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Feb 24th, 2014
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  1. Thu Feb 20 10:12:58 2014
  2. Thu Feb 20 10:12:58 2014 commencing relation filtering
  3. Thu Feb 20 10:12:58 2014 setting target matrix density to 112.0
  4. Thu Feb 20 10:12:58 2014 estimated available RAM is 16009.0 MB
  5. Thu Feb 20 10:12:58 2014 commencing duplicate removal, pass 1
  6. Thu Feb 20 10:13:36 2014 error -9 reading relation 3483988
  7. ... 58000 more errors
  8. Thu Feb 20 10:33:06 2014 error -9 reading relation 112157938
  9. Thu Feb 20 10:33:46 2014 skipped 428 relations with b > 2^32
  10. Thu Feb 20 10:33:46 2014 found 24578703 hash collisions in 115958262 relations
  11. Thu Feb 20 10:34:03 2014 added 1217636 free relations
  12. Thu Feb 20 10:34:03 2014 commencing duplicate removal, pass 2
  13. Thu Feb 20 10:40:55 2014 found 25027631 duplicates and 92148267 unique relations
  14. Thu Feb 20 10:40:55 2014 memory use: 660.8 MB
  15. Thu Feb 20 10:40:55 2014 reading ideals above 89980928
  16. Thu Feb 20 10:40:55 2014 commencing singleton removal, initial pass
  17. Thu Feb 20 11:00:32 2014 memory use: 1506.0 MB
  18. Thu Feb 20 11:00:33 2014 reading all ideals from disk
  19. Thu Feb 20 11:00:49 2014 memory use: 1672.1 MB
  20. Thu Feb 20 11:00:53 2014 commencing in-memory singleton removal
  21. Thu Feb 20 11:00:56 2014 begin with 92148267 relations and 80187106 unique ideals
  22. Thu Feb 20 11:01:32 2014 reduce to 55759794 relations and 39720921 ideals in 14 passes
  23. Thu Feb 20 11:01:32 2014 max relations containing the same ideal: 32
  24. Thu Feb 20 11:01:35 2014 reading ideals above 720000
  25. Thu Feb 20 11:01:35 2014 commencing singleton removal, initial pass
  26. Thu Feb 20 11:17:51 2014 memory use: 1378.0 MB
  27. Thu Feb 20 11:17:52 2014 reading all ideals from disk
  28. Thu Feb 20 11:18:16 2014 memory use: 2145.4 MB
  29. Thu Feb 20 11:18:22 2014 keeping 49859346 ideals with weight <= 200, target excess is 290314
  30. Thu Feb 20 11:18:29 2014 commencing in-memory singleton removal
  31. Thu Feb 20 11:18:34 2014 begin with 55759794 relations and 49859346 unique ideals
  32. Thu Feb 20 11:19:24 2014 reduce to 55756865 relations and 49856417 ideals in 10 passes
  33. Thu Feb 20 11:19:24 2014 max relations containing the same ideal: 200
  34. Thu Feb 20 11:19:50 2014 removing 5960560 relations and 4960560 ideals in 1000000 cliques
  35. Thu Feb 20 11:19:52 2014 commencing in-memory singleton removal
  36. Thu Feb 20 11:19:56 2014 begin with 49796305 relations and 49856417 unique ideals
  37. Thu Feb 20 11:20:36 2014 reduce to 49299681 relations and 44387881 ideals in 9 passes
  38. Thu Feb 20 11:20:36 2014 max relations containing the same ideal: 193
  39. Thu Feb 20 11:20:58 2014 removing 4574000 relations and 3574000 ideals in 1000000 cliques
  40. Thu Feb 20 11:21:00 2014 commencing in-memory singleton removal
  41. Thu Feb 20 11:21:04 2014 begin with 44725681 relations and 44387881 unique ideals
  42. Thu Feb 20 11:21:31 2014 reduce to 44401540 relations and 40483101 ideals in 7 passes
  43. Thu Feb 20 11:21:31 2014 max relations containing the same ideal: 182
  44. Thu Feb 20 11:21:51 2014 removing 4140096 relations and 3140096 ideals in 1000000 cliques
  45. Thu Feb 20 11:21:53 2014 commencing in-memory singleton removal
  46. Thu Feb 20 11:21:57 2014 begin with 40261444 relations and 40483101 unique ideals
  47. Thu Feb 20 11:22:26 2014 reduce to 39973688 relations and 37049179 ideals in 8 passes
