[petsc-users] Convergence of AMG
Jed Brown
jed at jedbrown.org
Mon Oct 29 12:21:17 CDT 2018
https://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/PC/PCGAMGSetSquareGraph.html
Squaring the graph speeds up coarsening at the expense of convergence
rate.
Manav Bhatia <bhatiamanav at gmail.com> writes:
> Hi,
>
> I am trying to understand the meaning of “pc_gamg_square_graph”. I did not find a specific reference to “square” in the tutorial here: http://user.it.uu.se/~maya/Projects/3phase/AMG_parallel_Falgout.pdf <http://user.it.uu.se/~maya/Projects/3phase/AMG_parallel_Falgout.pdf> .
>
> What would be a good place to look for some background on this?
>
> Regards,
> Manav
>
>> On Oct 29, 2018, at 11:25 AM, Manav Bhatia <bhatiamanav at gmail.com> wrote:
>>
>> Some more results on iterations and CPU time:
>>
>>
>> 1) -pc_mg_levels 2 -pc_gamg_square_graph 0 -mg_levels_ksp_max_it 4 -pc_gamg_threshold 0.04: 9 KSP iterations, 66 secs
>> 2) -pc_mg_levels 2 -pc_gamg_square_graph 0 -mg_levels_ksp_max_it 4: 9 KSP iterations, 66 secs
>> 3) -pc_mg_levels 2 -mg_levels_ksp_max_it 4 -pc_gamg_threshold 0.04: 12 KSP iterations, 29 secs
>> 4) -pc_mg_levels 2 -mg_levels_ksp_max_it 4: 12 KSP iterations, 28 secs
To reduce costs further, you can try -mg_levels_ksp_type richardson
and/or reducing the number of iterations, as in -mg_levels_ksp_max_it 2.
>> So, it appears that “-pc_gamg_square_graph 0” leads to a significant increase in CPU time.
>>
>> What would be a more reasonable value for “-pc_gamg_square_graph” ?
It is 1 by default. Not squaring the graph leads to a first coarsening
that is still pretty large (and often sees some stencil growth) so the
grid complexity can be high.
>> Regards,
>> Manav
>>
>>
>>
>> 1)
>> -pc_mg_levels 2 -pc_gamg_square_graph 0 -mg_levels_ksp_max_it 4 -pc_gamg_threshold 0.04
>>
>> Summary of Stages: ----- Time ------ ----- Flop ----- --- Messages --- -- Message Lengths -- -- Reductions --
>> Avg %Total Avg %Total counts %Total Avg %Total counts %Total
>> 0: Main Stage: 6.5896e+01 100.0% 1.3377e+11 100.0% 3.138e+03 100.0% 5.425e+04 100.0% 5.120e+02 98.7%
>>
>> ------------------------------------------------------------------------------------------------------------------------
>> ------------------------------------------------------------------------------------------------------------------------
>> Event Count Time (sec) Flop --- Global --- --- Stage --- Total
>> Max Ratio Max Ratio Max Ratio Mess Avg len Reduct %T %F %M %L %R %T %F %M %L %R Mflop/s
>> ------------------------------------------------------------------------------------------------------------------------
>>
>> --- Event Stage 0: Main Stage
>>
>> BuildTwoSided 1 1.0 1.0610e-04 4.6 0.00e+00 0.0 5.0e+00 4.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> BuildTwoSidedF 69 1.0 3.3554e-01 2.0 0.00e+00 0.0 5.5e+01 1.1e+05 0.0e+00 0 0 2 4 0 0 0 2 4 0 0
>> VecMDot 34 1.0 6.3575e-02 1.4 4.66e+07 1.0 0.0e+00 0.0e+00 3.4e+01 0 0 0 0 7 0 0 0 0 7 2907
>> VecNorm 41 1.0 1.3934e-02 1.6 1.12e+07 1.0 0.0e+00 0.0e+00 4.1e+01 0 0 0 0 8 0 0 0 0 8 3199
>> VecScale 38 1.0 5.5904e-03 1.0 5.20e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 3695
>> VecCopy 44 1.0 1.1493e-02 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
>> VecSet 129 1.0 1.9488e-02 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
>> VecAXPY 3 1.0 1.0059e-03 1.2 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 3243
>> VecAYPX 120 1.0 4.7344e-02 1.2 1.92e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1607
>> VecAXPBYCZ 80 1.0 3.9797e-02 1.0 5.48e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 5464
>> VecWAXPY 1 1.0 6.1512e-04 1.3 1.37e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 884
>> VecMAXPY 37 1.0 5.3887e-02 1.0 5.45e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 4015
>> VecAssemblyBegin 60 1.0 1.1819e-01 9.8 0.00e+00 0.0 2.5e+01 4.2e+03 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> VecAssemblyEnd 60 1.0 1.5020e-04 1.2 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
>> VecPointwiseMult 11 1.0 5.6922e-03 1.2 1.51e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1050
>> VecScatterBegin 226 1.0 1.8359e-02 1.1 0.00e+00 0.0 2.1e+03 2.0e+04 0.0e+00 0 0 66 25 0 0 0 66 25 0 0
>> VecScatterEnd 226 1.0 4.3040e+01369.5 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 49 0 0 0 0 49 0 0 0 0 0
>> VecSetRandom 1 1.0 1.7331e-03 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
>> VecReduceArith 3 1.0 4.8590e-04 1.0 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 6713
