+ As a hobby, I like running large mathematical computations. My favorites
+ tend to be the mathematical computations that may appear to provide little
+ practical value, but there is a lot of value gained in learning about
+ methods to run and optimize large computations.
+
+ The 8 listed above were done on a Dell R720 with 2x Xeon E5-2697 v2
+ (24C/48T @ 2.7GHz), 16x 32GB PC3L-10600R RAM (total 512GB), and 8x 4TB
+ SATA HDDs.
+
+
+
+ Currently in progress is a computation of
+ 1 trillion digits of the Euler-Mascheroni constant.
+
+
+
+ For these large computations, I actually compute 50 extra digits to avoid
+ roundoff error if I do some calculations with the resulting output.
+
+ Normal numbers are those whose expansion in all bases has a uniform
+ distribution of each digit. Let \(b\) be a base. Then let \(X\) be a
+ random variable for counting a digit. \(X\) has a \(1/b\) probability of
+ being \(1\) and is \(0\) otherwise. This makes its mean \(\mu=1/b\) and
+ standard deviation
+ \[\sigma=\sqrt{\left({1\over b}\right)^2\cdot{b-1\over b}
+ +\left({b-1\over b}\right)^2\cdot{1\over b}}
+ =\sqrt{{b-1\over b^3}+{(b-1)^2\over b^3}}
+ =\sqrt{b^2-b\over b^3}={\sqrt{b-1}\over b}\]
+ This distribution describes a single digit and adding \(N\) of these random
+ variables describes how many occurrences of any digit we would expect to see
+ when computing \(N\) digits. The \(p\)-value can be computed by first
+ finding the test statistic, where \(M\) is the number of occurrences and
+ \(\bar{x}=M/N\) is the sample mean.
+ \[t={\bar{x}-\mu\over\sigma/\sqrt{N}}={M-N/b\over\sigma\sqrt{N}}\]
+ Then the \(p\)-value is (for the two-tailed test)
+ \[p=1-\text{erf}\left({|t|\over\sqrt{2}}\right)
+ =\text{erfc}\left({|t|\over\sqrt{2}}\right)\]
+ which describes the probability that we would see a value of \(\bar{x}\) at
+ least as extreme if \(X\) really has the mean \(\mu\) and standard
+ deviation \(\sigma\). In most practical uses of statistics, \(p>0.05\)
+ is considered good enough to infer statistical significance, but we have
+ to interpret the results carefully. The \(p\)-value may be interpreted as a
+ measure of the risk of rejecting the null hypothesis. In this case, the null
+ hypothesis is that the number is normal, having uniformrly distributed
+ digits. Very low \(p\)-values would suggest that the number is not normal.
+ Numerical evidence like this is of course not a proof. So far, there is no
+ proof that any of these common irrational constants are normal.
+
+One thing that can be done with trillions of digits is statistical analysis.
+Many common irrational numbers are conjectured to be normal, meaning their
+digits are uniformly distributed in every base. Using the y-cruncher output, we
+can perform statistical analysis on the decimal and hexadecimal digits.
+
+
+
+These tables are based on statistics of the first 1 million, 10 million, and so
+on digits of various real numbers computed to high precision. Each computed
+digit is treated like a sample and the random variable to compare to is a
+uniform distribution of the digits.
+
+
+
+P values are highlighted in red for below 1%,
+yellow for below 5%, and green
+otherwise. The presence of some low P values is expected when computing P values
+many times because they measure the probability of seeing a measurement at least
+as extreme.
+
+
+
+In each header, there is a hash value. These are the hash values y-cruncher
+computes, which comes from taking digits of the number as an integer and
+reducing it modulo 2^61-1, a Mersenne prime. For example, the first 1 million
+decimal digits after the decimal point in pi, taken as a base 10 integer,
+reduces to 847519092189756098, modulo 2^61-1. In hexadecimal, the digits should
+be taken as a hexadecimal integer. These hash values were output from the P
+value calculator program to make sure (with high probability) it computes
+statistics on the correct digits.
+
+
+
Pi (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
847519092189756098
1342684684644997977
853340962367853209
1129290375307446070
1047461673576228634
933863534577428190
821983049409748007
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
99959
0.891294
0
999440
0.554995
0
9999922
0.979257
0
99993942
0.523103
0
999967995
0.286047
0
10000104750
0.269523
0
99999485134
0.086122
+
1
99758
0.419859
1
999333
0.482006
1
10002475
0.409372
1
99997334
0.778694
1
1000037790
0.207790
1
9999937631
0.510906
1
99999945664
0.856273
+
2
100026
0.930936
2
1000306
0.747034
2
10001092
0.715858
2
100002410
0.799468
2
1000017271
0.564818
2
10000026432
0.780538
2
100000480057
0.109556
+
3
100229
0.445265
3
999964
0.969730
3
9998442
0.603528
3
99986911
0.167678
3
999976483
0.433099
3
9999912396
0.355785
3
99999787805
0.479370
+
4
100230
0.443280
4
1001093
0.249270
4
10003863
0.197862
4
100011958
0.207495
4
999937688
0.037795
4
10000032702
0.730313
4
100000357857
0.232926
+
5
100359
0.231437
5
1000466
0.623280
5
9993478
0.029705
5
99998885
0.906439
5
1000007928
0.791574
5
9999963661
0.701685
5
99999671008
0.272799
+
6
99548
0.131896
6
999337
0.484637
6
9999417
0.845915
6
100010387
0.273567
6
999985731
0.634336
6
9999824088
0.063700
6
99999807503
0.521096
+
7
99800
0.504985
7
1000207
0.827275
7
9999610
0.896566
7
99996061
0.677990
7
1000041330
0.168306
7
10000084530
0.372916
7
99999818723
0.545673
+
8
99985
0.960122
8
999814
0.844562
8
10002180
0.467430
8
100001839
0.846295
8
999991772
0.783880
8
10000157175
0.097566
8
100000791469
0.008334
+
9
100106
0.723839
9
1000040
0.966368
9
9999521
0.873144
9
100000273
0.977043
9
1000036012
0.229984
9
9999956635
0.647594
9
99999854780
0.628339
+
+
+
Pi (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
498128468367020972
269979704548545667
1881333777557266089
987739783923994387
867911209382615761
1410155165700074604
579126475479587628
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62522
0.927583
0
624597
0.598557
0
6250690
0.775605
0
62501979
0.795994
0
625011206
0.643407
0
6249979329
0.787126
0
51874871157
0.559054
+
1
62385
0.634726
1
624342
0.390005
1
6246592
0.159159
1
62498560
0.850782
1
624994420
0.817688
1
6249991124
0.907688
1
51875089161
0.685988
+
2
62644
0.551917
2
625896
0.241788
2
6255492
0.023278
2
62508519
0.265744
2
624984447
0.520534
2
6249917131
0.278988
2
51874777165
0.312275
+
3
62432
0.778771
3
623853
0.134020
3
6250592
0.806793
3
62514233
0.062972
3
624983935
0.506899
3
6250077541
0.311064
3
51875349119
0.113398
+
4
62235
0.273620
4
623635
0.074549
4
6246996
0.214603
4
62482731
0.024070
4
625014007
0.562822
4
6249925117
0.327942
4
51874867220
0.547108
+
5
62649
0.538194
5
625491
0.521237
5
6253329
0.169048
5
62501692
0.825060
5
625011152
0.645007
5
6250052283
0.494593
5
51875060941
0.782286
+
6
62545
0.852521
6
625489
0.522936
6
6251102
0.648925
6
62501242
0.871106
6
624989166
0.654462
6
6250025693
0.737133
6
51875070504
0.749192
+
7
62515
0.950589
7
625369
0.629764
7
6251231
0.611069
7
62504587
0.549011
7
625010556
0.662773
7
6249958503
0.587740
7
51874815105
0.401796
+
8
62459
0.865499
8
624959
0.957284
8
6249740
0.914463
8
62495786
0.581966
8
625047187
0.051250
8
6250044644
0.559741
8
51875274249
0.213647
+
9
62699
0.411017
9
624584
0.586813
9
6246654
0.166882
9
62494524
0.474373
9
624982085
0.459239
9
6249968714
0.682746
9
51875053960
0.806700
+
a
62070
0.075666
a
625563
0.462035
a
6248822
0.626504
a
62497832
0.777003
a
624987694
0.611185
a
6250055390
0.469304
a
51875187199
0.395956
+
b
62345
0.521956
b
625077
0.919874
b
6249493
0.834096
b
62489514
0.170723
b
624962532
0.121653
b
6250019064
0.803321
b
51874967447
0.882648
+
c
62621
0.617164
c
624618
0.617749
c
6250491
0.839259
c
62500734
0.923608
c
625010592
0.661695
c
6250006866
0.928528
c
51875083191
0.705999
+
d
62829
0.174096
d
626014
0.185276
d
6253342
0.167389
d
62504195
0.583670
d
625010529
0.663583
d
6249933819
0.387267
d
51874815132
0.401865
+
e
62415
0.725475
e
625462
0.546140
e
6248121
0.437602
e
62501388
0.856110
e
624987488
0.605230
e
6249989678
0.892734
e
51874780196
0.318903
+
f
62635
0.577043
f
625051
0.946879
f
6247313
0.266978
f
62502484
0.745553
f
625013004
0.591116
f
6250055104
0.471602
f
51874938254
0.779484
+
+
+
e (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
429874372355341578
5381409555245135
1694148922109324462
1959400710726657016
531768131672329868
1174378372379232139
2196705966280381788
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
99425
0.055280
0
998678
0.163466
0
9999138
0.773857
0
100004425
0.640903
0
1000024802
0.408388
0
9999958528
0.662000
0
100000379385
0.206009
+
1
100132
0.659937
1
1000577
0.543047
1
10004438
0.139051
1
99982926
0.071899
1
999989229
0.719570
1
10000035626
0.707266
1
100000393071
0.190116
+
2
99845
0.605389
2
999156
0.373652
2
9998876
0.707908
2
99999168
0.930115
2
999997938
0.945202
2
9999921168
0.405995
2
100000003394
0.990973
+
3
100228
0.447255
3
1001716
0.070479
3
10005176
0.084467
3
100002498
0.792310
3
999982936
0.569492
3
9999738110
0.005770
3
100000058645
0.845015
+
4
100389
0.194746
4
1000307
0.746236
4
9998285
0.567548
4
100018922
0.046092
4
1000026506
0.376948
4
10000225617
0.017397
4
100000013702
0.963571
+
5
100087
0.771816
5
999903
0.918561
5
9998042
0.513971
5
100003884
0.682239
5
999967300
0.275713
5
9999981482
0.845239
5
99999808185
0.522574
+
6
100479
0.110340
6
998869
0.233191
6
10000158
0.957997
6
99987241
0.178652
6
999931170
0.021771
6
9999872014
0.177308
6
99999441259
0.062537
+
7
99910
0.764177
7
1000813
0.391457
7
9998342
0.580492
7
99997536
0.795073
7
1000013049
0.663587
7
10000066742
0.481730
7
100000326136
0.276984
+
8
99814
0.535258
8
999703
0.754231
8
10000336
0.910823
8
100005348
0.572939
8
1000074277
0.013290
8
10000159952
0.091788
8
100000156164
0.602683
+
9
99691
0.303010
9
1000278
0.769493
9
9997209
0.352199
9
99998052
0.837309
9
999992793
0.810149
9
10000040761
0.667444
9
99999420059
0.053219
+
+
+
e (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
2085265759181308585
333917536853471878
872007474554615044
2073606659151287385
2161724429320330129
524760733994700199
996806169034635176
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62662
0.503335
0
625524
0.493627
0
6251971
0.415498
0
62502624
0.731750
0
625058205
0.016192
0
6250108428
0.156630
0
51874937135
0.775594
+
1
62280
0.363424
1
625417
0.585914
1
6257843
0.001195
1
62509363
0.221263
1
625009589
0.692002
1
6250097487
0.202818
1
51875088259
0.688998
+
2
62224
0.254200
2
624968
0.966654
2
6248763
0.609332
2
62499020
0.898128
2
624956952
0.075340
2
6249999588
0.995706
2
51874637462
0.100186
+
3
62239
0.280927
3
624042
0.210743
3
6249636
0.880469
3
62504210
0.582325
3
625021657
0.370953
3
6249972865
0.722972
3
51875145499
0.509399
+
4
62538
0.875257
4
625879
0.250836
4
6248671
0.582982
4
62504055
0.596290
4
624982139
0.460593
4
6249936892
0.409690
4
51874662349
0.125745
+
5
62449
0.833129
5
624189
0.289379
5
6249714
0.905947
5
62500100
0.989577
5
625014003
0.562934
5
6250053499
0.484610
5
51875294323
0.181999
+
6
62694
0.422872
6
625192
0.801947
6
6252298
0.342445
6
62499119
0.908371
6
624994621
0.824146
6
6249980579
0.799716
6
51875385537
0.080422
+
7
62712
0.381133
7
624387
0.423236
7
6246239
0.120247
7
62494135
0.443557
7
624995881
0.864882
7
6250080035
0.295758
7
51875117452
0.594315
+
8
62185
0.193148
8
625824
0.281718
8
6250436
0.857059
8
62504308
0.573575
8
624978347
0.371041
8
6249844655
0.042416
8
51874829783
0.440198
+
9
63014
0.033718
9
624233
0.316341
9
6250065
0.978577
9
62500659
0.931394
9
624987309
0.600078
9
6250006907
0.928102
9
51875050576
0.818605
+
a
62041
0.057932
a
625500
0.513629
a
6247053
0.223429
a
62485845
0.064429
a
625019933
0.410242
a
6249966116
0.658013
a
51874809399
0.387428
+
b
62382
0.625919
b
626132
0.139183
b
6252484
0.304804
b
62497284
0.722727
b
624999955
0.998517
b
6249871327
0.092767
b
51874473936
0.017057
+
c
62669
0.485071
c
624741
0.735095
c
6249873
0.958157
c
62494093
0.440300
c
625015832
0.513080
c
6250087061
0.255388
c
51875073072
0.740381
+
d
62962
0.056313
d
624330
0.381419
d
6246093
0.106516
d
62504269
0.577049
d
625011021
0.648895
d
6250026173
0.732409
d
51875153146
0.487400
+
e
62366
0.579867
e
624096
0.237610
e
6248349
0.495202
e
62502039
0.789951
e
624982328
0.465352
e
6249895943
0.174021
e
51875023577
0.914859
+
f
62583
0.731683
f
625546
0.475665
f
6250512
0.832484
f
62498877
0.883362
f
624972228
0.251253
f
6250072445
0.343936
f
51875318495
0.148673
+
+
+
Golden Ratio (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
944312423434632608
1315679001245085414
1260810752112751175
601316853453783121
1440137552239732345
1201247783343915658
779847117051622152
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
99805
0.515692
0
1001143
0.228270
0
10003332
0.266712
0
100007840
0.408572
0
1000031042
0.300793
0
10000052724
0.578375
0
99999918136
0.784945
+
1
99993
0.981384
1
1000118
0.901012
1
10000255
0.932261
1
99999864
0.988562
1
999990982
0.763720
1
10000040074
0.672721
1
100000717905
0.016710
+
2
99529
0.116415
2
1000776
0.413371
2
10002116
0.480603
2
100002106
0.824320
2
1000005392
0.857362
2
9999960844
0.679797
2
99999281477
0.016617
+
3
99833
0.577755
3
999794
0.828097
3
9999184
0.785622
3
99979352
0.029519
3
999978183
0.467083
3
9999881095
0.210072
3
99999995716
0.988607
+
4
100151
0.614730
4
999367
0.504618
4
9998797
0.688420
4
99995481
0.633829
4
999952470
0.113118
4
10000032055
0.735447
4
100000431112
0.150707
+
5
100067
0.823276
5
999725
0.771912
5
9996151
0.199492
5
99999934
0.994449
5
1000032985
0.271550
5
9999833743
0.079687
5
100000267801
0.372034
+
6
100328
0.274247
6
999455
0.565643
6
9996149
0.199259
6
100004208
0.657359
6
1000014191
0.636189
6
10000019716
0.835366
6
99999951791
0.872332
+
7
100160
0.593803
7
1000852
0.369139
7
9997524
0.409182
7
100018237
0.054562
7
1000023870
0.426226
7
10000150955
0.111563
7
99999541575
0.126492
+
8
100236
0.431477
8
1000059
0.950410
8
10005419
0.070866
8
99995223
0.614585
8
999976728
0.437906
8
10000068382
0.471027
8
100000040075
0.893732
+
9
99898
0.733857
9
998711
0.174234
9
10001073
0.720593
9
99997755
0.812933
9
999994157
0.845576
9
9999960412
0.676463
9
99999854412
0.627468
+
+
+
Golden Ratio (hexadeceimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
1919782923793360354
358973849997484651
1374207286213649354
1442086360959447624
1688274149165336465
339957470715658246
2167612526587835808
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62447
0.826687
0
623289
0.025402
0
6245058
0.041188
0
62494497
0.472197
0
625034491
0.154190
0
6250110837
0.147626
0
51874901987
0.656720
+
1
62377
0.611358
1
625136
0.858982
1
6251277
0.597810
1
62497101
0.704893
1
624986241
0.569757
1
6249901207
0.196833
1
51874416689
0.008168
+
2
61985
0.033374
2
623397
0.036247
2
6248680
0.585536
2
62496653
0.661930
2
624989629
0.668327
2
6250018029
0.813797
2
51875174158
0.429685
+
3
62669
0.485071
3
622781
0.003745
3
6241305
0.000328
3
62491239
0.252403
3
625004072
0.866409
3
6250047695
0.533229
3
51875239509
0.277449
+
4
62721
0.361247
4
625309
0.686451
4
6245259
0.050160
4
62504143
0.588343
4
625011110
0.646253
4
6249858545
0.064608
4
51874613766
0.079877
+
5
62913
0.087975
5
626309
0.087253
5
6254732
0.050598
5
62505236
0.493957
5
625012199
0.614287
5
6250114539
0.134567
5
51875108444
0.622899
+
6
62214
0.237397
6
626275
0.095783
6
6249135
0.720832
6
62496233
0.622635
6
624961079
0.107858
6
6250032155
0.674433
6
51875119072
0.589239
+
7
62393
0.658463
7
625443
0.562769
7
6252756
0.254889
7
62506679
0.382913
7
624993741
0.795966
7
6249955089
0.557395
7
51874907493
0.674866
+
8
62536
0.881773
8
625839
0.273050
8
6247958
0.398900
8
62505241
0.493545
8
625017046
0.481307
8
6249981169
0.805677
8
51874992322
0.972226
+
9
62932
0.074315
9
626065
0.164131
9
6252546
0.292892
9
62501125
0.883156
9
625040580
0.093653
9
6249979973
0.793605
9
51874887257
0.609183
+
a
62674
0.472248
a
625480
0.530614
a
6251541
0.524376
a
62514022
0.066977
a
624997459
0.916397
a
6250020430
0.789549
a
51875154314
0.484086
+
b
62298
0.404000
b
625124
0.871311
b
6254901
0.042899
b
62491678
0.276957
b
624996257
0.877113
b
6250011021
0.885518
b
51875166991
0.448911
+
c
62531
0.898096
c
624527
0.536625
c
6254539
0.060773
c
62510477
0.171090
c
625026265
0.277897
c
6249910598
0.242830
c
51874847954
0.490533
+
d
62519
0.937436
d
624939
0.936484
d
6251930
0.425266
d
62504011
0.600282
d
624988571
0.636818
d
6250147006
0.054798
d
51875184424
0.402996
+
e
62089
0.089524
e
623643
0.076266
e
6247948
0.396595
e
62489145
0.156164
e
624941569
0.015783
e
6249992123
0.918039
e
51875167848
0.446587
+
f
62702
0.404000
f
626444
0.059237
f
6250435
0.857383
f
62492520
0.328479
f
624999691
0.989815
f
6249919584
0.293465
f
51875117772
0.593311
+
+
+
Zeta(3) (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
2137085247805661829
190615168839065143
423423689230144796
1920392548940788160
1884867502882333131
1571537840618934580
554561106555940252
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
99761
0.425645
0
1000416
0.661022
0
9999248
0.802072
0
100001073
0.909948
0
1000013285
0.657886
0
9999974826
0.790734
0
100000022438
0.940379
+
1
100273
0.362823
1
1000484
0.609925
1
10000163
0.956670
1
99996430
0.706686
1
1000020953
0.484906
1
9999968186
0.737362
1
100000160787
0.591988
+
2
100012
0.968093
2
1001036
0.274816
2
10005579
0.062933
2
99985752
0.133130
2
999958136
0.162875
2
9999913021
0.359227
2
99999702782
0.321819
+
3
99894
0.723839
3
998032
0.038037
3
10000695
0.816797
3
100007728
0.415300
3
999986237
0.646402
3
10000016952
0.858181
3
100000228651
0.445959
+
4
99904
0.748968
4
998174
0.054258
4
9991603
0.005126
4
99994148
0.537330
4
999978725
0.478221
4
10000056037
0.554734
4
100000103582
0.729889
+
5
100399
0.183518
5
1002043
0.031279
5
10003610
0.228847
5
99999279
0.939419
5
999960574
0.188779
5
10000034951
0.712563
5
100000264772
0.377467
+
6
99525
0.113346
6
999818
0.847864
6
10003630
0.226279
6
100014221
0.133867
6
1000020812
0.487849
6
10000043022
0.650195
6
99999711143
0.335619
+
7
100616
0.040040
7
1000198
0.834674
7
9995077
0.100797
7
99993290
0.479382
7
1000016369
0.585318
7
10000056326
0.552694
7
99999981422
0.950621
+
8
99675
0.278660
8
999969
0.973932
8
10001192
0.691122
8
100009336
0.325066
8
1000035324
0.239009
8
10000044998
0.635271
8
100000147357
0.623292
+
9
99941
0.844088
9
999830
0.857784
9
9999203
0.790496
9
99998743
0.894589
9
1000009585
0.749347
9
9999891681
0.253544
9
99999677066
0.281728
+
+
+
Zeta(3) (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
2211762355535330252
686637540253762283
1842902514352442455
310503552139465461
1895984559412745665
1006173770163985494
619287144184347509
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62110
0.107145
0
624521
0.531470
0
6249720
0.907912
0
62504756
0.534388
0
625013588
0.574562
0
6250029114
0.703690
0
51874855444
0.512147
+
1
62666
0.492854
1
625130
0.865143
1
6248842
0.632372
1
62505192
0.497594
1
624980482
0.420056
1
6250039530
0.605563
1
51875252801
0.251654
+
2
62726
0.350486
2
625649
0.396521
2
6253540
0.143621
2
62502303
0.763519
2
625001913
0.937009
2
6249970944
0.704253
2
51874898670
0.645884
+
3
62416
0.728577
3
625204
0.789851
3
6253480
0.150533
3
62509779
0.201418
3
625020802
0.390137
3
6250057138
0.455397
3
51874801539
0.368156
+
4
62621
0.617164
4
624130
0.255721
4
6248755
0.607020
4
62513390
0.080246
4
625013028
0.590432
4
6249985208
0.846770
4
51875240865
0.274738
+
5
62643
0.554682
5
623164
0.016461
5
6248956
0.666254
5
62495006
0.514135
5
625011588
0.632137
5
6250097967
0.200603
5
51875444487
0.043847
+
6
62113
0.109872
6
624573
0.576960
6
6246709
0.173965
6
62492075
0.300521
6
624980351
0.416943
6
6250061972
0.418171
6
51874868288
0.550336
+
7
62423
0.750408
7
625432
0.572507
7
6247149
0.238876
7
62489619
0.175046
7
624975542
0.312302
7
6250010184
0.894159
7
51875321745
0.144573
+
8
63068
0.018950
8
627100
0.006080
8
6252056
0.395675
8
62483609
0.032249
8
624981280
0.439311
8
6249944324
0.467013
8
51875202343
0.358861
+
9
62817
0.190336
9
626034
0.176756
9
6250033
0.989123
9
62506087
0.426496
9
625080961
0.000824
9
6250006022
0.937294
9
51875041028
0.852410
+
a
62686
0.442250
a
625858
0.262336
a
6247572
0.315836
a
62498167
0.810747
a
624965189
0.150404
a
6249967625
0.672335
a
51875006520
0.976414
+
b
62286
0.376657
b
624122
0.251376
b
6250228
0.924957
b
62495857
0.588343
b
625003143
0.896691
b
6250219087
0.004208
b
51875272951
0.215822
+
c
62553
0.826687
c
625391
