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 r43885 = x;
        double r43886 = y;
        double r43887 = r43885 + r43886;
        double r43888 = sqrt(r43887);
        return r43888;
}
↓
double f(double x, double y) {
        double r43889 = x;
        double r43890 = y;
        double r43891 = r43889 + r43890;
        double r43892 = sqrt(r43891);
        return r43892;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))