Comment #2 on issue 3250 by [email protected]: simplify() results in loss of precision
http://code.google.com/p/sympy/issues/detail?id=3250

I found the problem. It's in RealDomain.from_sympy(), in sympy/polys/realdomain.py. At the top it calls "b = a.evalf()", which resets the precision.

But even without that, it uses the mpf dtype internally, and that uses it's own precision stuff. So this is not so easy to fix, without fixing the float handling in the polys.

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