DEERFIELD, Ill. (AP) -- The Chicago Bulls have waived veteran guard Richard Hamilton, as expected.

The Bulls signed Hamilton before the 2011-12 season, hoping he could help take some of the load off Derrick Rose, but he had trouble staying healthy and fell out of coach Tom Thibodeau's playoff rotation.

So the Bulls exercised their $1 million buyout and officially parted with the former Detroit Pistons star on Wednesday.

He appeared in 78 games over two seasons, averaging 10.5 points and 2.6 assists, and it was clear his time in Chicago was winding down, particularly when he barely got off the bench in the playoffs, making just four appearances against Brooklyn and Miami.

The Bulls also signed first-round draft pick Tony Snell and second-rounder Erik Murphy, and introduced veteran Mike Dunleavy Jr. on Wednesday.