Modern CPUs are complex beasts, using pipelining, superscalar execution, and out-of-order execution among other techniques which make performance analysis difficult... but not impossible!
While you can no longer simply add together the latencies of a stream of instructions to get the total runtime, you can still get a (often) highly accurate analysis of the behavior of some piece of code (especially a loop) as described below and in other linked resources.
Instruction Timings
First, you need the actual timings. These vary by CPU architecture, but the best resource currently for x86 timings is Agner Fog's instruction tables. Covering no less than thirty different microarchitecures, these tables list the instruction latency, which is the minimum/typical time that an instruction takes from inputs ready to output available. In Agner's words:
Latency: This is the delay that the instruction generates in a
dependency chain. The numbers are minimum values. Cache misses,
misalignment, and exceptions may increase the clock counts
considerably. Where hyperthreading is enabled, the use of the same
execution units in the other thread leads to inferior performance.
Denormal numbers, NAN's and infinity do not increase the latency. The
time unit used is core clock cycles, not the reference clock cycles
given by the time stamp counter.
So, for example, the add
instruction has a latency of one cycle, so a series of dependent add instructions, as shown, will have a latency of 1 cycle per add
:
add eax, eax
add eax, eax
add eax, eax
add eax, eax # total latency of 4 cycles for these 4 adds
Note that this doesn't mean that add
instructions will only take 1 cycle each. For example, if the add instructions were not dependent, it is possible that on modern chips all 4 add instructions can execute independently in the same cycle:
add eax, eax
add ebx, ebx
add ecx, ecx
add edx, edx # these 4 instructions might all execute, in parallel in a single cycle
Agner provides a metric which captures some of this potential parallelism, called reciprocal throughput:
Reciprocal throughput: The average number of core clock cycles per instruction for a series of independent instructions of the same kind
in the same thread.
For add
this is listed as 0.25
meaning that up to 4 add
instructions can execute every cycle (giving a reciprocal throughput of 1 / 4 = 0.25
).
The reciprocal throughput number also gives a hint at the pipelining capability of an instruction. For example, on most recent x86 chips, the common forms of the imul
instruction have a latency of 3 cycles, and internally only one execution unit can handle them (unlike add
which usually has four add-capable units). Yet the observed throughput for a long series of independent imul
instructions is 1/cycle, not 1 every 3 cycles as you might expect given the latency of 3. The reason is that the imul
unit is pipelined: it can start a new imul
every cycle, even while the previous multiplication hasn't completed.
This means a series of independent imul
instructions can run at up to 1 per cycle, but a series of dependent imul
instructions will run at only 1 every 3 cycles (since the next imul
can't start until the result from the prior one is ready).
So with this information, you can start to see how to analyze instruction timings on modern CPUs.
Detailed Analysis
Still, the above is only scratching the surface. You now have multiple ways of looking at a series of instructions (latency or throughput) and it may not be clear which to use.
Furthermore, there are other limits not captured by the above numbers, such as the fact that certain instructions compete for the same resources within the CPU, and restrictions in other parts of the CPU pipeline (such as instruction decoding) which may result in a lower overall throughput than you'd calculate just by looking at latency and throughput. Beyond that, you have factors "beyond the ALUs" such as memory access and branch prediction: entire topics unto themselves - you can mostly model these well, but it takes work. For example here's a recent post where the answer covers in some detail most of the relevant factors.
Covering all the details would increase the size of this already long answer by a factor of 10 or more, so I'll just point you to the best resources. Agner Fog has an Optimizing Asembly guide that covers in detail the precise analysis of a loop with a dozen or so instructions. See "12.7 An example of analysis for bottlenecks in vector loops" which starts on page 95 in the current version of the PDF.
The basic idea is that you create a table, with one row per instruction and mark the execution resources each uses. This lets you see any throughput bottlenecks. In addition, you need to examine the loop for carried dependencies, to see if any of those limit the throughput (see "12.16 Analyzing dependencies" for a complex case).
If you don't want to do it by hand, Intel has released the Intel Architecture Code Analyzer, which is a tool that automates this analysis. It currently hasn't been updated beyond Skylake, but the results are still largely reasonable for Kaby Lake since the microarchitecture hasn't changed much and therefore the timings remain comparable. This answer goes into a lot of detail and provides example output, and the user's guide isn't half bad (although it is out of date with respect to the newest versions).
Other sources
Agner usually provides timings for new architectures shortly after they are released, but you can also check out instlatx64 for similarly organized timings in the InstLatX86
and InstLatX64
results. The results cover a lot of interesting old chips, and new chips usually show up fairly quickly. The results are mostly consistent with Agner's, with a few exceptions here and there. You can also find memory latency and other values on this page.
You can even get the timing results directly from Intel in their IA32 and Intel 64 optimization manual in Appendix C: INSTRUCTION LATENCY AND THROUGHPUT. Personally I prefer Agner's version because they are more complete, often arrive before the Intel manual is updated, and are easier to use as they provide a spreadsheet and PDF version.
Finally, the x86 tag wiki has a wealth of resources on x86 optimization, including links to other examples of how to do a cycle accurate analysis of code sequences.
If you want a deeper look into the type of "dataflow analysis" described above, I would recommend A Whirlwind Introduction to Data Flow Graphs.
xchg
with memory has an implicitlock
prefix. All other instructions need alock
prefix to be atomic with respect to observation by other CPUs, but the non-lock
ed version can be useful on uniprocessor systems, which is probably whylock
isn't implicit for things likecmpxchg
. – Adventurism