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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
rand439.cudf | Time: 180.149s t |
Time: 76.1428s b 154 446 446 79 43 |
Time: 180.035s t |
Time: 57.6371s b 154 446 446 79 43 |
Time: 180.027s t |
Time: 180.574s t |
SN 1: 756w 189757c SN 2: 2337w 591233c SN 3: 1147w 330309c SN 4: 513w 26511c SN 5: 976w 43762c Time: 183.631s t 349 3176 1727 442 2290 |
SN 1: 497w 9438c SN 2: 1146w 28402c SN 3: 672w 14335c SN 4: 102w 1110c SN 5: 63w 537c Time: 180.273s t 188 343 583 41 51 |
SN 1: 459w 8586c SN 2: 792w 17675c SN 3: 518w 9953c SN 4: 10w 31c SN 5: 9w 26c Time: 180.303s t 349 3176 1727 442 2290 |
SN 1: 497w 9438c SN 2: 1146w 28402c SN 3: 672w 14335c SN 4: 102w 1110c SN 5: 63w 537c Time: 180.242s t 188 343 583 41 51 |
SN 1: 407w 7383c SN 2: 347w 6009c SN 3: 325w 5492c SN 4: 4w 5c SN 5: 10w 31c Time: 62.7999s s 349 3176 1727 442 2290 |
SN 1: 497w 9438c SN 2: 1146w 28402c SN 3: 672w 14335c SN 4: 102w 1110c SN 5: 63w 537c Time: 180.27s t 188 343 583 41 51 |
SN 1: 901w 20732c SN 2: 5218w 191978c SN 3: 3518w 116979c SN 4: 3540w 117849c SN 5: 4268w 148105c Time: 181.277s t 349 3176 1727 442 2290 |
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SN 1: 901w 20732c SN 2: 5218w 191978c SN 3: 3518w 116979c SN 4: 3540w 117849c SN 5: 4268w 148105c Time: 181.233s t 241 696 696 109 240 |
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rand439.cudf |
rand375.cudf | Time: 180.102s t |
Time: 18.021s b 24 269 269 25 0 |
Time: 180.096s t |
Time: 15.2745s s 24 269 269 26 0 |
Time: 180.044s t |
Time: 180.789s t |
SN 1: 262w 15649c SN 2: 721w 169038c SN 3: 569w 139402c SN 4: 67w 870c SN 5: 48w 422c Time: 180.417s t 155 2161 1029 429 1774 |
SN 1: 194w 2707c SN 2: 582w 11829c SN 3: 522w 10085c SN 4: 37w 255c SN 5: 3w 3c Time: 180.271s t 332 481 104 25 0 |
SN 1: 210w 3023c SN 2: 706w 15277c SN 3: 522w 10085c SN 4: 48w 367c SN 5: 17w 74c Time: 180.199s t 155 2161 1029 429 1774 |
SN 1: 194w 2707c SN 2: 582w 11829c SN 3: 522w 10085c SN 4: 37w 255c SN 5: 3w 3c Time: 180.142s t 332 481 104 25 0 |
Time: 123.042s w |
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rand375.cudf |
rand790.cudf | Time: 180.119s t |
Time: 31.8532s b 382 478 475 63 62 |
Time: 180.107s t |
Time: 35.0075s b 382 478 475 63 62 |
Time: 180.07s t |
Time: 181.879s t |
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SN 1: 460w 8605c SN 2: 609w 12584c SN 3: 199w 2813c SN 4: 3w 3c SN 5: 12w 41c Time: 180.259s t 534 3159 1563 441 2305 |
SN 1: 311w 5177c SN 2: 1373w 36075c SN 3: 762w 16785c SN 4: 413w 7518c SN 5: 671w 14320c Time: 39.8973s b 382 478 475 63 62 |
SN 1: 461w 8632c SN 2: 537w 10544c SN 3: 154w 1989c SN 4: 3w 3c SN 5: 13w 48c Time: 28.7059s s 534 3159 1563 441 2305 |
SN 1: 350w 6066c SN 2: 1369w 35952c SN 3: 874w 20019c SN 4: 427w 7855c SN 5: 722w 15749c Time: 61.0104s b 382 478 475 63 62 |
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rand790.cudf |
rand598.cudf | Time: 180.165s t |
Time: 57.6848s b 120 447 447 46 48 |
Time: 180.026s t |
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SN 1: 494w 9376c SN 2: 1099w 26851c SN 3: 751w 16513c SN 4: 87w 894c SN 5: 37w 255c Time: 180.149s t 111 237 671 47 51 |
