I am reading the AES (Advanced Encryption Standard) article (see http://cr.yp.to/aes-speed/aesspeed-20080926.pdf)
They measure the encryption speed using "Cycles/byte", as I know, if the CPU is known, I can calculate this "Cycles/byte" to "MB/s" by "(number of processors × processor_utilization × processor clock frequency) / Throughput rate in bytes per second or transaction per second = cycles per Byte"
My question is what if I am using a four core Intel CPU, how should I calculate how many processors I am using or these four cores are treated as "one CPU". It seems like they cannot be treated as one CPU because a old CPU with 3.0 GHz will run faster than 2.2GHz dual core CPU then.
Thanks in advance.
Related
For example, a modern i7-8700k can supposedly do ~60 GFLOPS (single-precision, source) while its maximum frequency is 4.7GHz. As far as I am aware, an instruction has to take at least one cycle to complete, so how is this possible?
There are multiple factors that are all multiplied together for this large effect:
SIMD, Intel 8700k and similar processors support AVX and AVX2, which includes many instructions that operate on registers that can hold 8 floats at the same time.
multiple cores, 8700k has 6 cores.
fused multiply-add, part of AVX2, has both a multiplication and addition in the same instruction.
high throughput execution. The latency (time an individual instruction takes) is not directly important to how much computation a processor can do in a unit of time. A modern CPU such as 8700k can start executing two (independent) FMAs in the same cycle (and keep in mind these are still SIMD instructions so that represents a lot of floating point operations) even through the latency of the operation is actually 4 cycles.
Multiplying all those factors together we get: 8 * 6 * 2 * 2 * 4.3 = 825 GFLOPS (matching the stats reported here). This calculation certainly does not mean that it can actually be attained. For example the processor may downclock significantly under such a workload in order to stay within its power budget, which is what Intel has been doing at least since Haswell (though the specifics have changed and it applied to server parts). Also, most real code has significant trouble feeding that many FMAs with data. Large matrix multiplications can get close though, and for example according to these stats the 8700k reached 496.7 Gflops in their SGEMM benchmark. Possibly the 8700k's max AVX2 turbo speed on 6 cores is 2.6GHz but as far as I can find it does not have an AVX offset by default (only needed when overclocked), or that GEMM is just not that close to hitting peak FLOPS.
A modern CPU has a ethash hashrate from under 1MH/s (source: https://ethereum.stackexchange.com/questions/2325/is-cpu-mining-even-worth-the-ether ) while GPUs mine with over 20MH/s easily. With overclocked memory they reach rates up to 30MH/s.
GPUs have GDDR Memory with Clockrates of about 1000MHz while DDR4 runs with higher clock speeds. Bandwith of DDR4 seems also to be higher (sources: http://www.corsair.com/en-eu/blog/2014/september/ddr3_vs_ddr4_synthetic and https://en.wikipedia.org/wiki/GDDR5_SDRAM )
It is said for Dagger-Hashimoto/ethash bandwith of memory is the thing that matters (also experienced from overclocking GPUs) which I find reasonable since the CPU/GPU only has to do 2x sha3 (1x Keccak256 + 1x Keccak512) operations (source: https://github.com/ethereum/wiki/wiki/Ethash#main-loop ).
A modern Skylake processor can compute over 100M of Keccak512 operations per second (see here: https://www.cryptopp.com/benchmarks.html ) so then core count difference between GPUs and CPUs should not be the problem.
But why don't we get about ~50Mhash/s from 2xKeccak operations and memory loading on a CPU?
See http://www.nvidia.com/object/what-is-gpu-computing.html for an overview of the differences between CPU and GPU programming.
In short, a CPU has a very small number of cores, each of which can do different things, and each of which can handle very complex logic.
A GPU has thousands of cores, that operate pretty much in lockstep, but can only handle simple logic.
Therefore the overall processing throughput of a GPU can be massively higher. But it isn't easy to move logic from the CPU to the GPU.
If you want to dive in deeper and actually write code for both, one good starting place is https://devblogs.nvidia.com/gpu-computing-julia-programming-language/.
"A modern Skylake processor can compute over 100M of Keccak512 operations per second" is incorrect, it is 140 MiB/s. That is MiBs per second and a hash operation is more than 1 byte, you need to divide the 140 MiB/s by the number of bytes being hashed.
I found an article addressing my problem (the influence of Memory on the algorithm).
It's not only the computation problem (mentioned here: https://stackoverflow.com/a/48687460/2298744 ) it's also the Memorybandwidth which would bottelneck the CPU.
