_______ __ _______ | | |.---.-..----.| |--..-----..----. | | |.-----..--.--.--..-----. | || _ || __|| < | -__|| _| | || -__|| | | ||__ --| |___|___||___._||____||__|__||_____||__| |__|____||_____||________||_____| on Gopher (inofficial) URI Visit Hacker News on the Web COMMENT PAGE FOR: URI How we decreased GitLab repo backup times from 48 hours to 41 minutes hinkley wrote 4 hours 49 min ago: This feels like some of the problems Iâve ended up tackling. The people too close to the problem donât see it so someone has to reach across the aisle and make something happen in code they normally wouldnât touch. Even with the quadratic complexity I suspect this problem has been brewing for a while. This commit has been biding its time for 16 years waiting to ruin someoneâs day (letâs not confuse the utility of Make it Work early in a project with justifying retaining that code in perpetuity. Make it Right, Make it Fast.) Backups have probably been going over six hours for years and steadily climbing. âWeâ feels a lot like one or two people jumping on a grenade. fHr wrote 5 hours 38 min ago: absolute chads, nice! jas39 wrote 13 hours 13 min ago: What a poor write-up, neither defining the problem nor the solution with any clearity. Did anyone come away with any information that can be used for anything? SkiFire13 wrote 14 hours 42 min ago: > Ultimately, we traced the issue to a 15-year-old Git function with O(N²) complexity and fixed it with an algorithmic change, reducing backup times exponentially. I have yet to finish the article, but this means they improved the complexity to something like O(logN), right? I hate when people confuse quadratic improvement for exponential ones. globular-toast wrote 14 hours 37 min ago: Really annoying to see someone use exponential wrong when they're talking about performance of algorithms. We're supposed to know what this means! They went from quadratic to linear. ianks wrote 16 hours 8 min ago: Reminds me of the timeless advice I got for acing leet code interviews: âremember to use a hash map.â Tends to work out pretty well. DeepYogurt wrote 16 hours 53 min ago: I miss a good tech blog post. Cheers for this KETpXDDzR wrote 19 hours 56 min ago: With git it should be straightforward to implement an incremental, dedup backup solution since all objects are stored with their hashs in filename. mdaniel wrote 3 hours 37 min ago: Run `man git-repack` or its `man git-gc` friend and recall that most filesystems hate dealing with a bazillion small files I think there have been several attempts to use S3-ish blobstores as git backends but of the two major git hosters, only one of them is MIT licensed and they don't attempt that stunt, so safe to assume it's not a viable approach katella wrote 21 hours 40 min ago: I don't know much about git backups, but why would there be race conditions if you just create the backup off the local repo instead of remote? tcdent wrote 22 hours 29 min ago: TLDR if you only add objects to an array that are already not contained in said array you won't have to iterate back through it to remove the duplicates you created. wild that this a pattern like this would be part of git-core, but I guess we all overlook stuff on a regular basis iamcreasy wrote 22 hours 48 min ago: Cool! Please post another flame graph after applying the patch. niffydroid wrote 1 day ago: Why use this method over just having a script do a clone or pull elsewhere? Got is about distribution right? kristianp wrote 1 day ago: It would have been nice if the post included some details, such as before and after code. sneak wrote 1 day ago: â¦and they say leetcode-style problems are out of date. While perhaps implementing low level sorts is silly, knowing which data structures to use and when, and what underlying big-o performance they have, is critical, as demonstrated here. einpoklum wrote 1 day ago: I had a somewhat similar experience when writing a "remove duplicates" extension for Thunderbird: [1] I used a hash to begin with, using a simplistic digest function to the message headers I was comparing, getting me a 4-byte hash key. That worked, but was kind of slow. Finally, the idea came to me to not apply _any_ digesting, and use the combined concatenated headers of the messages as hash keys. About 2k bytes per hash key! The result: About 20x perf improvement if memory serves. How is that possible? The reason is that the code all runs in a Javascript machine; and applying the digest was not a built-in function, it was looping over the headers and doing the arithmetic. Thousands upon thousands of JS abstract machine steps. The use of the large hash key may be inefficient, but - it's just one JS object / dictionary operation, and one of the most heavily-optimized in any implementation. URI [1]: https://addons.thunderbird.net/en-US/thunderbird/addon/removed... bob1029 wrote 1 day ago: I'm confused why you wouldn't simply snapshot the block-level device if the protocol of the information on top is going to cause this much headache. Quiescing git operations for block level activity is probably not trivial, but it sounds like an easier problem to solve to me. This is the approach I've taken with SQLite in production environments. Turn on WAL and the problem gets even easier to solve. Customer configures the VM for snapshots every X minutes. Git presumably doesn't have something approximating a WAL, so I understand the hesitation with this path. But, I still think the overall strategy is much more viable and robust to weird edges within git. lbotos wrote 1 day ago: > Git presumably doesn't have something approximating a WAL, so I understand the hesitation with this path. Bingo. One of the worst problems is helping a client piece back together a corrupted repo when they are using snapshots. Check my profile to see how I know. :) It's usually an OMG down scenario, and then you are adding in the "oh no, now the restore is corrupted." It's fixable but it's definitely annoying. amtamt wrote 1 day ago: > This is the approach I've taken with SQLite in production environments. Turn on WAL and the problem gets even easier to solve. A few months back a better solution was provided by SQLite: sqlite3_rsync URI [1]: https://www.sqlite.org/rsync.html nonameiguess wrote 1 day ago: Gitlab isn't just a managed service. They release the software for self-hosted instances as well. There is no guarantee or requirement that users all run Gitlab on the same filesystem or even a filesystem that supports block level snapshots at all. Presumably, they want a universal backup system that works for all Gitlabs. bob1029 wrote 1 day ago: I've never heard of a .git folder that spanned multiple filesystems. It sounds like we are now conflating the git workspace with everything else in the product. There are system requirements that a customer would be expected to adhere to if they wanted a valid enterprise support contract with one of these vendors. nonameiguess wrote 1 day ago: I can't reply to the other reply for some reason, but what they said is indeed what I meant. gitlab.com might be running their Gitaly servers on btrfs or zfs or lvm volumes or whatever, but other customers may be using ext2. Gitlab the company could require customers to only run Gitaly on a specific filesystem, but up to now, they never have, it would be pretty shitty to suddenly change