Average Error: 0.0 → 0.0
Time: 4.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r37555 = x;
        double r37556 = y;
        double r37557 = r37555 + r37556;
        double r37558 = sqrt(r37557);
        return r37558;
}
↓
double f(double x, double y) {
        double r37559 = x;
        double r37560 = y;
        double r37561 = r37559 + r37560;
        double r37562 = sqrt(r37561);
        return r37562;
}

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 2019208 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))