Average Error: 0.0 → 0.0
Time: 5.1s
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 r31813 = x;
        double r31814 = y;
        double r31815 = r31813 - r31814;
        double r31816 = fabs(r31815);
        double r31817 = sqrt(r31816);
        return r31817;
}
↓
double f(double x, double y) {
        double r31818 = x;
        double r31819 = y;
        double r31820 = r31818 - r31819;
        double r31821 = fabs(r31820);
        double r31822 = sqrt(r31821);
        return r31822;
}

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 2019208 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))