Average Error: 0.0 → 0.0
Time: 1.6s
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 r51611 = x;
        double r51612 = y;
        double r51613 = r51611 - r51612;
        double r51614 = fabs(r51613);
        double r51615 = sqrt(r51614);
        return r51615;
}
↓
double f(double x, double y) {
        double r51616 = x;
        double r51617 = y;
        double r51618 = r51616 - r51617;
        double r51619 = fabs(r51618);
        double r51620 = sqrt(r51619);
        return r51620;
}

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 2020065 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))