Average Error: 62.0 → 62.0
Time: 4.2s
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 r17774 = x;
        double r17775 = lo;
        double r17776 = r17774 - r17775;
        double r17777 = hi;
        double r17778 = r17777 - r17775;
        double r17779 = r17776 / r17778;
        return r17779;
}
↓
double f(double lo, double hi, double x) {
        double r17780 = x;
        double r17781 = lo;
        double r17782 = r17780 - r17781;
        double r17783 = hi;
        double r17784 = r17783 - r17781;
        double r17785 = r17782 / r17784;
        return r17785;
}

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 2019325 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))