[petsc-users] DMPlex in Firedrake: scaling of mesh distribution
Mark Adams
mfadams at lbl.gov
Sun Mar 7 07:35:30 CST 2021
And this data puts one cell per process, distributes, and then refines 5
(or 2,3,4 in plot) times.
On Sun, Mar 7, 2021 at 8:27 AM Mark Adams <mfadams at lbl.gov> wrote:
> FWIW, Here is the output from ex13 on 32K processes (8K Fugaku
> nodes/sockets, 4 MPI/node, which seems recommended) with 128^3 vertex mesh
> (64^3 Q2 3D Laplacian).
> Almost an hour.
> Attached is solver scaling.
>
>
> 0 SNES Function norm 3.658334849208e+00
> Linear solve converged due to CONVERGED_RTOL iterations 22
> 1 SNES Function norm 1.609000373074e-12
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
> Linear solve converged due to CONVERGED_RTOL iterations 22
>
> ************************************************************************************************************************
> *** WIDEN YOUR WINDOW TO 120 CHARACTERS. Use 'enscript -r
> -fCourier9' to print this document ***
>
> ************************************************************************************************************************
>
> ---------------------------------------------- PETSc Performance Summary:
> ----------------------------------------------
>
> ../ex13 on a named i07-4008c with 32768 processors, by a04199 Fri Feb 12
> 23:27:13 2021
> Using Petsc Development GIT revision: v3.14.4-579-g4cb72fa GIT Date:
> 2021-02-05 15:19:40 +0000
>
> Max Max/Min Avg Total
> Time (sec): 3.373e+03 1.000 3.373e+03
> Objects: 1.055e+05 14.797 7.144e+03
> Flop: 5.376e+10 1.176 4.885e+10 1.601e+15
> Flop/sec: 1.594e+07 1.176 1.448e+07 4.745e+11
> MPI Messages: 6.048e+05 30.010 8.833e+04 2.894e+09
> MPI Message Lengths: 1.127e+09 4.132 6.660e+03 1.928e+13
> MPI Reductions: 1.824e+03 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: 3.2903e+03 97.5% 2.4753e+14 15.5% 3.538e+08
> 12.2% 1.779e+04 32.7% 9.870e+02 54.1%
> 1: PCSetUp: 4.3062e+01 1.3% 1.8160e+13 1.1% 1.902e+07
> 0.7% 3.714e+04 3.7% 1.590e+02 8.7%
> 2: KSP Solve only: 3.9685e+01 1.2% 1.3349e+15 83.4% 2.522e+09
> 87.1% 4.868e+03 63.7% 6.700e+02 36.7%
>
>
> ------------------------------------------------------------------------------------------------------------------------
> 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
>
> PetscBarrier 5 1.0 1.9907e+00 2.2 0.00e+00 0.0 3.8e+06 7.7e+01
> 2.0e+01 0 0 0 0 1 0 0 1 0 2 0
> BuildTwoSided 62 1.0 7.3272e+0214.1 0.00e+00 0.0 6.7e+06 8.0e+00
> 0.0e+00 5 0 0 0 0 5 0 2 0 0 0
> BuildTwoSidedF 59 1.0 3.1132e+01 7.4 0.00e+00 0.0 4.8e+06 2.5e+05
> 0.0e+00 0 0 0 6 0 0 0 1 19 0 0
> SNESSolve 1 1.0 1.7468e+02 1.0 7.83e+09 1.3 3.4e+08 1.3e+04
> 8.8e+02 5 13 12 23 48 5 85 96 70 89 1205779
> SNESSetUp 1 1.0 2.4195e+01 1.0 0.00e+00 0.0 3.7e+06 3.7e+05
> 1.3e+01 1 0 0 7 1 1 0 1 22 1 0
> SNESFunctionEval 3 1.0 1.1359e+01 1.2 1.17e+09 1.0 1.6e+06 1.4e+04
> 2.0e+00 0 2 0 0 0 0 15 0 0 0 3344744
> SNESJacobianEval 2 1.0 1.6829e+02 1.0 1.52e+09 1.0 1.1e+06 8.3e+05