their minds after a decade plus of establishing one expectation, and whoever the developer is who submitted the patch to upstream Git and got a technical blog post out of it has absolutely no power to dictate contract terms to enterprise customers personally and instead did what is actually in their power to do. to11mtm wrote 1 day ago: I think GP's point is that the filesystems used by someone self-hosting gitlab may not be the same as what gitlab themselves are using. File systems can be weird. Sometimes the OS can be weird and fsync type calls may not do what you expect. At least at one point MacOS fsync didn't behave the same way as Linux (i.e. Linux should ensure the write is truly done and not just in cache so long as the drive isn't lying). [0] > There are system requirements that a customer would be expected to adhere to if they wanted a valid enterprise support contract with one of these vendors. Gitlab has a community edition. Not handling data well would be bad for their public image. [0] - URI [1]: https://news.ycombinator.com/item?id=30372218 SoftTalker wrote 1 day ago: Cool discovery but the article could have been about 1/10 as long and still communicated effectively. At least they didn't post it as a video, so it was easy to skim to the important details. m104 wrote 2 hours 15 min ago: It's the "impact" style of technical write-ups: sell the problem and the scale, then present the solution, which is thus presented and understood through the lens of business and customer success. Generously, this writing style is supposed to show the business value of teams and individuals, for promotions or other recognition. But yeah, it can be frustrating to read this style. hliyan wrote 7 hours 9 min ago: Interesting that multiple people are noticing this same thing. For me, this could have been: "We found that a large portion of the 48 hours taken to backup our rails respository was due to a function in `git bundle create` that checks for duplicate references entered as command line arguments. The check contained a nested for loop ( O(N2) ), which we replaced with a map data structure in an upstream fix to Git. The patch was accepted, but we also backported fix without waiting for the next Git version. With this change, backup time dropped to 41 minutes." davidron wrote 21 hours 38 min ago: For those that haven't read the article yet, scroll down to the flame graph and start reading unit it starts talking about back porting the fix. Then stop. wgjordan wrote 19 hours 16 min ago: "How we decreased reading 'How we decreased GitLab repo backup times from 48 hours to 41 minutes' times from 4.8 minutes to 41 seconds" 1oooqooq wrote 1 day ago: it could have been longer. I still don't know why they were doing backup bundles with two refs :) 6LLvveMx2koXfwn wrote 18 hours 37 min ago: They weren't, if you look at the fix [1] the dedupe loop was run in all cases, not just those with known dupes, so the performance hit was any bundle with lots of refs. 1. URI [1]: https://github.com/git/git/commit/bb74c0abbc31da35be529995... rjmunro wrote 3 hours 38 min ago: But why couldn't they just dedupe the refs from the command line before starting the actual bundling - surely there are never more than a couple of hundred of those (one per branch)? kokada wrote 1 day ago: Yes. I read the whole article thinking that this must have been generated by LLM, because at least the style remembers it. djdeutschebahn wrote 7 hours 22 min ago: Exactly thought the same. Reading experience of the post would have been definitely improved, with less text. bearjaws wrote 8 hours 34 min ago: Don't take my bullet points away from me jorvi wrote 8 hours 4 min ago: They came for the em dashes, and I did not speak up. Then they came for the bullet points, and I did not speak up.. jaygreco wrote 17 hours 15 min ago: Glad I wasnât the only one who thought this. The post is also missing one obvious thing that I expect in any technical post: code snippets. Let me see the code. ChatGPT has ruined bullet points for the rest of us⦠No offense but writing this blog post couldnât take more than a few minutes, why spoil it with LLM? Shoot, use one to check grammar and recommend edits even. Scaevolus wrote 18 hours 36 min ago: Em dashes and bullet points! ruuda wrote 23 hours 35 min ago: That was also my thought. prymitive wrote 1 day ago: Well done, next maybe make the web ui usable because right now thereâs absolutely no distinction between the UI itself and the user content, which IMHO combined with action buttons in the middle of the page makes for a really poor ux. divbzero wrote 1 day ago: There seems to be a lesson here about the balance between premature vs. anticipatory optimization. Weâre generally warned against premature optimization but perhaps, as a rule of thumb, we should look for optimizations in frequently-called functions that are obvious and not onerous to implement. Quekid5 wrote 1 day ago: If a set-of-strings was trivially available in the source language (at time of implementation) the original programmer would probably have done this (relatively) trivial optimization... This is a symptom of anemic languages like C. ashishb wrote 1 day ago: O(n^2) is fast enough to end up I'm production and slow enough to cause problems at scale. The worst troublesome cases of inefficient production are almost always O(n^2). pjmlp wrote 1 day ago: A very good example that writing code in C doesn't help for performance, when the algorithms or data structures aren't properly taken into consideration. IshKebab wrote 1 day ago: I would say C makes this sort of thing far more likely because it's usually a ton of effort to obtain suitable containers. In C++ or Rust they have plenty of things like `unordered_set`/`HashSet` built in, so people are much more likely to use it and not go "eh, I'll use a for loop". In this case Git already had a string set, but it's still not standard so there's a good chance the original author just didn't know about it. morepedantic wrote 15 hours 0 min ago: I've seen this exact problem in C code many times in my life, especially in kernel space where data structures and memory allocations are fun. Ironically, this is much _faster_ for small sets. Sometimes the error is intentional, because the programmer believes that all inputs will be small. IME, those programmers were wrong, but that's the inverse of survival bias. masklinn wrote 10 hours 44 min ago: And in fairness I can understand not considering someone might eventually be bundling a repository with tens of thousands of refs back in early 2009. masklinn wrote 1 day ago: > In this case Git already had a string set, but it's still not standard so there's a good chance the original author just didn't know about it. The original commit was made in January 2009 ( [1] ), strmap was added in November 2020 ( [2] , strset was added a few days later: [3] ). It was first proposed in 2018 ( [4] the proposal specifically mentions it fixing possibly quadratic sites). As noted in the comment, git did have a sorted string list with bisection search, and that's from 2008 (and it actually dates back to 2006 as the "path list" API, before it was renamed following the realisation that it was a generalised string list). Though as the hashmap proposal notes, it's a bit tricky because there's a single type with functions