (4)15/15
BFGS ros noiseless 1.0 (0.4)1.00 (0.4)1.00 (0.2)1.0 (0.2)1.0 (0.6)1.3 (0.5)924 (939)0/15
MCS huyer noiseless ∞∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 9.5 (4)25 (17)34 (39)57 (49)335 (652)∞∞2e50/15
SLSQP-11 -207 0.16 (0.1)★40.15 (0.0)★40.14 (0.1)★40.14 (0.0)★40.15 (0.1)★40.10 (0.0)★45.3 (20)9/15
BFGS-P-StPt 0.35 (0.0)0.32 (0.0)0.30 (0.1)0.29 (0.0)0.31 (0.0)0.21 (0.0)0.22 (0.0)15/15

Δ fopt
f11, 10-D		 1e1
266		 1e0
1041		 1e-1
2602		 1e-2
2954		 1e-3
3338		 1e-5
4092		 1e-7
4843		 #succ
15/15
NEWUOA ros noiseless 11 (2)5.5 (1)3.1 (0.8)3.4 (0.8)4.0 (0.6)4.3 (0.7)4.6 (0.8)15/15
BFGS ros noiseless 1.0 (0.2)1.00 (0.5)1.7 (0.9)6.0 (9)56 (17)∞∞8e40/15
MCS huyer noiseless ∞∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 13 (2)7.8 (5)5.4 (3)10 (17)17 (17)93 (50)∞2e50/15
SLSQP-11 -207 0.25 (0.1)★40.09 (0.0)★40.04 (0.0)★40.04 (0.0)★40.05 (8e-3)★40.62 (4)85 (81)0/15
BFGS-P-StPt 1.5 (2)0.45 (0.5)0.20 (0.2)0.19 (0.2)0.18 (0.1)0.17 (0.2)0.35 (0.6)★212/15

Δ fopt
f12, 10-D		 1e1
515		 1e0
896		 1e-1
1240		 1e-2
1390		 1e-3
1569		 1e-5
3660		 1e-7
5154		 #succ
15/15
NEWUOA ros noiseless 1.9 (1)2.0 (2)2.1 (2)2.3 (2)2.3 (1)1.2 (0.7)1.0 (0.4)15/15
BFGS ros noiseless 1.3 (0.6)1.4 (0.7)1.4 (0.4)1.3 (0.4)1.3 (0.4)2.6 (0.4)23 (13)9/15
MCS huyer noiseless 3.2 (3)3.9 (4)7.0 (19)11 (11)13 (7)76 (39)113 (190)1/15
NELDERDOERR doerr noiseless 3.0 (0.3)6.1 (10)7.2 (5)7.6 (5)7.7 (4)4.3 (4)6.5 (7)15/15
SLSQP-11 -207 1.9 (1)1.6 (1)1.4 (0.6)1.3 (0.7)1.3 (0.7)1.2 (2)4.2 (3)10/15
BFGS-P-StPt 3.5 (2)2.8 (1)2.4 (0.7)2.3 (0.3)2.1 (0.0)1.1 (0.4)1.0 (0.5)15/15

Δ fopt
f13, 10-D		 1e1
387		 1e0
596		 1e-1
797		 1e-2
1014		 1e-3
4587		 1e-5
6208		 1e-7
7779		 #succ
15/15
NEWUOA ros noiseless 2.0 (2)9.0 (12)20 (27)42 (38)29 (18)∞∞8e40/15
BFGS ros noiseless 1.00 (0.2)1.0 (0.1)1.00 (0.1)1.00 (0.1)86 (91)∞∞1e50/15
MCS huyer noiseless 37 (60)44 (35)59 (104)283 (710)∞∞∞4e40/15
NELDERDOERR doerr noiseless 7.2 (12)16 (19)40 (26)76 (66)64 (67)479 (564)∞2e50/15
SLSQP-11 -207 0.65 (0.0)0.64 (0.0)★20.62 (0.0)★40.61 (0.0)★452 (75)266 (254)∞3e50/15
BFGS-P-StPt 0.82 (0.1)0.79 (0.1)0.73 (0.0)0.71 (0.0)0.18 (3e-3)102 (131)4039 (2617)0/15

Δ fopt
f14, 10-D		 1e1
37		 1e0
98		 1e-1
133		 1e-2
205		 1e-3
392		 1e-5
687		 1e-7
4305		 #succ
15/15
NEWUOA ros noiseless 1.00 (0.4)1.0 (0.5)1.00 (0.1)1.00 (0.1)1.00 (0.1)7.3 (0.7)566 (230)0/15
BFGS ros noiseless 1.6 (0.3)1.6 (0.7)1.6 (0.7)1.4 (0.3)1.0 (0.3)1.00 (0.6)∞9e40/15
MCS huyer noiseless 1.1 (0.2)2.4 (0.2)2.9 (1)2.8 (0.8)2.8 (2)∞∞4e40/15
NELDERDOERR doerr noiseless 1.1 (1)2.4 (0.8)2.8 (5)3.5 (3)3.7 (2)6.2 (3)43 (36)0/15
SLSQP-11 -207 0.66 (0.2)0.58 (0.1)0.70 (0.2)★20.74 (0.1)★20.56 (0.1)★20.53 (0.0)★3727 (958)0/15
BFGS-P-StPt 1.1 (0.3)0.76 (0.3)0.94 (0.2)1.0 (0.3)0.74 (0.1)0.68 (0.1)3.7 (7)★22/15