> 0.0e+00 5 3 0 5 0 5 20 0 14 0 293588
> DMCreateMat 1 1.0 2.4107e+01 1.0 0.00e+00 0.0 3.7e+06 3.7e+05
> 1.3e+01 1 0 0 7 1 1 0 1 22 1 0
> Mesh Partition 1 1.0 5.0133e+02 1.0 0.00e+00 0.0 1.3e+05 2.7e+02
> 6.0e+00 15 0 0 0 0 15 0 0 0 1 0
> Mesh Migration 1 1.0 1.5494e+03 1.0 0.00e+00 0.0 7.3e+05 1.9e+02
> 2.4e+01 45 0 0 0 1 46 0 0 0 2 0
> DMPlexPartSelf 1 1.0 1.1498e+002367.3 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
> DMPlexPartLblInv 1 1.0 3.6698e+00 1.5 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
> DMPlexPartLblSF 1 1.0 2.8522e-01 1.7 0.00e+00 0.0 4.9e+04 1.5e+02
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> DMPlexPartStrtSF 1 1.0 4.9474e+023520.8 0.00e+00 0.0 3.3e+04 4.3e+02
> 0.0e+00 14 0 0 0 0 15 0 0 0 0 0
> DMPlexPointSF 1 1.0 9.8750e+021264.8 0.00e+00 0.0 6.6e+04 5.4e+02
> 0.0e+00 28 0 0 0 0 29 0 0 0 0 0
> DMPlexInterp 84 1.0 4.3219e-0158.6 0.00e+00 0.0 0.0e+00 0.0e+00
> 5.0e+00 0 0 0 0 0 0 0 0 0 1 0
> DMPlexDistribute 1 1.0 3.0000e+03 1.5 0.00e+00 0.0 9.3e+05 2.3e+02
> 3.0e+01 88 0 0 0 2 90 0 0 0 3 0
> DMPlexDistCones 1 1.0 1.0688e+03 2.6 0.00e+00 0.0 1.8e+05 3.1e+02
> 1.0e+00 31 0 0 0 0 31 0 0 0 0 0
> DMPlexDistLabels 1 1.0 2.9172e+02 1.0 0.00e+00 0.0 3.1e+05 1.9e+02
> 2.1e+01 9 0 0 0 1 9 0 0 0 2 0
> DMPlexDistField 1 1.0 1.8688e+02 1.2 0.00e+00 0.0 2.1e+05 9.3e+01
> 1.0e+00 5 0 0 0 0 5 0 0 0 0 0
> DMPlexStratify 118 1.0 6.2852e+023280.9 0.00e+00 0.0 0.0e+00 0.0e+00
> 1.6e+01 1 0 0 0 1 1 0 0 0 2 0
> DMPlexSymmetrize 118 1.0 6.7634e-02 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
> DMPlexPrealloc 1 1.0 2.3741e+01 1.0 0.00e+00 0.0 3.7e+06 3.7e+05
> 1.1e+01 1 0 0 7 1 1 0 1 22 1 0
> DMPlexResidualFE 3 1.0 1.0634e+01 1.2 1.16e+09 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 2 0 0 0 0 15 0 0 0 3569848
> DMPlexJacobianFE 2 1.0 1.6809e+02 1.0 1.51e+09 1.0 6.5e+05 1.4e+06
> 0.0e+00 5 3 0 5 0 5 20 0 14 0 293801
> SFSetGraph 87 1.0 2.7673e-03 3.2 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
> SFSetUp 62 1.0 7.3283e+0213.6 0.00e+00 0.0 2.0e+07 2.7e+04
> 0.0e+00 5 0 1 3 0 5 0 6 9 0 0
> SFBcastOpBegin 107 1.0 1.5770e+00452.5 0.00e+00 0.0 2.1e+07 1.8e+04
> 0.0e+00 0 0 1 2 0 0 0 6 6 0 0
> SFBcastOpEnd 107 1.0 2.9430e+03 4.8 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 80 0 0 0 0 82 0 0 0 0 0
> SFReduceBegin 12 1.0 2.4825e-01172.8 0.00e+00 0.0 2.4e+06 2.0e+05
> 0.0e+00 0 0 0 2 0 0 0 1 8 0 0
> SFReduceEnd 12 1.0 3.8286e+014865.8 3.74e+04 0.0 0.0e+00 0.0e+00
> 0.0e+00 1 0 0 0 0 1 0 0 0 0 31
> SFFetchOpBegin 2 1.0 2.4497e-0390.2 0.00e+00 0.0 4.3e+05 3.5e+05
> 0.0e+00 0 0 0 1 0 0 0 0 2 0 0
> SFFetchOpEnd 2 1.0 6.1349e-0210.9 0.00e+00 0.0 4.3e+05 3.5e+05
> 0.0e+00 0 0 0 1 0 0 0 0 2 0 0
> SFCreateEmbed 3 1.0 3.6800e+013261.5 0.00e+00 0.0 4.7e+05 1.7e+03
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> SFDistSection 9 1.0 4.4325e+02 1.5 0.00e+00 0.0 2.8e+06 1.1e+04
> 9.0e+00 11 0 0 0 0 11 0 1 1 1 0
> SFSectionSF 11 1.0 2.3898e+02 4.7 0.00e+00 0.0 9.2e+05 1.7e+05
