Average Error: 0.0 → 0.0
Time: 2.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r45736 = x;
        double r45737 = y;
        double r45738 = r45736 + r45737;
        double r45739 = sqrt(r45738);
        return r45739;
}
↓
double f(double x, double y) {
        double r45740 = x;
        double r45741 = y;
        double r45742 = r45740 + r45741;
        double r45743 = sqrt(r45742);
        return r45743;
}

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 2020027 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))