Average Error: 0.0 → 0.0
Time: 7.6s
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 r50874 = x;
        double r50875 = y;
        double r50876 = r50874 - r50875;
        double r50877 = fabs(r50876);
        double r50878 = sqrt(r50877);
        return r50878;
}
↓
double f(double x, double y) {
        double r50879 = x;
        double r50880 = y;
        double r50881 = r50879 - r50880;
        double r50882 = fabs(r50881);
        double r50883 = sqrt(r50882);
        return r50883;
}

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 2020042 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))