Δ fopt
f15, 10-D		 1e1
4774		 1e0
39246		 1e-1
73643		 1e-2
74669		 1e-3
75790		 1e-5
77814		 1e-7
79834		 #succ
12/15
NEWUOA ros noiseless 170 (110)∞∞∞∞∞∞6e40/15
BFGS ros noiseless ∞∞∞∞∞∞∞4e40/15
MCS huyer noiseless ∞∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 47 (19)∞∞∞∞∞∞2e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞2e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞8e40/15

Δ fopt
f16, 10-D		 1e1
425		 1e0
7029		 1e-1
15779		 1e-2
45669		 1e-3
51151		 1e-5
65798		 1e-7
71570		 #succ
15/15
NEWUOA ros noiseless 4.7 (6)∞∞∞∞∞∞9e40/15
BFGS ros noiseless ∞∞∞∞∞∞∞1e50/15
MCS huyer noiseless 17 (18)86 (39)∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 1.4 (4)23 (25)∞∞∞∞∞2e50/15
SLSQP-11 -207 6940 (9813)∞∞∞∞∞∞2e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞4e50/15

Δ fopt
f17, 10-D		 1e1
26		 1e0
429		 1e-1
2203		 1e-2
6329		 1e-3
9851		 1e-5
20190		 1e-7
26503		 #succ
15/15
NEWUOA ros noiseless 1.4 (0.6)2143 (2603)∞∞∞∞∞2e50/15
BFGS ros noiseless 53 (102)∞∞∞∞∞∞8e40/15
MCS huyer noiseless 1.0 (2)1374 (1781)∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 1.2 (1)447 (545)∞∞∞∞∞2e50/15
SLSQP-11 -207 32 (50)∞∞∞∞∞∞2e50/15
BFGS-P-StPt 58 (163)∞∞∞∞∞∞1e50/15

Δ fopt
f18, 10-D		 1e1
238		 1e0
836		 1e-1
7012		 1e-2
15928		 1e-3
27536		 1e-5
37234		 1e-7
42708		 #succ
15/15
NEWUOA ros noiseless 558 (72)∞∞∞∞∞∞4e50/15
BFGS ros noiseless 4958 (3377)∞∞∞∞∞∞8e40/15
MCS huyer noiseless 57 (43)∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 72 (103)3542 (4366)∞∞∞∞∞2e50/15
SLSQP-11 -207 2547 (3033)∞∞∞∞∞∞2e50/15
BFGS-P-StPt 3543 (2994)∞∞∞∞∞∞1e50/15

Δ fopt
f19, 10-D		 1e1
1		 1e0
1		 1e-1
10609		 1e-2
9.8e5		 1e-3
1.4e6		 1e-5
1.4e6		 1e-7
1.4e6		 #succ
15/15
NEWUOA ros noiseless 27 (13)3.2e5 (7e5)∞∞∞∞∞1e60/15
BFGS ros noiseless 1.9e4 (2e4)∞∞∞∞∞∞8e40/15
MCS huyer noiseless 1 (0)1 (0)1.0 (0.0)∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 24 (12)1.2e4 (2e4)∞∞∞∞∞2e50/15
SLSQP-11 -207 1 (0)1 (0)6.8e-3 (5e-5)∞∞∞∞3e50/15
BFGS-P-StPt 1 (0)1 (0)0.01 (2e-3)∞∞∞∞3e50/15

Δ fopt
f20, 10-D		 1e1
32		 1e0
15426		 1e-1
5.5e5		 1e-2
5.7e5		 1e-3
5.7e5		 1e-5
5.8e5		 1e-7
5.9e5		 #succ
15/15
NEWUOA ros noiseless 1.00 (0.4)1.9 (2)∞∞∞∞∞1e50/15
BFGS ros noiseless 2.3 (0.5)1.1 (1)∞∞∞∞∞1e50/15
MCS huyer noiseless 4.4 (0.3)1.0 (1)∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 2.3 (0.7)5.7 (2)∞∞∞∞∞2e50/15
SLSQP-11 -207 1 (0)4.0 (4)∞∞∞∞∞2e50/15
BFGS-P-StPt 17 (3)1.5 (0.4)∞∞∞∞∞1e50/15

Δ fopt
f21, 10-D		 1e1
130		 1e0
2236		 1e-1
4392		 1e-2
4487		 1e-3
4618		 1e-5
5074		 1e-7
11329		 #succ
15/15
NEWUOA ros noiseless 2.1 (3)7.4 (12)4.8 (7)4.7 (10)4.6 (3)4.2 (6)1.9 (2)13/15
BFGS ros noiseless 4.6 (4)2.9 (3)2.8 (5)2.7 (4)2.7 (3)2.5 (2)2.0 (3)6/15
MCS huyer noiseless 1.0 (0.9)20 (29)10 (8)10 (15)10 (10)9.1 (7)4.9 (14)6/15
NELDERDOERR doerr noiseless 8.4 (16)6.0 (14)3.7 (3)3.6 (2)3.5 (2)3.3 (3)1.6 (1)15/15
SLSQP-11 -207 1.8 (3)1.4 (3)1.2 (2)1.1 (3)1.1 (2)1.0 (2)0.70 (0.9)15/15
BFGS-P-StPt 2.7 (6)3.0 (2)2.5 (4)2.4 (5)2.4 (0.8)2.2 (2)7.8 (8)0/15

