Average Error: 62.0 → 62.0
Time: 786.0ms
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 r6770 = x;
        double r6771 = lo;
        double r6772 = r6770 - r6771;
        double r6773 = hi;
        double r6774 = r6773 - r6771;
        double r6775 = r6772 / r6774;
        return r6775;
}
↓
double f(double lo, double hi, double x) {
        double r6776 = x;
        double r6777 = lo;
        double r6778 = r6776 - r6777;
        double r6779 = hi;
        double r6780 = r6779 - r6777;
        double r6781 = r6778 / r6780;
        return r6781;
}

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 2019356 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))