Average Error: 0.0 → 0.0
Time: 11.4s
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 r44587 = x;
        double r44588 = y;
        double r44589 = r44587 - r44588;
        double r44590 = fabs(r44589);
        double r44591 = sqrt(r44590);
        return r44591;
}
↓
double f(double x, double y) {
        double r44592 = x;
        double r44593 = y;
        double r44594 = r44592 - r44593;
        double r44595 = fabs(r44594);
        double r44596 = sqrt(r44595);
        return r44596;
}

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 2019209 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))