When should we use prefetch?

This question isn't really about compilers as they're just providing some hook to insert prefetch instructions into your assembly code / binary. Different compilers may provide different intrinsic formats but you can just ignore all these and (carefully) add it directly in assembly code.

Now the real question seems to be "when are prefetches useful", and the answer is - in any scenario where youre bounded on memory latency, and the access pattern isn't regular and distinguishable for the HW prefetch to capture (organized in a stream or strides), or when you suspect there are too many different streams for the HW to track simultaneously.
Most compilers would only very seldom insert their own prefetches for you, so it's basically up to you to play with your code and benchmark how prefetches could be useful.

The link by @Mysticial shows a nice example, but here's a more straight forward one that I think can't be caught by HW:

#include "stdio.h"
#include "sys/timeb.h"
#include "emmintrin.h"

#define N 4096
#define REP 200
#define ELEM int

int main() {
    int i,j, k, b;
    const int blksize = 64 / sizeof(ELEM);
    ELEM __attribute ((aligned(4096))) a[N][N];
    for (i = 0; i < N; ++i) {
        for (j = 0; j < N; ++j) {
            a[i][j] = 1;
        }
    }
    unsigned long long int sum = 0;
    struct timeb start, end;
    unsigned long long delta;

    ftime(&start);
    for (k = 0; k < REP; ++k) {
        for (i = 0; i < N; ++i) {
            for (j = 0; j < N; j ++) {
                sum += a[i][j];
            }
        }
    }
    ftime(&end);
    delta = (end.time * 1000 + end.millitm) - (start.time * 1000 + start.millitm);
    printf ("Prefetching off: N=%d, sum=%lld, time=%lld\n", N, sum, delta); 

    ftime(&start);
    sum = 0;
    for (k = 0; k < REP; ++k) {
        for (i = 0; i < N; ++i) {
            for (j = 0; j < N; j += blksize) {
                for (b = 0; b < blksize; ++b) {
                    sum += a[i][j+b];
                }
                _mm_prefetch(&a[i+1][j], _MM_HINT_T2);
            }
        }
    }
    ftime(&end);
    delta = (end.time * 1000 + end.millitm) - (start.time * 1000 + start.millitm);
    printf ("Prefetching on:  N=%d, sum=%lld, time=%lld\n", N, sum, delta); 
}

What I do here is traverse each matrix line (enjoying the HW prefetcher help with the consecutive lines), but prefetch ahead the element with the same column index from the next line that resides in a different page (which the HW prefetch should be hard pressed to catch). I sum the data just so that it's not optimized away, the important thing is that I basically just loop over a matrix, should have been pretty straightforward and simple to detect, and yet still get a speedup.

Built with gcc 4.8.1 -O3, it gives me an almost 20% boost on an Intel Xeon X5670:

Prefetching off: N=4096, sum=3355443200, time=1839
Prefetching on:  N=4096, sum=3355443200, time=1502

Note that the speedup is received even though I made the control flow more complicated (extra loop nesting level), the branch predictor should easily catch the pattern of that short block-size loop, and it saves execution of unneeded prefetches.

Note that Ivybridge and onward on should have a "next-page prefetcher", so the HW may be able to mitigate that on these CPUs (if anyone has one available and cares to try i'll be happy to know). In that case i'd modify the benchmark to sum every second line (and the prefetch would look ahead two lines everytime), that should confuse the hell out of the HW prefetchers.

Skylake results

Here are some results from a Skylake i7-6700-HQ, running at 2.6 GHz (no turbo) with gcc:

Compile flags: -O3 -march=native

Prefetching off: N=4096, sum=28147495993344000, time=896
Prefetching on:  N=4096, sum=28147495993344000, time=1222
Prefetching off: N=4096, sum=28147495993344000, time=886
Prefetching on:  N=4096, sum=28147495993344000, time=1291
Prefetching off: N=4096, sum=28147495993344000, time=890
Prefetching on:  N=4096, sum=28147495993344000, time=1234
Prefetching off: N=4096, sum=28147495993344000, time=848
Prefetching on:  N=4096, sum=28147495993344000, time=1220
Prefetching off: N=4096, sum=28147495993344000, time=852
Prefetching on:  N=4096, sum=28147495993344000, time=1253

Compile flags: -O2 -march=native

Prefetching off: N=4096, sum=28147495993344000, time=1955
Prefetching on:  N=4096, sum=28147495993344000, time=1813
Prefetching off: N=4096, sum=28147495993344000, time=1956
Prefetching on:  N=4096, sum=28147495993344000, time=1814
Prefetching off: N=4096, sum=28147495993344000, time=1955
Prefetching on:  N=4096, sum=28147495993344000, time=1811
Prefetching off: N=4096, sum=28147495993344000, time=1961
Prefetching on:  N=4096, sum=28147495993344000, time=1811
Prefetching off: N=4096, sum=28147495993344000, time=1965
Prefetching on:  N=4096, sum=28147495993344000, time=1814

So using prefetch is either about 40% slower, or 8% faster depending on if you use -O3 or -O2 respectively for this particular example. The big slowdown for -O3 is actually due to a code generation quirk: at -O3 the loop without prefetch is vectorized, but the extra complexity of the prefetch variant loop prevents vectorization on my version of gcc anyway.

