Average Error: 0.0 → 0.0
Time: 2.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r28824 = x;
        double r28825 = y;
        double r28826 = r28824 + r28825;
        double r28827 = sqrt(r28826);
        return r28827;
}
↓
double f(double x, double y) {
        double r28828 = x;
        double r28829 = y;
        double r28830 = r28828 + r28829;
        double r28831 = sqrt(r28830);
        return r28831;
}

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