Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r45463 = x;
        double r45464 = y;
        double r45465 = r45463 + r45464;
        double r45466 = sqrt(r45465);
        return r45466;
}
↓
double f(double x, double y) {
        double r45467 = x;
        double r45468 = y;
        double r45469 = r45467 + r45468;
        double r45470 = sqrt(r45469);
        return r45470;
}

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 2020060 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))