So the -O2 results are probably more apples-to-apples, and the benefit is about half (8% speedup vs 16%) of what we saw on Leeor's Westmere. Still it's worth noting that you have to be careful not to change code generation such that you get a big slowdown.

This test probably isn't ideal in that by going int by int implies a lot of CPU overhead rather than stressing the memory subsystem (that's why vectorization helped so much).



Here's a brief summary of cases that I'm aware of in which software prefetching may prove especially useful. Some may not apply to all hardware.

This list should be read from the point of view that the most obvious place software prefetches could be used is where the stream of accesses can be predicted in software, and yet this case isn't necessarily such an obvious win for SW prefetch because out-of-order processing often ends up having a similar effect since it can execute behind existing misses in order to get more misses in flight.

So this list is more a "in light of the fact that SW prefetch isn't as obviously useful as it might first seem, here are some places it might still be useful anyways", often compared to the alternative of either just letting out-of-order processing do its thing or just using "plain loads" to load some values before they are needed.

Fitting more loads in the out-of-order window

Although out-of-order processing can potentially expose the same type of MLP (Memory-Level Parallelism) as software prefetches, there are limits inherent to the total possible lookahead distance after a cache miss. These include reorder-buffer capacity, load buffer capacity, scheduler capacity and so on. See this blog post for an example of where extra work seriously hinders MLP because the CPU can't run ahead far enough to get enough loads executing at once.

In this case, software prefetch allows you to effectively stuff more loads earlier in the instruction stream. As an example, imagine you have a loop which performs one load and then 20 instructions worth of work on the loaded data, and your CPU has an out-of-order buffer of 100 instructions and that loads are independent from each other (e.g,. accessing an array with a known stride).

After the first miss, you can run ahead 99 more instructions which will be composed of 95 non-load and 5 load instructions (including the first load). So your MLP is inherently limited to 5 by the size of the out-of-order buffer. If instead you paired every load with two software prefetches to a location say 6 or more iterations ahead, you'd end up instead with 90 non-load instructions, 5 loads and 5 software prefetches and since all those loads are you just doubled your MLP to 102.

There is of course no limit of one additional prefetch per load: you could add more to hit higher numbers, but there is a point of diminishing and then negative returns as you hit the MLP limits of your machine and the prefetches take up resources you'd rather spend on other things.

This is similar to software pipelining, where you load data for a future iteration, and then don't touch that register until after a significant amount of other work. This was mostly used on in-order machines to hide latency of computation as well as memory. Even on a RISC with 32 architectural registers, software-pipelining typically can't place the loads as far ahead of use as an optimal prefetch-distance on a modern machine; the amount of work a CPU can do during one memory latency has grown a lot since the early days of in-order RISCs.

In-order machines

Not all machines are bit out-of-order cores: in-order CPUs are still common in some places (especially outside x86), and you'll also find "weak" out of order cores that don't have the capability to run ahead very far and so partly act like in-order machines.

On these machines software prefetches may help gain MLP that you wouldn't otherwise be able access (of course, an in-order machine probably doesn't support a lot of inherent MLP otherwise).

Working around hardware prefetch restrictions

Hardware prefetch may have restrictions which you could work around using software prefetch.

For example, Leeor's answer has an example of hardware prefetch stopping at page boundaries, while software prefetch doesn't have any such restriction.

Another example might be any time that hardware prefetch is too aggressive or too conservative (after all it has to guess at your intentions): you might use software prefetch instead since you know exactly how your application will behave.

Examples of the latter include prefetching discontiguous areas: such as rows in a sub-matrix of a larger matrix: hardware prefetch won't understand the boundaries of the "rectangular" region and will constantly prefetch beyond the end of each row, and then take a bit of time to pick up the new row pattern. Software prefetching can get this exactly right: never issuing any useless prefetches at all (but it often requires ugly splitting of loops).

If you do enough software prefetches, the hardware prefeteches should in theory mostly shut down, because the activity of the memory subsystem is one heuristic they use to decide whether to activate.

Counterpoint

I should note here that software prefetching is not equivalent to hardware prefetching when it comes to possible speedups for cases the hardware prefetching can pick up: hardware prefetching can be considerably faster. That is because hardware prefetching can start working closer to memory (e.g., from the L2) where it has a lower latency to memory and also access to more buffers (in the so-called "superqueue" on Intel chips) and so more concurrency. So if you turn off hardware prefetching and try to implement a memcpy or some other streaming load with pure software prefetching, you'll find that it is likely slower.

Special load hints

Prefetching may give you access to special hints that you can't achieve with regular loads. For example x86 has the prefetchnta, prefetcht0, prefetcht1, and prefetchw instructions which hint to the processor how to treat the loaded data in the caching subsystem. You can't achieve the same effect with plain loads (at least on x86).


