Average Error: 62.0 → 62.0
Time: 2.6s
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 r22690 = x;
        double r22691 = lo;
        double r22692 = r22690 - r22691;
        double r22693 = hi;
        double r22694 = r22693 - r22691;
        double r22695 = r22692 / r22694;
        return r22695;
}
↓
double f(double lo, double hi, double x) {
        double r22696 = x;
        double r22697 = lo;
        double r22698 = r22696 - r22697;
        double r22699 = hi;
        double r22700 = r22699 - r22697;
        double r22701 = r22698 / r22700;
        return r22701;
}

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 2019350 +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)))