Average Error: 62.0 → 62.0
Time: 2.2s
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 r21276 = x;
        double r21277 = lo;
        double r21278 = r21276 - r21277;
        double r21279 = hi;
        double r21280 = r21279 - r21277;
        double r21281 = r21278 / r21280;
        return r21281;
}
↓
double f(double lo, double hi, double x) {
        double r21282 = x;
        double r21283 = lo;
        double r21284 = r21282 - r21283;
        double r21285 = hi;
        double r21286 = r21285 - r21283;
        double r21287 = r21284 / r21286;
        return r21287;
}

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