Average Error: 62.0 → 62.0
Time: 3.1s
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 r1828914 = x;
        double r1828915 = lo;
        double r1828916 = r1828914 - r1828915;
        double r1828917 = hi;
        double r1828918 = r1828917 - r1828915;
        double r1828919 = r1828916 / r1828918;
        return r1828919;
}
↓
double f(double lo, double hi, double x) {
        double r1828920 = x;
        double r1828921 = lo;
        double r1828922 = r1828920 - r1828921;
        double r1828923 = hi;
        double r1828924 = r1828923 - r1828921;
        double r1828925 = r1828922 / r1828924;
        return r1828925;
}

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 2019165 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))