Average Error: 0.0 → 0.0
Time: 11.3s
Precision: 64
\[\sqrt{x + y}\]
\[\sqrt{y + x}\]
\sqrt{x + y}
\sqrt{y + x}
double f(double x, double y) {
        double r2996613 = x;
        double r2996614 = y;
        double r2996615 = r2996613 + r2996614;
        double r2996616 = sqrt(r2996615);
        return r2996616;
}

double f(double x, double y) {
        double r2996617 = y;
        double r2996618 = x;
        double r2996619 = r2996617 + r2996618;
        double r2996620 = sqrt(r2996619);
        return r2996620;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\sqrt{x + y}\]
  2. Final simplification0.0

    \[\leadsto \sqrt{y + x}\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))