Average Error: 62.0 → 62.0
Time: 3.6s
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 r13140 = x;
        double r13141 = lo;
        double r13142 = r13140 - r13141;
        double r13143 = hi;
        double r13144 = r13143 - r13141;
        double r13145 = r13142 / r13144;
        return r13145;
}
↓
double f(double lo, double hi, double x) {
        double r13146 = x;
        double r13147 = lo;
        double r13148 = r13146 - r13147;
        double r13149 = hi;
        double r13150 = r13149 - r13147;
        double r13151 = r13148 / r13150;
        return r13151;
}

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 2019304 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))