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    <title>Chameth.com - posts like apple-google-aligned-incentives, over-the-top-optimisations-in-nim</title>
    <subtitle>Personal homepage of Chris Smith</subtitle>
    <link href="https://chameth.com/feeds/posts/like/apple-google-aligned-incentives,over-the-top-optimisations-in-nim/" rel="self"/>
    <link href="https://chameth.com/"/>
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    <updated>2025-07-16T00:00:00Z</updated>
    <id>https://chameth.com/</id>
    <author>
        <name>Chris Smith</name>
    </author>
    <entry>
        <title>How tech companies failed to build the Star Trek computer</title>
        <link href="https://chameth.com/how-tech-companies-failed-to-build-the-star-trek-computer/"/>
        <updated>2025-07-16T00:00:00Z</updated>
        <id>https://chameth.com/how-tech-companies-failed-to-build-the-star-trek-computer/</id>
        <content xml:lang="en" type="html">&lt;figure class=&#34;image right&#34;&gt;
  &lt;picture&gt;
      &lt;source srcset=&#34;https://chameth.com/how-tech-companies-failed-to-build-the-star-trek-computer/enterprise-computer-room.avif&#34; type=&#34;image/avif&#34;/&gt;
      &lt;source srcset=&#34;https://chameth.com/how-tech-companies-failed-to-build-the-star-trek-computer/enterprise-computer-room.webp&#34; type=&#34;image/webp&#34;/&gt;
      &lt;img src=&#34;https://chameth.com/how-tech-companies-failed-to-build-the-star-trek-computer/enterprise-computer-room.jpg&#34; alt=&#34;Still from an episode of Star Trek: The Next Generation, with various characters stood around in a computer core room&#34; loading=&#34;lazy&#34; width=&#34;500&#34; height=&#34;376&#34;/&gt;
  &lt;/picture&gt;
  &lt;figcaption&gt;&lt;p&gt;A computer core room on the Enterprise-D&lt;/p&gt;
&lt;/figcaption&gt;
&lt;/figure&gt;
&lt;p&gt;In most Star Trek series, the ship or station computer is ever-present in the
background, waiting to be called on by the main characters&lt;sup id=&#34;fnref:1&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:1&#34; role=&#34;doc-noteref&#34;&gt;1&lt;/a&gt;&lt;/sup&gt;. It nearly
always does exactly the right thing, and there’s little limit to the functions
it can perform. Take this mundane example from DS9:&lt;/p&gt;
&lt;blockquote&gt;
&lt;p&gt;KIRA: Computer, establish link with the Bajoran Medical Index for the Northwestern District. &lt;br/&gt;
COMPUTER: Link established. &lt;br/&gt;
KIRA: Access all information on Doctor Surmak Ren. &lt;br/&gt;
COMPUTER: There are no records matching that name. &lt;br/&gt;
KIRA: Try the Northeastern District, same search. &lt;br/&gt;
COMPUTER: Doctor Surmak Ren, currently serving as Chief Administrator of the Ilvian Medical Complex. &lt;br/&gt;
KIRA: Computer, open a channel to the Ilvian Medical Complex. Administrator’s office.&lt;/p&gt;
&lt;/blockquote&gt;
&lt;p&gt;The computer is doing some kind of networking to a database only identified by
name. It does a search and summarises the lack of results. It then repeats the
process with another database, and succinctly announces the results. Finally,
it opens a communication channel to a specific room in a facility, based only
on its name.&lt;/p&gt;
&lt;p&gt;This whole interaction is remarkably boring&lt;sup id=&#34;fnref:2&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:2&#34; role=&#34;doc-noteref&#34;&gt;2&lt;/a&gt;&lt;/sup&gt;. Kira doesn’t have to know
any URLs or API endpoints, or what protocol she wants to use. She doesn’t have
to open a specific app and then login and then try the query again. She just
says what she wants and the computer does it.&lt;/p&gt;
&lt;p&gt;It seems like this should be one of the most easily obtainable bits of sci-fi
wizardry with our current technology. We have multiple massive companies
throwing lots of money at digital assistants, LLMs that are improving at an
insane rate, but we’re somehow not even close to the usability or usefulness of
the Trek computers. What gives?&lt;/p&gt;
&lt;h3 id=&#34;boring-is-well-boring&#34;&gt;Boring is, well, boring.&lt;/h3&gt;
&lt;p&gt;Larry Page once said something that might help explain it:&lt;/p&gt;
&lt;blockquote&gt;
&lt;p&gt;The Star Trek computer doesn’t seem that interesting. They ask it random
questions, it thinks for a while. I think we can do better than that.&lt;/p&gt;
&lt;/blockquote&gt;
&lt;p&gt;This is the same Larry Page that founded Google, whose mission statement is
“to organize the world’s information and make it universally accessible and
useful”. Of all people, surely he should find an omnipresent computer that can
answer ‘random questions’ interesting?! It seems like it should be the epitome
of Google’s mission!&lt;/p&gt;
&lt;!--more--&gt;
&lt;p&gt;Google’s “better than that” seems to have been to stuff LLMs into every product
they can, even when you don’t want them there. Even when they’re worse than the
normal content they displace. These things look &lt;em&gt;exciting&lt;/em&gt; when they’re part of
a scripted demo at Google I/O, but they fall flat and just get in the way when
