Average Error: 62.0 → 62.0
Time: 1.3s
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 r203244 = x;
        double r203245 = lo;
        double r203246 = r203244 - r203245;
        double r203247 = hi;
        double r203248 = r203247 - r203245;
        double r203249 = r203246 / r203248;
        return r203249;
}
↓
double f(double lo, double hi, double x) {
        double r203250 = x;
        double r203251 = lo;
        double r203252 = r203250 - r203251;
        double r203253 = hi;
        double r203254 = r203253 - r203251;
        double r203255 = r203252 / r203254;
        return r203255;
}

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 2019318 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))