Average Error: 0.0 → 0.0
Time: 17.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r36306 = x;
        double r36307 = y;
        double r36308 = r36306 + r36307;
        double r36309 = sqrt(r36308);
        return r36309;
}
↓
double f(double x, double y) {
        double r36310 = x;
        double r36311 = y;
        double r36312 = r36310 + r36311;
        double r36313 = sqrt(r36312);
        return r36313;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))