How to accurately measure performance of sorting algorithms - algorithm

I have a bunch of sorting algorithms in C I wish to benchmark. I am concerned regarding good methodology for doing so. Things that could affect benchmark performance include (but are not limited to): specific coding of the implementation, programming language, compiler (and compiler options), benchmarking machine and critically the input data and time measuring method. How do I minimize the effect of said variables on the benchmark's results?
To give you a few examples, I've considered multiple implementations on two different languages to adjust for the first two variables. Moreover I could compile the code with different compilers on fairly mundane (and specified) arguments. Now I'm going to be running the test on my machine, which features turbo boost and whatnot and often boosts a core running stuff to the moon. Of course I will be disabling that and doing multiple runs and likely taking their mean completion time to adjust for that as well. Regarding the input data, I will be taking different array sizes, from very small to relatively large. I do not know what the increments should ideally be like, and what the range of the elements should be as well. Also I presume duplicate elements should be allowed.
I know that theoretical analysis of algorithms accounts for all of these methods, but it is crucial that I complement my study with actual benchmarks. How would you go about resolving the mentioned issues, and adjust for these variables once the data is collected? I'm comfortable with the technologies I'm working with, less so with strict methodology for studying a topic. Thank you.

You can't benchmark abstract algorithms, only specific implementations of them, compiled with specific compilers running on specific machines.
Choose a couple different relevant compilers and machines (e.g. a Haswell, Ice Lake, and/or Zen2, and an Apple M1 if you can get your hands on one, and/or an AArch64 cloud server) and measure your real implementations. If you care about in-order CPUs like ARM Cortex-A53, measure on one of those, too. (Simulation with GEM5 or similar performance simulators might be worth trying. Also maybe relevant are low-power implementations like Intel Silvermont whose out-of-order window is much smaller, but also have a shorter pipeline so smaller branch mispredict penalty.)
If some algorithm allows a useful micro-optimization in the source, or that a compiler finds, that's a real advantage of that algorithm.
Compile with options you'd use in practice for the use-cases you care about, like clang -O3 -march=native, or just -O2.
Benchmarking on cloud servers makes it hard / impossible to get an idle system, unless you pay a lot for a huge instance, but modern AArch64 servers are relevant and may have different ratios of memory bandwidth vs. branch mispredict costs vs. cache sizes and bandwidths.
(You might well find that the same code is the fastest sorting implementation on all or most of the systems you test one.
Re: sizes: yes, a variety of sizes would be good.
You'll normally want to test with random data, perhaps always generated from the same PRNG seed so you're sorting the same data every time.
You may also want to test some unusual cases like already-sorted or almost-sorted, because algorithms that are extra fast for those cases are useful.
If you care about sorting things other than integers, you might want to test with structs of different sizes, with an int key as a member. Or a comparison function that does some amount of work, if you want to explore how sorts do with a compare function that isn't as simple as just one compare machine instruction.
As always with microbenchmarking, there are many pitfalls around warm-up of arrays (page faults) and CPU frequency, and more. Idiomatic way of performance evaluation?
taking their mean completion time
You might want to discard high outliers, or take the median which will have that effect for you. Usually that means "something happened" during that run to disturb it. If you're running the same code on the same data, often you can expect the same performance. (Randomization of code / stack addresses with page granularity usually doesn't affect branches aliasing each other in predictors or not, or data-cache conflict misses, but tiny changes in one part of the code can change performance of other code via effects like that if you're re-compiling.)
If you're trying to see how it would run when it has the machine to itself, you don't want to consider runs where something else interfered. If you're trying to benchmark under "real world" cloud server conditions, or with other threads doing other work in a real program, that's different and you'd need to come up with realistic other loads that use some amount of shared resources like L3 footprint and memory bandwidth.

Things that could affect benchmark performance include (but are not limited to): specific coding of the implementation, programming language, compiler (and compiler options), benchmarking machine and critically the input data and time measuring method.
Let's look at this from a very different perspective - how to present information to humans.
With 2 variables you get a nice 2-dimensional grid of results, maybe like this:
A = 1 A = 2
B = 1 4 seconds 2 seconds
B = 2 6 seconds 3 seconds
This is easy to display and easy for humans to understand and draw conclusions from (e.g. from my silly example table it's trivial to make 2 very different observations - "A=1 is twice as fast as A=2 (regardless of B)" and "B=1 is faster than B=2 (regardless of A)").
With 3 variables you get a 3-dimensional grid of results, and with N variables you get an N-dimensional grid of results. Humans struggle with "3-dimensional data on 2-dimensional screen" and more dimensions becomes a disaster. You can mitigate this a little by "peeling off" a dimension (e.g. instead of trying to present a 3D grid of results you could show multiple 2D grids); but that doesn't help humans much.
Your primary goal is to reduce the number of variables.
To reduce the number of variables:
a) Determine how important each variable is for what you intend to observe (e.g. "which algorithm" will be extremely important and "which language" will be less important).
b) Merge variables based on importance and "logical grouping". For example, you might get three "lower importance" variables (language, compiler, compiler options) and merge them into a single "language+compiler+options" variable.
Note that it's very easy to overlook a variable. For example, you might benchmark "algorithm 1" on one computer and benchmark "algorithm 2" on an almost identical computer, but overlook the fact that (even though both benchmarks used identical languages, compilers, compiler options and CPUs) one computer has faster RAM chips, and overlook "RAM speed" as a possible variable.
Your secondary goal is to reduce number of values each variable can have.
You don't want massive table/s with 12345678 million rows; and you don't want to spend the rest of your life benchmarking to generate such a large table.
To reduce the number of values each variable can have:
a) Figure out which values matter most
b) Select the right number of values in order of importance (and ignore/skip all other values)
For example, if you merged three "lower importance" variables (language, compiler, compiler options) into a single variable; then you might decide that 2 possibilities ("C compiled by GCC with -O3" and "C++ compiled by MSVC with -Ox") are important enough to worry about (for what you're intending to observe) and all of the other possibilities get ignored.
How do I minimize the effect of said variables on the benchmark's results?
How would you go about resolving the mentioned issues, and adjust for these variables once the data is collected?
By identifying the variables (as part of the primary goal) and explicitly deciding which values the variables may have (as part of the secondary goal).
You've already been doing this. What I've described is a formal method of doing what people would unconsciously/instinctively do anyway. For one example, you have identified that "turbo boost" is a variable, and you've decided that "turbo boost disabled" is the only value for that variable you care about (but do note that this may have consequences - e.g. consider "single-threaded merge sort without the turbo boost it'd likely get in practice" vs. "parallel merge sort that isn't as influenced by turning turbo boost off").
My hope is that by describing the formal method you gain confidence in the unconscious/instinctive decisions you're already making, and realize that you were very much on the right path before you asked the question.

Related

swap two variables. which way is faster?

