The plotting module uses numpy floats so it will fail on very small
number or on small intervals.

Even worse, the main plotting backend, namely matplotlib, also uses
machine precision, so even if we do the calculations in mpmath, we
will have to do the rescaling ourselves.

However in this case the problem is not only in the plotting module because both

E(exp(I*1e-26*X)).evalf()

and

E(exp(I*1e-30*X)).evalf()

return real parts of 1.0

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