20200902, 23:36  #122  
Apr 2020
2×3^{3}×19 Posts 
Quote:
Code:
########################################################################### # Polynomial selection ########################################################################### tasks.polyselect.degree = 5 tasks.polyselect.P = 2500000 tasks.polyselect.admin = 10080 tasks.polyselect.admax = 22e5 tasks.polyselect.adrange = 1680 tasks.polyselect.incr = 210 tasks.polyselect.nq = 15625 tasks.polyselect.nrkeep = 96 tasks.polyselect.ropteffort = 35 ########################################################################### # Sieve ########################################################################### tasks.I = 15 tasks.qmin = 20000000 tasks.lim0 = 95000000 tasks.lim1 = 135000000 tasks.lpb0 = 31 tasks.lpb1 = 32 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 90 tasks.sieve.lambda0 = 2.07 # tasks.sieve.lambda1 = 3.01 ?? would match what we've done with lambda0 tasks.sieve.ncurves0 = 20 tasks.sieve.ncurves1 = 13 tasks.sieve.rels_wanted = 300000000 # for a single machine; I've been aiming for around 320M tasks.sieve.qrange = 5000 The lims probably aren't optimal either. Optimising them would probably require running the same number lots of times  easy enough at c120, but a bit of an issue at c180... Quote:
Code:
tasks.I = 15 tasks.qmin = 30000000 tasks.lim0 = 125000000 tasks.lim1 = 175000000 tasks.lpb0 = 31 tasks.lpb1 = 32 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 90 tasks.sieve.lambda0 = 2.07 tasks.sieve.ncurves0 = 20 tasks.sieve.ncurves1 = 13 Last fiddled with by charybdis on 20200902 at 23:40 

20200912, 18:53  #123 
Apr 2020
2×3^{3}×19 Posts 
First successful attempt at a matrix for the c184 from 4+3_466:
Code:
Sat Sep 12 17:35:10 2020 Msieve v. 1.54 (SVN 1030M) Sat Sep 12 17:35:10 2020 random seeds: 24ad7ccb b689eb64 Sat Sep 12 17:35:10 2020 factoring 1288420870966541327457423401697563128187770527956826832585494726405215165841980470637608224215821394194152554733348168114523551339058369701611634537845108590062264466133701035309124657 (184 digits) Sat Sep 12 17:35:11 2020 searching for 15digit factors Sat Sep 12 17:35:11 2020 commencing number field sieve (184digit input) Sat Sep 12 17:35:11 2020 R0: 400690796617504803266434417211713435 Sat Sep 12 17:35:11 2020 R1: 17433125019345016821281 Sat Sep 12 17:35:11 2020 A0: 974638980914360897045449737219395727892611072 Sat Sep 12 17:35:11 2020 A1: 4219797827063945184925953662650167666 Sat Sep 12 17:35:11 2020 A2: 494543283474842279204870729055 Sat Sep 12 17:35:11 2020 A3: 10129443552045375616276 Sat Sep 12 17:35:11 2020 A4: 34163940584578 Sat Sep 12 17:35:11 2020 A5: 124740 Sat Sep 12 17:35:11 2020 skew 101124293.72, size 6.600e18, alpha 7.549, combined = 5.544e14 rroots = 3 Sat Sep 12 17:35:11 2020 Sat Sep 12 17:35:11 2020 commencing relation filtering Sat Sep 12 17:35:11 2020 setting target matrix density to 100.0 Sat Sep 12 17:35:11 2020 estimated available RAM is 15845.8 MB Sat Sep 12 17:35:11 2020 commencing duplicate removal, pass 1 Sat Sep 12 18:05:22 2020 found 83600412 hash collisions in 300946431 relations Sat Sep 12 18:05:43 2020 commencing duplicate removal, pass 2 Sat Sep 12 18:11:32 2020 found 98891655 duplicates and 202054776 unique relations Sat Sep 12 18:11:32 2020 memory use: 2387.0 MB Sat Sep 12 18:11:33 2020 reading ideals above 183959552 Sat Sep 12 18:11:33 2020 commencing singleton