Average Error: 0.0 → 0.0
Time: 10.6s
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 r43636 = x;
        double r43637 = y;
        double r43638 = r43636 - r43637;
        double r43639 = fabs(r43638);
        double r43640 = sqrt(r43639);
        return r43640;
}
↓
double f(double x, double y) {
        double r43641 = x;
        double r43642 = y;
        double r43643 = r43641 - r43642;
        double r43644 = fabs(r43643);
        double r43645 = sqrt(r43644);
        return r43645;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))