Average Error: 62.0 → 62.0
Time: 3.2s
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 r15342 = x;
        double r15343 = lo;
        double r15344 = r15342 - r15343;
        double r15345 = hi;
        double r15346 = r15345 - r15343;
        double r15347 = r15344 / r15346;
        return r15347;
}
↓
double f(double lo, double hi, double x) {
        double r15348 = x;
        double r15349 = lo;
        double r15350 = r15348 - r15349;
        double r15351 = hi;
        double r15352 = r15351 - r15349;
        double r15353 = r15350 / r15352;
        return r15353;
}

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 2019209 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))