Average Error: 0.0 → 0.0
Time: 13.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r46320 = x;
        double r46321 = y;
        double r46322 = r46320 + r46321;
        double r46323 = sqrt(r46322);
        return r46323;
}
↓
double f(double x, double y) {
        double r46324 = x;
        double r46325 = y;
        double r46326 = r46324 + r46325;
        double r46327 = sqrt(r46326);
        return r46327;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))