> 0.0e+00 5 0 0 1 0 5 0 0 2 0 0
> SFRemoteOff 2 1.0 3.2868e-0143.1 0.00e+00 0.0 8.7e+05 8.2e+03
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> SFPack 1023 1.0 2.5215e-0176.6 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
> SFUnpack 1025 1.0 5.1600e-0216.8 5.62e+0521.3 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 54693
> MatMult 1549525.4 3.4810e+00 1.3 4.35e+09 1.1 2.2e+08 6.1e+03
> 0.0e+00 0 8 8 7 0 0 54 62 21 0 38319208
> MatMultAdd 132 1.0 6.9168e-01 3.0 7.97e+07 1.2 2.8e+07 4.6e+02
> 0.0e+00 0 0 1 0 0 0 1 8 0 0 3478717
> MatMultTranspose 132 1.0 5.9967e-01 1.6 8.00e+07 1.2 3.0e+07 4.5e+02
> 0.0e+00 0 0 1 0 0 0 1 9 0 0 4015214
> MatSolve 22 0.0 6.8431e-04 0.0 7.41e+05 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 1082
> MatLUFactorSym 1 1.0 5.9569e-0433.3 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
> MatLUFactorNum 1 1.0 1.6236e-03773.2 1.46e+06 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 897
> MatConvert 6 1.0 1.4290e-01 1.2 0.00e+00 0.0 3.0e+06 3.7e+03
> 0.0e+00 0 0 0 0 0 0 0 1 0 0 0
> MatScale 18 1.0 3.7962e-01 1.3 4.11e+07 1.2 2.0e+06 5.5e+03
> 0.0e+00 0 0 0 0 0 0 0 1 0 0 3253392
> MatResidual 132 1.0 6.8256e-01 1.4 8.27e+08 1.2 4.4e+07 5.5e+03
> 0.0e+00 0 2 2 1 0 0 10 13 4 0 36282014
> MatAssemblyBegin 244 1.0 3.1181e+01 6.6 0.00e+00 0.0 4.8e+06 2.5e+05
> 0.0e+00 0 0 0 6 0 0 0 1 19 0 0
> MatAssemblyEnd 244 1.0 6.3232e+00 1.9 3.17e+06 6.9 0.0e+00 0.0e+00
> 1.4e+02 0 0 0 0 8 0 0 0 0 15 7655
> MatGetRowIJ 1 0.0 2.5780e-05 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 10 1.0 1.5162e+00 1.0 0.00e+00 0.0 1.6e+05 3.4e+05
> 1.3e+02 0 0 0 0 7 0 0 0 1 13 0
> MatGetOrdering 1 0.0 1.0899e-04 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 6 1.0 3.5837e-01 1.3 0.00e+00 0.0 1.6e+07 1.2e+04
> 3.9e+01 0 0 1 1 2 0 0 5 3 4 0
> MatZeroEntries 8 1.0 5.3730e-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
> MatAXPY 6 1.0 2.6245e-01 1.1 2.66e+05 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 33035
> MatTranspose 12 1.0 3.0731e-02 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
> MatMatMultSym 18 1.0 2.1398e+00 1.4 0.00e+00 0.0 6.1e+06 5.5e+03
> 4.8e+01 0 0 0 0 3 0 0 2 1 5 0
> MatMatMultNum 6 1.0 1.1243e+00 1.0 3.76e+07 1.2 2.0e+06 5.5e+03
> 0.0e+00 0 0 0 0 0 0 0 1 0 0 1001203
> MatPtAPSymbolic 6 1.0 1.7280e+01 1.0 0.00e+00 0.0 1.2e+07 3.2e+04
> 4.2e+01 1 0 0 2 2 1 0 3 6 4 0
> MatPtAPNumeric 6 1.0 1.8047e+01 1.0 1.49e+09 5.1 2.8e+06 1.1e+05
> 2.4e+01 1 1 0 2 1 1 5 1 5 2 663675
> MatTrnMatMultSym 1 1.0 3.0221e+01 1.0 0.00e+00 0.0 2.4e+06 5.8e+05
> 1.1e+01 1 0 0 7 1 1 0 1 22 1 0
> MatGetLocalMat 19 1.0 1.3904e-01 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
> MatGetBrAoCol 18 1.0 1.9926e-01 5.0 0.00e+00 0.0 1.4e+07 2.3e+04
> 0.0e+00 0 0 0 2 0 0 0 4 5 0 0
> MatGetSymTrans 2 1.0 1.8996e-01 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
> VecTDot 176 1.0 7.0632e-01 4.5 3.48e+07 1.0 0.0e+00 0.0e+00
> 1.8e+02 0 0 0 0 10 0 0 0 0 18 1608728
