> El 4 may 2020, a las 12:06, Matthew Knepley <[email protected]> escribió:
> 
> On Mon, May 4, 2020 at 3:51 AM Walker Andreas <[email protected]> wrote:
> Hey everyone,
> 
> I wanted to give you a short update on this:
> 
>  - As suggested by Matt, I played around with the distribution of my cores 
> over nodes and changed to using one core per node only.
>  - After experimenting with a monolithic matrix instead of a MATNEST object, 
> I observed that the monolithic showed better speedup and changed to building 
> my problem matrix as monolithic matrix.
>  - I keep the subspace for the solver small which slightly improves the 
> runtimes
> 
> After these changes, I get near-perfect scaling with speedups above 56 for 64 
> cores (1 core/node) for example. Unfortunately I can’t really tell which of 
> the above changes contributed how much to this improvement.
> 
> Anyway, thanks everyone for your help!
> 
> Great! I am glad its scaling well.
> 
> 1) You should be able to up the number of cores per node as large as you 
> want, as long as you evaluate the scaling in terms of nodes., meaning use 
> that as the baseline.
> 
> 2) You can see how many cores per node are used efficiently by running 'make 
> streams'.
> 
> 3) We would be really interested in seeing the logs from runs where MATNEST 
> scales worse than AIJ. Maybe we could fix that.

Matt, this last issue is due to SLEPc, I am preparing a fix.


> 
>   Thanks,
> 
>     Matt
>  
> Best regards and stay healthy
> 
> Andreas
> 
>> Am 01.05.2020 um 14:45 schrieb Matthew Knepley <[email protected]>:
>> 
>> On Fri, May 1, 2020 at 8:32 AM Walker Andreas <[email protected]> 
>> wrote:
>> Hi Jed, Hi Jose,
>> 
>> Thank you very much for your suggestions.
>> 
>>  - I tried reducing the subspace to 64 which indeed reduced the runtime by 
>> around 20 percent (sometimes more) for 128 cores. I will check what the 
>> effect on the sequential runtime is.
>>  - Regarding MatNest, I can just look for the eigenvalues of a submatrix to 
>> see how the speedup is affected; I will check that. Replacing the full 
>> matnest with a contiguous matrix is definitely more work but, if it improves 
>> the performance, worth the work (we assume that the program will be reused a 
>> lot).
>>  - Petsc is configured with mumps, openblas, scalapack (among others). But I 
>> noticed no significant difference to when petsc is configured without them.
>>  - The number of iterations required by the solver does not depend on the 
>> number of cores.
>> 
>> Best regards and many thanks,
>> 
>> Let me just address something from a high level. These operations are not 
>> compute limited (for the most part), but limited by
>> bandwidth. Bandwidth is allocated by node, not by core, on these machines. 
>> That is why it important to understand how many
>> nodes you are using, not cores. A useful scaling test would be to fill up a 
>> single node (however many cores fit on one node), and
>> then increase the # of nodes. We would expect close to linear scaling in 
>> that case.
>> 
>>   Thanks,
>> 
>>      Matt
>>  
>> Andreas Walker
>> 
>> > Am 01.05.2020 um 14:12 schrieb Jed Brown <[email protected]>:
>> > 
>> > "Jose E. Roman" <[email protected]> writes:
>> > 
>> >> Comments related to PETSc:
>> >> 
>> >> - If you look at the "Reduct" column you will see that MatMult() is doing 
>> >> a lot of global reductions, which is bad for scaling. This is due to 
>> >> MATNEST (other Mat types do not do that). I don't know the details of 
>> >> MATNEST, maybe Matt can comment on this.
>> > 
>> > It is not intrinsic to MatNest, though use of MatNest incurs extra
>> > VecScatter costs.  If you use MatNest without VecNest, then
>> > VecGetSubVector incurs significant cost (including reductions).  I
>> > suspect it's likely that some SLEPc functionality is not available with
>> > VecNest.  A better option would be to optimize VecGetSubVector by
>> > caching the IS and subvector, at least in the contiguous case.
>> > 
>> > How difficult would it be for you to run with a monolithic matrix
>> > instead of MatNest?  It would certainly be better at amortizing
>> > communication costs.
>> > 
>> >> 
>> >> Comments related to SLEPc.
>> >> 
>> >> - The last rows (DSSolve, DSVectors, DSOther) correspond to "sequential" 
>> >> computations. In your case they take a non-negligible time (around 30 
>> >> seconds). You can try to reduce this time by reducing the size of the 
>> >> projected problem, e.g. running with -eps_nev 100 -eps_mpd 64 (see 
>> >> https://slepc.upv.es/documentation/current/docs/manualpages/EPS/EPSSetDimensions.html
>> >>  )
>> >> 
>> >> - In my previous comment about multithreaded BLAS, I was refering to 
>> >> configuring PETSc with MKL, OpenBLAS or similar. But anyway, I don't 
>> >> think this is relevant here.
>> >> 
>> >> - Regarding the number of iterations, yes the number of iterations should 
>> >> be the same for different runs if you keep the same number of processes, 
>> >> but when you change the number of processes there might be significant 
>> >> differences for some problems, that is the rationale of my suggestion. 
>> >> Anyway, in your case the fluctuation does not seem very important.
>> >> 
>> >> Jose
>> >> 
>> >> 
>> >>> El 1 may 2020, a las 10:07, Walker Andreas <[email protected]> 
>> >>> escribió:
>> >>> 
>> >>> Hi Matthew,
>> >>> 
>> >>> I just ran the same program on a single core. You can see the output of 
>> >>> -log_view below. As I see it, most functions have speedups of around 50 
>> >>> for 128 cores, also functions like matmult etc.
