Average Error: 62.0 → 62.0
Time: 747.0ms
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 r9055 = x;
        double r9056 = lo;
        double r9057 = r9055 - r9056;
        double r9058 = hi;
        double r9059 = r9058 - r9056;
        double r9060 = r9057 / r9059;
        return r9060;
}
↓
double f(double lo, double hi, double x) {
        double r9061 = x;
        double r9062 = lo;
        double r9063 = r9061 - r9062;
        double r9064 = hi;
        double r9065 = r9064 - r9062;
        double r9066 = r9063 / r9065;
        return r9066;
}

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 2019352 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))