Average Error: 0.0 → 0.0
Time: 4.9s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r40214 = x;
        double r40215 = y;
        double r40216 = r40214 + r40215;
        double r40217 = sqrt(r40216);
        return r40217;
}
↓
double f(double x, double y) {
        double r40218 = x;
        double r40219 = y;
        double r40220 = r40218 + r40219;
        double r40221 = sqrt(r40220);
        return r40221;
}

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 2019291 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))