Average Error: 62.0 → 62.0
Time: 3.0s
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 r1383713 = x;
        double r1383714 = lo;
        double r1383715 = r1383713 - r1383714;
        double r1383716 = hi;
        double r1383717 = r1383716 - r1383714;
        double r1383718 = r1383715 / r1383717;
        return r1383718;
}
↓
double f(double lo, double hi, double x) {
        double r1383719 = x;
        double r1383720 = lo;
        double r1383721 = r1383719 - r1383720;
        double r1383722 = hi;
        double r1383723 = r1383722 - r1383720;
        double r1383724 = r1383721 / r1383723;
        return r1383724;
}

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 2019149 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))