Average Error: 0.2 → 0.2
Time: 23.5s
Precision: 64
Internal Precision: 576
\[\frac{a}{-\cos^{-1} a}\]
↓
\[(e^{\log_* (1 + \frac{a}{-\cos^{-1} a})} - 1)^*\]

Error

Bits error versus a

Derivation

  1. Initial program 0.2

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

  3. Applied expm1-log1p-u0.2

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

Runtime

Time bar (total: 23.5s)Debug logProfile

herbie shell --seed '#(1072840222 1305617769 1692503039 1353360431 4178980589 1488672652)' +o rules:numerics
(FPCore (a)
  :name "Random Jason Timeout Test 010"
  (/ a (- (acos a))))