Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r1349162 = x;
        double r1349163 = y;
        double r1349164 = r1349162 + r1349163;
        double r1349165 = sqrt(r1349164);
        return r1349165;
}
↓
double f(double x, double y) {
        double r1349166 = y;
        double r1349167 = x;
        double r1349168 = r1349166 + r1349167;
        double r1349169 = sqrt(r1349168);
        return r1349169;
}

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 2019169 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))