Average Error: 0.0 → 0.0
Time: 8.2s
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 r52630 = x;
        double r52631 = y;
        double r52632 = r52630 - r52631;
        double r52633 = fabs(r52632);
        double r52634 = sqrt(r52633);
        return r52634;
}
↓
double f(double x, double y) {
        double r52635 = x;
        double r52636 = y;
        double r52637 = r52635 - r52636;
        double r52638 = fabs(r52637);
        double r52639 = sqrt(r52638);
        return r52639;
}

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))))