>> >>> 
>> >>> Best regards,
>> >>> 
>> >>> Andreas
>> >>> 
>> >>> ************************************************************************************************************************
>> >>> ***             WIDEN YOUR WINDOW TO 120 CHARACTERS.  Use 'enscript -r 
>> >>> -fCourier9' to print this document            ***
>> >>> ************************************************************************************************************************
>> >>> 
>> >>> ---------------------------------------------- PETSc Performance 
>> >>> Summary: ----------------------------------------------
>> >>> 
>> >>> ./Solver on a  named eu-a6-011-09 with 1 processor, by awalker Fri May  
>> >>> 1 04:03:07 2020
>> >>> Using Petsc Release Version 3.10.5, Mar, 28, 2019 
>> >>> 
>> >>>                         Max       Max/Min     Avg       Total 
>> >>> Time (sec):           3.092e+04     1.000   3.092e+04
>> >>> Objects:              6.099e+05     1.000   6.099e+05
>> >>> Flop:                 9.313e+13     1.000   9.313e+13  9.313e+13
>> >>> Flop/sec:             3.012e+09     1.000   3.012e+09  3.012e+09
>> >>> MPI Messages:         0.000e+00     0.000   0.000e+00  0.000e+00
>> >>> MPI Message Lengths:  0.000e+00     0.000   0.000e+00  0.000e+00
>> >>> MPI Reductions:       0.000e+00     0.000
>> >>> 
>> >>> Flop counting convention: 1 flop = 1 real number operation of type 
>> >>> (multiply/divide/add/subtract)
>> >>>                            e.g., VecAXPY() for real vectors of length N 
>> >>> --> 2N flop
>> >>>                            and VecAXPY() for complex vectors of length N 
>> >>> --> 8N flop
>> >>> 
>> >>> Summary of Stages:   ----- Time ------  ----- Flop ------  --- Messages 
>> >>> ---  -- Message Lengths --  -- Reductions --
>> >>>                        Avg     %Total     Avg     %Total    Count   
>> >>> %Total     Avg         %Total    Count   %Total 
>> >>> 0:      Main Stage: 3.0925e+04 100.0%  9.3134e+13 100.0%  0.000e+00   
>> >>> 0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
>> >>> 
>> >>> ------------------------------------------------------------------------------------------------------------------------
>> >>> See the 'Profiling' chapter of the users' manual for details on 
>> >>> interpreting output.
>> >>> Phase summary info:
>> >>>   Count: number of times phase was executed
>> >>>   Time and Flop: Max - maximum over all processors
>> >>>                  Ratio - ratio of maximum to minimum over all processors
>> >>>   Mess: number of messages sent
>> >>>   AvgLen: average message length (bytes)
>> >>>   Reduct: number of global reductions
>> >>>   Global: entire computation
>> >>>   Stage: stages of a computation. Set stages with PetscLogStagePush() 
>> >>> and PetscLogStagePop().
>> >>>      %T - percent time in this phase         %F - percent flop in this 
>> >>> phase
>> >>>      %M - percent messages in this phase     %L - percent message 
>> >>> lengths in this phase
>> >>>      %R - percent reductions in this phase
>> >>>   Total Mflop/s: 10e-6 * (sum of flop over all processors)/(max time 
>> >>> over all processors)
>> >>> ------------------------------------------------------------------------------------------------------------------------
>> >>> Event                Count      Time (sec)     Flop                      
>> >>>         --- Global ---  --- Stage ----  Total
>> >>>                   Max Ratio  Max     Ratio   Max  Ratio  Mess   AvgLen  
>> >>> Reduct  %T %F %M %L %R  %T %F %M %L %R Mflop/s
>> >>> ------------------------------------------------------------------------------------------------------------------------
>> >>> 
>> >>> --- Event Stage 0: Main Stage
>> >>> 
>> >>> MatMult           152338 1.0 8.2799e+03 1.0 8.20e+12 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 27  9  0  0  0  27  9  0  0  0   990
>> >>> MatMultAdd        609352 1.0 8.1229e+03 1.0 8.20e+12 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 26  9  0  0  0  26  9  0  0  0  1010
>> >>> MatConvert            30 1.0 1.5797e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatScale              10 1.0 4.7172e-02 1.0 6.73e+07 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0  1426
>> >>> MatAssemblyBegin     516 1.0 2.0695e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatAssemblyEnd       516 1.0 2.8933e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatZeroEntries         2 1.0 3.6038e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatView               10 1.0 2.4422e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatAXPY               40 1.0 3.1595e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatMatMult            60 1.0 1.3723e+01 1.0 1.24e+09 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0    90
>> >>> MatMatMultSym        100 1.0 1.3651e+01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatMatMultNum        100 1.0 7.5159e+00 1.0 2.06e+09 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0   274
>> >>> MatMatMatMult         40 1.0 1.8674e+01 1.0 1.66e+09 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0    89
>> >>> MatMatMatMultSym      40 1.0 1.1848e+01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> MatMatMatMultNum      40 1.0 6.8266e+00 1.0 1.66e+09 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0   243
>> >>> MatPtAP               40 1.0 1.9042e+01 1.0 1.66e+09 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0    87
>> >>> MatTrnMatMult         40 1.0 7.7990e+00 1.0 8.24e+08 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0   106
>> >>> DMPlexStratify         1 1.0 5.1223e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> DMPlexPrealloc         2 1.0 1.5242e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> VecSet            914053 1.0 1.4929e+02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> VecAssemblyBegin       1 1.0 1.3411e-07 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> VecAssemblyEnd         1 1.0 8.0094e-08 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> VecScatterBegin        1 1.0 2.6399e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> VecSetRandom          10 1.0 8.6088e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> EPSSetUp              10 1.0 2.9988e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> EPSSolve              10 1.0 2.8695e+04 1.0 9.31e+13 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 93100  0  0  0  93100  0  0  0  3246
>> >>> STSetUp               10 1.0 9.7291e-05 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> STApply           152338 1.0 8.2803e+03 1.0 8.20e+12 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 27  9  0  0  0  27  9  0  0  0   990
>> >>> BVCopy              1814 1.0 1.1076e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> BVMultVec         304639 1.0 9.8281e+03 1.0 3.34e+13 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 32 36  0  0  0  32 36  0  0  0  3397
>> >>> BVMultInPlace       1824 1.0 7.0999e+02 1.0 1.79e+13 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  2 19  0  0  0   2 19  0  0  0 25213
>> >>> BVDotVec          304639 1.0 9.8037e+03 1.0 3.36e+13 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 32 36  0  0  0  32 36  0  0  0  3427
>> >>> BVOrthogonalizeV  152348 1.0 1.9633e+04 1.0 6.70e+13 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00 63 72  0  0  0  63 72  0  0  0  3411
>> >>> BVScale           152348 1.0 3.7888e+01 1.0 5.32e+10 1.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0  1403
>> >>> BVSetRandom           10 1.0 8.6364e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> DSSolve             1824 1.0 1.7363e+01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> DSVectors           2797 1.0 1.2353e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> DSOther             1824 1.0 9.8627e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 
>> >>> 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>> ------------------------------------------------------------------------------------------------------------------------
>> >>> 
>> >>> Memory usage is given in bytes:
>> >>> 
>> >>> Object Type          Creations   Destructions     Memory  Descendants' 
>> >>> Mem.
