Average Error: 0.0 → 0.0
Time: 404.0ms
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 r44781 = x;
        double r44782 = y;
        double r44783 = r44781 - r44782;
        double r44784 = fabs(r44783);
        double r44785 = sqrt(r44784);
        return r44785;
}
↓
double f(double x, double y) {
        double r44786 = x;
        double r44787 = y;
        double r44788 = r44786 - r44787;
        double r44789 = fabs(r44788);
        double r44790 = sqrt(r44789);
        return r44790;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2019362 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))