Time: 75.458s w |
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SN 1: 850w 19351c SN 2: 3887w 131590c SN 3: 2674w 83707c SN 4: 2245w 66717c SN 5: 2937w 93957c Time: 180.88s t 220 2456 1445 554 1855 |
rand598.cudf |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf | Time: 180.131s t |
Time: 21.3642s b 79 219 219 61 8 |
Time: 180.091s t |
Time: 13.2818s b 79 219 219 61 8 |
Time: 180.016s t |
Time: 180.608s t |
SN 1: 296w 32846c SN 2: 746w 169279c SN 3: 405w 81810c SN 4: 92w 3426c SN 5: 26w 289c Time: 180.962s t 183 1597 809 313 977 |
SN 1: 253w 3804c SN 2: 657w 13928c SN 3: 415w 7555c SN 4: 99w 1064c SN 5: 25w 138c Time: 180.217s t 50 102 352 57 22 |
SN 1: 329w 5591c SN 2: 849w 19319c SN 3: 507w 9651c SN 4: 134w 1609c SN 5: 182w 2503c Time: 180.197s t 183 1597 809 313 977 |
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Time: 99.8528s w |
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e381ba7e-a192-11e0-8647-00163e1e087d.cudf |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf | Time: 27.9881s b 0 402 403 78 0 |
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Time: 137.275s w |
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0207e19a-9b1c-11df-af69-00163e46d37a.cudf |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf | Time: 9.68676s s 0 239 238 35 0 |
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Time: 79.8175s w |
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caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf | Time: 9.57347s b 0 166 166 32 0 |
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f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf |
rand692.cudf | Time: 44.7274s b 94 140 139 16 4 |
Time: 5.08893s b 94 140 139 16 4 |
Time: 180.105s t |
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Time: 180.108s t |
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rand692.cudf |
rand740.cudf | Time: 180.124s t |
Time: 18.7896s s 24 269 269 26 0 |
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rand740.cudf |
rand434.cudf | Time: 37.099s b 40 144 143 20 64 |
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rand434.cudf |
c2164c84-b015-11df-8b50-00163e46d37a.cudf | Time: 3.82449s b 0 19 19 19 12 |
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SN 1: 776w 17179c SN 2: 1858w 52286c SN 3: 476w 8969c SN 4: 908w 20949c Time: 8.51665s b 48 90 0 89 42 |
SN 1: 776w 17179c SN 2: 1858w 52286c SN 3: 476w 8969c SN 4: 908w 20949c Time: 14.9472s b 48 90 0 89 42 |
SN 1: 776w 17179c SN 2: 1858w 52286c SN 3: 476w 8969c SN 4: 908w 20949c Time: 1.21163s b 48 90 0 89 42 |
rand298.cudf |
rand519.cudf | Time: 180.159s t |
Time: 156.391s b 282 459 458 72 58 |
Time: 180.105s t |
Time: 78.7829s b 282 459 458 72 58 |
Time: 180.038s t |
Time: 181.875s t |
SN 1: 702w 150371c SN 2: 2205w 504840c SN 3: 837w 190019c SN 4: 383w 15371c SN 5: 670w 24165c Time: 182.435s t 234 3713 2188 532 2847 |
SN 1: 470w 8842c SN 2: 1271w 32557c SN 3: 536w 10507c SN 4: 145w 1818c SN 5: 161w 2107c Time: 180.28s t 292 652 404 33 114 |
SN 1: 436w 8053c SN 2: 699w 15103c SN 3: 254w 3817c SN 4: 3w 3c SN 5: 18w 82c Time: 180.246s t 234 3713 2188 532 2847 |