As described in the article every round fetches 8kb of data for calculation. This results in the following formular:
(Memory Bandwidth) / ( DAG memory fetched per hash) = Max Theoreticical Hashrate
(Memory Bandwidth) / ( 8kb / hash) = Max Theoreticical Hashrate
For a grafics card like the RX470 mentioned this results in:
(211 Gigabytes / sec) / (8 kilobytes / hash) = ~26Mhashes/sec
While for CPUs with DDR4 this will result in:
(12.8GB / sec) / (8 kilobytes / hash) = ~1.6Mhashes/sec
or (debending on clock speeds of RAM)
(25.6GB / sec) / (8 kilobytes / hash) = ~3.2Mhashes/sec
To sum up, a CPU or also GPU with DDR4 ram could not get more than 3.2MHash/s since it can't get the data fast enough needed for processing.
Source:
https://www.vijaypradeep.com/blog/2017-04-28-ethereums-memory-hardness-explained/
I implemented a program which uses different CUDA streams from different CPU threads. Memory copying is implemented via cudaMemcpyAsync using those streams. Kernel launches are also using those streams. The program is doing double-precision computations (and I suspect this is the culprit, however, cuBlas reaches 75-85% CPU usage for multiplication of matrices of doubles). There are also reduction operations, however they are implemented via if(threadIdx.x < s) with s decreasing 2 times in each iteration, so stalled warps should be available to other blocks. The application is GPU and CPU intensive, it starts with another piece of work as soon as the previous has finished. So I expect it to reach 100% of either CPU or GPU.
The problem is that my program generates 30-40% of GPU load (and about 50% of CPU load), if trusting GPU-Z 1.9.0. Memory Controller Load is 9-10%, Bus Interface Load is 6%. This is for the number of CPU threads equal to the number of CPU cores. If I double the number of CPU threads, the loads stay about the same (including the CPU load).
So why is that? Where is the bottleneck?
I am using GeForce GTX 560 Ti, CUDA 8RC, MSVC++2013, Windows 10.
One my guess is that Windows 10 applies some aggressive power saving, even though GPU and CPU temperatures are low, the power plan is set to "High performance" and the power supply is 700W while power consumption with max CPU and GPU TDP is about 550W.
Another guess is that double-precision speed is 1/12 of the single-precision speed because there are 1 double-precision CUDA core per 12 single-precision CUDA cores on my card, and GPU-Z takes as 100% the situation when all single-precision and double-precision cores are used. However, the numbers do not quite match.
Apparently the reason was low occupancy due to CUDA threads using too many registers by default. To tell the compiler the limit on the number of registers per thread, __launch_bounds__ can be used, as described here. So to be able to launch all 1536 threads in 560 Ti, for block size 256 the following can be specified:
_global__ void __launch_bounds__(256, 6) MyKernel(...) { ... }
After limiting the number of registers per CUDA thread, the GPU usage has raised to 60% for me.
By the way, 5xx series cards are still supported by NSight v5.1 for Visual Studio. It can be downloaded from the archive.
EDIT: the following flags have further increased GPU usage to 70% in an application that uses multiple GPU streams from multiple CPU threads:
cudaSetDeviceFlags(cudaDeviceScheduleYield | cudaDeviceMapHost | cudaDeviceLmemResizeToMax);
cudaDeviceScheduleYield lets other threads execute when a CPU
thread is waiting on GPU operation, rather than spinning GPU for the
result.
cudaDeviceLmemResizeToMax, as I understood it, makes kernel
launches themselves asynchronous and avoids excessive local memory
allocations&deallocations.
I have developed a high performance Cholesky factorization routine, which should have peak performance at around 10.5 GFLOPs on a single CPU (without hyperthreading). But there is some phenomenon which I don't understand when I test its performance. In my experiment, I measured the performance with increasing matrix dimension N, from 250 up to 10000.
In my algorithm I have applied caching (with tuned blocking factor), and data are always accessed with unit stride during computation, so cache performance is optimal; TLB and paging problem are eliminated;
I have 8GB available RAM, and the maximum memory footprint during experiment is under 800MB, so no swapping comes across;
During experiment, no resource demanding process like web browser is running at the same time. Only some really cheap background process is running to record CPU frequency as well as CPU temperature data every 2s.
I would expect the performance (in GFLOPs) should maintain at around 10.5 for whatever N I am testing. But a significant performance drop is observed in the middle of the experiment as shown in the first figure.
CPU frequency and CPU temperature are seen in the 2nd and 3rd figure. The experiment finishes in 400s. Temperature was at 51 degree when experiment started, and quickly rose up to 72 degree when CPU got busy. After that it grew slowly to the highest at 78 degree. CPU frequency is basically stable, and it did not drop when temperature got high.