Let's say we have two integers a and b. which way is faster for swapping their values?
c=a;
a=b;
b=c;//(edited typo)
or
a=a+b;
b=a-b;
a=a-b;
or bitwise xor
a=a^b;
b=a^b;
a=a^b;
I'll test its performance differences when I'll be able but I'd like to know it now. Is it bitwise?
Firstly, you cannot quantify the speed of an algorithm independent of the program language, the compiler and the platform on which it is run. An algorithm is a mathematical abstraction.
Having said that:
for a typical programming language,
and a typical compiler, and
a typical execution platform,
the first version will typically be faster because it will typically compile to fewer native instructions that take less clock cycles to execute. The first version only requires load and save operations. The other two versions have (at least) the same number of loads and saves, and some additional arithmetic or bit manipulation instructions.
However, even that is not cut-and-dry.
The 2nd and 3rd examples are performing the swap without using a temporary variable. This is something you might do if using an extra temporary variable was expensive. This might happen on a machine which didn't provide enough general purpose registers, and the relative cost of loading / saving to memory was large. In some circumstances, the native code equivalents could be optimal.
However ... and this is the real point ... the best strategy is to leave this kind of decision to the compiler. Unless you are prepared to put a huge amount of effort into micro-optimizing, the compiler is likely to be able to a better job than you can. Indeed, writing code in "cunning ways" is liable to make it harder for the compiler to optimize. (In the 3rd case for example, the compiler would need to figure out that that sequence is actually swapping 2 variables before it can substitute the optimal instruction sequence. Chances are that the optimizer won't be able to do that.)

Preventing performance regressions in R

What is a good workflow for detecting performance regressions in R packages? Ideally, I'm looking for something that integrates with R CMD check that alerts me when I have introduced a significant performance regression in my code.
What is a good workflow in general? What other languages provide good tools? Is it something that can be built on top unit testing, or that is usually done separately?
This is a very challenging question, and one that I'm frequently dealing with, as I swap out different code in a package to speed things up. Sometimes a performance regression comes along with a change in algorithms or implementation, but it may also arise due to changes in the data structures used.
What is a good workflow for detecting performance regressions in R packages?
In my case, I tend to have very specific use cases that I'm trying to speed up, with different fixed data sets. As Spacedman wrote, it's important to have a fixed computing system, but that's almost infeasible: sometimes a shared computer may have other processes that slow things down 10-20%, even when it looks quite idle.
My steps:
Standardize the platform (e.g. one or a few machines, a particular virtual machine, or a virtual machine + specific infrastructure, a la Amazon's EC2 instance types).
Standardize the data set that will be used for speed testing.
Create scripts and fixed intermediate data output (i.e. saved to .rdat files) that involve very minimal data transformations. My focus is on some kind of modeling, rather than data manipulation or transformation. This means that I want to give exactly the same block of data to the modeling functions. If, however, data transformation is the goal, then be sure that the pre-transformed/manipulated data is as close as possible to standard across tests of different versions of the package. (See this question for examples of memoization, cacheing, etc., that can be used to standardize or speed up non-focal computations. It references several packages by the OP.)
Repeat tests multiple times.
Scale the results relative to fixed benchmarks, e.g. the time to perform a linear regression, to sort a matrix, etc. This can allow for "local" or transient variations in infrastructure, such as may be due to I/O, the memory system, dependent packages, etc.
Examine the profiling output as vigorously as possible (see this question for some insights, also referencing tools from the OP).
Ideally, I'm looking for something that integrates with R CMD check that alerts me when I have introduced a significant performance regression in my code.
Unfortunately, I don't have an answer for this.
What is a good workflow in general?
For me, it's quite similar to general dynamic code testing: is the output (execution time in this case) reproducible, optimal, and transparent? Transparency comes from understanding what affects the overall time. This is where Mike Dunlavey's suggestions are important, but I prefer to go further, with a line profiler.
Regarding a line profiler, see my previous question, which refers to options in Python and Matlab for other examples. It's most important to examine clock time, but also very important to track memory allocation, number of times the line is executed, and call stack depth.
What other languages provide good tools?
Almost all other languages have better tools. :) Interpreted languages like Python and Matlab have the good & possibly familiar examples of tools that can be adapted for this purpose. Although dynamic analysis is very important, static analysis can help identify where there may be some serious problems. Matlab has a great static analyzer that can report when objects (e.g. vectors, matrices) are growing inside of loops, for instance. It is terrible to find this only via dynamic analysis - you've already wasted execution time to discover something like this, and it's not always discernible if your execution context is pretty simple (e.g. just a few iterations, or small objects).
As far as language-agnostic methods, you can look at:
Valgrind & cachegrind
Monitoring of disk I/O, dirty buffers, etc.
Monitoring of RAM (Cachegrind is helpful, but you could just monitor RAM allocation, and lots of details about RAM usage)
Usage of multiple cores
Is it something that can be built on top unit testing, or that is usually done separately?
This is hard to answer. For static analysis, it can occur before unit testing. For dynamic analysis, one may want to add more tests. Think of it as sequential design (i.e. from an experimental design framework): if the execution costs appear to be, within some statistical allowances for variation, the same, then no further tests are needed. If, however, method B seems to have an average execution cost greater than method A, then one should perform more intensive tests.
Update 1: If I may be so bold, there's another question that I'd recommend including, which is: "What are some gotchas in comparing the execution time of two versions of a package?" This is analogous to assuming that two programs that implement the same algorithm should have the same intermediate objects. That's not exactly true (see this question - not that I'm promoting my own questions, here - it's just hard work to make things better and faster...leading to multiple SO questions on this topic :)). In a similar way, two executions of the same code can differ in time consumed due to factors other than the implementation.
So, some gotchas that can occur, either within the same language or across languages, within the same execution instance or across "identical" instances, which can affect runtime:
Garbage collection - different implementations or languages can hit garbage collection under different circumstances. This can make two executions appear different, though it can be very dependent on context, parameters, data sets, etc. The GC-obsessive execution will look slower.
Cacheing at the level of the disk, motherboard (e.g. L1, L2, L3 caches), or other levels (e.g. memoization). Often, the first execution will pay a penalty.
Dynamic voltage scaling - This one sucks. When there is a problem, this may be one of the hardest beasties to find, since it can go away quickly. It looks like cacheing, but it isn't.
Any job priority manager that you don't know about.
One method uses multiple cores or does some clever stuff about how work is parceled among cores or CPUs. For instance, getting a process locked to a core can be useful in some scenarios. One execution of an R package may be luckier in this regard, another package may be very clever...
Unused variables, excessive data transfer, dirty caches, unflushed buffers, ... the list goes on.
The key result is: Ideally, how should we test for differences in expected values, subject to the randomness created due to order effects? Well, pretty simple: go back to experimental design. :)
When the empirical differences in execution times are different from the "expected" differences, it's great to have enabled additional system and execution monitoring so that we don't have to re-run the experiments until we're blue in the face.
The only way to do anything here is to make some assumptions. So let us assume an unchanged machine, or else require a 'recalibration'.
Then use a unit-test alike framework, and treat 'has to be done in X units of time' as just yet another testing criterion to be fulfilled. In other words, do something like
stopifnot( timingOf( someExpression ) < savedValue plus fudge)
so we would have to associate prior timings with given expressions. Equality-testing comparisons from any one of the three existing unit testing packages could be used as well.
Nothing that Hadley couldn't handle so I think we can almost expect a new package timr after the next long academic break :). Of course, this has to be either be optional because on a "unknown" machine (think: CRAN testing the package) we have no reference point, or else the fudge factor has to "go to 11" to automatically accept on a new machine.
A recent change announced on the R-devel feed could give a crude measure for this.
CHANGES IN R-devel UTILITIES
‘R CMD check’ can optionally report timings on various parts of the check: this is controlled by environment variables documented in ‘Writing R Extensions’.
See http://developer.r-project.org/blosxom.cgi/R-devel/2011/12/13#n2011-12-13
The overall time spent running the tests could be checked and compared to previous values. Of course, adding new tests will increase the time, but dramatic performance regressions could still be seen, albeit manually.
This is not as fine grained as timing support within individual test suites, but it also does not depend on any one specific test suite.

