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Optimize exp() and log() in all precision ranges #156

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ckormanyos opened this issue May 25, 2022 · 0 comments
Open

Optimize exp() and log() in all precision ranges #156

ckormanyos opened this issue May 25, 2022 · 0 comments
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optimization

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@ckormanyos
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Some optimization of exp() and log() is probably possible in all precision ranges.

  • Ensure that no excessive divisions/inversions are happening.
  • Find the right threshold for cutoff exp() Taylor series versus Newton iteration (at the moment 2,001 decimal digits).
  • Scale argument of exp(x) down for large x.
  • Try for trial implementation of exp() via AGM methods and see if this beats classic Newton iteration.
  • Make dedicated tests for low-precision logarithm.
@ckormanyos ckormanyos self-assigned this May 25, 2022
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