TIMEOUT (t) | WRONG (w) | BEST (b) | FASTEST (b) | UNSAT (u) | SUBOPTIMAL (s) |
Problem | mccs+cbc | mccs+cplex | mccs+glpk | mccs+gurobi | mccs+lpsolve | mccs+scip | packup+core_merge | packup+core_merge_dc | packup+core_rebuild | packup+core_rebuild_dc | packup+core_rebuild_incr | packup+core_rebuild_incr_dc | packup+core_static | packup+binary | packup+linear-su | packup+linear-us | Problem |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
rand375.cudf | Time: 3.59958s b 0 0 |
Time: 1.64314s b 0 0 |
Time: 1.88382s b 0 0 |
Time: 1.74109s b 0 0 |
Time: 2.88639s b 0 0 |
Time: 4.88167s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08551s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.10056s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.12579s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08325s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13675s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.14529s b 0 0 |
SN 1: 1165w 29078c SN 2: 529w 10297c Time: 1.40521s b 0 0 |
SN 1: 1165w 29078c SN 2: 529w 10297c Time: 1.41305s b 0 0 |
SN 1: 1165w 29078c SN 2: 529w 10297c Time: 1.29346s b 0 0 |
SN 1: 1165w 29078c SN 2: 529w 10297c Time: 1.36842s b 0 0 |
rand375.cudf |
rand439.cudf | Time: 62.4565s b 191 46 |
Time: 10.6665s b 191 46 |
Time: 180.126s t |
Time: 6.54482s b 191 46 |
Time: 180.122s t |
Time: 145.379s b 191 46 |
SN 1: 1297w 207939c SN 2: 613w 41512c Time: 9.36076s b 191 46 |
SN 1: 1002w 29614c SN 2: 380w 8208c Time: 2.73176s b 191 46 |
SN 1: 1323w 34397c SN 2: 594w 12183c Time: 180.237s t 191 47 |
SN 1: 1085w 26331c SN 2: 444w 8221c Time: 6.67441s b 191 46 |
SN 1: 1085w 26331c SN 2: 467w 8773c Time: 182.297s t 191 46 |
SN 1: 1057w 25347c SN 2: 431w 7938c Time: 11.5357s b 191 46 |
SN 1: 2862w 91107c SN 2: 1912w 54071c Time: 29.6459s b 191 46 |
SN 1: 2862w 91107c SN 2: 1912w 54071c Time: 22.2817s b 191 46 |
SN 1: 2862w 91107c SN 2: 1912w 54071c Time: 84.1939s b 191 46 |
SN 1: 2862w 91107c SN 2: 1912w 54071c Time: 12.9619s b 191 46 |
rand439.cudf |
rand790.cudf | Time: 27.4093s b 478 62 |
Time: 3.82253s b 478 62 |
Time: 180.023s t |
Time: 3.20088s b 478 62 |
Time: 180.105s t |
Time: 54.1863s b 478 62 |
SN 1: 535w 128986c SN 2: 64w 1969c Time: 2.38854s b 478 62 |
SN 1: 251w 4312c SN 2: 87w 902c Time: 1.70106s b 478 62 |
SN 1: 796w 17793c SN 2: 181w 2487c Time: 35.2701s b 478 62 |
SN 1: 290w 4686c SN 2: 123w 1415c Time: 2.09679s b 478 62 |
SN 1: 681w 14624c SN 2: 105w 1155c Time: 23.6538s b 478 62 |
SN 1: 248w 3715c SN 2: 89w 922c Time: 1.86996s b 478 62 |
SN 1: 2916w 93205c SN 2: 1966w 55904c Time: 18.0316s b 478 62 |
SN 1: 2916w 93205c SN 2: 1966w 55904c Time: 18.9528s b 478 62 |
SN 1: 2916w 93205c SN 2: 1966w 55904c Time: 33.9497s b 478 62 |
SN 1: 2916w 93205c SN 2: 1966w 55904c Time: 7.4714s b 478 62 |
rand790.cudf |
rand598.cudf | Time: 30.3502s b 107 50 |
Time: 5.6722s b 107 50 |
Time: 180.102s t |
Time: 4.01948s b 107 50 |
Time: 180.021s t |
Time: 48.2121s b 107 50 |
SN 1: 577w 49744c SN 2: 144w 5435c Time: 2.57771s b 107 50 |
SN 1: 610w 14294c SN 2: 136w 1735c Time: 1.26928s b 107 50 |
SN 1: 480w 9039c SN 2: 109w 1214c Time: 9.00115s b 107 50 |
SN 1: 818w 18437c SN 2: 173w 2342c Time: 2.10337s b 107 50 |
SN 1: 340w 5849c SN 2: 71w 661c Time: 6.46069s b 107 50 |
SN 1: 636w 13301c SN 2: 175w 2373c Time: 1.60837s b 107 50 |
SN 1: 2311w 69237c SN 2: 1361w 35678c Time: 9.35431s b 107 50 |
SN 1: 2311w 69237c SN 2: 1361w 35678c Time: 12.09s b 107 50 |
SN 1: 2311w 69237c SN 2: 1361w 35678c Time: 17.1209s b 107 50 |
SN 1: 2311w 69237c SN 2: 1361w 35678c Time: 5.31028s b 107 50 |
rand598.cudf |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf | Time: 10.727s b 8 8 |
Time: 2.1224s b 8 8 |
Time: 180.027s t |
Time: 1.51501s b 8 8 |
Time: 180.096s t |
Time: 5.87615s b 8 8 |
SN 1: 31w 351c SN 2: 9w 33c Time: 0.885849s b 8 8 |
SN 1: 19w 91c SN 2: 14w 53c Time: 0.923879s b 8 8 |
SN 1: 31w 186c SN 2: 9w 26c Time: 1.01446s b 8 8 |
SN 1: 19w 91c SN 2: 14w 53c Time: 0.860162s b 8 8 |
