Back when I was fluent in it, I wouldn't reach for Haskell for functional purity or lazy evaluation---I'd reach for it because I wanted the richness and flexibility of its type system and pattern matching for building and manipulating a tricky data model, or because I was doing something involving tree-like linked structures and/or that lent itself well to recursion. Parsers are the obvious example, but they are a very narrow view of what Haskell excels at.
(In short, I'd reach for it for reasons that are basically impossible to explain to somebody who doesn't already know what I'm talking about.)
I can't be so effusive about Rust. It's a really great language with a thoughtful and restrained design, powerful and practical and flexible, but I would actually say the opposite re: filling gaps: Rust feels like more of an iterative improvement in the space occupied by C/C++/Go/etc., while Haskell is transcendently good for those classes of problem where it excels.
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Today I'm more or less fluent in Rust after a few hours' warm-up, but it would take me days or weeks to warm up my Haskell. Why? Mostly because I've largely stopped programming for fun, and I use nothing like Haskell at work. Throw in the quality of Rust's tooling and the largely effortless reproducibility of its builds (great for warming up a 6+ month old project), and it's just a far more practical choice for the little hobby programming I do. Hence my earlier comment. But I still contend that Haskell has vast untapped potential, locked away behind an intractable adoption barrier. It's less that it has nothing new or useful to offer us, and more that we are unwilling to pay the price of admission.
Is the end result reached by other means the same? Can you give an example of a competing approach in a non-pure language that gives one Haskell's advantages?
There is maybe some niches where that wouldn't be the case like very high assurance software where instead of Haskell you might choose say ADA instead but I'm not really familiar with those domains.
Kotlin plus property testing gets you very far and the industry defaulting to that would be a huge improvement.
I'll have to rewrite one of my Haskell projects in Kotlin and see if I feel anything is missing.
Being purely functional seems like a massive win until you realize most of the real world benefit of that expresses itself as testability/correctness which can be obtained by other means. Lazy evaluation is actually a double edged sword so it's not a clear win either.
Rust on the other hand is adding safety and correctness assurance specifically without or with very little runtime overhead while providing very predictable performance (both in runtime and space).
You can sub Haskell out for Clojure/Scala/OCaml and arguably mixed paradigm languages like Kotlin/Rust/Swift and be fairly happy.
However if the constraints of your problem call for Rust then your only other real options are to sacrifice correctness/data safety and use C/C++ instead.
FWIW I think Haskell is awesome, this is just why I think we don't see it in "the real world' much.