My flight landed late into NRT due to mechanical issues in DFW, missed my connecting JL flight to CGK, I got re-routed to KUL on Malaysia Airlines.
Got into CGK 11 hours late, missed a good night of sleep in my paid-for hotel room.
All AA gave me was 7500 miles. Wouldn't budge.
You'd be lucky to get anything from AA for only a 3 hour delay.