>> >>> Reports information only for process 0.
>> >>> 
>> >>> --- Event Stage 0: Main Stage
>> >>> 
>> >>>           Container     1              1          584     0.
>> >>>    Distributed Mesh     1              1         5184     0.
>> >>>    GraphPartitioner     1              1          624     0.
>> >>>              Matrix   320            320   3469402576     0.
>> >>>           Index Set    53             53      2777932     0.
>> >>>   IS L to G Mapping     1              1       249320     0.
>> >>>             Section    13             11         7920     0.
>> >>>   Star Forest Graph     6              6         4896     0.
>> >>>     Discrete System     1              1          936     0.
>> >>>              Vector 609405          609405  857220847896     0.
>> >>>         Vec Scatter     1              1          704     0.
>> >>>              Viewer    22             11         9328     0.
>> >>>          EPS Solver    10             10        86360     0.
>> >>>  Spectral Transform    10             10         8400     0.
>> >>>       Basis Vectors    10             10       530336     0.
>> >>>         PetscRandom    10             10         6540     0.
>> >>>              Region    10             10         6800     0.
>> >>>       Direct Solver    10             10      9838880     0.
>> >>>       Krylov Solver    10             10        13920     0.
>> >>>      Preconditioner    10             10        10080     0.
>> >>> ========================================================================================================================
>> >>> Average time to get PetscTime(): 2.50991e-08
>> >>> #PETSc Option Table entries:
>> >>> -config=benchmark3.json
>> >>> -eps_converged_reason
>> >>> -log_view
>> >>> #End of PETSc Option Table entries
>> >>> Compiled without FORTRAN kernels
>> >>> Compiled with full precision matrices (default)
>> >>> sizeof(short) 2 sizeof(int) 4 sizeof(long) 8 sizeof(void*) 8 
>> >>> sizeof(PetscScalar) 8 sizeof(PetscInt) 4
>> >>> Configure options: 
>> >>> --prefix=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit
>> >>>  --with-ssl=0 --download-c2html=0 --download-sowing=0 --download-hwloc=0 
>> >>> CFLAGS="-ftree-vectorize -O2 -march=core-avx2 -fPIC -mavx2" FFLAGS= 
>> >>> CXXFLAGS="-ftree-vectorize -O2 -march=core-avx2 -fPIC -mavx2" 
>> >>> --with-cc=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpicc
>> >>>  
>> >>> --with-cxx=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpic++
>> >>>  
>> >>> --with-fc=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpif90
>> >>>  --with-precision=double --with-scalar-type=real 
>> >>> --with-shared-libraries=1 --with-debugging=0 --with-64-bit-indices=0 
>> >>> COPTFLAGS= FOPTFLAGS= CXXOPTFLAGS= 
>> >>> --with-blaslapack-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openblas-0.2.20-cot3cawsqf4pkxjwzjexaykbwn2ch3ii/lib/libopenblas.so
>> >>>  --with-x=0 --with-cxx-dialect=C++11 --with-boost=1 --with-clanguage=C 
>> >>> --with-scalapack-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/netlib-scalapack-2.0.2-bq6sqixlc4zwxpfrtbu7jt7twhps5ldv/lib/libscalapack.so
>> >>>  --with-scalapack=1 --with-metis=1 
>> >>> --with-metis-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk
>> >>>  --with-hdf5=1 
>> >>> --with-hdf5-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5
>> >>>  --with-hypre=1 
>> >>> --with-hypre-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne
>> >>>  --with-parmetis=1 
>> >>> --with-parmetis-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4
>> >>>  --with-mumps=1 
>> >>> --with-mumps-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b
>> >>>  --with-trilinos=1 
>> >>> --with-trilinos-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo
>> >>>  --with-fftw=0 --with-cxx-dialect=C++11 
>> >>> --with-superlu_dist-include=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/include
>> >>>  
>> >>> --with-superlu_dist-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/lib/libsuperlu_dist.a
>> >>>  --with-superlu_dist=1 
>> >>> --with-suitesparse-include=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/include
>> >>>  
>> >>> --with-suitesparse-lib="/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libumfpack.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libklu.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libcholmod.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libbtf.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libccolamd.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libcolamd.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libcamd.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libamd.so
>> >>>  
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libsuitesparseconfig.so
>> >>>  /lib64/librt.so" --with-suitesparse=1 
>> >>> --with-zlib-include=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/include
>> >>>  
>> >>> --with-zlib-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/lib/libz.so
>> >>>  --with-zlib=1
>> >>> -----------------------------------------
>> >>> Libraries compiled on 2020-01-22 15:21:53 on eu-c7-051-02 
>> >>> Machine characteristics: 
>> >>> Linux-3.10.0-862.14.4.el7.x86_64-x86_64-with-centos-7.5.1804-Core
>> >>> Using PETSc directory: 
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit
>> >>> Using PETSc arch: 
>> >>> -----------------------------------------
>> >>> 
>> >>> Using C compiler: 
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpicc
>> >>>  -ftree-vectorize -O2 -march=core-avx2 -fPIC -mavx2     
>> >>> Using Fortran compiler: 
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpif90
>> >>>        
>> >>> -----------------------------------------
>> >>> 
>> >>> Using include paths: 
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk/include
>> >>>  
>> >>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/include
>> >>> -----------------------------------------
>> >>> 
>> >>> Using C linker: 
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpicc
>> >>> Using Fortran linker: 
>> >>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpif90
>> >>> Using libraries: 
