I was trying to think about this.
His first rapier gets broken when Belkar shatters it with his voice. He gets a replacement immediately.
He loses his second rapier when Nale steals it, gets a replacement from Julio, then gets the original back when he beats Nale.
He gets one of those two broken when Tarquin snaps it, but gets another replacement in the form of Julio's chaos sabre.
So he only broke it twice, but lost it 3 times.