removal, initial pass Sat Sep 12 18:27:10 2020 memory use: 5512.0 MB Sat Sep 12 18:27:11 2020 reading all ideals from disk Sat Sep 12 18:27:32 2020 memory use: 3530.8 MB Sat Sep 12 18:27:37 2020 commencing inmemory singleton removal Sat Sep 12 18:27:42 2020 begin with 202054776 relations and 195951001 unique ideals Sat Sep 12 18:28:34 2020 reduce to 91808076 relations and 69726710 ideals in 18 passes Sat Sep 12 18:28:34 2020 max relations containing the same ideal: 30 Sat Sep 12 18:28:40 2020 reading ideals above 720000 Sat Sep 12 18:28:40 2020 commencing singleton removal, initial pass Sat Sep 12 18:40:14 2020 memory use: 2756.0 MB Sat Sep 12 18:40:14 2020 reading all ideals from disk Sat Sep 12 18:40:38 2020 memory use: 3788.1 MB Sat Sep 12 18:40:45 2020 keeping 89701206 ideals with weight <= 200, target excess is 486271 Sat Sep 12 18:40:53 2020 commencing inmemory singleton removal Sat Sep 12 18:40:59 2020 begin with 91808076 relations and 89701206 unique ideals Sat Sep 12 18:42:20 2020 reduce to 91576225 relations and 89469280 ideals in 14 passes Sat Sep 12 18:42:20 2020 max relations containing the same ideal: 200 Sat Sep 12 18:42:54 2020 removing 4408357 relations and 4008357 ideals in 400000 cliques Sat Sep 12 18:42:56 2020 commencing inmemory singleton removal Sat Sep 12 18:43:02 2020 begin with 87167868 relations and 89469280 unique ideals Sat Sep 12 18:43:52 2020 reduce to 86998225 relations and 85290168 ideals in 9 passes Sat Sep 12 18:43:52 2020 max relations containing the same ideal: 199 Sat Sep 12 18:44:24 2020 removing 3296653 relations and 2896653 ideals in 400000 cliques Sat Sep 12 18:44:25 2020 commencing inmemory singleton removal Sat Sep 12 18:44:31 2020 begin with 83701572 relations and 85290168 unique ideals Sat Sep 12 18:45:14 2020 reduce to 83597784 relations and 82289128 ideals in 8 passes Sat Sep 12 18:45:14 2020 max relations containing the same ideal: 195 Sat Sep 12 18:45:45 2020 removing 2943680 relations and 2543680 ideals in 400000 cliques Sat Sep 12 18:45:46 2020 commencing inmemory singleton removal Sat Sep 12 18:45:51 2020 begin with 80654104 relations and 82289128 unique ideals Sat Sep 12 18:46:33 2020 reduce to 80566167 relations and 79657103 ideals in 8 passes Sat Sep 12 18:46:33 2020 max relations containing the same ideal: 192 Sat Sep 12 18:47:02 2020 removing 2416391 relations and 2071402 ideals in 344989 cliques Sat Sep 12 18:47:04 2020 commencing inmemory singleton removal Sat Sep 12 18:47:09 2020 begin with 78149776 relations and 79657103 unique ideals Sat Sep 12 18:47:49 2020 reduce to 78087981 relations and 77523656 ideals in 8 passes Sat Sep 12 18:47:49 2020 max relations containing the same ideal: 189 Sat Sep 12 18:48:28 2020 relations with 0 large ideals: 1755 Sat Sep 12 18:48:28 2020 relations with 1 large ideals: 1308 Sat Sep 12 18:48:28 2020 relations with 2 large ideals: 26394 Sat Sep 12 18:48:28 2020 relations with 3 large ideals: 279678 Sat Sep 12 18:48:28 2020 relations with 4 large ideals: 1664509 Sat Sep 12 18:48:28 2020 relations with 5 large ideals: 6065505 Sat Sep 12 18:48:28 2020 relations with 6 large ideals: 14102865 Sat Sep 12 18:48:28 2020 relations with 7+ large ideals: 55945967 Sat Sep 12 18:48:28 2020 commencing 2way merge Sat Sep 12 18:49:10 2020 reduce to 47771699 relation sets and 47207374 unique ideals Sat Sep 12 18:49:10 2020 commencing full merge Sat Sep 12 