Hello!

I'm Keval and I'll be applying for GSoC this year.
After going through the ideas page, I found Step-by-step Expression 
Visualization 
<https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#step-by-step-expression-visualization>
 project 
very interesting and practical for improving SymPy efficiency to explain 
what it's exactly doing.

A good approach to implement this would involve solving the problem in 
stages, where one will be given intermediate solution (also presented as 
the output). Another advantage of this would be the use of already 
implemented _eval_derivative method and similar properties.
We can have an extra method/variable defined which allows us to find 
whether the expression can be solved in any other way than 
"hand-algorithm". If not, then we would follow the default procedure, to 
achieve minimal redundancy of code.

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