> VecNorm 60 1.0 1.4074e+0012.2 1.58e+07 1.0 0.0e+00 0.0e+00
> 6.0e+01 0 0 0 0 3 0 0 0 0 6 366467
> VecCopy 422 1.0 5.1259e-02 3.8 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
> VecSet 653 1.0 2.3974e-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 165 1.0 6.5622e-03 1.3 3.42e+07 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 170485467
> VecAYPX 861 1.0 7.8529e-02 1.2 6.21e+07 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 1 0 0 0 25785252
> VecAXPBYCZ 264 1.0 4.1343e-02 1.5 5.85e+07 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 1 0 0 0 46135592
> VecAssemblyBegin 21 1.0 2.3463e-01 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
> VecAssemblyEnd 21 1.0 1.4457e-04 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
> VecPointwiseMult 600 1.0 5.7510e-02 1.2 2.66e+07 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 15075754
> VecScatterBegin 902 1.0 5.1188e-01 1.2 0.00e+00 0.0 2.9e+08 5.3e+03
> 0.0e+00 0 0 10 8 0 0 0 82 25 0 0
> VecScatterEnd 902 1.0 1.2143e+00 3.2 5.50e+0537.9 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 1347
> VecSetRandom 6 1.0 2.6354e-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
> DualSpaceSetUp 7 1.0 5.3467e-0112.0 4.26e+03 1.0 0.0e+00 0.0e+00
> 1.3e+01 0 0 0 0 1 0 0 0 0 1 261
> FESetUp 7 1.0 1.7541e-01128.5 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
> KSPSetUp 15 1.0 2.7470e-01 1.1 2.04e+08 1.2 1.0e+07 5.5e+03
> 1.3e+02 0 0 0 0 7 0 2 3 1 13 22477233
> KSPSolve 1 1.0 4.3257e+00 1.0 4.33e+09 1.1 2.5e+08 4.8e+03
> 6.6e+01 0 8 9 6 4 0 54 72 20 7 30855976
> PCGAMGGraph_AGG 6 1.0 5.0969e+00 1.0 3.76e+07 1.2 5.1e+06 4.4e+03
> 4.8e+01 0 0 0 0 3 0 0 1 0 5 220852
> PCGAMGCoarse_AGG 6 1.0 3.1121e+01 1.0 0.00e+00 0.0 2.5e+07 6.9e+04
> 5.5e+01 1 0 1 9 3 1 0 7 27 6 0
> PCGAMGProl_AGG 6 1.0 5.8196e-01 1.0 0.00e+00 0.0 6.6e+06 9.3e+03
> 7.2e+01 0 0 0 0 4 0 0 2 1 7 0
> PCGAMGPOpt_AGG 6 1.0 3.2414e+00 1.0 2.42e+08 1.2 2.1e+07 5.3e+03
> 1.6e+02 0 0 1 1 9 0 3 6 2 17 2256493
> GAMG: createProl 6 1.0 4.0042e+01 1.0 2.80e+08 1.2 5.8e+07 3.3e+04
> 3.4e+02 1 1 2 10 19 1 3 16 31 34 210778
> Graph 12 1.0 5.0926e+00 1.0 3.76e+07 1.2 5.1e+06 4.4e+03
> 4.8e+01 0 0 0 0 3 0 0 1 0 5 221038
> MIS/Agg 6 1.0 3.5850e-01 1.3 0.00e+00 0.0 1.6e+07 1.2e+04
> 3.9e+01 0 0 1 1 2 0 0 5 3 4 0
> SA: col data 6 1.0 3.0509e-01 1.0 0.00e+00 0.0 5.4e+06 9.2e+03
> 2.4e+01 0 0 0 0 1 0 0 2 1 2 0
> SA: frmProl0 6 1.0 2.3467e-01 1.1 0.00e+00 0.0 1.3e+06 9.5e+03
> 2.4e+01 0 0 0 0 1 0 0 0 0 2 0
> SA: smooth 6 1.0 2.7855e+00 1.0 4.14e+07 1.2 8.1e+06 5.5e+03
> 6.3e+01 0 0 0 0 3 0 1 2 1 6 446491
> GAMG: partLevel 6 1.0 3.7266e+01 1.0 1.49e+09 5.1 1.5e+07 4.9e+04
> 3.2e+02 1 1 1 4 17 1 5 4 12 32 321395
> repartition 5 1.0 2.0343e+00 1.1 0.00e+00 0.0 4.0e+05 1.4e+05
> 2.5e+02 0 0 0 0 14 0 0 0 1 25 0
> Invert-Sort 5 1.0 1.5021e-01 1.1 0.00e+00 0.0 0.0e+00 0.0e+00
> 3.0e+01 0 0 0 0 2 0 0 0 0 3 0
> Move A 5 1.0 1.1548e+00 1.0 0.00e+00 0.0 1.6e+05 3.4e+05
