Average Error: 0.2 → 0.2
Time: 16.7s
Precision: 64
Internal Precision: 576
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\log_* (1 + (e^{\frac{a}{-\cos^{-1} a}} - 1)^*)\]

Error

Bits error versus a

Derivation

  1. Initial program 0.2

    \[\frac{a}{-\cos^{-1} a}\]
  2. Using strategy rm

  3. Applied log1p-expm1-u0.2

    \[\leadsto \color{blue}{\log_* (1 + (e^{\frac{a}{-\cos^{-1} a}} - 1)^*)}\]

Runtime

Time bar (total: 16.7s)Debug logProfile

herbie shell --seed '#(1071948828 1180510430 2986424009 997076509 406109801 420189285)' +o rules:numerics
(FPCore (a)
  :name "Random Jason Timeout Test 010"
  (/ a (- (acos a))))