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 r44862 = x;
        double r44863 = y;
        double r44864 = r44862 - r44863;
        double r44865 = fabs(r44864);
        double r44866 = sqrt(r44865);
        return r44866;
}
↓
double f(double x, double y) {
        double r44867 = x;
        double r44868 = y;
        double r44869 = r44867 - r44868;
        double r44870 = fabs(r44869);
        double r44871 = sqrt(r44870);
        return r44871;
}

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 2019322 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))