Average Error: 0.0 → 0.0
Time: 2.9s
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 r47823 = x;
        double r47824 = y;
        double r47825 = r47823 - r47824;
        double r47826 = fabs(r47825);
        double r47827 = sqrt(r47826);
        return r47827;
}
↓
double f(double x, double y) {
        double r47828 = x;
        double r47829 = y;
        double r47830 = r47828 - r47829;
        double r47831 = fabs(r47830);
        double r47832 = sqrt(r47831);
        return r47832;
}

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 2019194 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))