0.609491
c
6251733
0.474032
c
62498210
0.815106
c
624984398
0.519221
c
6249956196
0.567151
c
51874679763
0.146464
+
d
62498
0.993408
d
624116
0.248151
d
6251349
0.577325
d
62489929
0.188285
d
624955879
0.068346
d
6249882413
0.124502
d
51874515469
0.028011
+
e
62299
0.406331
e
625776
0.310696
e
6250506
0.834419
e
62502571
0.736966
e
624999720
0.990771
e
6249922376
0.310547
e
51874603597
0.072254
+
f
62075
0.079131
f
623800
0.116957
f
6249372
0.795297
f
62513450
0.078901
f
625032136
0.184311
f
6249849900
0.049891
f
51874994490
0.980067
+
+
+
Lemniscate (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
30689010460973544
1106426702819548304
675074360569078103
765151707132328113
403300822484754745
983315492474161690
698230824284215074
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
100104
0.728842
0
999417
0.538861
0
9999619
0.898940
0
100001277
0.892922
0
1000024984
0.404958
0
10000044587
0.638363
0
100000089155
0.766327
+
1
100289
0.335380
1
1001369
0.149006
1
10001676
0.576389
1
100014939
0.115324
1
1000052218
0.081754
1
10000222543
0.018986
1
100000106321
0.723037
+
2
100222
0.459300
2
1000174
0.854475
2
10000434
0.884974
2
99997354
0.780312
2
999963501
0.223744
2
9999983003
0.857809
2
99999532169
0.118893
+
3
100233
0.437355
3
999397
0.525026
3
9998976
0.732853
3
99996759
0.732628
3
1000008919
0.766237
3
9999901688
0.300062
3
100000103354
0.730460
+
4
99818
0.544072
4
999623
0.691078
4
9998242
0.557876
4
99985891
0.136957
4
999956380
0.145946
4
9999955478
0.638853
4
99999767295
0.437936
+
5
100226
0.451250
5
1001295
0.172237
5
10004897
0.102609
5
100010796
0.255121
5
1000062533
0.037121
5
9999925577
0.432754
5
100000184166
0.539290
+
6
100020
0.946847
6
1000689
0.467673
6
10004589
0.126099
6
100005949
0.530607
6
1000024780
0.408804
6
9999990416
0.919531
6
100000571768
0.056664
+
7
99635
0.223731
7
1000081
0.931958
7
10000124
0.967030
7
99997848
0.820548
7
999969107
0.303120
7
9999963843
0.703108
7
99999785854
0.475338
+
8
99722
0.354100
8
999156
0.373652
8
9991654
0.005403
8
99979589
0.031436
8
999956634
0.148308
8
9999973960
0.783711
8
99999617336
0.202116
+
9
99731
0.369897
9
998799
0.205526
9
9999789
0.943928
9
100009598
0.311673
9
999980944
0.525298
9
10000038905
0.681736
9
100000242582
0.418741
+
+
+
Lemniscate (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
2089909640619388043
973823582457026155
274679096863124264
353134896252600689
1605059776801706919
2099456727544731961
565056842105346057
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62478
0.927583
0
625254
0.740022
0
6250963
0.690753
0
62499407
0.938250
0
624997247
0.909451
0
6250032984
0.666540
0
51875138553
0.529822
+
1
62180
0.186175
1
625303
0.692225
1
6249073
0.701749
1
62503960
0.604924
1
625039989
0.098531
1
6250149757
0.050416
1
51875304333
0.167581
+
2
62471
0.904638
2
625218
0.775802
2
6251008
0.677100
2
62518292
0.016864
2
625013438
0.578793
2
6250001227
0.987211
2
51875343490
0.119334
+
3
62685
0.444707
3
625753
0.325256
3
6251389
0.566089
3
62500485
0.949480
3
625002764
0.909090
3
6250070839
0.354739
3
51874825724
0.429373
+
4
62234
0.271814
4
624646
0.643749
4
6247729
0.348146
4
62505271
0.491075
4
625010904
0.652376
4
6249921780
0.306846
4
51874899704
0.649254
+
5
62592
0.703894
5
625427
0.576960
5
6251671
0.489993
5
62494623
0.482400
5
625057893
0.016772
5
6250145597
0.057162
5
51875226464
0.304461
+
6
62520
0.934151
6
624157
0.270770
6
6248641
0.574506
6
62505007
0.513040
6
625020249
0.402861
6
6250038138
0.618320
6
51874975968
0.913223
+
7
62646
0.546407
7
624441
0.465222
7
6250760
0.753544
7
62495433
0.550754
7
625002637
0.913251
7
6250046927
0.539842
7
51874721929
0.207334
+
8
62601
0.676496
8
623781
0.111274
8
6247930
0.392465
8
62490062
0.194186
8
624979132
0.388635
8
6250011508
0.880496
8
51875009562
0.965415
+
9
62130
0.126379
9
624698
0.693189
9
6244694
0.028379
9
62502495
0.744466
9
624992913
0.769693
9
6249876008
0.105270
9
51874817278
0.407351
+
a
62695
0.420485
a
624600
0.601282
a
6251285
0.595518
a
62488567
0.135280
a
624986980
0.590660
a
6249947717
0.494593
a
51874862000
0.531466
+
b
62412
0.716199
b
624028
0.204150
b
6252806
0.246371
b
62510429
0.173059
b
624964596
0.143576
b
6249916613
0.275994
b
51874796987
0.357272
+
c
62906
0.093492
c
626202
0.116349
c
6249522
0.843459
c
62504576
0.549969
c
624976551
0.332684
c
6249867550
0.083573
c
51874937524
0.776946
+
d
62492
0.973635
d
625068
0.929213
d
6246364
0.133072
d
62488249
0.124748
d
624995390
0.848958
d
6249932795
0.379964
d
51874729861
0.220590
+
e
62733
0.335766
e
625480
0.530614
e
6253334
0.168408
e
62488501
0.133040
e
624967381
0.177803
e
6249979390
0.787739
e
51875197119
0.371403
+
f
62225
0.255925
f
625944
0.217488
f
6252831
0.242187
f
62504643
0.544144
f
624991936
0.739030
f
6250061170
0.424220
f
51875213504
0.332971
+
+
+
Catalan (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
609146920609449948
1991658500209565645
2166768102884349819
1406649325839505883
1327416867237860080
1199526426282890554
1722077503573289556
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
99620
0.205275
0
999784
0.819892
0
9998686
0.661386
0
99996067
0.678453
0
999968924
0.300264
0
9999865357
0.155823
0
100000315690
0.292662
+
1
99697
0.312495
1
1000293
0.757436
1
10003813
0.203729
1
100006305
0.506303
1
1000004905
0.870125
1
10000172070
0.069712
1
100000172385
0.565551
+
2
100168
0.575479
2
1001789
0.059326
2
10005122
0.087760
2
100000806
0.932293
2
999982215
0.553293
2
10000047634
0.615593
2
100000412213
0.169428
+
3
99580
0.161513
3
999672
0.729536
3
9995676
0.149491
3
100001483
0.875779
3
999978599
0.475619
3
10000042296
0.655714
3
99999531785
0.118591
+
4
100074
0.805166
4
1000165
0.861924
4
9995377
0.123317
4
100001871
0.843655
4
1000006862
0.819076
4
10000078825
0.406037
4
99999833922
0.579857
+
5
100053
0.859770
5
999965
0.970570
5
9999309
0.817833
5
100000777
0.934724
5
999996781
0.914551
5
10000048972
0.605708
5
99999317679
0.022942
+
6
100201
0.502858
6
998712
0.174568
6
10000674
0.822239
6
99998816
0.900678
6
1000028667
0.339291
6
9999875334
0.188814
6
100000307743
0.304981
+
7
100083
0.782036
7
1000510
0.590862
7
10003863
0.197862
7
100000576
0.951586
7
1000005699
0.849335
7
10000046308
0.625458
7
100000024454
0.935034
+
8
100352
0.240662
8
999298
0.459316
8
9997437
0.392920
8
100000863
0.927518
8
1000022451
0.454239
8
9999983182
0.859291
8
100000219841
0.463678
+
9
100172
0.566419
9
999812
0.842913
9
10000043
0.988564
9
99992436
0.425268
9
1000004897
0.870335
9
9999840022
0.091735
9
99999864288
0.651000
+
+
+
Catalan (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
1688164286555059983
770661630225251504
1228365388073566791
1549581109747252206
1107288465641773252
528461785757965820
811658931329759142
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62328
0.477355
0
624934
0.931290
0
6251309
0.588665
0
62494289
0.455618
0
624980876
0.429500
0
6250053285
0.486358
0
51875221288
0.315647
+
1
62427
0.762975
1
624471
0.489514
1
6249610
0.872002
1
62494734
0.491486
1
624999838
0.994660
1
6250028923
0.705543
1
51875208124
0.345297
+
2
62605
0.664452
2
625695
0.363908
2
6249019
0.685280
2
62485109
0.051733
2
625001524
0.949799
2
6249885127
0.133435
2
51874724917
0.212258
+
3
62917
0.084942
3
626461
0.056308
3
6251842
0.446679
3
62509686
0.205737
3
624992175
0.746495
3
6249925909
0.333084
3
51875140576
0.523831
+
4
61997
0.037711
4
623535
0.055637
4
6248860
0.637673
4
62502726
0.721748
4
624988015
0.620514
4
6250082486
0.281216
4
51875361117
0.101525
+
5
62737
0.327535
5
625213
0.780811
5
6247548
0.311076
5
62507161
0.349526
5
624971859
0.245010
5
6249822169
0.020170
5
51874994660
0.980681
+
6
62519
0.937436
6
624278
0.345570
6
6246773
0.182488
6
62480726
0.011804
6
624997228
0.908828
6
6250013763
0.857310
6
51874684407
0.152408
+
7
62183
0.190336
7
625445
0.561008
7
6254633
0.055623
7
62505198
0.497097
7
625061074
0.011633
7
6250139611
0.068172
7
51875137669
0.532451
+
8
62760
0.282775
8
625780
0.308209
8
6248988
0.675892
8
62503564
0.641503
8
624979599
0.399339
8
6249929502
0.357060
8
51875034503
0.875674
+
9
62301
0.411017
9
625118
0.877488
9
6250447
0.853493
9
62510807
0.158003
9
624978916
0.383744
9
6250002889
0.969894
9
51874952056
0.827893
+
a
62174
0.178056
a
624170
0.278228
a
6250352
0.884381
a
62494495
0.472036
a
625010877
0.653180
a
6250042210
0.581340
a
51874855764
0.513082
+
b
62786
0.237397
b
625019
0.980197
b
6253019
0.212323
b
62521091
0.005864
b
625013127
0.587612
b
6249998475
0.984105
b
51875062898
0.775480
+
c
62522
0.927583
c
625411
0.591317
c
6251900
0.432498
c
62486597
0.079953
c
624978401
0.372235
c
6250036564
0.632885
c
51874760849
0.278168
+
d
62717
0.370004
d
624441
0.465222
d
6247550
0.311471
d
62495150
0.526341
d
625018913
0.434608
d
6249901257
0.197060
d
51874688013
0.157149
+
e
62182
0.188942
e
625079
0.917800
e
6248500
0.535470
e
62502747
0.719695
e
625013796
0.568720
e
6250024438
0.749532
e
51874866999
0.546441
+
f
62845
0.154083
f
624950
0.947919
f
6249650
0.885034
f
62505920
0.439294
f
625013782
0.569112
f
6250113392
0.138514
f
51875306160
0.165045
+
+
+
Log(2) (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
2137329331986983984
1498844399084650316
1407731008274555667
1316624018824653949
1830971725130095921
2151275494591098329
2254138001579091940
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
100154
0.607718
0
1000511
0.590134
0
10001186
0.692597
0
100001802
0.849350
0
999978838
0.480561
0
9999973563
0.780498
0
99999928448
0.811488
+
1
100301
0.315700
1
1001157
0.222622
1
10001248
0.677410
1
99998638
0.885842
1
1000029327
0.328289
1
9999785331
0.023647
1
100000059310
0.843280
+
2
99496
0.092957
2
998535
0.122529
2
10002102
0.483511
2
100026184
0.005780
2
1000058738
0.050238
2
9999862179
0.146290
2
99999703208
0.322513
+
3
99995
0.986703
3
999427
0.545847
3
9995171
0.107471
3
99992387
0.422275
3
999973190
0.371500
3
9999956236
0.644574
3
100000025944
0.931085
+
4
99735
0.377056
4
1000673
0.478074
4
9999885
0.969422
4
99976028
0.011508
4
999922371
0.009664
4
9999986374
0.885792
4
99999808895
0.524114
+
5
100222
0.459300
5
998290
0.071467
5
9998600
0.640738
5
99991321
0.360272
5
999950147
0.096560
5
10000083253
0.380181
5
100000108493
0.717619
+
6
99864
0.650309
6
999325
0.476767
6
9995182
0.108274
6
99999116
0.925759
6
999997340
0.929347
6
10000084075
0.375495
6
100000027886
0.925941
+
7
99857
0.633600
7
1001103
0.244966
7
10004947
0.099148
7
100002793
0.768446
7
1000050065
0.095150
7
10000139329
0.141926
7
100000321136
0.284415
+
8
99832
0.575479
8
1000757
0.424901
8
9998730
0.672052
8
100003765
0.691466
8
1000012121
0.686188
8
10000045205
0.633716
8
99999883793
0.698492
+
9
100544
0.069780
9
1000222
0.814978
9
10002949
0.325607
9
100007966
0.401082
9
1000027863
0.353010
9
10000084455
0.373340
9
100000132887
0.657797
+
+
+
Log(2) (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
737050780120810646
968226290430679914
16184583146907825
594947315377588055
2036611841775674167
1407437111459140849
92618444764672017
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62345
0.521956
0
625536
0.483785
0
6250410
0.865499
0
62508612
0.260561
0
625008500
0.725475
0
6250022359
0.770213
0
51875068414
0.756388
+
1
62478
0.927583
1
624251
0.327832
1
6247584
0.318234
1
62507076
0.355276
1
625021379
0.377125
1
6250059365
0.438020
1
51875125985
0.567805
+
2
62472
0.907912
2
624370
0.410492
2
6244601
0.025719
2
62502579
0.736178
2
624964345
0.140758
2
6250028684
0.707864
2
51875166987
0.448922
+
3
62581
0.737907
3
625243
0.750899
3
6252835
0.241522
3
62492281
0.313260
3
624985447
0.547699
3
6250051161
0.503901
3
51874975253
0.910652
+
4
62795
0.222959
4
624360
0.403103
4
6250365
0.880143
4
62510126
0.185884
4
624994211
0.810986
4
6250031810
0.677729
4
51874929037
0.747615
+
5
62688
0.437358
5
626129
0.140234
5
6249970
0.990112
5
62504639
0.544491
5
625015106
0.532591
5
6249927812
0.345650
5
51875102177
0.643129
+
6
62427
0.762975
6
623895
0.148861
6
6248471
0.527611
6
62489553
0.172319
6
624979666
0.400889
6
6249793056
0.006861
6
51874666619
0.130601
+
7
62547
0.846046
7
625245
0.748918
7
6246755
0.180061
7
62499065
0.902782
7
625028864
0.233095
7
6250093966
0.219610
7
51875218162
0.322532
+
8
62306
0.422872
8
624774
0.767807
8
6248964
0.668658
8
62502914
0.703438
8
624971496
0.238975
8
6249927737
0.345149
8
51874867900
0.549162
+
9
62769
0.266444
9
625417
0.585914
9
6250078
0.974294
9
62485787
0.063343
9
624971946
0.246472
9
6249961828
0.618007
9
51875353123
0.109320
+
a
62238
0.279088
a
626282
0.093974
a
6253389
0.161496
a
62504470
0.559248
a
625053042
0.028433
a
6250025953
0.734573
a
51875029662
0.893004
+
b
62307
0.425266
b
624088
0.233484
b
6248255
0.470976
b
62499496
0.947503
b
625012967
0.592173
b
6249936085
0.403728
b
51874936113
0.772046
+
c
62668
0.487658
c
625572
0.454908
c
6250803
0.740090
c
62511725
0.125585
c
625019061
0.431022
c
6249967693
0.672984
c
51874441990
0.011396
+
d
62507
0.976930
d
625171
0.823229
d
6254183
0.083975
d
62491912
0.290689
d
624970708
0.226238
d
6249948303
0.499443
d
51874851037
0.499370
+
e
62549
0.839582
e
624431
0.457277
e
6251256
0.603847
e
62477410
0.003166
e
624979665
0.400866
e
6250128259
0.093823
e
51875022656
0.918173
+
f
62323
0.464645
f
625236
0.757847
f
6252081
0.389955
f
62512355
0.106516
f
625023597
0.329642
f
6250095929
0.210129
f
51875244885
0.266807
+
+
+
Log(3) (decimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
1 trillion
+
1588012098981075861
1414116006235552428
889948522285119018
1158632287081373225
1420059175048227268
2144871018234980370
417568512167836925
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
100214
0.475640
0
999861
0.883512
0
9997237
0.357050
0
100004262
0.653248
0
999999871
0.996569
0
10000013576
0.886208
0
99999659518
0.256400
+
1
100182
0.544072
1
1000597
0.529157
1
9993564
0.031926
1
99991259
0.356851
1
999950818
0.101130
1
9999824494
0.064314
1
99999589492
0.171199
+
2
99924
0.800011
2
998944
0.265656
2
10000530
0.859770
2
99996348
0.700271
2
999950111
0.096319
2
9999906211
0.322848
2
100000178634
0.551545
+
3
99668
0.268438
3
999016
0.299630
3
10000437
0.884185
3
100004916
0.604324
3
1000008395
0.779605
3
9999948649
0.588310
3
100000092833
0.756984
+
4
100250
0.404657
4
999915
0.928607
4
10000525
0.861080
4
100000531
0.955364
4
999989238
0.719795
4
9999952438
0.616127
4
100000175944
0.557553
+
5
100071
0.812915
5
1000321
0.735089
5
10003926
0.190647
5
99998498
0.874201
5
999995761
0.887633
5
10000057599
0.543754
5
99999928890
0.812631
+
6
99727
0.362823
6
1000184
0.846213
6
10004196
0.161913
6
99991864
0.391108
6
1000062530
0.037130
6
10000038492
0.684933
6
100000337267
0.260918
+
7
100452
0.131896
7
1001522
0.108642
7
9996941
0.307887
7
100002604
0.783711
7
1000047537
0.113065
7
10000100222
0.290771
7
100000143002
0.633595
+
8
99603
0.185725
8
999928
0.939503
8
10001717
0.567096
8
100006004
0.526814
8
999994412
0.852236
8
10000016245
0.864037
8
99999892244
0.719455
+
9
99909
0.761636
9
999712
0.761449
9
10000927
0.757322
9
100003714
0.695435
9
1000001327
0.964718
9
10000142074
0.134239
9
100000002176
0.994213
+
+
+
Log(3) (hexadecimal)
+
+
+
1 million
10 million
100 million
1 billion
10 billion
100 billion
830 billion
+
698882952797896635
2183666638215038453
1551156193110436752
479479482141025770
1801480541525062987
2160424886607523104
1597842109219231701
+
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
digit
count
p
+
0
62203
0.219837
0
624485
0.501079
0
6247621
0.325702
0
62497830
0.776803
0
625007418
0.759261
0
6249955616
0.562029
0
51875094547
0.668120
+
1
62599
0.682549
1
625090
0.906404
1
6254262
0.078288
1
62507153
0.350065
1
625016615
0.492463
1
6249876925
0.107869
1
51874935915
0.771359
+
2
62367
0.582699
2
624780
0.773801
2
6248189
0.454365
2
62509711
0.204570
2
625059965
0.013239
2
6250148204
0.052852
2
51874901544
0.655269
+
3
62374
0.602695
3
624489
0.504410
3
6253413
0.158548
3
62492052
0.299120
3
624965876
0.158621
3
6249887252
0.140769
3
51874751046
0.258941
+
4
62657
0.516600
4
625478
0.532328
4
6250098
0.967706
4
62496124
0.612605
4
625035969
0.137294
4
6250071807
0.348202
4
51875054948
0.803233
+
5
62728
0.346239
5
625938
0.220425
5
6252653
0.273078
5
62506556
0.391737
5
624952905
0.051705
5
6249974035
0.734455
5
51874913657
0.695407
+
6
62686
0.442250
6
623871
0.140234
6
6249300
0.772442
6
62490736
0.226185
6
624997096
0.904507
6
6249985703
0.851837
6
51874862385
0.532612
+
7
62475
0.917741
7
623979
0.182260
7
6252382
0.325092
7
62490198
0.200360
7
624984572
0.523891
7
6250037947
0.620080
7
51874981860
0.934442
+
8
62741
0.319437
8
624160
0.272479
8
6248069
0.425026
8
62503393
0.657578
8
624971557
0.239982
8
6249954316
0.550632
8
51874976561
0.915356
+
9
62362
0.568608
9
624901
0.897094
9
6249176
0.733548
9
62501844
0.809633
9
625025958
0.283553
9
6250017372
0.820465
9
51874799685
0.363698
+
a
62600
0.679520
a
624670
0.666388
a
6248726
0.598671
a
62510012
0.190886
a
625010886
0.652912
a
6250027731
0.717146
a
51875432408
0.049905
+
b
62033
0.053698
b
625099
0.897094
b
6247792
0.361682
b
62499105
0.906922
b
625034903
0.149329
b
6250025978
0.734327
b
51875330194
0.134319
+
c
62563
0.794660
c
626077
0.159431
c
6250964
0.690449
c
62506027
0.431069
c
624986051
0.564440
c
6250100175
0.190643
c
51875197763
0.369842
+
d
62727
0.348358
d
625382
0.617749
d
6250397
0.869725
d
62488745
0.141468
d
624957284
0.077618
d
6249743360
0.000800
d
51874931229
0.755157
+
e
62686
0.442250
e
625852
0.265688
e
6254929
0.041724
e
62505903
0.440609
e
624997797
0.927485
e
6250057536
0.452263
e
51874958794
0.851777
+
f
62199
0.213689
f
625749
0.327832
f
6242029
0.000991
f
62494611
0.481423
f
624995148
0.841133
f
6250136043
0.075526
f
51874877464
0.578452
+
+
+
+
+
diff --git a/academic/bigcomp/y-cruncher/validation/Catalan - 20230907-145722.txt b/academic/bigcomp/y-cruncher/validation/Catalan - 20230907-145722.txt
new file mode 100644
index 0000000..c2dfdb8
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Catalan - 20230907-145722.txt
@@ -0,0 +1,496 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.8.1 Build 9517
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,949,744 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Catalan's Constant
+Algorithm: Pilehrood (2010-short)
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,701,974,528 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 1,931,840,401,680 (1.76 TiB)
+Logical Peak Disk Usage: 6,452,741,193,248 (5.87 TiB)
+Logical Disk Bytes Read: 694,437,415,898,084 ( 632 TiB)
+Logical Disk Bytes Written: 610,026,349,259,860 ( 555 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "catalan"
+ Algorithm : "pilehrood-short"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Tue Aug 8 05:16:41 2023
+End Date: Thu Sep 7 14:56:31 2023
+
+Total Computation Time: 2604964.903 seconds
+Start-to-End Wall Time: 2626789.308 seconds
+
+CPU Utilization: 1802.46 % + 1.46 % kernel overhead
+Multi-core Efficiency: 37.55 % + 0.03 % kernel overhead
+
+Last Decimal Digits:
+5077790272 7676341119 2582690890 6344011543 7112609858 : 1,000,000,000,000
+9624995342 4828275328 3812635864 2857709151 3243051548 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+664478c982 4f77e0fc16 8394728daa bc12fdba2e 4e096ae832 : 830,482,023,750
+a38a0ef14d 5048
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): f72653a6af0ce0c1c52deef75a651fa846f968f8e390e187871d2d1692e33184
+
+Dec Counts: {100000315692,100000172389,100000412221,99999531791,99999833928,99999317686,100000307746,100000024457,100000219848,99999864292}
+Hex Counts: {51905345350,51905339199,51904856168,51905267156,51905482700,51905120268,51904810702,51905258911,51905163309,51905077120,51904977988,51905189228,51904889500,51904815709,51904997554,51905432902}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 1812639362495231865
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 1993355974141269798
+
+Spot Check: Good through 600,000,000,100
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 79,357,891
+Reference Clock 2: 8,995,218
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Tue Aug 8 05:16:42 2023 0.348 Working Memory
+Tue Aug 8 05:20:36 2023 234.148 Working Memory: 479 GiB (locked, spread: ?)
+Tue Aug 8 05:20:36 2023 234.148 Twiddle Tables
+Tue Aug 8 05:20:36 2023 234.316 Twiddle Tables: 150 MiB (locked, spread: ?)
+Tue Aug 8 05:20:36 2023 234.317 I/O Buffers
+Tue Aug 8 05:20:36 2023 234.445 I/O Buffers: 512 MiB (locked, spread: ?)
