Average Error: 62.0 → 62.0
Time: 2.1s
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 r13367 = x;
        double r13368 = lo;
        double r13369 = r13367 - r13368;
        double r13370 = hi;
        double r13371 = r13370 - r13368;
        double r13372 = r13369 / r13371;
        return r13372;
}
↓
double f(double lo, double hi, double x) {
        double r13373 = x;
        double r13374 = lo;
        double r13375 = r13373 - r13374;
        double r13376 = hi;
        double r13377 = r13376 - r13374;
        double r13378 = r13375 / r13377;
        return r13378;
}

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 2019297 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))