> 7.0e+01 0 0 0 0 4 0 0 0 1 7 0
> Move P 5 1.0 4.2799e-01 1.1 0.00e+00 0.0 0.0e+00 0.0e+00
> 7.5e+01 0 0 0 0 4 0 0 0 0 8 0
> PCGAMG Squ l00 1 1.0 3.0221e+01 1.0 0.00e+00 0.0 2.4e+06 5.8e+05
> 1.1e+01 1 0 0 7 1 1 0 1 22 1 0
> PCGAMG Gal l00 1 1.0 8.7411e+00 1.0 2.93e+08 1.1 5.4e+06 4.5e+04
> 1.2e+01 0 1 0 1 1 0 4 2 4 1 1092355
> PCGAMG Opt l00 1 1.0 1.9734e+00 1.0 3.36e+07 1.1 3.2e+06 1.2e+04
> 9.0e+00 0 0 0 0 0 0 0 1 1 1 555327
> PCGAMG Gal l01 1 1.0 1.0153e+00 1.0 3.50e+07 1.4 5.9e+06 3.9e+04
> 1.2e+01 0 0 0 1 1 0 0 2 4 1 1079887
> PCGAMG Opt l01 1 1.0 7.4812e-02 1.0 5.35e+05 1.2 3.2e+06 1.1e+03
> 9.0e+00 0 0 0 0 0 0 0 1 0 1 232542
> PCGAMG Gal l02 1 1.0 1.8063e+00 1.0 7.43e+07 0.0 3.0e+06 5.9e+04
> 1.2e+01 0 0 0 1 1 0 0 1 3 1 593392
> PCGAMG Opt l02 1 1.0 1.1580e-01 1.1 6.93e+05 0.0 1.6e+06 1.3e+03
> 9.0e+00 0 0 0 0 0 0 0 0 0 1 93213
> PCGAMG Gal l03 1 1.0 6.1075e+00 1.0 2.72e+08 0.0 2.6e+05 9.2e+04
> 1.1e+01 0 0 0 0 1 0 0 0 0 1 36155
> PCGAMG Opt l03 1 1.0 8.0836e-02 1.0 1.55e+06 0.0 1.4e+05 1.4e+03
> 8.0e+00 0 0 0 0 0 0 0 0 0 1 18229
> PCGAMG Gal l04 1 1.0 1.6203e+01 1.0 9.44e+08 0.0 1.4e+04 3.0e+05
> 1.1e+01 0 0 0 0 1 0 0 0 0 1 2366
> PCGAMG Opt l04 1 1.0 1.2663e-01 1.0 2.01e+06 0.0 6.9e+03 2.2e+03
> 8.0e+00 0 0 0 0 0 0 0 0 0 1 817
> PCGAMG Gal l05 1 1.0 1.4800e+00 1.0 3.16e+08 0.0 9.0e+01 1.6e+05
> 1.1e+01 0 0 0 0 1 0 0 0 0 1 796
> PCGAMG Opt l05 1 1.0 8.1763e-02 1.1 2.50e+06 0.0 4.8e+01 4.6e+03
> 8.0e+00 0 0 0 0 0 0 0 0 0 1 114
> PCSetUp 2 1.0 7.7969e+01 1.0 1.97e+09 2.8 8.3e+07 3.3e+04
> 8.1e+02 2 2 3 14 44 2 11 23 43 82 341051
> PCSetUpOnBlocks 22 1.0 2.4609e-0317.2 1.46e+06 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 592
> PCApply 22 1.0 3.6455e+00 1.1 3.57e+09 1.2 2.4e+08 4.3e+03
> 0.0e+00 0 7 8 5 0 0 43 67 16 0 29434967
>
> --- Event Stage 1: PCSetUp
>
> BuildTwoSided 4 1.0 1.5980e-01 2.7 0.00e+00 0.0 2.1e+05 8.0e+00
> 0.0e+00 0 0 0 0 0 0 0 1 0 0 0
> BuildTwoSidedF 6 1.0 1.3169e+01 5.5 0.00e+00 0.0 1.9e+06 1.9e+05
> 0.0e+00 0 0 0 2 0 28 0 10 51 0 0
> SFSetGraph 5 1.0 4.9640e-0519.0 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 4 1.0 1.6038e-01 2.3 0.00e+00 0.0 6.4e+05 9.1e+02
> 0.0e+00 0 0 0 0 0 0 0 3 0 0 0
> SFPack 30 1.0 3.3376e-04 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
> SFUnpack 30 1.0 1.2101e-05 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
> MatMult 30 1.0 1.5544e-01 1.5 1.87e+08 1.2 1.0e+07 5.5e+03
> 0.0e+00 0 0 0 0 0 0 31 53 8 0 35930640
> MatAssemblyBegin 43 1.0 1.3201e+01 4.7 0.00e+00 0.0 1.9e+06 1.9e+05
> 0.0e+00 0 0 0 2 0 28 0 10 51 0 0
> MatAssemblyEnd 43 1.0 1.1159e+01 1.0 2.77e+07705.7 0.0e+00 0.0e+00
> 2.0e+01 0 0 0 0 1 26 0 0 0 13 1036
> MatZeroEntries 6 1.0 4.7315e-0410.7 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
> MatTranspose 12 1.0 2.5142e-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
> MatMatMultSym 10 1.0 5.8783e-0117.4 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
> MatPtAPSymbolic 5 1.0 1.4489e+01 1.0 0.00e+00 0.0 6.2e+06 3.6e+04
