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Numbers and Pork Rinds

    Actually, an implementation using IEEE arithmetic might find it completely
    convenient to have both exact and inexact floats; a result float would be
    exact if all inputs are exact AND the IEEE operation(s) reported no inexact
    exception.  (This is a minor point.)

This is where the notion of inexactness in fact came from.  The
original idea was to have an orthogonal exactness bit for each
representation which the implementation would maintain correctly.