they’re exposed to the reality of day-to-day use.&lt;/p&gt;
&lt;p&gt;The Star Trek computer is the opposite: it isn’t snazzy, but it is genuinely
useful. That means it’s not an attractive target for the company execs who want
marketing opportunities, and it’s not appealing for engineers who need to
demonstrate “impact”. But even if Google did try to make the Trek computer,
there are other problems…&lt;/p&gt;
&lt;h3 id=&#34;assistants-need-to-be-free&#34;&gt;Assistants need to be free&lt;/h3&gt;
&lt;p&gt;A significant amount of tech companies’ business models currently revolves
around trapping users in walled gardens. They want you using &lt;em&gt;their&lt;/em&gt; ecosystem;
that way they get more data from you, and you’re more likely to spend more money
on their other offerings that work together. There’s barely any incentive to
allow any kind of interoperability with other platforms outside carefully
contracted integrations.&lt;/p&gt;
&lt;p&gt;I remember trying to help a family member move their photos from iCloud to
Google Photos. At one point they turned around and said, exasperated, “why is
this so hard? Aren’t they both in the cloud?!”. It’s easy to dismiss that as
someone who hasn’t quite grasped the fundamental idea that “the cloud” is just
someone else’s computers, but that’s not the whole story. There’s no reason why
there shouldn’t be a quick and easy transfer: both services already allow
uploading and downloading, there’s just no incentive for the companies involved
to make it so&lt;sup id=&#34;fnref:3&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:3&#34; role=&#34;doc-noteref&#34;&gt;3&lt;/a&gt;&lt;/sup&gt;.&lt;/p&gt;
&lt;p&gt;These kinds of misaligned incentives and walled garden business models cause
even more problems when it comes to digital assistants. Siri is basically never
going to be able to interact with, say, your Google Drive; &lt;del&gt;Bard&lt;/del&gt; Gemini
is never going to be able to send a message via iMessage. Even when there are
appropriately blessed interactions, they’re so clunky. Can you imagine Captain
Picard saying “Computer, ask the turbolift skill to take me to deck 5”?&lt;/p&gt;
&lt;h3 id=&#34;someone-elses-computer&#34;&gt;Someone else’s computer&lt;/h3&gt;
&lt;p&gt;Software issues aside, there’s still a key difference between the Star Trek
computers and our current batch of digital assistants: where they run. The
Trek computers are all housed within the ship or station they serve; they can
connect elsewhere to gather information, but they run entirely independently.
If they go wrong, a local engineer can go in and fix things. While some of our
assistants may have physical hardware in your home, they don’t work without
a vast cloud apparatus behind them. If your Internet connection fails, they
become paperweights. If the company running them decide to remove some
functionality you depend on, you have no recourse.&lt;/p&gt;
&lt;p&gt;That kind of helplessness isn’t limited to assistants, either. There’s a rapidly
growing trend of being unable to modify or repair hardware you fully own and
control. Part of this is just that they’re becoming more complex: it’s a lot
harder to replace a microchip than a gear, but companies are also going out
of their way to make it more difficult for users through draconian DRM
regimes&lt;sup id=&#34;fnref:4&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:4&#34; role=&#34;doc-noteref&#34;&gt;4&lt;/a&gt;&lt;/sup&gt; and aggressive intellectual property enforcement. If the US Navy
can’t repair their own equipment because a corporation says so, what hope do
consumers have?&lt;/p&gt;
&lt;p&gt;We’re approaching a point where you don’t actually own anything. Software
is cloud and subscription based, hardware is unrepairable. Even cars can
be remotely updated and have features added or removed. The Federation wouldn’t
allow a third party control over their ships&lt;sup id=&#34;fnref:5&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:5&#34; role=&#34;doc-noteref&#34;&gt;5&lt;/a&gt;&lt;/sup&gt;, so why are we so happy to
put up with it in everything we consume?&lt;/p&gt;
&lt;h3 id=&#34;a-small-ray-of-hope&#34;&gt;A small ray of hope?&lt;/h3&gt;
&lt;p&gt;The most promising way of tackling all of these problems is through legislation.
The EU’s &lt;a href=&#34;https://digital-markets-act.ec.europa.eu/index_en&#34;&gt;Digital Market Act&lt;/a&gt;
is an attempt to force ‘gatekeepers’ like Google, Apple and Meta, to allow
third-party access to their services. It seems like a pretty reasonable
approach, but the tech companies are unsurprisingly resisting it. Apple in
particular have gone out of their way to refuse to comply, and when forced to
do so have limited the functionality to people in Europe.
Still, the DMA is a promising start, and if similar legislation is introduced
(and robustly enforced) elsewhere it might start forcing companies to behave a
bit better.&lt;/p&gt;
&lt;p&gt;There are also smaller companies that actually do the right thing.