> 3.5e+01 0 0 0 1 2 34 0 32 31 22 0
> MatPtAPNumeric 6 1.0 2.8457e+01 1.0 1.50e+09 5.1 2.7e+06 1.6e+05
> 2.0e+01 1 1 0 2 1 66 66 14 61 13 421190
> MatGetLocalMat 6 1.0 9.8574e-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
> MatGetBrAoCol 6 1.0 3.7669e-01 2.3 0.00e+00 0.0 5.1e+06 3.8e+04
> 0.0e+00 0 0 0 1 0 0 0 27 28 0 0
> VecTDot 66 1.0 6.5271e-02 4.1 5.85e+06 1.0 0.0e+00 0.0e+00
> 6.6e+01 0 0 0 0 4 0 1 0 0 42 2922260
> VecNorm 36 1.0 1.1226e-02 3.2 3.19e+06 1.0 0.0e+00 0.0e+00
> 3.6e+01 0 0 0 0 2 0 1 0 0 23 9268067
> VecCopy 12 1.0 1.2805e-03 3.4 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
> VecSet 11 1.0 6.6620e-05 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 60 1.0 1.0763e-03 1.5 5.32e+06 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 1 0 0 0 161104914
> VecAYPX 24 1.0 2.0581e-03 1.3 2.13e+06 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 33701038
> VecPointwiseMult 36 1.0 3.5709e-03 1.3 1.60e+06 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 14567861
> VecScatterBegin 30 1.0 2.9079e-03 7.8 0.00e+00 0.0 1.0e+07 5.5e+03
> 0.0e+00 0 0 0 0 0 0 0 53 8 0 0
> VecScatterEnd 30 1.0 3.7015e-0263.0 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
> KSPSetUp 7 1.0 2.3165e-01 1.0 2.04e+08 1.2 1.0e+07 5.5e+03
> 1.0e+02 0 0 0 0 6 1 34 53 8 64 26654598
> PCGAMG Gal l00 1 1.0 4.7415e+00 1.0 2.94e+08 1.1 1.8e+06 7.8e+04
> 0.0e+00 0 1 0 1 0 11 53 9 20 0 2015623
> PCGAMG Gal l01 1 1.0 1.2103e+00 1.0 3.50e+07 1.4 4.8e+06 6.2e+04
> 1.2e+01 0 0 0 2 1 3 6 25 41 8 905938
> PCGAMG Gal l02 1 1.0 3.4334e+00 1.0 7.41e+07 0.0 2.2e+06 8.7e+04
> 1.2e+01 0 0 0 1 1 8 6 11 27 8 312184
> PCGAMG Gal l03 1 1.0 9.6062e+00 1.0 2.71e+08 0.0 1.9e+05 1.3e+05
> 1.1e+01 0 0 0 0 1 22 1 1 4 7 22987
> PCGAMG Gal l04 1 1.0 2.2482e+01 1.0 9.43e+08 0.0 8.7e+03 4.8e+05
> 1.1e+01 1 0 0 0 1 52 0 0 1 7 1705
> PCGAMG Gal l05 1 1.0 1.5961e+00 1.1 3.16e+08 0.0 6.8e+01 2.2e+05
> 1.1e+01 0 0 0 0 1 4 0 0 0 7 738
> PCSetUp 1 1.0 4.3191e+01 1.0 1.70e+09 3.6 1.9e+07 3.7e+04
> 1.6e+02 1 1 1 4 9 100100100100100 420463
>
> --- Event Stage 2: KSP Solve only
>
> SFPack 8140 1.0 7.4247e-02 4.8 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
> SFUnpack 8140 1.0 1.2905e-02 5.2 5.50e+0637.9 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 1267207
> MatMult 5500 1.0 2.9994e+01 1.2 3.98e+10 1.1 2.0e+09 6.1e+03
> 0.0e+00 1 76 68 62 0 70 92 78 98 0 40747181
> MatMultAdd 1320 1.0 6.2192e+00 2.7 7.97e+08 1.2 2.8e+08 4.6e+02
> 0.0e+00 0 2 10 1 0 14 2 11 1 0 3868976
> MatMultTranspose 1320 1.0 4.0304e+00 1.7 8.00e+08 1.2 2.8e+08 4.6e+02
> 0.0e+00 0 2 10 1 0 7 2 11 1 0 5974153
> MatSolve 220 0.0 6.7366e-03 0.0 7.41e+06 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 1100
> MatLUFactorSym 1 1.0 5.8691e-0435.5 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 1.5955e-03756.2 1.46e+06 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 913
> MatResidual 1320 1.0 6.4920e+00 1.3 8.27e+09 1.2 4.4e+08 5.5e+03
