Someone used Nom for Advent of Code last year and found "The regex approach benchmarked at about 1ms while the parser approach benchmarked at 145 nanoseconds." [2] Maybe I'll try benchmarking Nom vs. regex for a follow-up post.
I find regexes are easier than parser combinators for simple tasks. If the problem is small, parser combinators are overkill. But if the problem gets complicated, I think parser combinators are more readable. You can break a parser combinator into small, well-documented, well-tested parts more easily than a big regex. But I still use regex more in my work, because most complex parsing I just throw into serde.
[1] https://github.com/Geal/nom
[2] https://www.christopherbiscardi.com/advent-of-code-2020-in-r...
Alternatively one can build a parser combinator library that compiles to a large Regex. That Regex would return a big Matcher, so a convenience wrapper for that would need to be made usable by a wrapper created from the same parser combinator.
Maybe I'm misunderstanding what you meant, but I don't think you can do this in the general case (since parser combinators can describe languages that are more complicated than/not describable within regular languages).
https://github.com/dfhoughton/pidgin
As it says there, you can only build non-recursive grammars this way.
And the reason I wrote that crate:
https://github.com/dfhoughton/two-timer
And the reason I wrote that crate:
https://github.com/dfhoughton/jobrog
And having written these crates, I went back to writing Ruby for my day job. I am not a very experienced rustacean, and what skill I developed writing these things has faded, but I use the last one daily, so the regex-based parser is still working pretty well.
* It's a "parser combinator library" inasmuch as it allows you to write reusable parsing rules that can be components of other rules.
Not an parser guru, but when I used megaparsec in Haskell course, I never thought I should switch to regex for speed.
But it almost certainly depends on what you're doing. If you're using Nom, you're probably performing a parsing task. A regex might be faster there, but maybe not by too much, depending. If you're doing a searching task though, perhaps where there are few matches relative to the size of the haystack, then it's quite plausible that the regex will go a lot more than 3x as fast as Nom.
In any case, I'm not sure if Haskell is comparable. I'm not sure that any Haskell native regex engine is really known for its speed, although I haven't done any sort of comprehensive benchmarking.
There are other considerations. A parser written with Nom might be easier to read and/or manipulate than a parser written with regex. But even there, it depends.
In regexp those (nested) alternatives may be expressed much more efficiently as state machine or whatever.
https://www.cloudcity.io/blog/2018/11/08/parsing-logs-230x-f...
In the end I didn't use Nom for the time being, as the author said:
> While wondering if there was a way to make it faster, I started re-reading the nom docs carefully, and that’s when I noticed that “sometimes, nom can be almost as fast as regex”. Feeling pretty silly, I went and rewrote my rust program to use the regex crate, and sure enough it got 3x faster.
Nom parser library is slower than regex crate? In simple cases it might not be worth it unfortunately.