+Tue Aug 8 05:20:36 2023 234.446 Begin Computation
+Tue Aug 8 05:20:36 2023 234.446 Series CommonP2B3... 442,347,219,943 terms (Expansion Factor = 21.636)
+Tue Aug 8 05:20:36 2023 234.446 Series: A ( 243 ) 0.000%
+Tue Aug 8 05:20:36 2023 234.754 Series: A ( 242 ) 0.000%
+Tue Aug 8 05:20:37 2023 235.389 Series: A ( 241 ) 0.000%
+Tue Aug 8 05:20:38 2023 236.096 Series: A ( 240 ) 0.001%
+Tue Aug 8 05:20:38 2023 236.879 Series: A ( 239 ) 0.001%
+Tue Aug 8 05:20:39 2023 237.688 Series: A ( 238 ) 0.001%
+Tue Aug 8 05:20:40 2023 238.524 Series: A ( 237 ) 0.001%
+Tue Aug 8 05:20:41 2023 239.377 Series: A ( 236 ) 0.002%
+Tue Aug 8 05:20:42 2023 240.252 Series: A ( 235 ) 0.002%
+Tue Aug 8 05:20:43 2023 241.139 Series: A ( 234 ) 0.002%
+Tue Aug 8 05:20:44 2023 242.053 Series: A ( 233 ) 0.003%
+Tue Aug 8 05:20:44 2023 242.982 Series: A ( 232 ) 0.003%
+Tue Aug 8 05:20:45 2023 243.959 Series: A ( 231 ) 0.003%
+Tue Aug 8 05:20:46 2023 244.940 Series: A ( 230 ) 0.003%
+Tue Aug 8 05:20:47 2023 245.929 Series: A ( 229 ) 0.004%
+Tue Aug 8 05:20:48 2023 246.938 Series: A ( 228 ) 0.004%
+Tue Aug 8 05:20:49 2023 247.930 Series: A ( 227 ) 0.004%
+Tue Aug 8 05:20:50 2023 248.986 Series: A ( 226 ) 0.004%
+Tue Aug 8 05:20:52 2023 250.073 Series: A ( 225 ) 0.005%
+Tue Aug 8 05:20:53 2023 251.157 Series: A ( 224 ) 0.005%
+Tue Aug 8 05:20:54 2023 252.257 Series: A ( 223 ) 0.005%
+Tue Aug 8 05:20:55 2023 253.342 Series: A ( 222 ) 0.006%
+Tue Aug 8 05:20:56 2023 254.430 Series: E ( 221 ) 0.006%
+Tue Aug 8 05:20:57 2023 255.523 Series: E ( 220 ) 0.006%
+Tue Aug 8 05:20:58 2023 256.665 Series: E ( 219 ) 0.006%
+Tue Aug 8 05:20:59 2023 257.868 Series: E ( 218 ) 0.007%
+Tue Aug 8 05:21:01 2023 259.096 Series: E ( 217 ) 0.007%
+Tue Aug 8 05:21:02 2023 260.404 Series: E ( 216 ) 0.007%
+Tue Aug 8 05:21:03 2023 261.766 Series: E ( 215 ) 0.008%
+Tue Aug 8 05:21:05 2023 263.198 Series: E ( 214 ) 0.008%
+Tue Aug 8 05:21:06 2023 264.645 Series: E ( 213 ) 0.008%
+Tue Aug 8 05:21:08 2023 266.161 Series: E ( 212 ) 0.009%
+Tue Aug 8 05:21:09 2023 267.819 Series: E ( 211 ) 0.009%
+Tue Aug 8 05:21:11 2023 269.604 Series: E ( 210 ) 0.009%
+Tue Aug 8 05:21:13 2023 271.474 Series: E ( 209 ) 0.010%
+Tue Aug 8 05:21:15 2023 273.513 Series: E ( 208 ) 0.010%
+Tue Aug 8 05:21:17 2023 275.620 Series: E ( 207 ) 0.011%
+Tue Aug 8 05:21:19 2023 277.792 Series: E ( 206 ) 0.011%
+Tue Aug 8 05:21:21 2023 280.005 Series: E ( 205 ) 0.012%
+Tue Aug 8 05:21:24 2023 282.295 Series: E ( 204 ) 0.012%
+Tue Aug 8 05:21:26 2023 284.799 Series: E ( 203 ) 0.013%
+Tue Aug 8 05:21:29 2023 287.443 Series: E ( 202 ) 0.013%
+Tue Aug 8 05:21:32 2023 290.123 Series: E ( 201 ) 0.014%
+Tue Aug 8 05:21:34 2023 292.934 Series: E ( 200 ) 0.015%
+Tue Aug 8 05:21:37 2023 295.880 Series: E ( 199 ) 0.015%
+Tue Aug 8 05:21:40 2023 298.988 Series: E ( 198 ) 0.016%
+Tue Aug 8 05:21:44 2023 302.212 Series: E ( 197 ) 0.017%
+Tue Aug 8 05:21:47 2023 305.500 Series: E ( 196 ) 0.017%
+Tue Aug 8 05:21:51 2023 309.114 Series: E ( 195 ) 0.018%
+Tue Aug 8 05:21:55 2023 313.060 Series: E ( 194 ) 0.019%
+Tue Aug 8 05:21:59 2023 317.140 Series: E ( 193 ) 0.020%
+Tue Aug 8 05:22:03 2023 321.539 Series: E ( 192 ) 0.021%
+Tue Aug 8 05:22:08 2023 326.142 Series: E ( 191 ) 0.022%
+Tue Aug 8 05:22:12 2023 330.916 Series: E ( 190 ) 0.023%
+Tue Aug 8 05:22:17 2023 335.857 Series: E ( 189 ) 0.024%
+Tue Aug 8 05:22:22 2023 340.869 Series: E ( 188 ) 0.025%
+Tue Aug 8 05:22:28 2023 346.339 Series: E ( 187 ) 0.026%
+Tue Aug 8 05:22:34 2023 352.140 Series: E ( 186 ) 0.027%
+Tue Aug 8 05:22:39 2023 357.971 Series: E ( 185 ) 0.028%
+Tue Aug 8 05:22:46 2023 364.075 Series: E ( 184 ) 0.029%
+Tue Aug 8 05:22:52 2023 370.458 Series: E ( 183 ) 0.031%
+Tue Aug 8 05:22:59 2023 377.208 Series: E ( 182 ) 0.032%
+Tue Aug 8 05:23:06 2023 384.253 Series: E ( 181 ) 0.033%
+Tue Aug 8 05:23:14 2023 392.070 Series: E ( 180 ) 0.035%
+Tue Aug 8 05:23:22 2023 400.343 Series: E ( 179 ) 0.037%
+Tue Aug 8 05:23:31 2023 409.189 Series: E ( 178 ) 0.038%
+Tue Aug 8 05:23:40 2023 418.420 Series: E ( 177 ) 0.040%
+Tue Aug 8 05:23:50 2023 428.154 Series: E ( 176 ) 0.042%
+Tue Aug 8 05:24:00 2023 438.055 Series: E ( 175 ) 0.043%
+Tue Aug 8 05:24:10 2023 448.526 Series: E ( 174 ) 0.045%
+Tue Aug 8 05:24:21 2023 459.280 Series: E ( 173 ) 0.047%
+Tue Aug 8 05:24:32 2023 470.145 Series: E ( 172 ) 0.050%
+Tue Aug 8 05:24:43 2023 481.932 Series: E ( 171 ) 0.052%
+Tue Aug 8 05:24:56 2023 494.458 Series: E ( 170 ) 0.054%
+Tue Aug 8 05:25:09 2023 507.359 Series: E ( 169 ) 0.057%
+Tue Aug 8 05:25:22 2023 520.733 Series: E ( 168 ) 0.059%
+Tue Aug 8 05:25:36 2023 534.593 Series: E ( 167 ) 0.062%
+Tue Aug 8 05:25:51 2023 549.265 Series: E ( 166 ) 0.064%
+Tue Aug 8 05:26:06 2023 564.714 Series: E ( 165 ) 0.067%
+Tue Aug 8 05:26:23 2023 581.488 Series: E ( 164 ) 0.070%
+Tue Aug 8 05:26:41 2023 599.353 Series: E ( 163 ) 0.073%
+Tue Aug 8 05:27:00 2023 618.577 Series: E ( 162 ) 0.077%
+Tue Aug 8 05:27:20 2023 638.681 Series: E ( 161 ) 0.080%
+Tue Aug 8 05:27:41 2023 659.342 Series: E ( 160 ) 0.084%
+Tue Aug 8 05:28:02 2023 680.888 Series: E ( 159 ) 0.087%
+Tue Aug 8 05:28:25 2023 703.242 Series: E ( 158 ) 0.091%
+Tue Aug 8 05:28:48 2023 726.423 Series: E ( 157 ) 0.095%
+Tue Aug 8 05:29:11 2023 749.637 Series: E ( 156 ) 0.100%
+Tue Aug 8 05:29:36 2023 774.842 Series: E ( 155 ) 0.104%
+Tue Aug 8 05:30:04 2023 802.200 Series: E ( 154 ) 0.109%
+Tue Aug 8 05:30:31 2023 829.772 Series: E ( 153 ) 0.114%
+Tue Aug 8 05:31:01 2023 859.348 Series: E ( 152 ) 0.119%
+Tue Aug 8 05:31:31 2023 889.256 Series: E ( 151 ) 0.124%
+Tue Aug 8 05:32:03 2023 921.037 Series: E ( 150 ) 0.130%
+Tue Aug 8 05:32:37 2023 955.117 Series: E ( 149 ) 0.135%
+Tue Aug 8 05:33:12 2023 990.723 Series: E ( 148 ) 0.141%
+Tue Aug 8 05:33:50 2023 1028.970 Series: E ( 147 ) 0.148%
+Tue Aug 8 05:34:31 2023 1069.262 Series: E ( 146 ) 0.154%
+Tue Aug 8 05:35:14 2023 1112.173 Series: E ( 145 ) 0.161%
+Tue Aug 8 05:35:58 2023 1156.554 Series: E ( 144 ) 0.168%
+Tue Aug 8 05:36:43 2023 1201.718 Series: E ( 143 ) 0.176%
+Tue Aug 8 05:37:32 2023 1250.152 Series: E ( 142 ) 0.184%
+Tue Aug 8 05:38:22 2023 1300.029 Series: E ( 141 ) 0.192%
+Tue Aug 8 05:39:12 2023 1350.034 Series: E ( 140 ) 0.201%
+Tue Aug 8 05:40:07 2023 1405.335 Series: E ( 139 ) 0.209%
+Tue Aug 8 05:41:05 2023 1463.971 Series: E ( 138 ) 0.219%
+Tue Aug 8 05:42:07 2023 1525.924 Series: E ( 137 ) 0.229%
+Tue Aug 8 05:43:11 2023 1589.342 Series: E ( 136 ) 0.239%
+Tue Aug 8 05:44:17 2023 1655.629 Series: E ( 135 ) 0.249%
+Tue Aug 8 05:45:26 2023 1724.929 Series: E ( 134 ) 0.261%
+Tue Aug 8 05:46:39 2023 1797.141 Series: E ( 133 ) 0.272%
+Tue Aug 8 05:47:56 2023 1874.278 Series: E ( 132 ) 0.284%
+Tue Aug 8 05:49:16 2023 1954.940 Series: E ( 131 ) 0.297%
+Tue Aug 8 05:50:42 2023 2040.870 Series: E ( 130 ) 0.310%
+Tue Aug 8 05:52:13 2023 2131.774 Series: E ( 129 ) 0.324%
+Tue Aug 8 05:53:49 2023 2228.002 Series: E ( 128 ) 0.339%
+Tue Aug 8 05:55:28 2023 2326.265 Series: E ( 127 ) 0.354%
+Tue Aug 8 05:57:11 2023 2429.543 Series: E ( 126 ) 0.370%
+Tue Aug 8 05:58:59 2023 2537.536 Series: E ( 125 ) 0.386%
+Tue Aug 8 06:00:48 2023 2646.139 Series: E ( 124 ) 0.403%
+Tue Aug 8 06:02:46 2023 2764.425 Series: E ( 123 ) 0.421%
+Tue Aug 8 06:04:57 2023 2895.420 Series: E ( 122 ) 0.440%
+Tue Aug 8 06:07:12 2023 3030.490 Series: E ( 121 ) 0.460%
+Tue Aug 8 06:09:32 2023 3170.937 Series: E ( 120 ) 0.480%
+Tue Aug 8 06:11:58 2023 3316.792 Series: E ( 119 ) 0.502%
+Tue Aug 8 06:14:32 2023 3470.530 Series: E ( 118 ) 0.524%
+Tue Aug 8 06:17:19 2023 3637.353 Series: E ( 117 ) 0.547%
+Tue Aug 8 06:20:07 2023 3805.377 Series: E ( 116 ) 0.572%
+Tue Aug 8 06:23:01 2023 3979.086 Series: E ( 115 ) 0.597%
+Tue Aug 8 06:26:09 2023 4167.838 Series: E ( 114 ) 0.624%
+Tue Aug 8 06:29:29 2023 4367.778 Series: E ( 113 ) 0.652%
+Tue Aug 8 06:32:58 2023 4576.846 Series: E ( 112 ) 0.681%
+Tue Aug 8 06:36:44 2023 4802.249 Series: E ( 111 ) 0.711%
+Tue Aug 8 06:40:31 2023 5029.441 Series: E ( 110 ) 0.743%
+Tue Aug 8 06:44:27 2023 5265.848 Series: E ( 109 ) 0.776%
+Tue Aug 8 06:48:43 2023 5521.558 Series: E ( 108 ) 0.811%
+Tue Aug 8 06:53:00 2023 5778.527 Series: E ( 107 ) 0.847%
+Tue Aug 8 06:57:36 2023 6054.304 Series: E ( 106 ) 0.885%
+Tue Aug 8 07:02:29 2023 6347.573 Series: E ( 105 ) 0.925%
+Tue Aug 8 07:07:35 2023 6653.692 Series: E ( 104 ) 0.966%
+Tue Aug 8 07:12:42 2023 6960.924 Series: E ( 103 ) 1.009%
+Tue Aug 8 07:18:16 2023 7294.897 Series: E ( 102 ) 1.054%
+Tue Aug 8 07:24:08 2023 7646.866 Series: E ( 101 ) 1.101%
+Tue Aug 8 07:30:13 2023 8011.132 Series: E ( 100 ) 1.150%
+Tue Aug 8 07:36:27 2023 8385.112 Series: E ( 99 ) 1.202%
+Tue Aug 8 07:43:17 2023 8795.706 Series: E ( 98 ) 1.255%
+Tue Aug 8 07:50:40 2023 9238.668 Series: E ( 97 ) 1.311%
+Tue Aug 8 07:58:20 2023 9698.465 Series: E ( 96 ) 1.370%
+Tue Aug 8 08:06:21 2023 10179.420 Series: E ( 95 ) 1.431%
+Tue Aug 8 08:14:49 2023 10687.207 Series: E ( 94 ) 1.495%
+Tue Aug 8 08:23:20 2023 11198.494 Series: E ( 93 ) 1.562%
+Tue Aug 8 08:32:33 2023 11751.987 Series: E ( 92 ) 1.632%
+Tue Aug 8 08:42:19 2023 12337.317 Series: E ( 91 ) 1.704%
+Tue Aug 8 08:52:30 2023 12948.363 Series: E ( 90 ) 1.781%
+Tue Aug 8 09:02:55 2023 13573.117 Series: E ( 89 ) 1.860%
+Tue Aug 8 09:13:56 2023 14234.975 Series: E ( 88 ) 1.943%
+Tue Aug 8 09:25:44 2023 14942.875 Series: E ( 87 ) 2.030%
+Tue Aug 8 09:37:28 2023 15646.533 Series: E ( 86 ) 2.121%
+Tue Aug 8 09:50:14 2023 16413.022 Series: E ( 85 ) 2.215%
+Tue Aug 8 10:03:46 2023 17224.701 Series: E ( 84 ) 2.314%
+Tue Aug 8 10:17:32 2023 18050.351 Series: E ( 83 ) 2.418%
+Tue Aug 8 10:32:04 2023 18922.904 Series: E ( 82 ) 2.526%
+Tue Aug 8 10:48:19 2023 19897.126 Series: E ( 81 ) 2.639%
+Tue Aug 8 11:04:17 2023 20855.927 Series: E ( 80 ) 2.756%
+Tue Aug 8 11:21:51 2023 21909.772 Series: E ( 79 ) 2.880%
+Tue Aug 8 11:39:48 2023 22986.890 Series: E ( 78 ) 3.008%
+Tue Aug 8 11:58:42 2023 24120.038 Series: E ( 77 ) 3.143%
+Tue Aug 8 12:18:29 2023 25307.604 Series: E ( 76 ) 3.283%
+Tue Aug 8 12:39:19 2023 26557.572 Series: E ( 75 ) 3.430%
+Tue Aug 8 13:01:03 2023 27861.808 Series: E ( 74 ) 3.583%
+Tue Aug 8 13:23:48 2023 29226.350 Series: E ( 73 ) 3.743%
+Tue Aug 8 13:48:07 2023 30685.908 Series: E ( 72 ) 3.910%
+Tue Aug 8 14:14:04 2023 32242.665 Series: E ( 71 ) 4.085%
+Tue Aug 8 14:41:08 2023 33866.085 Series: E ( 70 ) 4.268%
+Tue Aug 8 15:09:18 2023 35556.562 Series: E ( 69 ) 4.459%
+Tue Aug 8 15:37:50 2023 37268.558 Series: E ( 68 ) 4.658%
+Tue Aug 8 16:09:03 2023 39141.741 Series: E ( 67 ) 4.866%
+Tue Aug 8 16:39:55 2023 40993.201 Series: E ( 66 ) 5.084%
+Tue Aug 8 17:14:01 2023 43039.673 Series: E ( 65 ) 5.311%
+Tue Aug 8 17:49:48 2023 45186.686 Series: E ( 64 ) 5.549%
+Tue Aug 8 18:26:56 2023 47414.827 Series: E ( 63 ) 5.797%
+Tue Aug 8 19:05:28 2023 49726.291 Series: E ( 62 ) 6.056%
+Tue Aug 8 19:44:55 2023 52094.014 Series: E ( 61 ) 6.327%
+Tue Aug 8 20:26:28 2023 54586.052 Series: E ( 60 ) 6.610%
+Tue Aug 8 21:13:04 2023 57382.082 Series: E ( 59 ) 6.906%
+Tue Aug 8 21:58:31 2023 60109.361 Series: E ( 58 ) 7.215%
+Tue Aug 8 22:48:37 2023 63115.557 Series: E ( 57 ) 7.537%
+Tue Aug 8 23:39:42 2023 66180.831 Series: E ( 56 ) 7.875%
+Wed Aug 9 00:35:22 2023 69520.788 Series: S ( 55 ) 8.227%
+Wed Aug 9 01:43:56 2023 73634.442 Series: S ( 54 ) 8.596%
+Wed Aug 9 02:53:53 2023 77831.879 Series: S ( 53 ) 8.981%
+Wed Aug 9 04:07:31 2023 82249.596 Series: S ( 52 ) 9.383%
+Wed Aug 9 05:28:00 2023 87078.559 Series: S ( 51 ) 9.803%
+Wed Aug 9 06:51:51 2023 92109.578 Series: S ( 50 ) 10.242%
+Wed Aug 9 08:19:21 2023 97359.443 Series: S ( 49 ) 10.701%
+Wed Aug 9 09:50:45 2023 102843.809 Series: S ( 48 ) 11.180%
+Wed Aug 9 11:29:43 2023 108781.724 Series: S ( 47 ) 11.682%
+Wed Aug 9 13:16:15 2023 115173.693 Series: S ( 46 ) 12.205%
+Wed Aug 9 15:01:43 2023 121501.201 Series: S ( 45 ) 12.752%
+Wed Aug 9 16:55:37 2023 128335.059 Series: S ( 44 ) 13.324%
+Wed Aug 9 18:58:17 2023 135695.783 Series: S ( 43 ) 13.922%
+Wed Aug 9 21:02:18 2023 143136.984 Series: S ( 42 ) 14.547%
+Wed Aug 9 23:14:23 2023 151061.500 Series: S ( 41 ) 15.200%
+Thu Aug 10 01:43:12 2023 159990.894 Series: S ( 40 ) 15.882%
+Thu Aug 10 04:27:30 2023 169848.629 Series: S ( 39 ) 16.595%
+Thu Aug 10 07:19:36 2023 180174.320 Series: S ( 38 ) 17.341%
+Thu Aug 10 10:12:03 2023 190521.503 Series: S ( 37 ) 18.120%
+Thu Aug 10 13:15:03 2023 201501.199 Series: S ( 36 ) 18.934%
+Thu Aug 10 17:48:54 2023 217932.619 Series: S ( 35 ) 19.786%
+Thu Aug 10 23:01:04 2023 236662.217 Series: S ( 34 ) 20.676%
+Fri Aug 11 04:12:03 2023 255321.288 Series: S ( 33 ) 21.606%
+Fri Aug 11 09:46:21 2023 275379.462 Series: S ( 32 ) 22.579%
+Fri Aug 11 15:57:18 2023 297636.576 Series: S ( 31 ) 23.596%
+Fri Aug 11 22:37:57 2023 321675.600 Series: S ( 30 ) 24.659%
+Sat Aug 12 05:28:48 2023 346326.859 Series: S ( 29 ) 25.771%
+Sat Aug 12 12:53:20 2023 372998.339 Series: S ( 28 ) 26.933%
+Sat Aug 12 20:03:50 2023 398829.006 Series: S ( 27 ) 28.149%
+Sun Aug 13 03:58:43 2023 427321.471 Series: S ( 26 ) 29.420%
+Sun Aug 13 12:29:41 2023 457979.630 Series: S ( 25 ) 30.749%
+Sun Aug 13 21:33:39 2023 490617.075 Series: S ( 24 ) 32.140%
+Mon Aug 14 07:13:37 2023 525415.447 Series: S ( 23 ) 33.594%
+Mon Aug 14 17:08:58 2023 561136.264 Series: S ( 22 ) 35.115%
+Tue Aug 15 03:33:00 2023 598578.583 Series: S ( 21 ) 36.707%
+Tue Aug 15 13:43:31 2023 635209.748 Series: S ( 20 ) 38.372%
+Wed Aug 16 02:52:21 2023 682539.877 Series: S ( 19 ) 40.115%
+Wed Aug 16 17:07:59 2023 733877.122 Series: S ( 18 ) 41.938%
+Thu Aug 17 08:29:41 2023 789179.755 Series: S ( 17 ) 43.847%
+Fri Aug 18 00:51:47 2023 848105.625 Series: S ( 16 ) 45.844%
+Fri Aug 18 18:12:36 2023 910554.044 Series: S ( 15 ) 47.936%
+Sat Aug 19 11:21:36 2023 972294.998 Series: S ( 14 ) 50.126%
+Sun Aug 20 06:46:31 2023 1042189.961 Series: S ( 13 ) 52.420%
+Mon Aug 21 02:03:52 2023 1111630.662 Series: S ( 12 ) 54.823%
+Mon Aug 21 22:48:23 2023 1186301.374 Series: S ( 11 ) 57.341%
+Tue Aug 22 20:07:52 2023 1263070.213 Series: S ( 10 ) 59.980%
+Wed Aug 23 19:02:24 2023 1345542.115 Series: S ( 9 ) 62.748%
+Thu Aug 24 19:49:28 2023 1434766.761 Series: S ( 8 ) 65.651%
+Fri Aug 25 21:54:16 2023 1528654.526 Series: S ( 7 ) 68.697%
+Sun Aug 27 00:53:57 2023 1625835.371 Series: S ( 6 ) 71.897%
+Mon Aug 28 04:37:08 2023 1725626.958 Series: S ( 5 ) 75.259%
+Tue Aug 29 11:50:55 2023 1838053.292 Series: S ( 4 ) 78.797%
+Wed Aug 30 21:41:22 2023 1959880.371 Series: S ( 3 ) 82.524%
+Fri Sep 1 10:23:37 2023 2092016.015 Series: S ( 2 ) 86.459%
+Sun Sep 3 00:04:09 2023 2227647.713 Series: S ( 1 ) 90.629%
+Mon Sep 4 16:43:54 2023 2374032.627 Series: S ( 0 ) 95.079%
+Wed Sep 6 11:25:18 2023 2527716.459 Finishing Series
+Wed Sep 6 11:39:44 2023 2528582.814 Large Division
+Wed Sep 6 22:44:58 2023 2568496.810 Writing Hexadecimal Digits
+Wed Sep 6 23:10:32 2023 2570030.148 Base Converting
+Thu Sep 7 09:22:14 2023 2606732.717 Writing Decimal Digits
+Thu Sep 7 09:56:20 2023 2608778.628 Verifying Base Conversion
+Thu Sep 7 14:41:32 2023 2625890.727 Verifying Binary Output
+Thu Sep 7 14:50:06 2023 2626404.680 Verifying Decimal Output
+Thu Sep 7 14:53:24 2023 2626602.162 Verifying Hexadecimal Output
+Thu Sep 7 14:56:31 2023 2626789.308 End Computation
+
+----
+
+Checksum0: de5adcc8428d125509c92896b591cac689ac45678117665155424ab4da93073c67ad360ecdc0ed96fe4796026ebb18b4dafbf6c8c0ec4c2aade1490bb96a55e7
+Checksum1: 901d497e28e3977b8211e5062fdacf7687e65fd7ad0751de624b9367b4e8ecf359dce16d85d74ef3629dfe62f535a42f247ccfb6ee9dff392cedcbd47f4c6c16
diff --git a/academic/bigcomp/y-cruncher/validation/Golden Ratio - 20230607-132602.txt b/academic/bigcomp/y-cruncher/validation/Golden Ratio - 20230607-132602.txt
new file mode 100644
index 0000000..1df0f94
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Golden Ratio - 20230607-132602.txt
@@ -0,0 +1,251 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.7.10 Build 9513
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,955,968 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Golden Ratio
+Algorithm: Newton's Method
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,722,327,744 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 415,241,011,984 ( 387 GiB)
+Logical Peak Disk Usage: 4,410,995,419,200 (4.01 TiB)
+Logical Disk Bytes Read: 34,111,651,295,512 (31.0 TiB)
+Logical Disk Bytes Written: 27,502,722,904,928 (25.0 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "goldenratio"
+ Algorithm : "newton"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Tue Jun 6 19:04:48 2023
+End Date: Wed Jun 7 13:25:13 2023
+
+Total Computation Time: 47227.636 seconds
+Start-to-End Wall Time: 66024.467 seconds
+
+CPU Utilization: 1329.78 % + 2.79 % kernel overhead
+Multi-core Efficiency: 27.70 % + 0.06 % kernel overhead
+
+Last Decimal Digits:
+5428986734 6535846589 3743851405 1102915224 5896454442 : 1,000,000,000,000
+4335324969 6258122336 1236542514 0797067631 5265499948 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+2308c6ccd3 63c03f1994 be214640e7 5551921c33 b7dd62bf06 : 830,482,023,750
+7233b49cd8 4fb6
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): 8856af2073273b7b81bf7b694ff1a10a6260ecc12d9c8dfb486aa542fb2d2fb2
+
+Dec Counts: {99999918138,100000717909,99999281484,99999995723,100000431118,100000267807,99999951798,99999541578,100000040077,99999854418}
+Hex Counts: {51905026026,51904550122,51905290015,51905364140,51904736077,51905236764,51905243203,51905032692,51905121603,51905022005,51905288502,51905291697,51904971366,51905305981,51905302110,51905241461}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 1318473944497446463
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 1804508282814337271
+
+Spot Check: Good through 1,000,000,000,000
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 129,006,474
+Reference Clock 2: 8,790,014
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Tue Jun 6 19:04:48 2023 0.331 Working Memory
+Tue Jun 6 19:08:40 2023 231.480 Working Memory: 479 GiB (locked, spread: ?)
