Average Error: 62.0 → 62.0
Time: 3.5s
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 r123750 = x;
        double r123751 = lo;
        double r123752 = r123750 - r123751;
        double r123753 = hi;
        double r123754 = r123753 - r123751;
        double r123755 = r123752 / r123754;
        return r123755;
}
↓
double f(double lo, double hi, double x) {
        double r123756 = x;
        double r123757 = lo;
        double r123758 = r123756 - r123757;
        double r123759 = hi;
        double r123760 = r123759 - r123757;
        double r123761 = r123758 / r123760;
        return r123761;
}

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 2019142 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))