>> VecReduceComm 1 1.0 1.5974e-05 3.9 0.00e+00 0.0 0.0e+00 0.0e+00 1.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> VecNormalize 38 1.0 1.9025e-02 1.4 1.56e+07 1.0 0.0e+00 0.0e+00 3.8e+01 0 0 0 0 7 0 0 0 0 7 3257
>> MatMult 129 1.0 1.9964e+00 1.0 1.88e+09 1.0 1.3e+03 6.9e+03 0.0e+00 3 6 41 5 0 3 6 41 5 0 3742
>> MatMultAdd 10 1.0 4.2991e+011654.1 5.73e+07 1.0 3.0e+01 2.1e+05 0.0e+00 49 0 1 4 0 49 0 1 4 0 5
>> MatMultTranspose 10 1.0 6.5614e-02 1.1 5.73e+07 1.0 3.0e+01 2.1e+05 0.0e+00 0 0 1 4 0 0 0 1 4 0 3472
>> MatSolve 10 0.0 1.0351e+00 0.0 2.19e+09 0.0 0.0e+00 0.0e+00 0.0e+00 0 2 0 0 0 0 2 0 0 0 2112
>> MatSOR 111 1.0 3.3396e+00 1.0 1.63e+09 1.0 0.0e+00 0.0e+00 0.0e+00 5 5 0 0 0 5 5 0 0 0 1933
>> MatLUFactorSym 1 1.0 2.3057e+00193417.5 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 1 0 0 0 0 1 0 0 0 0 0
>> MatLUFactorNum 1 1.0 3.9508e+018285439.5 1.14e+11 0.0 0.0e+00 0.0e+00 0.0e+00 15 85 0 0 0 15 85 0 0 0 2879
>> MatScale 3 1.0 1.2049e-02 1.2 6.14e+06 1.0 1.0e+01 1.2e+03 0.0e+00 0 0 0 0 0 0 0 0 0 0 2026
>> MatResidual 10 1.0 1.6667e-01 1.1 1.47e+08 1.0 1.0e+02 6.9e+03 0.0e+00 0 0 3 0 0 0 0 3 0 0 3507
>> MatAssemblyBegin 25 1.0 2.2748e-01 3.0 0.00e+00 0.0 3.0e+01 2.0e+05 0.0e+00 0 0 1 3 0 0 0 1 3 0 0
>> MatAssemblyEnd 25 1.0 2.6301e-01 1.0 0.00e+00 0.0 1.2e+02 3.4e+03 6.4e+01 0 0 4 0 12 0 0 4 0 12 0
>> MatGetRow 593372 1.0 5.4903e-02 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
>> MatGetRowIJ 1 0.0 1.3105e-02 0.0 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
>> MatCreateSubMat 2 1.0 6.8462e-01 1.0 0.00e+00 0.0 2.1e+01 4.5e+06 3.2e+01 1 0 1 56 6 1 0 1 56 6 0
>> MatGetOrdering 1 0.0 5.0859e-02 0.0 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
>> MatCoarsen 1 1.0 1.8659e-03 1.1 0.00e+00 0.0 5.5e+01 5.2e+02 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> MatZeroEntries 9 1.0 1.5140e-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
>> MatView 5 1.7 1.4541e-03 3.2 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> MatAXPY 1 1.0 5.6004e-02 1.2 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
>> MatMatMult 1 1.0 3.1570e-01 1.0 8.75e+07 1.0 6.0e+01 1.8e+04 1.3e+01 0 0 2 1 3 0 0 2 1 3 1101
>> MatMatMultSym 1 1.0 2.4168e-01 1.0 0.00e+00 0.0 5.0e+01 1.3e+04 1.2e+01 0 0 2 0 2 0 0 2 0 2 0
>> MatMatMultNum 1 1.0 7.3501e-02 1.0 8.75e+07 1.0 1.0e+01 4.1e+04 0.0e+00 0 0 0 0 0 0 0 0 0 0 4729
>> MatPtAP 1 1.0 1.3500e+00 1.0 5.79e+08 1.0 9.5e+01 7.0e+04 1.6e+01 2 2 3 4 3 2 2 3 4 3 1706
>> MatPtAPSymbolic 1 1.0 9.7516e-01 1.0 0.00e+00 0.0 6.0e+01 5.5e+04 7.0e+00 1 0 2 2 1 1 0 2 2 1 0
>> MatPtAPNumeric 1 1.0 3.7405e-01 1.0 5.79e+08 1.0 3.5e+01 9.7e+04 8.0e+00 1 2 1 2 2 1 2 1 2 2 6157
>> MatGetLocalMat 3 1.0 5.3542e-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
>> MatGetBrAoCol 3 1.0 2.5439e-03 1.1 0.00e+00 0.0 7.0e+01 5.0e+04 0.0e+00 0 0 2 2 0 0 0 2 2 0 0
>> SNESSolve 1 1.0 5.9280e+01 1.0 1.20e+1127.3 3.0e+03 4.9e+04 4.6e+02 90100 97 88 89 90100 97 88 90 2256
>> SNESFunctionEval 2 1.0 4.4243e+00 1.0 5.48e+05 1.0 9.0e+02 1.5e+04 1.7e+02 7 0 29 8 32 7 0 29 8 33 0
>> SNESJacobianEval 1 1.0 3.1546e+00 1.0 0.00e+00 0.0 1.1e+02 6.9e+04 1.9e+01 5 0 3 4 4 5 0 3 4 4 0
>> SNESLineSearch 1 1.0 2.2030e+00 1.0 1.23e+06 1.0 4.5e+02 1.5e+04 8.5e+01 3 0 14 4 16 3 0 14 4 17 2
>> SFSetGraph 1 1.0 2.1458e-06 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
>> SFSetUp 1 1.0 1.5092e-04 2.4 0.00e+00 0.0 1.5e+01 3.8e+02 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> SFBcastBegin 4 1.0 4.3154e-05 1.0 0.00e+00 0.0 4.0e+01 5.8e+02 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> SFBcastEnd 4 1.0 3.8099e-0432.6 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
>> KSPGMRESOrthog 29 1.0 1.0221e-01 1.2 8.49e+07 1.0 0.0e+00 0.0e+00 2.9e+01 0 0 0 0 6 0 0 0 0 6 3298
>> KSPSetUp 6 1.0 9.9370e-03 1.2 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
>> KSPSolve 1 1.0 5.1697e+01 1.0 1.20e+1127.3 2.0e+03 6.4e+04 2.7e+02 78100 65 76 52 78100 65 76 53 2587
>> PCGAMGGraph_AGG 1 1.0 4.4754e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 1 0 2 0 5 1 0 2 0 5 4
>> PCGAMGCoarse_AGG 1 1.0 2.5029e-03 1.0 0.00e+00 0.0 5.5e+01 5.2e+02 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> PCGAMGProl_AGG 1 1.0 1.0502e-01 1.0 0.00e+00 0.0 3.9e+02 1.3e+03 8.6e+01 0 0 12 0 17 0 0 12 0 17 0
>> PCGAMGPOpt_AGG 1 1.0 6.2535e-01 1.0 2.78e+08 1.0 1.6e+02 1.1e+04 4.2e+01 1 1 5 1 8 1 1 5 1 8 1767
>> GAMG: createProl 1 1.0 1.1819e+00 1.0 2.79e+08 1.0 6.5e+02 3.6e+03 1.5e+02 2 1 21 1 30 2 1 21 1 30 936
>> Graph 2 1.0 4.4748e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 1 0 2 0 5 1 0 2 0 5 4
>> MIS/Agg 1 1.0 1.8790e-03 1.1 0.00e+00 0.0 5.5e+01 5.2e+02 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> SA: col data 1 1.0 5.0070e-02 1.0 0.00e+00 0.0 3.7e+02 1.2e+03 7.4e+01 0 0 12 0 14 0 0 12 0 14 0