SN 1: 31w 186c SN 2: 9w 26c Time: 0.965063s b 8 8 |
SN 1: 19w 91c SN 2: 14w 53c Time: 0.870437s b 8 8 |
SN 1: 1300w 33573c SN 2: 350w 6066c Time: 1.45841s b 8 8 |
SN 1: 1300w 33573c SN 2: 350w 6066c Time: 5.43787s b 8 8 |
SN 1: 1300w 33573c SN 2: 350w 6066c Time: 8.01838s b 8 8 |
SN 1: 1300w 33573c SN 2: 350w 6066c Time: 1.20329s b 8 8 |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf | Time: 2.64368s b 0 0 |
Time: 0.878683s b 0 0 |
Time: 1.3351s b 0 0 |
Time: 0.947439s b 0 0 |
Time: 2.50089s b 0 0 |
Time: 2.12701s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.88342s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.841145s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.867497s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.830811s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.936557s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.87794s b 0 0 |
SN 1: 1937w 54927c SN 2: 992w 23263c Time: 1.2369s b 0 0 |
SN 1: 1937w 54927c SN 2: 992w 23263c Time: 1.18341s b 0 0 |
SN 1: 1937w 54927c SN 2: 992w 23263c Time: 1.25789s b 0 0 |
SN 1: 1937w 54927c SN 2: 992w 23263c Time: 1.22254s b 0 0 |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf | Time: 3.34912s b 0 0 |
Time: 0.646584s b 0 0 |
Time: 1.47201s b 0 0 |
Time: 0.675395s b 0 0 |
Time: 1.96364s b 0 0 |
Time: 1.24196s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.683533s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.71445s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.738312s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.671677s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.783423s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.789462s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.08739s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.03522s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.10233s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.06028s b 0 0 |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf | Time: 3.06369s b 0 0 |
Time: 0.58352s b 0 0 |
Time: 1.38033s b 0 0 |
Time: 0.679159s b 0 0 |
Time: 1.91096s b 0 0 |
Time: 1.22475s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.703719s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.691567s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.685988s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.633234s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.740324s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.683805s b 0 0 |
SN 1: 2498w 76681c SN 2: 668w 14245c Time: 0.959134s b 0 0 |
SN 1: 2498w 76681c SN 2: 668w 14245c Time: 0.987171s b 0 0 |
SN 1: 2498w 76681c SN 2: 668w 14245c Time: 1.09062s b 0 0 |
SN 1: 2498w 76681c SN 2: 668w 14245c Time: 1.0341s b 0 0 |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf |
rand740.cudf | Time: 3.35792s b 0 0 |
Time: 1.45088s b 0 0 |
Time: 1.83783s b 0 0 |
Time: 1.59365s b 0 0 |
Time: 2.47028s b 0 0 |
Time: 4.30585s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.09006s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.11365s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.11167s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.07803s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.1863s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.12235s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.27394s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.29375s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.39618s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.29716s b 0 0 |
rand740.cudf |
rand692.cudf | Time: 1.08917s b 98 4 |
Time: 0.739609s b 98 4 |
Time: 1.01222s b 98 4 |
Time: 0.852715s b 98 4 |
Time: 54.4083s b 98 4 |
Time: 1.44048s b 98 4 |
SN 1: 99w 4851c SN 2: 4w 6c Time: 0.701544s b 98 4 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.683025s b 98 4 |
SN 1: 99w 1064c SN 2: 4w 5c Time: 1.51427s b 98 4 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.642903s b 98 4 |
