Average Error: 62.0 → 62.0
Time: 2.5s
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r22870 = x;
        double r22871 = lo;
        double r22872 = r22870 - r22871;
        double r22873 = hi;
        double r22874 = r22873 - r22871;
        double r22875 = r22872 / r22874;
        return r22875;
}
↓
double f(double lo, double hi, double x) {
        double r22876 = x;
        double r22877 = lo;
        double r22878 = r22876 - r22877;
        double r22879 = hi;
        double r22880 = r22879 - r22877;
        double r22881 = r22878 / r22880;
        return r22881;
}

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 2019350 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))