>> SA: frmProl0 1 1.0 5.1879e-02 1.0 0.00e+00 0.0 1.8e+01 5.4e+03 8.0e+00 0 0 1 0 2 0 0 1 0 2 0
>> SA: smooth 1 1.0 3.9527e-01 1.0 9.33e+07 1.0 6.0e+01 1.8e+04 1.5e+01 1 0 2 1 3 1 0 2 1 3 937
>> GAMG: partLevel 1 1.0 2.1293e+00 1.0 5.79e+08 1.0 1.2e+02 8.6e+05 6.7e+01 3 2 4 63 13 3 2 4 63 13 1082
>> repartition 1 1.0 3.4499e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Invert-Sort 1 1.0 1.0570e-0221.2 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Move A 1 1.0 4.4678e-01 1.0 0.00e+00 0.0 1.5e+01 6.3e+06 1.7e+01 1 0 0 56 3 1 0 0 56 3 0
>> Move P 1 1.0 2.8244e-01 1.0 0.00e+00 0.0 6.0e+00 5.2e+04 1.7e+01 0 0 0 0 3 0 0 0 0 3 0
>> PCSetUp 2 1.0 4.5188e+0113.6 1.15e+11135.8 7.8e+02 1.4e+05 2.3e+02 21 88 25 64 44 21 88 25 64 45 2593
>> PCSetUpOnBlocks 10 1.0 4.1865e+01570107.9 1.14e+11 0.0 0.0e+00 0.0e+00 0.0e+00 16 85 0 0 0 16 85 0 0 0 2717
>> PCApply 10 1.0 4.8200e+01 1.0 1.19e+1135.1 1.2e+03 1.7e+04 2.1e+01 73 97 37 12 4 73 97 37 12 4 2690
>> ------------------------------------------------------------------------------------------------------------------------
>>
>>
>> 2)
>> -pc_mg_levels 2 -pc_gamg_square_graph 0 -mg_levels_ksp_max_it 4
>>
>> Summary of Stages: ----- Time ------ ----- Flop ----- --- Messages --- -- Message Lengths -- -- Reductions --
>> Avg %Total Avg %Total counts %Total Avg %Total counts %Total
>> 0: Main Stage: 6.5760e+01 100.0% 1.3377e+11 100.0% 3.138e+03 100.0% 5.425e+04 100.0% 5.120e+02 98.7%
>>
>> ------------------------------------------------------------------------------------------------------------------------
>> ------------------------------------------------------------------------------------------------------------------------
>> Event Count Time (sec) Flop --- Global --- --- Stage --- Total
>> Max Ratio Max Ratio Max Ratio Mess Avg len Reduct %T %F %M %L %R %T %F %M %L %R Mflop/s
>> ------------------------------------------------------------------------------------------------------------------------
>>
>> --- Event Stage 0: Main Stage
>>
>> BuildTwoSided 1 1.0 1.9002e-04 8.7 0.00e+00 0.0 5.0e+00 4.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> BuildTwoSidedF 69 1.0 2.6071e-01 4.8 0.00e+00 0.0 5.5e+01 1.1e+05 0.0e+00 0 0 2 4 0 0 0 2 4 0 0
>> VecMDot 34 1.0 4.7955e-02 1.3 4.66e+07 1.0 0.0e+00 0.0e+00 3.4e+01 0 0 0 0 7 0 0 0 0 7 3854
>> VecNorm 41 1.0 7.8864e-03 1.4 1.12e+07 1.0 0.0e+00 0.0e+00 4.1e+01 0 0 0 0 8 0 0 0 0 8 5652
>> VecScale 38 1.0 4.7059e-03 1.0 5.20e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 4390
>> VecCopy 44 1.0 1.0849e-02 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
>> VecSet 129 1.0 1.9698e-02 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
>> VecAXPY 3 1.0 1.0378e-03 1.2 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 3143
>> VecAYPX 120 1.0 4.6406e-02 1.1 1.92e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1640
>> VecAXPBYCZ 80 1.0 4.0414e-02 1.0 5.48e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 5380
>> VecWAXPY 1 1.0 7.6008e-04 1.2 1.37e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 715
>> VecMAXPY 37 1.0 4.8892e-02 1.0 5.45e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 4425
>> VecAssemblyBegin 60 1.0 5.2444e-02 2.0 0.00e+00 0.0 2.5e+01 4.2e+03 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> VecAssemblyEnd 60 1.0 1.1539e-04 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
>> VecPointwiseMult 11 1.0 6.2540e-03 1.2 1.51e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 956
>> VecScatterBegin 226 1.0 1.7562e-02 1.1 0.00e+00 0.0 2.1e+03 2.0e+04 0.0e+00 0 0 66 25 0 0 0 66 25 0 0
>> VecScatterEnd 226 1.0 4.3872e+01319.5 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 50 0 0 0 0 50 0 0 0 0 0
>> VecSetRandom 1 1.0 1.5719e-03 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
>> VecReduceArith 3 1.0 5.7292e-04 1.2 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 5693
>> VecReduceComm 1 1.0 9.0122e-0515.1 0.00e+00 0.0 0.0e+00 0.0e+00 1.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> VecNormalize 38 1.0 1.2057e-02 1.2 1.56e+07 1.0 0.0e+00 0.0e+00 3.8e+01 0 0 0 0 7 0 0 0 0 7 5140
>> MatMult 129 1.0 1.9545e+00 1.0 1.88e+09 1.0 1.3e+03 6.9e+03 0.0e+00 3 6 41 5 0 3 6 41 5 0 3822
>> MatMultAdd 10 1.0 4.3806e+011689.9 5.73e+07 1.0 3.0e+01 2.1e+05 0.0e+00 50 0 1 4 0 50 0 1 4 0 5
>> MatMultTranspose 10 1.0 6.7213e-02 1.1 5.73e+07 1.0 3.0e+01 2.1e+05 0.0e+00 0 0 1 4 0 0 0 1 4 0 3390
>> MatSolve 10 0.0 1.0379e+00 0.0 2.19e+09 0.0 0.0e+00 0.0e+00 0.0e+00 0 2 0 0 0 0 2 0 0 0 2106