SN 1: 470w 8842c SN 2: 1271w 32557c SN 3: 536w 10507c SN 4: 145w 1818c SN 5: 161w 2107c Time: 180.252s t 292 652 404 33 114 |
Time: 119.616s w |
SN 1: 470w 8842c SN 2: 1271w 32557c SN 3: 536w 10507c SN 4: 145w 1818c SN 5: 161w 2107c Time: 180.266s t 292 652 404 33 114 |
SN 1: 902w 20763c SN 2: 5343w 197847c SN 3: 3698w 124155c SN 4: 3806w 128399c SN 5: 4393w 154021c Time: 181.115s t 234 3713 2188 532 2847 |
SN 1: 902w 20763c SN 2: 5343w 197847c SN 3: 3698w 124155c SN 4: 3806w 128399c SN 5: 4393w 154021c Time: 181.28s t 299 408 569 73 67 |
SN 1: 902w 20763c SN 2: 5343w 197847c SN 3: 3698w 124155c SN 4: 3806w 128399c SN 5: 4393w 154021c Time: 181.323s t 310 547 539 92 138 |
SN 1: 902w 20763c SN 2: 5343w 197847c SN 3: 3698w 124155c SN 4: 3806w 128399c SN 5: 4393w 154021c Time: 181.487s t 234 3713 2188 532 2847 |
rand519.cudf |
rand600.cudf | Time: 2.61337s b 171 208 0 86 37 |
Time: 0.554844s b 171 208 0 86 37 |
Time: 0.190585s w |
Time: 0.490386s b 171 208 0 86 37 |
Time: 3.82647s b 171 208 0 86 37 |
Time: 2.68349s b 171 208 0 86 37 |
SN 1: 224w 24976c SN 2: 323w 42538c SN 3: 86w 3655c SN 4: 41w 725c Time: 0.895856s b 171 208 0 86 37 |
SN 1: 58w 485c SN 2: 122w 1720c SN 3: 85w 933c SN 4: 14w 61c Time: 0.468718s b 171 208 0 86 37 |
SN 1: 229w 3377c SN 2: 325w 5492c SN 3: 88w 903c SN 4: 43w 321c Time: 8.32068s b 171 208 0 86 37 |
SN 1: 59w 497c SN 2: 140w 1725c SN 3: 86w 880c SN 4: 28w 161c Time: 0.555574s b 171 208 0 86 37 |
SN 1: 229w 3377c SN 2: 358w 6256c SN 3: 96w 1007c SN 4: 53w 431c Time: 6.91623s b 171 208 0 86 37 |
SN 1: 58w 485c SN 2: 140w 1725c SN 3: 85w 867c SN 4: 27w 155c Time: 0.588596s b 171 208 0 86 37 |
SN 1: 869w 19880c SN 2: 1862w 52446c SN 3: 506w 9630c SN 4: 912w 21055c Time: 11.4554s b 171 208 0 86 37 |
SN 1: 869w 19880c SN 2: 1862w 52446c SN 3: 506w 9630c SN 4: 912w 21055c Time: 10.4783s b 171 208 0 86 37 |
SN 1: 869w 19880c SN 2: 1862w 52446c SN 3: 506w 9630c SN 4: 912w 21055c Time: 13.1817s b 171 208 0 86 37 |
SN 1: 869w 19880c SN 2: 1862w 52446c SN 3: 506w 9630c SN 4: 912w 21055c Time: 1.81836s b 171 208 0 86 37 |
rand600.cudf |
rand208.cudf | Time: 180.183s t |
Time: 89.7646s b 124 497 497 100 143 |
Time: 180.026s t |
Time: 62.6892s b 124 497 497 100 143 |
Time: 180.112s t |
Time: 180.474s t |
SN 1: 633w 151320c SN 2: 2658w 717282c SN 3: 960w 315993c SN 4: 474w 24774c SN 5: 1197w 58352c Time: 182.959s t 402 3452 1849 476 2658 |
SN 1: 474w 8930c SN 2: 1447w 38526c SN 3: 637w 13327c SN 4: 125w 1441c SN 5: 233w 3452c Time: 180.411s t 176 522 529 46 174 |
SN 1: 400w 7199c SN 2: 887w 20355c SN 3: 378w 6686c SN 4: 9w 26c SN 5: 43w 321c Time: 180.376s t 402 3452 1849 476 2658 |
SN 1: 474w 8930c SN 2: 1447w 38526c SN 3: 637w 13327c SN 4: 125w 1441c SN 5: 233w 3452c Time: 180.217s t 176 522 529 46 174 |
SN 1: 312w 5191c SN 2: 543w 10703c SN 3: 195w 2731c SN 4: 3w 3c SN 5: 41w 298c Time: 53.1691s s 402 3452 1849 476 2658 |
SN 1: 474w 8930c SN 2: 1447w 38526c SN 3: 637w 13327c SN 4: 125w 1441c SN 5: 233w 3452c Time: 180.313s t 176 522 529 46 174 |
SN 1: 877w 20099c SN 2: 5336w 197559c SN 3: 3592w 119715c SN 4: 3615w 120741c SN 5: 4386w 153648c Time: 180.976s t 402 3452 1849 476 2658 |