+Tue Jun 6 19:08:40 2023 231.480 Twiddle Tables
+Tue Jun 6 19:08:40 2023 231.587 Twiddle Tables: 131 MiB (locked, spread: ?)
+Tue Jun 6 19:08:40 2023 231.587 I/O Buffers
+Tue Jun 6 19:08:40 2023 231.715 I/O Buffers: 512 MiB (locked, spread: ?)
+Tue Jun 6 19:08:40 2023 231.716 Begin Computation
+Tue Jun 6 19:08:40 2023 231.716 InvSqrt(5)...
+Wed Jun 7 00:06:05 2023 18076.956 Finishing
+Wed Jun 7 00:26:55 2023 19326.894 Writing Hexadecimal Digits
+Wed Jun 7 01:07:44 2023 21776.167 Base Converting
+Wed Jun 7 08:56:37 2023 49908.809 Writing Decimal Digits
+Wed Jun 7 09:36:09 2023 52280.385 Verifying Base Conversion
+Wed Jun 7 13:13:41 2023 65332.936 Verifying Binary Output
+Wed Jun 7 13:18:55 2023 65646.622 Verifying Decimal Output
+Wed Jun 7 13:22:13 2023 65844.615 Verifying Hexadecimal Output
+Wed Jun 7 13:25:13 2023 66024.467 End Computation
+
+----
+
+Checksum0: 23e6e9ad588337496096f54bdeed4c4b94954312cabe99b1200e1accd10ad61ddfe99515968a0bc6ec46de7a7ead5584fe78d362037fd1120eda67a3f8c4f43e
+Checksum1: 41d3ed896210b1b469a7d64febdd0609394bb870c02d56ced8c6877515b1d5cf8bba0a742c26f4f4f68c6e9309f1672bda1fcd9890c70cbedd3e25dc57dbb1eb
diff --git a/academic/bigcomp/y-cruncher/validation/Lemniscate - 20231228-090301.txt b/academic/bigcomp/y-cruncher/validation/Lemniscate - 20231228-090301.txt
new file mode 100644
index 0000000..8121f1b
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Lemniscate - 20231228-090301.txt
@@ -0,0 +1,652 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.8.1 Build 9517
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-88-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,940,000 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,963,094,528 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Lemniscate Constant
+Algorithm: Gauss Formula
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,701,974,528 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 2,302,908,304,336 (2.09 TiB)
+Logical Peak Disk Usage: 6,711,195,033,440 (6.10 TiB)
+Logical Disk Bytes Read: 1,109,015,092,900,600 (0.98 PiB)
+Logical Disk Bytes Written: 975,173,071,501,480 ( 887 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "lemniscate"
+ Algorithm : "gauss"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Sat Nov 11 11:10:14 2023
+End Date: Thu Dec 28 09:02:13 2023
+
+Total Computation Time: 4028112.185 seconds
+Start-to-End Wall Time: 4053118.662 seconds
+
+CPU Utilization: 1857.01 % + 1.52 % kernel overhead
+Multi-core Efficiency: 38.69 % + 0.03 % kernel overhead
+
+Last Decimal Digits:
+3237741373 3790450410 1103198161 9697299522 5464599462 : 1,000,000,000,000
+7065505644 8266126618 4628837626 5099507451 5462853887 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+4032a92f1f d7f2bde4fe f9fdaa6686 14a0317cc5 23d3d575a5 : 830,482,023,750
+22255666dd 368e
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): ad0315e9d8e940e5978ee6f9e0a7d3c60908cfb97131c3b9536b22a28cadf521
+
+Dec Counts: {100000089159,100000106324,99999532174,100000103356,99999767300,100000184174,100000571778,99999785858,99999617343,100000242584}
+Hex Counts: {51905261384,51905436753,51905469799,51904953617,51905033216,51905348681,51905098482,51904845230,51905143328,51904942340,51904986704,51904917748,51905061094,51904856835,51905324983,51905343570}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 2241202921204994782
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 2077523342305850363
+
+Spot Check: Good through 600,000,000,000
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 129,242,778
+Reference Clock 2: 9,160,835
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Sat Nov 11 11:10:15 2023 0.569 Working Memory
+Sat Nov 11 11:14:09 2023 234.855 Working Memory: 479 GiB (locked, spread: ?)
+Sat Nov 11 11:14:09 2023 234.855 Twiddle Tables
+Sat Nov 11 11:14:09 2023 235.023 Twiddle Tables: 150 MiB (locked, spread: ?)
+Sat Nov 11 11:14:09 2023 235.023 I/O Buffers
+Sat Nov 11 11:14:09 2023 235.156 I/O Buffers: 512 MiB (locked, spread: ?)
+Sat Nov 11 11:14:09 2023 235.156 Begin Computation
+Sat Nov 11 11:14:09 2023 235.156 8 ArcSinlemn( 1/2 ):
+Sat Nov 11 11:14:09 2023 235.156 Series CommonP2B3... 830,482,023,890 terms (Expansion Factor = 20.826)
+Sat Nov 11 11:14:09 2023 235.156 Series: A ( 234 ) 0.000%
+Sat Nov 11 11:14:10 2023 235.398 Series: A ( 233 ) 0.000%
+Sat Nov 11 11:14:10 2023 236.054 Series: A ( 232 ) 0.000%
+Sat Nov 11 11:14:11 2023 236.758 Series: A ( 231 ) 0.001%
+Sat Nov 11 11:14:12 2023 237.503 Series: A ( 230 ) 0.001%
+Sat Nov 11 11:14:12 2023 238.304 Series: A ( 229 ) 0.001%
+Sat Nov 11 11:14:13 2023 239.108 Series: A ( 228 ) 0.002%
+Sat Nov 11 11:14:14 2023 239.958 Series: A ( 227 ) 0.002%
+Sat Nov 11 11:14:15 2023 240.830 Series: A ( 226 ) 0.002%
+Sat Nov 11 11:14:16 2023 241.715 Series: A ( 225 ) 0.002%
+Sat Nov 11 11:14:17 2023 242.617 Series: A ( 224 ) 0.003%
+Sat Nov 11 11:14:18 2023 243.550 Series: A ( 223 ) 0.003%
+Sat Nov 11 11:14:19 2023 244.511 Series: A ( 222 ) 0.003%
+Sat Nov 11 11:14:20 2023 245.467 Series: A ( 221 ) 0.003%
+Sat Nov 11 11:14:21 2023 246.447 Series: A ( 220 ) 0.004%
+Sat Nov 11 11:14:22 2023 247.420 Series: A ( 219 ) 0.004%
+Sat Nov 11 11:14:23 2023 248.424 Series: A ( 218 ) 0.004%
+Sat Nov 11 11:14:24 2023 249.481 Series: A ( 217 ) 0.005%
+Sat Nov 11 11:14:25 2023 250.514 Series: A ( 216 ) 0.005%
+Sat Nov 11 11:14:26 2023 251.582 Series: A ( 215 ) 0.005%
+Sat Nov 11 11:14:27 2023 252.639 Series: A ( 214 ) 0.005%
+Sat Nov 11 11:14:28 2023 253.692 Series: A ( 213 ) 0.006%
+Sat Nov 11 11:14:29 2023 254.769 Series: E ( 212 ) 0.006%
+Sat Nov 11 11:14:30 2023 255.838 Series: E ( 211 ) 0.006%
+Sat Nov 11 11:14:31 2023 257.044 Series: E ( 210 ) 0.007%
+Sat Nov 11 11:14:32 2023 258.255 Series: E ( 209 ) 0.007%
+Sat Nov 11 11:14:34 2023 259.519 Series: E ( 208 ) 0.007%
+Sat Nov 11 11:14:35 2023 260.890 Series: E ( 207 ) 0.008%
+Sat Nov 11 11:14:36 2023 262.252 Series: E ( 206 ) 0.008%
+Sat Nov 11 11:14:38 2023 263.731 Series: E ( 205 ) 0.008%
+Sat Nov 11 11:14:39 2023 265.251 Series: E ( 204 ) 0.009%
+Sat Nov 11 11:14:41 2023 267.021 Series: E ( 203 ) 0.009%
+Sat Nov 11 11:14:43 2023 268.825 Series: E ( 202 ) 0.009%
+Sat Nov 11 11:14:45 2023 270.787 Series: E ( 201 ) 0.010%
+Sat Nov 11 11:14:47 2023 272.821 Series: E ( 200 ) 0.010%
+Sat Nov 11 11:14:49 2023 274.893 Series: E ( 199 ) 0.011%
+Sat Nov 11 11:14:51 2023 277.084 Series: E ( 198 ) 0.011%
+Sat Nov 11 11:14:53 2023 279.336 Series: E ( 197 ) 0.012%
+Sat Nov 11 11:14:56 2023 281.697 Series: E ( 196 ) 0.012%
+Sat Nov 11 11:14:58 2023 284.199 Series: E ( 195 ) 0.013%
+Sat Nov 11 11:15:01 2023 286.862 Series: E ( 194 ) 0.014%
+Sat Nov 11 11:15:04 2023 289.560 Series: E ( 193 ) 0.014%
+Sat Nov 11 11:15:07 2023 292.492 Series: E ( 192 ) 0.015%
+Sat Nov 11 11:15:10 2023 295.461 Series: E ( 191 ) 0.016%
+Sat Nov 11 11:15:13 2023 298.650 Series: E ( 190 ) 0.016%
+Sat Nov 11 11:15:16 2023 301.951 Series: E ( 189 ) 0.017%
+Sat Nov 11 11:15:20 2023 305.577 Series: E ( 188 ) 0.018%
+Sat Nov 11 11:15:24 2023 309.408 Series: E ( 187 ) 0.019%
+Sat Nov 11 11:15:28 2023 313.548 Series: E ( 186 ) 0.020%
+Sat Nov 11 11:15:32 2023 317.917 Series: E ( 185 ) 0.021%
+Sat Nov 11 11:15:37 2023 322.507 Series: E ( 184 ) 0.021%
+Sat Nov 11 11:15:41 2023 327.199 Series: E ( 183 ) 0.022%
+Sat Nov 11 11:15:46 2023 332.217 Series: E ( 182 ) 0.024%
+Sat Nov 11 11:15:51 2023 337.241 Series: E ( 181 ) 0.025%
+Sat Nov 11 11:15:57 2023 342.390 Series: E ( 180 ) 0.026%
+Sat Nov 11 11:16:02 2023 348.148 Series: E ( 179 ) 0.027%
+Sat Nov 11 11:16:08 2023 354.025 Series: E ( 178 ) 0.028%
+Sat Nov 11 11:16:14 2023 360.225 Series: E ( 177 ) 0.029%
+Sat Nov 11 11:16:21 2023 366.597 Series: E ( 176 ) 0.031%
+Sat Nov 11 11:16:27 2023 373.172 Series: E ( 175 ) 0.032%
+Sat Nov 11 11:16:34 2023 380.212 Series: E ( 174 ) 0.034%
+Sat Nov 11 11:16:42 2023 387.738 Series: E ( 173 ) 0.035%
+Sat Nov 11 11:16:50 2023 396.103 Series: E ( 172 ) 0.037%
+Sat Nov 11 11:16:59 2023 404.703 Series: E ( 171 ) 0.039%
+Sat Nov 11 11:17:08 2023 414.246 Series: E ( 170 ) 0.041%
+Sat Nov 11 11:17:18 2023 424.193 Series: E ( 169 ) 0.042%
+Sat Nov 11 11:17:28 2023 434.117 Series: E ( 168 ) 0.044%
+Sat Nov 11 11:17:39 2023 444.786 Series: E ( 167 ) 0.046%
+Sat Nov 11 11:17:50 2023 455.585 Series: E ( 166 ) 0.049%
+Sat Nov 11 11:18:01 2023 466.753 Series: E ( 165 ) 0.051%
+Sat Nov 11 11:18:13 2023 479.194 Series: E ( 164 ) 0.053%
+Sat Nov 11 11:18:26 2023 491.761 Series: E ( 163 ) 0.056%
+Sat Nov 11 11:18:39 2023 504.846 Series: E ( 162 ) 0.058%
+Sat Nov 11 11:18:53 2023 518.715 Series: E ( 161 ) 0.061%
+Sat Nov 11 11:19:07 2023 532.718 Series: E ( 160 ) 0.064%
+Sat Nov 11 11:19:22 2023 548.123 Series: E ( 159 ) 0.067%
+Sat Nov 11 11:19:38 2023 563.898 Series: E ( 158 ) 0.070%
+Sat Nov 11 11:19:56 2023 581.747 Series: E ( 157 ) 0.073%
+Sat Nov 11 11:20:14 2023 599.934 Series: E ( 156 ) 0.076%
+Sat Nov 11 11:20:34 2023 620.148 Series: E ( 155 ) 0.080%
+Sat Nov 11 11:20:55 2023 640.868 Series: E ( 154 ) 0.084%
+Sat Nov 11 11:21:16 2023 662.261 Series: E ( 153 ) 0.088%
+Sat Nov 11 11:21:39 2023 685.085 Series: E ( 152 ) 0.092%
+Sat Nov 11 11:22:02 2023 708.123 Series: E ( 151 ) 0.096%
+Sat Nov 11 11:22:26 2023 731.816 Series: E ( 150 ) 0.100%
+Sat Nov 11 11:22:52 2023 757.877 Series: E ( 149 ) 0.105%
+Sat Nov 11 11:23:19 2023 785.230 Series: E ( 148 ) 0.110%
+Sat Nov 11 11:23:48 2023 813.374 Series: E ( 147 ) 0.115%
+Sat Nov 11 11:24:17 2023 843.052 Series: E ( 146 ) 0.120%
+Sat Nov 11 11:24:48 2023 873.349 Series: E ( 145 ) 0.126%
+Sat Nov 11 11:25:22 2023 907.926 Series: E ( 144 ) 0.132%
+Sat Nov 11 11:25:56 2023 941.771 Series: E ( 143 ) 0.138%
+Sat Nov 11 11:26:33 2023 978.590 Series: E ( 142 ) 0.144%
+Sat Nov 11 11:27:10 2023 1016.299 Series: E ( 141 ) 0.151%
+Sat Nov 11 11:27:53 2023 1058.858 Series: E ( 140 ) 0.158%
+Sat Nov 11 11:28:36 2023 1102.183 Series: E ( 139 ) 0.165%
+Sat Nov 11 11:29:21 2023 1146.872 Series: E ( 138 ) 0.173%
+Sat Nov 11 11:30:07 2023 1192.617 Series: E ( 137 ) 0.181%
+Sat Nov 11 11:30:57 2023 1242.621 Series: E ( 136 ) 0.189%
+Sat Nov 11 11:31:47 2023 1292.478 Series: E ( 135 ) 0.198%
+Sat Nov 11 11:32:37 2023 1343.104 Series: E ( 134 ) 0.207%
+Sat Nov 11 11:33:37 2023 1402.770 Series: E ( 133 ) 0.217%
+Sat Nov 11 11:34:38 2023 1463.399 Series: E ( 132 ) 0.227%
+Sat Nov 11 11:35:43 2023 1528.778 Series: E ( 131 ) 0.238%
+Sat Nov 11 11:36:48 2023 1594.085 Series: E ( 130 ) 0.249%
+Sat Nov 11 11:37:57 2023 1663.275 Series: E ( 129 ) 0.260%
+Sat Nov 11 11:39:10 2023 1735.467 Series: E ( 128 ) 0.272%
+Sat Nov 11 11:40:24 2023 1809.877 Series: E ( 127 ) 0.285%
+Sat Nov 11 11:41:44 2023 1890.292 Series: E ( 126 ) 0.298%
+Sat Nov 11 11:43:10 2023 1975.711 Series: E ( 125 ) 0.312%
+Sat Nov 11 11:44:42 2023 2067.534 Series: E ( 124 ) 0.327%
+Sat Nov 11 11:46:20 2023 2165.798 Series: E ( 123 ) 0.342%
+Sat Nov 11 11:48:00 2023 2266.229 Series: E ( 122 ) 0.358%
+Sat Nov 11 11:49:50 2023 2376.195 Series: E ( 121 ) 0.374%
+Sat Nov 11 11:51:36 2023 2482.159 Series: E ( 120 ) 0.392%
+Sat Nov 11 11:53:27 2023 2592.810 Series: E ( 119 ) 0.410%
+Sat Nov 11 11:55:34 2023 2719.615 Series: E ( 118 ) 0.429%
+Sat Nov 11 11:57:42 2023 2847.499 Series: E ( 117 ) 0.449%
+Sat Nov 11 12:00:00 2023 2985.717 Series: E ( 116 ) 0.469%
+Sat Nov 11 12:02:21 2023 3126.735 Series: E ( 115 ) 0.491%
+Sat Nov 11 12:04:45 2023 3270.466 Series: E ( 114 ) 0.514%
+Sat Nov 11 12:07:23 2023 3428.994 Series: E ( 113 ) 0.538%
+Sat Nov 11 12:10:06 2023 3591.912 Series: E ( 112 ) 0.563%
+Sat Nov 11 12:13:01 2023 3766.769 Series: E ( 111 ) 0.589%
+Sat Nov 11 12:16:03 2023 3949.003 Series: E ( 110 ) 0.616%
+Sat Nov 11 12:19:20 2023 4145.970 Series: E ( 109 ) 0.645%
+Sat Nov 11 12:22:42 2023 4347.992 Series: E ( 108 ) 0.675%
+Sat Nov 11 12:26:17 2023 4562.575 Series: E ( 107 ) 0.706%
+Sat Nov 11 12:30:11 2023 4796.724 Series: E ( 106 ) 0.739%
+Sat Nov 11 12:34:03 2023 5029.292 Series: E ( 105 ) 0.773%
+Sat Nov 11 12:38:08 2023 5273.540 Series: E ( 104 ) 0.809%
+Sat Nov 11 12:42:46 2023 5551.537 Series: E ( 103 ) 0.847%
+Sat Nov 11 12:47:22 2023 5827.472 Series: E ( 102 ) 0.886%
+Sat Nov 11 12:52:08 2023 6114.207 Series: E ( 101 ) 0.927%
+Sat Nov 11 12:57:16 2023 6421.906 Series: E ( 100 ) 0.970%
+Sat Nov 11 13:02:30 2023 6735.811 Series: E ( 99 ) 1.015%
+Sat Nov 11 13:08:15 2023 7080.354 Series: E ( 98 ) 1.062%
+Sat Nov 11 13:14:13 2023 7438.596 Series: E ( 97 ) 1.112%
+Sat Nov 11 13:20:27 2023 7813.316 Series: E ( 96 ) 1.163%
+Sat Nov 11 13:26:49 2023 8195.168 Series: E ( 95 ) 1.217%
+Sat Nov 11 13:34:10 2023 8636.064 Series: E ( 94 ) 1.274%
+Sat Nov 11 13:41:21 2023 9066.719 Series: E ( 93 ) 1.333%
+Sat Nov 11 13:49:16 2023 9542.005 Series: E ( 92 ) 1.395%
+Sat Nov 11 13:57:23 2023 10028.506 Series: E ( 91 ) 1.460%
+Sat Nov 11 14:05:41 2023 10526.379 Series: E ( 90 ) 1.528%
+Sat Nov 11 14:14:25 2023 11051.100 Series: E ( 89 ) 1.598%
+Sat Nov 11 14:23:35 2023 11600.824 Series: E ( 88 ) 1.673%
+Sat Nov 11 14:33:52 2023 12217.349 Series: E ( 87 ) 1.750%
+Sat Nov 11 14:43:57 2023 12823.258 Series: E ( 86 ) 1.832%
+Sat Nov 11 14:55:11 2023 13496.730 Series: E ( 85 ) 1.917%
+Sat Nov 11 15:06:26 2023 14171.871 Series: E ( 84 ) 2.006%
+Sat Nov 11 15:18:33 2023 14898.858 Series: E ( 83 ) 2.099%
+Sat Nov 11 15:30:55 2023 15641.121 Series: E ( 82 ) 2.196%
+Sat Nov 11 15:44:10 2023 16435.773 Series: E ( 81 ) 2.298%
+Sat Nov 11 15:58:02 2023 17267.814 Series: E ( 80 ) 2.405%
+Sat Nov 11 16:12:48 2023 18153.473 Series: E ( 79 ) 2.517%
+Sat Nov 11 16:28:13 2023 19078.696 Series: E ( 78 ) 2.634%
+Sat Nov 11 16:44:48 2023 20073.471 Series: E ( 77 ) 2.756%
+Sat Nov 11 17:01:37 2023 21082.971 Series: E ( 76 ) 2.884%
+Sat Nov 11 17:19:22 2023 22147.706 Series: E ( 75 ) 3.018%
+Sat Nov 11 17:37:49 2023 23255.009 Series: E ( 74 ) 3.158%
+Sat Nov 11 17:56:42 2023 24387.568 Series: E ( 73 ) 3.305%
+Sat Nov 11 18:17:37 2023 25642.687 Series: E ( 72 ) 3.459%
+Sat Nov 11 18:39:30 2023 26955.380 Series: E ( 71 ) 3.619%
+Sat Nov 11 19:03:33 2023 28399.139 Series: E ( 70 ) 3.787%
+Sat Nov 11 19:27:41 2023 29846.635 Series: E ( 69 ) 3.963%
+Sat Nov 11 19:52:22 2023 31328.166 Series: E ( 68 ) 4.148%
+Sat Nov 11 20:19:18 2023 32943.541 Series: E ( 67 ) 4.340%
+Sat Nov 11 20:46:36 2023 34581.380 Series: E ( 66 ) 4.542%
+Sat Nov 11 21:16:17 2023 36362.844 Series: E ( 65 ) 4.753%
+Sat Nov 11 21:46:08 2023 38153.950 Series: E ( 64 ) 4.974%
+Sat Nov 11 22:19:18 2023 40143.877 Series: E ( 63 ) 5.205%
+Sat Nov 11 22:53:39 2023 42205.263 Series: E ( 62 ) 5.447%
+Sat Nov 11 23:30:10 2023 44395.646 Series: E ( 61 ) 5.701%
+Sun Nov 12 00:08:14 2023 46679.396 Series: E ( 60 ) 5.966%
+Sun Nov 12 00:47:10 2023 49016.144 Series: E ( 59 ) 6.243%
+Sun Nov 12 01:26:51 2023 51396.924 Series: E ( 58 ) 6.534%
+Sun Nov 12 02:11:56 2023 54101.637 Series: E ( 57 ) 6.838%
+Sun Nov 12 02:59:03 2023 56928.812 Series: E ( 56 ) 7.156%
+Sun Nov 12 03:48:04 2023 59870.241 Series: E ( 55 ) 7.489%
+Sun Nov 12 04:39:12 2023 62937.475 Series: E ( 54 ) 7.837%
+Sun Nov 12 05:33:27 2023 66192.511 Series: S ( 53 ) 8.202%
+Sun Nov 12 06:37:22 2023 70027.515 Series: S ( 52 ) 8.584%
+Sun Nov 12 07:44:16 2023 74041.759 Series: S ( 51 ) 8.983%
+Sun Nov 12 08:53:44 2023 78209.931 Series: S ( 50 ) 9.402%
+Sun Nov 12 10:06:40 2023 82585.778 Series: S ( 49 ) 9.839%
+Sun Nov 12 11:28:45 2023 87511.048 Series: S ( 48 ) 10.298%
+Sun Nov 12 12:49:57 2023 92382.781 Series: S ( 47 ) 10.777%
+Sun Nov 12 14:15:08 2023 97493.364 Series: S ( 46 ) 11.279%
+Sun Nov 12 15:52:28 2023 103333.773 Series: S ( 45 ) 11.805%
+Sun Nov 12 17:33:00 2023 109365.442 Series: S ( 44 ) 12.355%
+Sun Nov 12 19:14:57 2023 115483.250 Series: S ( 43 ) 12.931%
+Sun Nov 12 21:09:40 2023 122365.718 Series: S ( 42 ) 13.534%
+Sun Nov 12 23:07:03 2023 129408.432 Series: S ( 41 ) 14.165%
+Mon Nov 13 01:06:16 2023 136561.920 Series: S ( 40 ) 14.826%
+Mon Nov 13 03:21:33 2023 144678.803 Series: S ( 39 ) 15.518%
+Mon Nov 13 05:39:25 2023 152950.720 Series: S ( 38 ) 16.243%
+Mon Nov 13 08:14:49 2023 162274.682 Series: S ( 37 ) 17.001%
