Average Error: 0.0 → 0.0
Time: 11.2s
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 r2015051 = x;
        double r2015052 = y;
        double r2015053 = r2015051 - r2015052;
        double r2015054 = fabs(r2015053);
        double r2015055 = sqrt(r2015054);
        return r2015055;
}
↓
double f(double x, double y) {
        double r2015056 = x;
        double r2015057 = y;
        double r2015058 = r2015056 - r2015057;
        double r2015059 = fabs(r2015058);
        double r2015060 = sqrt(r2015059);
        return r2015060;
}

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 2019158 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))