Average Error: 0.0 → 0.0
Time: 3.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r46875 = x;
        double r46876 = y;
        double r46877 = r46875 + r46876;
        double r46878 = sqrt(r46877);
        return r46878;
}
↓
double f(double x, double y) {
        double r46879 = x;
        double r46880 = y;
        double r46881 = r46879 + r46880;
        double r46882 = sqrt(r46881);
        return r46882;
}

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 2020002 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))