+Mon Nov 13 10:50:04 2023 171589.570 Series: S ( 36 ) 17.795%
+Mon Nov 13 13:32:11 2023 181317.315 Series: S ( 35 ) 18.627%
+Mon Nov 13 16:46:07 2023 192952.663 Series: S ( 34 ) 19.497%
+Mon Nov 13 21:16:29 2023 209174.851 Series: S ( 33 ) 20.409%
+Tue Nov 14 01:56:09 2023 225954.667 Series: S ( 32 ) 21.363%
+Tue Nov 14 06:54:55 2023 243881.064 Series: S ( 31 ) 22.363%
+Tue Nov 14 12:26:45 2023 263790.413 Series: S ( 30 ) 23.410%
+Tue Nov 14 18:34:37 2023 285862.810 Series: S ( 29 ) 24.507%
+Wed Nov 15 01:15:03 2023 309888.531 Series: S ( 28 ) 25.655%
+Wed Nov 15 07:16:40 2023 331585.834 Series: S ( 27 ) 26.858%
+Wed Nov 15 13:25:06 2023 353692.245 Series: S ( 26 ) 28.118%
+Wed Nov 15 20:00:21 2023 377406.693 Series: S ( 25 ) 29.438%
+Thu Nov 16 03:32:44 2023 404549.795 Series: S ( 24 ) 30.821%
+Thu Nov 16 11:32:21 2023 433326.665 Series: S ( 23 ) 32.269%
+Thu Nov 16 21:09:42 2023 467968.086 Series: S ( 22 ) 33.787%
+Fri Nov 17 07:12:10 2023 504116.296 Series: S ( 21 ) 35.378%
+Fri Nov 17 15:39:44 2023 534570.059 Series: S ( 20 ) 37.045%
+Sat Nov 18 00:32:25 2023 566530.757 Series: S ( 19 ) 38.792%
+Sat Nov 18 12:15:16 2023 608702.115 Series: S ( 18 ) 40.623%
+Sun Nov 19 03:24:13 2023 663238.840 Series: S ( 17 ) 42.543%
+Sun Nov 19 18:06:09 2023 716154.461 Series: S ( 16 ) 44.556%
+Mon Nov 20 09:12:31 2023 770536.386 Series: S ( 15 ) 46.667%
+Tue Nov 21 02:27:39 2023 832644.981 Series: S ( 14 ) 48.881%
+Tue Nov 21 18:41:18 2023 891064.283 Series: S ( 13 ) 51.203%
+Wed Nov 22 13:38:44 2023 959309.686 Series: S ( 12 ) 53.640%
+Thu Nov 23 08:55:11 2023 1028697.258 Series: S ( 11 ) 56.198%
+Fri Nov 24 04:42:36 2023 1099941.736 Series: S ( 10 ) 58.883%
+Sat Nov 25 03:23:45 2023 1181610.780 Series: S ( 9 ) 61.703%
+Sun Nov 26 01:47:09 2023 1262215.151 Series: S ( 8 ) 64.665%
+Mon Nov 27 02:00:39 2023 1349424.525 Series: S ( 7 ) 67.780%
+Tue Nov 28 04:27:47 2023 1444653.057 Series: S ( 6 ) 71.055%
+Wed Nov 29 07:19:08 2023 1541333.521 Series: S ( 5 ) 74.503%
+Thu Nov 30 11:11:31 2023 1641676.594 Series: S ( 4 ) 78.136%
+Fri Dec 1 20:05:59 2023 1760145.186 Series: S ( 3 ) 81.969%
+Sun Dec 3 09:06:15 2023 1893360.917 Series: S ( 2 ) 86.022%
+Mon Dec 4 20:12:17 2023 2019723.150 Series: S ( 1 ) 90.323%
+Wed Dec 6 13:02:57 2023 2166762.513 Series: S ( 0 ) 94.918%
+Fri Dec 8 07:02:38 2023 2317943.638 Finishing Series
+Fri Dec 8 08:04:26 2023 2321652.008 Large Division
+Fri Dec 8 18:32:33 2023 2359338.458 4 ArcSinlemn( 7/23 ):
+Fri Dec 8 18:32:33 2023 2359338.458 Series CommonP2B3... 483,905,500,582 terms (Expansion Factor = 13.961)
+Fri Dec 8 18:32:33 2023 2359338.458 Series: A ( 158 ) 0.000%
+Fri Dec 8 18:32:33 2023 2359338.559 Series: A ( 157 ) 0.000%
+Fri Dec 8 18:32:33 2023 2359339.163 Series: A ( 156 ) 0.000%
+Fri Dec 8 18:32:34 2023 2359339.891 Series: A ( 155 ) 0.001%
+Fri Dec 8 18:32:35 2023 2359340.698 Series: A ( 154 ) 0.001%
+Fri Dec 8 18:32:36 2023 2359341.522 Series: A ( 153 ) 0.002%
+Fri Dec 8 18:32:37 2023 2359342.372 Series: A ( 152 ) 0.002%
+Fri Dec 8 18:32:37 2023 2359343.265 Series: A ( 151 ) 0.003%
+Fri Dec 8 18:32:38 2023 2359344.186 Series: A ( 150 ) 0.003%
+Fri Dec 8 18:32:39 2023 2359345.133 Series: A ( 149 ) 0.003%
+Fri Dec 8 18:32:40 2023 2359346.093 Series: A ( 148 ) 0.004%
+Fri Dec 8 18:32:41 2023 2359347.068 Series: A ( 147 ) 0.004%
+Fri Dec 8 18:32:42 2023 2359348.115 Series: A ( 146 ) 0.005%
+Fri Dec 8 18:32:43 2023 2359349.176 Series: A ( 145 ) 0.005%
+Fri Dec 8 18:32:44 2023 2359350.226 Series: A ( 144 ) 0.006%
+Fri Dec 8 18:32:45 2023 2359351.283 Series: E ( 143 ) 0.006%
+Fri Dec 8 18:32:47 2023 2359352.343 Series: E ( 142 ) 0.006%
+Fri Dec 8 18:32:48 2023 2359353.572 Series: E ( 141 ) 0.007%
+Fri Dec 8 18:32:49 2023 2359354.825 Series: E ( 140 ) 0.007%
+Fri Dec 8 18:32:50 2023 2359356.182 Series: E ( 139 ) 0.008%
+Fri Dec 8 18:32:52 2023 2359357.606 Series: E ( 138 ) 0.008%
+Fri Dec 8 18:32:53 2023 2359359.223 Series: E ( 137 ) 0.009%
+Fri Dec 8 18:32:55 2023 2359361.011 Series: E ( 136 ) 0.010%
+Fri Dec 8 18:32:57 2023 2359362.937 Series: E ( 135 ) 0.010%
+Fri Dec 8 18:32:59 2023 2359365.057 Series: E ( 134 ) 0.011%
+Fri Dec 8 18:33:01 2023 2359367.239 Series: E ( 133 ) 0.012%
+Fri Dec 8 18:33:04 2023 2359369.539 Series: E ( 132 ) 0.012%
+Fri Dec 8 18:33:06 2023 2359372.050 Series: E ( 131 ) 0.013%
+Fri Dec 8 18:33:09 2023 2359374.729 Series: E ( 130 ) 0.014%
+Fri Dec 8 18:33:12 2023 2359377.649 Series: E ( 129 ) 0.015%
+Fri Dec 8 18:33:15 2023 2359380.667 Series: E ( 128 ) 0.016%
+Fri Dec 8 18:33:18 2023 2359383.983 Series: E ( 127 ) 0.017%
+Fri Dec 8 18:33:22 2023 2359387.806 Series: E ( 126 ) 0.019%
+Fri Dec 8 18:33:26 2023 2359391.890 Series: E ( 125 ) 0.020%
+Fri Dec 8 18:33:30 2023 2359396.322 Series: E ( 124 ) 0.021%
+Fri Dec 8 18:33:35 2023 2359401.043 Series: E ( 123 ) 0.023%
+Fri Dec 8 18:33:40 2023 2359406.050 Series: E ( 122 ) 0.024%
+Fri Dec 8 18:33:45 2023 2359411.337 Series: E ( 121 ) 0.026%
+Fri Dec 8 18:33:51 2023 2359417.161 Series: E ( 120 ) 0.028%
+Fri Dec 8 18:33:57 2023 2359423.264 Series: E ( 119 ) 0.030%
+Fri Dec 8 18:34:04 2023 2359429.668 Series: E ( 118 ) 0.032%
+Fri Dec 8 18:34:11 2023 2359436.747 Series: E ( 117 ) 0.034%
+Fri Dec 8 18:34:19 2023 2359444.725 Series: E ( 116 ) 0.037%
+Fri Dec 8 18:34:27 2023 2359453.230 Series: E ( 115 ) 0.039%
+Fri Dec 8 18:34:37 2023 2359462.610 Series: E ( 114 ) 0.042%
+Fri Dec 8 18:34:47 2023 2359472.745 Series: E ( 113 ) 0.045%
+Fri Dec 8 18:34:58 2023 2359483.516 Series: E ( 112 ) 0.048%
+Fri Dec 8 18:35:09 2023 2359494.635 Series: E ( 111 ) 0.051%
+Fri Dec 8 18:35:21 2023 2359507.111 Series: E ( 110 ) 0.055%
+Fri Dec 8 18:35:34 2023 2359519.935 Series: E ( 109 ) 0.059%
+Fri Dec 8 18:35:48 2023 2359533.796 Series: E ( 108 ) 0.063%
+Fri Dec 8 18:36:03 2023 2359548.623 Series: E ( 107 ) 0.067%
+Fri Dec 8 18:36:19 2023 2359564.730 Series: E ( 106 ) 0.072%
+Fri Dec 8 18:36:37 2023 2359582.498 Series: E ( 105 ) 0.077%
+Fri Dec 8 18:36:57 2023 2359602.492 Series: E ( 104 ) 0.082%
+Fri Dec 8 18:37:18 2023 2359623.680 Series: E ( 103 ) 0.088%
+Fri Dec 8 18:37:41 2023 2359646.585 Series: E ( 102 ) 0.094%
+Fri Dec 8 18:38:04 2023 2359670.064 Series: E ( 101 ) 0.100%
+Fri Dec 8 18:38:30 2023 2359695.732 Series: E ( 100 ) 0.107%
+Fri Dec 8 18:38:58 2023 2359723.410 Series: E ( 99 ) 0.115%
+Fri Dec 8 18:39:27 2023 2359753.238 Series: E ( 98 ) 0.123%
+Fri Dec 8 18:39:59 2023 2359785.124 Series: E ( 97 ) 0.131%
+Fri Dec 8 18:40:33 2023 2359818.671 Series: E ( 96 ) 0.141%
+Fri Dec 8 18:41:10 2023 2359856.126 Series: E ( 95 ) 0.150%
+Fri Dec 8 18:41:50 2023 2359895.983 Series: E ( 94 ) 0.161%
+Fri Dec 8 18:42:34 2023 2359940.119 Series: E ( 93 ) 0.172%
+Fri Dec 8 18:43:22 2023 2359988.091 Series: E ( 92 ) 0.184%
+Fri Dec 8 18:44:13 2023 2360038.360 Series: E ( 91 ) 0.197%
+Fri Dec 8 18:45:06 2023 2360092.111 Series: E ( 90 ) 0.210%
+Fri Dec 8 18:46:06 2023 2360151.554 Series: E ( 89 ) 0.225%
+Fri Dec 8 18:47:09 2023 2360214.931 Series: E ( 88 ) 0.241%
+Fri Dec 8 18:48:16 2023 2360281.492 Series: E ( 87 ) 0.257%
+Fri Dec 8 18:49:28 2023 2360354.198 Series: E ( 86 ) 0.275%
+Fri Dec 8 18:50:47 2023 2360432.342 Series: E ( 85 ) 0.294%
+Fri Dec 8 18:52:13 2023 2360519.254 Series: E ( 84 ) 0.315%
+Fri Dec 8 18:53:45 2023 2360611.124 Series: E ( 83 ) 0.337%
+Fri Dec 8 18:55:24 2023 2360709.515 Series: E ( 82 ) 0.360%
+Fri Dec 8 18:57:12 2023 2360817.601 Series: E ( 81 ) 0.385%
+Fri Dec 8 18:59:00 2023 2360925.794 Series: E ( 80 ) 0.412%
+Fri Dec 8 19:01:07 2023 2361053.162 Series: E ( 79 ) 0.441%
+Fri Dec 8 19:03:23 2023 2361188.496 Series: E ( 78 ) 0.471%
+Fri Dec 8 19:05:47 2023 2361332.652 Series: E ( 77 ) 0.504%
+Fri Dec 8 19:08:26 2023 2361492.272 Series: E ( 76 ) 0.539%
+Fri Dec 8 19:11:14 2023 2361659.413 Series: E ( 75 ) 0.577%
+Fri Dec 8 19:14:09 2023 2361834.870 Series: E ( 74 ) 0.617%
+Fri Dec 8 19:17:25 2023 2362030.952 Series: E ( 73 ) 0.660%
+Fri Dec 8 19:21:01 2023 2362247.335 Series: E ( 72 ) 0.706%
+Fri Dec 8 19:24:55 2023 2362481.072 Series: E ( 71 ) 0.755%
+Fri Dec 8 19:28:44 2023 2362710.165 Series: E ( 70 ) 0.807%
+Fri Dec 8 19:33:17 2023 2362983.190 Series: E ( 69 ) 0.863%
+Fri Dec 8 19:37:59 2023 2363264.952 Series: E ( 68 ) 0.924%
+Fri Dec 8 19:43:07 2023 2363572.550 Series: E ( 67 ) 0.988%
+Fri Dec 8 19:48:30 2023 2363896.326 Series: E ( 66 ) 1.056%
+Fri Dec 8 19:54:18 2023 2364243.769 Series: E ( 65 ) 1.130%
+Fri Dec 8 20:00:49 2023 2364635.129 Series: E ( 64 ) 1.209%
+Fri Dec 8 20:08:00 2023 2365066.151 Series: E ( 63 ) 1.293%
+Fri Dec 8 20:15:35 2023 2365521.000 Series: E ( 62 ) 1.383%
+Fri Dec 8 20:23:44 2023 2366009.348 Series: E ( 61 ) 1.479%
+Fri Dec 8 20:32:06 2023 2366512.234 Series: E ( 60 ) 1.582%
+Fri Dec 8 20:41:17 2023 2367062.904 Series: E ( 59 ) 1.692%
+Fri Dec 8 20:51:13 2023 2367659.126 Series: E ( 58 ) 1.809%
+Fri Dec 8 21:02:06 2023 2368312.222 Series: E ( 57 ) 1.935%
+Fri Dec 8 21:13:14 2023 2368979.941 Series: E ( 56 ) 2.070%
+Fri Dec 8 21:25:58 2023 2369744.089 Series: E ( 55 ) 2.214%
+Fri Dec 8 21:39:13 2023 2370538.913 Series: E ( 54 ) 2.368%
+Fri Dec 8 21:53:48 2023 2371414.253 Series: E ( 53 ) 2.533%
+Fri Dec 8 22:09:19 2023 2372345.283 Series: E ( 52 ) 2.709%
+Fri Dec 8 22:26:31 2023 2373376.567 Series: E ( 51 ) 2.897%
+Fri Dec 8 22:44:19 2023 2374444.984 Series: E ( 50 ) 3.099%
+Fri Dec 8 23:02:39 2023 2375544.407 Series: E ( 49 ) 3.315%
+Fri Dec 8 23:23:48 2023 2376813.603 Series: E ( 48 ) 3.546%
+Fri Dec 8 23:46:41 2023 2378186.582 Series: E ( 47 ) 3.792%
+Sat Dec 9 00:10:49 2023 2379634.924 Series: E ( 46 ) 4.056%
+Sat Dec 9 00:37:14 2023 2381219.736 Series: E ( 45 ) 4.339%
+Sat Dec 9 01:05:09 2023 2382894.633 Series: E ( 44 ) 4.641%
+Sat Dec 9 01:34:26 2023 2384651.511 Series: E ( 43 ) 4.964%
+Sat Dec 9 02:07:17 2023 2386623.300 Series: E ( 42 ) 5.310%
+Sat Dec 9 02:42:47 2023 2388752.771 Series: E ( 41 ) 5.680%
+Sat Dec 9 03:20:57 2023 2391043.078 Series: E ( 40 ) 6.075%
+Sat Dec 9 04:01:18 2023 2393464.217 Series: E ( 39 ) 6.498%
+Sat Dec 9 04:46:52 2023 2396198.094 Series: E ( 38 ) 6.951%
+Sat Dec 9 05:34:12 2023 2399037.694 Series: E ( 37 ) 7.436%
+Sat Dec 9 06:25:49 2023 2402134.488 Series: E ( 36 ) 7.954%
+Sat Dec 9 07:21:46 2023 2405492.021 Series: S ( 35 ) 8.508%
+Sat Dec 9 08:30:02 2023 2409588.159 Series: S ( 34 ) 9.101%
+Sat Dec 9 09:43:31 2023 2413996.893 Series: S ( 33 ) 9.736%
+Sat Dec 9 11:06:27 2023 2418973.198 Series: S ( 32 ) 10.415%
+Sat Dec 9 12:32:13 2023 2424118.545 Series: S ( 31 ) 11.142%
+Sat Dec 9 14:08:27 2023 2429893.217 Series: S ( 30 ) 11.919%
+Sat Dec 9 15:52:02 2023 2436107.750 Series: S ( 29 ) 12.751%
+Sat Dec 9 17:46:03 2023 2442949.116 Series: S ( 28 ) 13.642%
+Sat Dec 9 19:48:51 2023 2450316.393 Series: S ( 27 ) 14.595%
+Sat Dec 9 21:59:07 2023 2458132.788 Series: S ( 26 ) 15.614%
+Sun Dec 10 00:29:02 2023 2467128.076 Series: S ( 25 ) 16.706%
+Sun Dec 10 03:17:13 2023 2477219.262 Series: S ( 24 ) 17.874%
+Sun Dec 10 06:15:39 2023 2487924.566 Series: S ( 23 ) 19.124%
+Sun Dec 10 10:43:31 2023 2503996.698 Series: S ( 22 ) 20.462%
+Sun Dec 10 16:28:16 2023 2524681.601 Series: S ( 21 ) 21.895%
+Sun Dec 10 22:18:10 2023 2545676.114 Series: S ( 20 ) 23.429%
+Mon Dec 11 05:04:37 2023 2570063.213 Series: S ( 19 ) 25.072%
+Mon Dec 11 12:09:28 2023 2595553.558 Series: S ( 18 ) 26.830%
+Mon Dec 11 19:47:56 2023 2623061.548 Series: S ( 17 ) 28.714%
+Tue Dec 12 03:56:40 2023 2652385.775 Series: S ( 16 ) 30.731%
+Tue Dec 12 12:39:22 2023 2683747.403 Series: S ( 15 ) 32.892%
+Tue Dec 12 22:32:19 2023 2719324.538 Series: S ( 14 ) 35.208%
+Wed Dec 13 08:23:29 2023 2754795.137 Series: S ( 13 ) 37.689%
+Wed Dec 13 19:55:21 2023 2796306.686 Series: S ( 12 ) 40.348%
+Thu Dec 14 10:50:00 2023 2849985.435 Series: S ( 11 ) 43.198%
+Fri Dec 15 01:35:05 2023 2903090.853 Series: S ( 10 ) 46.255%
+Fri Dec 15 17:55:18 2023 2961903.824 Series: S ( 9 ) 49.534%
+Sat Dec 16 11:19:39 2023 3024565.176 Series: S ( 8 ) 53.052%
+Sun Dec 17 06:43:59 2023 3094425.115 Series: S ( 7 ) 56.829%
+Mon Dec 18 03:54:05 2023 3170630.668 Series: S ( 6 ) 60.886%
+Tue Dec 19 02:51:50 2023 3253296.326 Series: S ( 5 ) 65.247%
+Wed Dec 20 03:30:16 2023 3342001.503 Series: S ( 4 ) 69.938%
+Thu Dec 21 05:00:40 2023 3433826.005 Series: S ( 3 ) 74.992%
+Fri Dec 22 08:42:47 2023 3533552.661 Series: S ( 2 ) 80.446%
+Sat Dec 23 21:31:13 2023 3666058.695 Series: S ( 1 ) 86.351%
+Mon Dec 25 09:33:11 2023 3795777.271 Series: S ( 0 ) 92.783%
+Wed Dec 27 03:14:33 2023 3945858.755 Finishing Series
+Wed Dec 27 04:11:58 2023 3949304.029 Large Division
+Wed Dec 27 15:24:54 2023 3989680.324 Accumulate
+Wed Dec 27 15:49:57 2023 3991183.275 Writing Hexadecimal Digits
+Wed Dec 27 16:17:14 2023 3992819.921 Base Converting
+Thu Dec 28 02:36:38 2023 4029983.994 Writing Decimal Digits
+Thu Dec 28 03:12:36 2023 4032141.757 Verifying Base Conversion
+Thu Dec 28 08:47:00 2023 4052206.197 Verifying Binary Output
+Thu Dec 28 08:56:05 2023 4052751.171 Verifying Decimal Output
+Thu Dec 28 08:59:19 2023 4052945.264 Verifying Hexadecimal Output
+Thu Dec 28 09:02:13 2023 4053118.663 End Computation
+
+----
+
+Checksum0: 3555d598bbd69b7f79a2fe797a68e22a603c277970e3d52905490ae93cfbaecc0ac203eff6cf2204cc22c166e18544c9a6971ac9f23a44aae03da47280597818
+Checksum1: ae7be6adf3a16fa8ad49f0116dd264c77cdf369757fe588a922fd73a23bac1f0a648aeac1f57aaa2b6f62c911a1c0b7548bb3f132c84d5a921d33aeda735ffa8
diff --git a/academic/bigcomp/y-cruncher/validation/Log(2) - 20230626-140829.txt b/academic/bigcomp/y-cruncher/validation/Log(2) - 20230626-140829.txt
new file mode 100644
index 0000000..ecc8e6b
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Log(2) - 20230626-140829.txt
@@ -0,0 +1,388 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.7.10 Build 9513
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,955,488 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Log(2)
+Algorithm: Primary Machin-like Formula (3 terms)
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,722,327,744 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 1,763,257,041,064 (1.60 TiB)
+Logical Peak Disk Usage: 5,634,144,853,912 (5.12 TiB)
+Logical Disk Bytes Read: 332,154,409,424,876 ( 302 TiB)
+Logical Disk Bytes Written: 291,101,758,194,716 ( 265 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "log"
+ Argument : 2
+ Algorithm : "machin-primary"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Wed Jun 14 09:20:34 2023
+End Date: Mon Jun 26 14:07:42 2023
+
+Total Computation Time: 1035293.377 seconds
+Start-to-End Wall Time: 1054028.227 seconds
+
+CPU Utilization: 2348.05 % + 2.38 % kernel overhead
+Multi-core Efficiency: 48.92 % + 0.05 % kernel overhead
+
+Last Decimal Digits:
+4109983528 3595607854 3233168884 9393282830 5820034479 : 1,000,000,000,000
+8409665114 1411280839 1787225919 9554690188 4997630221 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+c413121105 bd68fcebda a92aaa68d5 7c032ad93e 6737f60769 : 830,482,023,750
+fac332183e 8455
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): 4136036a3f9568cf46958330d8f2de292e2f319c9c109da58d84b1bb0b714644
+
+Dec Counts: {99999928452,100000059319,99999703213,100000025946,99999808900,100000108497,100000027890,100000321139,99999883799,100000132895}
+Hex Counts: {51905200192,51905257422,51905287594,51905107299,51905058905,51905228435,51904790450,51905348890,51904999387,51905484330,51905156718,51905067135,51904560508,51904971048,51905142147,51905363304}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 1621707385117354730
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 23715969597210282
+
+Spot Check: Good through 1,000,000,000,000
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 129,234,509
+Reference Clock 2: 8,884,235
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Wed Jun 14 09:20:34 2023 0.318 Working Memory
+Wed Jun 14 09:26:23 2023 349.675 Working Memory: 479 GiB (locked, spread: ?)
+Wed Jun 14 09:26:23 2023 349.677 Twiddle Tables
+Wed Jun 14 09:26:23 2023 349.806 Twiddle Tables: 131 MiB (locked, spread: ?)
+Wed Jun 14 09:26:23 2023 349.806 I/O Buffers
+Wed Jun 14 09:26:24 2023 349.970 I/O Buffers: 512 MiB (locked, spread: ?)