SN 1: 99w 1064c SN 2: 4w 5c Time: 0.862344s b 98 4 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.651963s b 98 4 |
SN 1: 1722w 47756c SN 2: 150w 1917c Time: 2.27066s b 98 4 |
SN 1: 1722w 47756c SN 2: 150w 1917c Time: 1.13823s b 98 4 |
SN 1: 1722w 47756c SN 2: 150w 1917c Time: 37.0857s b 98 4 |
SN 1: 1722w 47756c SN 2: 150w 1917c Time: 1.05247s b 98 4 |
rand692.cudf |
rand434.cudf | Time: 1.497s b 100 62 |
Time: 0.873463s b 100 62 |
Time: 1.47163s b 100 62 |
Time: 0.987035s b 100 62 |
Time: 180.101s t |
Time: 2.23046s b 100 62 |
SN 1: 146w 8620c SN 2: 63w 1924c Time: 0.715659s b 100 62 |
SN 1: 50w 401c SN 2: 20w 97c Time: 0.681232s b 100 62 |
SN 1: 131w 1547c SN 2: 63w 537c Time: 2.09196s b 100 62 |
SN 1: 120w 1367c SN 2: 24w 127c Time: 0.685553s b 100 62 |
SN 1: 151w 1935c SN 2: 63w 537c Time: 1.24317s b 100 62 |
SN 1: 50w 395c SN 2: 20w 97c Time: 0.722002s b 100 62 |
SN 1: 1867w 52632c SN 2: 295w 4814c Time: 2.83285s b 100 62 |
SN 1: 1867w 52632c SN 2: 295w 4814c Time: 6.81034s b 100 62 |
SN 1: 1867w 52632c SN 2: 295w 4814c Time: 10.4575s b 100 62 |
SN 1: 1867w 52632c SN 2: 295w 4814c Time: 1.33103s b 100 62 |
rand434.cudf |
c2164c84-b015-11df-8b50-00163e46d37a.cudf | Time: 2.33508s b 0 0 |
Time: 0.495659s b 0 0 |
Time: 1.10204s b 0 0 |
Time: 0.660144s b 0 0 |
Time: 0.632595s b 0 0 |
Time: 0.980725s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.653119s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.648846s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.640659s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.595332s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.674658s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.645429s b 0 0 |
SN 1: 2216w 65579c SN 2: 544w 10719c Time: 0.877615s b 0 0 |
SN 1: 2216w 65579c SN 2: 544w 10719c Time: 1.20232s b 0 0 |
SN 1: 2216w 65579c SN 2: 544w 10719c Time: 7.91846s b 0 0 |
SN 1: 2216w 65579c SN 2: 544w 10719c Time: 0.922271s b 0 0 |
c2164c84-b015-11df-8b50-00163e46d37a.cudf |
56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf | Time: 2.8144s b 83 83 |
Time: 1.11303s b 83 83 |
Time: 180.026s t |
Time: 1.14241s b 83 83 |
Time: 180.014s t |
Time: 3.13442s b 83 83 |
SN 1: 278w 24353c SN 2: 272w 23437c Time: 4.97884s b 83 83 |
SN 1: 241w 4354c SN 2: 229w 4249c Time: 1.27832s b 83 83 |
SN 1: 277w 4394c SN 2: 272w 4255c Time: 8.36481s b 83 83 |
SN 1: 244w 3649c SN 2: 236w 3505c Time: 1.54801s b 83 83 |
SN 1: 268w 4169c SN 2: 263w 4044c Time: 47.4142s b 83 83 |
SN 1: 242w 3613c SN 2: 234w 3471c Time: 1.65267s b 83 83 |
SN 1: 367w 6451c SN 2: 367w 6451c Time: 1.7992s b 83 83 |
SN 1: 367w 6451c SN 2: 367w 6451c Time: 1.40791s b 83 83 |
SN 1: 367w 6451c SN 2: 367w 6451c Time: 3.70177s b 83 83 |
SN 1: 367w 6451c SN 2: 367w 6451c Time: 1.4755s b 83 83 |
56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf |
rand7.cudf | Time: 0.513179s b 379 19 |
Time: 0.22941s b 379 19 |
Time: 0.477019s b 379 19 |
Time: 0.275711s b 379 19 |
Time: 0.499403s b 379 19 |
Time: 0.628872s b 379 19 |
SN 1: 417w 74905c SN 2: 32w 275c Time: 0.582212s b 379 19 |
SN 1: 35w 232c SN 2: 20w 97c Time: 0.297553s b 379 19 |
SN 1: 424w 7775c SN 2: 40w 283c Time: 3.71383s b 379 19 |
SN 1: 35w 232c SN 2: 20w 97c Time: 0.286535s b 379 19 |
SN 1: 424w 7775c SN 2: 40w 283c Time: 3.19953s b 379 19 |
SN 1: 35w 232c SN 2: 20w 97c Time: 0.285683s b 379 19 |
SN 1: 1286w 33040c SN 2: 336w 5743c Time: 2.04991s b 379 19 |
SN 1: 1286w 33040c SN 2: 336w 5743c Time: 0.440798s b 379 19 |
SN 1: 1286w 33040c SN 2: 336w 5743c Time: 0.447338s b 379 19 |
SN 1: 1286w 33040c SN 2: 336w 5743c Time: 0.421918s b 379 19 |
rand7.cudf |
rand18.cudf | Time: 3.35882s b 0 0 |
Time: 1.45446s b 0 0 |
Time: 1.64915s b 0 0 |
Time: 1.6035s b 0 0 |
Time: 2.48794s b 0 0 |
Time: 4.52496s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.1553s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.11664s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08104s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.07038s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.10761s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08777s b 0 0 |
