Unenhanced performance of matlab GPU computing - performance

With the intention of comparing the speed of GPU vs CPU computing, I ran the example codes available here (a Mandelbrot set on the GPU) from MATLAB central. Below are the results that I obtained:
Case 1 (without GPU): 6.2 secs
Case 2 (using parallel.gpu.GPUArray): 6.518 secs (1.39 secs in the example)
Case 3 (Using Element-wise Operation): 1.259 secs (0.14 secs in the example)
As can be seen, there is no improvement in case 2 and only slight improvement of around 4 times in case 3. As the example did not state the details of GPU they used, may I know if this is simply due to the "incompetency" of my graphic card or am I missing something important?
The graphic card is also responsible for driving my display (HP Z Display Z23i 23-inch IPS LED Backlit Monitor).
CPU: Intel i7-4790, 3.6 GHz (8 cores)
GPU:
Name: 'NVS 510'
Index: 1
ComputeCapability: '3.0'
SupportsDouble: 1
DriverVersion: 6
ToolkitVersion: 5
MaxThreadsPerBlock: 1024
MaxShmemPerBlock: 49152
MaxThreadBlockSize: [1024 1024 64]
MaxGridSize: [2.1475e+09 65535 65535]
SIMDWidth: 32
TotalMemory: 2.1475e+09
FreeMemory: 1.6934e+09
MultiprocessorCount: 1
ClockRateKHz: 797000
ComputeMode: 'Default'
GPUOverlapsTransfers: 1
KernelExecutionTimeout: 1
CanMapHostMemory: 1
DeviceSupported: 1
DeviceSelected: 1
Thank you!
Edit
The GPU used in the example here is Tesla C2050. (Credits to #Sam Roberts)

The times on that link are most likely for a different GPU in comparison to yours. They don't specify what kind of graphics card they're using, but my guess is that they're using a more higher end card.
By Googling NVS 510, the specs are similar to the card that I have for my machine. However, your card is geared towards business while mine is geared towards gaming. I have a GTX 660 which is one of the higher end GPUs that are available on the market.
These are the attributes of my graphics card:
CUDADevice with properties:
Name: 'GeForce GTX 660'
Index: 1
ComputeCapability: '3.0'
SupportsDouble: 1
DriverVersion: 6.5000
ToolkitVersion: 5.5000
MaxThreadsPerBlock: 1024
MaxShmemPerBlock: 49152
MaxThreadBlockSize: [1024 1024 64]
MaxGridSize: [2.1475e+09 65535 65535]
SIMDWidth: 32
TotalMemory: 2.1475e+09
FreeMemory: 1.5357e+09
MultiprocessorCount: 5
ClockRateKHz: 1084500
ComputeMode: 'Default'
GPUOverlapsTransfers: 1
KernelExecutionTimeout: 1
CanMapHostMemory: 1
DeviceSupported: 1
DeviceSelected: 1
The differences between my card and yours are that I have 5 multiprocessors, and my clock rate is about 300 MHz faster than yours. For a side-by-side comparison, check out my card in comparison to yours:
NVS 510: http://www.nvidia.ca/object/nvs-510-graphics-card.html#pdpContent=2
GTX 660: http://www.geforce.com/hardware/desktop-gpus/geforce-gtx-660/specifications
Upon further inspection, I have a much higher memory bandwidth than your card. I also have 960 GPU cores in comparison to your 192.
I decided to run these tests to compare my performance with your timings. My CPU is an i7-4770 3.6 GHz Intel and I have 16 GB of RAM on my machine.
The times that I get by running those examples are the following:
Case #1 - Without GPU: 6.46 seconds
Case #2 - Naive GPU: 0.82 seconds - 7.9x faster
Case #3 - Through CUDA: 0.09 seconds - 71.7x faster
With this, my guess is that your graphics card may be of a lower quality in comparison to those tests that MathWorks performed. Maybe try updating your graphics drivers and see if that helps. However, my guess is that my performance is much better due to the multiprocessor count, faster clock, a higher amount of cores and higher memory bandwidth.

Related

strange CPU binding/pining result within OpenMPI

I have tried to evaluate an OpenMPI program with Matrix Multiplication algorithm, the written code scales very well on a single thread per core machine in our Laboratory (close to ideal speedup within 48 and 64 cores), However, on some other machines which are hyperthreaded there is strange behavior, as you can see in the screenshot from htop I realized the CPU utilization when I run the same experiment with the same command is different and strange, I executed the program with
mpirun --bind-to hwthread--use-hwthread-cpus -n 2 ...
Here I bind the MPI workers to each hwthread, and can be seen with -n 2 which means I overwrite the variable in such a way to bind the execution on two processors (here hwthreads), however, seems it uses another hwthread with more or less 50% of utilization as well! I found this strange because there is not any extra CPU utilization on other machines, I tried this experiment many times and I'm sure this is not a temporary check or sth by OS and is due to the execution model of OpenMPI.
I appreciate it if someone could explain this behavior and extra CPU utilization when I execute this on the hyper-threaded machine.
The output of lscpu is as below:
lscpu
Architecture: x86_64
CPU op-mode(s): 32-bit, 64-bit
Byte Order: Little Endian
Address sizes: 43 bits physical, 48 bits virtual
CPU(s): 32
On-line CPU(s) list: 0-31
Thread(s) per core: 2
Core(s) per socket: 16
Socket(s): 1
NUMA node(s): 1
Vendor ID: AuthenticAMD
CPU family: 23
Model: 1
Model name: AMD Ryzen Threadripper 1950X 16-Core Processor
Stepping: 1
Frequency boost: enabled
CPU MHz: 2200.000
CPU max MHz: 3400.0000
CPU min MHz: 2200.0000
BogoMIPS: 6786.36
Virtualization: AMD-V
L1d cache: 512 KiB
L1i cache: 1 MiB
L2 cache: 8 MiB
L3 cache: 32 MiB
The version of OpenMPI for all machines is the same 2.1.1.
Maybe Hyperthreading is not the case and I was misled by this, but the only big difference between these environments are 1) the Hyperthreading and 2) Clock Frequency of the processors which is based on different CPUs is different between 2200 MHz to 4.8 GHz.

