Average Error: 0.0 → 0.0
Time: 1.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r42637 = x;
        double r42638 = y;
        double r42639 = r42637 + r42638;
        double r42640 = sqrt(r42639);
        return r42640;
}
↓
double f(double x, double y) {
        double r42641 = x;
        double r42642 = y;
        double r42643 = r42641 + r42642;
        double r42644 = sqrt(r42643);
        return r42644;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))