Average Error: 62.0 → 62.0
Time: 4.0s
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 r17611 = x;
        double r17612 = lo;
        double r17613 = r17611 - r17612;
        double r17614 = hi;
        double r17615 = r17614 - r17612;
        double r17616 = r17613 / r17615;
        return r17616;
}
↓
double f(double lo, double hi, double x) {
        double r17617 = x;
        double r17618 = lo;
        double r17619 = r17617 - r17618;
        double r17620 = hi;
        double r17621 = r17620 - r17618;
        double r17622 = r17619 / r17621;
        return r17622;
}

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)))