Average Error: 62.0 → 62.0
Time: 3.4s
Precision: 64
\[lo \lt -1 \cdot 10^{308} \land hi \gt 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r17833 = x;
        double r17834 = lo;
        double r17835 = r17833 - r17834;
        double r17836 = hi;
        double r17837 = r17836 - r17834;
        double r17838 = r17835 / r17837;
        return r17838;
}
↓
double f(double lo, double hi, double x) {
        double r17839 = x;
        double r17840 = lo;
        double r17841 = r17839 - r17840;
        double r17842 = hi;
        double r17843 = r17842 - r17840;
        double r17844 = r17841 / r17843;
        return r17844;
}

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 2019198 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))