Average Error: 0.0 → 0.0
Time: 7.1s
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 r2216675 = x;
        double r2216676 = y;
        double r2216677 = r2216675 - r2216676;
        double r2216678 = fabs(r2216677);
        double r2216679 = sqrt(r2216678);
        return r2216679;
}
↓
double f(double x, double y) {
        double r2216680 = x;
        double r2216681 = y;
        double r2216682 = r2216680 - r2216681;
        double r2216683 = fabs(r2216682);
        double r2216684 = sqrt(r2216683);
        return r2216684;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))