+Wed Jun 14 09:26:24 2023 349.970 Begin Computation
+Wed Jun 14 09:26:24 2023 349.970 18 ArcCoth( 26 ):
+Wed Jun 14 09:26:24 2023 349.970 Series CommonP2B3... 353,363,546,260 terms (Expansion Factor = 5.034)
+Wed Jun 14 09:26:24 2023 349.970 Series: A ( 60 ) 0.000%
+Wed Jun 14 09:26:24 2023 349.976 Series: A ( 59 ) 0.000%
+Wed Jun 14 09:26:24 2023 350.693 Series: A ( 58 ) 0.001%
+Wed Jun 14 09:26:25 2023 351.602 Series: A ( 57 ) 0.002%
+Wed Jun 14 09:26:26 2023 352.608 Series: A ( 56 ) 0.004%
+Wed Jun 14 09:26:27 2023 353.670 Series: A ( 55 ) 0.005%
+Wed Jun 14 09:26:28 2023 354.778 Series: E ( 54 ) 0.006%
+Wed Jun 14 09:26:30 2023 355.921 Series: E ( 53 ) 0.007%
+Wed Jun 14 09:26:31 2023 357.278 Series: E ( 52 ) 0.008%
+Wed Jun 14 09:26:32 2023 358.879 Series: E ( 51 ) 0.010%
+Wed Jun 14 09:26:34 2023 360.726 Series: E ( 50 ) 0.012%
+Wed Jun 14 09:26:37 2023 363.102 Series: E ( 49 ) 0.014%
+Wed Jun 14 09:26:40 2023 366.136 Series: E ( 48 ) 0.017%
+Wed Jun 14 09:26:43 2023 369.908 Series: E ( 47 ) 0.020%
+Wed Jun 14 09:26:48 2023 374.377 Series: E ( 46 ) 0.024%
+Wed Jun 14 09:26:53 2023 379.694 Series: E ( 45 ) 0.029%
+Wed Jun 14 09:27:00 2023 386.889 Series: E ( 44 ) 0.034%
+Wed Jun 14 09:27:09 2023 395.233 Series: E ( 43 ) 0.041%
+Wed Jun 14 09:27:19 2023 405.513 Series: E ( 42 ) 0.049%
+Wed Jun 14 09:27:31 2023 417.469 Series: E ( 41 ) 0.058%
+Wed Jun 14 09:27:46 2023 432.879 Series: E ( 40 ) 0.069%
+Wed Jun 14 09:28:05 2023 451.024 Series: E ( 39 ) 0.083%
+Wed Jun 14 09:28:28 2023 473.953 Series: E ( 38 ) 0.099%
+Wed Jun 14 09:28:54 2023 500.027 Series: E ( 37 ) 0.118%
+Wed Jun 14 09:29:27 2023 533.008 Series: E ( 36 ) 0.140%
+Wed Jun 14 09:30:07 2023 573.535 Series: E ( 35 ) 0.168%
+Wed Jun 14 09:30:59 2023 625.351 Series: E ( 34 ) 0.200%
+Wed Jun 14 09:32:03 2023 688.933 Series: E ( 33 ) 0.238%
+Wed Jun 14 09:33:14 2023 760.598 Series: E ( 32 ) 0.284%
+Wed Jun 14 09:34:41 2023 847.018 Series: E ( 31 ) 0.339%
+Wed Jun 14 09:36:32 2023 958.548 Series: E ( 30 ) 0.405%
+Wed Jun 14 09:38:53 2023 1099.378 Series: E ( 29 ) 0.483%
+Wed Jun 14 09:41:37 2023 1263.308 Series: E ( 28 ) 0.576%
+Wed Jun 14 09:45:01 2023 1467.097 Series: E ( 27 ) 0.687%
+Wed Jun 14 09:48:59 2023 1705.079 Series: E ( 26 ) 0.819%
+Wed Jun 14 09:53:54 2023 2000.147 Series: E ( 25 ) 0.977%
+Wed Jun 14 09:59:49 2023 2355.063 Series: E ( 24 ) 1.166%
+Wed Jun 14 10:07:40 2023 2826.748 Series: E ( 23 ) 1.390%
+Wed Jun 14 10:17:26 2023 3412.861 Series: E ( 22 ) 1.659%
+Wed Jun 14 10:29:22 2023 4127.984 Series: E ( 21 ) 1.978%
+Wed Jun 14 10:43:43 2023 4989.762 Series: E ( 20 ) 2.360%
+Wed Jun 14 11:02:03 2023 6088.949 Series: E ( 19 ) 2.815%
+Wed Jun 14 11:24:09 2023 7415.542 Series: E ( 18 ) 3.359%
+Wed Jun 14 11:51:15 2023 9041.002 Series: E ( 17 ) 4.007%
+Wed Jun 14 12:22:36 2023 10922.051 Series: E ( 16 ) 4.780%
+Wed Jun 14 13:01:51 2023 13277.569 Series: E ( 15 ) 5.704%
+Wed Jun 14 13:46:07 2023 15933.868 Series: E ( 14 ) 6.805%
+Wed Jun 14 14:43:59 2023 19405.851 Series: S ( 13 ) 8.120%
+Wed Jun 14 15:54:24 2023 23630.074 Series: S ( 12 ) 9.690%
+Wed Jun 14 17:22:38 2023 28924.758 Series: S ( 11 ) 11.564%
+Wed Jun 14 19:11:21 2023 35447.715 Series: S ( 10 ) 13.803%
+Wed Jun 14 21:35:52 2023 44117.985 Series: S ( 9 ) 16.477%
+Thu Jun 15 00:19:40 2023 53945.956 Series: S ( 8 ) 19.672%
+Thu Jun 15 04:32:07 2023 69093.251 Series: S ( 7 ) 23.492%
+Thu Jun 15 10:06:14 2023 89140.279 Series: S ( 6 ) 28.061%
+Thu Jun 15 17:38:04 2023 116250.202 Series: S ( 5 ) 33.530%
+Fri Jun 16 01:54:58 2023 146064.862 Series: S ( 4 ) 40.084%
+Fri Jun 16 13:36:43 2023 188169.325 Series: S ( 3 ) 47.946%
+Sat Jun 17 03:38:57 2023 238703.594 Series: S ( 2 ) 57.400%
+Sat Jun 17 23:16:11 2023 309337.652 Series: S ( 1 ) 68.803%
+Sun Jun 18 23:15:46 2023 395712.878 Series: S ( 0 ) 82.653%
+Tue Jun 20 04:26:42 2023 500768.070 Finishing Series
+Tue Jun 20 05:03:51 2023 502997.833 Large Division
+Tue Jun 20 12:43:57 2023 530603.099 -2 ArcCoth( 4801 ):
+Tue Jun 20 12:43:57 2023 530603.099 Series CommonP2B3... 135,820,415,013 terms (Expansion Factor = 2.494)
+Tue Jun 20 12:43:57 2023 530603.099 Series: A ( 31 ) 0.000%
+Tue Jun 20 12:43:57 2023 530603.665 Series: A ( 30 ) 0.002%
+Tue Jun 20 12:43:58 2023 530604.612 Series: E ( 29 ) 0.004%
+Tue Jun 20 12:43:59 2023 530605.646 Series: E ( 28 ) 0.007%
+Tue Jun 20 12:44:00 2023 530606.854 Series: E ( 27 ) 0.009%
+Tue Jun 20 12:44:02 2023 530608.498 Series: E ( 26 ) 0.013%
+Tue Jun 20 12:44:05 2023 530611.086 Series: E ( 25 ) 0.018%
+Tue Jun 20 12:44:08 2023 530614.648 Series: E ( 24 ) 0.025%
+Tue Jun 20 12:44:14 2023 530620.391 Series: E ( 23 ) 0.035%
+Tue Jun 20 12:44:22 2023 530628.118 Series: E ( 22 ) 0.048%
+Tue Jun 20 12:44:32 2023 530638.755 Series: E ( 21 ) 0.067%
+Tue Jun 20 12:44:49 2023 530655.308 Series: E ( 20 ) 0.094%
+Tue Jun 20 12:45:12 2023 530678.043 Series: E ( 19 ) 0.130%
+Tue Jun 20 12:45:48 2023 530714.616 Series: E ( 18 ) 0.181%
+Tue Jun 20 12:46:38 2023 530764.161 Series: E ( 17 ) 0.252%
+Tue Jun 20 12:47:50 2023 530836.146 Series: E ( 16 ) 0.351%
+Tue Jun 20 12:49:37 2023 530943.022 Series: E ( 15 ) 0.489%
+Tue Jun 20 12:52:08 2023 531094.876 Series: E ( 14 ) 0.680%
+Tue Jun 20 12:55:55 2023 531321.554 Series: E ( 13 ) 0.946%
+Tue Jun 20 13:00:57 2023 531622.918 Series: E ( 12 ) 1.317%
+Tue Jun 20 13:09:36 2023 532142.472 Series: E ( 11 ) 1.833%
+Tue Jun 20 13:21:58 2023 532884.489 Series: E ( 10 ) 2.552%
+Tue Jun 20 13:39:28 2023 533934.042 Series: E ( 9 ) 3.552%
+Tue Jun 20 14:06:05 2023 535531.158 Series: E ( 8 ) 4.944%
+Tue Jun 20 14:40:06 2023 537572.903 Series: E ( 7 ) 6.884%
+Tue Jun 20 15:37:11 2023 540997.592 Series: S ( 6 ) 9.586%
+Tue Jun 20 16:58:24 2023 545870.817 Series: S ( 5 ) 13.351%
+Tue Jun 20 18:57:41 2023 553027.896 Series: S ( 4 ) 18.602%
+Tue Jun 20 21:49:53 2023 563359.666 Series: S ( 3 ) 25.931%
+Wed Jun 21 03:47:18 2023 584804.274 Series: S ( 2 ) 36.176%
+Wed Jun 21 12:16:06 2023 615332.881 Series: S ( 1 ) 50.536%
+Thu Jun 22 02:28:26 2023 666472.721 Series: S ( 0 ) 70.772%
+Thu Jun 22 23:15:43 2023 741309.902 Finishing Series
+Fri Jun 23 00:02:19 2023 744105.029 Large Division
+Fri Jun 23 08:05:05 2023 773071.452 Accumulate
+Fri Jun 23 08:21:01 2023 774027.319 8 ArcCoth( 8749 ):
+Fri Jun 23 08:21:01 2023 774027.319 Series CommonP2B3... 126,840,505,980 terms (Expansion Factor = 2.391)
+Fri Jun 23 08:21:01 2023 774027.319 Series: A ( 30 ) 0.000%
+Fri Jun 23 08:21:01 2023 774027.790 Series: A ( 29 ) 0.002%
+Fri Jun 23 08:21:02 2023 774028.764 Series: E ( 28 ) 0.004%
+Fri Jun 23 08:21:03 2023 774029.791 Series: E ( 27 ) 0.007%
+Fri Jun 23 08:21:05 2023 774030.971 Series: E ( 26 ) 0.009%
+Fri Jun 23 08:21:06 2023 774032.619 Series: E ( 25 ) 0.013%
+Fri Jun 23 08:21:09 2023 774035.194 Series: E ( 24 ) 0.018%
+Fri Jun 23 08:21:13 2023 774039.005 Series: E ( 23 ) 0.026%
+Fri Jun 23 08:21:19 2023 774045.067 Series: E ( 22 ) 0.037%
+Fri Jun 23 08:21:27 2023 774053.575 Series: E ( 21 ) 0.051%
+Fri Jun 23 08:21:40 2023 774066.113 Series: E ( 20 ) 0.073%
+Fri Jun 23 08:21:57 2023 774083.389 Series: E ( 19 ) 0.102%
+Fri Jun 23 08:22:24 2023 774110.068 Series: E ( 18 ) 0.144%
+Fri Jun 23 08:23:01 2023 774147.641 Series: E ( 17 ) 0.203%
+Fri Jun 23 08:24:00 2023 774206.801 Series: E ( 16 ) 0.286%
+Fri Jun 23 08:25:22 2023 774288.854 Series: E ( 15 ) 0.402%
+Fri Jun 23 08:27:30 2023 774416.283 Series: E ( 14 ) 0.567%
+Fri Jun 23 08:30:29 2023 774595.459 Series: E ( 13 ) 0.799%
+Fri Jun 23 08:35:00 2023 774866.766 Series: E ( 12 ) 1.125%
+Fri Jun 23 08:41:26 2023 775252.552 Series: E ( 11 ) 1.586%
+Fri Jun 23 08:52:22 2023 775907.977 Series: E ( 10 ) 2.234%
+Fri Jun 23 09:08:26 2023 776872.676 Series: E ( 9 ) 3.148%
+Fri Jun 23 09:33:25 2023 778371.179 Series: E ( 8 ) 4.435%
+Fri Jun 23 10:06:30 2023 780356.816 Series: E ( 7 ) 6.250%
+Fri Jun 23 10:57:24 2023 783410.191 Series: S ( 6 ) 8.810%
+Fri Jun 23 12:11:54 2023 787880.069 Series: S ( 5 ) 12.420%
+Fri Jun 23 14:06:59 2023 794785.111 Series: S ( 4 ) 17.515%
+Fri Jun 23 16:57:02 2023 804988.589 Series: S ( 3 ) 24.712%
+Fri Jun 23 22:18:05 2023 824251.051 Series: S ( 2 ) 34.894%
+Sat Jun 24 06:38:09 2023 854255.843 Series: S ( 1 ) 49.336%
+Sat Jun 24 19:44:14 2023 901420.072 Series: S ( 0 ) 69.927%
+Sun Jun 25 16:19:08 2023 975513.916 Finishing Series
+Sun Jun 25 16:56:12 2023 977738.520 Large Division
+Mon Jun 26 00:37:24 2023 1005410.099 Accumulate
+Mon Jun 26 00:53:22 2023 1006368.251 Writing Hexadecimal Digits
+Mon Jun 26 01:29:36 2023 1008542.589 Base Converting
+Mon Jun 26 09:37:31 2023 1037817.739 Writing Decimal Digits
+Mon Jun 26 10:14:17 2023 1040023.217 Verifying Base Conversion
+Mon Jun 26 13:56:04 2023 1053330.200 Verifying Binary Output
+Mon Jun 26 14:01:23 2023 1053649.229 Verifying Decimal Output
+Mon Jun 26 14:04:39 2023 1053845.652 Verifying Hexadecimal Output
+Mon Jun 26 14:07:42 2023 1054028.227 End Computation
+
+----
+
+Checksum0: 098a6e77b862e05719cde6e7244f0b5556939c4a41375042c1ca8af0279d9a723c7bb18aa93fc46b5024680cea186497e5e008402a722246268faaeb922c94cb
+Checksum1: 25e78ec1045f9f7891311d9b77d3119334a9b6a2444c58595d93bfd35f25cc169ef2fc13a86e4f547c306f38535d72213192034b96cf71efc1c382f2fd339e5d
diff --git a/academic/bigcomp/y-cruncher/validation/Log(3) - 20230712-101826.txt b/academic/bigcomp/y-cruncher/validation/Log(3) - 20230712-101826.txt
new file mode 100644
index 0000000..4bba077
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Log(3) - 20230712-101826.txt
@@ -0,0 +1,413 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.7.10 Build 9513
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,952,176 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Log(3)
+Algorithm: Primary Machin-like Formula (4 terms)
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,722,327,744 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 1,866,594,719,488 (1.70 TiB)
+Logical Peak Disk Usage: 5,479,152,873,960 (4.98 TiB)
+Logical Disk Bytes Read: 383,731,398,622,312 ( 349 TiB)
+Logical Disk Bytes Written: 336,754,187,925,104 ( 306 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "log"
+ Argument : 3
+ Algorithm : "machin-primary"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Mon Jun 26 21:31:49 2023
+End Date: Wed Jul 12 10:17:36 2023
+
+Total Computation Time: 1315377.492 seconds
+Start-to-End Wall Time: 1341946.755 seconds
+
+CPU Utilization: 1885.86 % + 1.62 % kernel overhead
+Multi-core Efficiency: 39.29 % + 0.03 % kernel overhead
+
+Last Decimal Digits:
+5566333677 0961261552 8248372915 1928156629 7596658171 : 1,000,000,000,000
+0356370843 4030440305 1458999317 9289844845 5792926782 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+e25c454507 5fe032fa8d 3ed384c462 005aa57e1d 24c2b023c4 : 830,482,023,750
+98a0052f25 3304
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): 6fff7713593e00bba61e7efcb4815436c00b4e3610ef552e1f1aadbe03d6924d
+
+Dec Counts: {99999659524,99999589494,100000178638,100000092839,100000175952,99999928895,100000337269,100000143006,99999892250,100000002183}
+Hex Counts: {51905220143,51905068194,51905030719,51904870660,51905166341,51905028470,51904993428,51905109980,51905104955,51904919720,51905567046,51905460374,51905320212,51905061307,51905088363,51905013852}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 752128861203103304
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 817019657174823541
+
+Spot Check: Not Available
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 128,707,330
+Reference Clock 2: 8,782,014
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Mon Jun 26 21:31:50 2023 0.563 Working Memory
+Mon Jun 26 21:35:38 2023 228.230 Working Memory: 479 GiB (locked, spread: ?)
+Mon Jun 26 21:35:38 2023 228.230 Twiddle Tables
+Mon Jun 26 21:35:38 2023 228.337 Twiddle Tables: 131 MiB (locked, spread: ?)
+Mon Jun 26 21:35:38 2023 228.337 I/O Buffers
+Mon Jun 26 21:35:38 2023 228.465 I/O Buffers: 512 MiB (locked, spread: ?)
+Mon Jun 26 21:35:38 2023 228.465 Begin Computation
+Mon Jun 26 21:35:38 2023 228.465 228 ArcCoth( 251 ):
+Mon Jun 26 21:35:38 2023 228.465 Series CommonP2B3... 208,361,660,016 terms (Expansion Factor = 3.331)
+Mon Jun 26 21:35:38 2023 228.465 Series: A ( 41 ) 0.000%
+Mon Jun 26 21:35:38 2023 228.560 Series: A ( 40 ) 0.000%
+Mon Jun 26 21:35:39 2023 229.319 Series: A ( 39 ) 0.002%
+Mon Jun 26 21:35:40 2023 230.215 Series: A ( 38 ) 0.004%
+Mon Jun 26 21:35:40 2023 231.160 Series: E ( 37 ) 0.006%
+Mon Jun 26 21:35:41 2023 232.132 Series: E ( 36 ) 0.007%
+Mon Jun 26 21:35:43 2023 233.329 Series: E ( 35 ) 0.009%
+Mon Jun 26 21:35:44 2023 234.913 Series: E ( 34 ) 0.012%
+Mon Jun 26 21:35:46 2023 237.109 Series: E ( 33 ) 0.016%
+Mon Jun 26 21:35:49 2023 239.951 Series: E ( 32 ) 0.020%
+Mon Jun 26 21:35:53 2023 243.763 Series: E ( 31 ) 0.026%
+Mon Jun 26 21:35:58 2023 249.067 Series: E ( 30 ) 0.034%
+Mon Jun 26 21:36:05 2023 255.881 Series: E ( 29 ) 0.044%
+Mon Jun 26 21:36:15 2023 265.242 Series: E ( 28 ) 0.057%
+Mon Jun 26 21:36:27 2023 277.441 Series: E ( 27 ) 0.073%
+Mon Jun 26 21:36:44 2023 294.526 Series: E ( 26 ) 0.095%
+Mon Jun 26 21:37:06 2023 316.305 Series: E ( 25 ) 0.122%
+Mon Jun 26 21:37:36 2023 346.580 Series: E ( 24 ) 0.158%
+Mon Jun 26 21:38:16 2023 386.973 Series: E ( 23 ) 0.204%
+Mon Jun 26 21:39:12 2023 442.392 Series: E ( 22 ) 0.264%
+Mon Jun 26 21:40:25 2023 515.858 Series: E ( 21 ) 0.341%
+Mon Jun 26 21:42:08 2023 618.436 Series: E ( 20 ) 0.441%
+Mon Jun 26 21:44:15 2023 745.743 Series: E ( 19 ) 0.570%
+Mon Jun 26 21:47:03 2023 913.809 Series: E ( 18 ) 0.737%
+Mon Jun 26 21:50:43 2023 1133.704 Series: E ( 17 ) 0.952%
+Mon Jun 26 21:55:57 2023 1447.344 Series: E ( 16 ) 1.230%
+Mon Jun 26 22:03:16 2023 1886.644 Series: E ( 15 ) 1.590%
+Mon Jun 26 22:13:28 2023 2498.925 Series: E ( 14 ) 2.055%
+Mon Jun 26 22:25:23 2023 3214.079 Series: E ( 13 ) 2.656%
+Mon Jun 26 22:42:44 2023 4254.607 Series: E ( 12 ) 3.433%
+Mon Jun 26 23:05:54 2023 5645.081 Series: E ( 11 ) 4.438%
+Mon Jun 26 23:35:18 2023 7408.569 Series: E ( 10 ) 5.737%
+Tue Jun 27 00:12:54 2023 9664.814 Series: E ( 9 ) 7.417%
+Tue Jun 27 01:07:23 2023 12933.651 Series: S ( 8 ) 9.589%
+Tue Jun 27 02:24:04 2023 17534.744 Series: S ( 7 ) 12.401%
+Tue Jun 27 04:03:23 2023 23493.727 Series: S ( 6 ) 16.041%
+Tue Jun 27 06:31:15 2023 32366.005 Series: S ( 5 ) 20.755%
+Tue Jun 27 10:31:39 2023 46789.542 Series: S ( 4 ) 26.866%
+Tue Jun 27 16:32:46 2023 68456.632 Series: S ( 3 ) 34.796%
+Wed Jun 28 00:41:16 2023 97766.299 Series: S ( 2 ) 45.106%
+Wed Jun 28 13:53:03 2023 145273.369 Series: S ( 1 ) 58.552%
+Thu Jun 29 10:00:26 2023 217716.205 Series: S ( 0 ) 76.195%
+Fri Jun 30 15:27:26 2023 323736.490 Finishing Series
+Fri Jun 30 16:24:18 2023 327148.839 Large Division
+Sat Jul 1 02:18:47 2023 362817.629 86 ArcCoth( 449 ):
+Sat Jul 1 02:18:47 2023 362817.629 Series CommonP2B3... 188,519,441,944 terms (Expansion Factor = 3.101)
+Sat Jul 1 02:18:47 2023 362817.629 Series: A ( 38 ) 0.000%
+Sat Jul 1 02:18:47 2023 362817.998 Series: A ( 37 ) 0.001%
+Sat Jul 1 02:18:48 2023 362818.817 Series: A ( 36 ) 0.003%
+Sat Jul 1 02:18:49 2023 362819.720 Series: E ( 35 ) 0.005%
+Sat Jul 1 02:18:50 2023 362820.688 Series: E ( 34 ) 0.007%
+Sat Jul 1 02:18:51 2023 362821.828 Series: E ( 33 ) 0.009%
+Sat Jul 1 02:18:53 2023 362823.253 Series: E ( 32 ) 0.012%
+Sat Jul 1 02:18:55 2023 362825.180 Series: E ( 31 ) 0.015%
+Sat Jul 1 02:18:57 2023 362827.958 Series: E ( 30 ) 0.020%
+Sat Jul 1 02:19:01 2023 362831.626 Series: E ( 29 ) 0.027%
+Sat Jul 1 02:19:06 2023 362836.993 Series: E ( 28 ) 0.035%
+Sat Jul 1 02:19:13 2023 362843.946 Series: E ( 27 ) 0.046%
+Sat Jul 1 02:19:23 2023 362853.598 Series: E ( 26 ) 0.060%
+Sat Jul 1 02:19:36 2023 362866.975 Series: E ( 25 ) 0.079%
+Sat Jul 1 02:19:54 2023 362884.687 Series: E ( 24 ) 0.104%
+Sat Jul 1 02:20:20 2023 362910.478 Series: E ( 23 ) 0.137%