>> MatSOR 111 1.0 3.1935e+00 1.0 1.63e+09 1.0 0.0e+00 0.0e+00 0.0e+00 5 5 0 0 0 5 5 0 0 0 2022
>> MatLUFactorSym 1 1.0 2.3361e+00288179.6 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 1 0 0 0 0 1 0 0 0 0 0
>> MatLUFactorNum 1 1.0 4.0301e+0110564673.9 1.14e+11 0.0 0.0e+00 0.0e+00 0.0e+00 15 85 0 0 0 15 85 0 0 0 2823
>> MatScale 3 1.0 1.4505e-02 1.0 6.14e+06 1.0 1.0e+01 1.2e+03 0.0e+00 0 0 0 0 0 0 0 0 0 0 1683
>> MatResidual 10 1.0 1.6052e-01 1.1 1.47e+08 1.0 1.0e+02 6.9e+03 0.0e+00 0 0 3 0 0 0 0 3 0 0 3641
>> MatAssemblyBegin 25 1.0 2.4469e-01 7.5 0.00e+00 0.0 3.0e+01 2.0e+05 0.0e+00 0 0 1 3 0 0 0 1 3 0 0
>> MatAssemblyEnd 25 1.0 2.2773e-01 1.0 0.00e+00 0.0 1.2e+02 3.4e+03 6.4e+01 0 0 4 0 12 0 0 4 0 12 0
>> MatGetRow 593372 1.0 4.2183e-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
>> MatGetRowIJ 1 0.0 9.4678e-03 0.0 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
>> MatCreateSubMat 2 1.0 6.3013e-01 1.0 0.00e+00 0.0 2.1e+01 4.5e+06 3.2e+01 1 0 1 56 6 1 0 1 56 6 0
>> MatGetOrdering 1 0.0 4.1698e-02 0.0 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
>> MatCoarsen 1 1.0 1.4472e-03 1.1 0.00e+00 0.0 5.5e+01 5.2e+02 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> MatZeroEntries 9 1.0 1.5332e-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
>> MatView 5 1.7 1.6737e-03 3.4 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> MatAXPY 1 1.0 3.6167e-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
>> MatMatMult 1 1.0 2.6676e-01 1.0 8.75e+07 1.0 6.0e+01 1.8e+04 1.3e+01 0 0 2 1 3 0 0 2 1 3 1303
>> MatMatMultSym 1 1.0 2.0918e-01 1.0 0.00e+00 0.0 5.0e+01 1.3e+04 1.2e+01 0 0 2 0 2 0 0 2 0 2 0
>> MatMatMultNum 1 1.0 5.7073e-02 1.0 8.75e+07 1.0 1.0e+01 4.1e+04 0.0e+00 0 0 0 0 0 0 0 0 0 0 6090
>> MatPtAP 1 1.0 1.0664e+00 1.0 5.79e+08 1.0 9.5e+01 7.0e+04 1.6e+01 2 2 3 4 3 2 2 3 4 3 2160
>> MatPtAPSymbolic 1 1.0 7.2993e-01 1.0 0.00e+00 0.0 6.0e+01 5.5e+04 7.0e+00 1 0 2 2 1 1 0 2 2 1 0
>> MatPtAPNumeric 1 1.0 3.3595e-01 1.0 5.79e+08 1.0 3.5e+01 9.7e+04 8.0e+00 1 2 1 2 2 1 2 1 2 2 6855
>> MatGetLocalMat 3 1.0 5.2164e-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
>> MatGetBrAoCol 3 1.0 2.5141e-03 1.2 0.00e+00 0.0 7.0e+01 5.0e+04 0.0e+00 0 0 2 2 0 0 0 2 2 0 0
>> SNESSolve 1 1.0 5.8984e+01 1.0 1.20e+1127.3 3.0e+03 4.9e+04 4.6e+02 90100 97 88 89 90100 97 88 90 2267
>> SNESFunctionEval 2 1.0 4.4220e+00 1.0 5.48e+05 1.0 9.0e+02 1.5e+04 1.7e+02 7 0 29 8 32 7 0 29 8 33 0
>> SNESJacobianEval 1 1.0 2.7677e+00 1.0 0.00e+00 0.0 1.1e+02 6.9e+04 1.9e+01 4 0 3 4 4 4 0 3 4 4 0
>> SNESLineSearch 1 1.0 2.3403e+00 1.0 1.23e+06 1.0 4.5e+02 1.5e+04 8.5e+01 4 0 14 4 16 4 0 14 4 17 2
>> SFSetGraph 1 1.0 1.9073e-06 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
>> SFSetUp 1 1.0 2.3508e-04 3.9 0.00e+00 0.0 1.5e+01 3.8e+02 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> SFBcastBegin 4 1.0 3.2902e-05 1.1 0.00e+00 0.0 4.0e+01 5.8e+02 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> SFBcastEnd 4 1.0 1.2112e-0416.9 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
>> KSPGMRESOrthog 29 1.0 8.2165e-02 1.1 8.49e+07 1.0 0.0e+00 0.0e+00 2.9e+01 0 0 0 0 6 0 0 0 0 6 4102
>> KSPSetUp 6 1.0 8.9242e-03 1.3 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
>> KSPSolve 1 1.0 5.1788e+01 1.0 1.20e+1127.3 2.0e+03 6.4e+04 2.7e+02 79100 65 76 52 79100 65 76 53 2582
>> PCGAMGGraph_AGG 1 1.0 3.8242e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 1 0 2 0 5 1 0 2 0 5 4
>> PCGAMGCoarse_AGG 1 1.0 2.0711e-03 1.0 0.00e+00 0.0 5.5e+01 5.2e+02 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> PCGAMGProl_AGG 1 1.0 7.1434e-02 1.0 0.00e+00 0.0 3.9e+02 1.3e+03 8.6e+01 0 0 12 0 17 0 0 12 0 17 0
>> PCGAMGPOpt_AGG 1 1.0 5.3496e-01 1.0 2.78e+08 1.0 1.6e+02 1.1e+04 4.2e+01 1 1 5 1 8 1 1 5 1 8 2065
>> GAMG: createProl 1 1.0 9.9368e-01 1.0 2.79e+08 1.0 6.5e+02 3.6e+03 1.5e+02 2 1 21 1 30 2 1 21 1 30 1114
>> Graph 2 1.0 3.8235e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 1 0 2 0 5 1 0 2 0 5 4
>> MIS/Agg 1 1.0 1.4579e-03 1.1 0.00e+00 0.0 5.5e+01 5.2e+02 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> SA: col data 1 1.0 3.0082e-02 1.0 0.00e+00 0.0 3.7e+02 1.2e+03 7.4e+01 0 0 12 0 14 0 0 12 0 14 0
>> SA: frmProl0 1 1.0 3.8682e-02 1.0 0.00e+00 0.0 1.8e+01 5.4e+03 8.0e+00 0 0 1 0 2 0 0 1 0 2 0
>> SA: smooth 1 1.0 3.2894e-01 1.0 9.33e+07 1.0 6.0e+01 1.8e+04 1.5e+01 0 0 2 1 3 0 0 2 1 3 1126
>> GAMG: partLevel 1 1.0 1.7867e+00 1.0 5.79e+08 1.0 1.2e+02 8.6e+05 6.7e+01 3 2 4 63 13 3 2 4 63 13 1289
>> repartition 1 1.0 2.9397e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Invert-Sort 1 1.0 7.5300e-0316.0 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Move A 1 1.0 4.5402e-01 1.0 0.00e+00 0.0 1.5e+01 6.3e+06 1.7e+01 1 0 0 56 3 1 0 0 56 3 0