Δ fopt
f22, 10-D		 1e1
98		 1e0
2839		 1e-1
6353		 1e-2
6620		 1e-3
6798		 1e-5
8296		 1e-7
10351		 #succ
15/15
NEWUOA ros noiseless 6.7 (9)1.8 (1)2.5 (2)2.4 (2)2.4 (6)2.0 (0.9)1.7 (3)14/15
BFGS ros noiseless 6.6 (8)3.1 (5)4.4 (4)4.2 (3)4.2 (6)3.5 (3)5.7 (7)7/15
MCS huyer noiseless 1.1 (0.8)3.2 (2)6.4 (5)6.1 (6)6.0 (5)4.9 (3)12 (24)3/15
NELDERDOERR doerr noiseless 18 (19)2.5 (2)5.0 (16)4.9 (1)4.9 (10)4.0 (7)3.3 (1)14/15
SLSQP-11 -207 1.2 (1)0.60 (2)0.82 (2)0.79 (0.8)0.78 (0.6)0.67 (1)2.9 (5)9/15
BFGS-P-StPt 5.3 (0.7)1.5 (1)3.5 (5)3.4 (6)3.3 (3)8.2 (6)∞5e40/15

Δ fopt
f23, 10-D		 1e1
3.0		 1e0
915		 1e-1
16425		 1e-2
1.8e5		 1e-3
2.0e5		 1e-5
2.1e5		 1e-7
2.1e5		 #succ
15/15
NEWUOA ros noiseless 7.0 (5)3.6 (3)∞∞∞∞∞7e40/15
BFGS ros noiseless 15 (37)128 (135)∞∞∞∞∞5e40/15
MCS huyer noiseless 3.1 (5)15 (19)∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 1.6 (0.8)1.4 (3)11 (10)∞∞∞∞2e50/15
SLSQP-11 -207 9.3 (5)15 (21)87 (128)∞∞∞∞2e50/15
BFGS-P-StPt 145 (207)264 (163)∞∞∞∞∞3e50/15

Δ fopt
f24, 10-D		 1e1
98761		 1e0
1.0e6		 1e-1
7.5e7		 1e-2
7.5e7		 1e-3
7.5e7		 1e-5
7.5e7		 1e-7
7.5e7		 #succ
1/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞7e40/15
BFGS ros noiseless ∞∞∞∞∞∞∞4e40/15
MCS huyer noiseless ∞∞∞∞∞∞∞4e40/15
NELDERDOERR doerr noiseless 2.6 (5)∞∞∞∞∞∞2e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞2e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞7e40/15

Previous dimension | Dimension = 20 | Next dimension

Δ fopt
f1, 20-D		 1e1
43		 1e0
43		 1e-1
43		 1e-2
43		 1e-3
43		 1e-5
43		 1e-7
43		 #succ
15/15
NEWUOA ros noiseless 1.0 (0.0)1.0 (0.0)1.0 (0.0)1.0 (0.0)1.0 (0.0)1.0 (0.0)1.0 (0.0)15/15
BFGS ros noiseless 1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)15/15
MCS huyer noiseless 2.4 (3)6.4 (4)6.8 (3)7.0 (3)7.0 (3)7.0 (2)7.0 (0.1)15/15
NELDERDOERR doerr noiseless 3.3 (1)6.7 (3)11 (4)16 (5)21 (10)32 (7)40 (6)15/15
SLSQP-11 -207 0.58 (0)★40.58 (0)★40.58 (0)★40.58 (0)★40.58 (0)★40.58 (0)★40.58 (0)★415/15
BFGS-P-StPt 1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)1.1 (0)6.0 (9)12/15

Δ fopt
f2, 20-D		 1e1
385		 1e0
386		 1e-1
387		 1e-2
388		 1e-3
390		 1e-5
391		 1e-7
393		 #succ
15/15
NEWUOA ros noiseless 18 (7)42 (21)71 (30)92 (36)125 (42)174 (55)219 (54)15/15
BFGS ros noiseless 20 (4)24 (5)26 (4)27 (3)27 (2)28 (1)28 (3)15/15
MCS huyer noiseless 5.4 (2)14 (5)21 (14)41 (28)43 (26)46 (26)∞8e40/15
NELDERDOERR doerr noiseless 13 (2)17 (4)19 (8)23 (15)28 (17)36 (9)48 (18)15/15
SLSQP-11 -207 2.5 (0.8)★32.6 (0.7)★42.8 (0.9)★43.0 (0.5)★43.2 (1)★33.5 (0.8)★33.8 (1.0)★315/15
BFGS-P-StPt 4.5 (0.6)4.8 (0.6)5.0 (0.9)5.3 (0.6)5.6 (1)6.1 (2)6.6 (1)15/15

Δ fopt
f3, 20-D		 1e1
5066		 1e0
7626		 1e-1
7635		 1e-2
7637		 1e-3
7643		 1e-5
7646		 1e-7
7651		 #succ
15/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞1e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞1e50/15
MCS huyer noiseless 28 (24)★4∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless ∞∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞2e50/15

Δ fopt
f4, 20-D		 1e1
4722		 1e0
7628		 1e-1
7666		 1e-2
7686		 1e-3
7700		 1e-5
7758		 1e-7
1.4e5		 #succ
9/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞2e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞2e50/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless ∞∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞3e50/15

