Average Error: 0.0 → 0.0
Time: 600.0ms
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 r42874 = x;
        double r42875 = y;
        double r42876 = r42874 - r42875;
        double r42877 = fabs(r42876);
        double r42878 = sqrt(r42877);
        return r42878;
}

double f(double x, double y) {
        double r42879 = x;
        double r42880 = y;
        double r42881 = r42879 - r42880;
        double r42882 = fabs(r42881);
        double r42883 = sqrt(r42882);
        return r42883;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))