Computing Efficiency Question

I'm wondering about computational efficiency. I'm going to use Java in this example, but it is a general computing question. Lets say I have a string and I want to get the value of the first letter of the string, as a string. So I can do
String firstletter = String.valueOf(somestring.toCharArray()[0]);
Or I could do:
char[] stringaschar = somestring.toCharArray();
char firstchar = stringaschar[0];
String firstletter = String.valueOf(firstchar);
My question is, are the two ways essentially the same, computationally? I mean, the second way I explicitly had to create 2 intermediate variables, to be stored in memory (the stack?) temporarily.
But the first way, too, the computer will have to still create the same variables, implicitly, right? And the number of operations doesn't change. My thinking is, the two ways are the same. But I'd like to know for sure.
In most cases the two ways should produce the same, or nearly the same, object code. Optimizing compilers usually detect that the intermediate variables in the second option are not necessary to get the correct result, and will collapse the call graph accordingly.
This all depends on how your Java interpreter decides to translate your code into an intermediary language for runtime execution. It may actually have optimizations which translate the two approaches to be the same exact byte code.
The two should be essentially the same. In both cases you make the same calls converting the string to an array, finding the first character, and getting the value of the character. There may be minor differences in how the compiler handles these, but they should be insignficant.
The earlier answers are coincident and right, AFAIK.
However, I think there are a few additional and general considerations you should be aware of each time you wonder about the efficiency of any computational asset (code, for example).
First, if everything is under your strict control you could in principle count clock cycles one by one from assembly code. Or from some more abstract reasoning find the computational cost of an operation/algorithm.
So far so good. But don't forget to measure afterwards. You may find that measuring execution times is not so easy and straightforward, and sometimes is elusive (How to account for interrupts, for I/O wait, for network bottlenecks ...). But it pays. You ask here for counsel, but YOUR Compiler/Interpreter/P-code generator/Whatever could be set with just THAT switch in the third layer of your config scripts.
The other consideration, more to your current point is the existence of Black Boxes. You are not alone in the world and a Black Box is any piece used to run your code, which is essentially out of your control. Compilers, Operating Systems, Networks, Storage Systems, and the World in general fall into this category.
What we do with Black Boxes (they are black, either because their code is not public or because we just happen to use our free time fishing instead of digging library source code) is establishing mental models to help us understand how they work. (BTW, This is an extraordinary book about how we humans forge our mental models). But you should always beware that they are models, not the real thing. Models help us to explain things ... to a certain extent. Classical Mechanics reigned until Relativity and Quantum Mechanics fluorished. None of them is wrong They have limits, and so have all our models.
Even if you happen to be friend with your router OS, or your Linux kernel, when confronting an efficiency problem, design a good experiment and measure.
HTH!
NB: By design a good experiment I mean beware of the tar pits. Examples: measuring your measurement code instead the target of the experiment, being influenced by external factors, forget external factors that will influence the production code, test with data whose cardinality, orthogonality, or whatever-ality is dissimilar with the "real world", mapping wrongly the production and testing Client/server workhorses, et c, et c, et c.
So go, and meassure your code. Your results will be the most interesting thing in this page.

Performance optimization strategies of last resort [closed]