for sorted and functions for unsorted operations, you need to know whether your list is sorted or not independent of its type. URI [1]: https://github.com/git/git/commit/b2a6d1c6868b6d5e7d2b4fa9... URI [2]: https://github.com/git/git/commit/ae20bf1ad98bdc716879a8da... URI [3]: https://github.com/git/git/commit/1201eb628ac753af57512584... URI [4]: https://lore.kernel.org/git/20180906191203.GA26184@sigill.... pjmlp wrote 1 day ago: Yeah, not something that WG14 will ever care about. divbzero wrote 1 day ago: The performance improvement that GitLab contributed to Git is slated to be released with v2.50.0: URI [1]: https://github.com/git/git/commit/bb74c0abbc31da35be52999569ea... Nemo_bis wrote 40 min ago: Nice that GitLab is active upstream! Do I see correctly that the most active contributors to git are currently GitLab employees? Lammy wrote 1 day ago: > What this means for GitLab customers â [a bunch of stuff about how customers can now back up more frequently and more robustly] Realtalk: They should rewrite this post's headline to be in a positive tense instead of leading with a negative word. I'm glad I read the post, because it is a cool and good fix, but I saw âDecreasing [â¦] repo backupâ and my first thought was that it was an announcement of some service downgrade like some sort of cost-cutting measure. serial_dev wrote 1 day ago: I donât think itâs unreasonable to expect interested people to read five words from the title. I know people donât always do that, but complaining about it as if they did something wrong is ridiculous. robertlagrant wrote 1 day ago: No one was complaining. DamonHD wrote 1 day ago: Here comes an unpopular nitpick: "... we traced the issue to a 15-year-old Git function with O(N²) complexity and fixed it with an algorithmic change, reducing backup times exponentially." Uh no you didn't. Not possible. At most a polynomial reduction is possible else complexity theory needs a re-write. (OK, yes, k could be doing some heavy lifting here, but I doubt it.) If you are going to quote a maths formula then please don't use "exponetially" to mean "lots". I stopped reading there: I don't want to have to read each word and wonder if they actually meant it, or it's just bad hype. bombela wrote 1 day ago: I can forgive exponential as a figure of speech. You missed when they describe using a map for the side effect of [key] dedupliction. Instead of saying "set". The code itself uses the type "strset". immortaljoe wrote 1 day ago: OP here. Feedback is always welcome, I did mean exponentially in the colloquial sense. I do see how it is confusing here, will change it. serial_dev wrote 1 day ago: You canât use exponentially in the colloquial sense in a post about software performance. If my barista says that his new coffee is exponentially better, itâs ok to use it colloquially. If my git hosting provider writes about an impactful performance improvement, itâs not. DamonHD wrote 1 day ago: Thank you. (I don't think that anyone should use "exponentially" that way: it is an art term with a specific and particular meaning, so find another word if you mean something else! Like misusing specific legal or sporting terms...) taftster wrote 1 day ago: Which term is appropriate here? What would you suggest? (honest question) DamonHD wrote 14 hours 41 min ago: "hugely" or "a lot" or "to O(XXX)" whatever the new XXX complexity is. ctxc wrote 1 day ago: Art term? wizzwizz4 wrote 1 day ago: URI [1]: https://en.wiktionary.org/wiki/term_of_art ctxc wrote 1 day ago: Ah, thanks. I could only think of art as in literal, artistic art. kccqzy wrote 1 day ago: If you have that tendency, you just need to think of TAOCP, this industry's best distillation of intellectual achievement, with the word "art" in its name. Arcuru wrote 1 day ago: 48 hours is a crazy amount of time to spend just to compress a git folder, it's only a couple GB. 41 minutes still seems like quite a long time. Why aren't they just snapshotting and archiving the full git repo? Does `git bundle` add something over frequent ZFS backups? gregorvand wrote 11 hours 18 min ago: 15 years also seems like a long time broken_broken_ wrote 11 hours 42 min ago: Reading the article I thought exactly the same! Iâd be curious to know how much time the same would take with zfs. AtlasBarfed wrote 1 day ago: ... so they added caching to things that should have been cached? ... is this really the way people "back up" git repos? I mean, it is git, so isn't there some way to mirror changes to the repo in another repo and just use ZFS / snapshots / backup software / etc to do that? It's a distributed version control system. Just make sure the version control information is ... distributed? unsnap_biceps wrote 1 day ago: zfs snapshots are difficult to offsite in non-zfs replicas, say like an S3 bucket. That said, there's another less known feature that bundles help out with when used with `git clone --bundle-uri` The client can specify a location to a bundle, or the server can send the client the bundle location in the clone results and the client can fetch the bundle, unpack it, and then update the delta via the git server, so it's a lot lighter weight on the server for cloning large repos, and a ton faster for the client for initial clones. benlivengood wrote 1 day ago: I think if you want consistent snapshot backups on non-zfs destinations the safest thing is to clone the snapshot and rsync from the clone. Not a single-step operation but preserves the atomicity of the snapshot. EDIT: you could also rsync from a .zfs snapshot directory if you have them enabled. nightfly wrote 1 day ago: ZFS can send to file or whatever you want to pipe to, you can have incremental sends, and if you convert to bookmarks on the sender you don't have to keep the historical data after you send it bombela wrote 1 day ago: > Be aware that even with these recommendations, syncing in this way has some risk since it bypasses Gitâs normal integrity checking for repositories, so having backups is advised. You may also wish to do a git fsck to verify the integrity of your data on the destination system after syncing. [1] It doesn't tell you how to make a backup safely though. On a personal scale, Syncthing and Btrfs snapshots work plenty good enough. It's as fast as the storage/network too. URI [1]: https://git-scm.com/docs/gitfaq#_transfers ndriscoll wrote 10 hours 58 min ago: If filesystem snapshots weren't safe, wouldn't that also mean git is prone to corrupting your repo in the event of a power loss or crash? That seems like a bad bug. nightfly wrote 1 day ago: Syncthing is the only way I've ever corrupted a git repo before hobofan wrote 1 day ago: I think that's why they specified the "BTRFS snapshots" part. Yes, directly syncing a .git directory seems like a recipe for disaster with how often I've seen individual files lagging to sync, but I guess with BTRFS snaphots one can ensure that only a consistent view of a git directory is being backed up and synced. bombela wrote 1 day ago: Nah I truly do it the wrong way around. Syncthing on the git repos. And one of my device in the Syncthing cluster does btrfs snapshots minutely for recovery and further backups. Because it's at a personal scale, the only time I can corrupt a git repo is if I work on the same repo (and it's workdir) from more than one device in the time it