Average Error: 62.0 → 62.0
Time: 729.0ms
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 r3918 = x;
        double r3919 = lo;
        double r3920 = r3918 - r3919;
        double r3921 = hi;
        double r3922 = r3921 - r3919;
        double r3923 = r3920 / r3922;
        return r3923;
}
↓
double f(double lo, double hi, double x) {
        double r3924 = x;
        double r3925 = lo;
        double r3926 = r3924 - r3925;
        double r3927 = hi;
        double r3928 = r3927 - r3925;
        double r3929 = r3926 / r3928;
        return r3929;
}

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 2020049 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))