Average Error: 0.0 → 0.0
Time: 1.1s
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 r47545 = x;
        double r47546 = y;
        double r47547 = r47545 - r47546;
        double r47548 = fabs(r47547);
        double r47549 = sqrt(r47548);
        return r47549;
}
↓
double f(double x, double y) {
        double r47550 = x;
        double r47551 = y;
        double r47552 = r47550 - r47551;
        double r47553 = fabs(r47552);
        double r47554 = sqrt(r47553);
        return r47554;
}

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))))