Average Error: 62.0 → 62.0
Time: 2.3s
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 r21126 = x;
        double r21127 = lo;
        double r21128 = r21126 - r21127;
        double r21129 = hi;
        double r21130 = r21129 - r21127;
        double r21131 = r21128 / r21130;
        return r21131;
}
↓
double f(double lo, double hi, double x) {
        double r21132 = x;
        double r21133 = lo;
        double r21134 = r21132 - r21133;
        double r21135 = hi;
        double r21136 = r21135 - r21133;
        double r21137 = r21134 / r21136;
        return r21137;
}

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)))