Average Error: 0.0 → 0.0
Time: 3.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r69845 = x;
        double r69846 = y;
        double r69847 = r69845 + r69846;
        double r69848 = sqrt(r69847);
        return r69848;
}
↓
double f(double x, double y) {
        double r69849 = x;
        double r69850 = y;
        double r69851 = r69849 + r69850;
        double r69852 = sqrt(r69851);
        return r69852;
}

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