  48. Thu Feb 20 11:22:26 2014 max relations containing the same ideal: 173
  49. Thu Feb 20 11:22:44 2014 removing 3911689 relations and 2911689 ideals in 1000000 cliques
  50. Thu Feb 20 11:22:46 2014 commencing in-memory singleton removal
  51. Thu Feb 20 11:22:49 2014 begin with 36061999 relations and 37049179 unique ideals
  52. Thu Feb 20 11:23:14 2014 reduce to 35780871 relations and 33850038 ideals in 8 passes
  53. Thu Feb 20 11:23:14 2014 max relations containing the same ideal: 161
  54. Thu Feb 20 11:23:31 2014 removing 3770895 relations and 2770895 ideals in 1000000 cliques
  55. Thu Feb 20 11:23:32 2014 commencing in-memory singleton removal
  56. Thu Feb 20 11:23:35 2014 begin with 32009976 relations and 33850038 unique ideals
  57. Thu Feb 20 11:23:57 2014 reduce to 31720845 relations and 30782970 ideals in 8 passes
  58. Thu Feb 20 11:23:57 2014 max relations containing the same ideal: 149
  59. Thu Feb 20 11:24:12 2014 removing 2442628 relations and 1841518 ideals in 601110 cliques
  60. Thu Feb 20 11:24:13 2014 commencing in-memory singleton removal
  61. Thu Feb 20 11:24:15 2014 begin with 29278217 relations and 30782970 unique ideals
  62. Thu Feb 20 11:24:35 2014 reduce to 29146498 relations and 28807547 ideals in 8 passes
  63. Thu Feb 20 11:24:35 2014 max relations containing the same ideal: 142
  64. Thu Feb 20 11:24:54 2014 relations with 0 large ideals: 11062
  65. Thu Feb 20 11:24:54 2014 relations with 1 large ideals: 1828
  66. Thu Feb 20 11:24:54 2014 relations with 2 large ideals: 21658
  67. Thu Feb 20 11:24:54 2014 relations with 3 large ideals: 196362
  68. Thu Feb 20 11:24:54 2014 relations with 4 large ideals: 1009244
  69. Thu Feb 20 11:24:54 2014 relations with 5 large ideals: 3140021
  70. Thu Feb 20 11:24:54 2014 relations with 6 large ideals: 6184724
  71. Thu Feb 20 11:24:54 2014 relations with 7+ large ideals: 18581599
  72. Thu Feb 20 11:24:54 2014 commencing 2-way merge
  73. Thu Feb 20 11:25:13 2014 reduce to 19699211 relation sets and 19360260 unique ideals
  74. Thu Feb 20 11:25:13 2014 commencing full merge
  75. Thu Feb 20 11:33:28 2014 memory use: 2560.4 MB
  76. Thu Feb 20 11:33:29 2014 found 9027027 cycles, need 9020460
  77. Thu Feb 20 11:33:32 2014 weight of 9020460 cycles is about 1010935080 (112.07/cycle)
  78. Thu Feb 20 11:33:32 2014 distribution of cycle lengths:
  79. Thu Feb 20 11:33:32 2014 1 relations: 419958
  80. Thu Feb 20 11:33:32 2014 2 relations: 626244
  81. Thu Feb 20 11:33:32 2014 3 relations: 730018
  82. Thu Feb 20 11:33:32 2014 4 relations: 741464
  83. Thu Feb 20 11:33:32 2014 5 relations: 733497
  84. Thu Feb 20 11:33:32 2014 6 relations: 702460
  85. Thu Feb 20 11:33:32 2014 7 relations: 664679
  86. Thu Feb 20 11:33:32 2014 8 relations: 617520
  87. Thu Feb 20 11:33:32 2014 9 relations: 568540
  88. Thu Feb 20 11:33:32 2014 10+ relations: 3216080
  89. Thu Feb 20 11:33:32 2014 heaviest cycle: 28 relations
  90. Thu Feb 20 11:33:34 2014 commencing cycle optimization
  91. Thu Feb 20 11:33:51 2014 start with 75111695 relations
  92. Thu Feb 20 11:36:48 2014 pruned 3311608 relations
  93. Thu Feb 20 11:36:48 2014 memory use: 1994.2 MB
  94. Thu Feb 20 11:36:48 2014 distribution of cycle lengths:
  95. Thu Feb 20 11:36:48 2014 1 relations: 419958
  96. Thu Feb 20 11:36:48 2014 2 relations: 642826
  97. Thu Feb 20 11:36:48 2014 3 relations: 763774
  98. Thu Feb 20 11:36:48 2014 4 relations: 772423
  99. Thu Feb 20 11:36:48 2014 5 relations: 769703
