At #15299, we need to compute some series and we also want an error
bound on the result. Normally, interval arithmetic should be ideal for
this, but unfortunately RealIntervalField() is quite a bit slower than
RealField(). So I'm thinking about creating a faster (but more naive)
version of RIF, which internally computes with (value,error) pairs. We
obviously still want rigorous error bounds, but in the end result, the
error might be bigger than what true interval arithmetic would give.
Is this desirable or is it a bad idea?
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