Average Error: 0.0 → 0.0
Time: 8.5s
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 r1762645 = x;
        double r1762646 = y;
        double r1762647 = r1762645 - r1762646;
        double r1762648 = fabs(r1762647);
        double r1762649 = sqrt(r1762648);
        return r1762649;
}
↓
double f(double x, double y) {
        double r1762650 = x;
        double r1762651 = y;
        double r1762652 = r1762650 - r1762651;
        double r1762653 = fabs(r1762652);
        double r1762654 = sqrt(r1762653);
        return r1762654;
}

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 2019192 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))