Average Error: 0.0 → 0.0
Time: 12.1s
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 r1090733 = x;
        double r1090734 = y;
        double r1090735 = r1090733 - r1090734;
        double r1090736 = fabs(r1090735);
        double r1090737 = sqrt(r1090736);
        return r1090737;
}
↓
double f(double x, double y) {
        double r1090738 = x;
        double r1090739 = y;
        double r1090740 = r1090738 - r1090739;
        double r1090741 = fabs(r1090740);
        double r1090742 = sqrt(r1090741);
        return r1090742;
}

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 2019162 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))