[petsc-users] Multigrid iterations for different versions of Petsc

Filippo Leonardi filippo.leonardi at sam.math.ethz.ch
Mon Oct 6 07:23:39 CDT 2014


Hi,

Again me with multigrid. Sorry for the annoyance, but I am a bit worried about 
my multigrid solver: I still can't figure out where (if something) my code is 
doing wrong.

I post the details of a run with my local machine and Petsc 3.5 compared with 
the runs done with Petsc 3.4.3 on a cluster (the most recent version 
available).

The problem is that the run in the cluster (3.4.3) does twice many iteration 
per krylow solver (as the local 3.5) and goes even worse when increasing the 
mesh. Also, while on my local machine I get 7 iterations (which is quite 
nice), on the cluster I get 14 iteration, which is not what I expect from 
multigrid.

Are there been any changes on the MG solver that can influence the behaviour of 
the solver?

http://www.mcs.anl.gov/petsc/documentation/changes/35.html
seems not to include anything relevant.

Everything is the same: outer iteration with gmres, lu as coarse solver etc 
(all default), I just adapted the APIs. Thus I'd expect more or less the same 
result.

Best,
Filippo

I attach the profiles.
-------------- next part --------------
8 processors, by lfilippo Mon Oct  6 13:53:27 2014
Using Petsc Release Version 3.4.3, Oct, 15, 2013 

                         Max       Max/Min        Avg      Total 
Time (sec):           1.294e+01      1.00000   1.294e+01
Objects:              9.510e+02      1.00000   9.510e+02
Flops:                2.150e+09      1.00000   2.150e+09  1.720e+10
Flops/sec:            1.662e+08      1.00000   1.662e+08  1.329e+09
MPI Messages:         7.237e+04      1.00166   7.227e+04  5.781e+05
MPI Message Lengths:  2.109e+08      1.42512   2.157e+03  1.247e+09
MPI Reductions:       1.333e+04      1.00000

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 flops
                            and VecAXPY() for complex vectors of length N --> 8N flops

Summary of Stages:   ----- Time ------  ----- Flops -----  --- Messages ---  -- Message Lengths --  -- Reductions --
                        Avg     %Total     Avg     %Total   counts   %Total     Avg         %Total   counts   %Total 
 0:      Main Stage: 1.4267e-02   0.1%  0.0000e+00   0.0%  0.000e+00   0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
 1:       StepStage: 3.4571e-02   0.3%  7.0779e+07   0.4%  0.000e+00   0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
 2:       ConvStage: 6.8375e-01   5.3%  3.6176e+08   2.1%  7.200e+03   1.2%  2.040e+02        9.5%  0.000e+00   0.0% 
 3:       ProjStage: 6.1173e-02   0.5%  1.8350e+07   0.1%  9.600e+02   0.2%  2.721e+01        1.3%  0.000e+00   0.0% 
 4:         IoStage: 6.4588e-01   5.0%  0.0000e+00   0.0%  5.680e+02   0.1%  2.621e+02       12.2%  1.000e+02   0.8% 
 5:        KspStage: 1.6636e+00  12.9%  3.4223e+09  19.9%  9.584e+03   1.7%  2.195e+02       10.2%  1.932e+03  14.5% 
 6:       SolvAlloc: 2.6209e-01   2.0%  0.0000e+00   0.0%  2.560e+02   0.0%  1.383e+00        0.1%  3.350e+02   2.5% 
 7:       SolvSolve: 6.9740e-02   0.5%  3.4079e+06   0.0%  1.520e+02   0.0%  4.168e+00        0.2%  3.200e+01   0.2% 
 8:       SolvDeall: 1.5375e-03   0.0%  0.0000e+00   0.0%  0.000e+00   0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
 9:        MG Apply: 9.5009e+00  73.4%  1.3324e+10  77.5%  5.594e+05  96.8%  1.438e+03       66.7%  1.093e+04  82.0% 

------------------------------------------------------------------------------------------------------------------------
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 Flops: Max - maximum over all processors
                   Ratio - ratio of maximum to minimum over all processors
   Mess: number of messages sent
   Avg. len: 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 flops 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 flops over all processors)/(max time over all processors)
------------------------------------------------------------------------------------------------------------------------
Event                Count      Time (sec)     Flops                             --- 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


--- Event Stage 1: StepStage

VecAXPY              120 1.0 3.4878e-02 1.0 8.85e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0  99100  0  0  0  2029

--- Event Stage 2: ConvStage

VecCopy              180 1.0 6.4032e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   9  0  0  0  0     0
VecAXPY              180 1.0 4.5187e-02 1.2 1.18e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0   6 26  0  0  0  2088
VecAXPBYCZ           210 1.0 1.0587e-01 1.1 2.75e+07 1.0 0.0e+00 0.0e+00 0.0e+00  1  1  0  0  0  15 61  0  0  0  2080
VecPointwiseMult     180 1.0 5.6722e-02 1.0 5.90e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   8 13  0  0  0   832
VecScatterBegin      300 1.0 1.3938e-01 1.0 0.00e+00 0.0 7.2e+03 1.6e+04 0.0e+00  1  0  1  9  0  20  0100100  0     0
VecScatterEnd        300 1.0 3.1792e-02 1.4 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   4  0  0  0  0     0