SN 1: 877w 20099c SN 2: 5336w 197559c SN 3: 3592w 119715c SN 4: 3615w 120741c SN 5: 4386w 153648c Time: 181.187s t 106 329 761 103 158 |
SN 1: 877w 20099c SN 2: 5336w 197559c SN 3: 3592w 119715c SN 4: 3615w 120741c SN 5: 4386w 153648c Time: 181.179s t 289 695 626 105 284 |
SN 1: 877w 20099c SN 2: 5336w 197559c SN 3: 3592w 119715c SN 4: 3615w 120741c SN 5: 4386w 153648c Time: 181.382s t 402 3452 1849 476 2658 |
rand208.cudf |
rand796.cudf | Time: 180.127s t |
Time: 19.8463s s 24 269 269 26 0 |
Time: 180.121s t |
Time: 14.7435s b 25 269 269 25 0 |
Time: 180.05s t |
Time: 180.811s t |
SN 1: 182w 14768c SN 2: 596w 162677c SN 3: 525w 137550c SN 4: 38w 507c SN 5: 6w 14c Time: 180.901s t 166 1736 1167 369 1420 |
SN 1: 195w 2731c SN 2: 579w 11732c SN 3: 525w 10180c SN 4: 35w 232c SN 5: 3w 3c Time: 180.213s t 14 43 502 18 3 |
SN 1: 237w 3526c SN 2: 721w 15718c SN 3: 527w 10235c SN 4: 63w 537c SN 5: 18w 82c Time: 180.227s t 166 1736 1167 369 1420 |
SN 1: 195w 2731c SN 2: 579w 11732c SN 3: 525w 10180c SN 4: 35w 232c SN 5: 3w 3c Time: 180.146s t 14 43 502 18 3 |
Time: 93.618s w |
SN 1: 195w 2731c SN 2: 579w 11732c SN 3: 525w 10180c SN 4: 35w 232c SN 5: 3w 3c Time: 180.148s t 14 43 502 18 3 |
SN 1: 550w 10927c SN 2: 3426w 113445c SN 3: 2126w 61883c SN 4: 1760w 48975c SN 5: 2790w 88259c Time: 180.788s t 166 1736 1167 369 1420 |
SN 1: 550w 10927c SN 2: 3426w 113445c SN 3: 2126w 61883c SN 4: 1760w 48975c SN 5: 2790w 88259c Time: 180.766s t 2 5 535 29 1 |
SN 1: 550w 10927c SN 2: 3426w 113445c SN 3: 2126w 61883c SN 4: 1760w 48975c SN 5: 2790w 88259c Time: 180.659s t 57 87 468 44 3 |
SN 1: 550w 10927c SN 2: 3426w 113445c SN 3: 2126w 61883c SN 4: 1760w 48975c SN 5: 2790w 88259c Time: 180.803s t 166 1736 1167 369 1420 |
rand796.cudf |
rand21.cudf | Time: 180.177s t |
Time: 40.8413s b 24 1012 1012 24 5 |
Time: 180.033s t |
Time: 35.5397s b 24 1012 1012 24 5 |
Time: 180.047s t |
Time: 180.496s t |
SN 1: 467w 103975c SN 2: 1291w 807873c SN 3: 1253w 784378c SN 4: 5w 10c SN 5: 3w 3c Time: 183.197s t 847 2659 1720 651 1012 |
SN 1: 691w 14898c SN 2: 2042w 58244c SN 3: 1924w 54449c SN 4: 40w 283c SN 5: 12w 41c Time: 180.34s t 48 205 1841 16 16 |
SN 1: 315w 5262c SN 2: 755w 16620c SN 3: 706w 15277c SN 4: 3w 3c SN 5: 3w 3c Time: 180.237s t 847 2659 1720 651 1012 |
SN 1: 691w 14898c SN 2: 2042w 58244c SN 3: 1924w 54449c SN 4: 40w 283c SN 5: 12w 41c Time: 180.277s t 48 205 1841 16 16 |
Time: 129.224s w |
SN 1: 691w 14898c SN 2: 2042w 58244c SN 3: 1924w 54449c SN 4: 40w 283c SN 5: 12w 41c Time: 180.317s t 48 205 1841 16 16 |
SN 1: 2730w 85983c SN 2: 4682w 167452c SN 3: 3064w 98611c SN 4: 3176w 103395c SN 5: 1790w 49886c Time: 180.813s t 847 2659 1720 651 1012 |
SN 1: 2730w 85983c SN 2: 4682w 167452c SN 3: 3064w 98611c SN 4: 3176w 103395c SN 5: 1790w 49886c Time: 180.81s t 847 2659 1720 651 1012 |
SN 1: 2730w 85983c SN 2: 4682w 167452c SN 3: 3064w 98611c SN 4: 3176w 103395c SN 5: 1790w 49886c Time: 181.077s t 52 66 1969 31 5 |
SN 1: 2730w 85983c SN 2: 4682w 167452c SN 3: 3064w 98611c SN 4: 3176w 103395c SN 5: 1790w 49886c Time: 180.938s t 847 2659 1720 651 1012 |
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.