Average Error: 62.0 → 62.0
Time: 2.2s
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 r22888 = x;
        double r22889 = lo;
        double r22890 = r22888 - r22889;
        double r22891 = hi;
        double r22892 = r22891 - r22889;
        double r22893 = r22890 / r22892;
        return r22893;
}
↓
double f(double lo, double hi, double x) {
        double r22894 = x;
        double r22895 = lo;
        double r22896 = r22894 - r22895;
        double r22897 = hi;
        double r22898 = r22897 - r22895;
        double r22899 = r22896 / r22898;
        return r22899;
}

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 2019291 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))