Average Error: 0.0 → 0.0
Time: 467.0ms
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r42725 = x;
        double r42726 = y;
        double r42727 = r42725 - r42726;
        double r42728 = fabs(r42727);
        double r42729 = sqrt(r42728);
        return r42729;
}
↓
double f(double x, double y) {
        double r42730 = x;
        double r42731 = y;
        double r42732 = r42730 - r42731;
        double r42733 = fabs(r42732);
        double r42734 = sqrt(r42733);
        return r42734;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2020081 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))