Map and filter usually have only one arg and if they have 2, the 2nd is almost always a 0-based index. They look identical in most languages, even when Microsoft chooses to call them Select and Where.
Reduce has an accumulator and a 2-arg function and languages are not very consistent amongst each other as to whether it's reduce(initial_acc, callback(acc, elem)) or reduce(callback(acc, elem), initial_acc) or reduce(callback(elem, acc), initial_acc) or what.
Hard to remember. Also some languages have a version of reduce that doesn't take an initial accumulator at all, which is just a footgun waiting for you to hit an empty collection. Also ALSO, the accumulator can easily become awkward in languages that don't support anonymous types or don't support easy mutation of an anonymous type record. Which is most of them!
Related to the point about worse performance, I'm pretty sure I was there when reduce was "banished" from Python 3 -- demoted to functools.reduce(), instead of the builtin reduce() in Python 2
The story is that sometime in 2006 or 2007, Guido van Rossum was debugging why a web page in Google's internal code review tool (which he wrote) was taking 30+ seconds to render.
This is basically a "production" incident, since thousands of Google engineers relied on the tool. Requests like this were probably tying up threads and exhausting thread pools, perhaps
Eventually it was tracked down to a line wrapping algorithm written with reduce(). I don't think he wrote it -- it may have come in through a dependency. As many know, reduce() is basically:
s1 + s2
s1 + s2 + s3
s1 + s2 + s3 + s4
...
And that's O(n^2) when s_i are strings. And I think it showed up if you viewed a 5000+ line diff, or a 5000+ line file. (Newer programs like Github also suffer here)I believe, in Python at that time, += was already optimized to avoid this (just like essentially all JS VMs are). Or you can use the idiom of append() to list and join() after.
But reduce() basically forces the inefficient implementation, and I'm sure this is still true in Python 3.
---
So basically Guido spent a long time debugging a performance problem related to reduce(), and made the decision to eject it, to help users avoid "footguns". I was his officemate at the time, so I recall this, but I wasn't involved directly
Also, somebody contributed reduce() to Python way back in the 90's, as well as other functional idioms. He wouldn't have added that himself -- it was never his preferred style.
He preferred a more imperative style. But he allowed those contributions, and then slightly regretted it later.
https://docs.python.org/3/library/functools.html#functools.r...
Reduce is a good illustration of the principle of least power[1]: it's powerful, flexible, general and low-level and can technically achieve any combination of summation, map, filter, find/includes, some/any/every, etc. But reduce is misused if it's reimplementing patterns available in higher-level form.
In cases when reduce is required because (for example) JS doesn't have a sum function, it should be kept simple. `arr.reduce((acc, el) => el + acc, 0)` is acceptable if lodash _.sum() is not available.
In cases when reduce is required because the higher-level operations like map/filter aren't flexible enough, decompose the reduction operation into simpler steps and use map/filter with multiple passes, or write a traditional for..of loop.
This principle also explains why enhanced/range/of loops are preferred over counter-based `for` loops, and counter-based loops over `while`. Technically all loops can be handled by `while`, but it's seldom needed because enhanced loops handle the common case with the cleanest syntax. Reduce/while/counter-based `for` loops are antipatterns where higher-level, less powerful abstractions exists.
Map and Filter are nice because they let you reason locally about a single element in isolation. Reduce(Fold) forces you to reason globally about intermediate results. Reduce also forces you to conjure up a "zero" value of the relevant type, which isn't usually difficult but it does constitute some extra mental overhead.
Reduce is like `fold` in Haskell right? Fold in Haskell has many variant, I forgot exactly which, but I remember there were many.
I never met so many different variants of the `map` or `filter` function in Haskell.
Maybe this shows, in a different way from the reasons in the article, why reduce is harder than map/filter.
Even in the world of functional programming, there's an argument to be made that `fold` is a bit of a code smell, in a similar vein as `while` being slightly smelly in an imperative code base. There's good reasons for each to be used, but they are such low level iteration primitives that you might be better off with a higher one (e.g. for loops or iterators in imperative programs; in FP you might reach for monoidic reduces (as opposed to folds where the accumulator is a different type from the list element), monadic traverses, or recursion schemes). Even though you can implement iterators or for loops in terms of while loops, you probably shouldn't, and similar for functional traversals.
