Average Error: 0.0 → 0.0
Time: 6.9s
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 r1819366 = x;
        double r1819367 = y;
        double r1819368 = r1819366 - r1819367;
        double r1819369 = fabs(r1819368);
        double r1819370 = sqrt(r1819369);
        return r1819370;
}
↓
double f(double x, double y) {
        double r1819371 = x;
        double r1819372 = y;
        double r1819373 = r1819371 - r1819372;
        double r1819374 = fabs(r1819373);
        double r1819375 = sqrt(r1819374);
        return r1819375;
}

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 2019192 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))