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cgemm3m, cgemm_compact AND cgemm give poor results for small problem 24*64

Yosef__Elad
Beginner
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Hi all,

I using sequential API and direct call to multilply matrices.

 C = 1*conj(A')*A

A is 64*24 and C is 24*24 both are complex matrix (complex8).

I have arrays of matrices: A_ARR (filled with random values) and C_ARR (filled with zeros) both array have 1000 matrices.

My application is pinned to sinlge core and to corresponding RAM by NUMA id.

build cmd: icc -c -g -ipo -ipp -Ofast -DMKL_DIRECT_SEQ -xCORE-AVX2 *.c

Setup is Xeon E5-2699A v4,  64G ram on each numa

I run cblas_cgemm/cblas_cgemm3m/mkl_cgemm_compact in a loop over A_ARR and C_ARR (each time only 1 function) and I get really poor results (I'm measuring only the matrices multiplication time) 

I'm aware to the MKL "warn-up" issue and running cblas_cgemm in advance with measuring it time

cblas_cgemm(CblasRowMajor, CblasConjTrans, CblasNoTrans, m, n, k, &alpha, &A_ARR, m, &A_ARR, n, &beta, &C_ARR, m)

Gives- AVG 6.5ms MAX 8.6ms MIN 6.3ms

cblas_cgemm3m(CblasRowMajor, CblasConjTrans, CblasNoTrans, m, n, k, &alpha, &A_ARR[, m, &A_ARR[, n, &beta, &C_ARR[, m)

Gives- AVG 7.5ms MAX 12ms MIN 7.3ms

mkl_cgemm_compact(CblasRowMajor, CblasConjTrans, CblasNoTrans, m, n, k, &alpha, &a_arr_compact[, m, &a_arr_compact, n, &beta, &c_arr_compact[, m, COMPACT_FORMAT, 1) 

Gives- AVG 225ms MAX 231ms MIN 224ms

Note COMPACT_FORMAT is from mkl_get_format_compact();

Does any one can assist me with reducing with time it takes? 

It is also not clear to me why the compact API that should mostly vectorize  matrices multiplication it getting lowest results

 

Thanks

 

Elad

 

 

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Gennady_F_Intel
Moderator
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We need to check but probably compact API has not been optimized for such "big" sizes.  What version of MKL do you use? 

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Yosef__Elad
Beginner
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MKL version is latest 2019.4.243

Another odd thing is that cblas_cgemm show better results than cblas_cgemm3m.

the latest should imporve by ~25% according to docs

 

 

 

 

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Gennady_F_Intel
Moderator
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Could you share your benchmark to check these numbers on our side with the latest updates and CPU?

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Yosef__Elad
Beginner
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attached whole project

make AVX / AVX2 / AVX512 =y

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Gennady_F_Intel
Moderator
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thanks for the project, we will check

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Yosef__Elad
Beginner
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I tested it on AVX512 setup - Xeon Platinum 8176 2.10Gz

I can't see any improvments that comes from the AVX512.

Should I expect for any improvement against AVX2 on the above setup?

Can't find any info in release notes.

Elad

 

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Yosef__Elad
Beginner
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Closing this thread I fond the issue in my timer function

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