In languages like python or Java though, you don't really have access to many of the higher power functional traversals however. So that puts you into a similar kind of bind as working in a language with only while loops
Ive only used reduce at work half a dozen times and it does raise an eyebrow each time.
But for unioning a bunch of spark dataframes together i think
df = reduce(DataFrame.union, list_of_dfs)
is much nicer than df, *rest = list_of_dfs
for other in rest:
df = df.union(other)
People just get a bit funny, especially now you have to import it from functoolsI assume the author is talking about `fold`, as in `[A] -> B -> ((B,A) -> B) -> B`, and not what I often think of as reduce as `[A] -> ((A,A) -> A) -> A`.
`fold` is awesome and super useful. It's the easiest and most convenient way to turn a collection into a single value. Put me anecdotally in the opposite bucket.
For me it's the name[0]. map puts out an array that has been mapped from another array. filter puts out an array that is a filter of the input array. both of those are always true. reduce, on the other hand, may put out a reduction of the input array (probably most of the time), but the fact that it may not means that what is happening is not actually a reduction. In languages like js/ts, you don't even have to return anything of the same type as the input array's elements. You could literally "reduce" and array of integers to a cancellation token, or a state object, or anything else.
I realize it's not the most efficient way to work, but I like my code to read like instructions. There's nothing reduce will do that a for loop won't accomplish and the for loop (+ an accumulator, of course) is more clearly "readable" than reduce. If I read map, I know what's going on. If I read filter, I know what's going on. If I read reduce, I have to figure out what's going on, even if I'm pretty sure what is going on. If I could rely on reduce to always give me back an element of the input array, I would use it more. But since it can give back anything, I prefer the simplicity of a for loop.
[0] I don't have any suggestions for "better" names because the whole operation is hard to sum up in a word? "dispatch" makes sense, as a function dispatching a function over each element in an array, but it masks the concept of accumulation from return values. "transform" is accurate, but hardly descriptive at all. the list goes on. It's an undeniably useful little function, it's just hard to make it easy to understand and therefore debug.
At least in TypeScript, it's a bit clunky to type, and I usually forget the order of the reduce function's arguments (accumulator, current item). Maybe it's just me, but it's especially easy to forget the order when the position of the accumulator is the 1st argument to the callback but the 2nd argument of the reduce function:
array.reduce(
(accumulator, currentItem) => {...},
initialValue,
)
In .filter(), The current item is the 1st argument and the intermediate/accumulated value comes later: filter((currentItem, index, intermediateArray)) => ...)I use .filter() more often, so that argument ordering where currentItem is right next to the array is more intuitive for me
Speaking as someone who often tries to reduce my use of reduce by replacing it with map and filter where possible, for me, falling back to reduce is analogous to falling back to a while loop or a for loop: I avoid it if I can.
The problem with reduce is that it can do so much, and therefore it is less clear when reading it quickly what it might be doing.
I think this is because in an imperative language, `reduce` does not actually give you much over a `for item in collection` loop. With `map` and `filter`, you immediately learn something about the result (it's a list of the same length as the original, with each item only depending on the corresponding original item; it's a list containing some of the original elements unchanged and nothing else). This is useful, so `map` and `filter` are good.
With `reduce`, the result could be anything, and in an imperative language, side effects are also possible. So it's just a loop with worse syntax.
(Admittedly, in an imperative language, `map` and `filter` could also have side effects, though I think most people would consider this bad style.)
(JS/TS is my main language) I love reduce()! It's a hammer/nail method for me. Everything looks like a problem solvable by reduce. (I'm often wrong on that, but I quite enjoy learning why by trying).
I really like taking the implementation away from the call site, so that the call site reads
const myNewValue = data.reduce(doSomethingMagic);
(and then `doSomethingMagic` is defined somewhere else). So simple.I failed a job interview once by using reduce() in a coding test. The reviewer didn't understand why I hadn't used a loop. Loops are easier, for sure, but they sprawl and are open to hacking. They can bring in state from outside the loop. They make the call site long (you always have to read the implementation to learn that you don't need to read it). The same interviewer actively liked to have loop bodies modify the loop conditions (e.g. by taking items out of the source array and decrementing the end condition, so the loop would end earlier). That's the kind of "clever" I find unpredictable and hard to think about. Probably a good thing he rejected me.
