6 Information per bit
6.1 Information as the reciprocal of uncertainty
Remember the complaint about traditional interval arithmetic wasting bits: If you use two fixed-size floats to represent bounds, then either you have a tight bound (which means most of the bits in the two numbers are the same and therefore redundant), or the bound is loose (which means both floats have more precision than is justified). Unums and ubounds are not only more bit-efficient than traditional intervals, they also provide a way to manage the ratio of information to storage, either automatically or at the request of the programmer.
Information, or answer quality ...
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