19:01:29 2020 memory use: 5643.5 MB Sat Sep 12 19:01:33 2020 found 22554044 cycles, need 22541574 Sat Sep 12 19:01:39 2020 weight of 22541574 cycles is about 2254542524 (100.02/cycle) Sat Sep 12 19:01:39 2020 distribution of cycle lengths: Sat Sep 12 19:01:39 2020 1 relations: 2505630 Sat Sep 12 19:01:39 2020 2 relations: 2281308 Sat Sep 12 19:01:39 2020 3 relations: 2240340 Sat Sep 12 19:01:39 2020 4 relations: 2050168 Sat Sep 12 19:01:39 2020 5 relations: 1873938 Sat Sep 12 19:01:39 2020 6 relations: 1689463 Sat Sep 12 19:01:39 2020 7 relations: 1480064 Sat Sep 12 19:01:39 2020 8 relations: 1281871 Sat Sep 12 19:01:39 2020 9 relations: 1129919 Sat Sep 12 19:01:39 2020 10+ relations: 6008873 Sat Sep 12 19:01:39 2020 heaviest cycle: 28 relations Sat Sep 12 19:01:42 2020 commencing cycle optimization Sat Sep 12 19:02:11 2020 start with 157972026 relations Sat Sep 12 19:05:44 2020 pruned 4774693 relations Sat Sep 12 19:05:45 2020 memory use: 4817.7 MB Sat Sep 12 19:05:45 2020 distribution of cycle lengths: Sat Sep 12 19:05:45 2020 1 relations: 2505630 Sat Sep 12 19:05:45 2020 2 relations: 2342283 Sat Sep 12 19:05:45 2020 3 relations: 2330295 Sat Sep 12 19:05:45 2020 4 relations: 2110706 Sat Sep 12 19:05:45 2020 5 relations: 1931570 Sat Sep 12 19:05:45 2020 6 relations: 1721214 Sat Sep 12 19:05:45 2020 7 relations: 1502020 Sat Sep 12 19:05:45 2020 8 relations: 1291081 Sat Sep 12 19:05:45 2020 9 relations: 1129255 Sat Sep 12 19:05:45 2020 10+ relations: 5677520 Sat Sep 12 19:05:45 2020 heaviest cycle: 28 relations Sat Sep 12 19:06:23 2020 RelProcTime: 5472 Sat Sep 12 19:06:30 2020 Sat Sep 12 19:06:30 2020 commencing linear algebra Sat Sep 12 19:06:31 2020 read 22541574 cycles Sat Sep 12 19:07:06 2020 cycles contain 77557788 unique relations Sat Sep 12 19:14:45 2020 read 77557788 relations Sat Sep 12 19:16:28 2020 using 20 quadratic characters above 4294917295 Sat Sep 12 19:21:25 2020 building initial matrix Sat Sep 12 19:33:28 2020 memory use: 10853.9 MB Sat Sep 12 19:34:23 2020 read 22541574 cycles Sat Sep 12 19:34:26 2020 matrix is 22541397 x 22541574 (9232.7 MB) with weight 2833980271 (125.72/col) Sat Sep 12 19:34:26 2020 sparse part has weight 2149800401 (95.37/col) Sat Sep 12 19:37:38 2020 filtering completed in 2 passes Sat Sep 12 19:37:42 2020 matrix is 22540213 x 22540390 (9232.6 MB) with weight 2833930299 (125.73/col) Sat Sep 12 19:37:42 2020 sparse part has weight 2149790384 (95.38/col) Sat Sep 12 19:40:48 2020 matrix starts at (0, 0) Sat Sep 12 19:40:51 2020 matrix is 22540213 x 22540390 (9232.6 MB) with weight 2833930299 (125.73/col) Sat Sep 12 19:40:51 2020 sparse part has weight 2149790384 (95.38/col) Sat Sep 12 19:40:51 2020 saving the first 48 matrix rows for later Sat Sep 12 19:40:53 2020 matrix includes 64 packed rows Sat Sep 12 19:40:56 2020 matrix is 22540165 x 22540390 (9014.3 MB) with weight 2387432529 (105.92/col) Sat Sep 12 19:40:56 2020 sparse part has weight 2137643846 (94.84/col) Sat Sep 12 19:40:56 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB Sat Sep 12 19:42:01 2020 commencing Lanczos iteration (6 threads) Sat Sep 12 19:42:01 2020 memory use: 8657.6 MB Sat Sep 12 19:43:06 2020 linear algebra at 0.0%, ETA 255h42m Sat Sep 12 19:43:26 2020 checkpointing every 90000 dimensions It also looks like the higher lims give a bit of a speedup; I'll provide some more data once I have a more manageable matrix. 
