Average Error: 0.0 → 0.0
Time: 15.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r26371 = x;
        double r26372 = y;
        double r26373 = r26371 + r26372;
        double r26374 = sqrt(r26373);
        return r26374;
}
↓
double f(double x, double y) {
        double r26375 = x;
        double r26376 = y;
        double r26377 = r26375 + r26376;
        double r26378 = sqrt(r26377);
        return r26378;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))