Average Error: 62.0 → 62.0
Time: 4.5s
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 r14554 = x;
        double r14555 = lo;
        double r14556 = r14554 - r14555;
        double r14557 = hi;
        double r14558 = r14557 - r14555;
        double r14559 = r14556 / r14558;
        return r14559;
}
↓
double f(double lo, double hi, double x) {
        double r14560 = x;
        double r14561 = lo;
        double r14562 = r14560 - r14561;
        double r14563 = hi;
        double r14564 = r14563 - r14561;
        double r14565 = r14562 / r14564;
        return r14565;
}

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 2019306 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))