Limited-size rationals, or BIGNUMs? Coz the latter gets insane very quickly.
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Bignums, but the continued fraction representation is more efficient than num/denom and most entries are small.
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for performance or for accuracy?
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Accuracy, conceptual purity, and LULZ.
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Also, what do you mean by proper subtypes precisely, and what would that part of it be important for?
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Most fast numerical methods don't have a CF form but do have strong convergence proofs. Doesn't seem like a good fit.
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Newton's method, asymptotic series, AGM iteration, etc.
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How about reals as lazy bit-string spigots? I.e. generate rationals with denominator = 2^k.
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What if I only say it twice, and then two smaller episodes?
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