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There are plenty of performance questions on this site already, but it occurs to me that almost all are very problem-specific and fairly narrow. And almost all repeat the advice to avoid premature optimization.
Let's assume:
the code already is working correctly
the algorithms chosen are already optimal for the circumstances of the problem
the code has been measured, and the offending routines have been isolated
all attempts to optimize will also be measured to ensure they do not make matters worse
What I am looking for here is strategies and tricks to squeeze out up to the last few percent in a critical algorithm when there is nothing else left to do but whatever it takes.
Ideally, try to make answers language agnostic, and indicate any down-sides to the suggested strategies where applicable.
I'll add a reply with my own initial suggestions, and look forward to whatever else the Stack Overflow community can think of.
OK, you're defining the problem to where it would seem there is not much room for improvement. That is fairly rare, in my experience. I tried to explain this in a Dr. Dobbs article in November 1993, by starting from a conventionally well-designed non-trivial program with no obvious waste and taking it through a series of optimizations until its wall-clock time was reduced from 48 seconds to 1.1 seconds, and the source code size was reduced by a factor of 4. My diagnostic tool was this. The sequence of changes was this:
The first problem found was use of list clusters (now called "iterators" and "container classes") accounting for over half the time. Those were replaced with fairly simple code, bringing the time down to 20 seconds.
Now the largest time-taker is more list-building. As a percentage, it was not so big before, but now it is because the bigger problem was removed. I find a way to speed it up, and the time drops to 17 seconds.
Now it is harder to find obvious culprits, but there are a few smaller ones that I can do something about, and the time drops to 13 sec.
Now I seem to have hit a wall. The samples are telling me exactly what it is doing, but I can't seem to find anything that I can improve. Then I reflect on the basic design of the program, on its transaction-driven structure, and ask if all the list-searching that it is doing is actually mandated by the requirements of the problem.
Then I hit upon a re-design, where the program code is actually generated (via preprocessor macros) from a smaller set of source, and in which the program is not constantly figuring out things that the programmer knows are fairly predictable. In other words, don't "interpret" the sequence of things to do, "compile" it.
That redesign is done, shrinking the source code by a factor of 4, and the time is reduced to 10 seconds.
Now, because it's getting so quick, it's hard to sample, so I give it 10 times as much work to do, but the following times are based on the original workload.
More diagnosis reveals that it is spending time in queue-management. In-lining these reduces the time to 7 seconds.
Now a big time-taker is the diagnostic printing I had been doing. Flush that - 4 seconds.
Now the biggest time-takers are calls to malloc and free. Recycle objects - 2.6 seconds.
Continuing to sample, I still find operations that are not strictly necessary - 1.1 seconds.
Total speedup factor: 43.6
Now no two programs are alike, but in non-toy software I've always seen a progression like this. First you get the easy stuff, and then the more difficult, until you get to a point of diminishing returns. Then the insight you gain may well lead to a redesign, starting a new round of speedups, until you again hit diminishing returns. Now this is the point at which it might make sense to wonder whether ++i or i++ or for(;;) or while(1) are faster: the kinds of questions I see so often on Stack Overflow.
P.S. It may be wondered why I didn't use a profiler. The answer is that almost every one of these "problems" was a function call site, which stack samples pinpoint. Profilers, even today, are just barely coming around to the idea that statements and call instructions are more important to locate, and easier to fix, than whole functions.
I actually built a profiler to do this, but for a real down-and-dirty intimacy with what the code is doing, there's no substitute for getting your fingers right in it. It is not an issue that the number of samples is small, because none of the problems being found are so tiny that they are easily missed.
ADDED: jerryjvl requested some examples. Here is the first problem. It consists of a small number of separate lines of code, together taking over half the time:
/* IF ALL TASKS DONE, SEND ITC_ACKOP, AND DELETE OP */
if (ptop->current_task >= ILST_LENGTH(ptop->tasklist){
. . .
/* FOR EACH OPERATION REQUEST */
for ( ptop = ILST_FIRST(oplist); ptop != NULL; ptop = ILST_NEXT(oplist, ptop)){
. . .
/* GET CURRENT TASK */
ptask = ILST_NTH(ptop->tasklist, ptop->current_task)
These were using the list cluster ILST (similar to a list class). They are implemented in the usual way, with "information hiding" meaning that the users of the class were not supposed to have to care how they were implemented. When these lines were written (out of roughly 800 lines of code) thought was not given to the idea that these could be a "bottleneck" (I hate that word). They are simply the recommended way to do things. It is easy to say in hindsight that these should have been avoided, but in my experience all performance problems are like that. In general, it is good to try to avoid creating performance problems. It is even better to find and fix the ones that are created, even though they "should have been avoided" (in hindsight). I hope that gives a bit of the flavor.
Here is the second problem, in two separate lines:
/* ADD TASK TO TASK LIST */
ILST_APPEND(ptop->tasklist, ptask)
. . .
/* ADD TRANSACTION TO TRANSACTION QUEUE */
ILST_APPEND(trnque, ptrn)
These are building lists by appending items to their ends. (The fix was to collect the items in arrays, and build the lists all at once.) The interesting thing is that these statements only cost (i.e. were on the call stack) 3/48 of the original time, so they were not in fact a big problem at the beginning. However, after removing the first problem, they cost 3/20 of the time and so were now a "bigger fish". In general, that's how it goes.
I might add that this project was distilled from a real project I helped on. In that project, the performance problems were far more dramatic (as were the speedups), such as calling a database-access routine within an inner loop to see if a task was finished.
REFERENCE ADDED:
The source code, both original and redesigned, can be found in www.ddj.com, for 1993, in file 9311.zip, files slug.asc and slug.zip.
EDIT 2011/11/26:
There is now a SourceForge project containing source code in Visual C++ and a blow-by-blow description of how it was tuned. It only goes through the first half of the scenario described above, and it doesn't follow exactly the same sequence, but still gets a 2-3 order of magnitude speedup.
Suggestions:
Pre-compute rather than re-calculate: any loops or repeated calls that contain calculations that have a relatively limited range of inputs, consider making a lookup (array or dictionary) that contains the result of that calculation for all values in the valid range of inputs. Then use a simple lookup inside the algorithm instead.
Down-sides: if few of the pre-computed values are actually used this may make matters worse, also the lookup may take significant memory.
Don't use library methods: most libraries need to be written to operate correctly under a broad range of scenarios, and perform null checks on parameters, etc. By re-implementing a method you may be able to strip out a lot of logic that does not apply in the exact circumstance you are using it.
Down-sides: writing additional code means more surface area for bugs.
Do use library methods: to contradict myself, language libraries get written by people that are a lot smarter than you or me; odds are they did it better and faster. Do not implement it yourself unless you can actually make it faster (i.e.: always measure!)
Cheat: in some cases although an exact calculation may exist for your problem, you may not need 'exact', sometimes an approximation may be 'good enough' and a lot faster in the deal. Ask yourself, does it really matter if the answer is out by 1%? 5%? even 10%?
Down-sides: Well... the answer won't be exact.
When you can't improve the performance any more - see if you can improve the perceived performance instead.
You may not be able to make your fooCalc algorithm faster, but often there are ways to make your application seem more responsive to the user.
A few examples:
anticipating what the user is going
to request and start working on that
before then
displaying results as
they come in, instead of all at once
at the end
Accurate progress meter
These won't make your program faster, but it might make your users happier with the speed you have.
I spend most of my life in just this place. The broad strokes are to run your profiler and get it to record:
