Average Error: 0.0 → 0.0
Time: 2.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r43470 = x;
        double r43471 = y;
        double r43472 = r43470 + r43471;
        double r43473 = sqrt(r43472);
        return r43473;
}
↓
double f(double x, double y) {
        double r43474 = x;
        double r43475 = y;
        double r43476 = r43474 + r43475;
        double r43477 = sqrt(r43476);
        return r43477;
}

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

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

Reproduce

herbie shell --seed 2020003 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))