Average Error: 62.0 → 62.0
Time: 4.0s
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 r83792 = x;
        double r83793 = lo;
        double r83794 = r83792 - r83793;
        double r83795 = hi;
        double r83796 = r83795 - r83793;
        double r83797 = r83794 / r83796;
        return r83797;
}
↓
double f(double lo, double hi, double x) {
        double r83798 = x;
        double r83799 = lo;
        double r83800 = r83798 - r83799;
        double r83801 = hi;
        double r83802 = r83801 - r83799;
        double r83803 = r83800 / r83802;
        return r83803;
}

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 2019112 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))