Average Error: 62.0 → 62.0
Time: 764.0ms
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 r11890 = x;
        double r11891 = lo;
        double r11892 = r11890 - r11891;
        double r11893 = hi;
        double r11894 = r11893 - r11891;
        double r11895 = r11892 / r11894;
        return r11895;
}
↓
double f(double lo, double hi, double x) {
        double r11896 = x;
        double r11897 = lo;
        double r11898 = r11896 - r11897;
        double r11899 = hi;
        double r11900 = r11899 - r11897;
        double r11901 = r11898 / r11900;
        return r11901;
}

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 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))