Hi Ondřej,

I am willing to work on Rubi Integrator this summer. I went through the 
issues you raised for this project and this idea really sounds cool. It 
would be great to segregate the different methods of integration into a 
decision tree which would hence improve its performance. 

Before implementing Rule-based integrator we need to implement fast pattern 
matching/replacement for the set of 10,000 rules so we need to plan out an 
efficient decision tree for it. 

log(x*y) -> log(x) + log(y);   x > 0, y > 0


In the above example how do we exactly move on with domain restrictions 
(i.e. x, y).

On Wednesday, March 1, 2017 at 8:39:41 PM UTC+5:30, Ondřej Čertík wrote:
>
> Hi, 
>
> Here is a project that I would love to see happen: 
>
> https://github.com/sympy/sympy/issues/12233 
>
> I am available to mentor it, and I think quite a few people are 
> excited about it and such a system/framework (i.e. set of rules for 
> patter matching + compiler to generate a fast if/then/else decision 
> tree) would have applications beyond just integration, but integration 
> would already be super useful. As you can browse on Rubi web page, the 
> integrator's capabilities are very impressive, i.e. the rule based 
> system Rubi 4.9 can do more integrals than Mathematica, and is about 
> as fast, due to the large number of rules, and the if/then/else 
> decision tree Rubi 5 promises an order of magnitude (or more) speedup, 
> but it's still in development. 
>
> The project is big in scope, so there could even be multiple projects. 
> If anybody is interested in this, please get in touch, and try to 
> propose a good plan. 
>
> Ondrej 
>

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