takes for Syncthing to replicate the changes. But even then it's not a big deal because git fsck is quick. And I have my snapshots, and the syncthing versioning, and git defaults to two weeks before pruning. And because of how git works, using hash to identify contents, files are not easily overwritten either. In 10y I only had one git corruption (I ran a command on the same repo on a different machine via ssh, yielding a synctning conflict). Syncthing kept copies of the conflict file. One commit disappeared from the history but not from the database. It was easy to rebase the changes. I think I used git fsck to deleted the syncthing versioned files. LgWoodenBadger wrote 1 day ago: IME, it has always turned out to be the correct decision to eliminate any n^2 operation in anything Iâve written. I donât write exotic algorithms, but itâs always astounding how small n needs to be to become observably problematic. solardev wrote 5 hours 34 min ago: For those of us without a formal comp sci background, is there a way for the IDE to detect and warn about these automatically? Or any other easy telltale signs to look for? As a self taught dev, when I encounter nested loops, I have to mentally go through them and try to see if they iterate through each item more than once. But that's not a very foolproof method. chacha102 wrote 4 hours 44 min ago: Too much domain knowledge for an IDE to catch. I'm self taught as well, and it comes down to spending more time thinking about the code than writing the code. It's a fairly simple thought experiment to ask yourself what if there was 10x items in this array? 100x? That is essentially what the O(n) notation is trying to quantify. You just don't need to do it that formally. esprehn wrote 20 hours 14 min ago: Modern computers are pretty great at scanning small blocks of memory repeatedly, so n^2 can be faster than the alternative using a map in cases for small N. I spent a lot of time fixing n^2 in blink, but there were some fun surprises: [1] For large N without a cache :nth-child matching would be very slow doing n^2 scans of the siblings to compute the index. On the other hand for small sibling counts it turned out the cache overhead was noticably worse than just doing an n^2. (See the end of the linked comment). This turns out to be true in a lot of surprising places, both where linear search beats constant time maps, and where n^2 is better than fancy algorithms to compensate. Memory latency and instruction timing is the gotcha of many fun algorithms in the real world. URI [1]: https://source.chromium.org/chromium/chromium/src/+/main:thi... hinkley wrote 4 hours 19 min ago: A lot of computations are really higher complexity order functions with stair steps at certain intervals based on hardware trying to pretend they are constant time. All operations cost the same amount until n doubles again and then itâs slower. If you zoom out toward infinity, the stair steps smooth out into a logarithmic curve. It becomes logarithmic in the former case and square root in the latter. Even dividing two numbers or doing a memory address lookup stops being C, which is part of why prime factoring worked for RSA for so long. If anyone had made clockless logic work you would see that adding 1 + 1 is in fact faster than adding 2^63 + 1. If you put enough data into a hash table the key length has to increase logarithmically to the table size in order to have distinct keys per record. Even Knuth points out that hash tables are really nlogn - something Iâm pretty sure my CS professors left out. In multiple classes. Man, did I get tired of hash tables, but I see now why they harped on them. Case on point, this article. kevincox wrote 9 hours 18 min ago: This is true. But unless you are sure that current and future inputs will always be small I find it is better to start with the algorithm that scales better. Then you can add a special case for small sizes if it turns up in a hot path. This is because performance is typically less important for the fast/small case and it is generally acceptable for processing twice as much to be twice (or slightly more than twice) as slow, but users are far more likely to hit and really burned by n^2 algorithms in things you thought would almost always be small and you never tested large enough sizes in testing to notice. I wrote more on this topic here URI [1]: https://kevincox.ca/2023/05/09/less-than-quadratic/ throwaway2037 wrote 19 hours 12 min ago: > where linear search beats constant time maps Can you give an example? You said lots of good things in your post, but I struggling to believe this one. Also, it would help to see some wall clock times or real world impact. crote wrote 12 hours 13 min ago: You've got to keep in mind that computers aren't the 1-instruction-at-a-time purely sequential machines anymore. Let's say you've got a linear array of bytes, and you want to see if it contains a specific value. What would a modern CPU need to execute? Well, we can actually compare 64 values at a time with _mm512_mask_cmp_epu8_mask! You still need a little bit of setup and a final "did any of them match" check, of course. Want to compare 512 values? You can probably do that in less than 10 clock cycles with modern machines Doing the same with a hash set? Better make sure that hash algorithm is fast. Sure it's O(1), but if calculating the hash takes 20 cycles it doesn't matter. hansvm wrote 18 hours 34 min ago: Pick any compiled language and test it. Pick an algorithm making heavy use of a small (<10, maybe up to a hundred elements) hashset, and try using a linear structure instead. The difference will be most apparent with complicated keys, but even strings of more than a few characters should work. Some example workloads include: 1. Tokenization (checking if a word is a keyword) 2. Interpretation (mapping an instruction name to its action) 3. ML (encoding low-cardinality string features in something like catboost) 4. JSON parsers (usually key count is low, so parse into a linear-scan hashmap rather than a general-purpose hashmap) Details vary in the exact workload, the hardware you're using, what other instructions you're mixing in, etc. It's a well-known phenomenon though, and when you're doing a microoptimization pass it's definitely something to consider. 2x speedups are common. 