Benchmark Validation File - DO NOT MODIFY! If you do, it will fail validation. Validation Version: 1.3 Program: y-cruncher v0.8.3 Build 9532 Tuning: 22-ZN4 ~ Kizuna User: Dr. Mamdouh Barakat Operating System: Linux 6.1.0-11-amd64 x86_64 Processor(s): Name: AMD Ryzen 9 7900X 12-Core Processor Logical Cores: 24 Physical Cores: 12 Sockets: 1 NUMA Nodes: 1 Base Frequency: 4,699,975,184 Hz Motherboard: Manufacturer: ASRockRack Model: B650D4U-2L2T/BCM Version: Serial Number: Suppressed - Personally identifiable information is opt-in only. Memory: Usable Memory: 134,208,446,464 ( 125 GiB) Total Memory: Unable to Detect Constant: Custom - Gamma(1/4) Algorithm: Lemniscate Zuniga (2023-ix) Decimal Digits: 1,001,001,001,001 Hexadecimal Digits: Disabled Computation Mode: Swap Mode Threading Mode: Central Dispatch Queue -> 48 / ? Working Memory: 15,491,867,853 (14.4 GiB) Total Memory: 67,104,241,485 (62.5 GiB) Logical Largest Checkpoint: 1,862,655,381,968 (1.69 TiB) Logical Peak Disk Usage: 5,526,596,024,920 (5.03 TiB) Logical Disk Bytes Read: 1,071,933,689,934,764 ( 975 TiB) Logical Disk Bytes Written: 954,222,302,805,820 ( 868 TiB) Configuration Dump: { Constant : { Constant : "custom" NameShort : "Gamma(¼)" NameLong : "Gamma(1/4)" AlgorithmShort : "Lemniscate Zuniga (2023-ix)" AlgorithmLong : "Lemniscate Zuniga (2023-ix)" Formula : { InvNthRoot : [ 8 { LinearCombination : [ [ 322 { Power : [ { Multiply : [ { Power : [ { SeriesHypergeometric : { Power : -1 CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 PolynomialP : [0 0 110094756835840 -440362836049920 440352218808320] PolynomialQ : [0 0 11008380780544 -44033523122176 44033523122176] PolynomialR : [3465 -35136 114176 -147456 65536] } } 2 ] } { Power : [ { Pi : { Power : -1 } } 3 ] } ] } 2 ] } ] ] } ] } } ComputeSize : { DecimalDigits : 1001001001001 EnableHexDigits : false } Output : { Framework : "ycd" Path : "/N2328E6EEF07F/mb12d/" DigitsPerFile : 100000000000 RawIO : true } OutputVerify : true Mode : "swap" Parallelism : { TaskDecomposition : 48 Framework : "taskqueue" WorkerThreads : 0 } Allocator : { Threads : 8 Allocator : "mmap" LargePages : "attempt" LockedPages : "attempt" } Memory : 67104197837 Checkpointing : { Enabled : true PostCheckpointCommand : "" } FarMemoryTuning : [ { SizeInBytes : -1 BytesPerSeek : 1048576 PreferredAlignmentK : 12 ParallelAccess : "readwrite" } ] FarMemoryConfig : { Framework : "disk-raid0" InterleaveWidth : 4096 LaneMultiplier : 2 Workers : 2 BufferPerWorker : 6442450944 Checksums : true RawIO : true ReadProtect : true TuningDefault : "ssd" Lanes : [ { // Lane 0 Path : "mb12d" BufferAllocator : { Threads : 8 Allocator : "mmap" LargePages : "attempt" LockedPages : "attempt" } WorkerThreadCores : [] WorkerThreadPriority : 2 } { // Lane 1 Path : "/N2328E6EEF07F/mb12d" BufferAllocator : { Threads : 8 Allocator : "mmap" LargePages : "attempt" LockedPages : "attempt" } WorkerThreadCores : [] WorkerThreadPriority : 2 } ] } } Start Date: Fri Dec 22 23:37:53 2023 End Date: Mon May 20 07:13:31 2024 Total Computation Time: 12758581.014 seconds Start-to-End Wall Time: 12900937.939 seconds CPU Utilization: 58.85 % + 16.60 % kernel overhead Multi-core Efficiency: 2.45 % + 0.69 % kernel overhead Last Decimal Digits: 4639890349 8125403602 3092305069 1987026299 9755288173 : 1,001,001,001,000 4 SHA256-dec(1,001,001,001,002 - 1,001,001,001,101): 1b1e7ceded07f33d7972b56aa2e686defe9001e81c5186ce62dbde4ddf8497ab Dec Counts: {100099791265,100100027279,100100007293,100099715041,100100761734,100099969977,100100059754,100100186322,100100269096,100100213240} Dec Hash: Floor(|x| * 10^dec) mod (2^61 - 1) = 1399779926603117872 Spot Check: Good through 500,000,000,000 Timer Sanity Check: Passed Frequency Sanity Check: Disabled in this version of y-cruncher Reference Clock: TSC Reference Clock 0: 0 Reference Clock 1: 145,692,398 Reference Clock 2: 29,171,714 Is Debugger Present: Unknown Is Contiguous: Yes ECC Recovered Errors: 0 Colors: Yes Event Log: Fri Dec 22 23:37:53 2023 0.427 Working Memory Fri Dec 22 23:38:12 2023 19.023 Working Memory: 14.4 GiB (locked, spread: 100%/1) Fri Dec 22 23:38:12 2023 19.023 Twiddle Tables Fri Dec 22 23:38:12 2023 19.137 Twiddle Tables: 21.4 MiB (locked, spread: 100%/1) Fri Dec 22 23:38:12 2023 19.137 I/O Buffers Fri Dec 22 23:39:05 2023 71.683 I/O Buffers: 48.0 GiB (locked, spread: 100%/1) Fri Dec 22 23:39:05 2023 71.683 Begin Computation Fri Dec 22 23:39:05 2023 71.683 Series CommonP2B3... 113,398,276,244 terms (Expansion Factor = 6.358) Fri Dec 22 23:39:05 2023 71.683 Series: A ( 77 ) 0.000% Fri Dec 22 23:39:05 2023 71.807 Series: A ( 76 ) 0.000% Fri Dec 22 23:39:05 2023 72.073 Series: A ( 75 ) 0.001% Fri Dec 22 23:39:05 2023 72.391 Series: A ( 74 ) 0.002% Fri Dec 22 23:39:06 2023 72.717 Series: A ( 73 ) 0.002% Fri Dec 22 23:39:06 2023 73.053 Series: A ( 72 ) 0.003% Fri Dec 22 23:39:06 2023 73.408 Series: A ( 71 ) 0.003% Fri Dec 22 23:39:07 2023 73.761 Series: E ( 70 ) 0.004% Fri Dec 22 23:39:07 2023 74.132 Series: E ( 69 ) 0.005% Fri Dec 22 23:39:08 2023 74.560 Series: E ( 68 ) 0.005% Fri Dec 22 23:39:08 2023 75.047 Series: E ( 67 ) 0.006% Fri Dec 22 23:39:09 2023 75.630 Series: E ( 66 ) 0.007% Fri Dec 22 23:39:09 2023 76.304 Series: E ( 65 ) 