Average Error: 0.0 → 0.0
Time: 8.6s
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 r31972 = x;
        double r31973 = y;
        double r31974 = r31972 - r31973;
        double r31975 = fabs(r31974);
        double r31976 = sqrt(r31975);
        return r31976;
}
↓
double f(double x, double y) {
        double r31977 = x;
        double r31978 = y;
        double r31979 = r31977 - r31978;
        double r31980 = fabs(r31979);
        double r31981 = sqrt(r31980);
        return r31981;
}

Error

Bits error versus x

Bits error versus y

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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 2019202 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))