Average Error: 62.0 → 62.0
Time: 4.2s
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 r35141 = x;
        double r35142 = lo;
        double r35143 = r35141 - r35142;
        double r35144 = hi;
        double r35145 = r35144 - r35142;
        double r35146 = r35143 / r35145;
        return r35146;
}
↓
double f(double lo, double hi, double x) {
        double r35147 = x;
        double r35148 = lo;
        double r35149 = r35147 - r35148;
        double r35150 = hi;
        double r35151 = r35150 - r35148;
        double r35152 = r35149 / r35151;
        return r35152;
}

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)))