Cache misses. Data cache is the #1 source of stalls in most programs. Improve cache hit rate by reorganizing offending data structures to have better locality; pack structures and numerical types down to eliminate wasted bytes (and therefore wasted cache fetches); prefetch data wherever possible to reduce stalls.
Load-hit-stores. Compiler assumptions about pointer aliasing, and cases where data is moved between disconnected register sets via memory, can cause a certain pathological behavior that causes the entire CPU pipeline to clear on a load op. Find places where floats, vectors, and ints are being cast to one another and eliminate them. Use __restrict liberally to promise the compiler about aliasing.
Microcoded operations. Most processors have some operations that cannot be pipelined, but instead run a tiny subroutine stored in ROM. Examples on the PowerPC are integer multiply, divide, and shift-by-variable-amount. The problem is that the entire pipeline stops dead while this operation is executing. Try to eliminate use of these operations or at least break them down into their constituent pipelined ops so you can get the benefit of superscalar dispatch on whatever the rest of your program is doing.
Branch mispredicts. These too empty the pipeline. Find cases where the CPU is spending a lot of time refilling the pipe after a branch, and use branch hinting if available to get it to predict correctly more often. Or better yet, replace branches with conditional-moves wherever possible, especially after floating point operations because their pipe is usually deeper and reading the condition flags after fcmp can cause a stall.
Sequential floating-point ops. Make these SIMD.
And one more thing I like to do:
Set your compiler to output assembly listings and look at what it emits for the hotspot functions in your code. All those clever optimizations that "a good compiler should be able to do for you automatically"? Chances are your actual compiler doesn't do them. I've seen GCC emit truly WTF code.
Throw more hardware at it!
More suggestions:
Avoid I/O: Any I/O (disk, network, ports, etc.) is
always going to be far slower than any code that is
performing calculations, so get rid of any I/O that you do
not strictly need.
Move I/O up-front: Load up all the data you are going
to need for a calculation up-front, so that you do not
have repeated I/O waits within the core of a critical
algorithm (and maybe as a result repeated disk seeks, when
loading all the data in one hit may avoid seeking).
Delay I/O: Do not write out your results until the
calculation is over, store them in a data structure and
then dump that out in one go at the end when the hard work
is done.
Threaded I/O: For those daring enough, combine 'I/O
up-front' or 'Delay I/O' with the actual calculation by
moving the loading into a parallel thread, so that while
you are loading more data you can work on a calculation on
the data you already have, or while you calculate the next
batch of data you can simultaneously write out the results
from the last batch.
Since many of the performance problems involve database issues, I'll give you some specific things to look at when tuning queries and stored procedures.
Avoid cursors in most databases. Avoid looping as well. Most of the time, data access should be set-based, not record by record processing. This includes not reusing a single record stored procedure when you want to insert 1,000,000 records at once.
Never use select *, only return the fields you actually need. This is especially true if there are any joins as the join fields will be repeated and thus cause unnecesary load on both the server and the network.
Avoid the use of correlated subqueries. Use joins (including joins to derived tables where possible) (I know this is true for Microsoft SQL Server, but test the advice when using a differnt backend).
Index, index, index. And get those stats updated if applicable to your database.
Make the query sargable. Meaning avoid things which make it impossible to use the indexes such as using a wildcard in the first character of a like clause or a function in the join or as the left part of a where statement.
Use correct data types. It is faster to do date math on a date field than to have to try to convert a string datatype to a date datatype, then do the calculation.
Never put a loop of any kind into a trigger!
Most databases have a way to check how the query execution will be done. In Microsoft SQL Server this is called an execution plan. Check those first to see where problem areas lie.
Consider how often the query runs as well as how long it takes to run when determining what needs to be optimized. Sometimes you can gain more perfomance from a slight tweak to a query that runs millions of times a day than you can from wiping time off a long_running query that only runs once a month.
Use some sort of profiler tool to find out what is really being sent to and from the database. I can remember one time in the past where we couldn't figure out why the page was so slow to load when the stored procedure was fast and found out through profiling that the webpage was asking for the query many many times instead of once.
The profiler will also help you to find who are blocking who. Some queries that execute quickly while running alone may become really slow due to locks from other queries.
The single most important limiting factor today is the limited memory bandwitdh. Multicores are just making this worse, as the bandwidth is shared betwen cores. Also, the limited chip area devoted to implementing caches is also divided among the cores and threads, worsening this problem even more. Finally, the inter-chip signalling needed to keep the different caches coherent also increase with an increased number of cores. This also adds a penalty.
These are the effects that you need to manage. Sometimes through micro managing your code, but sometimes through careful consideration and refactoring.
A lot of comments already mention cache friendly code. There are at least two distinct flavors of this:
Avoid memory fetch latencies.
Lower memory bus pressure (bandwidth).
The first problem specifically has to do with making your data access patterns more regular, allowing the hardware prefetcher to work efficiently. Avoid dynamic memory allocation which spreads your data objects around in memory. Use linear containers instead of linked lists, hashes and trees.
The second problem has to do with improving data reuse. Alter your algorithms to work on subsets of your data that do fit in available cache, and reuse that data as much as possible while it is still in the cache.
Packing data tighter and making sure you use all data in cache lines in the hot loops, will help avoid these other effects, and allow fitting more useful data in the cache.
What hardware are you running on? Can you use platform-specific optimizations (like vectorization)?
Can you get a better compiler? E.g. switch from GCC to Intel?
Can you make your algorithm run in parallel?
Can you reduce cache misses by reorganizing data?
Can you disable asserts?
Micro-optimize for your compiler and platform. In the style of, "at an if/else, put the most common statement first"
Although I like Mike Dunlavey's answer, in fact it is a great answer indeed with supporting example, I think it could be expressed very simply thus:
Find out what takes the largest amounts of time first, and understand why.
It is the identification process of the time hogs that helps you understand where you must refine your algorithm. This is the only all-encompassing language agnostic answer I can find to a problem that's already supposed to be fully optimised. Also presuming you want to be architecture independent in your quest for speed.
So while the algorithm may be optimised, the implementation of it may not be. The identification allows you to know which part is which: algorithm or implementation. So whichever hogs the time the most is your prime candidate for review. But since you say you want to squeeze the last few % out, you might want to also examine the lesser parts, the parts that you have not examined that closely at first.
Lastly a bit of trial and error with performance figures on different ways to implement the same solution, or potentially different algorithms, can bring insights that help identify time wasters and time savers.
HPH,
asoudmove.
You should probably consider the "Google perspective", i.e. determine how your application can become largely parallelized and concurrent, which will inevitably also mean at some point to look into distributing your application across different machines and networks, so that it can ideally scale almost linearly with the hardware that you throw at it.
On the other hand, the Google folks are also known for throwing lots of manpower and resources at solving some of the issues in projects, tools and infrastructure they are using, such as for example whole program optimization for gcc by having a dedicated team of engineers hacking gcc internals in order to prepare it for Google-typical use case scenarios.
Similarly, profiling an application no longer means to simply profile the program code, but also all its surrounding systems and infrastructure (think networks, switches, server, RAID arrays) in order to identify redundancies and optimization potential from a system's point of view.
