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Comment #9 on issue 3658 by [email protected]: hydrogen.py very slow
http://code.google.com/p/sympy/issues/detail?id=3658

It does do useful computation. It shows that when the integral i is evaluated it evaluates to 0. It is important that the example use the code and not just print out the result.

This is a very strange bug.

These are fast
i = Integral(R_nl(1, 0, 1, r)**2 * r**2, (r, 0, oo))
ii = i.doit()

This is slow
Eq(i, ii)

The slow part must be inside the Relational call. A good approach would be to go through that code with the inputs i and ii above step by step and see which line causes the slowdown.

This is an important problem.

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