> 0.0e+00 0 15 15 13 0 14 19 18 20 0 38146350
> MatGetRowIJ 1 0.0 2.7820e-05 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
> MatGetOrdering 1 0.0 9.6940e-05 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
> VecTDot 440 1.0 4.6162e+00 6.9 2.31e+08 1.0 0.0e+00 0.0e+00
> 4.4e+02 0 0 0 0 24 5 1 0 0 66 1635124
> VecNorm 230 1.0 3.9605e-02 1.6 1.21e+08 1.0 0.0e+00 0.0e+00
> 2.3e+02 0 0 0 0 13 0 0 0 0 34 99622387
> VecCopy 3980 1.0 5.4166e-01 4.3 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
> VecSet 4640 1.0 1.4216e-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
> VecAXPY 440 1.0 4.2829e-02 1.3 2.31e+08 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 1 0 0 0 176236363
> VecAYPX 8130 1.0 7.3998e-01 1.2 5.78e+08 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 1 0 0 0 2 1 0 0 0 25489392
> VecAXPBYCZ 2640 1.0 3.9974e-01 1.5 5.85e+08 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 1 0 0 0 1 1 0 0 0 47716315
> VecPointwiseMult 5280 1.0 5.9845e-01 1.5 2.34e+08 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 1 1 0 0 0 12748927
> VecScatterBegin 8140 1.0 4.9231e-01 5.9 0.00e+00 0.0 2.5e+09 4.9e+03
> 0.0e+00 0 0 87 64 0 1 0100100 0 0
> VecScatterEnd 8140 1.0 1.0172e+01 3.6 5.50e+0637.9 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 13 0 0 0 0 1608
> KSPSetUp 1 1.0 9.5996e-07 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
> KSPSolve 10 1.0 3.9685e+01 1.0 4.33e+10 1.1 2.5e+09 4.9e+03
> 6.7e+02 1 83 87 64 37 100100100100100 33637495
> PCSetUp 1 1.0 2.4149e-0318.1 1.46e+06 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 603
> PCSetUpOnBlocks 220 1.0 2.6945e-03 8.9 1.46e+06 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 540
> PCApply 220 1.0 3.2921e+01 1.1 3.57e+10 1.2 2.3e+09 4.3e+03
> 0.0e+00 1 67 81 53 0 81 80 93 82 0 32595360
>
> ------------------------------------------------------------------------------------------------------------------------
>
> 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 112 112 69888 0.
> SNES 1 1 1532 0.
> DMSNES 1 1 720 0.
> Distributed Mesh 449 449 30060888 0.
> DM Label 790 790 549840 0.
> Quadrature 579 579 379824 0.
> Index Set 100215 100210 361926232 0.
> IS L to G Mapping 8 13 4356552 0.
> Section 771 771 598296 0.
> Star Forest Graph 897 897 1053640 0.
> Discrete System 521 521 533512 0.
> GraphPartitioner 118 118 91568 0.
> Matrix 432 462 2441805304 0.
> Matrix Coarsen 6 6 4032 0.
> Vector 354 354 65492968 0.
> Linear Space 7 7 5208 0.
> Dual Space 111 111 113664 0.
> FE Space 7 7 5992 0.
> Field over DM 6 6 4560 0.
> Krylov Solver 21 21 37560 0.
> DMKSP interface 1 1 704 0.
> Preconditioner 21 21 21632 0.
> Viewer 2 1 896 0.
> PetscRandom 12 12 8520 0.
>
> --- Event Stage 1: PCSetUp
>
> Index Set 10 15 85367336 0.
> IS L to G Mapping 5 0 0 0.
> Star Forest Graph 5 5 6600 0.
> Matrix 50 20 73134024 0.
> Vector 28 28 6235096 0.
>
> --- Event Stage 2: KSP Solve only
>
> Index Set 5 5 8296 0.
> Matrix 1 1 273856 0.
