Overview page

ERT in number of function evaluations

Last dimension | Dimension = 2 | Next dimension

Δ f 1e+1 1e+0 1e-1 1e-2 1e-3 1e-5 1e-7 #succ
f1 2.0 6.0 6.0 6.0 6.0 6.0 6.0 15/15
1.4 (1) 2.6 (2) 7.2 (3) 13 (3) 18 (5) 28 (6) 37 (11) 15/15
f2 16 19 25 25 26 28 29 15/15
8.9 (7) 11 (6) 11 (3) 12 (3) 12 (3) 14 (3) 15 (3) 15/15
f3 15 271 445 446 450 454 464 15/15
2.6 (2) 2.5 (4) 6.1 (7) 7.2 (7) 7.3 (8) 8.1 (8) 8.2 (8) 15/15
f4 22 344 459 496 523 544 566 15/15
1.8 (1) 4.4 (5) 57 (50) 123 (197) 129 (211) 143 (228) 143 (232) 15/15
f5 4.0 4.0 4.0 4.0 4.0 4.0 4.0 15/15
3.5 (2) 6.7 (3) 7.1 (4) 7.1 (4) 7.1 (4) 7.1 (4) 7.1 (4) 15/15
f6 13 23 41 54 67 95 124 15/15
1.5 (2) 3.2 (2) 3.3 (1) 3.4 (1) 3.5 (1) 3.7 (0.8) 3.7 (0.6) 15/15
f7 3.0 21 60 193 217 217 241 15/15
2.6 (4) 2.3 (2) 2.7 (3) 0.98 (0.9) 1.1 (0.7) 1.1 (0.7) 1.1 (0.7) 15/15
f8 5.0 12 37 46 86 94 112 15/15
3.3 (3) 7.2 (7) 6.1 (4) 7.0 (4) 4.2 (2) 4.5 (2) 4.2 (2) 15/15
f9 1 18 30 44 68 81 92 15/15
1 3.7 (5) 6.7 (6) 6.5 (5) 5.1 (2) 5.0 (2) 5.2 (2) 15/15
f10 30 46 54 61 68 82 98 15/15
4.7 (2) 4.7 (0.9) 4.4 (0.7) 4.5 (0.8) 4.6 (0.8) 4.5 (0.6) 4.4 (0.6) 15/15
f11 35 45 50 62 67 81 97 15/15
4.5 (4) 5.5 (2) 5.4 (2) 4.9 (2) 4.9 (1) 4.8 (1) 4.7 (0.9) 15/15
f12 35 46 75 94 105 153 195 15/15
5.8 (3) 8.1 (2) 8.1 (8) 8.3 (10) 8.2 (10) 7.4 (9) 6.9 (9) 15/15
f13 23 35 46 60 71 95 122 15/15
2.7 (3) 3.5 (1) 3.8 (0.7) 3.9 (0.9) 4.0 (0.6) 4.4 (0.6) 4.3 (0.5) 15/15
f14 1 7.0 16 24 38 67 90 15/15
1.6 (1) 1.5 (2) 2.3 (2) 3.9 (2) 4.1 (1) 4.4 (2) 5.0 (0.9) 15/15
f15 37 291 1033 1066 1113 1231 1412 15/15
0.84 (0.6) 4.0 (3) 1.8 (1) 2.0 (2) 2.0 (2) 1.9 (1) 1.7 (1) 15/15
f16 9.0 50 174 326 358 409 538 15/15
3.3 (3) 5.1 (11) 1.9 (3) 1.7 (3) 1.7 (2) 1.7 (2) 1.4 (2) 15/15
f17 3.0 61 133 275 396 1086 1657 15/15
1.2 (1) 0.84 (0.7) 1.3 (0.6) 1.3 (1) 1.8 (1) 1.6 (1) 1.3 (0.6) 15/15
f18 19 134 666 1249 1708 2438 2858 15/15
1.5 (1) 3.6 (6) 1.1 (1) 0.90 (0.8) 0.94 (0.5) 0.95 (0.4) 1.1 (0.4) 15/15
f19 1 1 26 216 227 252 276 15/15
1 1 6.6 (7) 14 (21) 14 (21) 14 (20) 13 (19) 15/15
f20 4.0 61 365 366 366 370 375 15/15
1.8 (0.9) 8.1 (14) 8.8 (10) 10 (10) 10 (10) 10 (10) 11 (10) 15/15
