Average Error: 0.0 → 0.0
Time: 453.0ms
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 r39898 = x;
        double r39899 = y;
        double r39900 = r39898 - r39899;
        double r39901 = fabs(r39900);
        double r39902 = sqrt(r39901);
        return r39902;
}
↓
double f(double x, double y) {
        double r39903 = x;
        double r39904 = y;
        double r39905 = r39903 - r39904;
        double r39906 = fabs(r39905);
        double r39907 = sqrt(r39906);
        return r39907;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))