Average Error: 62.0 → 62.0
Time: 3.1s
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 r1906752 = x;
        double r1906753 = lo;
        double r1906754 = r1906752 - r1906753;
        double r1906755 = hi;
        double r1906756 = r1906755 - r1906753;
        double r1906757 = r1906754 / r1906756;
        return r1906757;
}
↓
double f(double lo, double hi, double x) {
        double r1906758 = x;
        double r1906759 = lo;
        double r1906760 = r1906758 - r1906759;
        double r1906761 = hi;
        double r1906762 = r1906761 - r1906759;
        double r1906763 = r1906760 / r1906762;
        return r1906763;
}

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 2019165 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))