20200913, 16:21  #124 
Apr 2020
2·3^{3}·19 Posts 
Sieving Q from 30M to 201M took 109.9M CPUseconds, and produced:
Code:
Sun Sep 13 13:55:54 2020 commencing relation filtering Sun Sep 13 13:55:54 2020 setting target matrix density to 110.0 Sun Sep 13 13:55:54 2020 estimated available RAM is 15845.8 MB Sun Sep 13 13:55:54 2020 commencing duplicate removal, pass 1 Sun Sep 13 14:28:58 2020 found 92069979 hash collisions in 327933354 relations Sun Sep 13 14:29:20 2020 commencing duplicate removal, pass 2 Sun Sep 13 14:35:46 2020 found 109446093 duplicates and 218487261 unique relations Sun Sep 13 14:35:46 2020 memory use: 2387.0 MB Sun Sep 13 14:35:46 2020 reading ideals above 200998912 Sun Sep 13 14:35:46 2020 commencing singleton removal, initial pass Sun Sep 13 14:52:41 2020 memory use: 5512.0 MB Sun Sep 13 14:52:42 2020 reading all ideals from disk Sun Sep 13 14:53:09 2020 memory use: 3752.4 MB Sun Sep 13 14:53:14 2020 commencing inmemory singleton removal Sun Sep 13 14:53:20 2020 begin with 218487261 relations and 200826425 unique ideals ... Sun Sep 13 16:09:52 2020 matrix is 18797898 x 18798123 (8118.4 MB) with weight 2166084557 (115.23/col) Sun Sep 13 16:09:52 2020 sparse part has weight 1940221126 (103.21/col) Sun Sep 13 16:09:52 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB Sun Sep 13 16:10:46 2020 commencing Lanczos iteration (6 threads) Sun Sep 13 16:10:46 2020 memory use: 7721.7 MB Sun Sep 13 16:11:38 2020 linear algebra at 0.0%, ETA 171h51m Taking into account the poly scores, speedup relative to the lower lims is about 5%. I'm going to do the c183 from 43_443 next, as Sean's testsieving showed that GNFS ought to be slightly faster than SNFS. I'll use lpb 32/32, mfb 60/90. 
20200924, 17:40  #125 
Apr 2020
2×3^{3}×19 Posts 
Decided to try an early filtering run to get an idea of how many relations would be needed to build a matrix, and unexpectedly found I already had enough:
Code:
Thu Sep 24 13:58:53 2020 Msieve v. 1.54 (SVN 1030M) Thu Sep 24 13:58:53 2020 random seeds: ef4162b7 451c1899 Thu Sep 24 13:58:53 2020 factoring 804578163904697763240436614199214815395940531796301633839037380172577453559153269748944116985171617459275488471139711654222671571416371470668646221173373030303086767051992380630291851 (183 digits) Thu Sep 24 13:58:54 2020 searching for 15digit factors Thu Sep 24 13:58:54 2020 commencing number field sieve (183digit input) Thu Sep 24 13:58:54 2020 R0: 271295764750414187331730229412933346 Thu Sep 24 13:58:54 2020 R1: 1815599719426695021034001 Thu Sep 24 13:58:54 2020 A0: 157759777296013619586250253003236919241978 Thu Sep 24 13:58:54 2020 A1: 208393498976386503111847358887987939 Thu Sep 24 13:58:54 2020 A2: 1903348446157907742464167536 Thu Sep 24 13:58:54 2020 A3: 28655357853458133620365 Thu Sep 24 13:58:54 2020 A4: 145343027262384 Thu Sep 24 13:58:54 2020 A5: 59126760 Thu Sep 24 13:58:54 2020 skew 5738604.63, size 5.111e18, alpha 6.698, combined = 4.768e14 rroots = 5 Thu Sep 24 13:58:54 2020 Thu Sep 24 13:58:54 2020 commencing relation filtering Thu Sep 24 13:58:54 2020 setting target matrix density to 100.0 Thu Sep 24 13:58:54 2020 estimated available RAM is 15845.8 MB Thu Sep 24 13:58:54 2020 commencing duplicate removal, pass 1 ... Thu Sep 24 14:37:47 2020 found 96535007 hash collisions in 371534711 relations Thu Sep 24 14:38:09 2020 added 121654 free relations Thu Sep 24 14:38:09 2020 commencing duplicate removal, pass 2 Thu Sep 24 14:46:01 2020 found 108284827 