Δ fopt
f5, 20-D		 1e1
41		 1e0
41		 1e-1
41		 1e-2
41		 1e-3
41		 1e-5
41		 1e-7
41		 #succ
15/15
NEWUOA ros noiseless 1.2 (0.1)1.4 (0.3)1.6 (0.5)1.6 (0.5)1.6 (0.3)1.6 (0.4)1.6 (0.5)15/15
BFGS ros noiseless 2.3 (0.4)2.7 (0.3)2.8 (0.5)2.8 (0.4)2.8 (0.5)2.8 (0.8)2.8 (0.5)15/15
MCS huyer noiseless 0.99 (0.0)★40.99 (0.0)★40.99 (0.0)★40.99 (0.0)★40.99 (0.0)★40.99 (0.0)★40.99 (0.0)★415/15
NELDERDOERR doerr noiseless 5.2 (2)6.1 (2)6.3 (2)6.3 (2)6.3 (1)6.3 (3)6.3 (2)15/15
SLSQP-11 -207 1.7 (0)2.2 (0)2.2 (0)2.2 (0)2.2 (0)2.2 (0)2.2 (0)15/15
BFGS-P-StPt 1.7 (0)2.2 (0)2.2 (0)2.2 (0)2.2 (0)2.2 (0)2.2 (0)15/15

Δ fopt
f6, 20-D		 1e1
1296		 1e0
2343		 1e-1
3413		 1e-2
4255		 1e-3
5220		 1e-5
6728		 1e-7
8409		 #succ
15/15
NEWUOA ros noiseless 1.00 (0.8)★31.0 (0.5)★31.00 (0.5)★31.1 (0.5)★21.1 (0.6)★21.3 (0.9)★31.3 (0.9)★315/15
BFGS ros noiseless 3.6 (2)3.5 (1)3.4 (0.7)3.5 (1)3.5 (0.8)3.6 (0.8)45 (33)0/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 9.1 (3)15 (8)20 (11)46 (46)79 (67)∞∞4e50/15
SLSQP-11 -207 2.5 (0.5)2.0 (0.9)2.1 (0.7)2.3 (1.0)2.4 (1)2.6 (1)8.7 (16)0/15
BFGS-P-StPt 4.4 (2)4.0 (1)4.1 (1)4.4 (1)4.9 (2)8.7 (5)265 (358)7/15

Δ fopt
f7, 20-D		 1e1
1351		 1e0
4274		 1e-1
9503		 1e-2
16523		 1e-3
16524		 1e-5
16524		 1e-7
16969		 #succ
15/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞5e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞21000/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 370 (361)∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞23000/15

Δ fopt
f8, 20-D		 1e1
2039		 1e0
3871		 1e-1
4040		 1e-2
4148		 1e-3
4219		 1e-5
4371		 1e-7
4484		 #succ
15/15
NEWUOA ros noiseless 1.00 (0.2)1.00 (0.3)1.0 (0.5)1.0 (0.5)1.0 (0.5)1.00 (0.6)1.00 (0.6)15/15
BFGS ros noiseless 1.8 (0.5)1.2 (0.1)1.2 (0.2)1.2 (0.1)1.2 (0.1)1.2 (0.1)1.2 (0.1)15/15
MCS huyer noiseless 1.5 (0.5)1.7 (0.7)1.8 (1)1.8 (1)1.8 (1)1.8 (1)1.8 (1)15/15
NELDERDOERR doerr noiseless 2.8 (6)4.7 (3)5.5 (2)6.0 (3)6.5 (9)7.7 (14)9.1 (8)15/15
SLSQP-11 -207 0.78 (0.3)0.76 (0.6)0.78 (1)0.78 (0.7)0.78 (0.3)0.77 (0.3)0.76 (0.2)15/15
BFGS-P-StPt 1.3 (0.5)2.0 (1)1.9 (0.4)1.9 (1.0)1.9 (0.9)1.8 (1)1.8 (1)15/15

Δ fopt
f9, 20-D		 1e1
1716		 1e0
3102		 1e-1
3277		 1e-2
3379		 1e-3
3455		 1e-5
3594		 1e-7
3727		 #succ
15/15
NEWUOA ros noiseless 1.0 (0.2)1.00 (0.4)1.00 (0.9)1.0 (0.4)1 (0.8)1 (0.5)1.00 (0.4)15/15
BFGS ros noiseless 2.2 (0.4)2.2 (1)2.1 (0.9)2.1 (1)2.0 (1)2.0 (1)1.9 (1)15/15
MCS huyer noiseless 1.00 (0.4)1.3 (0.7)1.5 (0.7)1.6 (0.5)1.6 (0.7)1.7 (0.6)1.6 (0.5)15/15
NELDERDOERR doerr noiseless 3.3 (0.8)6.1 (5)6.6 (8)7.0 (3)7.5 (5)8.4 (4)9.3 (7)15/15
SLSQP-11 -207 0.35 (0)★40.28 (0)★40.32 (0)★40.35 (0)★40.36 (3e-3)★40.36 (3e-3)★40.36 (3e-3)★415/15
BFGS-P-StPt 0.42 (0)0.32 (4e-3)0.36 (3e-3)0.38 (7e-3)0.39 (6e-3)0.40 (3e-3)0.39 (9e-3)15/15

