How to compare the performance between two codes by static analyzing? - performance

I'm studying llvm recently.
I have a C code name cal.c. Now, I apply two different optimization passes on this code and generate two different IR codes - cal1.ll and cal2.ll.
How could I compare the performance between them?
I tried compare instruction counts and instruction cost but those of them are not good features. I think there are no relations between instruction counts and performance, instruction costs and performance.
So, how could I compare the performance between two IR?
I don't need to know the run time. I just want to know which is the faster.

This is a hard problem, often much harder than just running you code on the actual hardware and measure which is faster. It more or less boils down to simulate the hardware using "pen and paper". You will need a detailed model of the target system including things like pipeline and cache behavior and then use this model to calculate the cost of each executed instruction.

llvm-mca tries to statically estimate performance of assembly code by reusing LLVM compiler's CPU pipeline model:
$ llvm-mca -mcpu=skylake foo.s
Iterations: 300
Instructions: 900
Total Cycles: 610
Total uOps: 900
As mentioned by others, the estimates would be imprecise (often very imprecise) due to lack of cache and branch predictor models, imprecision of CPU pipeline model, etc.

Related

Optimizing double->long conversion with memory operand using perf?

I have an x86-64 Linux program which I am attempting to optimize via perf. The perf report shows the hottest instructions are scalar conversions from double to long with a memory argument, for example:
cvttsd2si (%rax, %rdi, 8), %rcx
which corresponds to C code like:
extern double *array;
long val = (long)array[idx];
(This is an unusual bottleneck but the code itself is very unusual.)
To inform optimizations I want to know if these instructions are hot because of the load from memory, or because of the arithmetic conversion itself. What's the best way to answer this question? What other data should I collect and how should I proceed to optimize this?
Some things I have looked at already. CPU counter results show 1.5% cache misses per instruction:
30686845493287      cache-references
     2140314044614      cache-misses           #    6.975 % of all cache refs
          52970546      page-faults
  1244774326560850      instructions
   194784478522820      branches
     2573746947618      branch-misses          #    1.32% of all branches
          52970546      faults
Top-down performance monitors show we are primarily backend-bound:
frontend bound retiring bad speculation backend bound
10.1% 25.9% 4.5% 59.5%
Ad-hoc measurement with top shows all CPUs pegged at 100% suggesting we are not waiting on memory.
A final note of interest: when run on AWS EC2, the code is dramatically slower (44%) on AMD vs Intel with the same core count. (Tested on Ice Lake 8375C vs EPYC 7R13). What could explain this discrepancy?
Thank you for any help.
To inform optimizations I want to know if these instructions are hot because of the load from memory, or because of the arithmetic conversion itself. What's the best way to answer this question?
I think there is two main reason for this instruction to be slow. 1. There is a dependency chain and the latency of this instruction is a problem since the processor is waiting on it to execute other instructions. 2. There is a cache miss (saturating the memory with such instruction is improbable unless many cores are doing memory-based operations).
First of all, tracking what is going on on a specific instruction is hard (especially if the instruction is not executed a lot of time). You need to use precise events to track the root of the problem, that is, events for which the exact instruction addresses that caused the event are available. Only a (small) subset of all events are precise one.
Regarding (1), the latency of the instruction should be about 12 cycles on both architecture (although it might be slightly more on the AMD processor, I do not expect a 44% difference). The target processor are able to execute multiple instruction at the same time in a given cycle. Instructions are executed on different port and are also pipelined. The port usage matters to understand what is going on. This means all the instruction in the hot loop matters. You cannot isolate this specific instruction. Modern processors are insanely complex so a basic analysis can be tricky. On Ice Lake processors, you can measure the average port usage with events like UOPS_DISPATCHED.PORT_XXX where XXX can be 0, 1, 2_3, 4_9, 5, 6, 7_8. Only the first three matters for this instruction. The EXE_ACTIVITY.XXX events may also be useful. You should check if a port is saturated and which one. AFAIK, none of these events are precise so you can only analyse a block of code (typically the hot loop). On Zen 3, the ports are FP23 and FP45. IDK what are the useful events on this architecture (I am not very familiar with it).
On Ice Lake, you can check the FRONTEND_RETIRED.LATENCY_GE_XXX events where XXX is a power of two integer (which should be precise one so you can see if this instruction is the one impacting the events). This help you to see whether the front-end or the back-end is the limiting factor.
Regarding (2), you can check the latency of the memory accesses as well as the number of L1/L2/L3 cache hits/misses. On Ice Lake, you can use events like MEM_LOAD_RETIRED.XXX where XXX can be for example L1_MISS L1_HIT, L2_MISS, L2_HIT, L3_MISS and L3_HIT. Still on Ice Lake, t may be useful to track the latency of the memory operation with MEM_TRANS_RETIRED.LOAD_LATENCY_GT_XXX where XXX is again a power of two integer.
You can also use LLVM-MCA to simulate the scheduling of the loop instruction statically on the target architecture (do not consider branches). This is very useful to understand deeply what the scheduler can do pretty easily.
What could explain this discrepancy?
The latency and reciprocal throughput should be about the same on the two platform or at least close. That being said, for the same core count, the two certainly do not operate at the same frequency. If this is not coming from that, then I doubt this instruction is actually the problem alone (tricky scheduling issues, wrong/inaccurate profiling results, etc.).
CPU counter results show 1.5% cache misses per instruction
The thing is the cache-misses event is certainly not very informative here. Indeed, it references the last-level cache (L3) misses. Thus, it does not give any information about the L1/L2 misses (previous events do).
how should I proceed to optimize this?
If the code is latency bound, the solution is to first break any dependency chain in this loop. Unrolling the loop dans rewriting it so to make it more SIMD-friendly can help a lot to improve performance (the reciprocal throughput of this instruction is about 1 cycle as opposed to 12 for the latency so there is a room for improvements in this case).
If the code is memory bound, they you should care about data locality. Data should fit in the L1 cache if possible. There are many tips to do so but it is hard to guide you without more context. This includes for example sorting data, reordering loop iterations, using smaller data types.
There are many possible source of weird unusual unexpected behaviours that can occurs. If such a thing happens, then it is nearly impossible to understand what is going on without the exact code executed. All details matter in this case.

