I think Sage's integration can't compare to Mathematica's. The output is 
not as clean and it doesn't solve as many integrals and it is not as fast. 
Sage is used by many students, and in my opinion, its profitability and 
sustainability in the future depends on classroom use, to a large extent. 
For that reason alone, I think it is worthwhile to make integration cleaner 
and better, as that is what the majority of students do. I'm not sure what 
the  qualm against adding thousands of rules is. If it's more efficient and 
effective, why does it matter if its similar to a student who simply 
"memorizes the formulas." Also, saying that we can integrate better than 
mathematica is definitely a solid advertising point. 

My main question is why this is so difficult to implement. Is the 
difficulty in implementing the "if-then-else"/binary-search-tree method? Or 
is it with converting the mathematica code to python? I have a hard time 
believing it's the latter. It's just that several people have said now that 
implementing Rubi is unfeasible, and I don't totally understand why. Could 
someone clarify this for me?

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