Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r30863 = x;
        double r30864 = y;
        double r30865 = r30863 + r30864;
        double r30866 = sqrt(r30865);
        return r30866;
}
↓
double f(double x, double y) {
        double r30867 = x;
        double r30868 = y;
        double r30869 = r30867 + r30868;
        double r30870 = sqrt(r30869);
        return r30870;
}

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 2020081 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))