duplicates and 263371538 unique relations Thu Sep 24 14:46:01 2020 memory use: 2387.0 MB Thu Sep 24 14:46:01 2020 reading ideals above 186974208 Thu Sep 24 14:46:01 2020 commencing singleton removal, initial pass Thu Sep 24 15:06:32 2020 memory use: 6024.0 MB Thu Sep 24 15:06:32 2020 reading all ideals from disk Thu Sep 24 15:07:11 2020 memory use: 4787.5 MB Thu Sep 24 15:07:19 2020 commencing inmemory singleton removal Thu Sep 24 15:07:26 2020 begin with 263371538 relations and 255561661 unique ideals Thu Sep 24 15:08:37 2020 reduce to 123121291 relations and 95945973 ideals in 17 passes Thu Sep 24 15:08:37 2020 max relations containing the same ideal: 35 Thu Sep 24 15:08:46 2020 reading ideals above 720000 Thu Sep 24 15:08:46 2020 commencing singleton removal, initial pass Thu Sep 24 15:24:11 2020 memory use: 3012.0 MB Thu Sep 24 15:24:12 2020 reading all ideals from disk Thu Sep 24 15:24:56 2020 memory use: 5110.3 MB Thu Sep 24 15:25:06 2020 keeping 116085117 ideals with weight <= 200, target excess is 643178 Thu Sep 24 15:25:17 2020 commencing inmemory singleton removal Thu Sep 24 15:25:25 2020 begin with 123121291 relations and 116085117 unique ideals Thu Sep 24 15:27:04 2020 reduce to 123023063 relations and 115986878 ideals in 13 passes Thu Sep 24 15:27:04 2020 max relations containing the same ideal: 200 Thu Sep 24 15:27:50 2020 removing 8828550 relations and 7828550 ideals in 1000000 cliques Thu Sep 24 15:27:52 2020 commencing inmemory singleton removal Thu Sep 24 15:28:00 2020 begin with 114194513 relations and 115986878 unique ideals Thu Sep 24 15:29:18 2020 reduce to 113693675 relations and 107651902 ideals in 11 passes Thu Sep 24 15:29:18 2020 max relations containing the same ideal: 198 Thu Sep 24 15:30:00 2020 removing 6670193 relations and 5670193 ideals in 1000000 cliques Thu Sep 24 15:30:03 2020 commencing inmemory singleton removal Thu Sep 24 15:30:10 2020 begin with 107023482 relations and 107651902 unique ideals Thu Sep 24 15:31:10 2020 reduce to 106698207 relations and 101653297 ideals in 9 passes Thu Sep 24 15:31:10 2020 max relations containing the same ideal: 193 Thu Sep 24 15:31:49 2020 removing 6014282 relations and 5014282 ideals in 1000000 cliques Thu Sep 24 15:31:52 2020 commencing inmemory singleton removal Thu Sep 24 15:31:58 2020 begin with 100683925 relations and 101653297 unique ideals Thu Sep 24 15:32:55 2020 reduce to 100396164 relations and 96348603 ideals in 9 passes Thu Sep 24 15:32:55 2020 max relations containing the same ideal: 184 Thu Sep 24 15:33:33 2020 removing 5675031 relations and 4675031 ideals in 1000000 cliques Thu Sep 24 15:33:35 2020 commencing inmemory singleton removal Thu Sep 24 15:33:41 2020 begin with 94721133 relations and 96348603 unique ideals Thu Sep 24 15:34:28 2020 reduce to 94444992 relations and 91394891 ideals in 8 passes Thu Sep 24 15:34:28 2020 max relations containing the same ideal: 180 Thu Sep 24 15:35:03 2020 removing 5474215 relations and 4474215 ideals in 1000000 cliques Thu Sep 24 15:35:05 2020 commencing inmemory singleton removal Thu Sep 24 15:35:11 2020 begin with 88970777 relations and 91394891 unique ideals Thu Sep 24 15:36:01 2020 reduce to 88694416 relations and 86641692 ideals in 9 passes Thu Sep 24 15:36:01 2020 max relations containing the same ideal: 171 Thu Sep 24 15:36:35 2020 removing 5350364 relations and 4350365 ideals in 1000000 cliques Thu Sep 24 15:36:37 2020 commencing inmemory singleton removal Thu Sep 24 