Average Error: 62.0 → 62.0
Time: 2.6s
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 r15794 = x;
        double r15795 = lo;
        double r15796 = r15794 - r15795;
        double r15797 = hi;
        double r15798 = r15797 - r15795;
        double r15799 = r15796 / r15798;
        return r15799;
}
↓
double f(double lo, double hi, double x) {
        double r15800 = x;
        double r15801 = lo;
        double r15802 = r15800 - r15801;
        double r15803 = hi;
        double r15804 = r15803 - r15801;
        double r15805 = r15802 / r15804;
        return r15805;
}

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 2019209 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))