Tuesday, 26 December 2017

Does reference counting really use less memory than tracing garbage collection? Mathematica vs Swift vs OCaml vs F# on .NET and Mono

Our previous post caused some controversy by questioning the validity of some commonly-held beliefs. Specifically, the beliefs that reference counting (RC) always requires less memory than tracing garbage collection (GC) and that tracing GCs require 3-4x more memory in order to perform adequately. We presented a benchmark written in Swift and OCaml and noted that the RC'd Swift implementation ran over 5x slower and required over 3x more memory than the tracing GC'd OCaml implementation. This observation disproves these beliefs in their strong form and even brings into question whether there is even any validity in the weak forms of those beliefs. After all, we have never seen any empirical evidence to support these beliefs in any form.
We received a lot of criticism for that post. The vast majority of the criticism was not constructive but two valid points did arise. Firstly, although our result was anomalous it would be more compelling to see the benchmark repeated across a wider variety of production languages using both RC and tracing GC because this would help to reduce the error caused by differences other than GC strategy. Secondly, it would be more compelling to repeat the study with different benchmark tasks in case this one problem (computing symbolic derivatives) is anomalous. This post addresses the former concern.
We implemented equivalent solutions to the original Swift and OCaml, this time in F# and Mathematica. The F# uses a tracing garbage that is inherited from its runtime (either Mono or .NET). Mathematica is a domain specific language (DSL) designed specifically for computer algebra that uses its own heavily-optimized RC implementation so it stands the best possible chance of being able to compete with the original OCaml. So these additional measurements should usefully extend the applicability of our findings.
The F# 4.0 code was run on Mono 4.6.2 directly on the Raspberry Pi 3 alongside the Swift and OCaml and also on .NET 4.7 on Windows 10 (i.e. different architecture and platform!). Our results for Mathematica represent excess memory consumption over the initial consumption (because Mathematica has a uniquely huge standard library) and were obtained running on Mathematica 11.2 in the cloud and 10.0.1 on the Raspberry Pi 3.
According to our measurements, the solutions using tracing GCs require less memory than the solutions using RC in every single case:
Again, we find that this common belief that RC requires less memory to be unjustified.
Just out of interest, here are the run times too (on Raspberry Pi 3 only):

Sunday, 24 December 2017

Does reference counting really use less memory than tracing garbage collection? Swift vs OCaml