&lt;a href=&#34;https://frame.work/gb/en&#34;&gt;Framework&lt;/a&gt; make laptops that are user-serviceable;
&lt;a href=&#34;https://www.fairphone.com/&#34;&gt;Fairphone&lt;/a&gt; do the same for mobile phones. Smaller
software companies provide useful, open APIs. The average person on the street
will probably have never heard of these, unfortunately, but they do still
exist. Maybe as the bigger tech companies tighten the screws more, people will
turn to alternatives like this? Or maybe we’ll just keep accepting that our
computers work for everyone but us?&lt;/p&gt;
&lt;div class=&#34;footnotes&#34; role=&#34;doc-endnotes&#34;&gt;
&lt;hr/&gt;
&lt;ol&gt;
&lt;li id=&#34;fn:1&#34;&gt;
&lt;p&gt;Unless, of course, the computer is playing the role of the episode’s
MacGuffin and has contracted space-computer-COVID or something, then it’s a lot
less in-the-background. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:1&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:2&#34;&gt;
&lt;p&gt;It’s almost like it only exists to move the plot along. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:2&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:3&#34;&gt;
&lt;p&gt;You can generally export your data, thanks to a combination of legislation
and efforts like Google’s “Data Liberation Front”, but I’ve never seen an export
format that could then just be imported into an equivalent commercial product. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:3&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:4&#34;&gt;
&lt;p&gt;Oh, you’ve changed the screen on your iPhone? Better hope it can do the
secret handshake with the Apple hardware. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:4&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:5&#34;&gt;
&lt;p&gt;I think there might actually have been an episode where that did in fact
happen. We’ll just ignore that as a plot contrivance. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:5&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
</content>
    </entry>
    <entry>
        <title>Apple, Google and aligned incentives</title>
        <link href="https://chameth.com/apple-google-aligned-incentives/"/>
        <updated>2020-10-17T00:00:00Z</updated>
        <id>https://chameth.com/apple-google-aligned-incentives/</id>
        <content xml:lang="en" type="html">&lt;figure class=&#34;image right&#34;&gt;
  &lt;picture&gt;
      &lt;source srcset=&#34;https://chameth.com/apple-google-aligned-incentives/htc-dream.avif&#34; type=&#34;image/avif&#34;/&gt;
      &lt;source srcset=&#34;https://chameth.com/apple-google-aligned-incentives/htc-dream.webp&#34; type=&#34;image/webp&#34;/&gt;
      &lt;img src=&#34;https://chameth.com/apple-google-aligned-incentives/htc-dream.jpg&#34; alt=&#34;White HTC Dream mobile phone&#34; loading=&#34;lazy&#34; width=&#34;300&#34; height=&#34;225&#34;/&gt;
  &lt;/picture&gt;
  &lt;figcaption&gt;&lt;p&gt;The HTC Dream, the first phone released running Android.&lt;/p&gt;
&lt;/figcaption&gt;
&lt;/figure&gt;
&lt;p&gt;For the past decade I’ve exclusively used Android phones. I got the HTC Dream (aka the T-Mobile G1)
shortly after it came out, and dutifully upgraded every 1-2 years. In that timespan I used Android
as the basis for my Master’s Thesis, took a job on the Android team at Google, and eventually
became a contractor specialising in Android app development. So when I switched to using an iPhone
earlier this year a few people were surprised&lt;sup id=&#34;fnref:1&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:1&#34; role=&#34;doc-noteref&#34;&gt;1&lt;/a&gt;&lt;/sup&gt;.&lt;/p&gt;
&lt;h3 id=&#34;the-good-old-days&#34;&gt;The good old days&lt;/h3&gt;
&lt;p&gt;When Android was announced in 2007 – alongside the formation of the Open Handset Alliance – it
was positioned as a bastion of openness: it would be built on open standards and the operating
system would be open source. At the time iPhones were strongly coupled to iTunes and Apple was
exercising strict control over what app developers could do.&lt;/p&gt;
&lt;!--more--&gt;
&lt;p&gt;When the HTC Dream was released it lived up to expectations. You could write apps for it without
shelling out for a Mac! You could get root access, and it was running Linux under the hood! A
whole ecosystem of custom firmwares and bootloaders started to appear, thanks to the open source
nature of the OS. It shipped with some Google apps, but they were just normal apps that served
as examples of what could be done.&lt;/p&gt;
&lt;p&gt;After the Dream came a line of Nexus devices. These were Android’s flagship devices, designed to
show off what a good Android phone should look like. Both the hardware and software releases
tended to feature interesting, useful upgrades. Some of the original open source apps were
replaced with closed source, Google proprietary ones, but that was OK - the open source
versions lived on in the open source project as examples of what you &lt;em&gt;could&lt;/em&gt; do. The devices
allowed flashing custom firmware, and the OS source was always released… eventually.&lt;/p&gt;
&lt;h3 id=&#34;the-downfall&#34;&gt;The downfall&lt;/h3&gt;
&lt;figure class=&#34;image left&#34;&gt;
  &lt;picture&gt;
      &lt;source srcset=&#34;https://chameth.com/apple-google-aligned-incentives/pixels.avif&#34; type=&#34;image/avif&#34;/&gt;
      &lt;source srcset=&#34;https://chameth.com/apple-google-aligned-incentives/pixels.webp&#34; type=&#34;image/webp&#34;/&gt;
      &lt;img src=&#34;https://chameth.com/apple-google-aligned-incentives/pixels.jpg&#34; alt=&#34;Pixel and Pixel XL phones&#34; loading=&#34;lazy&#34; width=&#34;400&#34; height=&#34;363&#34;/&gt;
  &lt;/picture&gt;
  &lt;figcaption&gt;&lt;p&gt;The Pixel and Pixel XL&lt;/p&gt;
&lt;/figcaption&gt;
&lt;/figure&gt;
&lt;p&gt;Over time, Android has got less and less free. The Nexus line of phones gave way to the Pixel
range, which got rid of the clearly demarcated border where Android ended and Google began.