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit/lib
>> >>>  -lpetsc 
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/netlib-scalapack-2.0.2-bq6sqixlc4zwxpfrtbu7jt7twhps5ldv/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/netlib-scalapack-2.0.2-bq6sqixlc4zwxpfrtbu7jt7twhps5ldv/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib
>> >>>  /lib64/librt.so 
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openblas-0.2.20-cot3cawsqf4pkxjwzjexaykbwn2ch3ii/lib
>> >>>   
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openblas-0.2.20-cot3cawsqf4pkxjwzjexaykbwn2ch3ii/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk/lib
>> >>>   
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hwloc-1.11.9-a436y6rdahnn57u6oe6snwemjhcfmrso/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hwloc-1.11.9-a436y6rdahnn57u6oe6snwemjhcfmrso/lib
>> >>>  -Wl,-rpath,/cluster/apps/lsf/10.1/linux2.6-glibc2.3-x86_64/lib 
>> >>> -L/cluster/apps/lsf/10.1/linux2.6-glibc2.3-x86_64/lib 
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/lib
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib:/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib64
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib/gcc/x86_64-pc-linux-gnu/6.3.0
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib/gcc/x86_64-pc-linux-gnu/6.3.0
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib64
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib64
>> >>>  
>> >>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib
>> >>>  
>> >>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib
>> >>>  -lmuelu-adapters -lmuelu-interface -lmuelu -lstratimikos 
>> >>> -lstratimikosbelos -lstratimikosaztecoo -lstratimikosamesos 
>> >>> -lstratimikosml -lstratimikosifpack -lModeLaplace -lanasaziepetra 
>> >>> -lanasazi -lmapvarlib -lsuplib_cpp -lsuplib_c -lsuplib -lsupes 
>> >>> -laprepro_lib -lchaco -lio_info_lib -lIonit -lIotr -lIohb -lIogs -lIogn 
>> >>> -lIovs -lIopg -lIoexo_fac -lIopx -lIofx -lIoex -lIoss -lnemesis 
>> >>> -lexoIIv2for32 -lexodus_for -lexodus -lmapvarlib -lsuplib_cpp -lsuplib_c 
>> >>> -lsuplib -lsupes -laprepro_lib -lchaco -lio_info_lib -lIonit -lIotr 
>> >>> -lIohb -lIogs -lIogn -lIovs -lIopg -lIoexo_fac -lIopx -lIofx -lIoex 
>> >>> -lIoss -lnemesis -lexoIIv2for32 -lexodus_for -lexodus -lbelosxpetra 
>> >>> -lbelosepetra -lbelos -lml -lifpack -lpamgen_extras -lpamgen -lamesos 
>> >>> -lgaleri-xpetra -lgaleri-epetra -laztecoo -lisorropia -lxpetra-sup 
>> >>> -lxpetra -lthyraepetraext -lthyraepetra -lthyracore -lthyraepetraext 
>> >>> -lthyraepetra -lthyracore -lepetraext -ltrilinosss -ltriutils -lzoltan 
>> >>> -lepetra -lsacado -lrtop -lkokkoskernels -lteuchoskokkoscomm 
>> >>> -lteuchoskokkoscompat -lteuchosremainder -lteuchosnumerics -lteuchoscomm 
>> >>> -lteuchosparameterlist -lteuchosparser -lteuchoscore -lteuchoskokkoscomm 
>> >>> -lteuchoskokkoscompat -lteuchosremainder -lteuchosnumerics -lteuchoscomm 
>> >>> -lteuchosparameterlist -lteuchosparser -lteuchoscore -lkokkosalgorithms 
>> >>> -lkokkoscontainers -lkokkoscore -lkokkosalgorithms -lkokkoscontainers 
>> >>> -lkokkoscore -lgtest -lpthread -lcmumps -ldmumps -lsmumps -lzmumps 
>> >>> -lmumps_common -lpord -lscalapack -lumfpack -lklu -lcholmod -lbtf 
>> >>> -lccolamd -lcolamd -lcamd -lamd -lsuitesparseconfig -lsuperlu_dist 
>> >>> -lHYPRE -lopenblas -lhdf5hl_fortran -lhdf5_fortran -lhdf5_hl -lhdf5 
>> >>> -lparmetis -lmetis -lm -lz -lstdc++ -ldl -lmpi_usempif08 
>> >>> -lmpi_usempi_ignore_tkr -lmpi_mpifh -lmpi -lgfortran -lm -lgfortran -lm 
>> >>> -lgcc_s -lquadmath -lpthread -lstdc++ -ldl
>> >>> -----------------------------------------
>> >>> 
>> >>> 
>> >>>> Am 30.04.2020 um 17:14 schrieb Matthew Knepley <[email protected]>:
>> >>>> 
>> >>>> On Thu, Apr 30, 2020 at 10:55 AM Walker Andreas 
>> >>>> <[email protected]> wrote:
>> >>>> Hello everyone,
>> >>>> 
>> >>>> I have used SLEPc successfully on a FEM-related project. Even though it 
>> >>>> is very powerful overall, the speedup I measure is a bit below my 
>> >>>> expectations. Compared to using a single core, the speedup is for 
>> >>>> example around 1.8 for two cores but only maybe 50-60 for 128 cores and 
>> >>>> maybe 70 or 80 for 256 cores. Some details about my problem:
>> >>>> 
>> >>>> - The problem is based on meshes with up to 400k degrees of freedom. 
>> >>>> DMPlex is used for organizing it.
>> >>>> - ParMetis is used to partition the mesh. This yields a stiffness 
>> >>>> matrix where the vast majority of entries is in the diagonal blocks 
>> >>>> (i.e. looking at the rows owned by a core, there is a very dense 
>> >>>> square-shaped region around the diagonal and some loosely scattered 
>> >>>> nozeroes in the other columns).
>> >>>> - The actual matrix from which I need eigenvalues is a 2x2 block 
>> >>>> matrix, saved as MATNEST - matrix. Each of these four matrices is 
>> >>>> computed based on the stiffness matrix and has a similar size and 
>> >>>> nonzero pattern. For a mesh of 200k dofs, one such matrix has a size of 
>> >>>> about 174kx174k and on average about 40 nonzeroes per row.
>> >>>> - I use the default Krylov-Schur solver and look for the 100 smallest 
>> >>>> eigenvalues
>> >>>> - The output of -log_view for the 200k-dof - mesh described above run 
>> >>>> on 128 cores is at the end of this mail.
>> >>>> 
>> >>>> I noticed that the problem matrices are not perfectly balanced, i.e. 
>> >>>> the number of rows per core might vary between 2500 and 3000, for 
>> >>>> example. But I am not sure if this is the main reason for the poor 
>> >>>> speedup.
>> >>>> 
>> >>>> I tried to reduce the subspace size but without effect. I also 
>> >>>> attempted to use the shift-and-invert spectral transformation but the 
>> >>>> MATNEST-type prevents this.
>> >>>> 
>> >>>> Are there any suggestions to improve the speedup further or is this the 
>> >>>> maximum speedup that I can expect?
>> >>>> 
>> >>>> Can you also give us the performance for this problem on one node using 
>> >>>> the same number of cores per node? Then we can calculate speedup
>> >>>> and look at which functions are not speeding up.
