Average Error: 0.0 → 0.0
Time: 7.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r74297 = x;
        double r74298 = y;
        double r74299 = r74297 + r74298;
        double r74300 = sqrt(r74299);
        return r74300;
}
↓
double f(double x, double y) {
        double r74301 = x;
        double r74302 = y;
        double r74303 = r74301 + r74302;
        double r74304 = sqrt(r74303);
        return r74304;
}

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 2019179 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))