Average Error: 62.0 → 62.0
Time: 3.7s
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 r21894 = x;
        double r21895 = lo;
        double r21896 = r21894 - r21895;
        double r21897 = hi;
        double r21898 = r21897 - r21895;
        double r21899 = r21896 / r21898;
        return r21899;
}
↓
double f(double lo, double hi, double x) {
        double r21900 = x;
        double r21901 = lo;
        double r21902 = r21900 - r21901;
        double r21903 = hi;
        double r21904 = r21903 - r21901;
        double r21905 = r21902 / r21904;
        return r21905;
}

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 2019208 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))