Average Error: 0.0 → 0.0
Time: 24.6s
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 r2688776 = x;
        double r2688777 = y;
        double r2688778 = r2688776 - r2688777;
        double r2688779 = fabs(r2688778);
        double r2688780 = sqrt(r2688779);
        return r2688780;
}
↓
double f(double x, double y) {
        double r2688781 = x;
        double r2688782 = y;
        double r2688783 = r2688781 - r2688782;
        double r2688784 = fabs(r2688783);
        double r2688785 = sqrt(r2688784);
        return r2688785;
}

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 2019165 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))