Average Error: 0.0 → 0.0
Time: 7.4s
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 r1938904 = x;
        double r1938905 = y;
        double r1938906 = r1938904 - r1938905;
        double r1938907 = fabs(r1938906);
        double r1938908 = sqrt(r1938907);
        return r1938908;
}
↓
double f(double x, double y) {
        double r1938909 = x;
        double r1938910 = y;
        double r1938911 = r1938909 - r1938910;
        double r1938912 = fabs(r1938911);
        double r1938913 = sqrt(r1938912);
        return r1938913;
}

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))