&lt;a href=&#34;https://www.android.com/android-11/&#34;&gt;The Android 11 highlights&lt;/a&gt; list is dotted with sections
that say “On Pixel devices…”, and every single one is a software feature that could be
implemented on any device, but Google have decided to keep it proprietary instead of releasing
it as part of the open source platform.&lt;/p&gt;
&lt;p&gt;At the same time more and more functionality has been added to Google Play Services. This was
originally a shared location for Google specific services - in 2012 it merely handled some
Google+ functionality and dealing with OAuth for Google accounts. These days it contains a
huge swathe of Google services, as well as platform functionality such as push notifications,
barcode scanning, geolocation, and so on. Google Play Services isn’t part of the Android
Open Source Project, and is only available under license from Google. You can’t really have
a device without these functions, so as a manufacturer you have the choice between agreeing
to whatever terms Google requires&lt;sup id=&#34;fnref:2&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:2&#34; role=&#34;doc-noteref&#34;&gt;2&lt;/a&gt;&lt;/sup&gt; or spending an awful lot of development time creating an
alternative.&lt;/p&gt;
&lt;p&gt;While these are fairly abstract arguments about what a free platform should look like,
during the same period there has been a marked restriction in how you can actually use
Android devices – both as an end-user and as a developer. iOS has always had very stark
restrictions on what apps can do in the background; Android started its life allowing
pretty much anything, like any good general purpose computing device. This inevitably
lead to lots of apps doing lots of things that ranged from stupid to mildly suboptimal,
creating a &lt;a href=&#34;https://en.wikipedia.org/wiki/Tragedy_of_the_commons&#34;&gt;tragedy of the commons&lt;/a&gt;
amongst apps. The victim was the phone’s battery life, and Google’s solution was a
progressive series of restrictions on what apps can do and when. This includes limits
on when push notifications are delivered to a device, how frequently apps can wake up,
and so forth. Some of these can be bypassed by the end-user, but not all, and the
process is fairly cumbersome.&lt;/p&gt;
&lt;h3 id=&#34;aligned-incentives&#34;&gt;Aligned incentives&lt;/h3&gt;
&lt;p&gt;From my point of view, Android and iOS are now pretty much in a similar place.
They’re not general purpose computers, but
&lt;a href=&#34;https://daringfireball.net/linked/2020/08/14/orland-epic-game-consoles&#34;&gt;app consoles&lt;/a&gt;:
much like games consoles they consist of hardware and software that the user lacks
control over but accepts in order to access the library of apps/games.&lt;/p&gt;
&lt;p&gt;Given there’s no clear winner between them in terms of hardware and software, my
decision came down to a more holistic question: how aligned are their
incentives to my own? Apple is a product company: they make their money by
producing shiny things that people want to purchase; Google is an advertising
company: they make their money by using my personal information to show me
targeted adverts.&lt;/p&gt;
&lt;p&gt;For Google, Android was originally a strategic move to ensure that
Apple couldn’t dominate the mobile web, and by extension the revenue from ads.
