Average Error: 62.0 → 62.0
Time: 5.9s
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 r25359 = x;
        double r25360 = lo;
        double r25361 = r25359 - r25360;
        double r25362 = hi;
        double r25363 = r25362 - r25360;
        double r25364 = r25361 / r25363;
        return r25364;
}
↓
double f(double lo, double hi, double x) {
        double r25365 = x;
        double r25366 = lo;
        double r25367 = r25365 - r25366;
        double r25368 = hi;
        double r25369 = r25368 - r25366;
        double r25370 = r25367 / r25369;
        return r25370;
}

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 2019323 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))