Average Error: 62.0 → 62.0
Time: 809.0ms
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 r5663 = x;
        double r5664 = lo;
        double r5665 = r5663 - r5664;
        double r5666 = hi;
        double r5667 = r5666 - r5664;
        double r5668 = r5665 / r5667;
        return r5668;
}
↓
double f(double lo, double hi, double x) {
        double r5669 = x;
        double r5670 = lo;
        double r5671 = r5669 - r5670;
        double r5672 = hi;
        double r5673 = r5672 - r5670;
        double r5674 = r5671 / r5673;
        return r5674;
}

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 2020001 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))