Average Error: 62.0 → 62.0
Time: 9.8s
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 r17761 = x;
        double r17762 = lo;
        double r17763 = r17761 - r17762;
        double r17764 = hi;
        double r17765 = r17764 - r17762;
        double r17766 = r17763 / r17765;
        return r17766;
}
↓
double f(double lo, double hi, double x) {
        double r17767 = x;
        double r17768 = lo;
        double r17769 = r17767 - r17768;
        double r17770 = hi;
        double r17771 = r17770 - r17768;
        double r17772 = r17769 / r17771;
        return r17772;
}

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 2019200 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))