--- Event Stage 3: ProjStage

VecScale              10 1.0 5.1546e-04 1.1 3.28e+05 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   1 14  0  0  0  5086
VecCopy               30 1.0 1.4046e-02 1.1 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0  23  0  0  0  0     0
VecAXPY               30 1.0 6.9752e-03 1.1 1.97e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0  11 86  0  0  0  2255
VecScatterBegin       40 1.0 1.6682e-02 1.0 0.00e+00 0.0 9.6e+02 1.6e+04 0.0e+00  0  0  0  1  0  27  0100100  0     0
VecScatterEnd         40 1.0 4.2324e-03 1.2 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   6  0  0  0  0     0

--- Event Stage 4: IoStage

VecView               20 1.0 3.5643e-0141.0 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+01  1  0  0  0  0  29  0  0  0 40     0
VecCopy               20 1.0 3.6664e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   1  0  0  0  0     0
VecScatterBegin       12 1.0 4.3378e-03 1.6 0.00e+00 0.0 2.9e+02 1.6e+04 0.0e+00  0  0  0  0  0   1  0 51  3  0     0
VecScatterEnd         12 1.0 9.9678e-02107.2 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   8  0  0  0  0     0

--- Event Stage 5: KspStage

VecMDot              154 1.0 1.7173e-01 1.0 7.57e+07 1.0 0.0e+00 0.0e+00 1.5e+02  1  4  0  0  1  10 18  0  0  8  3526
VecNorm              341 1.0 2.2405e-02 1.6 2.23e+07 1.0 0.0e+00 0.0e+00 3.4e+02  0  1  0  0  3   1  5  0  0 18  7980
VecScale             165 1.0 7.3164e-03 1.0 5.41e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  1  0  0  0  5912
VecCopy              187 1.0 5.1092e-02 1.2 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   3  0  0  0  0     0
VecSet               197 1.0 2.8651e-02 1.1 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0
VecAXPY              165 1.0 1.6271e-02 1.4 1.08e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0   1  3  0  0  0  5317
VecAYPX              165 1.0 3.1347e-02 1.1 5.41e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  1  0  0  0  1380
VecMAXPY             319 1.0 3.8127e-01 1.0 1.61e+08 1.0 0.0e+00 0.0e+00 0.0e+00  3  8  0  0  0  22 38  0  0  0  3388
VecScatterBegin      327 1.0 3.0026e-02 1.2 0.00e+00 0.0 7.9e+03 1.6e+04 0.0e+00  0  0  1 10  0   2  0 82 99  0     0
VecScatterEnd        327 1.0 4.1978e-02 1.8 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0
VecNormalize         165 1.0 1.5593e-02 1.1 1.62e+07 1.0 0.0e+00 0.0e+00 1.6e+02  0  1  0  0  1   1  4  0  0  9  8322
MatMult              319 1.0 6.8451e-01 1.0 1.46e+08 1.0 7.7e+03 1.6e+04 0.0e+00  5  7  1 10  0  41 34 80 99  0  1710
MatMultTranspose       4 1.0 1.7753e-03 1.0 2.53e+05 1.0 2.2e+02 3.2e+02 0.0e+00  0  0  0  0  0   0  0  2  0  0  1139
MatLUFactorSym         1 1.0 1.3900e-04 1.0 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
MatLUFactorNum         1 1.0 1.3113e-04 1.1 3.87e+04 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  2360
MatAssemblyBegin      15 1.0 3.8953e-03 3.5 0.00e+00 0.0 0.0e+00 0.0e+00 2.8e+01  0  0  0  0  0   0  0  0  0  1     0
MatAssemblyEnd        15 1.0 1.3953e-02 1.0 0.00e+00 0.0 6.9e+02 4.3e+02 7.2e+01  0  0  0  0  1   1  0  7  0  4     0
MatGetRowIJ            1 1.0 2.7180e-05 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
MatGetOrdering         1 1.0 8.0824e-05 1.0 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
MatView              132 1.2 2.6198e-02 2.8 0.00e+00 0.0 0.0e+00 0.0e+00 1.1e+02  0  0  0  0  1   1  0  0  0  6     0
MatGetRedundant        1 1.0 2.2316e-04 1.1 0.00e+00 0.0 1.7e+02 2.5e+02 4.0e+00  0  0  0  0  0   0  0  2  0  0     0
KSPGMRESOrthog       154 1.0 3.1410e-01 1.0 1.51e+08 1.0 0.0e+00 0.0e+00 1.5e+02  2  7  0  0  1  19 35  0  0  8  3856
KSPSetUp               7 1.0 4.5030e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 3.4e+01  0  0  0  0  0   0  0  0  0  2     0
Warning -- total time of even greater than time of entire stage -- something is wrong with the timer
KSPSolve              11 1.0 1.1139e+01 1.0 2.09e+09 1.0 5.7e+05 1.7e+03 1.3e+04 86 97 98 77 96 6694895937755660  1503
PCSetUp                1 1.0 6.2445e-02 1.0 2.91e+05 1.0 1.9e+03 6.7e+02 4.2e+02  0  0  0  0  3   4  0 20  1 22    37
Warning -- total time of even greater than time of entire stage -- something is wrong with the timer
PCApply              165 1.0 9.5051e+00 1.0 1.67e+09 1.0 5.6e+05 1.5e+03 1.1e+04 73 77 97 67 82 5713895837655566  1402
MGSetup Level 0        1 1.0 1.4729e-03 1.1 3.87e+04 1.0 3.6e+02 1.4e+02 4.9e+01  0  0  0  0  0   0  0  4  0  3   210
MGSetup Level 1        1 1.0 1.0180e-03 1.0 0.00e+00 0.0 4.8e+01 6.6e+01 2.8e+01  0  0  0  0  0   0  0  1  0  1     0
MGSetup Level 2        1 1.0 2.7621e-03 1.0 0.00e+00 0.0 4.8e+01 2.6e+02 2.8e+01  0  0  0  0  0   0  0  1  0  1     0
MGSetup Level 3        1 1.0 1.2487e-02 1.0 0.00e+00 0.0 4.8e+01 1.0e+03 2.8e+01  0  0  0  0  0   1  0  1  0  1     0
MGSetup Level 4        1 1.0 1.5512e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00  0  0  0  0  0   0  0  0  0  0     0