15:36:42 2020 begin with 83344052 relations and 86641692 unique ideals Thu Sep 24 15:37:28 2020 reduce to 83062640 relations and 82007106 ideals in 9 passes Thu Sep 24 15:37:28 2020 max relations containing the same ideal: 165 Thu Sep 24 15:37:59 2020 removing 2035095 relations and 1725648 ideals in 309447 cliques Thu Sep 24 15:38:01 2020 commencing inmemory singleton removal Thu Sep 24 15:38:06 2020 begin with 81027545 relations and 82007106 unique ideals Thu Sep 24 15:38:36 2020 reduce to 80987675 relations and 80241438 ideals in 6 passes Thu Sep 24 15:38:36 2020 max relations containing the same ideal: 163 Thu Sep 24 15:39:17 2020 relations with 0 large ideals: 2387 Thu Sep 24 15:39:17 2020 relations with 1 large ideals: 2644 Thu Sep 24 15:39:17 2020 relations with 2 large ideals: 48967 Thu Sep 24 15:39:17 2020 relations with 3 large ideals: 476525 Thu Sep 24 15:39:17 2020 relations with 4 large ideals: 2541197 Thu Sep 24 15:39:17 2020 relations with 5 large ideals: 8234652 Thu Sep 24 15:39:17 2020 relations with 6 large ideals: 16947934 Thu Sep 24 15:39:17 2020 relations with 7+ large ideals: 52733369 Thu Sep 24 15:39:17 2020 commencing 2way merge Thu Sep 24 15:40:00 2020 reduce to 49697082 relation sets and 48950844 unique ideals Thu Sep 24 15:40:00 2020 commencing full merge Thu Sep 24 15:51:57 2020 memory use: 5812.0 MB Thu Sep 24 15:52:01 2020 found 23504201 cycles, need 23427044 Thu Sep 24 15:52:07 2020 weight of 23427044 cycles is about 2342739929 (100.00/cycle) Thu Sep 24 15:52:07 2020 distribution of cycle lengths: Thu Sep 24 15:52:07 2020 1 relations: 2500861 Thu Sep 24 15:52:07 2020 2 relations: 2225344 Thu Sep 24 15:52:07 2020 3 relations: 2213648 Thu Sep 24 15:52:07 2020 4 relations: 2063640 Thu Sep 24 15:52:07 2020 5 relations: 1936571 Thu Sep 24 15:52:07 2020 6 relations: 1794380 Thu Sep 24 15:52:07 2020 7 relations: 1614061 Thu Sep 24 15:52:07 2020 8 relations: 1433750 Thu Sep 24 15:52:07 2020 9 relations: 1293116 Thu Sep 24 15:52:07 2020 10+ relations: 6351673 Thu Sep 24 15:52:07 2020 heaviest cycle: 27 relations Thu Sep 24 15:52:11 2020 commencing cycle optimization Thu Sep 24 15:52:40 2020 start with 162941027 relations Thu Sep 24 15:56:11 2020 pruned 4844744 relations Thu Sep 24 15:56:12 2020 memory use: 4991.4 MB Thu Sep 24 15:56:12 2020 distribution of cycle lengths: Thu Sep 24 15:56:12 2020 1 relations: 2500861 Thu Sep 24 15:56:12 2020 2 relations: 2281779 Thu Sep 24 15:56:12 2020 3 relations: 2297419 Thu Sep 24 15:56:12 2020 4 relations: 2125272 Thu Sep 24 15:56:12 2020 5 relations: 1998705 Thu Sep 24 15:56:12 2020 6 relations: 1832292 Thu Sep 24 15:56:12 2020 7 relations: 1647060 Thu Sep 24 15:56:12 2020 8 relations: 1454221 Thu Sep 24 15:56:12 2020 9 relations: 1305171 Thu Sep 24 15:56:12 2020 10+ relations: 5984264 Thu Sep 24 15:56:12 2020 heaviest cycle: 27 relations Thu Sep 24 15:56:51 2020 RelProcTime: 7077 Thu Sep 24 15:56:59 2020 Thu Sep 24 15:56:59 2020 commencing linear algebra Thu Sep 24 15:57:01 2020 read 23427044 cycles Thu Sep 24 15:57:36 2020 cycles contain 80452255 unique relations Thu Sep 24 16:06:39 2020 read 80452255 relations Thu Sep 24 16:08:27 2020 using 20 quadratic characters above 4294917295 Thu Sep 24 16:13:36 2020 building initial matrix Thu Sep 24 16:26:16 2020 memory use: 11291.7 MB Thu Sep 24 16:27:47 2020 read 23427044 cycles Thu Sep 24 16:27:50 2020 matrix is 23426866 x 23427044 (9592.6 MB) with weight 2929149922 (125.03/col) Thu Sep 24 16:27:50 