As a company, there’s nothing to really push them forward in any particular
direction other than one that facilitates advertising. Of course, Google employs
tonnes of good people who want to do good things which counterbalances this, but
I’d still prefer to deal with a company that has an intrinsic motivation to
do things I want them to do, rather than one forced to by regulation, custom,
or the good intent of their employees.&lt;/p&gt;
&lt;p&gt;So the decision became obvious: if I have no strong opinions about the software
and hardware, Apple is the clear winner because their incentives are a lot
better aligned to mine.&lt;/p&gt;
&lt;hr/&gt;
&lt;h3 id=&#34;image-credits&#34;&gt;Image credits&lt;/h3&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Photo&lt;/th&gt;
&lt;th&gt;Creator&lt;/th&gt;
&lt;th&gt;Licence&lt;/th&gt;
&lt;th&gt;Source&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;HTC Dream&lt;/td&gt;
&lt;td&gt;Akela NDE&lt;/td&gt;
&lt;td&gt;CC BY-SA 3.0&lt;/td&gt;
&lt;td&gt;&lt;a href=&#34;https://commons.wikimedia.org/w/index.php?curid=6680413&#34;&gt;Wikimedia&lt;/a&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Pixel and Pixel XL&lt;/td&gt;
&lt;td&gt;Maurizio Pesce from Milan, Italia&lt;/td&gt;
&lt;td&gt;CC BY 2.0&lt;/td&gt;
&lt;td&gt;&lt;a href=&#34;https://commons.wikimedia.org/w/index.php?curid=52110138&#34;&gt;Wikimedia&lt;/a&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;div class=&#34;footnotes&#34; role=&#34;doc-endnotes&#34;&gt;
&lt;hr/&gt;
&lt;ol&gt;
&lt;li id=&#34;fn:1&#34;&gt;
&lt;p&gt;Or, at least, politely feigned surprise. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:1&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:2&#34;&gt;
&lt;p&gt;And Google’s terms were particularly onerous: as well as requiring Chrome and Google
Search to be preinstalled, they prevented manufacturers from selling any devices
powered by alternative versions of Android - e.g., Samsung wouldn’t be allowed to
sell a refrigerator that ran Amazon’s FireOS. The European Union handed Google a
$5,000,000,000 fine for this anti-competitive behaviour, which Google are still in
the process of contesting. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:2&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
</content>
    </entry>
    <entry>
        <title>Over-the-top optimisations with Nim</title>
        <link href="https://chameth.com/over-the-top-optimisations-in-nim/"/>
        <updated>2018-12-09T00:00:00Z</updated>
        <id>https://chameth.com/over-the-top-optimisations-in-nim/</id>
        <content xml:lang="en" type="html">&lt;figure class=&#34;image right&#34;&gt;
  &lt;picture&gt;
      &lt;source srcset=&#34;https://chameth.com/over-the-top-optimisations-in-nim/advent-of-code.avif&#34; type=&#34;image/avif&#34;/&gt;
      &lt;source srcset=&#34;https://chameth.com/over-the-top-optimisations-in-nim/advent-of-code.webp&#34; type=&#34;image/webp&#34;/&gt;
      &lt;img src=&#34;https://chameth.com/over-the-top-optimisations-in-nim/advent-of-code.png&#34; alt=&#34;Christmas Tree from Advent of Code 2005&#34; loading=&#34;lazy&#34; width=&#34;483&#34; height=&#34;518&#34;/&gt;
  &lt;/picture&gt;
  &lt;figcaption&gt;&lt;p&gt;Christmas Tree from Advent of Code 2005&lt;/p&gt;
&lt;/figcaption&gt;
&lt;/figure&gt;
&lt;p&gt;For the past few years I’ve been taking part in
&lt;a href=&#34;https://twitter.com/ericwastl&#34;&gt;Eric Wastl’s&lt;/a&gt;
&lt;a href=&#34;https://adventofcode.com/&#34;&gt;Advent of Code&lt;/a&gt;, a coding challenge that provides
a 2-part problem each day from the 1st of December through to Christmas Day.
The puzzles are always interesting — especially as they get progressively
harder — and there’s an awesome community of folks that share their solutions
in a huge variety of languages.&lt;/p&gt;
&lt;p&gt;To up the ante somewhat, &lt;a href=&#34;https://dataforce.org.uk/&#34;&gt;Shane&lt;/a&gt; and I usually
have a little informal competition to see who can write the most performant
code. This year, though, Shane went massively overboard and wrote an entire
&lt;a href=&#34;https://blog.dataforce.org.uk/2018/08/advent-of-code-benchmarking/&#34;&gt;benchmarking suite and webapp&lt;/a&gt;
to measure our performance, which I took as an invitation and personal
challenge to try to beat him every single day.&lt;/p&gt;
&lt;p&gt;For the past three years I’d used Python exclusively, as its vast standard
library and awesome syntax lead to quick and elegant solutions. Unfortunately
it stands no chance, at least on the earlier puzzles, of beating the speed
of Shane’s preferred language of PHP. For a while I consoled myself with the
notion that once the challenges get more complicated I’d be in with a shot,
but after the third or fourth time that Shane’s solution finished before
the Python interpreter even started&lt;sup id=&#34;fnref:1&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:1&#34; role=&#34;doc-noteref&#34;&gt;1&lt;/a&gt;&lt;/sup&gt; I decided I’d have to jump ship. I
started using Nim.&lt;/p&gt;
&lt;!--more--&gt;
&lt;h3 id=&#34;introducing-nim&#34;&gt;Introducing Nim&lt;/h3&gt;
&lt;p&gt;&lt;a href=&#34;https://nim-lang.org/&#34;&gt;Nim&lt;/a&gt;, formerly Nimrod, is a compiled language that
takes a lot of cues from Python. It has a very nice and familiar syntax,
a reasonable standard library, and it’s &lt;em&gt;fast&lt;/em&gt;. I’d thought about learning
it before but didn’t really have anything suitable to use it on, until now.