10x or more happen from time to time. It's similar to (but not _quite_ the same as) the reason real-world binary search uses linear scans for small element counts. When you go to really optimize the system, you'll also find that the linear scan solution is often more amenable to performance improvements from batching. As to how much it matters for your composite program? Even at a microoptimization level I think it's much more important to pay attention to memory access patterns. When we wrote our protobuf parser that's all we really had to care about to improve performance (33% less execution time for the entire workload, proto parsing being much better than that). You're much more likely to be able to write sane code that way (contrasted with focusing on instructions and whatnot first), and it's easier to layer CPU improvements on top of a good memory access pattern than to go the other way around. vlovich123 wrote 22 hours 57 min ago: I have an n^3 operation that's currently a huge bottleneck at only 10k elements. Not sure how to fix it. IshKebab wrote 5 min ago: I once looked into tree diffing algorithms (the literature is all about diffing XML even though it's really trees). The obvious dumb algorithm (which seems to be what everyone uses) is n^4. EdwardCoffin wrote 1 day ago: Bruce Dawson says: I like to call this Dawsonâs first law of computing: O(n^2) is the sweet spot of badly scaling algorithms: fast enough to make it into production, but slow enough to make things fall down once it gets there. URI [1]: https://bsky.app/profile/randomascii.bsky.social/post/3lk4c6... hinkley wrote 1 day ago: I made the âmistakeâ in an interview of equating two super-quadratic solutions in an interview. What I meant was what Dawson meant. It doesnât matter because theyâre both too ridiculous to even discuss. dieortin wrote 1 day ago: Theyâre too ridiculous⦠unless a more optimal solution does not exist hinkley wrote 18 hours 12 min ago: Absolutely not. If the cost of doing something goes above quadratic, you shouldn't do it at all. Because essentially every customer interaction costs you more than the one before. You will never be able to come up with ways to cover that cost faster than it ramps. You are digging a hole, filling it with cash and lighting it on fire. If you can't do something well you should consider not doing it at all. If you can only do it badly with no hope of ever correcting it, you should outsource it. patrick451 wrote 1 hour 50 min ago: There are two many obvious exceptions to even start taking this seriously. If we all followed this advice, we would never even multiply matrices. marcinzm wrote 6 hours 39 min ago: > no hope of ever correcting it That's a pretty bold assumption. Almost every startup that has succeeded was utterly unscalable at first in tons of technical and business ways. Then they fixed it as they scaled. Over-optimizing early has probably killed far more projects and companies than the opposite. hinkley wrote 4 hours 40 min ago: > Thatâs a pretty bold assumption. Thatâs not a bold assumption itâs the predicate for this entire sidebar. The commenter at the top said some things canât be done in quadratic time and have to be done anyway, and I took exception. >> unless a more optimal solution does not exist Dropping into the middle of a conversation and ignoring the context so you can treat the participants like they are confused or stupid is very bad manners. Iâm not grumpy at you Iâm grumpy that this is the eleventeenth time this has happened. > Almost every startup Almost every startup fails. Do you model your behavior on people who fail >90% of the time? Maybe you, and perhaps by extension we, need to reflect on that. > Then we fixed it as we scaled Yes, because you picked a problem that can be architected to run in reasonable time. You elected to do it later. You trusted that you could delay it and turned out to be right. >> unless a more optimal solution does not exist When the devs discover the entire premise is unsustainable or nobody knows how to make it sustainable after banging their heads against it, they quickly find someplace else to be and everyone wonders what went wrong. There was a table of ex employees who knew exactly what went wrong but it was impolitic to say. Donât want the VCs to wake up. Tainnor wrote 11 hours 28 min ago: Gaussian elimination (for square matrices) is O(n^3) arithmetic operations and it's one of the most important algorithms in any scientific domain. hinkley wrote 4 hours 26 min ago: Iâll allow that perhaps I should have said âcubicâ instead of âquadraticâ - there are much worse orders in the menagerie than n^3. But itâs a constraint we bang into over and over again. We use these systems because theyâre cheaper than humans, yes? People are still trying to shave off hundredths of the exponent in matrix multiplication for instance. It makes the front page of HN every time someone makes a âbreakthroughâ. crote wrote 13 hours 3 min ago: That only matters when the constants are nontrivial and N has a potential to get big. Not every app is a B2C product intending to grow to billions of users. If the costs start out as near-zero and are going to grow to still be negligible at 100% market share, who cares that it's _technically_ suboptimal? Sure, you could spend expensive developer-hours trying to find a better way of doing it, but YAGNI. hinkley wrote 4 hours 36 min ago: I just exited a B2B that discovered they invested in luxury features and the market tightened their belts by going with cheaper and simpler competitors. Their n wasnât really that high but they sure tried their damnedest to make it cubic complexity. âPowerâ and âflexibilityâ outnumbered, âstraightforwardâ and even ârobustâ but at least three to one in conversations. A lot of my favorite people saw there was no winning that conversation and noped out long before I did. The devs voted with their feet and the customers with their wallets. endgame wrote 13 hours 29 min ago: I feel this is too hardline and e.g. eliminates the useful things people do with SAT solvers. hinkley wrote 7 hours 12 min ago: The first SAT solver case that comes to mind is circuit layout, and then you have a k vs n problem. Because you donât SAT solve per chip, you SAT solve per model and then amortize that cost across the first couple yearsâ sales. And theyâre also âcheatingâ by copy pasting cores, which means the SAT problem is growing much more slowly than the number of gates per chip. Probably more like n^1/2 these days. If SAT solvers suddenly got inordinately more expensive youâd use a human because they used to do this but the solver was better/cheaper. Edit: checking my math, looks like in a 15 year period from around 2005 to 2020, AMD increased the number of cores by about 30x and the transistors per core by about 10x. IshKebab wrote 12 min ago: That's quite a contortion to avoid losing the argument! "Oh well my algorithm isn't really O(N^2) because I'm going to print N copies of the answer!" Absurd! delusional wrote 16 hours 33 min ago: All of modern Neural Network AI is based on GEMM which are O(n^2) algorithms. There are sub-cubic alternatives, but it's my understanding that the cache behavior of those variants mean they aren't practically faster when memory bound. n is only rarely related to "customers". As long as n doesn't grow, the asymptotic complexity doesn't actually matter. saagarjha wrote 10 hours 55 min ago: The GEMM is O(n^3) actually. Transformers are quadratic in the size of their context window. hinkley wrote 4 hours 34 min ago: I read that as a typo given the next sentence. Iâm on the fence about cubic time. I was mostly thinking of exponential and factorial problems. I think some very clever people can make cubic work despite my warnings. But most of us shouldnât. General advice is to be ignored by masters when appropriate. Thatâs also the story arc of about half of kung fu movies. Did chess solvers really progress much before there was a cubic approximation? Retric wrote 17 hours 34 min ago: Chess engines faced worse than quadratic scaling and came out the other side⦠Software operates in a crazy number of different domains with wildly different constraints. crabmusket wrote 15 hours 17 min ago: I believe hinkley was commenting on things that are quadratic in the number of users. It doesn't sound like a chess engine would