--- Event Stage 6: SolvAlloc

VecSet                50 1.0 1.9866e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   8  0  0  0  0     0
MatAssemblyBegin       4 1.0 4.7951e-03 2.2 0.00e+00 0.0 0.0e+00 0.0e+00 8.0e+00  0  0  0  0  0   1  0  0  0  2     0
MatAssemblyEnd         4 1.0 1.4767e-02 1.0 0.00e+00 0.0 9.6e+01 4.1e+03 1.6e+01  0  0  0  0  0   6  0 38 49  5     0

--- Event Stage 7: SolvSolve

VecNorm               30 1.0 3.3298e-02 4.5 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+01  0  0  0  0  0  29  0  0  0 94     0
VecScale               1 1.0 5.7220e-05 1.1 3.28e+04 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  8  0  0  0  4581
VecCopy                6 1.0 2.3477e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   3  0  0  0  0     0
VecSet                 1 1.0 1.3099e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0
VecAXPY                6 1.0 1.9960e-03 1.0 3.93e+05 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   3 92  0  0  0  1576
VecScatterBegin        5 1.0 3.7007e-03 1.0 0.00e+00 0.0 1.5e+02 1.6e+04 0.0e+00  0  0  0  0  0   5  0100100  0     0
VecScatterEnd          5 1.0 1.1663e-03 1.1 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0

--- Event Stage 8: SolvDeall


--- Event Stage 9: MG Apply

VecMDot               40 1.0 9.2528e-03 1.1 4.12e+06 1.0 0.0e+00 0.0e+00 4.0e+01  0  0  0  0  0   0  0  0  0  0  3561
VecNorm               44 1.0 9.3055e-04 1.2 8.24e+05 1.0 0.0e+00 0.0e+00 4.4e+01  0  0  0  0  0   0  0  0  0  0  7081
VecScale            6644 1.0 4.3099e-02 1.0 2.86e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0   0  2  0  0  0  5314
VecCopy              994 1.0 4.5226e-03 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              8089 1.0 1.5699e-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            13208 1.0 2.0364e-01 1.0 1.13e+08 1.0 0.0e+00 0.0e+00 0.0e+00  2  5  0  0  0   2  7  0  0  0  4440
VecAYPX            13860 1.0 3.0671e-01 1.1 7.67e+07 1.0 0.0e+00 0.0e+00 0.0e+00  2  4  0  0  0   3  5  0  0  0  2001
VecMAXPY              44 1.0 7.6602e-03 1.0 4.87e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  5083
VecScatterBegin    16874 1.0 1.8452e-01 1.0 0.00e+00 0.0 5.6e+05 1.5e+03 0.0e+00  1  0 97 67  0   2  0100100  0     0
VecScatterEnd      16874 1.0 2.6180e-01 1.2 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
VecNormalize          44 1.0 1.5919e-03 1.1 1.24e+06 1.0 0.0e+00 0.0e+00 4.4e+01  0  0  0  0  0   0  0  0  0  0  6209
MatMult            11264 1.0 3.0948e+00 1.0 7.20e+08 1.0 2.9e+05 2.7e+03 0.0e+00 24 34 50 63  0  32 43 52 94  0  1862
MatMultAdd          1650 1.0 3.0787e-01 1.0 4.76e+07 1.0 9.2e+04 1.7e+02 0.0e+00  2  2 16  1  0   3  3 17  2  0  1237
MatMultTranspose    2310 1.0 5.8261e-01 1.0 8.93e+07 1.0 1.3e+05 2.1e+02 0.0e+00  4  4 22  2  0   6  5 23  3  0  1226
MatSolve             825 1.0 1.1252e-02 1.1 3.22e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  2290
MatSOR              9944 1.0 4.4170e+00 1.0 5.77e+08 1.0 0.0e+00 0.0e+00 0.0e+00 34 27  0  0  0  46 35  0  0  0  1045
KSPGMRESOrthog        40 1.0 1.5266e-02 1.0 8.24e+06 1.0 0.0e+00 0.0e+00 4.0e+01  0  0  0  0  0   0  0  0  0  0  4316
KSPSetUp               4 1.0 2.8238e-03 1.0 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
KSPSolve            4125 1.0 7.7953e+00 1.0 1.39e+09 1.0 2.6e+05 2.5e+03 1.1e+04 60 65 45 53 82  82 83 47 80100  1424
PCApply            10769 1.0 4.4700e+00 1.0 5.80e+08 1.0 4.6e+04 6.4e+01 0.0e+00 34 27  8  0  0  47 35  8  0  0  1038
MGSmooth Level 0     825 1.0 6.5387e-02 1.0 3.22e+06 1.0 4.6e+04 6.4e+01 8.2e+02  1  0  8  0  6   1  0  8  0  8   394
MGSmooth Level 1    1320 1.0 1.4422e-01 1.0 7.16e+06 1.0 8.3e+04 2.6e+02 4.0e+03  1  0 14  2 30   2  0 15  3 37   397
MGResid Level 1      660 1.0 8.7240e-03 1.0 6.34e+05 1.0 1.6e+04 2.6e+02 0.0e+00  0  0  3  0  0   0  0  3  0  0   581
MGInterp Level 1    1650 1.0 3.5585e-02 1.1 7.02e+05 1.0 9.2e+04 2.2e+01 0.0e+00  0  0 16  0  0   0  0 17  0  0   158
MGSmooth Level 2     990 1.0 2.3586e-01 1.0 4.57e+07 1.0 6.4e+04 1.0e+03 3.0e+03  2  2 11  5 23   2  3 11  8 28  1549
MGResid Level 2      495 1.0 1.6258e-02 1.0 3.80e+06 1.0 1.2e+04 1.0e+03 0.0e+00  0  0  2  1  0   0  0  2  1  0  1871
MGInterp Level 2    1320 1.0 5.1451e-02 1.1 4.48e+06 1.0 7.4e+04 7.0e+01 0.0e+00  0  0 13  0  0   1  0 13  1  0   696
MGSmooth Level 3     660 1.0 8.7171e-01 1.0 2.54e+08 1.0 4.4e+04 4.1e+03 2.0e+03  7 12  8 14 15   9 15  8 22 19  2329
MGResid Level 3      330 1.0 5.7600e-02 1.0 2.03e+07 1.0 7.9e+03 4.1e+03 0.0e+00  0  1  1  3  0   1  1  1  4  0  2816
MGInterp Level 3     990 1.0 1.6762e-01 1.0 2.67e+07 1.0 5.5e+04 2.5e+02 0.0e+00  1  1 10  1  0   2  2 10  2  0  1274
MGSmooth Level 4     330 1.0 6.6037e+00 1.0 1.08e+09 1.0 2.4e+04 1.6e+04 1.0e+03 51 50  4 32  8  69 65  4 47 10  1305
MGResid Level 4      165 1.0 3.2559e-01 1.0 8.11e+07 1.0 4.0e+03 1.6e+04 0.0e+00  3  4  1  5  0   3  5  1  8  0  1993
MGInterp Level 4     660 1.0 9.2705e-01 1.0 1.41e+08 1.0 3.7e+04 9.3e+02 0.0e+00  7  7  6  3  0  10  8  7  4  0  1213
------------------------------------------------------------------------------------------------------------------------