>> Move P 1 1.0 2.2056e-01 1.0 0.00e+00 0.0 6.0e+00 5.2e+04 1.7e+01 0 0 0 0 3 0 0 0 0 3 0
>> PCSetUp 2 1.0 4.5469e+0116.3 1.15e+11135.8 7.8e+02 1.4e+05 2.3e+02 20 88 25 64 44 20 88 25 64 45 2577
>> PCSetUpOnBlocks 10 1.0 4.2679e+01701992.3 1.14e+11 0.0 0.0e+00 0.0e+00 0.0e+00 16 85 0 0 0 16 85 0 0 0 2665
>> PCApply 10 1.0 4.8823e+01 1.0 1.19e+1135.1 1.2e+03 1.7e+04 2.1e+01 74 97 37 12 4 74 97 37 12 4 2656
>> ------------------------------------------------------------------------------------------------------------------------
>>
>>
>> 3)
>> -pc_mg_levels 2 -mg_levels_ksp_max_it 4 -pc_gamg_threshold 0.04
>>
>> Summary of Stages: ----- Time ------ ----- Flop ----- --- Messages --- -- Message Lengths -- -- Reductions --
>> Avg %Total Avg %Total counts %Total Avg %Total counts %Total
>> 0: Main Stage: 2.9122e+01 100.0% 3.4599e+10 100.0% 3.618e+03 100.0% 2.554e+04 100.0% 5.350e+02 98.7%
>>
>> ------------------------------------------------------------------------------------------------------------------------
>> ------------------------------------------------------------------------------------------------------------------------
>> Event Count Time (sec) Flop --- Global --- --- Stage --- Total
>> Max Ratio Max Ratio Max Ratio Mess Avg len Reduct %T %F %M %L %R %T %F %M %L %R Mflop/s
>> ------------------------------------------------------------------------------------------------------------------------
>>
>> --- Event Stage 0: Main Stage
>>
>> BuildTwoSided 1 1.0 5.1999e-0423.5 0.00e+00 0.0 5.0e+00 4.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> BuildTwoSidedF 74 1.0 1.6531e-01 2.2 0.00e+00 0.0 7.8e+01 5.7e+04 0.0e+00 0 0 2 5 0 0 0 2 5 0 0
>> VecMDot 37 1.0 7.6608e-02 1.3 5.56e+07 1.0 0.0e+00 0.0e+00 3.7e+01 0 1 0 0 7 0 1 0 0 7 2881
>> VecNorm 44 1.0 1.9918e-02 2.0 1.21e+07 1.0 0.0e+00 0.0e+00 4.4e+01 0 0 0 0 8 0 0 0 0 8 2402
>> VecScale 41 1.0 5.9566e-03 1.1 5.61e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 3742
>> VecCopy 53 1.0 1.3126e-02 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
>> VecSet 151 1.0 2.0747e-02 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
>> VecAXPY 3 1.0 1.2219e-03 1.6 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 2669
>> VecAYPX 156 1.0 6.1843e-02 1.2 2.49e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1600
>> VecAXPBYCZ 104 1.0 5.3596e-02 1.0 7.12e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 5274
>> VecWAXPY 1 1.0 6.4707e-04 1.3 1.37e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 840
>> VecMAXPY 40 1.0 6.1941e-02 1.1 6.44e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 4125
>> VecAssemblyBegin 64 1.0 7.2242e-02 1.3 0.00e+00 0.0 2.5e+01 4.2e+03 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> VecAssemblyEnd 64 1.0 1.4734e-04 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
>> VecPointwiseMult 11 1.0 6.0835e-03 1.2 1.51e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 983
>> VecScatterBegin 270 1.0 1.7434e-02 1.1 0.00e+00 0.0 2.5e+03 1.5e+04 0.0e+00 0 0 69 40 0 0 0 69 40 0 0
>> VecScatterEnd 270 1.0 5.8946e+0035.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 15 0 0 0 0 15 0 0 0 0 0
>> VecSetRandom 1 1.0 2.9080e-03 1.8 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
>> VecReduceArith 3 1.0 6.4564e-04 1.3 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 5052
>> VecReduceComm 1 1.0 1.6594e-0427.8 0.00e+00 0.0 0.0e+00 0.0e+00 1.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> VecNormalize 41 1.0 2.5299e-02 1.6 1.68e+07 1.0 0.0e+00 0.0e+00 4.1e+01 0 0 0 0 8 0 0 0 0 8 2643
>> MatMult 162 1.0 2.5775e+00 1.0 2.36e+09 1.0 1.6e+03 6.9e+03 0.0e+00 9 27 45 12 0 9 27 45 12 0 3640
>> MatMultAdd 13 1.0 5.7682e+00227.3 5.35e+07 1.0 3.9e+01 8.5e+04 0.0e+00 15 1 1 4 0 15 1 1 4 0 37
>> MatMultTranspose 13 1.0 6.4702e-02 1.1 5.35e+07 1.0 3.9e+01 8.5e+04 0.0e+00 0 1 1 4 0 0 1 1 4 0 3268
>> MatSolve 13 0.0 3.4193e-01 0.0 6.33e+08 0.0 0.0e+00 0.0e+00 0.0e+00 0 2 0 0 0 0 2 0 0 0 1850
>> MatSOR 141 1.0 4.2887e+00 1.0 2.07e+09 1.0 0.0e+00 0.0e+00 0.0e+00 15 24 0 0 0 15 24 0 0 0 1912
>> MatLUFactorSym 1 1.0 5.2129e-0139753.9 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
>> MatLUFactorNum 1 1.0 4.8021e+00805666.4 1.33e+10 0.0 0.0e+00 0.0e+00 0.0e+00 4 38 0 0 0 4 38 0 0 0 2767
>> MatScale 3 1.0 1.0527e-02 1.0 4.52e+06 1.0 1.0e+01 1.2e+03 0.0e+00 0 0 0 0 0 0 0 0 0 0 1699
>> MatResidual 13 1.0 2.1939e-01 1.1 1.91e+08 1.0 1.3e+02 6.9e+03 0.0e+00 1 2 4 1 0 1 2 4 1 0 3463
>> MatAssemblyBegin 33 1.0 1.1140e-01 5.0 0.00e+00 0.0 5.2e+01 8.2e+04 0.0e+00 0 0 1 5 0 0 0 1 5 0 0