I am a typescript dev and I like reduce but also feel like I am the exception.
The standard linter plugin eslint-plugin-unicorn even has a rule "no-array-reduce" that is part of the recommended config, which means most people using this plugin will have no reduce in their codebases:
https://github.com/sindresorhus/eslint-plugin-unicorn/blob/m...
You didn't get that complaint in Clojure, just like you wouldn't in Scala or Haskell, is that once you have any expectation that your users know a little bit of category theory, and possibly also thinking in types, it's all quite easy. Even fold is kind of easy, with the more complex signature. But passing [A][A,A =>A] kind of sucks for those that don't think of functional programming. and [A][A,B => A] is even worse. It's often bad enough to get people to build a comparator.
Every industry language keeps gaining more and more functional features: Many a new Java version is adding a bunch of scala features with worse syntax. But we don't train people on functional programming at all, so by the time they've built their instincts, passing functions makes no sense to them, immutability is alien, and the idea of a pure function seems irrelevant to them. Thus, they don't get exposed to the building blocks that make reduce seem simple. We always teach them recursion, but the rest? Too little, too late.
I could tell you of a bunch of ways to simplify the signature by, say, mandating that one passes a monoid or something like that, but while the signature would be easier, the very same people that are only used to imperative OO will not have an easier time, because they might have studied 2 years of calculus, but they've never even smelled abstract algebra. You can walk out of not just a programming bootcamp, but many a computer science degree without learning a word of this. Therefore, it all remains complicated.
I like it conceptually, but the main issue for me with reduce is that it's hard to know exactly how the reduction will actually be executed.
The FUBAR potential with map and filter is much smaller, with reduce it depends on deep knowledge of the internals of the reduction itself, which makes it not as useful as a safe abstraction.
What's hard to understand about it? It's just
x = initial
for y in collection:
x = f(y, x)I am always happy when I find an opportunity to reduce or zip, so handy.
I also like Lodash'es transform[1]. It's like reduce, but expressly for transforming one collection to another. The signature is a slightly different from reduce in that the accumulator is a collection that is passed as an argument to the iteratee who is expected to mutate the accumulator with no need to return it. This frees up the return value from the iteratee for a new purpose: if the iteratee returns a boolean false, then transform early outs. I have used that feature more than once!
The name itself is confusing to begin with.
I come across reduce once in a few months, then I think it's a neat trick and a nice to have function.
then I forget it's even available and don't ever use unless these days LLM brings it up again.
It's simple really: looping is something we've all done a ton. Map is just a specialized version of something you do all the time, made better/simpler: what's not to like (and learn quickly)?
Reduces are used much, much less often. Most devs don't get familiar with them as a result, so every time they have to read a `reduce` they have to re-learn it. And of course, it's a much more involved/complex function, so that exacerbates it.
It would be clearer if the operation were part of the name. The most common operations have good names, like sum(), product(), concat(), and so on.
If there's no standard function for it, it's trivial to write a utility function.
And as part of writing the function, give it a good name and think a bit about the order of operations?
So I think reduce() is just unnecessarily generic, unless it's part of a more complicated system like running a map-reduce.
Some conventions are socially made... In C, some uses
#if 0
these_lines_are();
not_executed();
#endifbut most of the cases people just use
/* comments
* these_lines_are();
* not_executed();
*
* end comment */
Then, why?
#if 0
#endif
looks clear and it definitely says how a computer skips many lines.
But we just don't use it because it implies low-level knowledge "that every C developers have"
> reduce is less elegant in languages I use, like JavaScript, Python, and Swift. In my blissful stint as a Clojure developer, I did not get this feedback.
Two notes:
1. reduce if a part of functional programming vocab, so, obviously, a Clojure dev has to internalize it to be able to use the language properly. For other mentioned languages it is not that necessary.
2. As a (mostly) Python dev, I think that list comprehensions and generator expressions are much easier to read and understand than map and filter. Although, people coming from other languages and having limited experience with Python specifically might disagree with me. Perhaps, we should think about inventing some nice syntax sugar that around the concept of `reduce`ing and `fold`ing, similar to what list comp/gen expr in Python did to concepts of `map`ing and `filter`ing.
