Average Error: 62.0 → 52.0
Time: 19.3s
Precision: 64
Internal Precision: 576
\[\frac{x - lo}{hi - lo}\]
↓
\[1\]

Error

Bits error versus lo

Bits error versus hi

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.0

    \[\frac{x - lo}{hi - lo}\]
  2. Using strategy rm

  3. Applied div-sub62.0

    \[\leadsto \color{blue}{\frac{x}{hi - lo} - \frac{lo}{hi - lo}}\]

  4. Taylor expanded around 0 52.0

    \[\leadsto \color{blue}{1}\]

  5. Final simplification52.0

    \[\leadsto 1\]

Runtime

Time bar (total: 19.3s)Debug logProfile

herbie shell --seed 2018225 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))