How I feel my brain
What you have to wonder, though, is that if you didn't have the useless information, could you actually hold more useful information, like science, history, literature, etc., and thus be an all-around brilliant person, or is it just a side-effect of being intelligent that the brain accumulates all information, useless or not? Perhaps the space being used for the useless information is actually unavailable for useful information. Also, the practice of remembering the useless information could help you retain useful information better.
Or, perhaps even more disturbingly, the useless information isn't in fact useless at all, but your brain subconsciously churns on the information, reassembling it into bursts of creativity that are then useful information again. Perhaps there is no wasted information in your mind.
IANAP, but it seems this is perfectly plausible.