Average Error: 0.0 → 0.0
Time: 9.2s
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 r35494 = x;
        double r35495 = y;
        double r35496 = r35494 - r35495;
        double r35497 = fabs(r35496);
        double r35498 = sqrt(r35497);
        return r35498;
}
↓
double f(double x, double y) {
        double r35499 = x;
        double r35500 = y;
        double r35501 = r35499 - r35500;
        double r35502 = fabs(r35501);
        double r35503 = sqrt(r35502);
        return r35503;
}

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))))