2020 sparse part has weight 2233524910 (95.34/col) Thu Sep 24 16:31:09 2020 filtering completed in 2 passes Thu Sep 24 16:31:13 2020 matrix is 23423858 x 23424036 (9592.4 MB) with weight 2929033628 (125.04/col) Thu Sep 24 16:31:13 2020 sparse part has weight 2233502594 (95.35/col) Thu Sep 24 16:34:27 2020 matrix starts at (0, 0) Thu Sep 24 16:34:30 2020 matrix is 23423858 x 23424036 (9592.4 MB) with weight 2929033628 (125.04/col) Thu Sep 24 16:34:30 2020 sparse part has weight 2233502594 (95.35/col) Thu Sep 24 16:34:30 2020 saving the first 48 matrix rows for later Thu Sep 24 16:34:33 2020 matrix includes 64 packed rows Thu Sep 24 16:34:36 2020 matrix is 23423810 x 23424036 (9296.0 MB) with weight 2454035299 (104.77/col) Thu Sep 24 16:34:36 2020 sparse part has weight 2202649119 (94.03/col) Thu Sep 24 16:34:36 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB Thu Sep 24 16:35:39 2020 commencing Lanczos iteration (6 threads) Thu Sep 24 16:35:40 2020 memory use: 8970.1 MB Thu Sep 24 16:36:45 2020 linear algebra at 0.0%, ETA 265h12m Thu Sep 24 16:37:06 2020 checkpointing every 90000 dimensions I can't immediately see why raising the lpb on the rational side while sieving on the algebraic side ought to have anything to do with the duplication rate, but I'm not a number theorist so I'd appreciate it if someone could explain this. It's looking like 32/32 is a win at this size. As usual I'll have more details once I've got the matrix size down. 
20200924, 21:56  #126  
"Curtis"
Feb 2005
Riverside, CA
2·3^{2}·17·19 Posts 
Quote:
I'm afraid the tradeoff of faster sieving vs larger matrix gets worse if we go above 32LP; but I also believe 32/33 is fastest at C193 (I helped someone off the forum run ~10 jobs at that size, we did a bunch of work on parameters). On this job, I hope that tradeoff proves worth it. 

20200925, 17:22  #127  
Apr 2020
2·3^{3}·19 Posts 
110.4M CPUseconds of sieving, from 30M to 207M, gave:
Code:
Fri Sep 25 13:16:07 2020 commencing relation filtering Fri Sep 25 13:16:07 2020 setting target matrix density to 110.0 ... Fri Sep 25 13:59:11 2020 found 108139037 hash collisions in 408503325 relations Fri Sep 25 13:59:32 2020 commencing duplicate removal, pass 2 Fri Sep 25 14:08:03 2020 found 121841205 duplicates and 286662120 unique relations Fri Sep 25 14:08:03 2020 memory use: 2387.0 MB Fri Sep 25 14:08:04 2020 reading ideals above 207028224 Fri Sep 25 14:08:04 2020 commencing singleton removal, initial pass Fri Sep 25 14:30:25 2020 memory use: 6024.0 MB Fri Sep 25 14:30:26 2020 reading all ideals from disk Fri Sep 25 14:31:11 2020 memory use: 5114.7 MB Fri Sep 25 14:31:19 2020 commencing inmemory singleton removal Fri Sep 25 14:31:27 2020 begin with 286662120 relations and 262594881 unique ideals ... Fri Sep 25 16:00:53 2020 matrix is 19772369 x 19772594 (8473.1 MB) with weight 2251213167 (113.86/col) Fri Sep 25 16:00:53 2020 sparse part has weight 2023439071 (102.34/col) Fri Sep 25 16:00:53 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB Fri Sep 25 16:01:50 2020 commencing Lanczos iteration (6 threads) Fri Sep 25 16:01:50 2020 memory use: 8099.3 MB Fri Sep 25 16:02:44 2020 linear algebra at 0.0%, ETA 188h45m Quote:
If we assume that this poly is indeed ~13% worse than the c184 poly, then 32/32 is a clear win. But if the low duplication rate wasn't picked up by the poly score, then this might not be a fair comparison, so I think another run with identical parameters is in order. 

