Average Error: 62.0 → 62.0
Time: 2.4s
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 r21509 = x;
        double r21510 = lo;
        double r21511 = r21509 - r21510;
        double r21512 = hi;
        double r21513 = r21512 - r21510;
        double r21514 = r21511 / r21513;
        return r21514;
}
↓
double f(double lo, double hi, double x) {
        double r21515 = x;
        double r21516 = lo;
        double r21517 = r21515 - r21516;
        double r21518 = hi;
        double r21519 = r21518 - r21516;
        double r21520 = r21517 / r21519;
        return r21520;
}

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 2019294 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))