Inline routines (eliminate call/return and parameter pushing)
Try eliminating tests/switches with table look ups (if they're faster)
Unroll loops (Duff's device) to the point where they just fit in the CPU cache
Localize memory access so as not to blow your cache
Localize related calculations if the optimizer isn't already doing that
Eliminate loop invariants if the optimizer isn't already doing that
When you get to the point that you're using efficient algorithms its a question of what you need more speed or memory. Use caching to "pay" in memory for more speed or use calculations to reduce the memory footprint.
If possible (and more cost effective) throw hardware at the problem - faster CPU, more memory or HD could solve the problem faster then trying to code it.
Use parallelization if possible - run part of the code on multiple threads.
Use the right tool for the job. some programing languages create more efficient code, using managed code (i.e. Java/.NET) speed up development but native programing languages creates faster running code.
Micro optimize. Only were applicable you can use optimized assembly to speed small pieces of code, using SSE/vector optimizations in the right places can greatly increase performance.
Divide and conquer
If the dataset being processed is too large, loop over chunks of it. If you've done your code right, implementation should be easy. If you have a monolithic program, now you know better.
First of all, as mentioned in several prior answers, learn what bites your performance - is it memory or processor or network or database or something else. Depending on that...
...if it's memory - find one of the books written long time ago by Knuth, one of "The Art of Computer Programming" series. Most likely it's one about sorting and search - if my memory is wrong then you'll have to find out in which he talks about how to deal with slow tape data storage. Mentally transform his memory/tape pair into your pair of cache/main memory (or in pair of L1/L2 cache) respectively. Study all the tricks he describes - if you don's find something that solves your problem, then hire professional computer scientist to conduct a professional research. If your memory issue is by chance with FFT (cache misses at bit-reversed indexes when doing radix-2 butterflies) then don't hire a scientist - instead, manually optimize passes one-by-one until you're either win or get to dead end. You mentioned squeeze out up to the last few percent right? If it's few indeed you'll most likely win.
...if it's processor - switch to assembly language. Study processor specification - what takes ticks, VLIW, SIMD. Function calls are most likely replaceable tick-eaters. Learn loop transformations - pipeline, unroll. Multiplies and divisions might be replaceable / interpolated with bit shifts (multiplies by small integers might be replaceable with additions). Try tricks with shorter data - if you're lucky one instruction with 64 bits might turn out replaceable with two on 32 or even 4 on 16 or 8 on 8 bits go figure. Try also longer data - eg your float calculations might turn out slower than double ones at particular processor. If you have trigonometric stuff, fight it with pre-calculated tables; also keep in mind that sine of small value might be replaced with that value if loss of precision is within allowed limits.
...if it's network - think of compressing data you pass over it. Replace XML transfer with binary. Study protocols. Try UDP instead of TCP if you can somehow handle data loss.
...if it's database, well, go to any database forum and ask for advice. In-memory data-grid, optimizing query plan etc etc etc.
HTH :)
Caching! A cheap way (in programmer effort) to make almost anything faster is to add a caching abstraction layer to any data movement area of your program. Be it I/O or just passing/creation of objects or structures. Often it's easy to add caches to factory classes and reader/writers.
Sometimes the cache will not gain you much, but it's an easy method to just add caching all over and then disable it where it doesn't help. I've often found this to gain huge performance without having to micro-analyse the code.
I think this has already been said in a different way. But when you're dealing with a processor intensive algorithm, you should simplify everything inside the most inner loop at the expense of everything else.
That may seem obvious to some, but it's something I try to focus on regardless of the language I'm working with. If you're dealing with nested loops, for example, and you find an opportunity to take some code down a level, you can in some cases drastically speed up your code. As another example, there are the little things to think about like working with integers instead of floating point variables whenever you can, and using multiplication instead of division whenever you can. Again, these are things that should be considered for your most inner loop.
Sometimes you may find benefit of performing your math operations on an integer inside the inner loop, and then scaling it down to a floating point variable you can work with afterwards. That's an example of sacrificing speed in one section to improve the speed in another, but in some cases the pay off can be well worth it.
I've spent some time working on optimising client/server business systems operating over low-bandwidth and long-latency networks (e.g. satellite, remote, offshore), and been able to achieve some dramatic performance improvements with a fairly repeatable process.
Measure: Start by understanding the network's underlying capacity and topology. Talking to the relevant networking people in the business, and make use of basic tools such as ping and traceroute to establish (at a minimum) the network latency from each client location, during typical operational periods. Next, take accurate time measurements of specific end user functions that display the problematic symptoms. Record all of these measurements, along with their locations, dates and times. Consider building end-user "network performance testing" functionality into your client application, allowing your power users to participate in the process of improvement; empowering them like this can have a huge psychological impact when you're dealing with users frustrated by a poorly performing system.
Analyze: Using any and all logging methods available to establish exactly what data is being transmitted and received during the execution of the affected operations. Ideally, your application can capture data transmitted and received by both the client and the server. If these include timestamps as well, even better. If sufficient logging isn't available (e.g. closed system, or inability to deploy modifications into a production environment), use a network sniffer and make sure you really understand what's going on at the network level.
Cache: Look for cases where static or infrequently changed data is being transmitted repetitively and consider an appropriate caching strategy. Typical examples include "pick list" values or other "reference entities", which can be surprisingly large in some business applications. In many cases, users can accept that they must restart or refresh the application to update infrequently updated data, especially if it can shave significant time from the display of commonly used user interface elements. Make sure you understand the real behaviour of the caching elements already deployed - many common caching methods (e.g. HTTP ETag) still require a network round-trip to ensure consistency, and where network latency is expensive, you may be able to avoid it altogether with a different caching approach.
Parallelise: Look for sequential transactions that don't logically need to be issued strictly sequentially, and rework the system to issue them in parallel. I dealt with one case where an end-to-end request had an inherent network delay of ~2s, which was not a problem for a single transaction, but when 6 sequential 2s round trips were required before the user regained control of the client application, it became a huge source of frustration. Discovering that these transactions were in fact independent allowed them to be executed in parallel, reducing the end-user delay to very close to the cost of a single round trip.
Combine: Where sequential requests must be executed sequentially, look for opportunities to combine them into a single more comprehensive request. Typical examples include creation of new entities, followed by requests to relate those entities to other existing entities.
Compress: Look for opportunities to leverage compression of the payload, either by replacing a textual form with a binary one, or using actual compression technology. Many modern (i.e. within a decade) technology stacks support this almost transparently, so make sure it's configured. I have often been surprised by the significant impact of compression where it seemed clear that the problem was fundamentally latency rather than bandwidth, discovering after the fact that it allowed the transaction to fit within a single packet or otherwise avoid packet loss and therefore have an outsize impact on performance.
Repeat: Go back to the beginning and re-measure your operations (at the same locations and times) with the improvements in place, record and report your results. As with all optimisation, some problems may have been solved exposing others that now dominate.