f21 2.0 51 174 276 290 324 330 15/15
0.87 (0.5) 3.8 (6) 3.4 (4) 14 (9) 17 (24) 16 (28) 89 (29) 14/15
f22 5.0 27 168 218 249 289 306 15/15
1.4 (2) 3.5 (2) 1.7 (4) 2.7 (3) 2.6 (3) 2.5 (3) 2.6 (3) 15/15
f23 8.0 193 234 263 299 348 379 15/15
1.8 (2) 9.5 (10) 12 (12) 11 (11) 10 (10) 9.2 (8) 9.0 (8) 15/15
f24 18 857 8515 23399 24113 24721 24721 5/15
1.1 (1) 38 (97) 72 (83) 49 (56) 47 (58) 46 (51) 46 (57) 4/15

Previous dimension | Dimension = 3 | Next dimension

Δ f 1e+1 1e+0 1e-1 1e-2 1e-3 1e-5 1e-7 #succ
f1 4.0 8.0 8.0 8.0 8.0 8.0 8.0 15/15
1.6 (1) 4.4 (2) 11 (3) 16 (5) 23 (6) 34 (8) 46 (8) 15/15
f2 38 42 43 44 45 47 48 15/15
6.7 (3) 8.8 (4) 10 (2) 11 (2) 12 (2) 14 (2) 15 (2) 15/15
f3 38 822 830 835 842 847 853 15/15
5.4 (3) 2.5 (2) 27 (46) 29 (53) 51 (59) 52 (60) 53 (61) 15/15
f4 40 808 866 921 952 1015 1044 15/15
8.2 (13) 441 (728) ∞ ∞ ∞ ∞ ∞ 536246 0/15
f5 7.0 7.0 7.0 7.0 7.0 7.0 7.0 15/15
3.4 (2) 5.6 (1) 5.9 (2) 6.0 (2) 6.0 (2) 6.0 (2) 6.0 (2) 15/15
f6 34 56 90 117 149 215 265 15/15
1.7 (1) 2.7 (1) 2.8 (1) 2.8 (0.9) 2.8 (0.7) 2.7 (0.6) 2.9 (0.5) 15/15
f7 11 65 342 464 482 482 535 15/15
2.1 (2) 1.1 (0.7) 0.63 (0.5) 0.64 (0.4) 0.65 (0.4) 0.65 (0.4) 0.62 (0.4) 15/15
f8 27 45 152 179 188 198 208 15/15
2.1 (2) 8.1 (4) 4.0 (2) 3.9 (2) 4.1 (1) 4.4 (1) 4.7 (1) 15/15
f9 21 65 127 149 159 169 178 15/15
2.5 (2) 3.9 (3) 3.9 (2) 4.1 (2) 4.3 (2) 4.6 (2) 5.0 (2) 15/15
f10 114 152 168 180 194 218 242 15/15
2.3 (1) 2.6 (0.8) 2.7 (0.7) 2.8 (0.6) 2.9 (0.4) 2.9 (0.5) 3.0 (0.5) 15/15
f11 67 105 227 263 277 302 327 15/15
3.8 (2) 3.5 (0.7) 1.8 (0.4) 1.7 (0.3) 1.8 (0.2) 2.1 (0.3) 2.2 (0.2) 15/15
f12 65 168 338 401 445 696 790 15/15
5.9 (3) 4.2 (3) 3.3 (3) 3.3 (3) 3.4 (2) 2.8 (2) 2.9 (2) 15/15
f13 49 85 108 136 215 281 365 15/15
3.3 (2) 3.2 (2) 3.9 (1) 3.9 (0.8) 2.9 (0.5) 3.0 (0.4) 2.9 (0.5) 15/15
f14 2.0 17 28 43 71 110 194 15/15
1.3 (1) 1.7 (2) 2.8 (1.0) 3.5 (1) 3.7 (1) 4.4 (0.8) 3.5 (0.6) 15/15
f15 121 1372 6285 8282 8429 8787 9041 15/15
2.3 (5) 2.1 (2) 0.93 (0.8) 0.74 (0.7) 0.74 (0.7) 0.75 (0.6) 0.75 (0.6) 15/15
f16 41 319 582 789 1864 3204 3361 15/15
