* Normalization: this is where "smart constructors" come in handy; having a normal form for the terms allows the caching to work better. This also impacts the compactness of the generated DFA. * Hash-consing: this turns structural equality (in this case) to a simple pointer equality; applied recursively, this makes it much faster to compare two terms for equality, and overall speeds up the DFA generation by a non-trivial amount (I forget the exact numbers, but it was significant). * Dense set implementation: The AVL tree-based data structure in the facio/Reggie code is an implementation of the Discrete Interval Encoding Tree (DIET) data structure from "Diets for fat sets" and "More on Balanced Diets" papers.

Note the optimizations I've mentioned here impact the performance of generating the DFA. Once you have the DFA, it'll run at the same speed as one generated in any other way. Part of the motiviation for my writing this library was to learn about regex/DFAs/grammars, but also to try to improve on the performance of fslex/fsyacc at the time. Using this library, the FSharpLex tool can generate the DFA for the full F# language grammar in well under 1 sec; the code generation takes a bit longer, largely due to having to convert the DFA into a different form for backwards-compatibility with fslex.

Overall, I feel like the derivatives technique is generally better and simpler, and I'm not aware of any real downsides. The only one that comes to mind is if you're wanting to implement things like backreferences and capture groups -- those obviously make the implementation (of the DFA) more complicated, and there's a lot less literature on it (last I saw, maybe only one or two papers on implementing those features on top of a derivatives-based regex engine).