Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r45697 = x;
        double r45698 = y;
        double r45699 = r45697 + r45698;
        double r45700 = sqrt(r45699);
        return r45700;
}
↓
double f(double x, double y) {
        double r45701 = x;
        double r45702 = y;
        double r45703 = r45701 + r45702;
        double r45704 = sqrt(r45703);
        return r45704;
}

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 2020036 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))