1.8 (2) 3.7 (6) 2.7 (3) 2.5 (3) 1.1 (1) 0.88 (1) 0.88 (1) 15/15
f17 4.0 78 282 491 1134 2347 3469 15/15
0.93 (1) 1.3 (0.7) 1.1 (0.6) 1.5 (1) 1.0 (0.6) 1.0 (0.5) 0.87 (0.4) 15/15
f18 40 145 1289 3084 3523 4738 5527 15/15
0.99 (0.7) 2.8 (6) 1.1 (0.7) 0.69 (0.2) 0.67 (0.2) 0.68 (0.4) 0.64 (0.4) 15/15
f19 1 1 109 6764 7367 7399 7441 15/15
1 1 42 (40) 1.7 (1) 1.6 (1) 1.6 (1) 1.7 (1) 15/15
f20 8.0 385 2291 2398 2481 2573 2776 15/15
1.2 (0.8) 4.6 (4) 4.6 (4) 4.7 (4) 4.7 (4) 4.7 (4) 4.5 (4) 15/15
f21 6.0 184 425 439 458 469 482 14/15
0.89 (0.6) 3.0 (5) 5.3 (9) 5.4 (8) 5.4 (8) 5.6 (9) 5.6 (9) 15/15
f22 18 170 354 362 384 401 414 15/15
1.1 (0.8) 3.3 (6) 18 (26) 28 (43) 39 (68) 125 (329) 122 (303) 13/15
f23 3.0 407 906 1215 2214 2293 2393 15/15
2.3 (3) 6.0 (5) 6.3 (8) 5.0 (6) 2.8 (3) 3.0 (3) 3.0 (3) 15/15
f24 97 10391 1.0e5 3.6e5 3.6e5 3.6e5 3.6e5 2/15
2.2 (1) 101 (58) ∞ ∞ ∞ ∞ ∞ 600911 0/15

Previous dimension | Dimension = 5 | Next dimension

Δ f 1e+1 1e+0 1e-1 1e-2 1e-3 1e-5 1e-7 #succ
f1 11 12 12 12 12 12 12 15/15
2.3 (2) 7.8 (4) 14 (3) 21 (4) 28 (5) 40 (6) 54 (7) 15/15
f2 83 87 88 89 90 92 94 15/15
7.8 (3) 10 (2) 11 (1) 12 (1) 13 (1) 14 (1) 16 (1) 15/15
f3 716 1622 1637 1642 1646 1650 1654 15/15
0.77 (0.3) 34 (33) 1337 (1824) 1334 (1437) 1332 (2035) 1329 (1869) 1327 (1167) 4/15
f4 809 1633 1688 1758 1817 1886 1903 15/15
1.5 (2) ∞ ∞ ∞ ∞ ∞ ∞ 823275 0/15
f5 10 10 10 10 10 10 10 15/15
4.5 (1) 6.3 (2) 6.6 (2) 6.6 (2) 6.6 (2) 6.6 (2) 6.6 (2) 15/15
f6 114 214 281 404 580 1038 1332 15/15
1.6 (0.6) 1.6 (0.5) 1.9 (0.3) 1.8 (0.3) 1.5 (0.2) 1.2 (0.1) 1.2 (0.1) 15/15
f7 24 324 1171 1451 1572 1572 1597 15/15
2.2 (2) 0.82 (0.9) 0.59 (0.4) 0.58 (0.3) 0.59 (0.3) 0.59 (0.3) 0.65 (0.4) 15/15
f8 73 273 336 372 391 410 422 15/15
2.4 (1.0) 4.2 (1) 4.7 (1) 5.0 (1) 5.1 (0.9) 5.4 (0.9) 5.5 (0.9) 15/15
f9 35 127 214 263 300 335 369 15/15
5.2 (2) 6.8 (4) 6.3 (2) 6.1 (2) 5.8 (2) 5.7 (1) 5.7 (1) 15/15
f10 349 500 574 607 626 829 880 15/15
2.0 (0.7) 1.8 (0.4) 1.8 (0.3) 1.8 (0.3) 1.9 (0.3) 1.6 (0.2) 1.7 (0.2) 15/15
f11 143 202 763 977 1177 1467 1673 15/15
3.7 (1.0) 3.2 (0.8) 0.97 (0.2) 0.87 (0.1) 0.79 (0.1) 0.74 (0.1) 0.73 (0.1) 15/15
