Average Error: 62.0 → 62.0
Time: 2.8s
Precision: 64
Internal Precision: 128
\[\frac{x - lo}{hi - lo}\]
↓
\[0\]

Error

Bits error versus lo

Bits error versus hi

Bits error versus x

Derivation

  1. Initial program 62.0

    \[\frac{x - lo}{hi - lo}\]

  2. Taylor expanded around -inf 62.0

    \[\leadsto \color{blue}{0}\]

  3. Final simplification62.0

    \[\leadsto 0\]

Reproduce

herbie shell --seed 2019052 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))