Average Error: 62.0 → 62.0
Time: 763.0ms
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 r4493 = x;
        double r4494 = lo;
        double r4495 = r4493 - r4494;
        double r4496 = hi;
        double r4497 = r4496 - r4494;
        double r4498 = r4495 / r4497;
        return r4498;
}
↓
double f(double lo, double hi, double x) {
        double r4499 = x;
        double r4500 = lo;
        double r4501 = r4499 - r4500;
        double r4502 = hi;
        double r4503 = r4502 - r4500;
        double r4504 = r4501 / r4503;
        return r4504;
}

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 2020002 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))