have that property. tux3 wrote 12 hours 28 min ago: They did make it sound like almost anything would necessarily have n scale with new users. That assumption is already questionnable There's a bit of a "What Computational Complexity Taught Me About B2B SaaS" bias going. paulddraper wrote 1 day ago: The second law is that O(n * log n) is for practical intents and purposes O(n). sn9 wrote 22 hours 28 min ago: Skiena has a great table in his algorithms book mapping time complexity to hypothetical times for different input sizes. For n of 10^9, where lgn takes 0.03 us and n takes 1 s, nlgn takes 29.9 s and n^2 takes 31.7 years. hinkley wrote 1 day ago: But sometimes a big enough C can flip which solution helps you hit your margins. hansvm wrote 18 hours 49 min ago: In my mind, that's always been the point in dropping log factors. The algorithms are comparable enough that the actual implementation starts to matter, which is all we're really looking for in a Big-O analysis. EdwardCoffin wrote 1 day ago: To be clear though, that isn't his second law, at least as of two months ago, according to URI [1]: https://bsky.app/profile/randomascii.bsky.social/post/3l... brucedawson wrote 2 hours 6 min ago: Should it be my second law? URI [1]: https://bsky.app/profile/randomascii.bsky.social/post/... paulddraper wrote 22 hours 47 min ago: Yes, that isn't actually Dawson's second law. to11mtm wrote 1 day ago: Fair, but `n log n` definitely is the historical "good enough to actually sleep at night" in my head, every time I see it I think of the prof who taught my first CSC course and our data structures course due to how often it came up. Also, the wise statement that 'memory is fairly cheap compared to CPU for scaling'. It's insane to see how often folks would rather manually open and scan a 'static-on-deploy' 20-100MB Json file for each request vs just parsing it into structures in memory (where, for most cases, the in memory usage is a fraction of the json itself) and just caching the parsed structure for the length of the application. hinkley wrote 1 day ago: Not often but occasionally I will chose the nlogn algorithm which obviously has no bugs over the O(n) algorithm with no obvious bugs. Less brittleness is worth paying a few percent. Especially if it unmuddies the waters enough for someone to spot other accidental (time) complexity. refulgentis wrote 19 hours 34 min ago: Considerably more than a few percent, IMHO. :) But I also don't dabble in this area nearly enough to know whether there's years of tears and toil finding out repeatedly that O(n) is ~impossible to implement and verify :) | n | n log n | | 5 | 8.0472 | | 10 | 23.0259 | | 25 | 80.4719 | | 50 | 195.6012 | | 100 | 460.5170 | hinkley wrote 18 hours 17 min ago: This is magic thinking about how C, memory hierarchies, networking, and system calls work. SAI_Peregrinus wrote 1 day ago: I'd say the exception is when `n` is under about 10, and is counting some sort of hardware constrained thing (e.g. some operation over all CAN interfaces pesent on an OBDII connector can be O(n^(2)) since n will always be between 1 and 4). If you wouldn't have to physically replace hardware for `n` to increase, you really need to avoid n^2 operations. And even then consider them carefully, perhaps explicitly failing if `n` gets too big to allow for noticing rework is needed before new hardware hits the field. echelon wrote 1 day ago: > perhaps explicitly failing if `n` gets too big That's the problem. A lot of these quadratic time algorithms don't set limits. Even 'n!' is fine for small 'n'. Real production use cases don't have small 'n'. haiku2077 wrote 23 hours 14 min ago: I have an app that's been running an O n^2 algorithm in "production" (free open source app used by various communities) for about half a year now. It's been fine because "n" is "number of aircraft flying in this flight simulator" - and the simulator's engine starts to fail above around 2000 anyway. So even in the worst case it's still going to run within milliseconds. masklinn wrote 1 day ago: > Real production use cases don't have small 'n'. Real production use cases absolutely have small n. You don't hear about them, because it's very hard for them to cause issues. Unless the use case changes and now the n is not small anymore and nobody noticed the trap. lassejansen wrote 1 day ago: Or, phrased differently, if n has an upper limit, the algorithm is O(1). connicpu wrote 1 day ago: As long as you have tests that regularly exercise your algorithm at n=max where you would notice if they were exceptionally slow koala_man wrote 1 day ago: Good call. O(N^2) is the worst time complexity because it's fast enough to be instantaneous in all your testing, but slow enough to explode in prod. I've seen it several times before, and it's exactly what happened here. david422 wrote 1 day ago: We just had this exact problem. Tests ran great, production slowed to a crawl. hinkley wrote 4 hours 24 min ago: First big project I worked on a couple of us sped up the db initialization scripts so we could use a less trivial set of test data to stop this sort of shenanigans. Things like inserting the test data first and turning on constraints and possibly indexes afterward. bcrl wrote 18 hours 36 min ago: I was just helping out with the network at an event. Worked great in testing, but it failed in production due to unicast flooding the network core. Turns out that some of the PoE Ethernet switches had an insufficiently sized CAM for the deployment combined with STP topology changes reducing the effective size of the CAM by a factor of 10 on the larger switches. Gotta love when packet forwarding goes from O(1) to O(n) and O(n^2)! Debugging that in production is non-trivial as the needle is in such a large haystack of packets so as to be nearly impossible to find in the output of tcpdump and wireshark. The horror... The horror... parthdesai wrote 1 day ago: My rule of thumb for 80%-90% of the problems is, if you need complicated algorithm, it means your data model isn't right. Sure, you do need complicated algorithms for compilers, db internals, route planning et all, but all things considered, those are minority of the use cases. LtWorf wrote 20 hours 45 min ago: I wrote a funny algorithm to group together words that end the same way to write them once in my binary wordlist file, since there is an array that points to the start character and a \0 to end the word. My initial solution was O(n²) but it was too slow on a real wordlist so I had to come up with something better. In the end I just sort the list with quicksort, but revert the order of the words and then the groupable ones end up nearby each other. paulddraper wrote 1 day ago: This isn't knapsack. This is a dict lookup. anttihaapala wrote 1 day ago: This is not a complicated algorithm. A hash map (dictionary) or a hash set is how you would always do deduplication in Python, because it is easiest to write / least keystrokes anyway. That is not the case in C though, as it is much easier to use arrays and nested loops instead of hash maps. throwaway2037 wrote 19 hours 10 min ago: > That is not the case in C though, as it is much easier to use arrays and nested loops instead of hash maps. I am confused. There are plenty of open source, fast hash map impls in C. saagarjha wrote 10 hours 53 min ago: Yes, the