  100. Thu Feb 20 11:36:48 2014 6 relations: 733307
  101. Thu Feb 20 11:36:48 2014 7 relations: 693915
  102. Thu Feb 20 11:36:48 2014 8 relations: 640520
  103. Thu Feb 20 11:36:48 2014 9 relations: 586296
  104. Thu Feb 20 11:36:48 2014 10+ relations: 2997738
  105. Thu Feb 20 11:36:48 2014 heaviest cycle: 28 relations
  106. Thu Feb 20 11:37:03 2014 RelProcTime: 5045
  107. Thu Feb 20 11:37:03 2014
  108. Thu Feb 20 11:37:03 2014 commencing linear algebra
  109. Thu Feb 20 11:37:07 2014 read 9020460 cycles
  110. Thu Feb 20 11:37:25 2014 cycles contain 28939964 unique relations
  111. Thu Feb 20 11:47:46 2014 read 28939964 relations
  112. Thu Feb 20 11:48:44 2014 using 20 quadratic characters above 1073739768
  113. Thu Feb 20 11:50:37 2014 building initial matrix
  114. Thu Feb 20 11:56:38 2014 memory use: 3727.1 MB
  115. Thu Feb 20 11:57:28 2014 read 9020460 cycles
  116. Thu Feb 20 11:57:29 2014 matrix is 9020286 x 9020460 (3976.4 MB) with weight 1147066482 (127.16/col)
  117. Thu Feb 20 11:57:29 2014 sparse part has weight 952183050 (105.56/col)
  118. Thu Feb 20 11:59:17 2014 filtering completed in 2 passes
  119. Thu Feb 20 11:59:19 2014 matrix is 9020226 x 9020400 (3976.4 MB) with weight 1147064588 (127.16/col)
  120. Thu Feb 20 11:59:19 2014 sparse part has weight 952182504 (105.56/col)
  121. Thu Feb 20 12:00:57 2014 matrix starts at (0, 0)
  122. Thu Feb 20 12:00:58 2014 matrix is 9020226 x 9020400 (3976.4 MB) with weight 1147064588 (127.16/col)
  123. Thu Feb 20 12:00:58 2014 sparse part has weight 952182504 (105.56/col)
  124. Thu Feb 20 12:00:58 2014 saving the first 48 matrix rows for later
  125. Thu Feb 20 12:01:00 2014 matrix includes 64 packed rows
  126. Thu Feb 20 12:01:01 2014 matrix is 9020178 x 9020400 (3810.5 MB) with weight 977560675 (108.37/col)
  127. Thu Feb 20 12:01:01 2014 sparse part has weight 908705534 (100.74/col)
  128. Thu Feb 20 12:01:02 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  129. Thu Feb 20 12:01:40 2014 commencing Lanczos iteration (4 threads)
  130. Thu Feb 20 12:01:40 2014 memory use: 3214.8 MB
  131. Thu Feb 20 12:02:36 2014 linear algebra at 0.0%, ETA 89h10m
  132. Thu Feb 20 12:02:54 2014 checkpointing every 110000 dimensions
  133. Mon Feb 24 05:56:21 2014 lanczos halted after 142641 iterations (dim = 9020172)
  134. Mon Feb 24 05:56:29 2014 recovered 38 nontrivial dependencies
  135. Mon Feb 24 05:56:30 2014 BLanczosTime: 325167
  136. Mon Feb 24 05:56:30 2014
  137. Mon Feb 24 05:56:30 2014 commencing square root phase
  138. Mon Feb 24 05:56:30 2014 handling dependencies 1 to 64
  139. Mon Feb 24 05:56:30 2014 reading relations for dependency 1
  140. Mon Feb 24 05:56:34 2014 read 4509514 cycles
  141. Mon Feb 24 05:56:42 2014 cycles contain 14467982 unique relations
  142. Mon Feb 24 06:08:37 2014 read 14467982 relations
  143. Mon Feb 24 06:09:40 2014 multiplying 14467982 relations
  144. Mon Feb 24 06:23:09 2014 multiply complete, coefficients have about 500.53 million bits
  145. Mon Feb 24 06:23:11 2014 initial square root is modulo 957424387
  146. Mon Feb 24 06:38:24 2014 sqrtTime: 2514
  147. Mon Feb 24 06:38:24 2014 prp65 factor: 14198581372780559361298881324341243632487515607631810135943939711
  148. Mon Feb 24 06:38:24 2014 prp113 factor: 98044219316434010330311264237664197011511274436894672700768724559671562464495191860992245914432914109657107625823
  149. Mon Feb 24 06:38:24 2014 elapsed time 92:25:27
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