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SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.3095s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.35835s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.36011s b 0 0 |
rand18.cudf |
rand438.cudf | Time: 3.36204s b 0 0 |
Time: 1.54083s b 0 0 |
Time: 1.82397s b 0 0 |
Time: 1.78528s b 0 0 |
Time: 2.52884s b 0 0 |
Time: 4.09085s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13509s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.16543s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08076s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08533s b 0 0 |
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SN 1: 0w 0c SN 2: 0w 0c Time: 1.08346s b 0 0 |
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SN 1: 1160w 28879c SN 2: 524w 10145c Time: 5.8675s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 7.86251s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.29466s b 0 0 |
rand438.cudf |
rand529.cudf | Time: 0.566064s b 133 36 |
Time: 0.279612s b 133 36 |
Time: 0.456909s b 133 36 |
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Time: 1.33335s b 133 36 |
SN 1: 175w 11314c SN 2: 54w 949c Time: 0.327713s b 133 36 |
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SN 1: 172w 2321c SN 2: 57w 474c Time: 1.37276s b 133 36 |
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SN 1: 1399w 36900c SN 2: 449w 8323c Time: 0.785439s b 133 36 |
rand529.cudf |
rand194.cudf | Time: 3.34431s b 0 0 |
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rand194.cudf |
4f84e9c6-a79c-11e0-9eb7-00163e1e087d.cudf | Time: 50.6859s u |
Time: 0.804425s u |
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Time: 1.09505s u |
Time: 1.10928s u |
4f84e9c6-a79c-11e0-9eb7-00163e1e087d.cudf |
rand125.cudf | Time: 6.37645s b 180 68 |
Time: 1.90215s b 180 68 |
Time: 180.018s t |
Time: 1.65129s b 180 68 |
Time: 180.017s t |
Time: 8.25942s b 180 68 |
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SN 1: 527w 10235c SN 2: 200w 2827c Time: 25.3295s b 180 68 |
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SN 1: 1871w 52761c SN 2: 921w 21335c Time: 106.598s b 180 68 |
SN 1: 1871w 52761c SN 2: 921w 21335c Time: 3.95635s b 180 68 |
rand125.cudf |
rand408.cudf | Time: 10.8655s b 551 74 |
Time: 2.2482s b 551 74 |
Time: 180.017s t |
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rand924.cudf |
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SN 1: 0w 0c SN 2: 0w 0c Time: 1.14865s b 11 11 |
SN 1: 3638w 121737c SN 2: 902w 20763c Time: 2.97809s b 11 11 |
SN 1: 3638w 121737c SN 2: 902w 20763c Time: 17.1379s b 11 11 |
SN 1: 3638w 121737c SN 2: 902w 20763c Time: 159.205s b 11 11 |
SN 1: 3638w 121737c SN 2: 902w 20763c Time: 2.04635s b 11 11 |
8680dd8a-8600-11e0-b285-00163e1e087d.cudf |
rand59.cudf | Time: 1.32308s b 119 10 |
Time: 0.773197s b 119 10 |
Time: 5.08807s b 119 10 |
Time: 0.774724s b 119 10 |
Time: 2.02693s b 119 10 |
Time: 1.84438s b 119 10 |
SN 1: 124w 7420c SN 2: 11w 51c Time: 0.687637s b 119 10 |
SN 1: 7w 16c SN 2: 3w 3c Time: 0.680112s b 119 10 |
SN 1: 124w 1425c SN 2: 11w 37c Time: 1.8864s b 119 10 |
SN 1: 7w 16c SN 2: 3w 3c Time: 0.672481s b 119 10 |
SN 1: 124w 1425c SN 2: 11w 37c Time: 1.00475s b 119 10 |
SN 1: 7w 16c SN 2: 3w 3c Time: 0.647129s b 119 10 |
SN 1: 1724w 47809c SN 2: 152w 1947c Time: 1.92827s b 119 10 |
SN 1: 1724w 47809c SN 2: 152w 1947c Time: 1.48047s b 119 10 |
SN 1: 1724w 47809c SN 2: 152w 1947c Time: 9.48682s b 119 10 |
SN 1: 1724w 47809c SN 2: 152w 1947c Time: 0.980652s b 119 10 |
rand59.cudf |
rand533.cudf | Time: 3.26723s b 0 0 |
Time: 1.438s b 0 0 |
Time: 1.66943s b 0 0 |
Time: 1.52555s b 0 0 |
Time: 2.79034s b 0 0 |
