Iraq is up to 2.5M barrels per day, which apparently was its pre-war production. I've seen one estimate that Iraq production could reach 6M barrels per day in several years.
Yes, that was in 2003, production was supposed to get to 6M bpd several years ago, but it hasn't. Its like those 'contracts' that western oil companies are supposed to have signed, political propaganda on behalf of the Republican party.