Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r47696 = x;
        double r47697 = y;
        double r47698 = r47696 + r47697;
        double r47699 = sqrt(r47698);
        return r47699;
}
↓
double f(double x, double y) {
        double r47700 = x;
        double r47701 = y;
        double r47702 = r47700 + r47701;
        double r47703 = sqrt(r47702);
        return r47703;
}

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 2020024 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))