Average Error: 0.0 → 0.0
Time: 15.0s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r38866 = x;
        double r38867 = y;
        double r38868 = r38866 + r38867;
        double r38869 = sqrt(r38868);
        return r38869;
}
↓
double f(double x, double y) {
        double r38870 = x;
        double r38871 = y;
        double r38872 = r38870 + r38871;
        double r38873 = sqrt(r38872);
        return r38873;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))