The code I used for my day one part one answer looks like this in Nim:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-kn&#34;&gt;import&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;math&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;sequtils&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;strutils&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-n&#34;&gt;echo&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;readFile&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-s&#34;&gt;&amp;#34;data/01.txt&amp;#34;&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;).&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;strip&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;splitLines&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;map&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;parseInt&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;).&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;sum&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;It’s a one liner that Python would be proud of. The difference with Nim,
though, is that this compiles down to C, and from there you get all
the benefits of an optimising C compiler and linker. You end up with
a blazingly fast stand-alone binary.&lt;/p&gt;
&lt;h3 id=&#34;losing-my-marbles&#34;&gt;Losing my marbles&lt;/h3&gt;
&lt;p&gt;&lt;a href=&#34;https://adventofcode.com/2018/day/9&#34;&gt;Day 9&lt;/a&gt; of this year’s Advent of
Code proved interesting to optimise, and I’m going to walk through some
of the steps I took and their impact. I’m in no way a Nim expert and
this is for a program that will be run once and then thrown away, so
please don’t take this too much to heart.&lt;/p&gt;
&lt;p&gt;Day 9 presents a marble game played by Santa’s elves, whereby marbles
with increasing values are added to a circle according to certain
rules; every 23rd marble is special and the elf playing it gets to
keep that one and also pick up a marble a certain number of places
away. The winner is the one with the highest marble value at the end.
It doesn’t sound like a particularly thrilling game, but as far as
I can tell there’s no way to easily predict the winner without
simulating it step-by-step so it makes for an interesting problem.&lt;/p&gt;
&lt;h3 id=&#34;naive-solution-over-10-minutes&#34;&gt;Naive solution: over 10 minutes&lt;/h3&gt;
&lt;p&gt;My puzzle input called for a game with 72,104 marbles. My initial approach was
to use a sequence (similar to a list) to store the values of the marbles as
they’re added to the circle. This got an answer for part 1 in a about 10
seconds and put me at number 124 on the global leaderboard for fastest
completion. Unfortunately, when part 2 was revealed it asked me to calculate
the result if there were 7,210,400 marbles in play.&lt;/p&gt;
&lt;p&gt;Obviously a puzzle 100x larger would take at least 100x longer to run, and
almost certainly a lot more than that. There isn’t a way to calculate the
advance stages more quickly, so the only thing to be done is to make it
run a lot faster. Seven million iterations isn’t really &lt;em&gt;that&lt;/em&gt; much of a
burden for a modern CPU: for the code to be running this slowly the
execution time of some of the operations must be scaling with the number
of marbles. A quick look through the documentation reveals:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;proc del[T](x: var seq[T]; i: Natural) {...}
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;deletes the item at index i by putting x[high(x)] into position i.
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;This is an O(1) operation.
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;proc delete[T](x: var seq[T]; i: Natural) {...}
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;deletes the item at index i by moving x[i+1..] by one position.
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;This is an O(n) operation.
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;Because we have to delete a marble at an arbitrary point and maintain the
ordering of the others, I was using the &lt;code&gt;delete()&lt;/code&gt; proc which has an O(n)
runtime. The other potentially costly operation is inserting a new marble;
the documentation doesn’t mention the runtime but all of the nim docs have
a direct link to the source code, and we can
&lt;a href=&#34;https://github.com/nim-lang/Nim/blob/72e15ff739cc73fbf6e3090756d3f9cb3d5af2fa/lib/system.nim#L1561&#34;&gt;see that inserting an element requires iterating over all the elements after it,&lt;/a&gt;
so it’s also O(n) in the worse case.&lt;/p&gt;
&lt;h3 id=&#34;doublylinkedlists-500ms&#34;&gt;DoublyLinkedLists: ~500ms&lt;/h3&gt;
&lt;p&gt;When you need performant inserts and deletes in a list, the go-to solution
is a linked list. Because nodes store references to their neighbours
(instead of being stored consecutively in an array or list), delete and
insert operations are O(1): you simply need to change a few pointers. Nim’s
&lt;a href=&#34;https://nim-lang.org/docs/lists.html&#34;&gt;lists package&lt;/a&gt; provides a
convenient &lt;code&gt;DoublyLinkedList&lt;/code&gt; that I went ahead and used.&lt;/p&gt;
&lt;p&gt;Instead of using the old &lt;code&gt;insert&lt;/code&gt; and &lt;code&gt;delete&lt;/code&gt; methods I now had my own
which simply manipulate the nodes’ previous and next pointers:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;func&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;insertAfter&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;DoublyLinkedNode&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;[&lt;/span&gt;&lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;]&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-kd&#34;&gt;var&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newDoublyLinkedNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt; &lt;span class=&#34;chroma-k&#34;&gt;func&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;remove&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;DoublyLinkedNode&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;[&lt;/span&gt;&lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;]&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;This implementation brought the runtime down to a respectable 500ms,
which handily beat Shane’s PHP implementation. It was still an order of
magnitude longer than any of my other solutions, though, so I wasn’t
happy yet.&lt;/p&gt;
&lt;h3 id=&#34;reduced-imports-470ms&#34;&gt;Reduced imports: ~470ms&lt;/h3&gt;
&lt;p&gt;One thing I was conscious of from trying to make Python performant was how
the number of imports can pile on to startup time. I had a couple of unused
imports that were easy to shed, and I also decided to implement my own
linked list in favour of nim’s &lt;code&gt;lists&lt;/code&gt; module. All this involved was
defining a type and then replacing my usages of &lt;code&gt;DoublyLinkedNode[int]&lt;/code&gt;
with my new &lt;code&gt;Marble&lt;/code&gt;.&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;type&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;ref&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;object&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;        &lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;        &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;These few changes didn’t have a huge impact, but I was clutching at
straws and every 30ms was a small victory.&lt;/p&gt;
&lt;h3 id=&#34;inlining-methods-and-small-optimisations-420ms&#34;&gt;Inlining methods and small optimisations: ~420ms&lt;/h3&gt;
&lt;p&gt;Thinking the code was about as fast as I was going to get it, I made
a final pass to see if there were any little tweaks I could make.
