> El 4 may 2020, a las 12:24, Matthew Knepley <[email protected]> escribió:
> 
> 
> On Mon, May 4, 2020 at 6:12 AM Jose E. Roman <[email protected]> wrote:
> 
> 
> > 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! I am interested to see it.

Have a look at MR 50: https://gitlab.com/slepc/slepc/-/merge_requests/50

In the test example I have made it seems that the MatNest is not using VecNest 
internally. How can I modify the example to use VecNest?

Jose


> 
>    Matt
>  
> > 
> >   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/
> 
> 
> 
> -- 
> 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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