Memory usage is given in bytes:

Object Type          Creations   Destructions     Memory  Descendants' Mem.
Reports information only for process 0.

--- Event Stage 0: Main Stage

              Viewer     1              0            0     0

--- Event Stage 1: StepStage


--- Event Stage 2: ConvStage


--- Event Stage 3: ProjStage


--- Event Stage 4: IoStage

              Vector    20             20      5273760     0
              Viewer    20             20        14080     0

--- Event Stage 5: KspStage

           Container     1              0            0     0
              Vector   450            360     87362432     0
      Vector Scatter    31              4         4208     0
              Matrix    29              0            0     0
   Matrix Null Space    16             11         6556     0
    Distributed Mesh     8              0            0     0
     Bipartite Graph    16              0            0     0
           Index Set    73             70       146048     0
   IS L to G Mapping    12              0            0     0
       Krylov Solver     4              0            0     0
     DMKSP interface     2              0            0     0
      Preconditioner     4              0            0     0
              Viewer    11             11         8008     0

--- Event Stage 6: SolvAlloc

              Vector   141              6         9136     0
      Vector Scatter     6              0            0     0
              Matrix     6              0            0     0
    Distributed Mesh     2              0            0     0
     Bipartite Graph     4              0            0     0
           Index Set    14             14       372624     0
   IS L to G Mapping     3              0            0     0
       Krylov Solver     7              0            0     0
     DMKSP interface     1              0            0     0
      Preconditioner     7              0            0     0
              Viewer     1              0            0     0

--- Event Stage 7: SolvSolve

              Vector     1              0            0     0

--- Event Stage 8: SolvDeall

           Container     0              1          564     0
              Vector     0            266     48795872     0
      Vector Scatter     0             28        29456     0
              Matrix     0             32     11933468     0
   Matrix Null Space     0              5         2980     0
    Distributed Mesh     0              8       209600     0
     Bipartite Graph     0             16        12672     0
           Index Set     0              3         2792     0
   IS L to G Mapping     0             12       120752     0
       Krylov Solver     0             11       146712     0
     DMKSP interface     0              2         1296     0
      Preconditioner     0             11         9840     0

--- Event Stage 9: MG Apply

              Vector    60              8        87232     0
========================================================================================================================
Average time to get PetscTime(): 1.90735e-07
Average time for MPI_Barrier(): 4.19617e-06
Average time for zero size MPI_Send(): 2.77162e-06
#PETSc Option Table entries:
-ksp_converged_reason
-ksp_monitor
-ksp_monitor_true_residual
-ksp_view
-log_summary
-options_left
-pc_mg_levels 5
-pc_mg_log
-pc_mg_type full
-pc_type mg
-------------- next part --------------
8 processors, by filippo Mon Oct  6 14:16:40 2014
Using Petsc Release Version 3.5.0, Jun, 30, 2014 