0.008% Fri Dec 22 23:39:10 2023 77.066 Series: E ( 64 ) 0.009% Fri Dec 22 23:39:11 2023 78.012 Series: E ( 63 ) 0.011% Fri Dec 22 23:39:12 2023 79.046 Series: E ( 62 ) 0.012% Fri Dec 22 23:39:13 2023 80.096 Series: E ( 61 ) 0.014% Fri Dec 22 23:39:14 2023 81.279 Series: E ( 60 ) 0.017% Fri Dec 22 23:39:16 2023 82.633 Series: E ( 59 ) 0.019% Fri Dec 22 23:39:17 2023 84.279 Series: E ( 58 ) 0.022% Fri Dec 22 23:39:19 2023 86.083 Series: E ( 57 ) 0.025% Fri Dec 22 23:39:21 2023 88.113 Series: E ( 56 ) 0.029% Fri Dec 22 23:39:23 2023 90.459 Series: E ( 55 ) 0.034% Fri Dec 22 23:39:26 2023 93.147 Series: E ( 54 ) 0.039% Fri Dec 22 23:39:29 2023 96.452 Series: E ( 53 ) 0.045% Fri Dec 22 23:39:33 2023 100.203 Series: E ( 52 ) 0.051% Fri Dec 22 23:39:37 2023 104.295 Series: E ( 51 ) 0.059% Fri Dec 22 23:39:42 2023 109.235 Series: E ( 50 ) 0.068% Fri Dec 22 23:39:48 2023 114.736 Series: E ( 49 ) 0.079% Fri Dec 22 23:39:54 2023 121.386 Series: E ( 48 ) 0.091% Fri Dec 22 23:40:02 2023 129.068 Series: E ( 47 ) 0.105% Fri Dec 22 23:40:11 2023 137.882 Series: E ( 46 ) 0.121% Fri Dec 22 23:40:21 2023 148.214 Series: E ( 45 ) 0.139% Fri Dec 22 23:40:33 2023 160.248 Series: E ( 44 ) 0.160% Fri Dec 22 23:40:48 2023 174.539 Series: E ( 43 ) 0.185% Fri Dec 22 23:41:04 2023 191.003 Series: E ( 42 ) 0.213% Fri Dec 22 23:41:39 2023 226.208 Series: S ( 41 ) 0.246% Fri Dec 22 23:43:09 2023 316.260 Series: S ( 40 ) 0.283% Fri Dec 22 23:46:37 2023 523.896 Series: S ( 39 ) 0.326% Fri Dec 22 23:49:10 2023 676.774 Series: S ( 38 ) 0.376% Fri Dec 22 23:55:10 2023 1036.775 Series: S ( 37 ) 0.433% Fri Dec 22 23:59:16 2023 1282.736 Series: S ( 36 ) 0.499% Sat Dec 23 00:16:35 2023 2321.792 Series: S ( 35 ) 0.576% Sat Dec 23 00:30:40 2023 3166.560 Series: S ( 34 ) 0.663% Sat Dec 23 01:24:28 2023 6394.725 Series: S ( 33 ) 0.765% Sat Dec 23 02:04:40 2023 8806.607 Series: S ( 32 ) 0.881% Sat Dec 23 03:23:37 2023 13544.310 Series: S ( 31 ) 1.016% Sat Dec 23 04:38:08 2023 18014.663 Series: S ( 30 ) 1.171% Sat Dec 23 06:00:41 2023 22967.570 Series: S ( 29 ) 1.350% Sat Dec 23 07:55:44 2023 29871.179 Series: S ( 28 ) 1.555% Sat Dec 23 09:43:20 2023 36326.479 Series: S ( 27 ) 1.793% Sat Dec 23 12:52:43 2023 47689.864 Series: S ( 26 ) 2.067% Sat Dec 23 15:45:44 2023 58070.868 Series: S ( 25 ) 2.382% Sat Dec 23 19:24:41 2023 71207.516 Series: S ( 24 ) 2.746% Sun Dec 24 00:16:44 2023 88731.349 Series: S ( 23 ) 3.165% Sun Dec 24 04:27:53 2023 103799.705 Series: S ( 22 ) 3.648% Sun Dec 24 11:12:40 2023 128087.384 Series: S ( 21 ) 4.206% Sun Dec 24 18:42:53 2023 155100.155 Series: S ( 20 ) 4.848% Mon Dec 25 03:19:57 2023 