Average Error: 62.0 → 62.0
Time: 758.0ms
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r19125 = x;
        double r19126 = lo;
        double r19127 = r19125 - r19126;
        double r19128 = hi;
        double r19129 = r19128 - r19126;
        double r19130 = r19127 / r19129;
        return r19130;
}
↓
double f(double lo, double hi, double x) {
        double r19131 = x;
        double r19132 = lo;
        double r19133 = r19131 - r19132;
        double r19134 = hi;
        double r19135 = r19134 - r19132;
        double r19136 = r19133 / r19135;
        return r19136;
}

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. Final simplification62.0

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

Reproduce

herbie shell --seed 2019353 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))