>> MatAssemblyEnd 33 1.0 1.9615e-01 1.0 0.00e+00 0.0 1.5e+02 1.4e+03 7.2e+01 1 0 4 0 13 1 0 4 0 13 0
>> MatGetRow 593372 1.0 4.5789e-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
>> MatGetRowIJ 1 0.0 4.0052e-03 0.0 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
>> MatCreateSubMat 2 1.0 2.7033e-01 1.0 0.00e+00 0.0 2.1e+01 1.2e+06 3.2e+01 1 0 1 28 6 1 0 1 28 6 0
>> MatGetOrdering 1 0.0 1.7007e-02 0.0 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
>> MatCoarsen 1 1.0 2.4688e-03 1.2 0.00e+00 0.0 5.5e+01 1.0e+03 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> MatZeroEntries 10 1.0 1.4357e-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
>> MatView 5 1.7 1.7419e-03 3.8 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> MatAXPY 1 1.0 3.4560e-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
>> MatMatMult 1 1.0 2.6894e-01 1.0 8.75e+07 1.0 6.0e+01 1.8e+04 1.2e+01 1 1 2 1 2 1 1 2 1 2 1292
>> MatMatMultSym 1 1.0 2.1331e-01 1.0 0.00e+00 0.0 5.0e+01 1.3e+04 1.2e+01 1 0 1 1 2 1 0 1 1 2 0
>> MatMatMultNum 1 1.0 5.5709e-02 1.0 8.75e+07 1.0 1.0e+01 4.1e+04 0.0e+00 0 1 0 0 0 0 1 0 0 0 6239
>> MatPtAP 1 1.0 6.6371e-01 1.0 3.42e+08 1.0 9.5e+01 3.5e+04 1.5e+01 2 4 3 4 3 2 4 3 4 3 2039
>> MatPtAPSymbolic 1 1.0 4.6951e-01 1.0 0.00e+00 0.0 6.0e+01 3.4e+04 7.0e+00 2 0 2 2 1 2 0 2 2 1 0
>> MatPtAPNumeric 1 1.0 1.9424e-01 1.0 3.42e+08 1.0 3.5e+01 3.6e+04 8.0e+00 1 4 1 1 1 1 4 1 1 1 6967
>> MatTrnMatMult 1 1.0 5.6805e-02 1.0 4.18e+06 1.0 6.5e+01 6.6e+03 1.5e+01 0 0 2 0 3 0 0 2 0 3 292
>> MatTrnMatMultSym 1 1.0 3.4907e-02 1.0 0.00e+00 0.0 3.0e+01 3.1e+03 7.0e+00 0 0 1 0 1 0 0 1 0 1 0
>> MatTrnMatMultNum 1 1.0 2.2120e-02 1.0 4.18e+06 1.0 3.5e+01 9.7e+03 8.0e+00 0 0 1 0 1 0 0 1 0 1 751
>> MatGetLocalMat 4 1.0 3.8992e-02 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
>> MatGetBrAoCol 3 1.0 2.6469e-03 1.2 0.00e+00 0.0 7.0e+01 4.0e+04 0.0e+00 0 0 2 3 0 0 0 2 3 0 0
>> SNESSolve 1 1.0 2.2497e+01 1.0 1.91e+10 3.7 3.5e+03 2.1e+04 4.8e+02 77100 97 79 89 77100 97 79 90 1536
>> SNESFunctionEval 2 1.0 4.5633e+00 1.0 5.48e+05 1.0 9.0e+02 1.5e+04 1.7e+02 16 0 25 14 31 16 0 25 14 31 0
>> SNESJacobianEval 1 1.0 3.0567e+00 1.0 0.00e+00 0.0 1.1e+02 6.9e+04 1.9e+01 10 0 3 8 4 10 0 3 8 4 0
>> SNESLineSearch 1 1.0 2.3701e+00 1.0 1.23e+06 1.0 4.5e+02 1.5e+04 8.5e+01 8 0 12 7 16 8 0 12 7 16 2
>> SFSetGraph 1 1.0 3.0994e-06 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
>> SFSetUp 1 1.0 5.7101e-04 6.6 0.00e+00 0.0 1.5e+01 7.7e+02 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> SFBcastBegin 4 1.0 5.6982e-05 1.2 0.00e+00 0.0 4.0e+01 1.2e+03 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> SFBcastEnd 4 1.0 1.6999e-04 5.7 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
>> KSPGMRESOrthog 32 1.0 1.2112e-01 1.1 1.03e+08 1.0 0.0e+00 0.0e+00 3.2e+01 0 1 0 0 6 0 1 0 0 6 3375
>> KSPSetUp 6 1.0 9.6612e-03 1.1 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
>> KSPSolve 1 1.0 1.4872e+01 1.0 1.91e+10 3.7 2.5e+03 2.1e+04 2.9e+02 51100 69 56 54 51100 69 56 55 2323
>> PCGAMGGraph_AGG 1 1.0 4.4312e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 2 0 1 0 4 2 0 1 0 4 4
>> PCGAMGCoarse_AGG 1 1.0 6.4611e-02 1.0 4.18e+06 1.0 1.7e+02 3.5e+03 2.1e+01 0 0 5 1 4 0 0 5 1 4 257
>> PCGAMGProl_AGG 1 1.0 9.3410e-02 1.0 0.00e+00 0.0 4.0e+02 2.8e+03 8.6e+01 0 0 11 1 16 0 0 11 1 16 0
>> PCGAMGPOpt_AGG 1 1.0 5.4947e-01 1.0 2.77e+08 1.0 1.6e+02 1.1e+04 4.1e+01 2 3 4 2 8 2 3 4 2 8 1999
>> GAMG: createProl 1 1.0 1.1555e+00 1.0 2.81e+08 1.0 7.8e+02 4.5e+03 1.7e+02 4 3 22 4 32 4 3 22 4 32 966
>> Graph 2 1.0 4.4305e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 2 0 1 0 4 2 0 1 0 4 4
>> MIS/Agg 1 1.0 2.4810e-03 1.2 0.00e+00 0.0 5.5e+01 1.0e+03 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> SA: col data 1 1.0 4.5491e-02 1.0 0.00e+00 0.0 3.7e+02 2.3e+03 7.4e+01 0 0 10 1 14 0 0 10 1 14 0
>> SA: frmProl0 1 1.0 4.5125e-02 1.0 0.00e+00 0.0 3.5e+01 7.6e+03 8.0e+00 0 0 1 0 1 0 0 1 0 1 0
>> SA: smooth 1 1.0 3.2692e-01 1.0 9.16e+07 1.0 6.0e+01 1.8e+04 1.4e+01 1 1 2 1 3 1 1 2 1 3 1113
>> GAMG: partLevel 1 1.0 9.6929e-01 1.0 3.42e+08 1.0 1.2e+02 2.5e+05 6.6e+01 3 4 3 34 12 3 4 3 34 12 1396
>> repartition 1 1.0 1.0109e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Invert-Sort 1 1.0 1.2600e-03 5.7 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Move A 1 1.0 1.2418e-01 1.0 0.00e+00 0.0 1.5e+01 1.7e+06 1.7e+01 0 0 0 28 3 0 0 0 28 3 0
>> Move P 1 1.0 1.6575e-01 1.0 0.00e+00 0.0 6.0e+00 2.1e+04 1.7e+01 1 0 0 0 3 1 0 0 0 3 0
>> PCSetUp 2 1.0 7.4755e+00 3.5 1.39e+1022.7 9.1e+02 3.8e+04 2.5e+02 12 46 25 38 45 12 46 25 38 46 2108
>> PCSetUpOnBlocks 13 1.0 5.3405e+0062049.0 1.33e+10 0.0 0.0e+00 0.0e+00 0.0e+00 5 38 0 0 0 5 38 0 0 0 2488