So, my question is:
since CPU frequency did not drop, why performance suffers?
how exactly does temperature affect CPU performance? Does the increment from 72 degree to 78 degree really make things worse?
CPU info
System: Ubuntu 14.04 LTS
Laptop model: Lenovo-YOGA-3-Pro-1370
Processor: Intel Core M-5Y71 CPU # 1.20 GHz * 2
Architecture: x86_64
CPU op-mode(s): 32-bit, 64-bit
Byte Order: Little Endian
CPU(s): 4
On-line CPU(s) list: 0,1
Off-line CPU(s) list: 2,3
Thread(s) per core: 1
Core(s) per socket: 2
Socket(s): 1
NUMA node(s): 1
Vendor ID: GenuineIntel
CPU family: 6
Model: 61
Stepping: 4
CPU MHz: 1474.484
BogoMIPS: 2799.91
Virtualisation: VT-x
L1d cache: 32K
L1i cache: 32K
L2 cache: 256K
L3 cache: 4096K
NUMA node0 CPU(s): 0,1
CPU 0, 1
driver: intel_pstate
CPUs which run at the same hardware frequency: 0, 1
CPUs which need to have their frequency coordinated by software: 0, 1
maximum transition latency: 0.97 ms.
hardware limits: 500 MHz - 2.90 GHz
available cpufreq governors: performance, powersave
current policy: frequency should be within 500 MHz and 2.90 GHz.
The governor "performance" may decide which speed to use
within this range.
current CPU frequency is 1.40 GHz.
boost state support:
Supported: yes
Active: yes
update 1 (control experiment)
In my original experiment, CPU is kept busy working from N = 250 to N = 10000. Many people (primarily those whose saw this post before re-editing) suspected that the overheating of CPU is the major reason for performance hit. Then I went back and installed lm-sensors linux package to track such information, and indeed, CPU temperature rose up.
But to complete the picture, I did another control experiment. This time, I give CPU a cooling time between each N. This is achieved by asking the program to pause for a number of seconds at the start of iteration of the loop through N.
for N between 250 and 2500, the cooling time is 5s;
for N between 2750 and 5000, the cooling time is 20s;
for N between 5250 and 7500, the cooling time is 40s;
finally for N between 7750 and 10000, the cooling time is 60s.
Note that the cooling time is much larger than the time spent for computation. For N = 10000, only 30s are needed for Cholesky factorization at peak performance, but I ask for a 60s cooling time.
This is certainly a very uninteresting setting in high performance computing: we want our machine to work all the time at peak performance, until a very large task is completed. So this kind of halt makes no sense. But it helps to better know the effect of temperature on performance.
This time, we see that peak performance is achieved for all N, just as theory supports! The periodic feature of CPU frequency and temperature is the result of cooling and boost. Temperature still has an increasing trend, simply because as N increases, the work load is getting bigger. This also justifies more cooling time for a sufficient cooling down, as I have done.
The achievement of peak performance seems to rule out all effects other than temperature. But this is really annoying. Basically it says that computer will get tired in HPC, so we can't get expected performance gain. Then what is the point of developing HPC algorithm?
OK, here are the new set of plots:
I don't know why I could not upload the 6th figure. SO simply does not allow me to submit the edit when adding the 6th figure. So I am sorry I can't attach the figure for CPU frequency.
update 2 (how I measure CPU frequency and temperature)
Thanks to Zboson for adding the x86 tag. The following bash commands are what I used for measurement:
while true
do
cat /sys/devices/system/cpu/cpu0/cpufreq/scaling_cur_freq >> cpu0_freq.txt ## parameter "freq0"
cat sys/devices/system/cpu/cpu1/cpufreq/scaling_cur_freq >> cpu1_freq.txt ## parameter "freq1"
sensors | grep "Core 0" >> cpu0_temp.txt ## parameter "temp0"
sensors | grep "Core 1" >> cpu1_temp.txt ## parameter "temp1"
sleep 2
done
Since I did not pin the computation to 1 core, the operating system will alternately use two different cores. It makes more sense to take
freq[i] <- max (freq0[i], freq1[i])
temp[i] <- max (temp0[i], temp1[i])
as the overall measurement.
TL:DR: Your conclusion is correct. Your CPU's sustained performance is nowhere near its peak. This is normal: the peak perf is only available as a short term "bonus" for bursty interactive workloads, above its rated sustained performance, given the light-weight heat-sink, fans, and power-delivery.
You can develop / test on this machine, but benchmarking will be hard. You'll want to run on a cluster, server, or desktop, or at least a gaming / workstation laptop.