Time: 4.26608s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.12938s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13729s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.14632s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.15035s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.17228s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.12912s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.30551s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.33264s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.33192s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.34659s b 0 0 |
rand533.cudf |
rand929.cudf | Time: 1.78652s b 0 0 |
Time: 0.579492s b 0 0 |
Time: 0.895031s b 0 0 |
Time: 0.649925s b 0 0 |
Time: 0.685137s b 0 0 |
Time: 0.875879s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.660412s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.633686s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.656281s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.634567s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.706776s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.61899s b 0 0 |
SN 1: 1717w 47607c SN 2: 145w 1818c Time: 0.803926s b 0 0 |
SN 1: 1717w 47607c SN 2: 145w 1818c Time: 0.984652s b 0 0 |
SN 1: 1717w 47607c SN 2: 145w 1818c Time: 2.04311s b 0 0 |
SN 1: 1717w 47607c SN 2: 145w 1818c Time: 0.796887s b 0 0 |
rand929.cudf |
rand152.cudf | Time: 3.36844s b 0 0 |
Time: 1.44151s b 0 0 |
Time: 1.86304s b 0 0 |
Time: 1.51753s b 0 0 |
Time: 2.61656s b 0 0 |
Time: 4.32084s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13564s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13809s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.21371s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.09677s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.16652s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.087s b 0 0 |
SN 1: 1166w 29110c SN 2: 530w 10331c Time: 1.26837s b 0 0 |
SN 1: 1166w 29110c SN 2: 530w 10331c Time: 1.32084s b 0 0 |
SN 1: 1166w 29110c SN 2: 530w 10331c Time: 1.29846s b 0 0 |
SN 1: 1166w 29110c SN 2: 530w 10331c Time: 1.32779s b 0 0 |
rand152.cudf |
rand343.cudf | Time: 41.9866s b 185 78 |
Time: 7.87237s b 185 78 |
Time: 180.123s t |
Time: 5.46035s b 185 78 |
Time: 180.035s t |
Time: 113.064s b 185 78 |
SN 1: 1420w 223489c SN 2: 854w 70956c Time: 12.7962s b 185 78 |
SN 1: 863w 25003c SN 2: 181w 2831c Time: 2.01399s b 185 78 |
SN 1: 1489w 39868c SN 2: 697w 15052c Time: 128.294s b 185 78 |
SN 1: 1400w 36919c SN 2: 636w 13301c Time: 5.1732s b 185 78 |
SN 1: 1235w 31448c SN 2: 621w 12931c Time: 182.919s t 2707 1764 |
SN 1: 980w 22973c SN 2: 277w 4394c Time: 3.52784s b 185 78 |
SN 1: 2893w 92334c SN 2: 1943w 55143c Time: 17.0186s b 185 78 |
SN 1: 2893w 92334c SN 2: 1943w 55143c Time: 22.1061s b 185 78 |
SN 1: 2893w 92334c SN 2: 1943w 55143c Time: 180.424s t 701 74 |
SN 1: 2893w 92334c SN 2: 1943w 55143c Time: 9.45097s b 185 78 |
rand343.cudf |
rand437.cudf | Time: 3.23124s b 0 0 |
Time: 1.43907s b 0 0 |
Time: 1.77221s b 0 0 |
Time: 1.46304s b 0 0 |
Time: 2.63844s b 0 0 |
Time: 4.38804s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.11818s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.09921s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.14531s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.1407s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.06899s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.11928s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.27091s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.32232s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.39031s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.33339s b 0 0 |
rand437.cudf |
dd08e73e-d489-11df-b9cf-00163e3d3b7c.cudf | Time: 17.6223s b 2 2 |
Time: 4.10866s b 2 2 |
Time: 14.5711s b 2 2 |
Time: 2.99866s b 2 2 |
Time: 180.016s t |
Time: 16.3228s b 2 2 |
SN 1: 2w 1c SN 2: 2w 1c Time: 1.03075s b 2 2 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.98761s b 2 2 |
SN 1: 2w 1c SN 2: 2w 1c Time: 1.13969s b 2 2 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.02127s b 2 2 |
SN 1: 2w 1c SN 2: 2w 1c Time: 0.958919s b 2 2 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.02431s b 2 2 |
