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 r42586 = x;
        double r42587 = y;
        double r42588 = r42586 + r42587;
        double r42589 = sqrt(r42588);
        return r42589;
}
↓
double f(double x, double y) {
        double r42590 = x;
        double r42591 = y;
        double r42592 = r42590 + r42591;
        double r42593 = sqrt(r42592);
        return r42593;
}

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 2020083 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))