problem is getting them into your project. treesknees wrote 1 day ago: Duplicate of URI [1]: https://news.ycombinator.com/item?id=44197061 mdaniel wrote 1 day ago: Since that one only has one comment, I'm pretty sure that means the HN front-page is luck of the draw and I wouldn't have bothered even commenting about the other one tomxor wrote 1 day ago: One of the many reasons I moved to self hosting. I use ZFS to backup every 15 minutes, ... could do it even more frequently but that seems a little pointless. Also moved away from Gitlab because it's so damn slow. mdaniel wrote 1 day ago: It for sure has an excruciatingly slow UI, but I haven't yet been able to stomach the Ruby magick enough to dig in and find out if it's all of GitLab that's slow, and thus their culture of who-cares just propagates to the UI, or it's literally just the web frontend that's molasses yet because so many folks interact with it over the web that's where the conclusion ends up I know their backend git proxy is written in golang, their runner agent is written in golang, it spawns CI jobs using containerd, written in golang, and they use postgresql and a redis-esque KV -- although for that part I do believe they're still using Sidekick (ruby) for doing job dispatch, so that one could very easily lolol back into not actioning tasks efficiently GitHub Actions sure does enjoy just sitting there twiddling its thumbs when I push "run job," and is also both Ruby and their own crazypants ajax-y web framework, so I don't think it's exactly the shining star of performance itself haroldp wrote 1 day ago: This was my thought too, but I figured I just didn't understand the problem. Why use git commands to backup when a file system copy seems like it would do? zfs snapshot takes less than a second on any size repo. zfs send transfers just the changes since the last backup, as fast as your network, more or less. tomxor wrote 21 hours 16 min ago: Yup, once you've used snapshots for backups once, doing any kind of filesystem level backup just seems absurd. I now use it as the basis for every piece of infrastructure I add that holds valuable data. The only place it doesn't really fit is distributed databases. glookler wrote 1 day ago: ZFS is great, getting off gitlab would also be great, what did you switch to? tomxor wrote 21 hours 20 min ago: Gitea, i can't recommend it enough. Lightening fast compared to the proprietary offerings, clean simple UI like an older Github, and super simple to self host. mdaniel wrote 20 hours 31 min ago: So long as you have an existing CI/CD story, or are willing to invest in head-to-heading them, to find one that fits your needs. Because both it and Forgejo's "we're deploying act, what could go wrong" give me the heebie-jeebies. And, aside from that, there are so many FLOSS ones they could have chosen that legitimately work making that decision extra opaque to me edflsafoiewq wrote 1 day ago: So they replaced a nested for loop for checking for duplicates with a set data structure. Surprised such a common thing was in git. SomaticPirate wrote 1 day ago: How was the flame graph created? (Not very familiar with C and the performance tools around it) landr0id wrote 1 day ago: You can also use [1] to make recording and viewing in the Firefox profiler easier. It will spin up a localhost server after the trace ends, the profiler uses the localhost server and nothing is shared with Firefox servers unless you explicitly choose to upload the data and create a permalink. URI [1]: https://github.com/mstange/samply plorkyeran wrote 1 day ago: [1] You record performance data with `perf`, then use the scripts there to turn it into a SVG. URI [1]: https://github.com/brendangregg/FlameGraph IshKebab wrote 1 day ago: I strongly recommend not using this. Instead use pprof - it has a MUCH better interactive flamegraph, plus other nice performance visualisations (e.g. a call graph): [1] go install github.com/google/pprof@latest pprof -http=: prof.out I normally collect the profiles with gperftools ( [2] ) and then just LD_PRELOAD=/usr/lib/libtcmalloc_and_profiler.so CPUPROFILE=prof.out I've been meaning to try Samply though. Not sure if it works with pprof. URI [1]: https://github.com/google/pprof URI [2]: https://github.com/gperftools/gperftools immortaljoe wrote 1 day ago: OP here. In this particular case, I used URI [1]: https://github.com/flamegraph-rs/flamegraph gre wrote 1 day ago: looks like the commit is here: URI [1]: https://github.com/git/git/commit/a52d459e72b890c192485002ec51... mortar wrote 1 day ago: Thanks, this helped me find the submission and related discussion thread - URI [1]: https://lore.kernel.org/git/20250401-488-generating-bundles-... hiddew wrote 1 day ago: "fixed it with an algorithmic change, reducing backup times exponentially" If the backup times were O(n^2), are they now O(n^2 / 2^n)? I would guess not. morepedantic wrote 15 hours 20 min ago: I was also looking for the exponential algorithm. wasabi991011 wrote 21 hours 59 min ago: I interpreted that as n->log(n) since log and exp are inverses. Also because I've often heard tha the quantum Fourier transform is an exponential speedup over the discrete Fourier transform, and there the scaling goes n^2->nlogn. sn9 wrote 22 hours 18 min ago: The algorithm complexity went down in the function they patched (6x improvement in their benchmark), but in the context of how they benefited with how they were using the algorithm the impact was much larger (improved to taking 1% of the time), which is plausibly exponential (and figuring out the actual complexity is neither relevant nor an economic use of time). ndriscoll wrote 9 hours 45 min ago: > figuring out the actual complexity is neither relevant nor an economic use of time The fix was replacing a nested loop with a map. Figuring out that this goes from O(n^2) to O(n) (modulo details like bucket count) is immediate if you know what the words mean and understand enough to identify the problem and make the fix in the first place. csnweb wrote 1 day ago: If you replace an n^2 algorithm with a log(n) lookup you get an exponential speed up. Although a hashmap lookup is usually O(1), which is even faster. ndriscoll wrote 9 hours 39 min ago: They're still using the map in a loop, so it'd be nlogn for a tree-based map or n for a hash map. ryao wrote 23 hours 19 min ago: That is not true unless n^C / e^n = log(n) where C is some constant, which it is not. The difference between log(n) and some polynomial is logarithmic, not exponential. wasabi991011 wrote 21 hours 54 min ago: It depends if you consider "speedup" to mean dividing the runtime or applying a function to the runtime. I.e. you are saying and f(n) speedup means T(n)/f(n), but others would say it means f(T(n)) or some variation of that. morepedantic wrote 15 hours 5 min ago: The man, or llm, used the mathematically imprecise definition of exponential in a sentence with a big-O notation. I don't think he's going to be writing entire arguments formally. csnweb wrote 22 hours 5 min ago: But if you happen to have n=2^c, then an algorithm with logarithmic complexity only needs c time. Thats why this is usually referred to as exponential speedup in complexity theory, just like from O(2^n) to O(n). More concretely if the first algorithm needs 1024 seconds, the second one will need only 10 seconds in both