>> >>>> 
>> >>>>  Thanks,
>> >>>> 
>> >>>>     Matt
>> >>>> 
>> >>>> Thanks a lot in advance,
>> >>>> 
>> >>>> Andreas Walker
>> >>>> 
>> >>>> m&m group
>> >>>> D-MAVT
>> >>>> ETH Zurich
>> >>>> 
>> >>>> ************************************************************************************************************************
>> >>>> ***             WIDEN YOUR WINDOW TO 120 CHARACTERS.  Use 'enscript -r 
>> >>>> -fCourier9' to print this document            ***
>> >>>> ************************************************************************************************************************
>> >>>> 
>> >>>> ---------------------------------------------- PETSc Performance 
>> >>>> Summary: ----------------------------------------------
>> >>>> 
>> >>>> ./Solver on a  named eu-g1-050-2 with 128 processors, by awalker Thu 
>> >>>> Apr 30 15:50:22 2020
>> >>>> Using Petsc Release Version 3.10.5, Mar, 28, 2019 
>> >>>> 
>> >>>>                         Max       Max/Min     Avg       Total 
>> >>>> Time (sec):           6.209e+02     1.000   6.209e+02
>> >>>> Objects:              6.068e+05     1.001   6.063e+05
>> >>>> Flop:                 9.230e+11     1.816   7.212e+11  9.231e+13
>> >>>> Flop/sec:             1.487e+09     1.816   1.161e+09  1.487e+11
>> >>>> MPI Messages:         1.451e+07     2.999   8.265e+06  1.058e+09
>> >>>> MPI Message Lengths:  6.062e+09     2.011   5.029e+02  5.321e+11
>> >>>> MPI Reductions:       1.512e+06     1.000
>> >>>> 
>> >>>> Flop counting convention: 1 flop = 1 real number operation of type 
>> >>>> (multiply/divide/add/subtract)
>> >>>>                            e.g., VecAXPY() for real vectors of length N 
>> >>>> --> 2N flop
>> >>>>                            and VecAXPY() for complex vectors of length 
>> >>>> N --> 8N flop
>> >>>> 
>> >>>> Summary of Stages:   ----- Time ------  ----- Flop ------  --- Messages 
>> >>>> ---  -- Message Lengths --  -- Reductions --
>> >>>>                        Avg     %Total     Avg     %Total    Count   
>> >>>> %Total     Avg         %Total    Count   %Total 
>> >>>> 0:      Main Stage: 6.2090e+02 100.0%  9.2309e+13 100.0%  1.058e+09 
>> >>>> 100.0%  5.029e+02      100.0%  1.512e+06 100.0% 
>> >>>> 
>> >>>> ------------------------------------------------------------------------------------------------------------------------
>> >>>> See the 'Profiling' chapter of the users' manual for details on 
>> >>>> interpreting output.
>> >>>> Phase summary info:
>> >>>>   Count: number of times phase was executed
>> >>>>   Time and Flop: Max - maximum over all processors
>> >>>>                  Ratio - ratio of maximum to minimum over all processors
>> >>>>   Mess: number of messages sent
>> >>>>   AvgLen: average message length (bytes)
>> >>>>   Reduct: number of global reductions
>> >>>>   Global: entire computation
>> >>>>   Stage: stages of a computation. Set stages with PetscLogStagePush() 
>> >>>> and PetscLogStagePop().
>> >>>>      %T - percent time in this phase         %F - percent flop in this 
>> >>>> phase
>> >>>>      %M - percent messages in this phase     %L - percent message 
>> >>>> lengths in this phase
>> >>>>      %R - percent reductions in this phase
>> >>>>   Total Mflop/s: 10e-6 * (sum of flop over all processors)/(max time 
>> >>>> over all processors)
>> >>>> ------------------------------------------------------------------------------------------------------------------------
>> >>>> Event                Count      Time (sec)     Flop                     
>> >>>>          --- Global ---  --- Stage ----  Total
>> >>>>                   Max Ratio  Max     Ratio   Max  Ratio  Mess   AvgLen  
>> >>>> Reduct  %T %F %M %L %R  %T %F %M %L %R Mflop/s
>> >>>> ------------------------------------------------------------------------------------------------------------------------
>> >>>> 
>> >>>> --- Event Stage 0: Main Stage
>> >>>> 
>> >>>> BuildTwoSided         20 1.0 2.3249e-01 2.2 0.00e+00 0.0 2.2e+04 
>> >>>> 4.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> BuildTwoSidedF       317 1.0 8.5016e-01 4.8 0.00e+00 0.0 2.1e+04 
>> >>>> 1.4e+04 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatMult           150986 1.0 2.1963e+02 1.3 8.07e+10 1.8 1.1e+09 
>> >>>> 5.0e+02 1.2e+06 31  9100100 80  31  9100100 80 37007
>> >>>> MatMultAdd        603944 1.0 1.6209e+02 1.4 8.07e+10 1.8 1.1e+09 
>> >>>> 5.0e+02 0.0e+00 23  9100100  0  23  9100100  0 50145
>> >>>> MatConvert            30 1.0 1.6488e-02 2.2 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatScale              10 1.0 1.0347e-03 3.9 6.68e+05 1.8 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0 65036
>> >>>> MatAssemblyBegin     916 1.0 8.6715e-01 1.4 0.00e+00 0.0 2.1e+04 
>> >>>> 1.4e+04 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatAssemblyEnd       916 1.0 2.0682e-01 1.1 0.00e+00 0.0 4.7e+05 
>> >>>> 1.3e+02 1.5e+03  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatZeroEntries        42 1.0 7.2787e-03 2.0 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatView               10 1.0 1.4816e+00 1.0 0.00e+00 0.0 6.4e+03 
>> >>>> 1.3e+05 3.0e+01  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatAXPY               40 1.0 1.0752e-02 1.9 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatTranspose          80 1.0 3.0198e-03 1.4 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatMatMult            60 1.0 3.0391e-01 1.0 7.82e+06 1.6 3.8e+05 
>> >>>> 2.8e+02 7.8e+02  0  0  0  0  0   0  0  0  0  0  2711
>> >>>> MatMatMultSym         60 1.0 2.4238e-01 1.0 0.00e+00 0.0 3.3e+05 
>> >>>> 2.4e+02 7.2e+02  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatMatMultNum         60 1.0 5.8508e-02 1.0 7.82e+06 1.6 4.7e+04 
>> >>>> 5.7e+02 0.0e+00  0  0  0  0  0   0  0  0  0  0 14084
>> >>>> MatPtAP               40 1.0 4.5617e-01 1.0 1.59e+07 1.6 3.3e+05 
>> >>>> 1.0e+03 6.4e+02  0  0  0  0  0   0  0  0  0  0  3649