I like reduce in principle since it generalizes a simple concept pretty nicely. I don't use it that much in practice since its alternatives just require less brainpower. It competes against using local mutable state with a loop or iterator combinator which I would argue are easier to wrap your head around (i.e. loop with variable/map with closure). I would argue its one of those cases where something is just harder to do/understand in functional vs imperative programming.
I remember finally getting what closures and reduce are when I learned Ruby in 2008 for my first Rails job.
A pivotal moment on the same level as when I finally understood how recursion and pointers work in 1995 in my first semester CS classes (taught in Modula 2), two concepts I had only ever read about in programming books, but not been able to understand on my own.
In 2024 I did Advent of Code in Swift, without using mutable state, custom data types or loops, and used reduce rahther generously. [1]
[1] https://github.com/search?q=repo%3Aantfarm%2FAdventOfCode202...
I've seen a lot of technical points about reduce, all of which are true.
But I think the real reason might be even simpler: you can't tell what it does just from the name. What `map` does is consistent with well-known programming jargon. What `filter` does is consistent with the word's everyday meaning. But if you don't already know what `reduce` does, it's name isn't even enough to hazard an educated guess.
That's not true in Clojure because for lisp programmers for two reasons. First, `reduce` is a ubiquitous and well-known concept in lisp.
Second, in most lisps manually doing the same task with imperative code is an ugly verbose eyesore. But in algol-style languages, the imperative alternative is only 1-2 extra lines of very simple code, so using `reduce` is arguably just code golf.
Every single `reduce` can be replaced with a more intuitive `groupBy`, `partition`, `mapValues`, `keyBy`, etc.
Reduce can approximate anything, that doesn't mean we should use it.
My favorite antipattern is
items.reduce(
(acc, item) => ({
...acc,
[item.id]: item,
}), {}
);
Like, why? Not only is this ridiculously inefficient O(N^2), it's also longer and less understandable than "build a new map" version.I dislike reduce because people sometimes do wild things in the callback that take a lot of mental effort to understand.
Sometimes people abuse .map as well to do things that are not obvious (i.e. instead of mapping elements of an array to another array, they modify global variables in a for-loop fashion, and discard the result).
But reduce is abused more often and you always need to think really hard if e.g. the initial accumulator is passed or not (it's optional in some languages!), if a correct one is passed (when a compound type is used) and so on.
I am using reduce to replace the nonlinear loop in the code instead of the for statement.
One of the books that most affected my understanding, ability, and joy of programming was Mark Jason Dominus' "Higher Order Perl."
So I love reduce, and have for many years.
I like it, but it is by far the most ungainly of the three with the most footguns in it's usage.
While not as functionally pure, I always appreciate the Ruby each_with_object https://ruby-doc.org/3.4.1/Enumerable.html#method-i-each_wit... as a more pleasant interface for it.
I find `reduce` useful for operations where:
- arg1, arg2 and return value are all of the same type e.g `ADD`, `MAX`, `CONCAT` etc
- and there is an identity value e.g zero for `ADD`, -math.inf for `MAX`
I recommend checking this article[1] on how monoids play nicely with reduce.
[1] https://fsharpforfunandprofit.com/posts/monoids-without-tear...
The only part of "hard to read" that has ever made sense is that the callback takes multiple args and sometimes I can't remember the order of the initial value versus the accumulator.
Incidentally, reduce is also powerful enough to implement both map and filter in terms of itself, though that's more of a teaching exercise than a good recommendation.
I mostly interpret it as of the same spirit with those who oppose proper tail calls because it "ruins" their debugging stack traces.
I wanted to add that from personal experience tastes can change! I didn't like reduce when I was first exposed to functional programming, but have come to prefer it.
Might be nonsensical, but one thing I sometimes wonder is why I reach for reducing a list to a value more often than I need to generate a list from a starting value. I guess the asymmetry has something to do with the kinds of applications I work on.
It's part of the functional trio: map, filter, reduce--and half of MapReduce.
IDK, in JS I love reduce and think it is invaluable. If you don't care about closures, never used underscore/lodash, and have not written several hundred var self = this; then you don't share my pain. IMO fat arrow const/let kids don't know about walking uphill to school both ways. Also I agree with commenters who use prev instead of acc, it is much easier on my brain to use prev.
TypeScript basically ruined reduce for me though, so there is that.
In my experience, it depends a lot on the language and the folks you work with. I’ve gotten an eyebrow and a stern talking to for using ‘map’ in JavaScript once. Some people are die-hard about statements and keywords and imperative programming and their world view and be myopic.
