Average Error: 0.0 → 0.0
Time: 7.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r62410 = x;
        double r62411 = y;
        double r62412 = r62410 + r62411;
        double r62413 = sqrt(r62412);
        return r62413;
}
↓
double f(double x, double y) {
        double r62414 = x;
        double r62415 = y;
        double r62416 = r62414 + r62415;
        double r62417 = sqrt(r62416);
        return r62417;
}

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

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

Reproduce

herbie shell --seed 2019208 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))