Average Error: 0.0 → 0.0
Time: 4.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r34302 = x;
        double r34303 = y;
        double r34304 = r34302 + r34303;
        double r34305 = sqrt(r34304);
        return r34305;
}
↓
double f(double x, double y) {
        double r34306 = x;
        double r34307 = y;
        double r34308 = r34306 + r34307;
        double r34309 = sqrt(r34308);
        return r34309;
}

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 2019298 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))