“We can’t have map in our codebase, we need to be able to hire anyone off the street and have them comfortable in our codebase.”
Well… since when did we hire random people off the street?
I’m used to functional programming. For me, reduce is perfectly normal. Fewer intermediate variables. No pesky statements, just a nice expression. Great.
Buuuut… some languages think implementing tail call optimization is too hard or bad or for ivory tower academics. Or they’re dynamically typed. And then reduce does become difficult to special case and make performant. So even if you like the juice it’s probably not worth the squeeze.
It was a great time working with Haskell professionally. I didn’t have to constantly defend my style of programming! But in “everything” languages… well you do. Everyone has to agree on which subset to use. And programmers are like cats. Good luck getting them to agree on anything. Even once you agree there will always be that one challenging the decree.
In python: I've always thought it's funny that of the list functions (map, filter, reduce?), reduce is the one that was removed, but is the only one that I occasionally reach for. (When I remember it doesn't exist, I'm usually happy to write the more readable three-line for loop.)
The other two can be simply expressed as a list comprehension, but afaik you can't with reduce (and if you can, it's probably awful).
I personally find recursive functions mentally easier to write than folds. Maybe because I can never remember the argument ordering and the inferred types throw me off.
reduce has complexity to handle the edge case of an empty iterable, and also for the case of a binary function with different types for inputs and outputs. That makes it harder to reason about and "uglier" than map and filter. People probably hate sum and product significantly less, both those also have the edge cases of empty iterable, in which case the natural result is 0 for sum and 1 for product sure, but of what type?
While we're on the subject, can someone explain to me why in Rust, you need to annotate the type when you call .sum() on an iterable? For example
let p: i32 = [1i32, 2, 3].iter().sum();
println!("hello {}", p);
That works, but fails if I replace `p: i32` with `p` or `p: i64`, and I cannot find a satisfactory answer in any thread or llm. The obvious question is why the compiler cannot infer the type from the element type of the container, and the naive response to that is for flexibility summing into a bigger type. But in that case, why would `p: i64` be rejected? And what other type is allowed besides i32?I was going to write a question asking if reduce is the thing I know as accumulate (I think I picked this up from SICP). But then I went to wikipedia, and it seems that an even more common name is fold.
Here's a hypothesis: The fact that the same operation has half a dozen different names makes it sound like there is a lot to learn. If I am totally familiar with fold, and i come upon a reduce, I may need to think more about what's going on, which is distracting.
I don't think map and filter have so many synonyms? I know select for filter, but it seems to me less common.
Map maps a value into another value. It's a function call. Easy to understand.
Filter picks values according to a rule. It's a select from where condition. Maybe not as easy as map but familiar.
Reduce is, what? Even the name is ill fated. Who wants to be reduced? Hence, harder to understand and probably not as common as the other two.
My favorite gotcha is Java's `Stream.reduce(accumulator)` doesn't call the accumulator if your stream has zero or one elements. This is used for `min(comparator)` and `max(comparator)`. It's very funny when the comparator throws, but only when you have 2 or more elements.
I came to like reduce when I learned clojure transducers. even in clojure, I always go for looping construct before transducer and then both reduce and transducer just clicked at the same time and I like reduce more now.
It's on my list of things that are awkwardly named because there's not a great name to choose, particularly given how wide the different use cases are.
I’m so confused, how are you supposed to perform aggregation without reduce? This is like saying “I like plus and times, but I don’t like divide because it’s hard.” I mean sure, but you need it??
I'm the weird one here. In JS at least, I reach for reduce before map and filter in most cases. Often it is because I want the accumulator, particularly when I have a list of objects with various properties that I wish to sum together in a reduced object.
In imperative languages, it's a leaky abstraction not reducing the cognition overhead, compared with the plain loop.
Reduce introduces state (accumulator), unlike map/filter which normally are used for immutability.
I use both, but do not like reduce at all. It's harder to read, yes. But I see the point of using them all.
I liked reduce. You know, back when writing code was actually a thing we all did.
However, in those times of yore, I would often go back and remove it before committing. Unless you’re surrounded by other clever people, or it’s a personal project, you’re leaving behind some very elegant looking anxiety for the less gifted developers. Usually just to save one or two lines of code.