f12 108 268 371 413 461 1303 1494 15/15
4.8 (0.6) 6.5 (5) 7.3 (6) 7.7 (6) 7.7 (6) 3.4 (3) 3.4 (3) 15/15
f13 132 195 250 319 1310 1752 2255 15/15
2.4 (1) 3.1 (1) 4.2 (1) 4.1 (0.5) 1.2 (0.2) 1.2 (0.2) 1.2 (0.2) 15/15
f14 10 41 58 90 139 251 476 15/15
0.66 (0.9) 1.9 (0.7) 2.9 (0.6) 3.1 (1) 3.3 (0.4) 3.6 (0.5) 2.7 (0.3) 15/15
f15 511 9310 19369 19743 20073 20769 21359 14/15
1.8 (2) 0.97 (0.9) 0.92 (0.5) 0.92 (0.5) 0.93 (0.5) 0.93 (0.5) 0.94 (0.5) 15/15
f16 120 612 2662 10163 10449 11644 12095 15/15
2.1 (2) 3.5 (3) 1.2 (1) 0.73 (0.7) 0.89 (0.6) 0.83 (0.6) 0.84 (0.6) 15/15
f17 5.0 215 899 2861 3669 6351 7934 15/15
2.3 (3) 0.76 (0.3) 0.64 (0.2) 0.54 (0.5) 0.75 (0.7) 0.75 (0.6) 0.99 (0.7) 15/15
f18 103 378 3968 8451 9280 10905 12469 15/15
0.84 (0.7) 1.5 (0.4) 0.75 (0.9) 0.63 (0.5) 0.76 (0.4) 0.94 (0.6) 1.0 (0.6) 15/15
f19 1 1 242 1.0e5 1.2e5 1.2e5 1.2e5 15/15
1 1 60 (64) 0.71 (0.7) 0.75 (0.6) 0.76 (0.6) 0.76 (0.6) 15/15
f20 16 851 38111 51362 54470 54861 55313 14/15
2.3 (2) 5.8 (6) 1.7 (1) 1.3 (1) 1.3 (1) 1.3 (1) 1.3 (1) 15/15
f21 41 1157 1674 1692 1705 1729 1757 14/15
3.4 (2) 5.2 (14) 48 (101) 68 (109) 69 (103) 69 (106) 68 (101) 12/15
f22 71 386 938 980 1008 1040 1068 14/15
5.0 (10) 10 (15) 248 (322) 409 (611) 398 (426) 386 (493) 376 (344) 7/15
f23 3.0 518 14249 27890 31654 33030 34256 15/15
2.3 (2) 6.8 (6) 2.2 (2) 1.5 (1) 1.3 (1) 1.3 (1.0) 1.3 (1.0) 15/15
f24 1622 2.2e5 6.4e6 9.6e6 9.6e6 1.3e7 1.3e7 3/15
1.3 (1) 13 (14) 1.0 (1) 1.5 (2) 1.5 (2) 1.1 (1.0) 1.1 (1) 1/15

Previous dimension | Dimension = 10 | Next dimension

Δ f 1e+1 1e+0 1e-1 1e-2 1e-3 1e-5 1e-7 #succ
f1 22 23 23 23 23 23 23 15/15
3.9 (1) 11 (2) 17 (2) 23 (4) 30 (3) 43 (3) 57 (5) 15/15
f2 187 190 191 191 193 194 195 15/15
15 (3) 17 (3) 19 (2) 20 (2) 21 (2) 22 (1) 24 (2) 15/15
f3 1739 3600 3609 3636 3642 3646 3651 15/15
3.0 (2) 603 (892) 5485 (6213) 5445 (5873) 5436 (9087) 5431 (7520) 5425 (4948) 1/15
f4 2234 3626 3660 3695 3707 3744 28767 12/15
6.2 (4) ∞ ∞ ∞ ∞ ∞ ∞ 1438191 0/15
f5 20 20 20 20 20 20 20 15/15
4.9 (1) 6.2 (1) 6.3 (1) 6.3 (1) 6.3 (1) 6.3 (1) 6.3 (1) 15/15
f6 412 623 826 1039 1292 1841 2370 15/15