                         Max       Max/Min        Avg      Total 
Time (sec):           1.487e+01      1.00008   1.487e+01
Objects:              7.540e+02      1.00000   7.540e+02
Flops:                1.089e+09      1.00000   1.089e+09  8.713e+09
Flops/sec:            7.325e+07      1.00008   7.325e+07  5.860e+08
MPI Messages:         3.927e+04      1.00306   3.917e+04  3.134e+05
MPI Message Lengths:  1.552e+08      1.68209   2.556e+03  8.008e+08
MPI Reductions:       7.494e+03      1.00000

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 flops
                            and VecAXPY() for complex vectors of length N --> 8N flops

Summary of Stages:   ----- Time ------  ----- Flops -----  --- Messages ---  -- Message Lengths --  -- Reductions --
                        Avg     %Total     Avg     %Total   counts   %Total     Avg         %Total   counts   %Total 
 0:      Main Stage: 2.4696e-02   0.2%  0.0000e+00   0.0%  0.000e+00   0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
 1:       StepStage: 1.1863e-02   0.1%  7.0779e+07   0.8%  0.000e+00   0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
 2:       ConvStage: 1.1314e+00   7.6%  3.6176e+08   4.2%  7.200e+03   2.3%  3.765e+02       14.7%  0.000e+00   0.0% 
 3:       ProjStage: 1.7104e-01   1.2%  1.8350e+07   0.2%  9.600e+02   0.3%  5.019e+01        2.0%  0.000e+00   0.0% 
 4:         IoStage: 8.4624e-01   5.7%  0.0000e+00   0.0%  5.680e+02   0.2%  4.835e+02       18.9%  1.000e+02   1.3% 
 5:        KspStage: 2.1664e+00  14.6%  1.2813e+09  14.7%  5.464e+03   1.7%  2.115e+02        8.3%  1.213e+03  16.2% 
 6:       SolvAlloc: 4.8040e-01   3.2%  0.0000e+00   0.0%  1.920e+02   0.1%  2.511e+00        0.1%  2.260e+02   3.0% 
 7:       SolvSolve: 1.5624e-01   1.1%  3.4079e+06   0.0%  1.200e+02   0.0%  7.529e+00        0.3%  3.000e+01   0.4% 
 8:       SolvDeall: 1.4080e-03   0.0%  0.0000e+00   0.0%  0.000e+00   0.0%  0.000e+00        0.0%  0.000e+00   0.0% 
 9:        MG Apply: 9.8788e+00  66.4%  6.9772e+09  80.1%  2.988e+05  95.4%  1.424e+03       55.7%  5.924e+03  79.0% 

------------------------------------------------------------------------------------------------------------------------
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 Flops: Max - maximum over all processors
                   Ratio - ratio of maximum to minimum over all processors
   Mess: number of messages sent
   Avg. len: 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 flops 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 flops over all processors)/(max time over all processors)
------------------------------------------------------------------------------------------------------------------------
Event                Count      Time (sec)     Flops                             --- 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


--- Event Stage 1: StepStage

VecAXPY              120 1.0 1.7724e-02 2.1 8.85e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0  99100  0  0  0  3993

--- Event Stage 2: ConvStage

VecCopy              180 1.0 8.1402e-02 8.3 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0
VecAXPY              180 1.0 9.0203e-02 8.9 1.18e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0   4 26  0  0  0  1046
VecAXPBYCZ           210 1.0 1.0767e-01 3.8 2.75e+07 1.0 0.0e+00 0.0e+00 0.0e+00  1  3  0  0  0   7 61  0  0  0  2045
VecPointwiseMult     180 1.0 6.0939e-02 6.5 5.90e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0   3 13  0  0  0   774
VecScatterBegin      300 1.0 7.6515e-02 1.7 0.00e+00 0.0 7.2e+03 1.6e+04 0.0e+00  0  0  2 15  0   5  0100100  0     0
VecScatterEnd        300 1.0 7.6575e-01 1.2 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  5  0  0  0  0  62  0  0  0  0     0

--- Event Stage 3: ProjStage

VecScale              10 1.0 4.2558e-04 1.2 3.28e+05 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0 14  0  0  0  6160
VecCopy               30 1.0 6.9132e-03 2.8 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0
VecAXPY               30 1.0 2.9233e-03 1.5 1.97e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   1 86  0  0  0  5381
VecScatterBegin       40 1.0 1.8399e-02 3.3 0.00e+00 0.0 9.6e+02 1.6e+04 0.0e+00  0  0  0  2  0   5  0100100  0     0
VecScatterEnd         40 1.0 1.7596e-01 1.6 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  1  0  0  0  0  85  0  0  0  0     0

--- Event Stage 4: IoStage

VecView               20 1.0 4.0467e-01 4.0 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+01  2  0  0  0  1  28  0  0  0 40     0
VecCopy               20 1.0 1.7228e-03 1.7 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
VecScatterBegin       12 1.0 1.8814e-03 1.4 0.00e+00 0.0 2.9e+02 1.6e+04 0.0e+00  0  0  0  1  0   0  0 51  3  0     0
VecScatterEnd         12 1.0 1.2537e-01 7.1 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   8  0  0  0  0     0

