Average Error: 0.0 → 0.0
Time: 395.0ms
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 r39491 = x;
        double r39492 = y;
        double r39493 = r39491 - r39492;
        double r39494 = fabs(r39493);
        double r39495 = sqrt(r39494);
        return r39495;
}
↓
double f(double x, double y) {
        double r39496 = x;
        double r39497 = y;
        double r39498 = r39496 - r39497;
        double r39499 = fabs(r39498);
        double r39500 = sqrt(r39499);
        return r39500;
}

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 2019352 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))