Average Error: 0.0 → 0.0
Time: 4.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r56495 = x;
        double r56496 = y;
        double r56497 = r56495 + r56496;
        double r56498 = sqrt(r56497);
        return r56498;
}
↓
double f(double x, double y) {
        double r56499 = x;
        double r56500 = y;
        double r56501 = r56499 + r56500;
        double r56502 = sqrt(r56501);
        return r56502;
}

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 2020039 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))