sin(10°) (1 Mrd. Stellen; accurate to 1 billion digits)

  

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sin[10°] =0.173648177666930348851716626769314796000375677184069387236241378...

a) Calc sin(10°) with hypergeometric Function:




cfg file for y-cruncher: sin(10°) ...in Arbeit... cfg
Validation file: sin(10Deg) ...n Arbeit... txt

b) Calc sin(10°) with Iteration :



My formula: sin[10°] =

cfg file for y-cruncher: sin(10°) ...n Arbeit... cfg
Validation file: sin(10Deg) ...n Arbeit... txt
y-cruncher Screenshot: a)                                                 b)










Gerd Lamprecht, Deutschland 26.11.2024


Benchmark 333 Mio. digits:
Software   |  Algor.   |  Time
-----------+-----------+---------
YMP        |Householder|   8 s
y-cruncher |Householder|  20 s (because functions and variable number of digits are missing)
Mathematica|Root[]:    | 191 s
y-cruncher |2F1(..)    | 454 s
Mathematica|Sin[10 Deg]|4025 s


Benchmark 10^9 digits:
Software   |  Algor.   |  Time
-----------+-----------+---------
YMP        |Householder|  30 s
y-cruncher |Householder|  68 s (because functions and variable number of digits are missing)
y-cruncher |2F1(..)    |1716 s





Date Announced Date Completed: Source: Who: Constant: Decimal Digits: Time: Computer:
Dec 03, 2024 Dec 03, 2024 Source Gerd Lamprecht sin(1°) 1,000,000,000 Compute:  85 s YMP
Verify: -
Intel Core i9 7900X
32 GB
November 26, 2024 November 26, 2024 Source Gerd Lamprecht sin(10°) 1,000,000,000 Compute:  28.6 min
Verify: 1.2 min
Intel Core i9 7900X
32 GB
November 24, 2024 November 24, 2024 Source Gerd Lamprecht sin(3°) 3,000,000,000 Compute:  37 s
Verify: 28 s
Intel Core i9 7900X
32 GB
November 13, 2024 November 13, 2024 Source Gerd Lamprecht Gamma(1/10) 3,000,000,000 Compute:  46 minutes
Not Verified
Intel Core i9 7900X
32 GB
November 10, 2024 November 10, 2024 Source Gerd Lamprecht Gamma(1/24) 3,000,000,000 Compute:  17 minutes
Not Verified
Intel Core i9 7900X
32 GB
November 07, 2024 November 07, 2024 Source Gerd Lamprecht Gamma(1/8) 4,000,000,000 Compute:  28 minutes
Verify: 17 min
Intel Core i9 7900X
32 GB
October 20, 2024 October 19, 2024 Source Gerd Lamprecht Gamma(1/5) 3,000,000,010 Compute:  48.5 minutes
Verified by Alexander Yee
Intel Core i9 7900X
32 GB

Links:
03.11.2024: ExotischeGammawerte-Gamma1d5 (3 Mrd. Stellen {3 bio digits})
07.11.2024: New-formula-Gamma1d8 (4 Mrd. Stellen {4 bio digits})
10.11.2024: https: Liste-mathematische-Rekorde
10.11.2024: http: Liste-mathematische-Rekorde
10.11.2024: y-cruncher/records