186123.655 Series: S ( 19 ) 5.589% Mon Dec 25 16:24:47 2023 233214.148 Series: S ( 18 ) 6.443% Tue Dec 26 03:14:43 2023 272210.129 Series: S ( 17 ) 7.428% Tue Dec 26 21:34:54 2023 338221.265 Series: S ( 16 ) 8.564% Wed Dec 27 14:48:40 2023 400246.965 Series: S ( 15 ) 9.875% Thu Dec 28 13:45:43 2023 482870.017 Series: S ( 14 ) 11.386% Fri Dec 29 16:34:10 2023 579376.920 Series: S ( 13 ) 13.130% Sat Dec 30 22:43:09 2023 687916.186 Series: S ( 12 ) 15.142% Mon Jan 1 13:15:23 2024 826650.382 Series: S ( 11 ) 17.465% Wed Jan 3 11:01:52 2024 991439.120 Series: S ( 10 ) 20.146% Fri Jan 5 19:39:58 2024 1195324.600 Series: S ( 9 ) 23.242% Mon Jan 8 14:21:10 2024 1435397.343 Series: S ( 8 ) 26.819% Thu Jan 11 14:49:38 2024 1696304.607 Series: S ( 7 ) 30.953% Mon Jan 15 13:52:19 2024 2038465.656 Series: S ( 6 ) 35.733% Sat Jan 20 06:40:13 2024 2444539.468 Series: S ( 5 ) 41.265% Thu Jan 25 17:12:30 2024 2914477.408 Series: S ( 4 ) 47.674% Wed Jan 31 08:37:50 2024 3401996.681 Series: S ( 3 ) 55.108% Thu Feb 8 12:49:17 2024 4108284.084 Series: S ( 2 ) 63.750% Sat Feb 17 17:22:22 2024 4902268.761 Series: S ( 1 ) 73.829% Wed Feb 28 04:36:21 2024 5806708.372 Series: S ( 0 ) 85.665% Mon Mar 11 07:04:02 2024 6852369.123 Finishing Series Mon Mar 11 07:08:01 2024 6852608.278 Large Division Wed Mar 13 20:59:22 2024 7075289.004 Squaring Fri Mar 15 00:53:41 2024 7175747.815 Pi - Chudnovsky (1988): Fri Mar 15 00:53:41 2024 7175747.816 Series CommonP2B3... 70,584,253,614 terms (Expansion Factor = 3.334) Fri Mar 15 00:53:41 2024 7175747.817 Series: A ( 42 ) 0.000% Fri Mar 15 00:53:41 2024 7175748.028 Series: A ( 41 ) 0.001% Fri Mar 15 00:53:41 2024 7175748.352 Series: A ( 40 ) 0.002% Fri Mar 15 00:53:42 2024 7175748.695 Series: E ( 39 ) 0.003% Fri Mar 15 00:53:42 2024 7175749.045 Series: E ( 38 ) 0.004% Fri Mar 15 00:53:42 2024 7175749.431 Series: E ( 37 ) 0.006% Fri Mar 15 00:53:43 2024 7175749.917 Series: E ( 36 ) 0.007% Fri Mar 15 00:53:44 2024 7175750.576 Series: E ( 35 ) 0.010% Fri Mar 15 00:53:44 2024 7175751.448 Series: E ( 34 ) 0.012% Fri Mar 15 00:53:46 2024 7175752.472 Series: E ( 33 ) 0.016% Fri Mar 15 00:53:47 2024 7175753.691 Series: E ( 32 ) 0.021% Fri Mar 15 00:53:48 2024 7175755.360 Series: E ( 31 ) 0.027% Fri Mar 15 00:53:50 2024 7175757.366 Series: E ( 30 ) 0.034% Fri Mar 15 00:53:53 2024 7175760.014 Series: E ( 29 ) 0.044% Fri Mar 15 00:53:56 2024 7175763.458 Series: E ( 28 ) 0.057% Fri Mar 15 00:54:01 2024 7175767.763 Series: E ( 27 ) 0.074% Fri Mar 15 00:54:07 2024 7175773.582 Series: E ( 26 ) 0.095% Fri Mar 15 00:54:14 2024 7175781.102 Series: E ( 25 ) 0.123% Fri Mar 15 