SN 1: 3788w 127733c SN 2: 743w 16312c Time: 2.06359s b 2 2 |
SN 1: 3788w 127733c SN 2: 743w 16312c Time: 22.8191s b 2 2 |
SN 1: 3788w 127733c SN 2: 743w 16312c Time: 180.034s t 2 2 |
SN 1: 3788w 127733c SN 2: 743w 16312c Time: 2.0007s b 2 2 |
dd08e73e-d489-11df-b9cf-00163e3d3b7c.cudf |
rand662.cudf | Time: 22.303s b 42 11 |
Time: 7.70564s b 42 11 |
Time: 180.101s t |
Time: 5.41066s b 42 11 |
Time: 180.128s t |
Time: 28.3991s b 42 11 |
SN 1: 52w 1209c SN 2: 14w 78c Time: 1.54044s b 42 11 |
SN 1: 12w 41c SN 2: 6w 12c Time: 1.41421s b 42 11 |
SN 1: 56w 459c SN 2: 14w 53c Time: 3.80906s b 42 11 |
SN 1: 12w 41c SN 2: 6w 12c Time: 1.46208s b 42 11 |
SN 1: 52w 417c SN 2: 14w 53c Time: 1.72195s b 42 11 |
SN 1: 12w 41c SN 2: 6w 12c Time: 1.4661s b 42 11 |
SN 1: 3884w 131477c SN 2: 992w 23263c Time: 5.10478s b 42 11 |
SN 1: 3884w 131477c SN 2: 992w 23263c Time: 16.4876s b 42 11 |
SN 1: 3884w 131477c SN 2: 992w 23263c Time: 24.7159s b 42 11 |
SN 1: 3884w 131477c SN 2: 992w 23263c Time: 3.49889s b 42 11 |
rand662.cudf |
rand230.cudf | Time: 3.67162s b 279 57 |
Time: 1.27903s b 279 57 |
Time: 102.567s b 279 57 |
Time: 1.00617s b 279 57 |
Time: 180.018s t |
Time: 7.01763s b 279 57 |
SN 1: 396w 52703c SN 2: 89w 2094c Time: 0.893282s b 279 57 |
SN 1: 249w 3809c SN 2: 128w 1552c Time: 0.66911s b 279 57 |
SN 1: 716w 15581c SN 2: 209w 3002c Time: 35.3786s b 279 57 |
SN 1: 275w 4344c SN 2: 141w 1747c Time: 1.03346s b 279 57 |
SN 1: 621w 12931c SN 2: 200w 2827c Time: 49.4412s b 279 57 |
SN 1: 269w 4197c SN 2: 139w 1710c Time: 1.00742s b 279 57 |
SN 1: 1853w 52126c SN 2: 903w 20795c Time: 9.30047s b 279 57 |
SN 1: 1853w 52126c SN 2: 903w 20795c Time: 10.2359s b 279 57 |
SN 1: 1853w 52126c SN 2: 903w 20795c Time: 32.1463s b 279 57 |
SN 1: 1853w 52126c SN 2: 903w 20795c Time: 8.36522s b 279 57 |
rand230.cudf |
2c3aece6-c8b2-11df-a040-00163e3d3b7c.cudf | Time: 5.95892s b 0 0 |
Time: 1.0985s b 0 0 |
Time: 7.0333s b 0 0 |
Time: 1.1667s b 0 0 |
Time: 9.85231s b 0 0 |
Time: 2.63244s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.10348s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.07105s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.16082s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.18399s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13434s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13725s b 0 0 |
SN 1: 3869w 130852c SN 2: 866w 19785c Time: 1.85912s b 0 0 |
SN 1: 3869w 130852c SN 2: 866w 19785c Time: 1.77375s b 0 0 |
SN 1: 3869w 130852c SN 2: 866w 19785c Time: 1.856s b 0 0 |
SN 1: 3869w 130852c SN 2: 866w 19785c Time: 1.75015s b 0 0 |
2c3aece6-c8b2-11df-a040-00163e3d3b7c.cudf |
d5026b8e-3477-11e0-986e-00163e3d3b7c.cudf | Time: 3.04537s b 0 0 |
Time: 0.640153s b 0 0 |
Time: 1.53168s b 0 0 |
Time: 0.701654s b 0 0 |
Time: 1.97092s b 0 0 |
Time: 1.22292s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.676881s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.671688s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.733869s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.723987s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.748386s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.666573s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.06762s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.01669s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.10621s b 0 0 |
SN 1: 2501w 76819c SN 2: 664w 14131c Time: 1.05323s b 0 0 |
d5026b8e-3477-11e0-986e-00163e3d3b7c.cudf |
rand105.cudf | Time: 3.21449s b 0 0 |
Time: 1.43793s b 0 0 |
Time: 1.93375s b 0 0 |
Time: 1.52711s b 0 0 |
Time: 2.65643s b 0 0 |
Time: 4.7515s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08756s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.12133s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13286s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.1353s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.15527s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.07963s b 0 0 |
