Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r33357 = x;
        double r33358 = y;
        double r33359 = r33357 + r33358;
        double r33360 = sqrt(r33359);
        return r33360;
}
↓
double f(double x, double y) {
        double r33361 = x;
        double r33362 = y;
        double r33363 = r33361 + r33362;
        double r33364 = sqrt(r33363);
        return r33364;
}

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 2019305 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))