>> >>>> MatPtAPSymbolic       40 1.0 2.6002e-01 1.0 0.00e+00 0.0 1.7e+05 
>> >>>> 6.5e+02 2.8e+02  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatPtAPNumeric        40 1.0 1.9293e-01 1.0 1.59e+07 1.6 1.5e+05 
>> >>>> 1.5e+03 3.2e+02  0  0  0  0  0   0  0  0  0  0  8629
>> >>>> MatTrnMatMult         40 1.0 2.3801e-01 1.0 6.09e+06 1.8 1.8e+05 
>> >>>> 1.0e+03 6.4e+02  0  0  0  0  0   0  0  0  0  0  2442
>> >>>> MatTrnMatMultSym      40 1.0 1.6962e-01 1.0 0.00e+00 0.0 1.7e+05 
>> >>>> 4.4e+02 6.4e+02  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatTrnMatMultNum      40 1.0 6.9000e-02 1.0 6.09e+06 1.8 9.7e+03 
>> >>>> 1.1e+04 0.0e+00  0  0  0  0  0   0  0  0  0  0  8425
>> >>>> MatGetLocalMat       240 1.0 4.9149e-02 1.6 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatGetBrAoCol        160 1.0 2.0470e-02 1.6 0.00e+00 0.0 3.3e+05 
>> >>>> 4.1e+02 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> MatTranspose_SeqAIJ_FAST      80 1.0 2.9940e-03 1.4 0.00e+00 0.0 
>> >>>> 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> Mesh Partition         1 1.0 1.4825e+00 1.0 0.00e+00 0.0 9.8e+04 
>> >>>> 6.9e+01 6.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> Mesh Migration         1 1.0 3.6680e-02 1.0 0.00e+00 0.0 1.5e+03 
>> >>>> 1.4e+04 6.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DMPlexDistribute       1 1.0 1.5269e+00 1.0 0.00e+00 0.0 1.0e+05 
>> >>>> 3.5e+02 1.2e+01  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DMPlexDistCones        1 1.0 1.8845e-02 1.2 0.00e+00 0.0 1.0e+03 
>> >>>> 1.7e+04 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DMPlexDistLabels       1 1.0 9.7280e-04 1.2 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 3.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DMPlexDistData         1 1.0 3.1499e-01 1.4 0.00e+00 0.0 9.8e+04 
>> >>>> 4.3e+01 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DMPlexStratify         2 1.0 9.3421e-02 1.8 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 2.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DMPlexPrealloc         2 1.0 3.5980e-02 1.0 0.00e+00 0.0 4.0e+04 
>> >>>> 1.8e+03 3.0e+01  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFSetGraph            20 1.0 1.6069e-05 2.0 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFSetUp               20 1.0 2.8043e-01 1.9 0.00e+00 0.0 6.7e+04 
>> >>>> 5.0e+02 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFBcastBegin          25 1.0 3.9653e-02 2.5 0.00e+00 0.0 6.1e+04 
>> >>>> 4.9e+02 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFBcastEnd            25 1.0 9.0128e-02 1.6 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFReduceBegin         10 1.0 4.3473e-04 5.5 0.00e+00 0.0 7.4e+03 
>> >>>> 4.0e+03 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFReduceEnd           10 1.0 5.7962e-03 1.3 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFFetchOpBegin         2 1.0 1.6069e-0434.7 0.00e+00 0.0 1.8e+03 
>> >>>> 4.4e+03 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> SFFetchOpEnd           2 1.0 8.9251e-04 2.6 0.00e+00 0.0 1.8e+03 
>> >>>> 4.4e+03 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> VecSet            302179 1.0 1.3128e+00 2.3 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> VecAssemblyBegin       1 1.0 1.3844e-03 7.3 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> VecAssemblyEnd         1 1.0 3.4710e-05 4.1 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> VecScatterBegin   603945 1.0 2.2874e+01 4.4 0.00e+00 0.0 1.1e+09 
>> >>>> 5.0e+02 1.0e+00  2  0100100  0   2  0100100  0     0
>> >>>> VecScatterEnd     603944 1.0 8.2651e+01 4.5 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  7  0  0  0  0   7  0  0  0  0     0
>> >>>> VecSetRandom          11 1.0 2.7061e-03 3.1 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> EPSSetUp              10 1.0 5.0371e-02 1.1 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 4.0e+01  0  0  0  0  0   0  0  0  0  0     0
>> >>>> EPSSolve              10 1.0 6.1329e+02 1.0 9.23e+11 1.8 1.1e+09 
>> >>>> 5.0e+02 1.5e+06 99100100100100  99100100100100 150509
>> >>>> STSetUp               10 1.0 2.5475e-04 2.9 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> STApply           150986 1.0 2.1997e+02 1.3 8.07e+10 1.8 1.1e+09 
>> >>>> 5.0e+02 1.2e+06 31  9100100 80  31  9100100 80 36950
>> >>>> BVCopy              1791 1.0 5.1953e-03 1.5 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> BVMultVec         301925 1.0 1.5007e+02 3.1 3.31e+11 1.8 0.0e+00 
>> >>>> 0.0e+00 0.0e+00 14 36  0  0  0  14 36  0  0  0 220292
>> >>>> BVMultInPlace       1801 1.0 8.0080e+00 1.8 1.78e+11 1.8 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  1 19  0  0  0   1 19  0  0  0 2222543
>> >>>> BVDotVec          301925 1.0 3.2807e+02 1.4 3.33e+11 1.8 0.0e+00 
>> >>>> 0.0e+00 3.0e+05 47 36  0  0 20  47 36  0  0 20 101409
>> >>>> BVOrthogonalizeV  150996 1.0 4.0292e+02 1.1 6.64e+11 1.8 0.0e+00 
>> >>>> 0.0e+00 3.0e+05 62 72  0  0 20  62 72  0  0 20 164619
>> >>>> BVScale           150996 1.0 4.1660e-01 3.2 5.27e+08 1.8 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0 126494
>> >>>> BVSetRandom           10 1.0 2.5061e-03 2.9 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DSSolve             1801 1.0 2.0764e+01 1.1 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  3  0  0  0  0   3  0  0  0  0     0
>> >>>> DSVectors           2779 1.0 1.2691e-01 1.1 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0     0
>> >>>> DSOther             1801 1.0 1.2944e+01 1.0 0.00e+00 0.0 0.0e+00 
>> >>>> 0.0e+00 0.0e+00  2  0  0  0  0   2  0  0  0  0     0
>> >>>> ------------------------------------------------------------------------------------------------------------------------
>> >>>> 
>> >>>> Memory usage is given in bytes:
>> >>>> 
>> >>>> Object Type          Creations   Destructions     Memory  Descendants' 
>> >>>> Mem.
