Thousands of them died in the bulge.
I have read that we lost more men in the battle of the bulge than in the entire Pacific campaign. I have no idea if that is right or not.
Actually I don’t think we fought them to a standstill in the Bulge unless you consider the combat engineers to have stopped them by blowing bridges, often just before the Germans were to cross them.
Running out of fuel also helped to stop them but that was because they got behind on their timetable.
At first they were planning on by-passing Bastogne but after it got so much publicity, Hitler ordered them to take it. Of course they never did but they went way beyond it.