> But no claim is raised that the test suites cover the whole range of 
> interesting problems! In fact they developed around the discussion of 
> Albert Rich's Rubi (RUle-Based Integration). It is worth to look this up: 
> http://www.apmaths.uwo.ca/~arich/ 


Wow, that code is amazingly simple! Just a long series of pattern matching 
against an expression with pre-computed results.

What license is it distributed with? That code could be easily ported to 
SymPy by a code generator/translator, if their claim to outperform Wolfram 
Mathematica is correct, that could become the strongest integrator ever.

Considering that, I believe that at the time integration algorithms like 
Risch were invented ('60s and '70s), computers had very small hard memory, 
and rule-based pattern matching was infeasible at that time. It should be 
reconsidered nowadays.

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