Average Error: 62.0 → 62.0
Time: 1.6s
Precision: 64
\[lo \lt -1 \cdot 10^{308} \land hi \gt 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r18470 = x;
        double r18471 = lo;
        double r18472 = r18470 - r18471;
        double r18473 = hi;
        double r18474 = r18473 - r18471;
        double r18475 = r18472 / r18474;
        return r18475;
}
↓
double f(double lo, double hi, double x) {
        double r18476 = x;
        double r18477 = lo;
        double r18478 = r18476 - r18477;
        double r18479 = hi;
        double r18480 = r18479 - r18477;
        double r18481 = r18478 / r18480;
        return r18481;
}

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 2020045 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))