How many if statements can be executed in 1 sec approximately

I am planning to write a project that includes 10 for-loops and uses the for-loops more than 10000 times. So, there are about 10000 * 10^10 if statements. At the end of the for-loop, there is a result. My project is to get the best result from the 10 for-loops. I will write my project in Java.
I am thinking is it possible to calculate the results?
My computer hardware performance is below
Macbook air early 2014
Processor: 1.4GHz Intel I5
Memory: 4GB 1600 MHz DDR3
Also, what is the calculation method to find it out?
TL;DR: It all depends on the code, and what asm output the compiler makes. I assume a recent MacBook uses an Intel Haswell CPU, so I've used that as an example.
Update: I didn't notice that you said Java. Take all the uncertainty and hand-waving in the text below and square it, because a good JIT-compiler will take advantage of dynamic information to do stuff like check the most common condition first. Optimizing the code for the data it's actually running on can make a big difference, esp. for a small loop that runs for a long time.
Mapping of C statements to asm instructions is nowhere near 1:1. Depending on the conditions being tested, the compiler might combine some tests together, or not even use branches.
If the expression in the if() condition is complex, it will typically take multiple instructions to evaluate it. Every clause separated by && or || might result in a separate conditional branch, to implement short-circuit evaluation.
Intel SnB-family CPUs can sustain a throughput of four uops per clock. Intel Haswell and later can macro-fuse two compare-and-branch pairs in each decode-block of 4 to 6 instructions (up from one macro-fusion per cycle in previous uarches). (See Agner Fog's microarch pdf, and other stuff at the x86 tag wiki). So in theory a Haswell CPU can issue 3 compare-and-branch instruction pairs per clock. It can only execute two conditional branches per clock, though (as long as they're both correctly predicted, and at least one of them is not-taken).
You can use perf counters to see if your code is saturating port6 (taken branches) or ports 0 and 6 (not-taken branches). Or more likely, whether you're suffering from pipeline stalls due to branch mispredicts.
Looking at the asm output from the compiler is one first step in seeing what the compiler can make of your code. Sometimes it can help you see source changes that will get that particular compiler to emit better code. Sometimes you can see a more optimal way for the asm to flow, and can write the source in a way that reflects that, which will hopefully help any compiler.