20201007, 01:47  #128 
Apr 2020
2·3^{3}·19 Posts 
c184 32/32 run: sieving 30M205M took 112M CPUseconds and gave
Code:
Tue Oct 6 23:43:20 2020 Msieve v. 1.54 (SVN 1030M) Tue Oct 6 23:43:20 2020 random seeds: 7a19fd23 910545fb Tue Oct 6 23:43:20 2020 factoring 1926769016895629095108654427662805571730828819453815038321063771589859906145101426691203081858286347255498278743308679252628417992530572751984914065156690326565318892677376743855798161 (184 digits) Tue Oct 6 23:43:20 2020 searching for 15digit factors Tue Oct 6 23:43:20 2020 commencing number field sieve (184digit input) Tue Oct 6 23:43:20 2020 R0: 232800310647131682476873772810105422 Tue Oct 6 23:43:20 2020 R1: 90317080737385565963549 Tue Oct 6 23:43:20 2020 A0: 2439943766309753461417671509774240145609855 Tue Oct 6 23:43:20 2020 A1: 3109448214836060753130916105182937413 Tue Oct 6 23:43:20 2020 A2: 51506391362834289409336135888 Tue Oct 6 23:43:20 2020 A3: 20569441357157925834233 Tue Oct 6 23:43:20 2020 A4: 80188144206473 Tue Oct 6 23:43:20 2020 A5: 2817780 Tue Oct 6 23:43:20 2020 skew 20877130.61, size 5.540e18, alpha 6.572, combined = 4.934e14 rroots = 5 Tue Oct 6 23:43:20 2020 Tue Oct 6 23:43:20 2020 commencing relation filtering Tue Oct 6 23:43:20 2020 setting target matrix density to 110.0 Tue Oct 6 23:43:20 2020 estimated available RAM is 15845.8 MB Tue Oct 6 23:43:20 2020 commencing duplicate removal, pass 1 Wed Oct 7 00:24:51 2020 found 114260066 hash collisions in 416382602 relations Wed Oct 7 00:25:13 2020 commencing duplicate removal, pass 2 Wed Oct 7 00:33:42 2020 found 132138239 duplicates and 284244363 unique relations Wed Oct 7 00:33:42 2020 memory use: 2387.0 MB Wed Oct 7 00:33:42 2020 reading ideals above 205193216 Wed Oct 7 00:33:42 2020 commencing singleton removal, initial pass Wed Oct 7 00:55:32 2020 memory use: 6024.0 MB Wed Oct 7 00:55:33 2020 reading all ideals from disk Wed Oct 7 00:56:13 2020 memory use: 5093.3 MB Wed Oct 7 00:56:21 2020 commencing inmemory singleton removal Wed Oct 7 00:56:29 2020 begin with 284244363 relations and 262016506 unique ideals ... Wed Oct 7 02:25:05 2020 matrix is 20333308 x 20333533 (8742.9 MB) with weight 2327221335 (114.45/col) Wed Oct 7 02:25:05 2020 sparse part has weight 2088575957 (102.72/col) Wed Oct 7 02:25:05 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB Wed Oct 7 02:26:04 2020 commencing Lanczos iteration (6 threads) Wed Oct 7 02:26:04 2020 memory use: 8351.8 MB Wed Oct 7 02:27:01 2020 linear algebra at 0.0%, ETA 204h37m I suppose there's a chance 32/32 is already better at c180, so I ought to test that at some point. For now, though, the mfb bounds could do with some experimentation. 
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