Average Error: 0.0 → 0.0
Time: 1.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r45412 = x;
        double r45413 = y;
        double r45414 = r45412 + r45413;
        double r45415 = sqrt(r45414);
        return r45415;
}
↓
double f(double x, double y) {
        double r45416 = x;
        double r45417 = y;
        double r45418 = r45416 + r45417;
        double r45419 = sqrt(r45418);
        return r45419;
}

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 2019196 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))