Average Error: 62.0 → 62.0
Time: 3.9s
Precision: 64
\[lo \lt -1 \cdot 10^{+308} \land hi \gt 10^{+308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r83777 = x;
        double r83778 = lo;
        double r83779 = r83777 - r83778;
        double r83780 = hi;
        double r83781 = r83780 - r83778;
        double r83782 = r83779 / r83781;
        return r83782;
}
↓
double f(double lo, double hi, double x) {
        double r83783 = x;
        double r83784 = lo;
        double r83785 = r83783 - r83784;
        double r83786 = hi;
        double r83787 = r83786 - r83784;
        double r83788 = r83785 / r83787;
        return r83788;
}

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 2019121 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))