SN 1: 1164w 29037c SN 2: 528w 10255c Time: 1.29744s b 0 0 |
SN 1: 1164w 29037c SN 2: 528w 10255c Time: 1.28921s b 0 0 |
SN 1: 1164w 29037c SN 2: 528w 10255c Time: 1.35795s b 0 0 |
SN 1: 1164w 29037c SN 2: 528w 10255c Time: 1.28311s b 0 0 |
rand105.cudf |
8afdd89e-51b8-11e0-acd7-00163e1e087d.cudf | Time: 10.8389s b 46 19 |
Time: 3.36574s b 46 19 |
Time: 4.77087s b 46 19 |
Time: 1.96999s b 46 19 |
Time: 180.018s t |
Time: 13.2636s b 46 19 |
SN 1: 53w 1149c SN 2: 24w 210c Time: 0.904772s b 46 19 |
SN 1: 9w 26c SN 2: 6w 12c Time: 0.844214s b 46 19 |
SN 1: 53w 431c SN 2: 24w 127c Time: 2.31546s b 46 19 |
SN 1: 9w 26c SN 2: 6w 12c Time: 0.889054s b 46 19 |
SN 1: 53w 431c SN 2: 24w 127c Time: 1.1475s b 46 19 |
SN 1: 9w 26c SN 2: 6w 12c Time: 0.800603s b 46 19 |
SN 1: 2939w 94022c SN 2: 589w 12042c Time: 3.28901s b 46 19 |
SN 1: 2939w 94022c SN 2: 589w 12042c Time: 1.33828s b 46 19 |
SN 1: 2939w 94022c SN 2: 589w 12042c Time: 1.42752s b 46 19 |
SN 1: 2939w 94022c SN 2: 589w 12042c Time: 1.33155s b 46 19 |
8afdd89e-51b8-11e0-acd7-00163e1e087d.cudf |
rand519.cudf | Time: 104.037s b 379 53 |
Time: 11.4096s b 379 53 |
Time: 180.023s t |
Time: 7.53381s b 379 53 |
Time: 180.122s t |
Time: 180.662s t |
SN 1: 1588w 275560c SN 2: 874w 70197c Time: 14.8357s b 379 53 |
SN 1: 911w 21905c SN 2: 459w 9312c Time: 2.53494s b 379 53 |
SN 1: 1547w 41700c SN 2: 804w 18029c Time: 94.3596s b 379 53 |
SN 1: 1256w 32103c SN 2: 606w 12507c Time: 5.43026s b 379 53 |
Time: 124.998s w |
SN 1: 1034w 24506c SN 2: 567w 11409c Time: 4.18786s b 379 53 |
SN 1: 2997w 96283c SN 2: 2047w 58356c Time: 29.5782s b 379 53 |
SN 1: 2997w 96283c SN 2: 2047w 58356c Time: 23.4457s b 379 53 |
SN 1: 2997w 96283c SN 2: 2047w 58356c Time: 62.9199s b 379 53 |
SN 1: 2997w 96283c SN 2: 2047w 58356c Time: 15.4711s b 379 53 |
rand519.cudf |
rand298.cudf | Time: 0.418855s b 90 42 |
Time: 0.210606s b 90 42 |
Time: 0.315906s b 90 42 |
Time: 0.229455s b 90 42 |
Time: 0.496435s b 90 42 |
Time: 0.465994s b 90 42 |
SN 1: 90w 4005c SN 2: 42w 861c Time: 0.276444s b 90 42 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.277603s b 90 42 |
SN 1: 90w 936c SN 2: 42w 309c Time: 0.98852s b 90 42 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.27222s b 90 42 |
SN 1: 90w 936c SN 2: 42w 309c Time: 0.458019s b 90 42 |
SN 1: 0w 0c SN 2: 0w 0c Time: 0.254141s b 90 42 |
SN 1: 1299w 33540c SN 2: 349w 6049c Time: 1.58042s b 90 42 |
SN 1: 1299w 33540c SN 2: 349w 6049c Time: 0.72195s b 90 42 |
SN 1: 1299w 33540c SN 2: 349w 6049c Time: 4.91626s b 90 42 |
SN 1: 1299w 33540c SN 2: 349w 6049c Time: 0.434591s b 90 42 |
rand298.cudf |
rand600.cudf | Time: 0.84441s b 208 35 |
Time: 0.270332s b 208 35 |
Time: 0.662336s b 208 35 |
Time: 0.264743s b 208 35 |
Time: 0.751827s b 208 35 |
Time: 0.751452s b 208 35 |
SN 1: 216w 22313c SN 2: 39w 646c Time: 0.377081s b 208 35 |
SN 1: 11w 37c SN 2: 7w 16c Time: 0.273009s b 208 35 |
SN 1: 216w 3131c SN 2: 39w 276c Time: 2.13397s b 208 35 |
SN 1: 11w 37c SN 2: 7w 16c Time: 0.294588s b 208 35 |
SN 1: 216w 3131c SN 2: 39w 276c Time: 1.07127s b 208 35 |
SN 1: 11w 37c SN 2: 7w 16c Time: 0.260808s b 208 35 |
SN 1: 1295w 33382c SN 2: 345w 5964c Time: 2.26026s b 208 35 |
SN 1: 1295w 33382c SN 2: 345w 5964c Time: 0.641104s b 208 35 |
SN 1: 1295w 33382c SN 2: 345w 5964c Time: 21.8038s b 208 35 |
SN 1: 1295w 33382c SN 2: 345w 5964c Time: 0.653121s b 208 35 |
rand600.cudf |
rand208.cudf | Time: 180.138s t |
Time: 15.0264s b 312 137 |
Time: 180.027s t |
Time: 8.05769s b 312 137 |
Time: 180.123s t |
Time: 131.374s b 312 137 |
SN 1: 1649w 340737c SN 2: 903w 69002c Time: 56.8994s b 312 137 |
SN 1: 1443w 47033c SN 2: 799w 20579c Time: 10.0351s b 312 137 |
SN 1: 1645w 45157c SN 2: 946w 22035c Time: 180.251s t 2863 1923 |
SN 1: 1536w 41215c SN 2: 942w 21927c Time: 180.2s t 312 139 |
SN 1: 1141w 28258c SN 2: 646w 13595c Time: 181.879s t 2863 1923 |
SN 1: 1516w 40701c SN 2: 925w 21443c Time: 180.268s t 312 138 |
SN 1: 3141w 101932c SN 2: 2191w 64529c Time: 180.356s t 2863 1923 |
