Average Error: 0.0 → 0.0
Time: 12.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r2781735 = x;
        double r2781736 = y;
        double r2781737 = r2781735 + r2781736;
        double r2781738 = sqrt(r2781737);
        return r2781738;
}
↓
double f(double x, double y) {
        double r2781739 = y;
        double r2781740 = x;
        double r2781741 = r2781739 + r2781740;
        double r2781742 = sqrt(r2781741);
        return r2781742;
}

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

    \[\sqrt{x + y}\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))