Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r40315 = x;
        double r40316 = y;
        double r40317 = r40315 + r40316;
        double r40318 = sqrt(r40317);
        return r40318;
}
↓
double f(double x, double y) {
        double r40319 = x;
        double r40320 = y;
        double r40321 = r40319 + r40320;
        double r40322 = sqrt(r40321);
        return r40322;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))