Average Error: 0.0 → 0.0
Time: 1.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r30272 = x;
        double r30273 = y;
        double r30274 = r30272 + r30273;
        double r30275 = sqrt(r30274);
        return r30275;
}
↓
double f(double x, double y) {
        double r30276 = x;
        double r30277 = y;
        double r30278 = r30276 + r30277;
        double r30279 = sqrt(r30278);
        return r30279;
}

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 2019322 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))