Hello, Mateusz.

> Can you tell us more about what didn't work or worked not the way you
> expected it to work?

I'll firstly looked at unittests of simplification and saw, that ratsimp() 
often 
fails. For example http://pastebin.com/yeuBa7R7 (but my improvement isn't 
ideal too).
Also i didn't noticed yet, but at #sympy i was told, that thrigonometrical 
simplification is weak too.

> Do you plan to only extend simplify() to support more classes of functions
> and rewrite rules, or you would like to implemented complexity measures and
> make this function a decision procedure for minimization of symbolic
> expressions (or both)? Maybe there are other areas of expression
> simplification you would like to explore, e.g. context based
> simplification, preservation of initial structure of expressions, etc.
> 

Well, i haven't decided yet about descriptive plan of work. I can say that i 
want to improve sympy as much as i can. But i'll start working on quality of 
expressions simplification, and when i'll be satisfied, i'll pass to functional 
expanding.

> What problems do you solve (or plan to solve) employing symbolic
> computations? Maybe you can share some practical examples where SymPy can
> be used.
> 

My masters theme is about algorithms, not about appliance. But if i find such 
examples, i'll share.

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