Version 0.8.4.9538

With the exception of AMD's Bulldozer line of processors, this release is expected to have minor to negligible performance changes from v0.8.3. Benchmarks should still be comparable going all the way back to v0.8.2.

General Changes:

• The limit of y-cruncher has been (tentatively) increased from 1 x 10¹⁵ to 108 x 10¹⁵ decimal digits. Computations above 200 trillion digits will still require developer authorization for now. The Euler-Mascheroni Constant has a lower limit of around 31 x 10¹⁵ digits due to the current implementation overflowing a 64-bit integer at a lower size.

• The swap mode radix conversion has been completely rewritten and now supports checkpointing.

• Replaced the "11-BD1" binary with "12-BD2" with the following changes:

  • 12-BD2 uses FMA3 instead of FMA4.
  • Optimizations for 1st gen AMD Bulldozer are therefore dropped.
  • Change of compiler from MSVC to ICC for Windows.

• Validation files now include more samples of digits.

• Validation files now records statistics for hexadecimal digits even if they are disabled for output.

Math Changes:

• Log(x) for both the built-in constant and the custom formula function will now special case for powers of 2, 3, and 5 using these new (and faster) formulas by Jorge Zuniga.

  • Log(2) - Zuniga (2024-i)
  • Log(2) - Zuniga (2024-ii)
  • Log(3) - Zuniga (2024-i)
  • Log(5) - Zuniga (2024-i)

• The BBP digit extractor now supports Huvent's BBP formula which is slightly faster than Bellard's.

Custom Formula Changes:

• New Functions:

  • Square(x)
  • Reciprocal(x)
  • Log2
  • Exp(x)
  • All hyperbolic trig functions.
  • All inverse hyperbolic trig functions.

• Divide(x, y) will now special case for x being a small integer. It is no longer necessary to use Power(x, -1) and LinearCombination() to get the same effect performance-wise.

• ArcCoth(x) now supports non-integer inputs.

• Power(x, y) now supports non-integer powers.

• Invsqrt(x) of a large number and all dependent functions are slightly faster. (affects Sqrt(x), AGM(x), and Log(x))

All functions that internally require a constant (such as Pi, e, or log(2)) can optionally take them as parameters to avoid recomputing them. This deprecates Log-AGM since the ability to specify Pi and log(2) has been added to Log(x) itself.

As a result of these new functions, there are a lot of new formulas as well as modifications to existing ones.

Bug Fixes:

• Fixed the Amdahl's Law + Zen4 Hazard debacle affecting swap mode computations on machines with many cores.
• Carryout parallelization for the VT3 and N63 algorithms has been fixed and re-enabled.
• Fixed a bug that may cause extremely large swap mode multiplications to pick suboptimal parameters.

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Anti-Virus False Positives:

I don't know why this release is particularly bad, but it seems nearly every single anti-virus scanner is flagging the "y-cruncher.exe" binary as malware. So far this has been reported to Microsoft and Symantec and both have confirmed that it is indeed a false positive.

The "y-cruncher.exe" binary is actually open-sourced. You can reproduce the binary by building this Visual Studio project: https://github.com/Mysticial/y-cruncher/tree/master/trunk/VSS%20-%20Launcher Feel free to do this if you still don't trust me.