Average Error: 0.0 → 0.0
Time: 8.3s
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 r2212518 = x;
        double r2212519 = y;
        double r2212520 = r2212518 - r2212519;
        double r2212521 = fabs(r2212520);
        double r2212522 = sqrt(r2212521);
        return r2212522;
}
↓
double f(double x, double y) {
        double r2212523 = x;
        double r2212524 = y;
        double r2212525 = r2212523 - r2212524;
        double r2212526 = fabs(r2212525);
        double r2212527 = sqrt(r2212526);
        return r2212527;
}

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