Average Error: 0.0 → 0.0
Time: 59.7s
Precision: 64
Internal Precision: 384
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\log_* (1 + (e^{\frac{-\left(f + n\right)}{f - n}} - 1)^*)\]

Error

Bits error versus f

Bits error versus n

Derivation

  1. Initial program 0.0

    \[\frac{-\left(f + n\right)}{f - n}\]
  2. Using strategy rm

  3. Applied log1p-expm1-u0.0

    \[\leadsto \color{blue}{\log_* (1 + (e^{\frac{-\left(f + n\right)}{f - n}} - 1)^*)}\]

Runtime

Time bar (total: 59.7s)Debug logProfile

herbie shell --seed '#(1070609872 3456127585 2380521889 2328837196 1765472538 734540918)' +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))