1.8 (0.7) 1.8 (0.5) 1.9 (0.4) 1.9 (0.3) 1.8 (0.2) 1.7 (0.1) 1.7 (0.1) 15/15
f7 172 1611 4195 5099 5141 5141 5389 15/15
2.2 (1) 1.1 (0.8) 0.87 (0.4) 0.80 (0.3) 0.89 (0.3) 0.89 (0.3) 0.87 (0.3) 15/15
f8 326 921 1114 1217 1267 1315 1343 15/15
2.5 (2) 5.5 (5) 5.6 (4) 5.6 (4) 5.7 (4) 5.9 (4) 6.0 (4) 15/15
f9 200 648 857 993 1065 1138 1185 15/15
2.5 (0.5) 6.4 (2) 6.4 (1) 6.2 (1) 6.1 (1) 6.2 (1) 6.3 (1) 15/15
f10 1835 2172 2455 2728 2802 4543 4739 15/15
1.6 (0.3) 1.5 (0.3) 1.5 (0.2) 1.4 (0.2) 1.4 (0.2) 0.95 (0.1) 0.98 (0.1) 15/15
f11 266 1041 2602 2954 3338 4092 4843 15/15
5.8 (1) 1.7 (0.2) 0.77 (0.1) 0.74 (0.1) 0.71 (0.1) 0.66 (0.1) 0.62 (0.0) 15/15
f12 515 896 1240 1390 1569 3660 5154 15/15
4.1 (5) 5.7 (6) 6.8 (4) 7.3 (4) 7.4 (3) 4.1 (1) 3.3 (1) 15/15
f13 387 596 797 1014 4587 6208 7779 15/15
2.0 (0.3) 4.5 (3) 6.1 (1.0) 5.4 (0.8) 1.3 (0.3) 1.5 (0.3) 1.5 (0.4) 15/15
f14 37 98 133 205 392 687 4305 15/15
1.5 (1) 2.8 (0.7) 3.5 (0.6) 3.7 (0.4) 3.2 (0.5) 3.7 (0.4) 0.92 (0.1) 15/15
f15 4774 39246 73643 74669 75790 77814 79834 12/15
0.89 (0.5) 1.1 (0.6) 0.93 (0.5) 0.94 (0.5) 0.94 (0.5) 0.95 (0.5) 0.96 (0.5) 15/15
f16 425 7029 15779 45669 51151 65798 71570 15/15
3.2 (1) 0.91 (1) 1.0 (0.4) 1.0 (1) 1.1 (1) 0.94 (0.8) 0.89 (0.8) 15/15
f17 26 429 2203 6329 9851 20190 26503 15/15
0.55 (0.7) 0.89 (0.2) 0.42 (0.1) 1.0 (1) 1.1 (0.9) 1.3 (1) 1.3 (0.6) 15/15
f18 238 836 7012 15928 27536 37234 42708 15/15
0.89 (0.4) 3.5 (0.3) 1.3 (2) 1.3 (0.8) 1.1 (0.6) 0.98 (0.6) 0.98 (0.5) 15/15
f19 1 1 10609 9.8e5 1.4e6 1.4e6 1.4e6 15/15
1 1 13 (9) 0.55 (0.2) 0.51 (0.2) 0.51 (0.2) 0.52 (0.2) 15/15
f20 32 15426 5.5e5 5.7e5 5.7e5 5.8e5 5.9e5 15/15
3.3 (2) 1.4 (1) 0.83 (0.6) 0.85 (0.6) 0.85 (0.6) 0.86 (0.6) 0.86 (0.6) 15/15
f21 130 2236 4392 4487 4618 5074 11329 15/15
1.6 (0.7) 32 (46) 45 (71) 45 (74) 43 (71) 40 (63) 18 (28) 12/15
f22 98 2839 6353 6620 6798 8296 10351 15/15
136 (65) 136 (153) 1277 (1920) 1226 (1181) 1194 (1607) 978 (1153) 784 (783) 1/15
f23 3.0 915 16425 1.8e5 2.0e5 2.1e5 2.1e5 15/15
1.4 (2) 14 (18) 12 (15) 15 (11) 14 (21) 14 (16) 13 (16) 7/15
f24 98761 1.0e6 7.5e7 7.5e7 7.5e7 7.5e7 7.5e7 1/15
