Average Error: 0.0 → 0.0
Time: 4.6s
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 r38870 = x;
        double r38871 = y;
        double r38872 = r38870 - r38871;
        double r38873 = fabs(r38872);
        double r38874 = sqrt(r38873);
        return r38874;
}
↓
double f(double x, double y) {
        double r38875 = x;
        double r38876 = y;
        double r38877 = r38875 - r38876;
        double r38878 = fabs(r38877);
        double r38879 = sqrt(r38878);
        return r38879;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))