Average Error: 0.0 → 0.0
Time: 10.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r31481 = x;
        double r31482 = y;
        double r31483 = r31481 + r31482;
        double r31484 = sqrt(r31483);
        return r31484;
}
↓
double f(double x, double y) {
        double r31485 = x;
        double r31486 = y;
        double r31487 = r31485 + r31486;
        double r31488 = sqrt(r31487);
        return r31488;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))