Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r47901 = x;
        double r47902 = y;
        double r47903 = r47901 + r47902;
        double r47904 = sqrt(r47903);
        return r47904;
}
↓
double f(double x, double y) {
        double r47905 = x;
        double r47906 = y;
        double r47907 = r47905 + r47906;
        double r47908 = sqrt(r47907);
        return r47908;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\sqrt{y + x}}\]

  3. Final simplification0.0

    \[\leadsto \sqrt{x + y}\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))