19 (30) 13 (19) 0.38 (0.4) 0.38 (0.5) 0.38 (0.4) 0.38 (0.4) 0.38 (0.4) 1/15

Previous dimension | Dimension = 20 | Next dimension

Δ f 1e+1 1e+0 1e-1 1e-2 1e-3 1e-5 1e-7 #succ
f1 43 43 43 43 43 43 43 15/15
6.6 (1) 13 (1) 19 (2) 26 (1) 33 (2) 45 (2) 59 (3) 15/15
f2 385 386 387 388 390 391 393 15/15
29 (6) 34 (7) 37 (6) 39 (5) 41 (4) 43 (4) 44 (3) 15/15
f3 5066 7626 7635 7637 7643 7646 7651 15/15
12 (8) ∞ ∞ ∞ ∞ ∞ ∞ 2636711 0/15
f4 4722 7628 7666 7686 7700 7758 1.4e5 9/15
∞ ∞ ∞ ∞ ∞ ∞ ∞ 2395223 0/15
f5 41 41 41 41 41 41 41 15/15
5.3 (1) 6.5 (1) 6.7 (1) 6.7 (1) 6.7 (1) 6.7 (1) 6.7 (1) 15/15
f6 1296 2343 3413 4255 5220 6728 8409 15/15
1.7 (0.2) 1.3 (0.1) 1.2 (0.1) 1.1 (0.1) 1.1 (0.1) 1.1 (0.1) 1.1 (0.1) 15/15
f7 1351 4274 9503 16523 16524 16524 16969 15/15
0.75 (0.2) 2.3 (0.9) 1.7 (0.7) 1.1 (0.4) 1.1 (0.4) 1.1 (0.4) 1.0 (0.4) 15/15
f8 2039 3871 4040 4148 4219 4371 4484 15/15
5.0 (0.8) 5.4 (0.6) 6.1 (0.7) 6.5 (0.7) 6.6 (0.7) 6.7 (0.8) 6.8 (0.7) 15/15
f9 1716 3102 3277 3379 3455 3594 3727 15/15
5.8 (1) 6.8 (0.5) 7.5 (0.4) 7.8 (0.4) 8.0 (0.4) 8.1 (0.4) 8.0 (0.4) 15/15
f10 7413 8661 10735 13641 14920 17073 17476 15/15
1.5 (0.2) 1.5 (0.1) 1.3 (0.1) 1.1 (0.1) 1.1 (0.1) 0.99 (0.0) 1.0 (0.0) 15/15
f11 1002 2228 6278 8586 9762 12285 14831 15/15
4.4 (0.2) 2.2 (0.1) 0.84 (0.0) 0.66 (0.0) 0.62 (0.0) 0.55 (0.0) 0.50 (0.0) 15/15
f12 1042 1938 2740 3156 4140 12407 13827 15/15
3.1 (0.2) 5.5 (7) 7.2 (7) 8.8 (5) 7.9 (4) 3.5 (1) 3.7 (0.9) 15/15
f13 652 2021 2751 3507 18749 24455 30201 15/15
4.8 (7) 4.5 (4) 6.2 (4) 6.8 (3) 1.7 (0.6) 1.8 (0.6) 1.8 (0.5) 15/15
f14 75 239 304 451 932 1648 15661 15/15
2.9 (0.9) 2.5 (0.5) 3.3 (0.5) 3.9 (0.5) 3.4 (0.2) 4.7 (0.2) 0.84 (0.0) 15/15
f15 30378 1.5e5 3.1e5 3.2e5 3.2e5 4.5e5 4.6e5 15/15
0.86 (0.3) 1.2 (0.7) 0.78 (0.2) 0.79 (0.2) 0.79 (0.2) 0.59 (0.2) 0.60 (0.2) 15/15
f16 1384 27265 77015 1.4e5 1.9e5 2.0e5 2.2e5 15/15
2.0 (1) 1.3 (1) 1.1 (0.7) 0.85 (0.9) 0.98 (0.7) 1.1 (0.6) 1.1 (0.6) 15/15
f17 63 1030 4005 12242 30677 56288 80472 15/15
1.3 (1) 0.90 (0.3) 1.0 (2) 1.4 (1) 0.98 (0.9) 1.0 (0.3) 1.1 (0.7) 15/15
f18 621 3972 19561 28555 67569 1.3e5 1.5e5 15/15