cases, so I think it makes sense. marcellus23 wrote 1 day ago: Meaningless and non-constructive pedantry. morepedantic wrote 15 hours 4 min ago: >pedantry I wasted 2 minutes of my life looking for the exponential reduction. So did many others. Now I'm wasting more of my life shit posting about it, but at least that's a conscious choice. msgodel wrote 1 day ago: I disagree. Misuse of the word "exponential" is a major pet peeve of mine. It's a particular case of the much more common "use mathematically precise phrasing to sound careful/precise" that you often find in less than honest writing. Here they are actually using it to refer to growth functions (which is rare for this error) and being honest (which is also rare IMO) but it's still wrong. They should have written about quadratic or quadratic vs linear. Regardless sloppy language leads to sloppy thought. sneak wrote 1 day ago: My personal pet peeve is when the term âexponentiallyâ is used to refer to a change between precisely two data points. Itâs a very specific subset of the one youâre describing. âTell me you donât know what youâre talking about without telling me you donât know what youâre talking about.â morepedantic wrote 15 hours 2 min ago: >My personal pet peeve Just be glad you have only one. keybored wrote 1 day ago: Sloppy writing is up orders of magnitude lately. 0cf8612b2e1e wrote 1 day ago: It will decimate readership. chrisweekly wrote 1 day ago: I'm not the OP you're responding to, but to be fair, in a sentence about big-O perf characteristics, which includes the word "algorithms", using "exponentially" in a colloquial non-technical sense is an absolutely terrible word choice. linguistbreaker wrote 1 day ago: Exponentially bad word choice even... since we're using that word however we want now? I don't think this is meaningless or non-constructive pedantry - we're a technical community and those are technical words. umanwizard wrote 1 day ago: This is not the precise mathematical definition of exponential, but rather the colloquial one, where it just means "a lot". morepedantic wrote 15 hours 18 min ago: >Ultimately, we traced the issue to a 15-year-old Git function with O(N²) complexity and fixed it with an algorithmic change, reducing backup times exponentially. No, not in the exact same sentence as a big-O. That's either author error, or an intentional troll. Either way it's egg on their faces. cvoss wrote 1 day ago: You shouldn't use a word that can carry a precise mathematical meaning in a sentence that literally uses mathematical notation in order to speak precisely and then expect readers not to interpret the word in the precise mathematical way. MyFedora wrote 11 hours 41 min ago: We simplify the big O notation in computer science. This is standard practice. rovr138 wrote 8 hours 21 min ago: Just drop the constants, it doesn't matter /s Production systems running and melting here... morepedantic wrote 15 hours 17 min ago: Especially when the colloquial meaning derives from the mathematical meaning. hskalin wrote 18 hours 25 min ago: I find the whole article rather poorly written. Most likely using an LLM. sneak wrote 1 day ago: âWords mean things.â If you canât agree with this, then you shouldnât be speaking or writing, IMO. Those who argue that words that mean different things are actually equivalent have no business dealing with language. morepedantic wrote 15 hours 8 min ago: I understood every word, phrase, and sentence you wrote. But I did not understand your point. Still, I got the meaning of your words, so presumably you're satisfied. IshKebab wrote 1 day ago: You should if you expect your readers to be normal humans who understand obvious context, and not pedantic HN readers who understand obvious context but delight in nit-picking it anyway. globular-toast wrote 14 hours 34 min ago: Ah yes because "normal humans" know what O(n^2) means but damnit they are going to use exponential wrong. morepedantic wrote 15 hours 14 min ago: >pedantic Who the fuck do you think is the intended audience for an article about an algorithm in `git bundle create`? I spent approximately two minutes of my life trying to figure out where the O(n^2) algorithm was being invoked in such a way that it influenced an exponential. Exponential was bolded in the same sentence as a big-O. 50/50 troll/author oversight. saagarjha wrote 10 hours 51 min ago: Maybe not 'morepedantic Dylan16807 wrote 1 day ago: You can, but it's not should. blharr wrote 1 day ago: I somewhat agree, but for lack of a better word, what would you use? Quadratically doesn't have the same punch ndriscoll wrote 10 hours 0 min ago: Quadratically doesn't have the same punch because it is actually exponentially less than exponentially. So doing it for extra punch (as opposed to not knowing the correct word) in a technical context would just be lying. It'd be like a paper saying they had a result with p less than one in a trillion for "extra punch" when they actually had p=0.1. globular-toast wrote 14 hours 31 min ago: Runtimes dropped precipitously. morepedantic wrote 15 hours 10 min ago: Algorithmic? Big-O? Polynomially? Linear improvement? O(n^2) to O(n)? Or if you want to be less mathematically precise: enormous improvement? Using exponential in this way in any context is a faux pas, because it's highly ambiguous, and requires context for clarification. But in this situation the context clearly resolved to the mathematically accurate definition, except it was used in the other way. bobbylarrybobby wrote 19 hours 8 min ago: âFrom quadratic to linearâ or â... to constantâ seems fine. bobbylarrybobby wrote 19 hours 8 min ago: âFrom quadratic to linearâ seems fine. jrochkind1 wrote 23 hours 30 min ago: If you just mean "a lot" in a non-technical sense, there are plenty of words available. enormously. immensely. tremendously. remarkably. incredibly. vastly. jjmarr wrote 1 day ago: "by a factor of `n`" also sounds impressive. remram wrote 1 day ago: "a lot" umanwizard wrote 1 day ago: âDramaticallyâ ? jeffbee wrote 1 day ago: Are there any reimplementations of git, by professional programmers using real tools? The source in question â object.c â is "banging rocks together" material. fHr wrote 5 hours 38 min ago: lmao gonzus wrote 13 hours 29 min ago: URI [1]: https://github.com/libgit2/libgit2 kgeist wrote 1 day ago: We use go-git in one of our Go projects that relies on Git for version control of its data. Vilian wrote 1 day ago: Git, but as it was intended to be used umanwizard wrote 1 day ago: Ignoring your inaccurate flamebait and answering the underlying question: there are several reimplementations of git, including "got" (Game of Trees) from the OpenBSD developers, jgit (reimplementation in Java), the Haskell git package, the gitoxide rust crate (and I assume several more half-finished Rust hobby projects), and probably others; that's just what I found with a cursory google. landr0id wrote 1 day ago: URI [1]: https://github.com/GitoxideLabs/gitoxide judofyr wrote 1 day ago: See also: [1] Quadratic complexity sits in an awkward sweet spot: Fast enough for medium-sized n to pass first QA, but doomed to fail eventually as n grows. URI [1]: https://www.tumblr.com/accidentallyquadratic vjerancrnjak wrote 1 day ago: This particular change was not accidental. It was announced as quadratic. DIR <- back to front page