Average Error: 62.0 → 62.0
Time: 3.9s
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 r35224 = x;
        double r35225 = lo;
        double r35226 = r35224 - r35225;
        double r35227 = hi;
        double r35228 = r35227 - r35225;
        double r35229 = r35226 / r35228;
        return r35229;
}
↓
double f(double lo, double hi, double x) {
        double r35230 = x;
        double r35231 = lo;
        double r35232 = r35230 - r35231;
        double r35233 = hi;
        double r35234 = r35233 - r35231;
        double r35235 = r35232 / r35234;
        return r35235;
}

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 2019303 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))