Δ fopt
f10, 20-D		 1e1
7413		 1e0
8661		 1e-1
10735		 1e-2
13641		 1e-3
14920		 1e-5
17073		 1e-7
17476		 #succ
15/15
NEWUOA ros noiseless 1.7 (0.6)2.6 (0.6)3.3 (1.0)3.3 (1)4.0 (1)4.7 (0.8)5.8 (1)15/15
BFGS ros noiseless 1.0 (0.1)1.0 (0.1)1.00 (0.5)1.1 (0.4)1.1 (0.7)3.1 (9)∞1e60/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 30 (35)∞∞∞∞∞∞4e50/15
SLSQP-11 -207 0.13 (0.0)★30.12 (0.0)★30.10 (0.0)★30.09 (0.0)★20.08 (0.0)★30.09 (0.0)★28.0 (8)1/15
BFGS-P-StPt 0.22 (0.1)0.21 (0.1)0.18 (0.1)0.15 (0.0)0.15 (0.0)0.14 (0.0)0.14 (0.0)★415/15

Δ fopt
f11, 20-D		 1e1
1002		 1e0
2228		 1e-1
6278		 1e-2
8586		 1e-3
9762		 1e-5
12285		 1e-7
14831		 #succ
15/15
NEWUOA ros noiseless 15 (2)13 (2)5.8 (0.6)5.6 (0.4)6.1 (0.2)6.6 (0.3)6.5 (0.2)15/15
BFGS ros noiseless 1 (0.6)1.0 (0.4)1.3 (2)2.6 (2)147 (126)∞∞2e50/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 17 (6)24 (16)74 (27)∞∞∞∞4e50/15
SLSQP-11 -207 0.15 (0.0)★30.09 (0.1)★30.04 (0.0)★30.03 (5e-3)★30.03 (0.0)★30.64 (0.1)36 (27)0/15
BFGS-P-StPt 0.76 (0.5)0.38 (0.4)0.15 (0.1)0.12 (0.0)0.12 (0.1)0.11 (0.1)0.31 (0.6)★312/15

Δ fopt
f12, 20-D		 1e1
1042		 1e0
1938		 1e-1
2740		 1e-2
3156		 1e-3
4140		 1e-5
12407		 1e-7
13827		 #succ
15/15
NEWUOA ros noiseless 3.0 (3)3.0 (2)3.0 (1)3.0 (0.9)2.5 (2)1.0 (0.4)1.00 (0.4)15/15
BFGS ros noiseless 1.6 (2)1.6 (1)1.6 (2)1.7 (1)1.6 (0.6)1.8 (2)45 (59)1/15
MCS huyer noiseless 1.1 (0.8)8.4 (18)12 (5)24 (42)43 (82)94 (135)∞8e40/15
NELDERDOERR doerr noiseless 13 (26)45 (44)61 (81)396 (428)1393 (1860)∞∞4e50/15
SLSQP-11 -207 2.8 (1)2.1 (1)1.7 (0.8)1.6 (0.8)1.3 (0.4)1.8 (1)3.3 (7)9/15
BFGS-P-StPt 3.2 (0.7)2.4 (0.6)2.0 (0.4)1.9 (0.5)1.5 (0.4)0.58 (0.1)0.56 (0.1)★312/15

Δ fopt
f13, 20-D		 1e1
652		 1e0
2021		 1e-1
2751		 1e-2
3507		 1e-3
18749		 1e-5
24455		 1e-7
30201		 #succ
15/15
NEWUOA ros noiseless 1.00 (0.7)★3.0 (2)9.3 (8)37 (37)19 (29)∞∞2e50/15
BFGS ros noiseless 1.7 (0.3)1.0 (0.0)1.00 (0.0)1.00 (0.0)23 (30)∞∞5e50/15
MCS huyer noiseless 34 (43)37 (50)61 (88)331 (446)∞∞∞8e40/15
NELDERDOERR doerr noiseless 12 (20)18 (33)31 (18)87 (109)98 (117)∞∞4e50/15
SLSQP-11 -207 1.2 (0.1)0.55 (0.0)0.51 (0.0)★0.50 (0.0)★431 (38)131 (239)∞5e50/15
BFGS-P-StPt 1.4 (0.0)0.65 (0.0)0.59 (8e-3)0.56 (0.0)0.12 (3e-3)22 (54)315 (126)0/15

Δ fopt
f14, 20-D		 1e1
75		 1e0
239		 1e-1
304		 1e-2
451		 1e-3
932		 1e-5
1648		 1e-7
15661		 #succ
15/15
NEWUOA ros noiseless 1.5 (0.6)1.0 (0.4)1.0 (0.4)1.00 (0.2)1.0 (0.1)9.1 (0.7)43 (24)0/15
BFGS ros noiseless 2.7 (1)1.8 (0.7)2.0 (0.6)1.8 (0.5)1.2 (0.2)1.1 (0.2)∞2e50/15
MCS huyer noiseless 1 (0.5)2.1 (0.7)3.4 (0.9)3.7 (0.7)3.2 (0.6)∞∞8e40/15
NELDERDOERR doerr noiseless 2.0 (1.0)2.1 (1)3.5 (2)3.7 (1.0)3.0 (0.6)21 (14)∞4e50/15
SLSQP-11 -207 0.75 (0.1)0.52 (0.1)0.69 (0.0)★0.76 (0.1)★20.53 (0.1)★30.51 (0.0)★4∞4e50/15
BFGS-P-StPt 0.97 (0.1)0.69 (0.2)0.83 (0.1)0.92 (0.2)0.66 (0.1)0.67 (0.1)6.3 (6)★20/15

Δ fopt
f15, 20-D		 1e1
30378		 1e0
1.5e5		 1e-1
3.1e5		 1e-2
3.2e5		 1e-3
3.2e5		 1e-5
4.5e5		 1e-7
4.6e5		 #succ
15/15
NEWUOA ros noiseless ∞∞∞∞∞∞∞1e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞1e50/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless ∞∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞2e50/15