>> >>>> Reports information only for process 0.
>> >>>> 
>> >>>> --- Event Stage 0: Main Stage
>> >>>> 
>> >>>>           Container     1              1          584     0.
>> >>>>    Distributed Mesh     6              6        29160     0.
>> >>>>    GraphPartitioner     2              2         1244     0.
>> >>>>              Matrix  1104           1104    136615232     0.
>> >>>>           Index Set   930            930      9125912     0.
>> >>>>   IS L to G Mapping     3              3      2235608     0.
>> >>>>             Section    28             26        18720     0.
>> >>>>   Star Forest Graph    30             30        25632     0.
>> >>>>     Discrete System     6              6         5616     0.
>> >>>>         PetscRandom    11             11         7194     0.
>> >>>>              Vector 604372          604372   8204816368     0.
>> >>>>         Vec Scatter   203            203       272192     0.
>> >>>>              Viewer    21             10         8480     0.
>> >>>>          EPS Solver    10             10        86360     0.
>> >>>>  Spectral Transform    10             10         8400     0.
>> >>>>       Basis Vectors    10             10       530848     0.
>> >>>>              Region    10             10         6800     0.
>> >>>>       Direct Solver    10             10      9838880     0.
>> >>>>       Krylov Solver    10             10        13920     0.
>> >>>>      Preconditioner    10             10        10080     0.
>> >>>> ========================================================================================================================
>> >>>> Average time to get PetscTime(): 3.49944e-08
>> >>>> Average time for MPI_Barrier(): 5.842e-06
>> >>>> Average time for zero size MPI_Send(): 8.72551e-06
>> >>>> #PETSc Option Table entries:
>> >>>> -config=benchmark3.json
>> >>>> -log_view
>> >>>> #End of PETSc Option Table entries
>> >>>> Compiled without FORTRAN kernels
>> >>>> Compiled with full precision matrices (default)
>> >>>> sizeof(short) 2 sizeof(int) 4 sizeof(long) 8 sizeof(void*) 8 
>> >>>> sizeof(PetscScalar) 8 sizeof(PetscInt) 4
>> >>>> Configure options: 
>> >>>> --prefix=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit
>> >>>>  --with-ssl=0 --download-c2html=0 --download-sowing=0 
>> >>>> --download-hwloc=0 CFLAGS="-ftree-vectorize -O2 -march=core-avx2 -fPIC 
>> >>>> -mavx2" FFLAGS= CXXFLAGS="-ftree-vectorize -O2 -march=core-avx2 -fPIC 
>> >>>> -mavx2" 
>> >>>> --with-cc=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpicc
>> >>>>  
>> >>>> --with-cxx=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpic++
>> >>>>  
>> >>>> --with-fc=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpif90
>> >>>>  --with-precision=double --with-scalar-type=real 
>> >>>> --with-shared-libraries=1 --with-debugging=0 --with-64-bit-indices=0 
>> >>>> COPTFLAGS= FOPTFLAGS= CXXOPTFLAGS= 
>> >>>> --with-blaslapack-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openblas-0.2.20-cot3cawsqf4pkxjwzjexaykbwn2ch3ii/lib/libopenblas.so
>> >>>>  --with-x=0 --with-cxx-dialect=C++11 --with-boost=1 --with-clanguage=C 
>> >>>> --with-scalapack-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/netlib-scalapack-2.0.2-bq6sqixlc4zwxpfrtbu7jt7twhps5ldv/lib/libscalapack.so
>> >>>>  --with-scalapack=1 --with-metis=1 
>> >>>> --with-metis-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk
>> >>>>  --with-hdf5=1 
>> >>>> --with-hdf5-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5
>> >>>>  --with-hypre=1 
>> >>>> --with-hypre-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne
>> >>>>  --with-parmetis=1 
>> >>>> --with-parmetis-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4
>> >>>>  --with-mumps=1 
>> >>>> --with-mumps-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b
>> >>>>  --with-trilinos=1 
>> >>>> --with-trilinos-dir=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo
>> >>>>  --with-fftw=0 --with-cxx-dialect=C++11 
>> >>>> --with-superlu_dist-include=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/include
>> >>>>  
>> >>>> --with-superlu_dist-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/lib/libsuperlu_dist.a
>> >>>>  --with-superlu_dist=1 
>> >>>> --with-suitesparse-include=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/include
>> >>>>  
>> >>>> --with-suitesparse-lib="/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libumfpack.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libklu.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libcholmod.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libbtf.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libccolamd.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libcolamd.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libcamd.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libamd.so
>> >>>>  
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib/libsuitesparseconfig.so
>> >>>>  /lib64/librt.so" --with-suitesparse=1 
>> >>>> --with-zlib-include=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/include
>> >>>>  
>> >>>> --with-zlib-lib=/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/lib/libz.so
>> >>>>  --with-zlib=1
>> >>>> -----------------------------------------
>> >>>> Libraries compiled on 2020-01-22 15:21:53 on eu-c7-051-02 
>> >>>> Machine characteristics: 
>> >>>> Linux-3.10.0-862.14.4.el7.x86_64-x86_64-with-centos-7.5.1804-Core
>> >>>> Using PETSc directory: 
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit
>> >>>> Using PETSc arch: 
>> >>>> -----------------------------------------
>> >>>> 
>> >>>> Using C compiler: 
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpicc
>> >>>>  -ftree-vectorize -O2 -march=core-avx2 -fPIC -mavx2     
>> >>>> Using Fortran compiler: 
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpif90
>> >>>>        
>> >>>> -----------------------------------------
>> >>>> 
>> >>>> Using include paths: 
