Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r43480 = x;
        double r43481 = y;
        double r43482 = r43480 + r43481;
        double r43483 = sqrt(r43482);
        return r43483;
}
↓
double f(double x, double y) {
        double r43484 = x;
        double r43485 = y;
        double r43486 = r43484 + r43485;
        double r43487 = sqrt(r43486);
        return r43487;
}

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 2019356 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))