First off, I added the &lt;code&gt;inline&lt;/code&gt; pragma to my insert and remove methods,
to hint to the C compiler that they should be inlined. I was concerned
that the overhead of calling a function seven million times would add up,
and inlining the fairly simple operation seems reasonable. It’s entirely
possible the C compiler was already doing this (they’re pretty clever),
but making the hint explicit in Nim is really easy so there’s nothing to lose:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;func&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;insertAfter&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt; &lt;span class=&#34;chroma-p&#34;&gt;{.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;inline&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.}&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-kd&#34;&gt;var&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;new&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;func&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;remove&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt; &lt;span class=&#34;chroma-p&#34;&gt;{.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;inline&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.}&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;I also made some small algorithmic tweaks. These are usually the bread
and butter of optimisations but for this problem there were only a couple
I could see:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;We only care about the current player every 23rd marble, so instead
of tracking the player each turn we can just calculate a 23 player
jump when needed&lt;/li&gt;
&lt;li&gt;Instead of testing whether the current marble is divisible by 23,
which is potentially non-trivial for large numbers, we can use a
separate variable that just counts down from 23 and gets reset&lt;/li&gt;
&lt;li&gt;Instead of calculating the boundary condition (&lt;code&gt;100 * marbles&lt;/code&gt;) whenever
it’s used, we can put this in a variable and calculate it once up-front.
(The C compiler probably handled this for us anyway)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;These combination of tweaks saved another 50ms, and it seemed like there
wasn’t a whole lot left that could possibly change.&lt;/p&gt;
&lt;h3 id=&#34;non-reference-counted-objects-180ms&#34;&gt;Non-reference counted objects: ~180ms&lt;/h3&gt;
&lt;p&gt;While I was pondering further improvements, Shane mentioned that he managed
to make PHP’s garbage collector segfault with his solution. That got me
thinking: what would happen if Nim didn’t have to worry about garbage
collecting our marbles? We have a fixed amount of them and don’t need to
worry about memory leaks as the program runs for half a second and then
quits. Changing the Marble type and manually allocating memory for it
— something that is virtually impossible in languages like PHP or Python —
was trivial in Nim:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;type&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;object&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;        &lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;prev&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;ptr&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;        &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int32&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;proc &lt;/span&gt;&lt;span class=&#34;chroma-nf&#34;&gt;insertAfter&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;ptr&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt; &lt;span class=&#34;chroma-p&#34;&gt;{.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;inline&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.}&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-kd&#34;&gt;var&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;cast&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;[&lt;/span&gt;&lt;span class=&#34;chroma-k&#34;&gt;ptr&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;]&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;alloc0&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;sizeof&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)))&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;Taking the garbage collector out of the equation over doubled the performance!
Still, it was my only solution that took more than 100ms and that bothered me…&lt;/p&gt;
&lt;h3 id=&#34;no-looking-back-120ms&#34;&gt;No looking back: ~120ms&lt;/h3&gt;
&lt;p&gt;Thinking about memory allocations made me take a hard look at the structure
of the &lt;code&gt;Marble&lt;/code&gt; type. Each of the seven million marbles has a previous pointer
that we only use to backtrack by a fixed amount every 23rd play, which seems
wasteful. If we reduce the amount of memory we have to allocate, we’ll logically
reduce the time taken allocating it.&lt;/p&gt;
&lt;p&gt;As the game is simulated we keep track of the “current” marble, so why not
keep track of the marble eight behind that? That would allow us to turn the
doubly-linked list into a singly-linked list and save a whole bunch of memory.