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk/include
>> >>>>  
>> >>>> -I/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/include
>> >>>> -----------------------------------------
>> >>>> 
>> >>>> Using C linker: 
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpicc
>> >>>> Using Fortran linker: 
>> >>>> /cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/bin/mpif90
>> >>>> Using libraries: 
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/petsc-3.10.5-3czpbqhprn65yalty4o46knmhytixlit/lib
>> >>>>  -lpetsc 
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/trilinos-12.14.1-hcdtxkqirqt6wkui3vkie5qse64payqo/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/mumps-5.1.1-36fzslrywwsg7gxnoxbjbzwuz6o74n6b/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/netlib-scalapack-2.0.2-bq6sqixlc4zwxpfrtbu7jt7twhps5ldv/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/netlib-scalapack-2.0.2-bq6sqixlc4zwxpfrtbu7jt7twhps5ldv/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/suite-sparse-5.1.0-sk4v2rs7dfpese3zgsyigwtv2w66v2gz/lib
>> >>>>  /lib64/librt.so 
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/superlu-dist-6.1.1-ejpmx43wk4vplnmry5n5njvgqvcvfe6x/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hypre-2.14.0-ly5dmcaty5wx4opqwspvoim6zss6sxne/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openblas-0.2.20-cot3cawsqf4pkxjwzjexaykbwn2ch3ii/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openblas-0.2.20-cot3cawsqf4pkxjwzjexaykbwn2ch3ii/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hdf5-1.10.1-sbxt5qlg2pojshva2b6kdflsy64i4rs5/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/parmetis-4.0.3-ik3r6faxeb6uzyywppuc2niuvivwiux4/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/metis-5.1.0-bqbfmcvyqigdaeetkg6fuhdh4eplu3fk/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/zlib-1.2.11-bu2rglshnlxrwc24334r76jr34jm2fxy/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hwloc-1.11.9-a436y6rdahnn57u6oe6snwemjhcfmrso/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/hwloc-1.11.9-a436y6rdahnn57u6oe6snwemjhcfmrso/lib
>> >>>>  -Wl,-rpath,/cluster/apps/lsf/10.1/linux2.6-glibc2.3-x86_64/lib 
>> >>>> -L/cluster/apps/lsf/10.1/linux2.6-glibc2.3-x86_64/lib 
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-6.3.0/openmpi-3.0.1-k6n5k3l3baqlkdw3w7il7dwb6wilr6r6/lib
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib:/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib64
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib/gcc/x86_64-pc-linux-gnu/6.3.0
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib/gcc/x86_64-pc-linux-gnu/6.3.0
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib64
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib64
>> >>>>  
>> >>>> -Wl,-rpath,/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib
>> >>>>  
>> >>>> -L/cluster/spack/apps/linux-centos7-x86_64/gcc-4.8.5/gcc-6.3.0-sqhtfh32p5gerbkvi5hih7cfvcpmewvj/lib
>> >>>>  -lmuelu-adapters -lmuelu-interface -lmuelu -lstratimikos 
>> >>>> -lstratimikosbelos -lstratimikosaztecoo -lstratimikosamesos 
>> >>>> -lstratimikosml -lstratimikosifpack -lModeLaplace -lanasaziepetra 
>> >>>> -lanasazi -lmapvarlib -lsuplib_cpp -lsuplib_c -lsuplib -lsupes 
>> >>>> -laprepro_lib -lchaco -lio_info_lib -lIonit -lIotr -lIohb -lIogs -lIogn 
>> >>>> -lIovs -lIopg -lIoexo_fac -lIopx -lIofx -lIoex -lIoss -lnemesis 
>> >>>> -lexoIIv2for32 -lexodus_for -lexodus -lmapvarlib -lsuplib_cpp 
>> >>>> -lsuplib_c -lsuplib -lsupes -laprepro_lib -lchaco -lio_info_lib -lIonit 
>> >>>> -lIotr -lIohb -lIogs -lIogn -lIovs -lIopg -lIoexo_fac -lIopx -lIofx 
>> >>>> -lIoex -lIoss -lnemesis -lexoIIv2for32 -lexodus_for -lexodus 
>> >>>> -lbelosxpetra -lbelosepetra -lbelos -lml -lifpack -lpamgen_extras 
>> >>>> -lpamgen -lamesos -lgaleri-xpetra -lgaleri-epetra -laztecoo -lisorropia 
>> >>>> -lxpetra-sup -lxpetra -lthyraepetraext -lthyraepetra -lthyracore 
>> >>>> -lthyraepetraext -lthyraepetra -lthyracore -lepetraext -ltrilinosss 
>> >>>> -ltriutils -lzoltan -lepetra -lsacado -lrtop -lkokkoskernels 
>> >>>> -lteuchoskokkoscomm -lteuchoskokkoscompat -lteuchosremainder 
>> >>>> -lteuchosnumerics -lteuchoscomm -lteuchosparameterlist -lteuchosparser 
>> >>>> -lteuchoscore -lteuchoskokkoscomm -lteuchoskokkoscompat 
>> >>>> -lteuchosremainder -lteuchosnumerics -lteuchoscomm 
>> >>>> -lteuchosparameterlist -lteuchosparser -lteuchoscore -lkokkosalgorithms 
>> >>>> -lkokkoscontainers -lkokkoscore -lkokkosalgorithms -lkokkoscontainers 
>> >>>> -lkokkoscore -lgtest -lpthread -lcmumps -ldmumps -lsmumps -lzmumps 
>> >>>> -lmumps_common -lpord -lscalapack -lumfpack -lklu -lcholmod -lbtf 
>> >>>> -lccolamd -lcolamd -lcamd -lamd -lsuitesparseconfig -lsuperlu_dist 
>> >>>> -lHYPRE -lopenblas -lhdf5hl_fortran -lhdf5_fortran -lhdf5_hl -lhdf5 
>> >>>> -lparmetis -lmetis -lm -lz -lstdc++ -ldl -lmpi_usempif08 
>> >>>> -lmpi_usempi_ignore_tkr -lmpi_mpifh -lmpi -lgfortran -lm -lgfortran -lm 
>> >>>> -lgcc_s -lquadmath -lpthread -lstdc++ -ldl
>> >>>> -----------------------------------------
>> >>>> 
>> >>>> 
>> >>>> 
>> >>>> -- 
>> >>>> What most experimenters take for granted before they begin their 
>> >>>> experiments is infinitely more interesting than any results to which 
>> >>>> their experiments lead.
>> >>>> -- Norbert Wiener
>> >>>> 
>> >>>> https://www.cse.buffalo.edu/~knepley/
>> >>> 
>> 
>> 
>> 
>> -- 
>> What most experimenters take for granted before they begin their experiments 
>> is infinitely more interesting than any results to which their experiments 
>> lead.
>> -- Norbert Wiener
>> 
>> https://www.cse.buffalo.edu/~knepley/
> 
> 
> 
> -- 
> What most experimenters take for granted before they begin their experiments 
> is infinitely more interesting than any results to which their experiments 
> lead.
> -- Norbert Wiener
> 
> https://www.cse.buffalo.edu/~knepley/

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