Average Error: 0.0 → 0.0
Time: 7.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r48199 = x;
        double r48200 = y;
        double r48201 = r48199 + r48200;
        double r48202 = sqrt(r48201);
        return r48202;
}
↓
double f(double x, double y) {
        double r48203 = x;
        double r48204 = y;
        double r48205 = r48203 + r48204;
        double r48206 = sqrt(r48205);
        return r48206;
}

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 2019326 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))