>> PCApply 13 1.0 1.2494e+01 1.0 1.83e+10 4.3 1.5e+03 1.1e+04 2.1e+01 43 90 41 18 4 43 90 41 18 4 2496
>> ------------------------------------------------------------------------------------------------------------------------
>>
>>
>>
>> 4)
>> -pc_mg_levels 2 -mg_levels_ksp_max_it 4
>>
>> Summary of Stages: ----- Time ------ ----- Flop ----- --- Messages --- -- Message Lengths -- -- Reductions --
>> Avg %Total Avg %Total counts %Total Avg %Total counts %Total
>> 0: Main Stage: 2.8086e+01 100.0% 3.4599e+10 100.0% 3.618e+03 100.0% 2.554e+04 100.0% 5.350e+02 98.7%
>>
>> ------------------------------------------------------------------------------------------------------------------------
>> ------------------------------------------------------------------------------------------------------------------------
>> Event Count Time (sec) Flop --- Global --- --- Stage --- Total
>> Max Ratio Max Ratio Max Ratio Mess Avg len Reduct %T %F %M %L %R %T %F %M %L %R Mflop/s
>> ------------------------------------------------------------------------------------------------------------------------
>>
>> --- Event Stage 0: Main Stage
>>
>> BuildTwoSided 1 1.0 9.6083e-05 5.3 0.00e+00 0.0 5.0e+00 4.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> BuildTwoSidedF 74 1.0 2.0508e-01 2.9 0.00e+00 0.0 7.8e+01 5.7e+04 0.0e+00 1 0 2 5 0 1 0 2 5 0 0
>> VecMDot 37 1.0 6.2755e-02 1.2 5.56e+07 1.0 0.0e+00 0.0e+00 3.7e+01 0 1 0 0 7 0 1 0 0 7 3517
>> VecNorm 44 1.0 1.2301e-02 1.5 1.21e+07 1.0 0.0e+00 0.0e+00 4.4e+01 0 0 0 0 8 0 0 0 0 8 3889
>> VecScale 41 1.0 5.2664e-03 1.0 5.61e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 4232
>> VecCopy 53 1.0 1.3689e-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
>> VecSet 151 1.0 1.9269e-02 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
>> VecAXPY 3 1.0 1.1799e-03 1.3 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 2764
>> VecAYPX 156 1.0 6.0851e-02 1.2 2.49e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1626
>> VecAXPBYCZ 104 1.0 5.3286e-02 1.1 7.12e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 5305
>> VecWAXPY 1 1.0 7.0786e-04 1.2 1.37e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 768
>> VecMAXPY 40 1.0 6.2898e-02 1.0 6.44e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 4062
>> VecAssemblyBegin 64 1.0 1.0848e-01 2.7 0.00e+00 0.0 2.5e+01 4.2e+03 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> VecAssemblyEnd 64 1.0 1.1230e-04 1.2 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
>> VecPointwiseMult 11 1.0 6.5417e-03 1.1 1.51e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 914
>> VecScatterBegin 270 1.0 1.6606e-02 1.0 0.00e+00 0.0 2.5e+03 1.5e+04 0.0e+00 0 0 69 40 0 0 0 69 40 0 0
>> VecScatterEnd 270 1.0 5.5767e+0044.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 15 0 0 0 0 15 0 0 0 0 0
>> VecSetRandom 1 1.0 1.5750e-03 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
>> VecReduceArith 3 1.0 6.3324e-04 1.3 8.22e+05 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 5151
>> VecReduceComm 1 1.0 1.5712e-0431.4 0.00e+00 0.0 0.0e+00 0.0e+00 1.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> VecNormalize 41 1.0 1.7057e-02 1.3 1.68e+07 1.0 0.0e+00 0.0e+00 4.1e+01 0 0 0 0 8 0 0 0 0 8 3920
>> MatMult 162 1.0 2.5049e+00 1.0 2.36e+09 1.0 1.6e+03 6.9e+03 0.0e+00 9 27 45 12 0 9 27 45 12 0 3745
>> MatMultAdd 13 1.0 5.5041e+00222.4 5.35e+07 1.0 3.9e+01 8.5e+04 0.0e+00 15 1 1 4 0 15 1 1 4 0 38
>> MatMultTranspose 13 1.0 6.2563e-02 1.1 5.35e+07 1.0 3.9e+01 8.5e+04 0.0e+00 0 1 1 4 0 0 1 1 4 0 3379
>> MatSolve 13 0.0 3.4633e-01 0.0 6.33e+08 0.0 0.0e+00 0.0e+00 0.0e+00 0 2 0 0 0 0 2 0 0 0 1827
>> MatSOR 141 1.0 4.1983e+00 1.0 2.07e+09 1.0 0.0e+00 0.0e+00 0.0e+00 15 24 0 0 0 15 24 0 0 0 1953
>> MatLUFactorSym 1 1.0 4.5545e-0135375.5 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
>> MatLUFactorNum 1 1.0 4.6021e+00772110.8 1.33e+10 0.0 0.0e+00 0.0e+00 0.0e+00 4 38 0 0 0 4 38 0 0 0 2887
>> MatScale 3 1.0 1.1058e-02 1.0 4.52e+06 1.0 1.0e+01 1.2e+03 0.0e+00 0 0 0 0 0 0 0 0 0 0 1618
>> MatResidual 13 1.0 2.1592e-01 1.1 1.91e+08 1.0 1.3e+02 6.9e+03 0.0e+00 1 2 4 1 0 1 2 4 1 0 3519
>> MatAssemblyBegin 33 1.0 1.1083e-01 3.3 0.00e+00 0.0 5.2e+01 8.2e+04 0.0e+00 0 0 1 5 0 0 0 1 5 0 0
>> MatAssemblyEnd 33 1.0 1.7722e-01 1.0 0.00e+00 0.0 1.5e+02 1.4e+03 7.2e+01 1 0 4 0 13 1 0 4 0 13 0
>> MatGetRow 593372 1.0 4.5285e-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
>> MatGetRowIJ 1 0.0 3.5741e-03 0.0 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
>> MatCreateSubMat 2 1.0 2.5588e-01 1.0 0.00e+00 0.0 2.1e+01 1.2e+06 3.2e+01 1 0 1 28 6 1 0 1 28 6 0
