Average Error: 0.0 → 0.0
Time: 5.6s
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 r43405 = x;
        double r43406 = y;
        double r43407 = r43405 - r43406;
        double r43408 = fabs(r43407);
        double r43409 = sqrt(r43408);
        return r43409;
}
↓
double f(double x, double y) {
        double r43410 = x;
        double r43411 = y;
        double r43412 = r43410 - r43411;
        double r43413 = fabs(r43412);
        double r43414 = sqrt(r43413);
        return r43414;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))