+Sat Jul 1 02:20:54 2023 362944.232 Series: E ( 22 ) 0.180%
+Sat Jul 1 02:21:39 2023 362989.683 Series: E ( 21 ) 0.236%
+Sat Jul 1 02:22:42 2023 363052.770 Series: E ( 20 ) 0.310%
+Sat Jul 1 02:24:08 2023 363138.357 Series: E ( 19 ) 0.408%
+Sat Jul 1 02:26:10 2023 363261.138 Series: E ( 18 ) 0.536%
+Sat Jul 1 02:28:49 2023 363419.474 Series: E ( 17 ) 0.704%
+Sat Jul 1 02:32:23 2023 363634.056 Series: E ( 16 ) 0.925%
+Sat Jul 1 02:37:24 2023 363934.381 Series: E ( 15 ) 1.216%
+Sat Jul 1 02:44:16 2023 364346.296 Series: E ( 14 ) 1.599%
+Sat Jul 1 02:54:25 2023 364956.026 Series: E ( 13 ) 2.101%
+Sat Jul 1 03:08:05 2023 365776.068 Series: E ( 12 ) 2.762%
+Sat Jul 1 03:26:00 2023 366850.409 Series: E ( 11 ) 3.630%
+Sat Jul 1 03:49:12 2023 368242.240 Series: E ( 10 ) 4.772%
+Sat Jul 1 04:21:04 2023 370155.119 Series: E ( 9 ) 6.274%
+Sat Jul 1 05:08:46 2023 373016.303 Series: S ( 8 ) 8.249%
+Sat Jul 1 06:14:09 2023 376939.825 Series: S ( 7 ) 10.848%
+Sat Jul 1 07:43:12 2023 382282.814 Series: S ( 6 ) 14.269%
+Sat Jul 1 10:02:49 2023 390659.540 Series: S ( 5 ) 18.773%
+Sat Jul 1 14:35:32 2023 407022.185 Series: S ( 4 ) 24.710%
+Sat Jul 1 21:10:22 2023 430712.222 Series: S ( 3 ) 32.543%
+Sun Jul 2 05:35:05 2023 460995.932 Series: S ( 2 ) 42.895%
+Sun Jul 2 18:00:42 2023 505732.439 Series: S ( 1 ) 56.618%
+Mon Jul 3 13:12:51 2023 574861.931 Series: S ( 0 ) 74.920%
+Tue Jul 4 16:37:34 2023 673544.615 Finishing Series
+Tue Jul 4 17:35:32 2023 677022.208 Large Division
+Wed Jul 5 04:13:51 2023 715321.251 Accumulate
+Wed Jul 5 04:39:12 2023 716843.006 -60 ArcCoth( 4801 ):
+Wed Jul 5 04:39:12 2023 716843.006 Series CommonP2B3... 135,820,415,013 terms (Expansion Factor = 2.494)
+Wed Jul 5 04:39:12 2023 716843.006 Series: A ( 31 ) 0.000%
+Wed Jul 5 04:39:13 2023 716843.529 Series: A ( 30 ) 0.002%
+Wed Jul 5 04:39:14 2023 716844.380 Series: E ( 29 ) 0.004%
+Wed Jul 5 04:39:15 2023 716845.302 Series: E ( 28 ) 0.007%
+Wed Jul 5 04:39:16 2023 716846.372 Series: E ( 27 ) 0.009%
+Wed Jul 5 04:39:17 2023 716847.879 Series: E ( 26 ) 0.013%
+Wed Jul 5 04:39:19 2023 716850.150 Series: E ( 25 ) 0.018%
+Wed Jul 5 04:39:23 2023 716853.245 Series: E ( 24 ) 0.025%
+Wed Jul 5 04:39:27 2023 716858.089 Series: E ( 23 ) 0.035%
+Wed Jul 5 04:39:34 2023 716864.815 Series: E ( 22 ) 0.048%
+Wed Jul 5 04:39:43 2023 716874.166 Series: E ( 21 ) 0.067%
+Wed Jul 5 04:39:58 2023 716889.151 Series: E ( 20 ) 0.094%
+Wed Jul 5 04:40:19 2023 716909.985 Series: E ( 19 ) 0.130%
+Wed Jul 5 04:40:51 2023 716942.037 Series: E ( 18 ) 0.181%
+Wed Jul 5 04:41:36 2023 716986.739 Series: E ( 17 ) 0.252%
+Wed Jul 5 04:42:41 2023 717051.316 Series: E ( 16 ) 0.351%
+Wed Jul 5 04:44:18 2023 717148.748 Series: E ( 15 ) 0.489%
+Wed Jul 5 04:46:39 2023 717289.362 Series: E ( 14 ) 0.680%
+Wed Jul 5 04:50:04 2023 717494.444 Series: E ( 13 ) 0.946%
+Wed Jul 5 04:54:44 2023 717774.273 Series: E ( 12 ) 1.317%
+Wed Jul 5 05:02:22 2023 718232.824 Series: E ( 11 ) 1.833%
+Wed Jul 5 05:13:01 2023 718871.407 Series: E ( 10 ) 2.552%
+Wed Jul 5 05:27:52 2023 719762.765 Series: E ( 9 ) 3.552%
+Wed Jul 5 05:50:56 2023 721146.664 Series: E ( 8 ) 4.944%
+Wed Jul 5 06:21:20 2023 722971.086 Series: E ( 7 ) 6.884%
+Wed Jul 5 07:11:41 2023 725991.904 Series: S ( 6 ) 9.586%
+Wed Jul 5 08:31:19 2023 730770.120 Series: S ( 5 ) 13.351%
+Wed Jul 5 10:31:57 2023 738007.741 Series: S ( 4 ) 18.602%
+Wed Jul 5 13:26:57 2023 748507.744 Series: S ( 3 ) 25.931%
+Wed Jul 5 20:19:08 2023 773238.609 Series: S ( 2 ) 36.176%
+Thu Jul 6 05:57:30 2023 807940.544 Series: S ( 1 ) 50.536%
+Thu Jul 6 23:28:55 2023 871025.822 Series: S ( 0 ) 70.772%
+Sat Jul 8 00:26:44 2023 960894.433 Finishing Series
+Sat Jul 8 01:22:22 2023 964232.606 Large Division
+Sat Jul 8 12:04:57 2023 1002787.385 Accumulate
+Sat Jul 8 12:31:30 2023 1004380.543 98 ArcCoth( 8749 ):
+Sat Jul 8 12:31:30 2023 1004380.543 Series CommonP2B3... 126,840,505,980 terms (Expansion Factor = 2.391)
+Sat Jul 8 12:31:30 2023 1004380.543 Series: A ( 30 ) 0.000%
+Sat Jul 8 12:31:30 2023 1004380.963 Series: A ( 29 ) 0.002%
+Sat Jul 8 12:31:31 2023 1004381.827 Series: E ( 28 ) 0.004%
+Sat Jul 8 12:31:32 2023 1004382.770 Series: E ( 27 ) 0.007%
+Sat Jul 8 12:31:33 2023 1004383.822 Series: E ( 26 ) 0.009%
+Sat Jul 8 12:31:35 2023 1004385.303 Series: E ( 25 ) 0.013%
+Sat Jul 8 12:31:37 2023 1004387.568 Series: E ( 24 ) 0.018%
+Sat Jul 8 12:31:40 2023 1004390.883 Series: E ( 23 ) 0.026%
+Sat Jul 8 12:31:45 2023 1004396.100 Series: E ( 22 ) 0.037%
+Sat Jul 8 12:31:53 2023 1004403.616 Series: E ( 21 ) 0.051%
+Sat Jul 8 12:32:04 2023 1004414.836 Series: E ( 20 ) 0.073%
+Sat Jul 8 12:32:20 2023 1004430.459 Series: E ( 19 ) 0.102%
+Sat Jul 8 12:32:44 2023 1004455.145 Series: E ( 18 ) 0.144%
+Sat Jul 8 12:33:18 2023 1004489.084 Series: E ( 17 ) 0.203%
+Sat Jul 8 12:34:11 2023 1004541.803 Series: E ( 16 ) 0.286%
+Sat Jul 8 12:35:24 2023 1004614.356 Series: E ( 15 ) 0.402%
+Sat Jul 8 12:37:18 2023 1004728.686 Series: E ( 14 ) 0.567%
+Sat Jul 8 12:39:59 2023 1004890.133 Series: E ( 13 ) 0.799%
+Sat Jul 8 12:44:04 2023 1005134.739 Series: E ( 12 ) 1.125%
+Sat Jul 8 12:50:00 2023 1005490.409 Series: E ( 11 ) 1.586%
+Sat Jul 8 12:59:38 2023 1006068.728 Series: E ( 10 ) 2.234%
+Sat Jul 8 13:13:30 2023 1006900.270 Series: E ( 9 ) 3.148%
+Sat Jul 8 13:34:45 2023 1008175.333 Series: E ( 8 ) 4.435%
+Sat Jul 8 14:03:00 2023 1009870.685 Series: E ( 7 ) 6.250%
+Sat Jul 8 14:48:22 2023 1012592.410 Series: S ( 6 ) 8.810%
+Sat Jul 8 15:57:49 2023 1016759.231 Series: S ( 5 ) 12.420%
+Sat Jul 8 17:51:00 2023 1023551.051 Series: S ( 4 ) 17.515%
+Sat Jul 8 20:35:40 2023 1033430.819 Series: S ( 3 ) 24.712%
+Sun Jul 9 02:58:52 2023 1056422.581 Series: S ( 2 ) 34.894%
+Sun Jul 9 11:59:38 2023 1088868.511 Series: S ( 1 ) 49.336%
+Mon Jul 10 03:44:40 2023 1145570.290 Series: S ( 0 ) 69.927%
+Tue Jul 11 04:05:01 2023 1233191.401 Finishing Series
+Tue Jul 11 05:02:19 2023 1236629.889 Large Division
+Tue Jul 11 15:21:24 2023 1273774.217 Accumulate
+Tue Jul 11 15:48:02 2023 1275373.120 Writing Hexadecimal Digits
+Tue Jul 11 16:31:41 2023 1277991.249 Base Converting
+Wed Jul 12 03:42:13 2023 1318224.125 Writing Decimal Digits
+Wed Jul 12 04:24:24 2023 1320754.826 Verifying Base Conversion
+Wed Jul 12 10:02:05 2023 1341015.348 Verifying Binary Output
+Wed Jul 12 10:11:14 2023 1341564.879 Verifying Decimal Output
+Wed Jul 12 10:14:35 2023 1341766.057 Verifying Hexadecimal Output
+Wed Jul 12 10:17:36 2023 1341946.754 End Computation
+
+----
+
+Checksum0: 740712949c41b0600ff0eb7c6abb968547164a81492441e72778f9626c95a354e1b34e40cadffda70732344b828664cb150f6cf35a9d6984694517f467160ccc
+Checksum1: b8cf5548584aae3ca3bf5841346d1b948e0a85385eba82566cef09e1918dca2aee42a8d664d7982b85a23653c65b5eaa78913e49248fb2d06236d56fa33f9a97
diff --git a/academic/bigcomp/y-cruncher/validation/Pi - 20230614-082425.txt b/academic/bigcomp/y-cruncher/validation/Pi - 20230614-082425.txt
new file mode 100644
index 0000000..cad0b8e
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Pi - 20230614-082425.txt
@@ -0,0 +1,297 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.7.10 Build 9513
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,961,696 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Pi
+Algorithm: Chudnovsky (1988)
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,722,327,744 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 1,445,538,213,984 (1.31 TiB)
+Logical Peak Disk Usage: 5,269,578,321,952 (4.79 TiB)
+Logical Disk Bytes Read: 143,632,647,556,252 ( 131 TiB)
+Logical Disk Bytes Written: 123,662,101,317,692 ( 112 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "pi"
+ Algorithm : "chudnovsky"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Fri Jun 9 22:07:05 2023
+End Date: Wed Jun 14 08:23:26 2023
+
+Total Computation Time: 364112.560 seconds
+Start-to-End Wall Time: 382580.694 seconds
+
+CPU Utilization: 2173.10 % + 2.09 % kernel overhead
+Multi-core Efficiency: 45.27 % + 0.04 % kernel overhead
+
+Last Decimal Digits:
+2976735807 0882130902 2460461146 5810642210 6680122702 : 1,000,000,000,000
+4463806240 5498434388 8389727963 8894287067 3227443014 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+5bddfdac20 e474d2e0ed 2b0a9771e8 f150fe0af9 acbcda8c7a : 830,482,023,750
+1e85b5a944 e5af
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): 87ab7c949b75403cf292ff8f4f38d87558ccb8f603ae51d2fe579159f7fa07d6
+
+Dec Counts: {99999485138,99999945665,100000480062,99999787812,100000357867,99999671009,99999807507,99999818728,100000791478,99999854784}
+Hex Counts: {51904997432,51905218629,51904908124,51905472633,51904993764,51905183066,51905186132,51904949302,51905407232,51905179421,51905317525,51905094906,51905210210,51904951268,51904899766,51905054354}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 74308292230626397
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 629024640867154459
+
+Spot Check: Good through 1,000,000,000,000
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 111,599,648
+Reference Clock 2: 7,991,433
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Fri Jun 9 22:07:05 2023 0.339 Working Memory
+Fri Jun 9 22:10:55 2023 230.578 Working Memory: 479 GiB (locked, spread: ?)
+Fri Jun 9 22:10:55 2023 230.578 Twiddle Tables
+Fri Jun 9 22:10:56 2023 230.685 Twiddle Tables: 131 MiB (locked, spread: ?)
+Fri Jun 9 22:10:56 2023 230.685 I/O Buffers
+Fri Jun 9 22:10:56 2023 230.811 I/O Buffers: 512 MiB (locked, spread: ?)
+Fri Jun 9 22:10:56 2023 230.812 Begin Computation
+Fri Jun 9 22:10:56 2023 230.812 Series CommonP2B3... 70,513,669,364 terms (Expansion Factor = 3.334)
+Fri Jun 9 22:10:56 2023 230.812 Series: A ( 41 ) 0.000%
+Fri Jun 9 22:10:56 2023 230.937 Series: A ( 40 ) 0.000%
+Fri Jun 9 22:10:56 2023 231.674 Series: A ( 39 ) 0.002%
+Fri Jun 9 22:10:57 2023 232.526 Series: A ( 38 ) 0.004%
+Fri Jun 9 22:10:58 2023 233.438 Series: E ( 37 ) 0.006%
+Fri Jun 9 22:10:59 2023 234.361 Series: E ( 36 ) 0.007%
+Fri Jun 9 22:11:00 2023 235.575 Series: E ( 35 ) 0.010%
+Fri Jun 9 22:11:02 2023 237.144 Series: E ( 34 ) 0.012%
+Fri Jun 9 22:11:04 2023 239.266 Series: E ( 33 ) 0.016%
+Fri Jun 9 22:11:07 2023 242.005 Series: E ( 32 ) 0.021%
+Fri Jun 9 22:11:11 2023 245.843 Series: E ( 31 ) 0.027%
+Fri Jun 9 22:11:16 2023 251.300 Series: E ( 30 ) 0.034%
+Fri Jun 9 22:11:24 2023 258.711 Series: E ( 29 ) 0.044%
+Fri Jun 9 22:11:33 2023 268.326 Series: E ( 28 ) 0.057%
+Fri Jun 9 22:11:46 2023 281.469 Series: E ( 27 ) 0.074%
+Fri Jun 9 22:12:03 2023 297.683 Series: E ( 26 ) 0.095%
+Fri Jun 9 22:12:25 2023 319.910 Series: E ( 25 ) 0.123%
+Fri Jun 9 22:12:55 2023 350.077 Series: E ( 24 ) 0.159%
+Fri Jun 9 22:13:35 2023 390.531 Series: E ( 23 ) 0.206%
+Fri Jun 9 22:14:33 2023 448.047 Series: E ( 22 ) 0.266%
+Fri Jun 9 22:15:46 2023 520.792 Series: E ( 21 ) 0.343%
+Fri Jun 9 22:17:28 2023 623.214 Series: E ( 20 ) 0.444%
+Fri Jun 9 22:19:39 2023 754.100 Series: E ( 19 ) 0.573%
+Fri Jun 9 22:22:36 2023 930.894 Series: E ( 18 ) 0.741%
+Fri Jun 9 22:26:24 2023 1159.598 Series: E ( 17 ) 0.957%
+Fri Jun 9 22:31:33 2023 1467.715 Series: E ( 16 ) 1.236%
+Fri Jun 9 22:38:59 2023 1913.944 Series: E ( 15 ) 1.597%
+Fri Jun 9 22:48:10 2023 2465.017 Series: E ( 14 ) 2.064%
+Fri Jun 9 23:00:11 2023 3185.792 Series: E ( 13 ) 2.666%
+Fri Jun 9 23:16:50 2023 4185.414 Series: E ( 12 ) 3.445%
+Fri Jun 9 23:39:46 2023 5561.600 Series: E ( 11 ) 4.452%
+Sat Jun 10 00:09:05 2023 7320.646 Series: E ( 10 ) 5.753%
+Sat Jun 10 00:48:09 2023 9663.955 Series: E ( 9 ) 7.436%
+Sat Jun 10 01:42:40 2023 12934.877 Series: S ( 8 ) 9.611%
+Sat Jun 10 02:55:39 2023 17313.827 Series: S ( 7 ) 12.426%
+Sat Jun 10 04:38:15 2023 23469.738 Series: S ( 6 ) 16.068%
+Sat Jun 10 07:07:07 2023 32401.906 Series: S ( 5 ) 20.784%
+Sat Jun 10 11:06:10 2023 46745.075 Series: S ( 4 ) 26.895%
+Sat Jun 10 16:59:51 2023 67966.156 Series: S ( 3 ) 34.825%
+Sun Jun 11 00:40:50 2023 95625.103 Series: S ( 2 ) 45.131%
+Sun Jun 11 12:24:34 2023 137849.026 Series: S ( 1 ) 58.570%
+Mon Jun 12 05:28:09 2023 199263.788 Series: S ( 0 ) 76.202%
+Tue Jun 13 02:39:28 2023 275543.308 Finishing Series
+Tue Jun 13 03:16:02 2023 277737.409 Large Division
+Tue Jun 13 10:48:37 2023 304892.001 InvSqrt(10005)...
+Tue Jun 13 15:47:36 2023 322830.905 Large Multiply
+Tue Jun 13 19:04:59 2023 334673.745 Verify Large Multiply
+Tue Jun 13 19:26:09 2023 335943.989 Writing Hexadecimal Digits
+Tue Jun 13 20:03:02 2023 338157.429 Base Converting
+Wed Jun 14 03:56:22 2023 366556.806 Writing Decimal Digits
+Wed Jun 14 04:33:39 2023 368794.590 Verifying Base Conversion
+Wed Jun 14 08:11:54 2023 381888.964 Verifying Binary Output
+Wed Jun 14 08:17:21 2023 382216.133 Verifying Decimal Output
+Wed Jun 14 08:20:30 2023 382404.937 Verifying Hexadecimal Output
+Wed Jun 14 08:23:26 2023 382580.694 End Computation
+
+----
+
+Checksum0: 538377ef5ff2679a6fe0e9bb6c9d6385e8f8488a40287bbd30a6c4b12497fac82961185a4077fdd098bb7c02eb524cffb3fa59ab40406b45f24f8c5738364bef
+Checksum1: 0942ba1a5ff5f4b4cc528461ea6b643eec413feff79e9a8e859927c25f9a49f1b19f29bd52e4fc4bd9645814f5c9c259068ba3e9c525bad0ab7e362fcdacaec1
diff --git a/academic/bigcomp/y-cruncher/validation/Zeta(3) - 20230807-220226.txt b/academic/bigcomp/y-cruncher/validation/Zeta(3) - 20230807-220226.txt
new file mode 100644
index 0000000..38f3dc8
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/Zeta(3) - 20230807-220226.txt
@@ -0,0 +1,461 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.7.10 Build 9513
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,952,240 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: Zeta(3) - Apery's Constant
+Algorithm: Wedeniwski (1998)
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,722,327,744 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 1,912,029,693,672 (1.74 TiB)
+Logical Peak Disk Usage: 6,429,553,573,072 (5.85 TiB)
+Logical Disk Bytes Read: 592,753,530,021,568 ( 539 TiB)
+Logical Disk Bytes Written: 519,940,244,223,576 ( 473 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "zeta3"
+ Algorithm : "wedeniwski"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Wed Jul 12 16:54:31 2023
+End Date: Mon Aug 7 22:01:35 2023
+
+Total Computation Time: 2239914.085 seconds
+Start-to-End Wall Time: 2264823.999 seconds
+
+CPU Utilization: 1886.40 % + 1.48 % kernel overhead
+Multi-core Efficiency: 39.30 % + 0.03 % kernel overhead
+
+Last Decimal Digits:
+1598909000 5107063462 5985885828 2312650444 0939412056 : 1,000,000,000,000
+8200174817 3216234064 7287633636 2436299423 7238696241 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+b788f42d07 11695c4420 e0b0522f44 51a61c358b e1c175b489 : 830,482,023,750
+69cd330b84 1f0e
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): 1f7649881b25ddb18331476efe74d22cf6f0bd296fc79cc710377eb338b9973a
+
+Dec Counts: {100000022441,100000160791,99999702791,100000228659,100000103588,100000264772,99999711151,99999981427,100000147361,99999677069}
+Hex Counts: {51904983140,51905375196,51905024284,51904920462,51905368682,51905575300,51904997992,51905448395,51905323554,51905161705,51905140824,51905398140,51904803922,51904646620,51904733038,51905122510}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 1458329155797122859
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 361439061195845710
+
+Spot Check: Good through 1,000,000,000,000
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 128,346,519
+Reference Clock 2: 8,823,761
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Wed Jul 12 16:54:31 2023 0.336 Working Memory
+Wed Jul 12 16:58:21 2023 230.217 Working Memory: 479 GiB (locked, spread: ?)
+Wed Jul 12 16:58:21 2023 230.217 Twiddle Tables
+Wed Jul 12 16:58:21 2023 230.324 Twiddle Tables: 131 MiB (locked, spread: ?)
+Wed Jul 12 16:58:21 2023 230.324 I/O Buffers
+Wed Jul 12 16:58:21 2023 230.445 I/O Buffers: 512 MiB (locked, spread: ?)
