Average Error: 62.0 → 62.0
Time: 874.0ms
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 r5884 = x;
        double r5885 = lo;
        double r5886 = r5884 - r5885;
        double r5887 = hi;
        double r5888 = r5887 - r5885;
        double r5889 = r5886 / r5888;
        return r5889;
}
↓
double f(double lo, double hi, double x) {
        double r5890 = x;
        double r5891 = lo;
        double r5892 = r5890 - r5891;
        double r5893 = hi;
        double r5894 = r5893 - r5891;
        double r5895 = r5892 / r5894;
        return r5895;
}

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 2020089 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))