@Matt did you say you predict the next bit, then use that to NARROW down the 
next bit prediction?

Because, wouldn't that mean you would need to store 8 times more contexts?

You'd have to store every window on enwik8 by *sliding a window over by 1 bit*, 
not 1 byte like:

[walk]ing
w[alki]ng
...until end of enwik8
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