Average Error: 0.0 → 0.0
Time: 4.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r43395 = x;
        double r43396 = y;
        double r43397 = r43395 + r43396;
        double r43398 = sqrt(r43397);
        return r43398;
}
↓
double f(double x, double y) {
        double r43399 = x;
        double r43400 = y;
        double r43401 = r43399 + r43400;
        double r43402 = sqrt(r43401);
        return r43402;
}

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 2020046 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))