Δ fopt
f16, 20-D		 1e1
1384		 1e0
27265		 1e-1
77015		 1e-2
1.4e5		 1e-3
1.9e5		 1e-5
2.0e5		 1e-7
2.2e5		 #succ
15/15
NEWUOA ros noiseless 16 (16)∞∞∞∞∞∞2e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞3e50/15
MCS huyer noiseless 11 (13)∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 7.2 (7)∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞8e50/15

Δ fopt
f17, 20-D		 1e1
63		 1e0
1030		 1e-1
4005		 1e-2
12242		 1e-3
30677		 1e-5
56288		 1e-7
80472		 #succ
15/15
NEWUOA ros noiseless 16 (106)∞∞∞∞∞∞2e60/15
BFGS ros noiseless 359 (535)∞∞∞∞∞∞4e50/15
MCS huyer noiseless 1 (0.7)∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 2.1 (2)∞∞∞∞∞∞4e50/15
SLSQP-11 -207 111 (708)∞∞∞∞∞∞4e50/15
BFGS-P-StPt 490 (241)∞∞∞∞∞∞4e50/15

Δ fopt
f18, 20-D		 1e1
621		 1e0
3972		 1e-1
19561		 1e-2
28555		 1e-3
67569		 1e-5
1.3e5		 1e-7
1.5e5		 #succ
15/15
NEWUOA ros noiseless 1.2e4 (2e4)∞∞∞∞∞∞2e60/15
BFGS ros noiseless ∞∞∞∞∞∞∞4e50/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 4320 (5380)∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞5e50/15

Δ fopt
f19, 20-D		 1e1
1		 1e0
1		 1e-1
3.4e5		 1e-2
4.7e6		 1e-3
6.2e6		 1e-5
6.7e6		 1e-7
6.7e6		 #succ
15/15
NEWUOA ros noiseless 76 (98)4.3e6 (4e6)∞∞∞∞∞2e60/15
BFGS ros noiseless 1.2e6 (9e5)∞∞∞∞∞∞2e50/15
MCS huyer noiseless 1 (0)1 (0)1 (0.9)∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 73 (41)4.3e5 (4e5)∞∞∞∞∞4e50/15
SLSQP-11 -207 1 (0)1 (0)5.6e-4 (0)∞∞∞∞5e50/15
BFGS-P-StPt 1 (0)1 (0)0.00 (2e-4)∞∞∞∞5e50/15

Δ fopt
f20, 20-D		 1e1
82		 1e0
46150		 1e-1
3.1e6		 1e-2
5.5e6		 1e-3
5.5e6		 1e-5
5.6e6		 1e-7
5.6e6		 #succ
14/15
NEWUOA ros noiseless 1.00 (0.4)15 (11)∞∞∞∞∞4e50/15
BFGS ros noiseless 2.1 (0.4)5.8 (4)∞∞∞∞∞4e50/15
MCS huyer noiseless 4.7 (0.1)12 (12)∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 2.2 (0.5)28 (51)∞∞∞∞∞4e50/15
SLSQP-11 -207 0.65 (0)★14 (23)∞∞∞∞∞4e50/15
BFGS-P-StPt 14 (3)7.2 (9)∞∞∞∞∞4e50/15

Δ fopt
f21, 20-D		 1e1
561		 1e0
6541		 1e-1
14103		 1e-2
14318		 1e-3
14643		 1e-5
15567		 1e-7
17589		 #succ
15/15
NEWUOA ros noiseless 1.7 (0.9)2.2 (2)1.2 (2)1.2 (1)1.2 (2)1.1 (2)1.0 (2)15/15
BFGS ros noiseless 1.9 (1)5.5 (4)4.6 (5)4.6 (3)4.5 (3)4.3 (4)7.3 (8)2/15
MCS huyer noiseless 26 (31)32 (31)26 (23)25 (42)25 (35)23 (38)32 (31)2/15
NELDERDOERR doerr noiseless 7.6 (8)4.0 (4)2.0 (2)2.1 (2)2.1 (2)2.0 (2)1.8 (1)15/15
SLSQP-11 -207 0.66 (0.6)0.56 (0.8)2.8 (1)2.8 (0.6)2.7 (1.0)2.6 (0.7)3.3 (5)7/15
BFGS-P-StPt 3.3 (3)2.0 (1)2.7 (2)2.7 (4)2.6 (4)4.7 (4)76 (57)0/15

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
NEWUOA ros noiseless 1.00 (2)4.9 (9)6.8 (9)6.6 (5)6.4 (9)6.0 (7)1.2 (0.9)7/15
BFGS ros noiseless 2.5 (3)1.8 (5)8.1 (9)7.9 (9)7.7 (7)10 (14)14 (11)0/15
MCS huyer noiseless 17 (22)20 (27)50 (64)48 (69)47 (63)∞∞8e40/15
NELDERDOERR doerr noiseless 5.2 (11)6.5 (17)8.3 (7)8.2 (6)8.0 (11)7.5 (7)1.5 (1)13/15
SLSQP-11 -207 1.0 (0.8)3.2 (8)4.1 (2)4.0 (9)3.8 (2)3.6 (6)4.3 (3)1/15
BFGS-P-StPt 0.39 (0.3)1.1 (2)8.6 (9)8.4 (6)8.2 (6)55 (56)∞1e50/15