In the steps above, I focus on the application related optimisation process, but of course you must ensure the underlying network itself is configured in the most efficient manner to support your application too. Engage the networking specialists in the business and determine if they're able to apply capacity improvements, QoS, network compression, or other techniques to address the problem. Usually, they will not understand your application's needs, so it's important that you're equipped (after the Analyse step) to discuss it with them, and also to make the business case for any costs you're going to be asking them to incur. I've encountered cases where erroneous network configuration caused the applications data to be transmitted over a slow satellite link rather than an overland link, simply because it was using a TCP port that was not "well known" by the networking specialists; obviously rectifying a problem like this can have a dramatic impact on performance, with no software code or configuration changes necessary at all.
Very difficult to give a generic answer to this question. It really depends on your problem domain and technical implementation. A general technique that is fairly language neutral: Identify code hotspots that cannot be eliminated, and hand-optimize assembler code.
Last few % is a very CPU and application dependent thing....
cache architectures differ, some chips have on-chip RAM
you can map directly, ARM's (sometimes) have a vector
unit, SH4's a useful matrix opcode. Is there a GPU -
maybe a shader is the way to go. TMS320's are very
sensitive to branches within loops (so separate loops and
move conditions outside if possible).
The list goes on.... But these sorts of things really are
the last resort...
Build for x86, and run Valgrind/Cachegrind against the code
for proper performance profiling. Or Texas Instruments'
CCStudio has a sweet profiler. Then you'll really know where
to focus...
Not nearly as in depth or complex as previous answers, but here goes:
(these are more beginner/intermediate level)
obvious: dry
run loops backwards so you're always comparing to 0 rather than a variable
use bitwise operators whenever you can
break repetitive code into modules/functions
cache objects
local variables have slight performance advantage
limit string manipulation as much as possible
Did you know that a CAT6 cable is capable of 10x better shielding off external inteferences than a default Cat5e UTP cable?
For any non-offline projects, while having best software and best hardware, if your throughoutput is weak, then that thin line is going to squeeze data and give you delays, albeit in milliseconds...
Also the maximum throughput is higher on CAT6 cables because there is a higher chance that you will actually receive a cable whose strands exist of cupper cores, instead of CCA, Cupper Cladded Aluminium, which is often fount in all your standard CAT5e cables.
I if you are facing lost packets, packet drops, then an increase in throughput reliability for 24/7 operation can make the difference that you may be looking for.
For those who seek the ultimate in home/office connection reliability, (and are willing to say NO to this years fastfood restaurants, at the end of the year you can there you can) gift yourself the pinnacle of LAN connectivity in the form of CAT7 cable from a reputable brand.
Impossible to say. It depends on what the code looks like. If we can assume that the code already exists, then we can simply look at it and figure out from that, how to optimize it.
Better cache locality, loop unrolling, Try to eliminate long dependency chains, to get better instruction-level parallelism. Prefer conditional moves over branches when possible. Exploit SIMD instructions when possible.
Understand what your code is doing, and understand the hardware it's running on. Then it becomes fairly simple to determine what you need to do to improve performance of your code. That's really the only truly general piece of advice I can think of.
Well, that, and "Show the code on SO and ask for optimization advice for that specific piece of code".
If better hardware is an option then definitely go for that. Otherwise
Check you are using the best compiler and linker options.
If hotspot routine in different library to frequent caller, consider moving or cloning it to the callers module. Eliminates some of the call overhead and may improve cache hits (cf how AIX links strcpy() statically into separately linked shared objects). This could of course decrease cache hits also, which is why one measure.
See if there is any possibility of using a specialized version of the hotspot routine. Downside is more than one version to maintain.
Look at the assembler. If you think it could be better, consider why the compiler did not figure this out, and how you could help the compiler.
Consider: are you really using the best algorithm? Is it the best algorithm for your input size?
The google way is one option "Cache it.. Whenever possible don't touch the disk"
Here are some quick and dirty optimization techniques I use. I consider this to be a 'first pass' optimization.
Learn where the time is spent Find out exactly what is taking the time. Is it file IO? Is it CPU time? Is it the network? Is it the Database? It's useless to optimize for IO if that's not the bottleneck.
Know Your Environment Knowing where to optimize typically depends on the development environment. In VB6, for example, passing by reference is slower than passing by value, but in C and C++, by reference is vastly faster. In C, it is reasonable to try something and do something different if a return code indicates a failure, while in Dot Net, catching exceptions are much slower than checking for a valid condition before attempting.
Indexes Build indexes on frequently queried database fields. You can almost always trade space for speed.
Avoid lookups Inside of the loop to be optimized, I avoid having to do any lookups. Find the offset and/or index outside of the loop and reuse the data inside.
Minimize IO try to design in a manner that reduces the number of times you have to read or write especially over a networked connection
Reduce Abstractions The more layers of abstraction the code has to work through, the slower it is. Inside the critical loop, reduce abstractions (e.g. reveal lower-level methods that avoid extra code)
Spawn Threads for projects with a user interface, spawning a new thread to preform slower tasks makes the application feel more responsive, although isn't.
Pre-process You can generally trade space for speed. If there are calculations or other intense operations, see if you can precompute some of the information before you're in the critical loop.
If you have a lot of highly parallel floating point math-especially single-precision-try offloading it to a graphics processor (if one is present) using OpenCL or (for NVidia chips) CUDA. GPUs have immense floating point computing power in their shaders, which is much greater than that of a CPU.
Adding this answer since I didnt see it included in all the others.
Minimize implicit conversion between types and sign:
This applies to C/C++ at least, Even if you already think you're free of conversions - sometimes its good to test adding compiler warnings around functions that require performance, especially watch-out for conversions within loops.
GCC spesific: You can test this by adding some verbose pragmas around your code,
#ifdef __GNUC__
# pragma GCC diagnostic push
# pragma GCC diagnostic error "-Wsign-conversion"
# pragma GCC diagnostic error "-Wdouble-promotion"
# pragma GCC diagnostic error "-Wsign-compare"
# pragma GCC diagnostic error "-Wconversion"
#endif
/* your code */
#ifdef __GNUC__
# pragma GCC diagnostic pop
#endif
I've seen cases where you can get a few percent speedup by reducing conversions raised by warnings like this.
In some cases I have a header with strict warnings that I keep included to prevent accidental conversions, however this is a trade-off since you may end up adding a lot of casts to quiet intentional conversions which may just make the code more cluttered for minimal gains.
Sometimes changing the layout of your data can help. In C, you might switch from an array or structures to a structure of arrays, or vice versa.
Tweak the OS and framework.
It may sound an overkill but think about it like this: Operating Systems and Frameworks are designed to do many things. Your application only does very specific things. If you could get the OS do to exactly what your application needs and have your application understand how the the framework (php,.net,java) works, you could get much better out of your hardware.
Facebook, for example, changed some kernel level thingys in Linux, changed how memcached works (for example they wrote a memcached proxy, and used udp instead of tcp).
Another example for this is Window2008. Win2K8 has a version were you can install just the basic OS needed to run X applicaions (e.g. Web-Apps, Server Apps). This reduces much of the overhead that the OS have on running processes and gives you better performance.
Of course, you should always throw in more hardware as the first step...

