Average Error: 0.0 → 0.0
Time: 11.0s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r1598578 = x;
        double r1598579 = y;
        double r1598580 = r1598578 + r1598579;
        double r1598581 = sqrt(r1598580);
        return r1598581;
}
↓
double f(double x, double y) {
        double r1598582 = y;
        double r1598583 = x;
        double r1598584 = r1598582 + r1598583;
        double r1598585 = sqrt(r1598584);
        return r1598585;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))