The way software developers cling to folklore and avoid proper experimental testing of hypotheses really bothers me. I think perhaps the worst branch of computer science still riddled with myths and legends is memory management.
Despite over half a century of research on garbage collection showing that reference counting is inferior to tracing garbage collections algorithms (even when almost all GC research restricts consideration to Java when much better algorithms have been known for years) there are still many people who claim otherwise. C++ developers obviously still believe that reference counted smart pointers are superior to tracing garbage collection but now other people are doing it too. People who should know better.
This situation recently reared its ugly head again when Apple released a promising new programming language called Swift that shuns tracing garbage collection in favor of reference counting. Now, there are logical reasons for Apple to have chosen reference counting, most notably that their existing infrastructure uses it heavily. That I can tolerate. However, what I cannot tolerate is Apple putting lipstick on their pig by making technical claims about the superiority of reference counting over tracing garbage collection. Baseless claims.
Chris Lattner is a great guy and I have a lot of respect for him as the author of both LLVM and Swift but I'm amazed to see him make claims like:
"More pointedly, not relying on GC enables Swift to be used in domains that don’t want it - think boot loaders, kernels, real time systems like audio processing, etc.
One thing that I don’t think is debatable is that the heap compaction behavior of a GC (which is what provides the heap fragmentation win) is incredibly hostile for cache (because it cycles the entire memory space of the process) and performance predictability.
Given that GC’s use a lot more memory than ARC systems do, it isn’t clear what you mean by GC’s winning on heap fragmentation.
GC also has several *huge* disadvantages that are usually glossed over: while it is true that modern GC's can provide high performance, they can only do that when they are granted *much* more memory than the process is actually using. Generally, unless you give the GC 3-4x more memory than is needed, you’ll get thrashing and incredibly poor performance. Additionally, since the sweep pass touches almost all RAM in the process, they tend to be very power inefficient (leading to reduced battery life)."
Some of these beliefs are clearly wrong. For example, Docker and Mirage are both written in languages using tracing garbage collection (Go and OCaml, respectively). Others are less obviously wrong. For example, claiming that GCs "cycle the entire memory space of the process" and "the sweep pass touches almost all RAM in the process" is actually untrue but it isn't immediately obvious why. The reason is that tracing garbage collectors only care about pointers. When presented with a block of binary data (e.g. an array of numbers) that doesn't contain any pointers a tracing GC will not bother to trace it. None of that RAM gets touched. A tracing GC will only touch almost all RAM if the heap is composed almost entirely of pointers. For example, if you had a traditional purely functional collection like a balanced binary tree so big that it consumed all available memory. Even on a mobile phone that is extremely unlikely to occur. Also, Chris' claim about heap fragmentation is at best dubious. The primary source of defragmentation in a generational collector is copying survivors from the nursery into a mostly-contiguous part of an older generation. The nursery is deliberately sized so that this operation is expected to fit into CPU cache so it is not "incredibly hostile for the cache" at all. On the contrary, GC research has shown the cache friendliness of this operation to be one of the most important benefits of generational GCs. Finally, some of these claims are surprising to me and I am unwilling to accept them as fact without first running some tests in an attempt to falsify them. Most notably this belief that tracing garbage collection requires 3-4x more memory than reference counting. Where did these numbers come from?!
Before we get into my findings perhaps I should explain my unwillingness to accept this information. Perhaps the most obvious problem is that, if the performance of a tracing GC is crippled by less than 3x memory overhead, why is the default memory overhead of OCaml's GC set to just 80%? I've noticed that Apple aficionados often cite this paper by Hertz et al. in an attempt to justify their belief that tracing garbage collection requires 3-4x more memory than manual memory management in order to work efficiently. There are many problems with this. Firstly, extending the conclusion to reference counting requires you to believe that reference counting has no space overheads when, in fact, it obviously needs to store the reference counts and that it collects at the earliest possible point in a programs execution when, in fact, it doesn't. Secondly, that paper silently ignores the production-quality JVM collector and replaces it with a variety of toy collectors, most of which use algorithms the likes of which haven't been seen in production for decades. Am I supposed to just believe that they did an expert job implementing their toy collectors? Where is their source code so I can reproduce these results for myself? Smells fishy. Finally, they give no justification for their choice of benchmark programs, they end up dropping three of the eight benchmarks they started with because they couldn't get their code to work properly and some of the remaining benchmarks (e.g. a ray tracer) sound rather anomalous from a memory management perspective.
So I decided to test this hypothesis myself by benchmarking Swift against OCaml. Swift uses reference counting and OCaml uses tracing garbage collection. I am interested primarily in memory consumption but performance, compile times and code size will also be interesting. I thought about possible benchmark tasks. Given Chris' implication of high pointer density I thought it would be good to try some immutable collections. At first I thought of lists but then I figured trees would be more involved but still tractable in both languages. A common source of such collections is expression trees. Rather than writing an interpreter I thought it would be more interesting to write a program that computes the symbolic derivative of a mathematical expression. If we restrict consideration to integers, variables, addition, multiplication, raise to the power and logarithm then we can easily write a function that differentiates any such expression.
Here is a solution in Swift and a solution in OCaml. The algorithms should be identical but clearly aren't optimal. I'm much more familiar with OCaml than Swift so I reached out to the Swift community for code review and folded in one fix and some minor improvements but nobody could optimize it.
On a Raspberry Pi 3 running Swift 3.1.1 and OCaml 4.02.3 to compute up to the 9th derivative of x^x I get:
  • Swift requires 70% more chars of source code (3,939 vs 2,308 chars)
  • OCaml compiles over 3x faster than Swift with -O (1.7s vs 5.3s).
  • OCaml runs over 5x faster than Swift (1.469s vs 7.623s).
  • Swift consumes over 3x more resident memory (104MB vs 29MB).

Turns out the Swift code can be shrunk by prefixing function parameters with an underscore in order to avoid having to name all arguments at all call sites so the code sizes aren't amazingly interesting, except perhaps that it is awesome to see more mainstream languages providing union types and pattern matching. The compile times are interesting: OCaml is very fast so 3x slower than OCaml is actually pretty good. Many languages are orders of magnitude slower than OCaml at compilation. The run times are very interesting to me because I have previously noted reference counting in C++ running 10x slower than OCaml and fully expected Swift to be slow at this because reference counting is slow but exactly how slow I didn't know because I am aware that Swift goes to great lengths to try to optimise away increments and decrements of reference counts. The memory consumption is a really amazing to me. Swift uses over 3x more resident memory than OCaml. Wow. Not even close!
This cannot just be because every word-size datum in the heap has been augmented with a word-sized reference count because that could only account for a factor of two. I suspect OCaml's tracing garbage collector is collecting garbage earlier than Swift's reference counting. I'll wager part of the problem is that Swift leaks in the presence of recursion due to the use of scope-based reference counting without tail call elimination. If so, that is an obvious optimisation for Chris to put into his Swift compiler. I'll leave the task of replacing my recursive nest function with an iterative looping one to test this theory as an exercise for the reader.
Anyway, the conclusion seems clear: in at least this case reference counting requires more memory than tracing garbage collection. Therefore, it is unreasonable to make assertions like "tracing GC requires 3-4x more memory than reference counting to perform adequately".

Merry Christmas, y'all.