Average Error: 0.0 → 0.0
Time: 9.8s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r47178 = x;
        double r47179 = y;
        double r47180 = r47178 + r47179;
        double r47181 = sqrt(r47180);
        return r47181;
}
↓
double f(double x, double y) {
        double r47182 = x;
        double r47183 = y;
        double r47184 = r47182 + r47183;
        double r47185 = sqrt(r47184);
        return r47185;
}

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 2019212 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))