blaze away at (someone or something)
To shoot a gun at a target repeatedly. The officer blazed away at the fleeing criminal and finally struck him in the leg. William blazed away at the bull's eye and still didn't land a single shot!
blaze away (at someone or something)
[for gunfire] to fire continually at someone or something. The guns blazed away at the oncoming ducks. The cowboy blazed away at his opponent in the gunfight.