SN 1: 3141w 101932c SN 2: 2191w 64529c Time: 180.359s t 312 139 |
SN 1: 3141w 101932c SN 2: 2191w 64529c Time: 180.389s t 312 137 |
SN 1: 3141w 101932c SN 2: 2191w 64529c Time: 180.411s t 2863 1923 |
rand208.cudf |
rand796.cudf | Time: 3.59627s b 0 0 |
Time: 1.46226s b 0 0 |
Time: 1.84836s b 0 0 |
Time: 1.56404s b 0 0 |
Time: 2.62408s b 0 0 |
Time: 4.68828s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.13207s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.07865s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.14048s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.15674s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.12502s b 0 0 |
SN 1: 0w 0c SN 2: 0w 0c Time: 1.08042s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.34072s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.29692s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.3706s b 0 0 |
SN 1: 1160w 28879c SN 2: 524w 10145c Time: 1.33639s b 0 0 |
rand796.cudf |
rand21.cudf | Time: 22.774s b 31 5 |
Time: 8.16584s b 31 5 |
Time: 180.027s t |
Time: 5.1002s b 31 5 |
Time: 180.03s t |
Time: 37.8534s b 31 5 |
SN 1: 38w 604c SN 2: 5w 10c Time: 1.44287s b 31 5 |
SN 1: 14w 53c SN 2: 0w 0c Time: 1.32115s b 31 5 |
SN 1: 38w 265c SN 2: 5w 9c Time: 2.95626s b 31 5 |
SN 1: 14w 53c SN 2: 0w 0c Time: 1.46752s b 31 5 |
SN 1: 38w 265c SN 2: 5w 9c Time: 1.80311s b 31 5 |
SN 1: 14w 53c SN 2: 0w 0c Time: 1.41237s b 31 5 |
SN 1: 3882w 131401c SN 2: 990w 23229c Time: 4.11275s b 31 5 |
SN 1: 3882w 131401c SN 2: 990w 23229c Time: 19.3662s b 31 5 |
SN 1: 3882w 131401c SN 2: 990w 23229c Time: 20.0822s b 31 5 |
SN 1: 3882w 131401c SN 2: 990w 23229c Time: 3.02769s b 31 5 |
rand21.cudf |
* Time in seconds:
- In the case of packup, we also show the size of the sorting networks: the number of wires and the number of comparators. In the case of dynamic sorting networks, we show the size of the largest sorting networks.
* one of the following letters:
- t (if the solver reached a timeout (180 seconds); the numbers that follow are the values of the objective functions for the feasible solution output by the solver
- u (if the solver outputs UNSAT)
- w (if the output is wrong)
- s (if the output is a feasible solution and is suboptimal; the numbers that follow are the objective values)
- b (if the output is a solution and no better solution was found; the numbers that follow are the objective values)
* All solvers and tools were run with a single thread.
* The package upgradeability tool mccs , version 1.1, implements the ILP-based algorithm, explained in this report. The algorithm is adapted from this work in the context of Constraint Programming. mccs was run with the following ILP solvers:
- Gurobi, version 9.0.3
- CPLEX, version 12.10.0
- SCIP, version 7.0.1
- Cbc, version devel, build date: January 14 2021
- GLPK, version v4.65
- lpsolve, version 5.5.2.5
* The package upgradeability tool packup was linked to a C++ library implementing SAT-based leximax optimisation algorithms. The following algorithms were tested:
Non-core-guided algorithms (static sorting networks, each with the largest possible size):
- linear-su (Linear SAT-UNSAT search)
- linear-us (Linear UNSAT-SAT search)
- binary (Binary search)
Core-guided algorithms:
- core-static (Static sorting networks)
- core-merge (Dynamic sorting networks that grow by sorting the new variables and merging with the old sorting networks)
- core-rebuild (Dynamic sorting networks that grow by rebuilding the sorting networks and deleting the old encoding - does not allow continuous incremental SAT solving)
- core-rebuild-incr (Dynamic sorting networks that grow by rebuilding the sorting networks; does not delete the old encoding - allows incremental SAT solving)
- core-merge-dc (core-merge + disjoint cores step)
- core-rebuild-dc (core-rebuild + disjoint cores step)
- core-rebuild-incr-dc (core-rebuild-incr + disjoint cores step)
The CaDiCaL incremental SAT solving library was used, version 1.3.1.