--- Event Stage 5: KspStage

VecMDot               77 1.0 1.0097e-01 1.2 2.03e+07 1.0 0.0e+00 0.0e+00 7.7e+01  1  2  0  0  1   4 13  0  0  6  1604
VecNorm              187 1.0 2.6558e-01 1.2 1.23e+07 1.0 0.0e+00 0.0e+00 1.9e+02  2  1  0  0  2  11  8  0  0 15   369
VecScale              88 1.0 4.1835e-03 1.1 2.88e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  2  0  0  0  5514
VecCopy              110 1.0 9.3369e-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
VecSet               122 1.0 6.4487e-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
VecAXPY               88 1.0 5.9593e-03 1.4 5.77e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  1  0  0  0   0  4  0  0  0  7742
VecAYPX               88 1.0 5.0604e-03 1.2 2.88e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  2  0  0  0  4559
VecMAXPY             165 1.0 4.0621e-02 1.3 4.55e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  4  0  0  0   2 28  0  0  0  8970
VecScatterBegin      173 1.0 9.2487e-03 1.5 0.00e+00 0.0 4.2e+03 1.6e+04 0.0e+00  0  0  1  8  0   0  0 77 98  0     0
VecScatterEnd        173 1.0 5.2526e-01 1.2 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  3  0  0  0  0  21  0  0  0  0     0
VecNormalize          88 1.0 9.7991e-02 1.4 8.65e+06 1.0 0.0e+00 0.0e+00 8.8e+01  1  1  0  0  1   4  5  0  0  7   706
MatMult              165 1.0 6.5082e-01 1.2 7.03e+07 1.0 4.0e+03 1.6e+04 0.0e+00  4  6  1  8  0  27 44 72 98  0   864
MatMultTranspose       4 1.0 3.4583e-03 2.3 2.53e+05 1.0 2.2e+02 3.2e+02 0.0e+00  0  0  0  0  0   0  0  4  0  0   585
MatLUFactorSym         1 1.0 7.8917e-05 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
MatLUFactorNum         1 1.0 8.7976e-05 1.6 3.87e+04 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  3518
MatConvert             1 1.0 3.6001e-05 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
MatAssemblyBegin      15 1.0 7.3933e-02 1.5 0.00e+00 0.0 0.0e+00 0.0e+00 2.8e+01  0  0  0  0  0   3  0  0  0  2     0
MatAssemblyEnd        15 1.0 4.1289e-02 1.4 0.00e+00 0.0 6.9e+02 4.3e+02 7.2e+01  0  0  0  0  1   2  0 13  0  6     0
MatGetRowIJ            1 1.0 9.0599e-06 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
MatGetSubMatrice       1 1.0 1.0691e-03 1.8 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+00  0  0  0  0  0   0  0  0  0  0     0
MatGetOrdering         1 1.0 4.8876e-05 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
MatView              132 1.2 4.2408e-01 2.5 0.00e+00 0.0 0.0e+00 0.0e+00 1.1e+02  3  0  0  0  1  18  0  0  0  9     0
MatGetRedundant        1 1.0 1.1230e-03 1.7 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+00  0  0  0  0  0   0  0  0  0  0     0
MatMPIConcateSeq       1 1.0 3.9101e-05 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
KSPGMRESOrthog        77 1.0 1.1721e-01 1.2 4.05e+07 1.0 0.0e+00 0.0e+00 7.7e+01  1  4  0  0  1   5 25  0  0  6  2764
KSPSetUp               7 1.0 9.3307e-03 1.2 0.00e+00 0.0 0.0e+00 0.0e+00 3.4e+01  0  0  0  0  0   0  0  0  0  3     0
Warning -- total time of even greater than time of entire stage -- something is wrong with the timer
KSPSolve              11 1.0 1.1635e+01 1.0 1.03e+09 1.0 3.0e+05 1.7e+03 7.0e+03 78 95 97 64 94 5366455569773579   710
PCSetUp                1 1.0 1.4414e-01 1.0 2.91e+05 1.0 1.5e+03 8.3e+02 3.4e+02  1  0  0  0  5   7  0 27  2 28    16
Warning -- total time of even greater than time of entire stage -- something is wrong with the timer
PCApply               88 1.0 9.8873e+00 1.0 8.72e+08 1.0 3.0e+05 1.5e+03 5.9e+03 66 80 95 56 79 4565455469673488   706
MGSetup Level 0        1 1.0 8.9178e-03 1.8 3.87e+04 1.0 1.9e+02 3.9e+01 3.8e+01  0  0  0  0  1   0  0  4  0  3    35
MGSetup Level 1        1 1.0 3.5300e-03 1.2 0.00e+00 0.0 4.8e+01 6.6e+01 2.4e+01  0  0  0  0  0   0  0  1  0  2     0
MGSetup Level 2        1 1.0 6.0401e-03 1.1 0.00e+00 0.0 4.8e+01 2.6e+02 2.4e+01  0  0  0  0  0   0  0  1  0  2     0
MGSetup Level 3        1 1.0 2.8425e-02 1.0 0.00e+00 0.0 4.8e+01 1.0e+03 2.4e+01  0  0  0  0  0   1  0  1  0  2     0
MGSetup Level 4        1 1.0 2.9070e-03 2.0 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00  0  0  0  0  0   0  0  0  0  0     0

