Average Error: 0.0 → 0.0
Time: 8.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r47417 = x;
        double r47418 = y;
        double r47419 = r47417 + r47418;
        double r47420 = sqrt(r47419);
        return r47420;
}
↓
double f(double x, double y) {
        double r47421 = x;
        double r47422 = y;
        double r47423 = r47421 + r47422;
        double r47424 = sqrt(r47423);
        return r47424;
}

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 2019322 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))