2 It's not actually as simple as just adding a single prefetch to the loop, since after the first five iterations, the loads will start hitting already prefetched values, reducing your MLP back to 5 - but the idea still holds. A real implementation would also involve reorganizing the loop so that the MLP can be sustained (e.g., "jamming" the loads and prefetches together every few iterations).


On recent Intel chips one reason you apparently might want to use prefetching is to avoid CPU power-saving features artificially limiting your achieved memory bandwidth. In this scenario, simple prefetching can as much as double your performance versus the same code without prefetching, but it depends entirely on the selected power management plan.

I ran a simplified version (code here)of the test in Leeor's answer, which stresses the memory subsystem a bit more (since that's where prefetch will help, hurt or do nothing). The original test stressed the CPU in parallel with the memory subsystem since it added together every int on each cache line. Since typical memory read bandwidth is in the region of 15 GB/s, that's 3.75 billion integers per second, putting a pretty hard cap on the maximum speed (code that isn't vectorized will usually process 1 int or less per cycle, so a 3.75 GHz CPU will be about equally CPU and memory bount).

First, I got results that seemed to show prefetching kicking butt on my i7-6700HQ (Skylake):

Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=221, MiB/s=11583
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=153, MiB/s=16732
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=221, MiB/s=11583
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=160, MiB/s=16000
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=204, MiB/s=12549
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=160, MiB/s=16000
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=200, MiB/s=12800
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=160, MiB/s=16000
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=201, MiB/s=12736
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=157, MiB/s=16305
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=197, MiB/s=12994
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=157, MiB/s=16305

Eyeballing the numbers, prefetch achieves something a bit above 16 GiB/s and without only about 12.5, so prefetch is increasing speed by about 30%. Right?

Not so fast. Remembering that the powersaving mode has all sorts of wonderful interactions on modern chips, I changed my Linux CPU governor to performance from the default of powersave1. Now I get:

Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=155, MiB/s=16516
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=157, MiB/s=16305
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=153, MiB/s=16732
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=144, MiB/s=17777
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=144, MiB/s=17777
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=153, MiB/s=16732
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=152, MiB/s=16842
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=153, MiB/s=16732
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=153, MiB/s=16732
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=159, MiB/s=16100
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=163, MiB/s=15705
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=161, MiB/s=15900

It's a total toss-up. Both with and without prefetching seem to perform identically. So either hardware prefetching is less aggressive in the high powersaving modes, or there is some other interaction with power saving that behaves differently with the explicit software prefetches.

Investigation

In fact, the difference between prefetching and not is even more extreme if you change the benchark. The existing benchmark alternates between runs with prefetching on and off, and it turns out that this helped the "off" variant because the speed increase which occurs in the "on" test partly carries over to the subsequent off test2. If you run only the "off" test you get results around 9 GiB/s:

Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=280, MiB/s=9142
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=277, MiB/s=9241
Prefetching off: SIZE=256 MiB, sum=1407374589952000, time=285, MiB/s=8982

... versus about 17 GiB/s for the prefetching version:

Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=149, MiB/s=17181
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=148, MiB/s=17297
Prefetching  on: SIZE=256 MiB, sum=1407374589952000, time=148, MiB/s=17297

So the prefetching version is almost twice as fast.

Let's take a look at what's going on with perf stat, for both the **off* version:

Performance counter stats for './prefetch-test off':

   2907.485684      task-clock (msec)         #    1.000 CPUs utilized                                          
 3,197,503,204      cycles                    #    1.100 GHz                    
 2,158,244,139      instructions              #    0.67  insns per cycle        
   429,993,704      branches                  #  147.892 M/sec                  
        10,956      branch-misses             #    0.00% of all branches     

... and the on version:

   1502.321989      task-clock (msec)         #    1.000 CPUs utilized                          
 3,896,143,464      cycles                    #    2.593 GHz                    
 2,576,880,294      instructions              #    0.66  insns per cycle        
   429,853,720      branches                  #  286.126 M/sec                  
        11,444      branch-misses             #    0.00% of all branches

The difference is that the version with prefetching on consistently runs at the max non-turbo frequency of ~2.6 GHz (I have disabled turbo via an MSR). The version without prefetching, however, has decided to run at a much lower speed of 1.1 GHz. Such large CPU differences often also reflect a large difference in uncore frequency, which can explain the worse bandwdith.

Now we've seen this before, and it is probably an outcome of the Energy Efficient Turbo feature on recent Intel chips, which try to ramp down the CPU frequency when they determine a process is mostly memory bound, presumably since increased CPU core speed doesn't provide much benefit in those cases. As we can see here, this assumption isn't always true, but it isn't clear to me if the tradeoff is a bad one in general, or perhaps the heuristic only occasionally gets it wrong.


1 I'm running the intel_pstate driver, which is the default for Intel chips on recent kernels which implements "hardware p-states", also known as "HWP". Command used: sudo cpupower -c 0,1,2,3 frequency-set -g performance.

2 Conversely, the slowdown from the "off" test partly carries over into the "on" test, although the effect is less extreme, possibly because the powersaving "ramp up" behavior is faster than "ramp down".