--- Event Stage 6: SolvAlloc

VecSet                50 1.0 1.6383e-02 3.7 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   2  0  0  0  0     0
MatAssemblyBegin       4 1.0 1.1187e-01 4.9 0.00e+00 0.0 0.0e+00 0.0e+00 8.0e+00  0  0  0  0  0  15  0  0  0  4     0
MatAssemblyEnd         4 1.0 4.0808e-02 1.5 0.00e+00 0.0 9.6e+01 4.1e+03 1.6e+01  0  0  0  0  0   7  0 50 50  7     0

--- Event Stage 7: SolvSolve

VecNorm               30 1.0 8.2951e-02 1.6 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+01  0  0  0  0  0  42  0  0  0100     0
VecScale               1 1.0 5.8317e-0411.2 3.28e+04 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  8  0  0  0   450
VecCopy                6 1.0 6.0177e-04 2.5 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
VecSet                 1 1.0 2.5990e-03 9.2 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
VecAXPY                6 1.0 5.6362e-04 1.9 3.93e+05 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0 92  0  0  0  5581
VecScatterBegin        5 1.0 9.3579e-04 1.5 0.00e+00 0.0 1.2e+02 2.0e+04 0.0e+00  0  0  0  0  0   1  0100100  0     0
VecScatterEnd          5 1.0 3.4877e-02 3.9 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0  14  0  0  0  0     0

--- Event Stage 8: SolvDeall


--- Event Stage 9: MG Apply

VecMDot               40 1.0 5.9973e-02 1.8 4.12e+06 1.0 0.0e+00 0.0e+00 4.0e+01  0  0  0  0  1   1  0  0  0  1   549
VecNorm               44 1.0 4.3393e-02 1.8 8.24e+05 1.0 0.0e+00 0.0e+00 4.4e+01  0  0  0  0  1   0  0  0  0  1   152
VecScale              44 1.0 7.3981e-04 1.2 4.12e+05 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  4453
VecCopy              532 1.0 2.0494e-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
VecSet              4316 1.0 3.5908e-03 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
VecAXPY                8 1.0 1.9002e-04 1.5 1.50e+05 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  6305
VecAYPX             7392 1.0 6.8383e-02 1.2 4.09e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  4  0  0  0   1  5  0  0  0  4787
VecAXPBYCZ          3520 1.0 4.7338e-02 1.1 7.52e+07 1.0 0.0e+00 0.0e+00 0.0e+00  0  7  0  0  0   0  9  0  0  0 12716
VecMAXPY              44 1.0 7.3493e-03 2.5 4.87e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  1  0  0  0  5298
VecScatterBegin     9020 1.0 6.5990e-02 1.1 0.00e+00 0.0 3.0e+05 1.5e+03 0.0e+00  0  0 95 56  0   1  0100100  0     0
VecScatterEnd       9020 1.0 4.4829e+00 1.1 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 29  0  0  0  0  44  0  0  0  0     0
VecNormalize          44 1.0 4.4158e-02 1.8 1.24e+06 1.0 0.0e+00 0.0e+00 4.4e+01  0  0  0  0  1   0  0  0  0  1   224
MatMult             6028 1.0 4.3947e+00 1.1 3.61e+08 1.0 1.6e+05 2.7e+03 0.0e+00 28 33 50 53  0  43 41 52 94  0   656
MatMultAdd           880 1.0 3.1981e-01 1.2 2.54e+07 1.0 4.9e+04 1.7e+02 0.0e+00  2  2 16  1  0   3  3 16  2  0   635
MatMultTranspose    1232 1.0 5.7993e-01 1.1 4.76e+07 1.0 6.9e+04 2.1e+02 0.0e+00  4  4 22  2  0   6  5 23  3  0   657
MatSolve             440 1.0 2.6267e-03 1.1 1.72e+06 1.0 0.0e+00 0.0e+00 0.0e+00  0  0  0  0  0   0  0  0  0  0  5232
MatSOR              5324 1.0 8.8669e-01 1.1 3.10e+08 1.0 0.0e+00 0.0e+00 0.0e+00  6 28  0  0  0   9 36  0  0  0  2800
MatResidual          880 1.0 5.4892e-01 1.1 5.27e+07 1.0 2.1e+04 2.9e+03 0.0e+00  4  5  7  8  0   5  6  7 14  0   768
KSPGMRESOrthog        40 1.0 6.2556e-02 1.7 8.24e+06 1.0 0.0e+00 0.0e+00 4.0e+01  0  1  0  0  1   1  1  0  0  1  1053
KSPSetUp               4 1.0 9.8751e-03 1.8 0.00e+00 0.0 0.0e+00 0.0e+00 4.0e+01  0  0  0  0  1   0  0  0  0  1     0
KSPSolve            2200 1.0 8.3100e+00 1.0 7.28e+08 1.0 1.4e+05 2.5e+03 5.9e+03 55 67 45 44 79  83 83 47 80100   700
PCApply             5764 1.0 9.4324e-01 1.1 3.12e+08 1.0 2.5e+04 6.4e+01 0.0e+00  6 29  8  0  0   9 36  8  0  0  2646
MGSmooth Level 0     440 1.0 1.2119e-01 1.1 1.72e+06 1.0 2.5e+04 6.4e+01 4.4e+02  1  0  8  0  6   1  0  8  0  7   113
MGSmooth Level 1     704 1.0 3.0677e-01 1.0 3.72e+06 1.0 4.5e+04 2.6e+02 2.2e+03  2  0 14  1 29   3  0 15  3 37    97
MGResid Level 1      352 1.0 3.7244e-02 1.4 3.15e+05 1.0 8.4e+03 2.6e+02 0.0e+00  0  0  3  0  0   0  0  3  0  0    68
MGInterp Level 1     880 1.0 9.5410e-02 1.2 3.75e+05 1.0 4.9e+04 2.2e+01 0.0e+00  1  0 16  0  0   1  0 16  0  0    31
MGSmooth Level 2     528 1.0 4.3912e-01 1.0 2.38e+07 1.0 3.4e+04 1.0e+03 1.6e+03  3  2 11  4 22   4  3 11  8 28   433
MGResid Level 2      264 1.0 4.4301e-02 1.4 1.89e+06 1.0 6.3e+03 1.0e+03 0.0e+00  0  0  2  1  0   0  0  2  1  0   342
MGInterp Level 2     704 1.0 1.1298e-01 1.1 2.39e+06 1.0 3.9e+04 7.0e+01 0.0e+00  1  0 13  0  0   1  0 13  1  0   169
MGSmooth Level 3     352 1.0 1.6617e+00 1.0 1.32e+08 1.0 2.3e+04 4.1e+03 1.1e+03 11 12  7 12 15  17 15  8 22 19   638
MGResid Level 3      176 1.0 1.2805e-01 1.2 1.01e+07 1.0 4.2e+03 4.1e+03 0.0e+00  1  1  1  2  0   1  1  1  4  0   631
MGInterp Level 3     528 1.0 2.5215e-01 1.2 1.42e+07 1.0 3.0e+04 2.5e+02 0.0e+00  2  1  9  1  0   2  2 10  2  0   452
MGSmooth Level 4     176 1.0 5.8620e+00 1.0 5.66e+08 1.0 1.3e+04 1.6e+04 5.8e+02 39 52  4 26  8  58 65  4 48 10   772
MGResid Level 4       88 1.0 3.4808e-01 1.0 4.04e+07 1.0 2.1e+03 1.6e+04 0.0e+00  2  4  1  4  0   3  5  1  8  0   928
MGInterp Level 4     352 1.0 7.0880e-01 1.2 7.50e+07 1.0 2.0e+04 9.3e+02 0.0e+00  4  7  6  2  0   7  9  7  4  0   846
------------------------------------------------------------------------------------------------------------------------

