Average Error: 0.0 → 0.0
Time: 7.4s
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 r33486 = x;
        double r33487 = y;
        double r33488 = r33486 - r33487;
        double r33489 = fabs(r33488);
        double r33490 = sqrt(r33489);
        return r33490;
}
↓
double f(double x, double y) {
        double r33491 = x;
        double r33492 = y;
        double r33493 = r33491 - r33492;
        double r33494 = fabs(r33493);
        double r33495 = sqrt(r33494);
        return r33495;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))