0.89 (0.4) 0.50 (0.2) 0.72 (0.5) 1.3 (0.9) 0.85 (0.2) 0.81 (0.5) 0.86 (0.4) 15/15
f19 1 1 3.4e5 4.7e6 6.2e6 6.7e6 6.7e6 15/15
1 1 1.6 (0.6) 0.71 (0.5) 1.2 (0.7) 1.3 (1) 1.3 (1) 6/15
f20 82 46150 3.1e6 5.5e6 5.5e6 5.6e6 5.6e6 14/15
4.1 (1) 3.6 (1) 3.3 (2) 5.0 (7) 5.0 (6) 5.0 (4) 4.9 (6) 2/15
f21 561 6541 14103 14318 14643 15567 17589 15/15
3.2 (5) 86 (121) 89 (81) 88 (151) 86 (112) 81 (102) 72 (61) 7/15
f22 467 5580 23491 24163 24948 26847 1.3e5 12/15
26 (13) 121 (181) ∞ ∞ ∞ ∞ ∞ 1081607 0/15
f23 3.0 1614 67457 3.7e5 4.9e5 8.1e5 8.4e5 15/15
2.2 (2) 1668 (2480) 164 (163) ∞ ∞ ∞ ∞ 4002191 0/15
f24 1.3e6 7.5e6 5.2e7 5.2e7 5.2e7 5.2e7 5.2e7 3/15
20 (19) 7.6 (10) ∞ ∞ ∞ ∞ ∞ 4001879 0/15

Previous dimension | Dimension = 40 | First dimension

Δ f 1e+1 1e+0 1e-1 1e-2 1e-3 1e-5 1e-7 #succ
f1 83 83 83 83 83 83 83 15/15
8.2 (1) 14 (1) 20 (1) 26 (1) 32 (1) 45 (2) 57 (2) 15/15
f2 796 797 799 799 800 802 804 15/15
61 (7) 70 (8) 76 (5) 80 (5) 84 (6) 89 (5) 94 (5) 15/15
f3 15526 15602 15612 15641 15646 15651 15656 15/15
∞ ∞ ∞ ∞ ∞ ∞ ∞ 5666201 0/15
f4 15536 15601 15659 15678 15703 15733 2.8e5 6/15
∞ ∞ ∞ ∞ ∞ ∞ ∞ 5583911 0/15
f5 98 116 120 121 121 121 121 15/15
5.2 (0.6) 5.0 (0.5) 5.0 (0.6) 4.9 (0.6) 4.9 (0.6) 4.9 (0.6) 4.9 (0.6) 15/15
f6 3507 5523 7168 9470 11538 15007 19222 15/15
1.4 (0.2) 1.3 (0.1) 1.3 (0.1) 1.2 (0.1) 1.2 (0.1) 1.2 (0.1) 1.2 (0.1) 15/15
f7 10698 17839 41037 66294 66294 66294 68145 15/15
1.2 (0.8) 4.5 (1) 2.3 (0.1) 1.5 (0.1) 1.5 (0.1) 1.5 (0.1) 1.5 (0.1) 15/15
f8 7080 10655 11012 11265 11430 11701 11969 15/15
10 (2) 10 (8) 11 (8) 11 (8) 11 (8) 11 (8) 11 (7) 15/15
f9 6122 12982 13300 13496 13651 13909 14142 15/15
12 (1.0) 7.5 (0.5) 8.0 (0.4) 8.4 (0.4) 8.6 (0.5) 8.8 (0.4) 8.8 (0.4) 15/15
f10 25536 29762 35676 51579 56007 65128 70824 15/15
1.9 (0.2) 1.8 (0.1) 1.7 (0.1) 1.2 (0.1) 1.2 (0.0) 1.1 (0.0) 1.0 (0.0) 15/15
f11 2368 4855 11681 25315 29749 38949 48211 15/15
5.8 (0.2) 3.1 (0.1) 1.3 (0.0) 0.65 (0.0) 0.58 (0.0) 0.48 (0.0) 0.41 (0.0) 15/15
f12 4169 7452 9174 10751 13146 22758 25192 15/15
2.8 (6) 7.5 (6) 9.3 (4) 8.9 (3) 8.6 (3) 6.2 (2) 6.3 (2) 15/15
f13 2029 6916 8734 11861 71936 98467 1.2e5 15/15