Memory usage is given in bytes:

Object Type          Creations   Destructions     Memory  Descendants' Mem.
Reports information only for process 0.

--- Event Stage 0: Main Stage

              Viewer     1              0            0     0

--- Event Stage 1: StepStage


--- Event Stage 2: ConvStage


--- Event Stage 3: ProjStage


--- Event Stage 4: IoStage

              Vector    20             20      5274080     0
              Viewer    20             20        14400     0

--- Event Stage 5: KspStage

              Vector   286            206     46757776     0
      Vector Scatter    23              4       116656     0
              Matrix    30              0            0     0
   Matrix Null Space    16             11         6644     0
    Distributed Mesh     8              0            0     0
Star Forest Bipartite Graph    16              0            0     0
     Discrete System     8              0            0     0
           Index Set    51             46       146616     0
   IS L to G Mapping     8              0            0     0
       Krylov Solver     4              0            0     0
     DMKSP interface     2              0            0     0
      Preconditioner     4              0            0     0
              Viewer    11             11         8272     0

--- Event Stage 6: SolvAlloc

              Vector   141              6         9232     0
      Vector Scatter     4              0            0     0
              Matrix     6              0            0     0
    Distributed Mesh     2              0            0     0
Star Forest Bipartite Graph     4              0            0     0
     Discrete System     2              0            0     0
           Index Set     8              8       366784     0
   IS L to G Mapping     2              0            0     0
       Krylov Solver     7              0            0     0
     DMKSP interface     1              0            0     0
      Preconditioner     7              0            0     0
              Viewer     1              0            0     0

--- Event Stage 7: SolvSolve

              Vector     1              0            0     0

--- Event Stage 8: SolvDeall

              Vector     0            256     46163472     0
      Vector Scatter     0             20        96688     0
              Matrix     0             33     11943444     0
   Matrix Null Space     0              5         3020     0
    Distributed Mesh     0              8        39232     0
Star Forest Bipartite Graph     0             16        13056     0
     Discrete System     0              8         6400     0
           Index Set     0              5         4472     0
   IS L to G Mapping     0              8        61664     0
       Krylov Solver     0             11       146808     0
     DMKSP interface     0              2         1328     0
      Preconditioner     0             11        10280     0

--- Event Stage 9: MG Apply

              Vector    60              8        87360     0
========================================================================================================================
Average time to get PetscTime(): 0
Average time for MPI_Barrier(): 2.49863e-05
Average time for zero size MPI_Send(): 3.00109e-05
#PETSc Option Table entries:
-ksp_converged_reason
-ksp_monitor
-ksp_monitor_true_residual
-ksp_view
-log_summary
-options_left
-pc_mg_levels 5
-pc_mg_log
-pc_mg_type full
-pc_type mg
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