Average Error: 0.0 → 0.0
Time: 13.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r2329256 = x;
        double r2329257 = y;
        double r2329258 = r2329256 + r2329257;
        double r2329259 = sqrt(r2329258);
        return r2329259;
}
↓
double f(double x, double y) {
        double r2329260 = y;
        double r2329261 = x;
        double r2329262 = r2329260 + r2329261;
        double r2329263 = sqrt(r2329262);
        return r2329263;
}

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

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))