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
NEWUOA ros noiseless 12 (12)3.5 (3)32 (26)∞∞∞∞2e50/15
BFGS ros noiseless 50 (161)304 (273)∞∞∞∞∞1e50/15
MCS huyer noiseless 1.4 (2)124 (121)∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless 2.0 (2)1.4 (1)86 (65)∞∞∞∞4e50/15
SLSQP-11 -207 13 (8)18 (27)∞∞∞∞∞4e50/15
BFGS-P-StPt 2331 (3854)808 (1087)∞∞∞∞∞8e50/15

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
NEWUOA ros noiseless ∞∞∞∞∞∞∞2e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞1e50/15
MCS huyer noiseless ∞∞∞∞∞∞∞8e40/15
NELDERDOERR doerr noiseless ∞∞∞∞∞∞∞4e50/15
SLSQP-11 -207 ∞∞∞∞∞∞∞4e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞2e50/15

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
NEWUOA ros noiseless 1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)15/15
BFGS ros noiseless 1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)1 (0)15/15
BFGS-P-StPt 1.0 (0)1.0 (0)1.0 (0)1.0 (0)1.0 (0)1.0 (0)37 (148)6/15

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
NEWUOA ros noiseless 26 (5)44 (13)68 (17)85 (16)108 (16)139 (20)168 (34)15/15
BFGS ros noiseless 36 (3)42 (3)45 (5)48 (6)51 (6)53 (3)54 (5)15/15
BFGS-P-StPt 5.9 (0.9)★46.5 (1)★46.9 (2)★47.2 (1)★47.5 (2)★47.9 (1)★48.4 (1)★415/15

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
NEWUOA ros noiseless ∞★2∞★2∞★2∞★2∞★2∞★2∞3e5★20/15
BFGS ros noiseless ∞∞∞∞∞∞∞3e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞7e50/15

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
NEWUOA ros noiseless ∞∞∞∞∞∞∞6e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞5e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞9e50/15

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
NEWUOA ros noiseless 1.0 (0.2)★1.00 (0.3)★21.0 (0.2)★21.00 (0.3)★21.00 (0.1)★21.00 (0.3)★21.00 (0.3)★215/15
BFGS ros noiseless 2.1 (0.4)2.3 (0.6)2.3 (0.5)2.3 (0.6)2.3 (0.5)2.3 (0.5)2.3 (0.5)15/15
BFGS-P-StPt 1.3 (0)1.5 (0)1.4 (0)1.4 (0)1.4 (0)1.4 (0)1.4 (0)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
NEWUOA ros noiseless 1.00 (0.1)★41.0 (0.1)★41.0 (0.2)★41.00 (0.2)★41.0 (0.2)★41.00 (0.1)★41.00 (0.2)★415/15
BFGS ros noiseless 4.5 (1)4.6 (2)4.7 (1)4.6 (0.8)4.6 (0.8)5.1 (3)25 (82)0/15
BFGS-P-StPt 7.3 (1)6.8 (0.7)7.2 (1.0)7.7 (3)7.7 (0.5)11 (4)297 (325)7/15

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
NEWUOA ros noiseless ∞∞∞∞∞∞∞2e60/15
BFGS ros noiseless ∞∞∞∞∞∞∞41000/15
BFGS-P-StPt ∞∞∞∞∞∞∞43000/15

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
NEWUOA ros noiseless 1.0 (0.2)1.0 (0.3)1.00 (0.6)1.00 (0.7)1.00 (0.3)1.0 (0.1)1 (0.6)15/15
BFGS ros noiseless 2.4 (0.2)2.2 (0.4)2.2 (0.5)2.1 (0.9)2.1 (0.9)2.1 (0.9)2.0 (0.9)15/15
BFGS-P-StPt 1.2 (0.3)1.7 (1)1.7 (0.5)1.7 (0.9)1.6 (1.0)1.6 (0.9)2.1 (1.0)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
NEWUOA ros noiseless 1 (0.2)1.0 (0.3)1.0 (0.7)1 (0.7)1.0 (0.7)1.0 (0.4)1.00 (0.4)15/15
BFGS ros noiseless 2.6 (0.2)1.8 (0.8)1.8 (1)1.8 (1)1.7 (1)1.7 (0.1)1.7 (1)15/15
BFGS-P-StPt 0.41 (0)★40.24 (2e-3)★40.26 (5e-3)★40.27 (3e-3)★40.28 (8e-3)★40.28 (8e-3)★40.28 (6e-3)★415/15

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
NEWUOA ros noiseless 1.3 (0.2)1.6 (0.4)1.8 (0.7)1.5 (0.3)1.7 (0.2)1.9 (0.5)2.1 (0.2)15/15
BFGS ros noiseless 1.00 (0.2)1.00 (0.1)1.0 (0.4)1.6 (2)8.0 (7)134 (144)∞4e60/15
BFGS-P-StPt 0.19 (0.0)★40.17 (0.0)★40.15 (0.0)★40.11 (0.0)★40.10 (0.0)★40.10 (0.0)★40.10 (0.0)★415/15

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
NEWUOA ros noiseless 13 (2)10 (3)4.9 (1)2.8 (0.5)2.8 (0.5)2.7 (0.4)2.7 (0.3)15/15
BFGS ros noiseless 1.0 (0.4)1.0 (0.8)1.00 (0.9)2.3 (0.7)65 (56)∞∞4e50/15
BFGS-P-StPt 3.8 (4)2.0 (2)0.85 (0.9)0.40 (0.4)★20.35 (0.4)★40.28 (0.3)★48.1 (32)12/15