>> MatGetOrdering 1 0.0 1.6127e-02 0.0 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
>> MatCoarsen 1 1.0 1.4122e-03 1.1 0.00e+00 0.0 5.5e+01 1.0e+03 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> MatZeroEntries 10 1.0 1.5053e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 1 0 0 0 0 1 0 0 0 0 0
>> MatView 5 1.7 1.6868e-03 3.3 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> MatAXPY 1 1.0 4.3107e-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
>> MatMatMult 1 1.0 2.5280e-01 1.0 8.75e+07 1.0 6.0e+01 1.8e+04 1.2e+01 1 1 2 1 2 1 1 2 1 2 1375
>> MatMatMultSym 1 1.0 1.9445e-01 1.0 0.00e+00 0.0 5.0e+01 1.3e+04 1.2e+01 1 0 1 1 2 1 0 1 1 2 0
>> MatMatMultNum 1 1.0 5.8333e-02 1.0 8.75e+07 1.0 1.0e+01 4.1e+04 0.0e+00 0 1 0 0 0 0 1 0 0 0 5959
>> MatPtAP 1 1.0 6.7796e-01 1.0 3.42e+08 1.0 9.5e+01 3.5e+04 1.5e+01 2 4 3 4 3 2 4 3 4 3 1996
>> MatPtAPSymbolic 1 1.0 4.8317e-01 1.0 0.00e+00 0.0 6.0e+01 3.4e+04 7.0e+00 2 0 2 2 1 2 0 2 2 1 0
>> MatPtAPNumeric 1 1.0 1.9495e-01 1.0 3.42e+08 1.0 3.5e+01 3.6e+04 8.0e+00 1 4 1 1 1 1 4 1 1 1 6941
>> MatTrnMatMult 1 1.0 4.1985e-02 1.0 4.18e+06 1.0 6.5e+01 6.6e+03 1.5e+01 0 0 2 0 3 0 0 2 0 3 396
>> MatTrnMatMultSym 1 1.0 2.3958e-02 1.0 0.00e+00 0.0 3.0e+01 3.1e+03 7.0e+00 0 0 1 0 1 0 0 1 0 1 0
>> MatTrnMatMultNum 1 1.0 1.8097e-02 1.0 4.18e+06 1.0 3.5e+01 9.7e+03 8.0e+00 0 0 1 0 1 0 0 1 0 1 918
>> MatGetLocalMat 4 1.0 4.4538e-02 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
>> MatGetBrAoCol 3 1.0 3.8249e-03 1.6 0.00e+00 0.0 7.0e+01 4.0e+04 0.0e+00 0 0 2 3 0 0 0 2 3 0 0
>> SNESSolve 1 1.0 2.1417e+01 1.0 1.91e+10 3.7 3.5e+03 2.1e+04 4.8e+02 76100 97 79 89 76100 97 79 90 1614
>> SNESFunctionEval 2 1.0 4.4048e+00 1.0 5.48e+05 1.0 9.0e+02 1.5e+04 1.7e+02 16 0 25 14 31 16 0 25 14 31 0
>> SNESJacobianEval 1 1.0 2.6810e+00 1.0 0.00e+00 0.0 1.1e+02 6.9e+04 1.9e+01 10 0 3 8 4 10 0 3 8 4 0
>> SNESLineSearch 1 1.0 2.2640e+00 1.0 1.23e+06 1.0 4.5e+02 1.5e+04 8.5e+01 8 0 12 7 16 8 0 12 7 16 2
>> SFSetGraph 1 1.0 2.8610e-06 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
>> SFSetUp 1 1.0 1.4687e-04 2.3 0.00e+00 0.0 1.5e+01 7.7e+02 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>> SFBcastBegin 4 1.0 3.1948e-05 1.1 0.00e+00 0.0 4.0e+01 1.2e+03 0.0e+00 0 0 1 0 0 0 0 1 0 0 0
>> SFBcastEnd 4 1.0 4.2200e-05 4.7 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
>> KSPGMRESOrthog 32 1.0 1.0959e-01 1.1 1.03e+08 1.0 0.0e+00 0.0e+00 3.2e+01 0 1 0 0 6 0 1 0 0 6 3730
>> KSPSetUp 6 1.0 9.1093e-03 1.2 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
>> KSPSolve 1 1.0 1.4326e+01 1.0 1.91e+10 3.7 2.5e+03 2.1e+04 2.9e+02 51100 69 56 54 51100 69 56 55 2412
>> PCGAMGGraph_AGG 1 1.0 3.8501e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 1 0 1 0 4 1 0 1 0 4 4
>> PCGAMGCoarse_AGG 1 1.0 4.7253e-02 1.0 4.18e+06 1.0 1.7e+02 3.5e+03 2.1e+01 0 0 5 1 4 0 0 5 1 4 352
>> PCGAMGProl_AGG 1 1.0 6.9987e-02 1.0 0.00e+00 0.0 4.0e+02 2.8e+03 8.6e+01 0 0 11 1 16 0 0 11 1 16 0
>> PCGAMGPOpt_AGG 1 1.0 5.4272e-01 1.0 2.77e+08 1.0 1.6e+02 1.1e+04 4.1e+01 2 3 4 2 8 2 3 4 2 8 2024
>> GAMG: createProl 1 1.0 1.0504e+00 1.0 2.81e+08 1.0 7.8e+02 4.5e+03 1.7e+02 4 3 22 4 32 4 3 22 4 32 1063
>> Graph 2 1.0 3.8496e-01 1.0 4.09e+05 1.0 5.0e+01 4.6e+02 2.4e+01 1 0 1 0 4 1 0 1 0 4 4
>> MIS/Agg 1 1.0 1.4219e-03 1.1 0.00e+00 0.0 5.5e+01 1.0e+03 2.0e+00 0 0 2 0 0 0 0 2 0 0 0
>> SA: col data 1 1.0 3.1489e-02 1.0 0.00e+00 0.0 3.7e+02 2.3e+03 7.4e+01 0 0 10 1 14 0 0 10 1 14 0
>> SA: frmProl0 1 1.0 3.5651e-02 1.0 0.00e+00 0.0 3.5e+01 7.6e+03 8.0e+00 0 0 1 0 1 0 0 1 0 1 0
>> SA: smooth 1 1.0 3.2070e-01 1.0 9.16e+07 1.0 6.0e+01 1.8e+04 1.4e+01 1 1 2 1 3 1 1 2 1 3 1135
>> GAMG: partLevel 1 1.0 9.6892e-01 1.0 3.42e+08 1.0 1.2e+02 2.5e+05 6.6e+01 3 4 3 34 12 3 4 3 34 12 1397
>> repartition 1 1.0 1.1492e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Invert-Sort 1 1.0 1.3120e-03 6.0 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+00 0 0 0 0 1 0 0 0 0 1 0
>> Move A 1 1.0 1.2847e-01 1.0 0.00e+00 0.0 1.5e+01 1.7e+06 1.7e+01 0 0 0 28 3 0 0 0 28 3 0
>> Move P 1 1.0 1.4728e-01 1.0 0.00e+00 0.0 6.0e+00 2.1e+04 1.7e+01 1 0 0 0 3 1 0 0 0 3 0
>> PCSetUp 2 1.0 7.1033e+00 3.5 1.39e+1022.7 9.1e+02 3.8e+04 2.5e+02 12 46 25 38 45 12 46 25 38 46 2218
>> PCSetUpOnBlocks 13 1.0 5.0738e+0063336.2 1.33e+10 0.0 0.0e+00 0.0e+00 0.0e+00 5 38 0 0 0 5 38 0 0 0 2618
>> PCApply 13 1.0 1.2059e+01 1.0 1.83e+10 4.3 1.5e+03 1.1e+04 2.1e+01 43 90 41 18 4 43 90 41 18 4 2586
>> ------------------------------------------------------------------------------------------------------------------------
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