Average Error: 62.0 → 62.0
Time: 753.0ms
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 r5329 = x;
        double r5330 = lo;
        double r5331 = r5329 - r5330;
        double r5332 = hi;
        double r5333 = r5332 - r5330;
        double r5334 = r5331 / r5333;
        return r5334;
}
↓
double f(double lo, double hi, double x) {
        double r5335 = x;
        double r5336 = lo;
        double r5337 = r5335 - r5336;
        double r5338 = hi;
        double r5339 = r5338 - r5336;
        double r5340 = r5337 / r5339;
        return r5340;
}

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 2019344 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))