I ran the game in this site's Game Explorer. With Black to move at 8 Explorer gives black a superior win position choosing either to castle or e4 but there are very few games in the database at this point and the majority are draws. Your computer however comes up with a move that isn't in Explorer. I don't play this particular path so I have never seen it.
Perhaps the computer is out of book and simply perceives this to be a stronger defence. You don't say which computer you are using or what settings you are have. I'd expect the latest computers to have book openings at least up to this point.
Looking at the move 8 ...Bd6 it looks to be quite sound defensively as castling, whilst the most played move, might be premature. I'd prefer d4 but you can end up with a doubled pawn if the bishop takes the knight. However Bd6 does lock up black's further development and gives White a chance to develop.
I'd probably play c4 at this point giving protection to both bishop and knight. I suspect black will respond with b5 forcing your bishop away and allowing his bishop to develop
I would really appreciate if anyone found anything about the end position and help me find whites best move.
mvh Fredrik