How to calculate speedup and efficiency in a hybrid CPU and GPU algorithm?

I have an algorithm that I have executed in parallel using only CPU and I have achieved a speedup of 30x. That is, an efficiency equal to 0.93 (efficiency = speedup/cores, i.e. 0.93 = 30/32).
Later I added 2 GPUs (Tesla C2075 of 448 cores each) together to the 32 CPU cores.
To calculate the efficiency including CPUs and GPUs, should I add the amount of GPU cores to the CPU cores? That is, I would calculate the efficiency using 928 cores (32 + 448 + 448 = 928). Or should it be calculated differently?
Speedup and efficiency has been calculated based on what has been said here:
https://software.intel.com/en-us/articles/predicting-and-measuring-parallel-performance
GPUs have bigger "core complex" architectures called "SM" or "CU" with tens of pipelines each. Not "very" similar to "SIMD" of a CPU, they can issue commands in parallel to these pipelines in a "single-threaded" kernel code.
You have counted "cores" in CPU and not SIMD pipelines (which is 4 to 16 times of number of cores) so, it wouldn't be wrong to count SM units of Nvidia or CU of Amd or Slice subset of Intel etc.
Tesla C2075 has 14 SM units so you could add 14 for each GPU (32+14+14).
If you have also used SIMDified code for CPU, then it wouldn't be wrong to count each pipeline of a GPU which is 32 to 192 times the number of SM/CU(like 448 per GPU of yours) (32*SIMD_WIDTH + 448 + 448).
At least this is how I would compute "core efficiency" and "pipeline efficiency". If data transfer to/from GPU is not a bottleneck, efficiency should not drop much after GPUs are added.

What's the reason of strange experiment results?

I have a problem with experiment on my computer. I've done 300 tests of parallel algorithm (32 threads) and seen, that runtime of about 10% tests is less than others. It looks like that: we have 100 tests with runtime of each about 100 ms, then we have 30 tests with runtime ~ 80 ms and again 170 tests with runtime ~100 ms. It happens every experiment. I used OpenMP, TBB, PTHREAD, std::Thread and it happens with every parallel technology.
What's the reason of that?
CPU: Intel® Core™ i7 Kaby Lake H 2800 - 3800 MHz
Cores: 4
Threads: 8

Why can't my ultraportable laptop CPU maintain peak performance in HPC

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.

Cache bandwidth per tick for modern CPUs

What is a speed of cache accessing for modern CPUs? How many bytes can be read or written from memory every processor clock tick by Intel P4, Core2, Corei7, AMD?
Please, answer with both theoretical (width of ld/sd unit with its throughput in uOPs/tick) and practical numbers (even memcpy speed tests, or STREAM benchmark), if any.
PS it is question, related to maximal rate of load/store instructions in assembler. There can be theoretical rate of loading (all Instructions Per Tick are widest loads), but processor can give only part of such, a practical limit of loading.
For nehalem: rolfed.com/nehalem/nehalemPaper.pdf
Each core in the architecture has a 128-bit write port and a
128-bit read port to the L1 cache.
128 bit = 16 bytes / clock read
AND
128 bit = 16 bytes / clock write
(can I combine read and write in single cycle?)
The L2 and L3 caches each have a 256-bit port for reading or writing,
but the L3 cache must share its port with three other cores on the chip.
Can L2 and L3 read and write ports be used in single clock?
Each integrated memory controller has a theoretical bandwidth
peak of 32 Gbps.
Latency (clock ticks), some measured by CPU-Z's latencytool or by lmbench's lat_mem_rd - both uses long linked list walk to correctly measure modern out-of-order cores like Intel Core i7
L1 L2 L3, cycles; mem link
Core 2 3 15 -- 66 ns http://www.anandtech.com/show/2542/5
Core i7-xxx 4 11 39 40c+67ns http://www.anandtech.com/show/2542/5
Itanium 1 5-6 12-17 130-1000 (cycles)
Itanium2 2 6-10 20 35c+160ns http://www.7-cpu.com/cpu/Itanium2.html
AMD K8 12 40-70c +64ns http://www.anandtech.com/show/2139/3
Intel P4 2 19 43 200-210 (cycles) http://www.arsc.edu/files/arsc/phys693_lectures/Performance_I_Arch.pdf
AthlonXP 3k 3 20 180 (cycles) --//--
AthlonFX-51 3 13 125 (cycles) --//--
POWER4 4 12-20 ?? hundreds cycles --//--
Haswell 4 11-12 36 36c+57ns http://www.realworldtech.com/haswell-cpu/5/
And good source on latency data is 7cpu web-site, e.g. for Haswell: http://www.7-cpu.com/cpu/Haswell.html
More about lat_mem_rd program is in its man page or here on SO.
Widest read/writes are 128 bit (16 byte) SSE load/store. L1/L2/L3 caches have different bandwidths and latencies and these are of course CPU-specific. Typical L1 latency is 2 - 4 clocks on modern CPUs but you can usually issue 1 or 2 load instructions per clock.
I suspect there's a more specific question lurking here somewhere - what is it that you are actually trying to achieve ? Do you just want to write the fastest possible memcpy ?

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