Average Error: 0.0 → 0.0
Time: 360.0ms
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 r35513 = x;
        double r35514 = y;
        double r35515 = r35513 - r35514;
        double r35516 = fabs(r35515);
        double r35517 = sqrt(r35516);
        return r35517;
}
↓
double f(double x, double y) {
        double r35518 = x;
        double r35519 = y;
        double r35520 = r35518 - r35519;
        double r35521 = fabs(r35520);
        double r35522 = sqrt(r35521);
        return r35522;
}

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 2020064 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))