How to compare two implementations of the same algorithm? (by examine their Assembly code)

Assume I have two implementations of the same algorithm in assembly. I would like to know by examining the two snippets codes which one is faster.
The parameters I thought one might take into account are: number of op-codes, number of branches, number of function frames.
My questions are:
Can I assume each opcode execution is one cycle ?
What is the overhead of branch which break the pipeline ?
What are the effects and overhead of calling a function ?
Is there a difference in the analysis between ARM and x86 ?
The question is theoretical since I have two implementations; one 130 instructions long and one is 184 instructions long.
And I would like to know if it is definitely true to say the 130 instructions long snippet is faster than the 184 instructions long implementation?
"BETTER == FASTER"
Without wanting to be flippant, the answers are
no
that depends on your hardware
that depends on your hardware
yes
You would really need to test things on your target hardware, or have a simulator that understands your hardware fully, in order to answer your question the way you meant to...
For the last part of your question, you need to define "better"…better.
Since you asked about a Cortex A9, the data sheet has instruction cycle counts in appendix B. These counts generally assume that the memory bus is fast enough to keep the CPU busy. In reality this is rarely the case. Many video/audio algorithms will have a big win in how they access memory.
One cycle per op
Of course you can't assume this if you want an exact count. However, if you are deciding which algorithm to choose, you can get a feel for the best algorithm by looking at the instructions in the inner loop. Here, your cache should allow the code to execute as per the instruction counts in the data sheet. If the counts are close, then you probably need to look at each instruction. Load/stores are more expensive and usually multiples, etc. Some algorithms, especially crytographic, will have big wins by using assembler that doesn't map well to C. For example, clz, ror, using the carry for multi-word arithmetic, etc.
Branch overhead
Look in Appendix B, or whatever data sheet has cycle counts for your processor. For an ARM926 it is about 3 cycles. The compiler only generates two conditional opcodes in a row to avoid branching, otherwise, it branches. If the algorithm is large, the branch may disrupt the cache. A hard answer depends on your CPU, cache, and memory. According to the Cortex A9 datasheet (B.5), there is only one cycle overhead to a fixed branch.
Function overhead
This is much the same as the branch overhead. However, the compiler will also have an influence. noted by Jim Does it cache align functions. Does the compiler perform leaf function optimizations, etc. With modern gcc versions, if all the functions are static, the compiler will generally in-line when it is advantageous. If the algorithms are particularly large, a register spill may be advantageous. However, with your example of 130/184 instructions, this seems unlikely. The compiler options will obviously effect the overhead. You can use objdump -S to examine the prologue/epilogue and then determine the number of cycles for your hardware.
ARM verus x86
Of course there is a technical difference in the cycle counts. The CISC x86 also has variable instruction size. This complicates the analysis. It is slightly easier on the ARM.
Normally, you want to ball park things and then actually run them with a profiler. The estimates can help guide development of the algorithms. Loop/memory tuning, etc for your hardware. Something like instruction emulation, page or alignment faults, etc may be dominant and make all the cycle count analysis meaningless. If the algorithm is in user space, per-emption, may negate cache wins from run to run. It is possible that one algorithm will work better in a little loaded system and the other will work better under a higher load.
A note on cycle counts
See the post-process objdump for some complications in getting cycle counts. Basically a typical CPU is several phases (a pipe line) and different conditions can cause stalls. As CPU's become more complex, the pipe line typically gets longer, meaning there are more conditions or phases which can stall. However, cycle count estimates can be helpful in guiding development of an algorithm and evaluating them. Things like memory timing or branch prediction can be just as important, depending on the algorithm. Ie, cycle counts are not completely useless, but they are not complete either. Profiling should confirm actual algorithm times. If they diverge, instruction re-ordering, pre-fetching and other techniques may bring them closer. The fact that cycle counts and active profiling diverge can be helpful in itself.
It is definitely not true to say that the 130 instruction code is faster than the 184 instruction code. it is very easy to have 1000 instructions run faster than 100 and vice versa on either of these platforms.