+Wed Jul 12 16:58:21 2023 230.446 Begin Computation
+Wed Jul 12 16:58:21 2023 230.446 Series CommonP2B3... 198,266,213,077 terms (Expansion Factor = 18.409)
+Wed Jul 12 16:58:21 2023 230.446 Series: A ( 208 ) 0.000%
+Wed Jul 12 16:58:21 2023 230.567 Series: A ( 207 ) 0.000%
+Wed Jul 12 16:58:22 2023 231.149 Series: A ( 206 ) 0.000%
+Wed Jul 12 16:58:22 2023 231.835 Series: A ( 205 ) 0.001%
+Wed Jul 12 16:58:23 2023 232.534 Series: A ( 204 ) 0.001%
+Wed Jul 12 16:58:24 2023 233.256 Series: A ( 203 ) 0.001%
+Wed Jul 12 16:58:25 2023 234.046 Series: A ( 202 ) 0.002%
+Wed Jul 12 16:58:25 2023 234.864 Series: A ( 201 ) 0.002%
+Wed Jul 12 16:58:26 2023 235.687 Series: A ( 200 ) 0.002%
+Wed Jul 12 16:58:27 2023 236.531 Series: A ( 199 ) 0.003%
+Wed Jul 12 16:58:28 2023 237.415 Series: A ( 198 ) 0.003%
+Wed Jul 12 16:58:29 2023 238.314 Series: A ( 197 ) 0.003%
+Wed Jul 12 16:58:30 2023 239.229 Series: A ( 196 ) 0.004%
+Wed Jul 12 16:58:31 2023 240.138 Series: A ( 195 ) 0.004%
+Wed Jul 12 16:58:32 2023 241.061 Series: A ( 194 ) 0.004%
+Wed Jul 12 16:58:33 2023 241.985 Series: A ( 193 ) 0.005%
+Wed Jul 12 16:58:34 2023 242.914 Series: A ( 192 ) 0.005%
+Wed Jul 12 16:58:34 2023 243.866 Series: A ( 191 ) 0.005%
+Wed Jul 12 16:58:35 2023 244.856 Series: A ( 190 ) 0.005%
+Wed Jul 12 16:58:36 2023 245.825 Series: E ( 189 ) 0.006%
+Wed Jul 12 16:58:37 2023 246.814 Series: E ( 188 ) 0.006%
+Wed Jul 12 16:58:38 2023 247.802 Series: E ( 187 ) 0.006%
+Wed Jul 12 16:58:40 2023 249.018 Series: E ( 186 ) 0.007%
+Wed Jul 12 16:58:41 2023 250.266 Series: E ( 185 ) 0.007%
+Wed Jul 12 16:58:42 2023 251.491 Series: E ( 184 ) 0.007%
+Wed Jul 12 16:58:43 2023 252.765 Series: E ( 183 ) 0.008%
+Wed Jul 12 16:58:45 2023 254.123 Series: E ( 182 ) 0.008%
+Wed Jul 12 16:58:46 2023 255.549 Series: E ( 181 ) 0.009%
+Wed Jul 12 16:58:48 2023 257.031 Series: E ( 180 ) 0.009%
+Wed Jul 12 16:58:49 2023 258.605 Series: E ( 179 ) 0.010%
+Wed Jul 12 16:58:51 2023 260.383 Series: E ( 178 ) 0.010%
+Wed Jul 12 16:58:53 2023 262.143 Series: E ( 177 ) 0.011%
+Wed Jul 12 16:58:55 2023 264.146 Series: E ( 176 ) 0.011%
+Wed Jul 12 16:58:57 2023 266.300 Series: E ( 175 ) 0.012%
+Wed Jul 12 16:58:59 2023 268.473 Series: E ( 174 ) 0.012%
+Wed Jul 12 16:59:01 2023 270.754 Series: E ( 173 ) 0.013%
+Wed Jul 12 16:59:04 2023 273.266 Series: E ( 172 ) 0.014%
+Wed Jul 12 16:59:07 2023 275.921 Series: E ( 171 ) 0.015%
+Wed Jul 12 16:59:09 2023 278.637 Series: E ( 170 ) 0.015%
+Wed Jul 12 16:59:12 2023 281.379 Series: E ( 169 ) 0.016%
+Wed Jul 12 16:59:15 2023 284.434 Series: E ( 168 ) 0.017%
+Wed Jul 12 16:59:18 2023 287.867 Series: E ( 167 ) 0.018%
+Wed Jul 12 16:59:22 2023 291.302 Series: E ( 166 ) 0.019%
+Wed Jul 12 16:59:26 2023 294.947 Series: E ( 165 ) 0.020%
+Wed Jul 12 16:59:29 2023 298.795 Series: E ( 164 ) 0.021%
+Wed Jul 12 16:59:33 2023 302.774 Series: E ( 163 ) 0.022%
+Wed Jul 12 16:59:38 2023 306.981 Series: E ( 162 ) 0.023%
+Wed Jul 12 16:59:42 2023 311.482 Series: E ( 161 ) 0.024%
+Wed Jul 12 16:59:47 2023 316.090 Series: E ( 160 ) 0.025%
+Wed Jul 12 16:59:53 2023 321.949 Series: E ( 159 ) 0.027%
+Wed Jul 12 16:59:59 2023 328.208 Series: E ( 158 ) 0.028%
+Wed Jul 12 17:00:05 2023 334.440 Series: E ( 157 ) 0.030%
+Wed Jul 12 17:00:11 2023 340.577 Series: E ( 156 ) 0.031%
+Wed Jul 12 17:00:18 2023 347.051 Series: E ( 155 ) 0.033%
+Wed Jul 12 17:00:25 2023 354.071 Series: E ( 154 ) 0.035%
+Wed Jul 12 17:00:32 2023 361.742 Series: E ( 153 ) 0.036%
+Wed Jul 12 17:00:40 2023 369.315 Series: E ( 152 ) 0.038%
+Wed Jul 12 17:00:49 2023 378.233 Series: E ( 151 ) 0.040%
+Wed Jul 12 17:00:58 2023 386.923 Series: E ( 150 ) 0.042%
+Wed Jul 12 17:01:07 2023 396.399 Series: E ( 149 ) 0.045%
+Wed Jul 12 17:01:17 2023 406.611 Series: E ( 148 ) 0.047%
+Wed Jul 12 17:01:28 2023 416.963 Series: E ( 147 ) 0.049%
+Wed Jul 12 17:01:39 2023 428.374 Series: E ( 146 ) 0.052%
+Wed Jul 12 17:01:52 2023 441.106 Series: E ( 145 ) 0.055%
+Wed Jul 12 17:02:05 2023 454.346 Series: E ( 144 ) 0.058%
+Wed Jul 12 17:02:19 2023 468.189 Series: E ( 143 ) 0.061%
+Wed Jul 12 17:02:33 2023 482.141 Series: E ( 142 ) 0.064%
+Wed Jul 12 17:02:48 2023 497.160 Series: E ( 141 ) 0.067%
+Wed Jul 12 17:03:04 2023 512.964 Series: E ( 140 ) 0.071%
+Wed Jul 12 17:03:20 2023 529.294 Series: E ( 139 ) 0.074%
+Wed Jul 12 17:03:38 2023 546.925 Series: E ( 138 ) 0.078%
+Wed Jul 12 17:03:56 2023 565.835 Series: E ( 137 ) 0.082%
+Wed Jul 12 17:04:16 2023 585.758 Series: E ( 136 ) 0.087%
+Wed Jul 12 17:04:37 2023 606.880 Series: E ( 135 ) 0.091%
+Wed Jul 12 17:05:00 2023 629.212 Series: E ( 134 ) 0.096%
+Wed Jul 12 17:05:22 2023 651.824 Series: E ( 133 ) 0.101%
+Wed Jul 12 17:05:49 2023 678.179 Series: E ( 132 ) 0.106%
+Wed Jul 12 17:06:18 2023 707.752 Series: E ( 131 ) 0.112%
+Wed Jul 12 17:06:48 2023 737.362 Series: E ( 130 ) 0.118%
+Wed Jul 12 17:07:18 2023 767.432 Series: E ( 129 ) 0.124%
+Wed Jul 12 17:07:50 2023 799.068 Series: E ( 128 ) 0.130%
+Wed Jul 12 17:08:24 2023 833.035 Series: E ( 127 ) 0.137%
+Wed Jul 12 17:09:01 2023 870.550 Series: E ( 126 ) 0.145%
+Wed Jul 12 17:09:39 2023 908.551 Series: E ( 125 ) 0.152%
+Wed Jul 12 17:10:21 2023 950.043 Series: E ( 124 ) 0.160%
+Wed Jul 12 17:11:02 2023 991.282 Series: E ( 123 ) 0.168%
+Wed Jul 12 17:11:47 2023 1036.175 Series: E ( 122 ) 0.177%
+Wed Jul 12 17:12:36 2023 1085.592 Series: E ( 121 ) 0.187%
+Wed Jul 12 17:13:25 2023 1134.276 Series: E ( 120 ) 0.196%
+Wed Jul 12 17:14:17 2023 1186.176 Series: E ( 119 ) 0.207%
+Wed Jul 12 17:15:20 2023 1249.481 Series: E ( 118 ) 0.217%
+Wed Jul 12 17:16:24 2023 1313.309 Series: E ( 117 ) 0.229%
+Wed Jul 12 17:17:28 2023 1377.085 Series: E ( 116 ) 0.241%
+Wed Jul 12 17:18:36 2023 1445.291 Series: E ( 115 ) 0.253%
+Wed Jul 12 17:19:48 2023 1517.444 Series: E ( 114 ) 0.267%
+Wed Jul 12 17:21:03 2023 1592.878 Series: E ( 113 ) 0.281%
+Wed Jul 12 17:22:25 2023 1674.364 Series: E ( 112 ) 0.295%
+Wed Jul 12 17:23:47 2023 1755.895 Series: E ( 111 ) 0.311%
+Wed Jul 12 17:25:20 2023 1849.233 Series: E ( 110 ) 0.327%
+Wed Jul 12 17:26:57 2023 1946.060 Series: E ( 109 ) 0.344%
+Wed Jul 12 17:28:44 2023 2053.289 Series: E ( 108 ) 0.362%
+Wed Jul 12 17:30:33 2023 2162.808 Series: E ( 107 ) 0.381%
+Wed Jul 12 17:32:20 2023 2269.075 Series: E ( 106 ) 0.401%
+Wed Jul 12 17:34:21 2023 2390.358 Series: E ( 105 ) 0.422%
+Wed Jul 12 17:36:44 2023 2533.065 Series: E ( 104 ) 0.444%
+Wed Jul 12 17:39:05 2023 2674.844 Series: E ( 103 ) 0.467%
+Wed Jul 12 17:41:31 2023 2819.963 Series: E ( 102 ) 0.492%
+Wed Jul 12 17:43:57 2023 2965.955 Series: E ( 101 ) 0.518%
+Wed Jul 12 17:46:29 2023 3118.787 Series: E ( 100 ) 0.545%
+Wed Jul 12 17:49:29 2023 3298.201 Series: E ( 99 ) 0.573%
+Wed Jul 12 17:52:30 2023 3479.161 Series: E ( 98 ) 0.603%
+Wed Jul 12 17:55:36 2023 3665.471 Series: E ( 97 ) 0.635%
+Wed Jul 12 17:58:53 2023 3862.242 Series: E ( 96 ) 0.668%
+Wed Jul 12 18:02:27 2023 4075.893 Series: E ( 95 ) 0.703%
+Wed Jul 12 18:06:17 2023 4306.181 Series: E ( 94 ) 0.740%
+Wed Jul 12 18:10:11 2023 4540.189 Series: E ( 93 ) 0.779%
+Wed Jul 12 18:14:05 2023 4774.432 Series: E ( 92 ) 0.820%
+Wed Jul 12 18:19:00 2023 5069.447 Series: E ( 91 ) 0.863%
+Wed Jul 12 18:24:08 2023 5377.385 Series: E ( 90 ) 0.908%
+Wed Jul 12 18:29:17 2023 5686.756 Series: E ( 89 ) 0.955%
+Wed Jul 12 18:34:38 2023 6006.906 Series: E ( 88 ) 1.005%
+Wed Jul 12 18:40:03 2023 6332.585 Series: E ( 87 ) 1.058%
+Wed Jul 12 18:46:06 2023 6694.923 Series: E ( 86 ) 1.113%
+Wed Jul 12 18:52:46 2023 7095.327 Series: E ( 85 ) 1.172%
+Wed Jul 12 18:59:30 2023 7499.777 Series: E ( 84 ) 1.233%
+Wed Jul 12 19:07:15 2023 7964.087 Series: E ( 83 ) 1.298%
+Wed Jul 12 19:14:54 2023 8423.820 Series: E ( 82 ) 1.366%
+Wed Jul 12 19:23:46 2023 8955.286 Series: E ( 81 ) 1.437%
+Wed Jul 12 19:32:39 2023 9488.831 Series: E ( 80 ) 1.513%
+Wed Jul 12 19:41:13 2023 10002.069 Series: E ( 79 ) 1.592%
+Wed Jul 12 19:51:25 2023 10614.853 Series: E ( 78 ) 1.675%
+Wed Jul 12 20:02:55 2023 11303.922 Series: E ( 77 ) 1.763%
+Wed Jul 12 20:14:41 2023 12010.283 Series: E ( 76 ) 1.855%
+Wed Jul 12 20:26:43 2023 12732.636 Series: E ( 75 ) 1.953%
+Wed Jul 12 20:39:04 2023 13473.190 Series: E ( 74 ) 2.055%
+Wed Jul 12 20:51:09 2023 14198.541 Series: E ( 73 ) 2.163%
+Wed Jul 12 21:06:28 2023 15117.426 Series: E ( 72 ) 2.276%
+Wed Jul 12 21:21:57 2023 16046.104 Series: E ( 71 ) 2.395%
+Wed Jul 12 21:38:22 2023 17031.022 Series: E ( 70 ) 2.521%
+Wed Jul 12 21:55:27 2023 18056.232 Series: E ( 69 ) 2.653%
+Wed Jul 12 22:13:15 2023 19124.449 Series: E ( 68 ) 2.792%
+Wed Jul 12 22:32:16 2023 20265.043 Series: E ( 67 ) 2.938%
+Wed Jul 12 22:51:31 2023 21420.494 Series: E ( 66 ) 3.092%
+Wed Jul 12 23:10:18 2023 22546.922 Series: E ( 65 ) 3.254%
+Wed Jul 12 23:35:29 2023 24058.024 Series: E ( 64 ) 3.425%
+Thu Jul 13 00:01:48 2023 25637.058 Series: E ( 63 ) 3.605%
+Thu Jul 13 00:28:16 2023 27225.869 Series: E ( 62 ) 3.794%
+Thu Jul 13 00:54:49 2023 28818.575 Series: E ( 61 ) 3.992%
+Thu Jul 13 01:20:47 2023 30376.348 Series: E ( 60 ) 4.202%
+Thu Jul 13 01:46:39 2023 31928.847 Series: E ( 59 ) 4.422%
+Thu Jul 13 02:17:38 2023 33787.656 Series: E ( 58 ) 4.654%
+Thu Jul 13 02:48:41 2023 35650.068 Series: E ( 57 ) 4.898%
+Thu Jul 13 03:25:02 2023 37831.363 Series: E ( 56 ) 5.155%
+Thu Jul 13 04:01:03 2023 39992.193 Series: E ( 55 ) 5.426%
+Thu Jul 13 04:41:27 2023 42416.339 Series: E ( 54 ) 5.710%
+Thu Jul 13 05:23:59 2023 44968.819 Series: E ( 53 ) 6.010%
+Thu Jul 13 06:05:00 2023 47429.700 Series: E ( 52 ) 6.325%
+Thu Jul 13 06:51:51 2023 50240.869 Series: E ( 51 ) 6.657%
+Thu Jul 13 07:45:48 2023 53477.397 Series: E ( 50 ) 7.007%
+Thu Jul 13 08:41:10 2023 56799.126 Series: E ( 49 ) 7.375%
+Thu Jul 13 09:35:32 2023 60061.633 Series: E ( 48 ) 7.762%
+Thu Jul 13 10:33:26 2023 63535.615 Series: S ( 47 ) 8.170%
+Thu Jul 13 11:40:50 2023 67579.177 Series: S ( 46 ) 8.599%
+Thu Jul 13 12:51:02 2023 71791.284 Series: S ( 45 ) 9.051%
+Thu Jul 13 14:06:33 2023 76322.008 Series: S ( 44 ) 9.526%
+Thu Jul 13 15:29:07 2023 81275.888 Series: S ( 43 ) 10.027%
+Thu Jul 13 16:59:00 2023 86669.746 Series: S ( 42 ) 10.554%
+Thu Jul 13 18:29:38 2023 92107.678 Series: S ( 41 ) 11.109%
+Thu Jul 13 20:12:44 2023 98292.932 Series: S ( 40 ) 11.693%
+Thu Jul 13 22:01:56 2023 104845.782 Series: S ( 39 ) 12.308%
+Thu Jul 13 23:50:57 2023 111386.289 Series: S ( 38 ) 12.956%
+Fri Jul 14 02:02:59 2023 119308.639 Series: S ( 37 ) 13.638%
+Fri Jul 14 04:26:20 2023 127909.469 Series: S ( 36 ) 14.356%
+Fri Jul 14 07:02:51 2023 137300.720 Series: S ( 35 ) 15.112%
+Fri Jul 14 09:34:48 2023 146417.240 Series: S ( 34 ) 15.908%
+Fri Jul 14 12:11:36 2023 155825.834 Series: S ( 33 ) 16.746%
+Fri Jul 14 14:49:18 2023 165287.816 Series: S ( 32 ) 17.629%
+Fri Jul 14 17:49:40 2023 176109.606 Series: S ( 31 ) 18.559%
+Fri Jul 14 20:52:48 2023 187097.123 Series: S ( 30 ) 19.538%
+Sat Jul 15 02:33:44 2023 207553.219 Series: S ( 29 ) 20.570%
+Sat Jul 15 08:16:38 2023 228127.667 Series: S ( 28 ) 21.656%
+Sat Jul 15 14:22:26 2023 250075.867 Series: S ( 27 ) 22.800%
+Sat Jul 15 20:56:38 2023 273727.871 Series: S ( 26 ) 24.006%
+Sun Jul 16 03:26:40 2023 297129.241 Series: S ( 25 ) 25.276%
+Sun Jul 16 10:45:28 2023 323457.260 Series: S ( 24 ) 26.614%
+Sun Jul 16 18:51:15 2023 352604.155 Series: S ( 23 ) 28.023%
+Mon Jul 17 03:44:03 2023 384572.074 Series: S ( 22 ) 29.509%
+Mon Jul 17 12:23:53 2023 415762.076 Series: S ( 21 ) 31.074%
+Mon Jul 17 21:37:11 2023 448960.837 Series: S ( 20 ) 32.724%
+Tue Jul 18 07:10:56 2023 483385.526 Series: S ( 19 ) 34.464%
+Tue Jul 18 17:36:11 2023 520900.218 Series: S ( 18 ) 36.297%
+Wed Jul 19 04:27:11 2023 559960.511 Series: S ( 17 ) 38.230%
+Wed Jul 19 17:01:13 2023 605202.878 Series: S ( 16 ) 40.269%
+Thu Jul 20 08:31:26 2023 661015.517 Series: S ( 15 ) 42.418%
+Thu Jul 20 23:53:56 2023 716365.184 Series: S ( 14 ) 44.686%
+Fri Jul 21 16:36:52 2023 776541.484 Series: S ( 13 ) 47.079%
+Sat Jul 22 10:23:37 2023 840546.775 Series: S ( 12 ) 49.604%
+Sun Jul 23 03:38:22 2023 902631.861 Series: S ( 11 ) 52.270%
+Mon Jul 24 00:21:29 2023 977218.758 Series: S ( 10 ) 55.085%
+Mon Jul 24 21:21:37 2023 1052826.734 Series: S ( 9 ) 58.059%
+Tue Jul 25 20:52:51 2023 1137500.239 Series: S ( 8 ) 61.202%
+Wed Jul 26 20:32:42 2023 1222691.550 Series: S ( 7 ) 64.526%
+Thu Jul 27 21:05:43 2023 1311072.757 Series: S ( 6 ) 68.042%
+Fri Jul 28 22:40:00 2023 1403129.122 Series: S ( 5 ) 71.766%
+Sun Jul 30 02:26:06 2023 1503095.542 Series: S ( 4 ) 75.715%
+Mon Jul 31 06:00:35 2023 1602363.941 Series: S ( 3 ) 79.907%
+Tue Aug 1 16:24:58 2023 1726227.415 Series: S ( 2 ) 84.369%
+Thu Aug 3 05:56:23 2023 1861312.641 Series: S ( 1 ) 89.135%
+Fri Aug 4 22:13:31 2023 2006340.120 Series: S ( 0 ) 94.266%
+Sun Aug 6 16:11:30 2023 2157419.296 Finishing Series
+Sun Aug 6 17:04:05 2023 2160574.508 Large Division
+Mon Aug 7 04:22:52 2023 2201301.467 Writing Hexadecimal Digits
+Mon Aug 7 04:48:28 2023 2202837.480 Base Converting
+Mon Aug 7 15:35:51 2023 2241680.582 Writing Decimal Digits
+Mon Aug 7 16:11:05 2023 2243794.349 Verifying Base Conversion
+Mon Aug 7 21:46:15 2023 2263904.784 Verifying Binary Output
+Mon Aug 7 21:55:23 2023 2264452.233 Verifying Decimal Output
+Mon Aug 7 21:58:37 2023 2264646.346 Verifying Hexadecimal Output
+Mon Aug 7 22:01:35 2023 2264823.999 End Computation
+
+----
+
+Checksum0: d72499de93dbdfd34f279a4d9b05401aa5c3e06f5d531115891717386a41da2d6e76e904de73ceb353b9c7a3763b3c101091159b2c477b23175e5b1a68e7ec72
+Checksum1: b7e1f9db3f40c244f0b6f3c2df74fe943996a948ba53409d0f6f6e04a3db12b2ff3131e169b3019ec4fbba2fc8fa25ef70ade54ad76fad88d052801f369222f6
diff --git a/academic/bigcomp/y-cruncher/validation/e - 20230609-215434.txt b/academic/bigcomp/y-cruncher/validation/e - 20230609-215434.txt
new file mode 100644
index 0000000..42c4bf4
--- /dev/null
+++ b/academic/bigcomp/y-cruncher/validation/e - 20230609-215434.txt
@@ -0,0 +1,252 @@
+Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation.
+
+Validation Version: 1.3
+
+Program: y-cruncher v0.7.10 Build 9513
+Tuning: 11-SNB ~ Hina
+
+User: None Specified - You can edit this in "Username.txt".
+
+Operating System: Linux 5.15.0-73-generic x86_64
+
+Processor(s):
+ Name: Intel(R) Xeon(R) CPU E5-2697 v2 @ 2.70GHz
+ Logical Cores: 48
+ Physical Cores: 24
+ Sockets: 2
+ NUMA Nodes: 2
+ Base Frequency: 2,699,959,648 Hz
+
+Motherboard:
+ Manufacturer: Dell Inc.
+ Model: 0C4Y3R
+ Version: A02
+ Serial Number: Suppressed - Personally identifiable information is opt-in only.
+
+Memory:
+ Usable Memory: 540,976,164,864 ( 504 GiB)
+ Total Memory: Unable to Detect
+
+Constant: e
+Algorithm: Taylor Series of exp(1)
+Decimal Digits: 1,000,000,000,050
+Hexadecimal Digits: 830,482,023,764
+Computation Mode: Swap Mode
+Threading Mode: Push Pool -> 48 / ? (randomization on)
+Working Memory: 514,722,327,744 ( 479 GiB)
+Total Memory: 515,396,075,520 ( 480 GiB)
+
+Logical Largest Checkpoint: 818,625,537,192 ( 762 GiB)
+Logical Peak Disk Usage: 4,410,995,419,200 (4.01 TiB)
+Logical Disk Bytes Read: 54,066,431,629,608 (49.2 TiB)
+Logical Disk Bytes Written: 45,036,983,003,792 (41.0 TiB)
+
+Configuration Dump:
+{
+ Constant : {
+ Constant : "e"
+ Algorithm : "exp(1)"
+ }
+ ComputeSize : {
+ DecimalDigits : 1000000000050
+ EnableHexDigits : "true"
+ }
+ Output : {
+ Framework : "ycd"
+ Path : ""
+ DigitsPerFile : 0
+ RawIO : "true"
+ }
+ OutputVerify : "true"
+ Mode : "swap"
+ Parallelism : {
+ TaskDecomposition : 48
+ Framework : "pushpool"
+ WorkerThreads : 0
+ Randomization : "true"
+ MaxSequentialDispatch : 64
+ }
+ Allocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ Memory : 515396075520
+ Checkpointing : {
+ Enabled : "true"
+ PostCheckpointCommand : ""
+ }
+ FarMemoryTuning : {
+ BytesPerSeek : 4194304
+ ParallelAccess : "none"
+ }
+ FarMemoryConfig : {
+ Framework : "disk-raid0"
+ InterleaveWidth : 262144
+ BufferPerLane : 67108864
+ Checksums : "true"
+ RawIO : "true"
+ Lanes : [
+ { // Lane 0
+ Path : "/mnt/y0"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 1
+ Path : "/mnt/y1"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 2
+ Path : "/mnt/y2"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 3
+ Path : "/mnt/y3"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 4
+ Path : "/mnt/y4"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 5
+ Path : "/mnt/y5"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 6
+ Path : "/mnt/y6"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46]
+ WorkerThreadPriority : 2
+ }
+ { // Lane 7
+ Path : "/mnt/y7"
+ BufferAllocator : {
+ Allocator : "interleave"
+ Hashed : "true"
+ mbind : "false"
+ LockedPages : "attempt"
+ Nodes : [0 1]
+ }
+ WorkerThreadCores : [1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47]
+ WorkerThreadPriority : 2
+ }
+ ]
+ }
+}
+
+Start Date: Thu Jun 8 12:08:48 2023
+End Date: Fri Jun 9 21:53:33 2023
+
+Total Computation Time: 102942.136 seconds
+Start-to-End Wall Time: 121485.257 seconds
+
+CPU Utilization: 1696.27 % + 2.40 % kernel overhead
+Multi-core Efficiency: 35.34 % + 0.05 % kernel overhead
+
+Last Decimal Digits:
+2664395560 1087470118 8467079708 9658078859 1924801417 : 1,000,000,000,000
+8820146406 2880333656 3899549549 2883032355 1957276434 : 1,000,000,000,050
+
+Last Hexadecimal Digits:
+cd95051eb5 cafd6ecd9b b8b0ce5ece 7472e6cab2 936dd314a7 : 830,482,023,750
+9f4bd2dff6 de27
+
+SHA256-dec(1,000,000,000,051 - 1,000,000,000,150): e3da0b2bd8a7f9a647491edd1e317cf057e307ed0e968a97943fbdf754d1f683
+
+Dec Counts: {100000379389,100000393073,100000003399,100000058653,100000013708,99999808191,99999441264,100000326138,100000156171,99999420064}
+Hex Counts: {51905062343,51905219708,51904757485,51905272410,51904795977,51905421390,51905508507,51905241267,51904963235,51905179059,51904934288,51904597643,51905197917,51905283905,51905147366,51905441264}
+
+Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 505628985401624292
+Hex Hash: Floor(|x| * 16^hex) mod (2^61 - 1) = 1004765912043083853
+
+Spot Check: Good through 1,000,000,000,000
+Timer Sanity Check: Passed
+Frequency Sanity Check: Disabled in this version of y-cruncher
+Reference Clock: TSC
+Reference Clock 0: 0
+Reference Clock 1: 107,795,157
+Reference Clock 2: 3,929,273
+Is Debugger Present: Unknown
+Is Contiguous: Yes
+ECC Recovered Errors: 0
+Colors: Yes
+
+Event Log:
+Thu Jun 8 12:08:48 2023 0.331 Working Memory
+Thu Jun 8 12:12:41 2023 233.442 Working Memory: 479 GiB (locked, spread: ?)
+Thu Jun 8 12:12:41 2023 233.442 Twiddle Tables
+Thu Jun 8 12:12:42 2023 233.551 Twiddle Tables: 131 MiB (locked, spread: ?)
+Thu Jun 8 12:12:42 2023 233.551 I/O Buffers
+Thu Jun 8 12:12:42 2023 233.669 I/O Buffers: 512 MiB (locked, spread: ?)
+Thu Jun 8 12:12:42 2023 233.670 Begin Computation
+Thu Jun 8 12:12:42 2023 233.670 Series Hyperdescent... 94,851,898,560 terms (Expansion Factor = 1.000)
+Fri Jun 9 00:54:33 2023 45944.607 Finishing Series
+Fri Jun 9 00:54:33 2023 45944.816 Large Division
+Fri Jun 9 08:58:23 2023 74974.858 Writing Hexadecimal Digits
+Fri Jun 9 09:35:46 2023 77218.129 Base Converting
+Fri Jun 9 17:25:47 2023 105419.161 Writing Decimal Digits
+Fri Jun 9 18:02:50 2023 107641.485 Verifying Base Conversion
+Fri Jun 9 21:42:10 2023 120801.604 Verifying Binary Output
+Fri Jun 9 21:47:26 2023 121117.895 Verifying Decimal Output
+Fri Jun 9 21:50:38 2023 121310.334 Verifying Hexadecimal Output
+Fri Jun 9 21:53:33 2023 121485.257 End Computation
+
+----
+
+Checksum0: 7e733b0a17191fef644318eefd2be9e9d7a5a1051f0206316fbaa356d7bcf0b2ec170db95df059e020e3c444fb16dad0aace878ab1d6d29d1fe41d4a750dcadb
+Checksum1: 2bd7cc33b6d71475a082970b4346f688c13eba1efebabac87b0e1f5618f29d40e17fe311d023544f492c4d9624fdbbcf6b7670c5e7cfadb0ec1fca2843d4703e
diff --git a/academic/index.html b/academic/index.html
index 28dfe1c..be91ab0 100644
--- a/academic/index.html
+++ b/academic/index.html
@@ -42,6 +42,7 @@