From the CPU info you posted, you have a dual-core-with-hyperthreading Intel Core M with a rated sustainable frequency of 1.20 GHz, Broadwell generation. Its max turbo is 2.9GHz, and it's TDP-up sustainable frequency is 1.4GHz (at 6W).
For short bursts, it can run much faster and make much more heat than it requires its cooling system to handle. This is what Intel's "turbo" feature is all about. It lets low-power ultraportable laptops like yours have snappy UI performance in stuff like web browsers, because the CPU load from interactive is almost always bursty.
Desktop/server CPUs (Xeon and i5/i7, but not i3) do still have turbo, but the sustained frequency is much closer to the max turbo. e.g. a Haswell i7-4790k has a sustained "rated" frequency of 4.0GHz. At that frequency and below, it won't use (and convert to heat) more than its rated TDP of 88W. Thus, it needs a cooling system that can handle 88W. When power/current/temperature allow, it can clock up to 4.4GHz and use more than 88W of power. (The sliding window for calculating the power history to keep the sustained power with 88W is sometimes configurable in the BIOS, e.g. 20sec or 5sec. Depending on what code is running, 4.4GHz might not increase the electrical current demand to anywhere near peak. e.g. code with lots of branch mispredicts that's still limited by CPU frequency, but that doesn't come anywhere near saturating the 256b AVX FP units like Prime95 would.)
Your laptop's max turbo is a factor of 2.4x higher than rated frequency. That high-end Haswell desktop CPU can only upclock by 1.1x. The max sustained frequency is already pretty close to the max peak limits, because it's rated to need a good cooling system that can keep up with that kind of heat production. And a solid power supply that can supply that much current.
The purpose of Core M is to have a CPU that can limit itself to ultra low power levels (rated TDP of 4.5 W at 1.2GHz, 6W at 1.4GHz). So the laptop manufacturer can safely design a cooling and power delivery system that's small and light, and only handles that much power. The "Scenario Design Power" is only 3.5W, and that's supposed to represent the thermal requirements for real-world code, not max-power stuff like Prime95.
Even a "normal" ULV laptop CPU is rated for 15W sustained, and high power gaming/workstation laptop CPUs at 45W. And of course laptop vendors put those CPUs into machines with beefier heat-sinks and fans. See a table on wikipedia, and compare desktop / server CPUs (also on the same page).
The achievement of peak performance seems to rule out all effects
other than temperature. But this is really annoying. Basically it says
that computer will get tired in HPC, so we can't get expected
performance gain. Then what is the point of developing HPC algorithm?
The point is to run them on hardware that's not so badly thermally limited! An ultra-low-power CPU like a Core M makes a decent dev platform, but not a good HPC compute platform.
Even a laptop with an xxxxM CPU, rather than a xxxxU CPU, will do ok. (e.g. a "gaming" or "workstation" laptop that's designed to run CPU-intensive stuff for sustained periods). Or in Skylake-family, "xxxxH" or "HK" are the 45W mobile CPUs, at least quad-core.
Further reading:
Modern Microprocessors
A 90-Minute Guide!
[Power Delivery in a Modern Processor] - general background, including the "power wall" that Pentium 4 ran into.
(https://www.realworldtech.com/power-delivery/) - really deep technical dive into CPU / motherboard design and the challenges of delivering stable low-voltage to very bursty demands, and reacting quickly to the CPU requesting more / less voltage as it changes frequency.
What does it mean when they say processor is -
Core i3, i5 or i7?
Core 2 Duo or Dual Core?
CPU # 3.20 GHz or similar GHz?
You mixed up everything a bit :
Core i3, i5, i7, 2 Duo are brand names used by Intel for families of processors it builds.
A dual core processor (or more generally multi-core) is a processor which features multiple processing units. This allows to have multiple threads (i.e. somehow a list of consecutive instructions to be executed), so that 2 or more instruction can be executed at a time.
3.20 GHz is the frequency of the clock of the processor. It is in Hertz (Hz). A higher frequency for a processor with the exact same components while make the processor execute instructions faster (most of the time). However, a processor with a high frequency will not necessarly be faster than a processor with a lower frequency.
See :
Multi-core processor
Clock rate
Intel core
These are names and types of different processors. The vary in the number of cores and clock rate.
The number of the cores is the number of unites which do actually add values. (See ALU)
The clock rate shows how many additions the CPU can make in a specified time.
Help yourself and read:
http://en.wikipedia.org/wiki/Central_processing_unit
http://en.wikipedia.org/wiki/Arithmetic_logic_unit
http://en.wikipedia.org/wiki/Comparison_of_Intel_processors
http://en.wikipedia.org/wiki/Comparison_of_AMD_processors