1 Can I assume each opcode execution is one cycle ?
Start by looking at the advertised mips/mhz, although a marketing number it gives a rough idea of what is possible. If the number is greater than one then more than one instruction per clock is possible.
2 What is the overhead of branch which break the pipeline ?
Anywhere from absolutely no affect to a very dramatic affect, on either system. one clock to hundreds are the potential penalty.
3 What are the effects and overhead of calling a function ?
Depends heavily on the function, and the function calling the function. Depending on the calling convention you might have to save registers to the stack, or rearrange the contents of registers to prepare for the parameters for the function to be called. If passing a struct by value a copy of the struct may need to be made on the stack, the bigger the struct passed the bigger the copy. once in the function a stack frame may need to be prepared, etc, etc. There are many factors involved. This question and answer are also independent of platform.
4 Is there a difference in the analysis between ARM and x86 ?
yes and no, both systems use all the modern tricks of pipelining, branch prediction, etc to keep the mips/mhz up. ARM is going to give a better mips per mhz than x86, x86 being variable instruction length might give more instructions per unit cache. How you analyze the cache, and memory and peripheral systems in the systems side of the analysis is roughly the same. The comparison of the instructions and core are similar and different depending on what aspects you are analyzing. The arm is not microcoded, the x86 likely is so you dont really see how many registers there really are, things like that. at the same time the x86 you can get a better look at the memory system with the arm, since they are generally not system on a chip. Depending on what ARM chip you buy you may lose a lot of the visibility in the boundaries of the chip, might not see all the memory and peripheral busses, for example. (x86 is changing that by putting pcie on chip now for example) in the case of something in the cortex-a class you mentioned you would have similar edge of chip visibility as those would use larger/cheaper dram based memory off chip rather than microcontroller like on chip resources.
Bottom line your final question:
"And I would like to know if it is definitely true to say the 130 instructions long snippet is faster than the 184 instructions long implementation?"
It is definitely NOT TRUE to say the 130 instruction snippet is faster than the 184 instruction snippet. It might be faster it might be slower and it might be about the same. With a lot more information we might be able to make a pretty good statement or it may still be non-deterministic. it is easy to choose 100 instructions that execute faster than 1000 instructions and likewise easy to choose 1000 instructions that execute faster than 100 instructions (even if I were to add no branching and no loops, just linear execution)
Your question is almost entirely meaningless: It probably depends on your input.
Most CPUs have something resembling a branch misprediction penalty (e.g. traditional ARM which throws away an instruction fetch/decode on any taken branch, IIRC). ARM and x86 also allow conditional execution, which can be faster than branching. If either of these are dependent on input data, then different inputs will follow different code paths.
Perhaps one version heavily uses conditional execution, which is wasteful when the condition is false. Perhaps another was compiled using some profiling information that performs no branches (except the return at the end) for a specific case. There are many, many reason why a compiler can take the same source and produce an "optimized" output which is faster for one input and slower for another.
Many optimizations have this characteristic — for example, aligning the start of a loop to 16 bytes helps on some processors, but not when the loop is only executed once.
Some text book answer to this question from Cortex
™
-A Series Programmer’s Guide, chapter 17.
Although cycle timing information can be found in the Technical Reference Manual (TRM) for the processor that you are using, it is very difficult to work out how many cycles even a trivial piece of code will take to execute. The movement of instructions through the pipeline is dependent on the progress of the surrounding instructions and can be significantly affected by memory system
activity. Pending loads or instruction fetches which miss in the cache can stall code for tens of cycles. Standard data processing instructions (logical and arithmetic) will take only one or two cycles to execute, but this does not give the full picture. Instead, we must use profiling tools, or the system performance monitor built-in to the processor, to extract useful information about performance.
Also read under 17.4 Cortex-A9 micro-architecture optimizations which answers your question very very much.

