Jonathan_Graehl comments on Humans are not automatically strategic - Less Wrong
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This brings to my mind the idea of a complete n-ary tree (with n being the base of your logarithm), with the highest abstraction level at the root - if you spend equal time on each node, then you'll portion time across levels as you described.
I found this amusing - I'm not sure I know of any generally meaningful meta-thinking levels beyond say, 2.