Average Error: 0.0 → 0.0
Time: 4.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r43590 = x;
        double r43591 = y;
        double r43592 = r43590 + r43591;
        double r43593 = sqrt(r43592);
        return r43593;
}
↓
double f(double x, double y) {
        double r43594 = x;
        double r43595 = y;
        double r43596 = r43594 + r43595;
        double r43597 = sqrt(r43596);
        return r43597;
}

Error

Bits error versus x

Bits error versus y

Try it out

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 2019303 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))