Count clock cycles from assembly source code?

I have the source code written and I want to measure efficiency as how many clock cycles it takes to complete a particular task. Where can I learn how many clock cycles different commands take? Does every command take the same amount of time on 8086?
RDTSC is the high-resolution clock fetch instruction.
Bear in mind that cache misses, context switches, instruction reordering and pipelining, and multicore contention can all interfere with the results.
Clock cycles and efficiency are not the same thing.
For efficiency of code you need to consider, in particular, how the memory is utalised, in particular the differing levels of the cache. Also important is the branching prediction of the code etc. You want a profiler that tells you these things, ideally one that gives you profile specific information: examples are CodeAnalyst for AMD chips.
To answer your question, particular base instructions do have a given (average) number of cycles (AMD release the approximate numbers for the basic maths functions in their maths library). These numbers are a poor place to start optimising code, however.

measuring real running time of an algorithm

Approximately, how many physical instructions of MIPS does an abstract algorithm operation amortize to? As for an abstract algorithm operation, I means a basic operation, such as add, divide, etc.
I see this is not a strict measuring technique :-)
Kejia
There is a list of the basic MIPS instructions here. Most of the "basic operations" that you mentioned are a single MIPS instruction or perhaps two, which probably holds true on most current CPU families.
However this does not take into account at all the architecture and performance characteristics of any of the modern CPUs. Different instructions often have diffrent completion times. Current CPUs usually implement branch prediction, instruction pipelines, memory caching, parallelisation and a whole list of other techniques to make the code execution faster.
Therefore just having the assembly code implementation of an algorithm says nothing about its execution speed. You would have to measure and profile the code on the actual hardware to obtain comparable results. In fact, some algorithms may be far more effective on certain CPUs, even within the same CPU family.
A common and rather understandable example is the effect of the instruction cache. Unrolling a loop will eliminate a number of branch operations, which intuitively makes code faster. If you run that code on a CPU of the same family with very little instruction cache memory, though, the added accesses to the main memory can make it far slower than the simple branch-based loop.
Computers are complicated. If you want to get down to this level you need to start considering what kind of CPU you are using, how well your compiler can use this CPU's instruction set, what variables are being kept in what registers, what are their bit-level representations, etc. Even then, the number of instructions not always easily maps to the actual running time. Different instructions can take different ammounts of clock cycles to execute and this is not even thinking about OS threading and your program's cache miss rate.
In the end, there is a good reason we use big-O notatoin in the first place :)
BTW, most simple operations (add, subtract) on integers should map to a single machine instruction, in case you are worried.
It depends on the CPU architecture. Some processors requires several cycles for a single instruction such as divivide, while others manage to execute all machine code instructions in a single cycle each.
It is sometimes relevant to measure an algorithm in how many floating point operations it requires. However this does not take I/O (such as reading memory) into consideration.
The speed of a CPU is sometimes provided in FLOPS (Floating Point OPerations per Second) which could help to give you a time estimate. Again, not taking I/O into consideration - and not multi-threading issues (also a very important measuring factor).
Donald Knuth addressed this very problem in writing Volume 1 of "The Art of Computer Programming".
In the preface he gives a lengthy justification for presenting algorithms in the assembly code for an imaginary machine -
... To avoid this dilemma, I have
attempted to design an "ideal"
computer called "MIX," with very
simple rules of operation ...
That way, one can talk sensibly about how many "cycles" an algorithm would take, without having to care about differences between machines, caching, latency, pipelines, or any of the other ways computers have been optimized to save time, at the expense of knowing how long they will take.

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