>
> ========================================================================================================================
> Average time to get PetscTime(): 6.40051e-08
> Average time for MPI_Barrier(): 8.506e-06
> Average time for zero size MPI_Send(): 6.6027e-06
> #PETSc Option Table entries:
> -benchmark_it 10
> -dm_distribute
> -dm_plex_box_dim 3
> -dm_plex_box_faces 32,32,32
> -dm_plex_box_lower 0,0,0
> -dm_plex_box_simplex 0
> -dm_plex_box_upper 1,1,1
> -dm_refine 5
> -ksp_converged_reason
> -ksp_max_it 150
> -ksp_norm_type unpreconditioned
> -ksp_rtol 1.e-12
> -ksp_type cg
> -log_view
> -matptap_via scalable
> -mg_levels_esteig_ksp_max_it 5
> -mg_levels_esteig_ksp_type cg
> -mg_levels_ksp_max_it 2
> -mg_levels_ksp_type chebyshev
> -mg_levels_pc_type jacobi
> -pc_gamg_agg_nsmooths 1
> -pc_gamg_coarse_eq_limit 2000
> -pc_gamg_coarse_grid_layout_type spread
> -pc_gamg_esteig_ksp_max_it 5
> -pc_gamg_esteig_ksp_type cg
> -pc_gamg_process_eq_limit 500
> -pc_gamg_repartition false
> -pc_gamg_reuse_interpolation true
> -pc_gamg_square_graph 1
> -pc_gamg_threshold 0.01
> -pc_gamg_threshold_scale .5
> -pc_gamg_type agg
> -pc_type gamg
> -petscpartitioner_simple_node_grid 8,8,8
> -petscpartitioner_simple_process_grid 4,4,4
> -petscpartitioner_type simple
> -potential_petscspace_degree 2
> -snes_converged_reason
> -snes_max_it 1
> -snes_monitor
> -snes_rtol 1.e-8
> -snes_type ksponly
> #End of PETSc Option Table entries
> Compiled without FORTRAN kernels
> Compiled with 64 bit PetscInt
> Compiled with full precision matrices (default)
> sizeof(short) 2 sizeof(int) 4 sizeof(long) 8 sizeof(void*) 8
> sizeof(PetscScalar) 8 sizeof(PetscInt) 8
> Configure options: CC=mpifccpx CXX=mpiFCCpx CFLAGS="-L
> /opt/FJSVxtclanga/tcsds-1.2.29/lib64 -lfjlapack" CXXFLAGS="-L
> /opt/FJSVxtclanga/tcsds-1.2.29/lib64 -lfjlapack" COPTFLAGS=-Kfast
> CXXOPTFLAGS=-Kfast --with-fc=0
> --package-prefix-hash=/home/ra010009/a04199/petsc-hash-pkgs --with-batch=1
> --with-shared-libraries=yes --with-debugging=no --with-64-bit-indices=1
> PETSC_ARCH=arch-fugaku-fujitsu
> -----------------------------------------
> Libraries compiled on 2021-02-12 02:27:41 on fn01sv08
> Machine characteristics:
> Linux-3.10.0-957.27.2.el7.x86_64-x86_64-with-redhat-7.6-Maipo
> Using PETSc directory: /home/ra010009/a04199/petsc
> Using PETSc arch:
> -----------------------------------------
>
> Using C compiler: mpifccpx -L /opt/FJSVxtclanga/tcsds-1.2.29/lib64
> -lfjlapack -fPIC -Kfast
> -----------------------------------------
>
> Using include paths: -I/home/ra010009/a04199/petsc/include
> -I/home/ra010009/a04199/petsc/arch-fugaku-fujitsu/include
> -----------------------------------------
>
> Using C linker: mpifccpx
> Using libraries: -Wl,-rpath,/home/ra010009/a04199/petsc/lib
> -L/home/ra010009/a04199/petsc/lib -lpetsc
> -Wl,-rpath,/opt/FJSVxos/devkit/aarch64/lib/gcc/aarch64-linux-gnu/8
> -L/opt/FJSVxos/devkit/aarch64/lib/gcc/aarch64-linux-gnu/8
> -Wl,-rpath,/opt/FJSVxtclanga/tcsds-1.2.29/lib64
> -L/opt/FJSVxtclanga/tcsds-1.2.29/lib64
> -Wl,-rpath,/opt/FJSVxtclanga/.common/MELI022/lib64
> -L/opt/FJSVxtclanga/.common/MELI022/lib64
> -Wl,-rpath,/opt/FJSVxos/devkit/aarch64/aarch64-linux-gnu/lib64
> -L/opt/FJSVxos/devkit/aarch64/aarch64-linux-gnu/lib64
> -Wl,-rpath,/opt/FJSVxos/devkit/aarch64/rfs/usr/lib64
> -L/opt/FJSVxos/devkit/aarch64/rfs/usr/lib64
> -Wl,-rpath,/opt/FJSVxos/devkit/aarch64/rfs/opt/FJSVxos/mmm/lib64
> -L/opt/FJSVxos/devkit/aarch64/rfs/opt/FJSVxos/mmm/lib64
> -Wl,-rpath,/opt/FJSVxtclanga/tcsds-1.2.29/lib64/nofjobj
> -L/opt/FJSVxtclanga/tcsds-1.2.29/lib64/nofjobj -lX11 -lfjprofmpi -lfjlapack
> -ldl -lmpi_cxx -lmpi -lfjstring_internal -lfj90i -lfj90fmt_sve -lfj90f
> -lfjsrcinfo -lfjcrt -lfjprofcore -lfjprofomp -lfjc++ -lfjc++abi -lfjdemgl
> -lmpg -lm -lrt -lpthread -lelf -lz -lgcc_s -ldl
> -----------------------------------------
>
>
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