Average Error: 0.0 → 0.0
Time: 10.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r53283 = x;
        double r53284 = y;
        double r53285 = r53283 + r53284;
        double r53286 = sqrt(r53285);
        return r53286;
}
↓
double f(double x, double y) {
        double r53287 = x;
        double r53288 = y;
        double r53289 = r53287 + r53288;
        double r53290 = sqrt(r53289);
        return r53290;
}

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 2019323 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))