Average Error: 62.0 → 62.0
Time: 759.0ms
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 r3757 = x;
        double r3758 = lo;
        double r3759 = r3757 - r3758;
        double r3760 = hi;
        double r3761 = r3760 - r3758;
        double r3762 = r3759 / r3761;
        return r3762;
}
↓
double f(double lo, double hi, double x) {
        double r3763 = x;
        double r3764 = lo;
        double r3765 = r3763 - r3764;
        double r3766 = hi;
        double r3767 = r3766 - r3764;
        double r3768 = r3765 / r3767;
        return r3768;
}

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 2019347 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))