00:54:24 2024 7175790.926 Series: E ( 24 ) 0.159% Fri Mar 15 00:54:37 2024 7175804.306 Series: E ( 23 ) 0.206% Fri Mar 15 00:55:23 2024 7175849.687 Series: S ( 22 ) 0.266% Fri Mar 15 00:56:50 2024 7175937.073 Series: S ( 21 ) 0.343% Fri Mar 15 00:59:45 2024 7176111.701 Series: S ( 20 ) 0.444% Fri Mar 15 01:04:58 2024 7176425.103 Series: S ( 19 ) 0.573% Fri Mar 15 01:13:17 2024 7176924.049 Series: S ( 18 ) 0.741% Fri Mar 15 01:42:55 2024 7178702.099 Series: S ( 17 ) 0.957% Fri Mar 15 02:33:57 2024 7181764.457 Series: S ( 16 ) 1.236% Fri Mar 15 03:27:58 2024 7185005.252 Series: S ( 15 ) 1.597% Fri Mar 15 04:55:24 2024 7190250.520 Series: S ( 14 ) 2.064% Fri Mar 15 07:13:27 2024 7198534.448 Series: S ( 13 ) 2.666% Fri Mar 15 10:28:11 2024 7210218.225 Series: S ( 12 ) 3.445% Fri Mar 15 15:04:47 2024 7226813.633 Series: S ( 11 ) 4.452% Fri Mar 15 21:50:26 2024 7251152.697 Series: S ( 10 ) 5.754% Sat Mar 16 07:16:17 2024 7285103.549 Series: S ( 9 ) 7.436% Sun Mar 17 00:39:31 2024 7347697.792 Series: S ( 8 ) 9.612% Sun Mar 17 22:09:10 2024 7425076.764 Series: S ( 7 ) 12.426% Mon Mar 18 23:42:27 2024 7517073.928 Series: S ( 6 ) 16.069% Wed Mar 20 14:59:52 2024 7658519.287 Series: S ( 5 ) 20.785% Fri Mar 22 23:43:13 2024 7862720.029 Series: S ( 4 ) 26.896% Tue Mar 26 06:39:56 2024 8146923.025 Series: S ( 3 ) 34.826% Sat Mar 30 11:14:58 2024 8509025.255 Series: S ( 2 ) 45.132% Fri Apr 5 16:32:48 2024 9046495.417 Series: S ( 1 ) 58.571% Sun Apr 14 15:14:51 2024 9819418.359 Series: S ( 0 ) 76.203% Fri Apr 26 15:26:22 2024 10856908.666 Finishing Series Fri Apr 26 19:43:30 2024 10872336.582 Large Division Mon Apr 29 21:14:00 2024 11136966.761 InvSqrt(10005)... Wed May 1 05:08:49 2024 11251855.993 Large Multiply Fri May 3 00:23:05 2024 11407511.471 Verify Large Multiply Fri May 3 00:54:38 2024 11409405.182 Powering Sun May 5 09:25:58 2024 11612885.003 Large Multiply Tue May 7 03:53:28 2024 11765735.329 Squaring Wed May 8 07:05:02 2024 11863629.042 Small Multiply Wed May 8 08:32:03 2024 11868850.080 Radical x^(-1/8)... Wed May 15 08:08:42 2024 12472248.548 Base Converting Sat May 18 15:47:40 2024 12758986.557 Writing Decimal Digits Sat May 18 18:38:48 2024 12769255.221 Verifying Base Conversion Mon May 20 06:54:37 2024 12899803.949 Verifying Decimal Output Mon May 20 07:13:31 2024 12900937.940 End Computation ---- Checksum0: 54f6a578a1daf1aed1cea7a171accde2654db6e4283c48414646053974859b82257b6bd73c05654b55df891877052ce678d923935ab48ed452c827dd8523feba Checksum1: 803ab233230ac0de2cfec961fe38ff648702c46b20ee136e6fab36a1c062245b40926e02b31fab207588afe60831f6c7c2984b16a741bb89c13d7fe6dc0ab399