Average Error: 62.0 → 62.0
Time: 3.8s
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 r17600 = x;
        double r17601 = lo;
        double r17602 = r17600 - r17601;
        double r17603 = hi;
        double r17604 = r17603 - r17601;
        double r17605 = r17602 / r17604;
        return r17605;
}
↓
double f(double lo, double hi, double x) {
        double r17606 = x;
        double r17607 = lo;
        double r17608 = r17606 - r17607;
        double r17609 = hi;
        double r17610 = r17609 - r17607;
        double r17611 = r17608 / r17610;
        return r17611;
}

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 2019325 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))