2.1 (0.2) 4.9 (5) 11 (7) 13 (6) 2.5 (0.9) 2.6 (0.7) 2.6 (0.8) 15/15
f14 304 616 777 1105 2207 4825 57711 15/15
1.9 (0.4) 2.1 (0.2) 2.8 (0.2) 3.5 (0.2) 3.9 (0.3) 5.5 (0.2) 0.84 (0.0) 15/15
f15 1.9e5 7.9e5 1.0e6 1.1e6 1.1e6 1.1e6 1.1e6 15/15
0.86 (0.3) 0.70 (0.3) 0.74 (0.4) 0.74 (0.5) 0.75 (0.5) 0.76 (0.5) 0.77 (0.5) 15/15
f16 5244 72122 3.2e5 7.1e5 1.4e6 2.0e6 2.0e6 15/15
1.0 (0.3) 1.2 (0.2) 0.84 (0.4) 0.70 (0.3) 0.39 (0.2) 0.40 (0.3) 0.41 (0.3) 15/15
f17 399 4220 14158 34948 51958 1.3e5 2.7e5 14/15
0.54 (0.3) 0.45 (0.1) 0.71 (1) 0.92 (0.5) 0.86 (0.3) 0.84 (0.3) 0.81 (0.3) 15/15
f18 1442 16998 47068 1.3e5 1.9e5 6.7e5 9.5e5 15/15
1.0 (0.2) 0.78 (0.9) 0.99 (0.4) 0.67 (0.2) 0.67 (0.2) 0.50 (0.3) 0.45 (0.2) 15/15
f19 1 1 1.4e6 1.7e7 2.6e7 4.5e7 4.5e7 8/15
1 1 1.5 (0.6) 7.1 (8) ∞ ∞ ∞ 8002495 0/15
f20 222 1.3e5 1.6e8 ∞ ∞ ∞ ∞ 0/15
3.3 (0.6) 9.1 (1) ∞ ∞ ∞ ∞ ∞ 0/15
f21 1044 21144 1.0e5 1.0e5 1.0e5 1.0e5 1.0e5 26/30
2.4 (4) 59 (61) 49 (68) 49 (68) 49 (92) 49 (67) 48 (60) 5/15
f22 3090 35442 6.5e5 6.5e5 6.5e5 6.5e5 6.5e5 8/30
62 (7) 88 (122) ∞ ∞ ∞ ∞ ∞ 2463326 0/15
f23 7.0 11925 75453 6.6e5 1.3e6 3.2e6 3.4e6 15/15
1.6 (2) 339 (839) 122 (212) ∞ ∞ ∞ ∞ 8005136 0/15
f24 5.8e6 9.8e7 3.0e8 3.0e8 3.0e8 3.0e8 3.0e8 1/15
8.9 (13) ∞ ∞ ∞ ∞ ∞ ∞ 8005421 0/15

Expected runtime (ERT in number of f-evaluations) divided by the ERT of the best algorithm from BBOB 2009 in different dimensions. This ERT  ratio and, in braces as dispersion measure, the half difference between 90 and 10%-tile of bootstrapped run lengths appear in the second row of each cell, the best ERT  (preceded by the target ∆f-value in italics) in the first. #succ is the number of trials that reached the target value of the last column. The median number of conducted evaluations is additionally given in italics, if the target in the last column was never reached. Bold entries are statistically significantly better (according to the rank-sum test) compared to the best algorithm from BBOB 2009, with p = 0.05 or p = 10−k when the number k > 1 is following the ↓ symbol, with Bonferroni correction by the number of functions (24).