Δ fopt
f12, 40-D		 1e1
4169		 1e0
7452		 1e-1
9174		 1e-2
10751		 1e-3
13146		 1e-5
22758		 1e-7
25192		 #succ
15/15
NEWUOA ros noiseless 1.4 (1)1.4 (1)1.4 (1)1.5 (0.5)1.4 (0.7)1.00 (0.3)1.00 (0.3)15/15
BFGS ros noiseless 1.0 (2)1.0 (0.6)1.0 (0.7)1.0 (0.5)1.00 (0.4)15 (30)656 (1417)0/15
BFGS-P-StPt 2.3 (0.9)1.6 (0.4)1.4 (0.5)1.3 (0.6)1.1 (0.5)0.70 (0.1)0.67 (0.2)★215/15

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
NEWUOA ros noiseless 1.0 (2)★2.0 (2)3.0 (3)13 (12)7.3 (10)28 (39)∞4e50/15
BFGS ros noiseless 1.4 (0.1)1.0 (0.0)1 (0.0)1.00 (0.0)46 (51)∞∞2e60/15
BFGS-P-StPt 1.4 (0.1)0.52 (0.0)0.55 (0.0)0.48 (9e-3)★40.09 (2e-3)★40.45 (0.1)★3142 (186)0/15

Δ fopt
f14, 40-D		 1e1
304		 1e0
616		 1e-1
777		 1e-2
1105		 1e-3
2207		 1e-5
4825		 1e-7
57711		 #succ
15/15
NEWUOA ros noiseless 1.0 (0.6)1.0 (0.4)1.00 (0.3)1.00 (0.4)1.00 (0.2)8.6 (0.5)24 (0.5)0/15
BFGS ros noiseless 1.7 (0.9)1.6 (0.4)1.8 (0.5)1.7 (0.4)1.2 (0.2)1.0 (0.1)∞7e50/15
BFGS-P-StPt 0.59 (0.1)★30.56 (0.0)★40.73 (0.1)★20.92 (0.1)0.71 (0.1)★40.57 (0.1)★412 (14)0/15

Δ fopt
f15, 40-D		 1e1
1.9e5		 1e0
7.9e5		 1e-1
1.0e6		 1e-2
1.1e6		 1e-3
1.1e6		 1e-5
1.1e6		 1e-7
1.1e6		 #succ
15/15
NEWUOA ros noiseless ∞★3∞★3∞★3∞★3∞★3∞★3∞3e5★30/15
BFGS ros noiseless ∞∞∞∞∞∞∞3e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞8e50/15

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
NEWUOA ros noiseless 17 (14)★4∞★4∞★4∞★4∞★4∞★4∞6e5★40/15
BFGS ros noiseless ∞∞∞∞∞∞∞1e60/15
BFGS-P-StPt ∞∞∞∞∞∞∞1e60/15

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
NEWUOA ros noiseless 38 (138)∞∞∞∞∞∞4e60/15
BFGS ros noiseless 382 (219)∞∞∞∞∞∞1e60/15
BFGS-P-StPt 49 (188)∞∞∞∞∞∞2e60/15

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
NEWUOA ros noiseless ∞∞∞∞∞∞∞4e60/30
BFGS ros noiseless ∞∞∞∞∞∞∞1e60/15
BFGS-P-StPt ∞∞∞∞∞∞∞2e60/15

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
NEWUOA ros noiseless 352 (131)∞∞∞∞∞∞4e60/30
BFGS ros noiseless ∞∞∞∞∞∞∞8e50/15
BFGS-P-StPt 1 (0)★41 (0)★44.5e-4 (3e-5)★4∞∞∞∞1e60/15

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
NEWUOA ros noiseless 1.00 (0.3)★4311 (297)∞    0/30
BFGS ros noiseless 1.5 (0.2)33 (38)∞    0/15
BFGS-P-StPt 10 (2)158 (226)∞    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
NEWUOA ros noiseless 1.00 (2)1.0 (0.8)1.0 (1)1.0 (1)1 (1)1.0 (1)1.00 (1)26/30
BFGS ros noiseless 2.9 (4)2.3 (5)2.1 (4)2.1 (0.9)2.1 (1)2.1 (2)9.3 (8)2/15
BFGS-P-StPt 0.57 (0.8)0.84 (0.8)0.94 (1)0.94 (1)0.94 (0.6)3.2 (2)∞2e50/15

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
NEWUOA ros noiseless 4.0 (1)1.0 (2)1.0 (1)1 (1)1.0 (1)1.00 (1)1.0 (1)8/30
BFGS ros noiseless 1.5 (3)1.5 (1)∞∞∞∞∞3e50/15
BFGS-P-StPt 1.1 (3)1.1 (0.6)∞∞∞∞∞2e50/15

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
NEWUOA ros noiseless 10 (6)1.8 (2)★2∞∞∞∞∞3e50/15
BFGS ros noiseless 78 (22)263 (147)∞∞∞∞∞2e50/15
BFGS-P-StPt 40 (36)77 (109)∞∞∞∞∞2e60/15

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
NEWUOA ros noiseless ∞∞∞∞∞∞∞4e50/15
BFGS ros noiseless ∞∞∞∞∞∞∞3e50/15
BFGS-P-StPt ∞∞∞∞∞∞∞6e50/15

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