Average Error: 62.0 → 62.0
Time: 4.3s
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 r9828 = x;
        double r9829 = lo;
        double r9830 = r9828 - r9829;
        double r9831 = hi;
        double r9832 = r9831 - r9829;
        double r9833 = r9830 / r9832;
        return r9833;
}
↓
double f(double lo, double hi, double x) {
        double r9834 = x;
        double r9835 = lo;
        double r9836 = r9834 - r9835;
        double r9837 = hi;
        double r9838 = r9837 - r9835;
        double r9839 = r9836 / r9838;
        return r9839;
}

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 2019323 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))