Average Error: 0.0 → 0.0
Time: 928.0ms
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 r1021836 = x;
        double r1021837 = y;
        double r1021838 = r1021836 - r1021837;
        double r1021839 = fabs(r1021838);
        double r1021840 = sqrt(r1021839);
        return r1021840;
}
↓
double f(double x, double y) {
        double r1021841 = x;
        double r1021842 = y;
        double r1021843 = r1021841 - r1021842;
        double r1021844 = fabs(r1021843);
        double r1021845 = sqrt(r1021844);
        return r1021845;
}

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 2019171 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))