Average Error: 0.0 → 0.0
Time: 8.0s
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 r2168004 = x;
        double r2168005 = y;
        double r2168006 = r2168004 - r2168005;
        double r2168007 = fabs(r2168006);
        double r2168008 = sqrt(r2168007);
        return r2168008;
}
↓
double f(double x, double y) {
        double r2168009 = x;
        double r2168010 = y;
        double r2168011 = r2168009 - r2168010;
        double r2168012 = fabs(r2168011);
        double r2168013 = sqrt(r2168012);
        return r2168013;
}

Error

Bits error versus x

Bits error versus y

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Results

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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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))