Average Error: 0.0 → 0.0
Time: 1.8s
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 r1703554 = x;
        double r1703555 = y;
        double r1703556 = r1703554 - r1703555;
        double r1703557 = fabs(r1703556);
        double r1703558 = sqrt(r1703557);
        return r1703558;
}
↓
double f(double x, double y) {
        double r1703559 = x;
        double r1703560 = y;
        double r1703561 = r1703559 - r1703560;
        double r1703562 = fabs(r1703561);
        double r1703563 = sqrt(r1703562);
        return r1703563;
}

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 2019200 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))