Average Error: 0.0 → 0.0
Time: 3.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r42682 = x;
        double r42683 = y;
        double r42684 = r42682 + r42683;
        double r42685 = sqrt(r42684);
        return r42685;
}
↓
double f(double x, double y) {
        double r42686 = x;
        double r42687 = y;
        double r42688 = r42686 + r42687;
        double r42689 = sqrt(r42688);
        return r42689;
}

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 2019209 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))