Average Error: 0.0 → 0.0
Time: 3.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r49654 = x;
        double r49655 = y;
        double r49656 = r49654 + r49655;
        double r49657 = sqrt(r49656);
        return r49657;
}
↓
double f(double x, double y) {
        double r49658 = x;
        double r49659 = y;
        double r49660 = r49658 + r49659;
        double r49661 = sqrt(r49660);
        return r49661;
}

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 2019347 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))