Optimization! - What is it? How is it done?

Its common to hear about "highly optimized code" or some developer needing to optimize theirs and whatnot. However, as a self-taught, new programmer I've never really understood what exactly do people mean when talking about such things.
Care to explain the general idea of it? Also, recommend some reading materials and really whatever you feel like saying on the matter. Feel free to rant and preach.
Optimize is a term we use lazily to mean "make something better in a certain way". We rarely "optimize" something - more, we just improve it until it meets our expectations.
Optimizations are changes we make in the hopes to optimize some part of the program. A fully optimized program usually means that the developer threw readability out the window and has recoded the algorithm in non-obvious ways to minimize "wall time". (It's not a requirement that "optimized code" be hard to read, it's just a trend.)
One can optimize for:
Memory consumption - Make a program or algorithm's runtime size smaller.
CPU consumption - Make the algorithm computationally less intensive.
Wall time - Do whatever it takes to make something faster
Readability - Instead of making your app better for the computer, you can make it easier for humans to read it.
Some common (and overly generalized) techniques to optimize code include:
Change the algorithm to improve performance characteristics. If you have an algorithm that takes O(n^2) time or space, try to replace that algorithm with one that takes O(n * log n).
To relieve memory consumption, go through the code and look for wasted memory. For example, if you have a string intensive app you can switch to using Substring References (where a reference contains a pointer to the string, plus indices to define its bounds) instead of allocating and copying memory from the original string.
To relieve CPU consumption, cache as many intermediate results if you can. For example, if you need to calculate the standard deviation of a set of data, save that single numerical result instead looping through the set each time you need to know the std dev.
I'll mostly rant with no practical advice.
Measure First. Optimization should be done to places where it matters. Highly optimized code is often difficult to maintain and a source of problems. In places where the code does not slow down execution anyway, I alwasy prefer maintainability to optimizations. Familiarize yourself with Profiling, both intrusive (instrumented) and non-intrusive (low overhead statistical). Learn to read a profiled stack, understand where the time inclusive/time exclusive is spent, why certain patterns show up and how to identify the trouble spots.
You can't fix what you cannot measure. Have your program report through some performance infrastructure the thing it does and the times it takes. I come from a Win32 background so I'm used to the Performance Counters and I'm extremely generous at sprinkling them all over my code. I even automatized the code to generate them.
And finally some words about optimizations. Most discussion about optimization I see focus on stuff any compiler will optimize for you for free. In my experience the greatest source of gains for 'highly optimized code' lies completely elsewhere: memory access. On modern architectures the CPU is idling most of the times, waiting for memory to be served into its pipelines. Between L1 and L2 cache misses, TLB misses, NUMA cross-node access and even GPF that must fetch the page from disk, the memory access pattern of a modern application is the single most important optimization one can make. I'm exaggerating slightly, of course there will be counter example work-loads that will not benefit memory access locality this techniques. But most application will. To be specific, what these techniques mean is simple: cluster your data in memory so that a single CPU can work an a tight memory range containing all it needs, no expensive referencing of memory outside your cache lines or your current page. In practice this can mean something as simple as accessing an array by rows rather than by columns.
I would recommend you read up the Alpha-Sort paper presented at the VLDB conference in 1995. This paper presented how cache sensitive algorithms designed specifically for modern CPU architectures can blow out of the water the old previous benchmarks:
We argue that modern architectures
require algorithm designers to
re-examine their use of the memory
hierarchy. AlphaSort uses clustered
data structures to get good cache
locality...
The general idea is that when you create your source tree in the compilation phase, before generating the code by parsing it, you do an additional step (optimization) where, based on certain heuristics, you collapse branches together, delete branches that aren't used or add extra nodes for temporary variables that are used multiple times.
Think of stuff like this piece of code:
a=(b+c)*3-(b+c)
which gets translated into
-
* +
+ 3 b c
b c
To a parser it would be obvious that the + node with its 2 descendants are identical, so they would be merged into a temp variable, t, and the tree would be rewritten:
-
* t
t 3
Now an even better parser would see that since t is an integer, the tree could be further simplified to:
*
t 2
and the intermediary code that you'd run your code generation step on would finally be
int t=b+c;
a=t*2;
with t marked as a register variable, which is exactly what would be written for assembly.
One final note: you can optimize for more than just run time speed. You can also optimize for memory consumption, which is the opposite. Where unrolling loops and creating temporary copies would help speed up your code, they would also use more memory, so it's a trade off on what your goal is.
Here is an example of some optimization (fixing a poorly made decision) that I did recently. Its very basic, but I hope it illustrates that good gains can be made even from simple changes, and that 'optimization' isn't magic, its just about making the best decisions to accomplish the task at hand.
In an application I was working on there were several LinkedList data structures that were being used to hold various instances of foo.
When the application was in use it was very frequently checking to see if the LinkedListed contained object X. As the ammount of X's started to grow, I noticed that the application was performing more slowly than it should have been.
I ran an profiler, and realized that each 'myList.Contains(x)' call had O(N) because the list has to iterate through each item it contains until it reaches the end or finds a match. This was definitely not efficent.
So what did I do to optimize this code? I switched most of the LinkedList datastructures to HashSets, which can do a '.Contains(X)' call in O(1)- much better.
This is a good question.
Usually the best practice is 1) just write the code to do what you need it to do, 2) then deal with performance, but only if it's an issue. If the program is "fast enough" it's not an issue.
If the program is not fast enough (like it makes you wait) then try some performance tuning. Performance tuning is not like programming. In programming, you think first and then do something. In performance tuning, thinking first is a mistake, because that is guessing.
Don't guess what to fix; diagnose what the program is doing.
Everybody knows that, but mostly they do it anyway.
It is natural to say "Could be the problem is X, Y, or Z" but only the novice acts on guesses. The pro says "but I'm probably wrong".
There are different ways to diagnose performance problems.
The simplest is just to single-step through the program at the assembly-language level, and don't take any shortcuts. That way, if the program is doing unnecessary things, then you are doing the same things, and it will become painfully obvious.
Another is to get a profiling tool, and as others say, measure, measure, measure.
Personally I don't care for measuring. I think it's a fuzzy microscope for the purpose of pinpointing performance problems. I prefer this method, and this is an example of its use.
Good luck.
ADDED: I think you will find, if you go through this exercise a few times, you will learn what coding practices tend to result in performance problems, and you will instinctively avoid them. (This is subtly different from "premature optimization", which is assuming at the beginning that you must be concerned about performance. In fact, you will probably learn, if you don't already know, that premature concern about performance can well cause the very problem it seeks to avoid.)
Optimizing a program means: make it run faster
The only way of making the program faster is making it do less:
find an algorithm that uses fewer operations (e.g. N log N instead of N^2)
avoid slow components of your machine (keep objects in cache instead of in main memory, or in main memory instead of on disk); reducing memory consumption nearly always helps!
Further rules:
In looking for optimization opportunities, adhere to the 80-20-rule: 20% of typical program code accounts for 80% of execution time.
Measure the time before and after every attempted optimization; often enough, optimizations don't.
Only optimize after the program runs correctly!
Also, there are ways to make a program appear to be faster:
separate GUI event processing from back-end tasks; priorize user-visible changes against back-end calculation to keep the front-end "snappy"
give the user something to read while performing long operations (every noticed the slideshows displayed by installers?)
However, as a self-taught, new programmer I've never really understood what exactly do people mean when talking about such things.
Let me share a secret with you: nobody does. There are certain areas where we know mathematically what is and isn't slow. But for the most part, performance is too complicated to be able to understand. If you speed up one part of your code, there's a good possibility you're slowing down another.
Therefore, anyone who tells you that one method is faster than another, there's a good possibility they're just guessing unless one of three things are true:
They have data
They're choosing an algorithm that they know is faster mathematically.
They're choosing a data structure that they know is faster mathematically.
Optimization means trying to improve computer programs for such things as speed. The question is very broad, because optimization can involve compilers improving programs for speed, or human beings doing the same.
I suggest you read a bit of theory first (from books, or Google for lecture slides):
Data structures and algorithms - what the O() notation is, how to calculate it,
what datastructures and algorithms can be used to lower the O-complexity
Book: Introduction to Algorithms by Thomas H. Cormen, Charles E. Leiserson, and Ronald L. Rivest
Compilers and assembly - how code is translated to machine instructions
Computer architecture - how the CPU, RAM, Cache, Branch predictions, out of order execution ... work
Operating systems - kernel mode, user mode, scheduling processes/threads, mutexes, semaphores, message queues
After reading a bit of each, you should have a basic grasp of all the different aspects of optimization.
Note: I wiki-ed this so people can add book recommendations.
I am going with the idea that optimizing a code is to get the same results in less time. And fully optimized only means they ran out of ideas to make it faster. I throw large buckets of scorn on claims of "fully optimized" code! There's no such thing.
So you want to make your application/program/module run faster? First thing to do (as mentioned earlier) is measure also known as profiling. Do not guess where to optimize. You are not that smart and you will be wrong. My guesses are wrong all the time and large portions of my year are spent profiling and optimizing. So get the computer to do it for you. For PC VTune is a great profiler. I think VS2008 has a built in profiler, but I haven't looked into it. Otherwise measure functions and large pieces of code with performance counters. You'll find sample code for using performance counters on MSDN.
So where are your cycles going? You are probably waiting for data coming from main memory. Go read up on L1 & L2 caches. Understanding how the cache works is half the battle. Hint: Use tight, compact structures that will fit more into a cache-line.
Optimization is lots of fun. And it's never ending too :)
A great book on optimization is Write Great Code: Understanding the Machine by Randall Hyde.
Make sure your application produces correct results before you start optimizing it.

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