Average Error: 0.0 → 0.0
Time: 843.0ms
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 r612828 = x;
        double r612829 = y;
        double r612830 = r612828 - r612829;
        double r612831 = fabs(r612830);
        double r612832 = sqrt(r612831);
        return r612832;
}
↓
double f(double x, double y) {
        double r612833 = x;
        double r612834 = y;
        double r612835 = r612833 - r612834;
        double r612836 = fabs(r612835);
        double r612837 = sqrt(r612836);
        return r612837;
}

Error

Bits error versus x

Bits error versus y

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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 2019156 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))