Average Error: 62.0 → 62.0
Time: 5.2s
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 r158788 = x;
        double r158789 = lo;
        double r158790 = r158788 - r158789;
        double r158791 = hi;
        double r158792 = r158791 - r158789;
        double r158793 = r158790 / r158792;
        return r158793;
}
↓
double f(double lo, double hi, double x) {
        double r158794 = x;
        double r158795 = lo;
        double r158796 = r158794 - r158795;
        double r158797 = hi;
        double r158798 = r158797 - r158795;
        double r158799 = r158796 / r158798;
        return r158799;
}

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 2019125 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))