This ends up being slightly complicated as initially there aren’t eight marbles,
and every 23rd play we jump the current position backwards (and without
previous pointers, we can’t jump the “current minus eight” pointer backwards).&lt;/p&gt;
&lt;p&gt;To work around these issues, I added a “trailing” pointer that gradually drifts
backwards to eight behind the current pointer as moves are played. There are
22 normal moves that each advance the current pointer by two, so there’s plenty
of time for this to happen.&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-kd&#34;&gt;var&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;currentTrail&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;current&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;currentTrailDrift&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-mi&#34;&gt;0&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-c&#34;&gt;# When a standard move occurs:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-n&#34;&gt;current&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;insertAfter&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;i&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-n&#34;&gt;current&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;current&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;if&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;currentTrailDrift&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;==&lt;/span&gt; &lt;span class=&#34;chroma-mi&#34;&gt;8&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-c&#34;&gt;# Keep the trail eight marbles behind the current one&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;currentTrail&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;currentTrail&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;next&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;else&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-c&#34;&gt;# Don&amp;#39;t move the trail so it drifts away by two marbles&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;currentTrailDrift&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;+=&lt;/span&gt; &lt;span class=&#34;chroma-mi&#34;&gt;2&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;This is one of those optimisations that makes the code a bit harder to follow,
but it sliced a third of the runtime off and takes us tantalisingly close to
that 100ms threshold.&lt;/p&gt;
&lt;h3 id=&#34;one-bulk-order-of-memory-please-50ms&#34;&gt;One bulk order of memory, please: ~50ms&lt;/h3&gt;
&lt;p&gt;Thinking about memory allocations, I realised we were doing seven million small
allocations over the lifetime of the program. We know upfront how many marbles
there are going to be and will need to allocate memory for them all at some
point, so why not just do it in one big bang?&lt;/p&gt;
&lt;p&gt;Fortunately, again, Nim lets you dive from the high-level Python-like world
down to the nitty-gritty of memory management and pointers without blinking.
Now after reading the puzzle input, I allocate a big chunk of memory (for my
input with seven million marbles this equates to around 86MB of RAM) and keep
a pointer to it:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;let&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;hundredMarbles&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;marbles&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;*&lt;/span&gt; &lt;span class=&#34;chroma-mi&#34;&gt;100&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-n&#34;&gt;memory&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;alloc&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;MarbleSize&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;*&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;hundredMarbles&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;Then when it comes to creating a “new” Marble, we simply calculate the
position in our memory block and use it as a pointer:&lt;/p&gt;
&lt;pre class=&#34;chroma-chroma&#34;&gt;&lt;code&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;proc &lt;/span&gt;&lt;span class=&#34;chroma-nf&#34;&gt;addressOf&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;memory&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;pointer&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;marbleNumber&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;):&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt; &lt;span class=&#34;chroma-p&#34;&gt;{.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;inline&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.}&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-k&#34;&gt;cast&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;[&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;]&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-k&#34;&gt;cast&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;[&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;uint&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;]&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;memory&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;+&lt;/span&gt; &lt;span class=&#34;chroma-k&#34;&gt;cast&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;[&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;uint&lt;/span&gt;&lt;span class=&#34;chroma-o&#34;&gt;]&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;marbleNumber&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;*&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;MarbleSize&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;))&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;&lt;span class=&#34;chroma-k&#34;&gt;proc &lt;/span&gt;&lt;span class=&#34;chroma-nf&#34;&gt;insertAfter&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;node&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;memory&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;pointer&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;,&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;:&lt;/span&gt; &lt;span class=&#34;chroma-kt&#34;&gt;int&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;):&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;Marble&lt;/span&gt; &lt;span class=&#34;chroma-p&#34;&gt;{.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;inline&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.}&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class=&#34;chroma-line&#34;&gt;&lt;span class=&#34;chroma-cl&#34;&gt;    &lt;span class=&#34;chroma-kd&#34;&gt;var&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;newNode&lt;/span&gt; &lt;span class=&#34;chroma-o&#34;&gt;=&lt;/span&gt; &lt;span class=&#34;chroma-n&#34;&gt;memory&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;.&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;addressOf&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;(&lt;/span&gt;&lt;span class=&#34;chroma-n&#34;&gt;value&lt;/span&gt;&lt;span class=&#34;chroma-p&#34;&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;p&gt;Changing to this one-time allocation more than halved the runtime of the
program, placing it firmly under the 100ms target I was aiming at. It’s
particularly pleasing how little effort was required for optimisations like
this, and how you can switch from high-level Python-style code to low-level
C-style pointer manipulation.&lt;/p&gt;
&lt;hr/&gt;
&lt;p&gt;You can find the full code to my solution in my &lt;a href=&#34;https://github.com/csmith/aoc-2018&#34;&gt;aoc-2018&lt;/a&gt;
repository. If you’re not taking part in &lt;a href=&#34;https://adventofcode.com/&#34;&gt;Advent of Code&lt;/a&gt;
I highly recommend it, and if you’ve not used &lt;a href=&#34;https://nim-lang.org/&#34;&gt;Nim&lt;/a&gt;
it’s definitely worth a look.&lt;/p&gt;
&lt;div class=&#34;footnotes&#34; role=&#34;doc-endnotes&#34;&gt;
&lt;hr/&gt;
&lt;ol&gt;
&lt;li id=&#34;fn:1&#34;&gt;
&lt;p&gt;PHP has always been fast to start, due to its primary use in a CGI
environment, and the last few major versions of PHP have made its
unbelievably blazingly fast as well, while Python unfortunately
&lt;a href=&#34;https://mail.python.org/pipermail/python-dev/2018-May/153296.html&#34;&gt;has issues with startup time&lt;/a&gt; &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:1&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
</content>
    </entry>
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