0 SNES Function norm 1.034922128099e+00 0 KSP Residual norm 1.340135190312e+02 1 KSP Residual norm 1.376536076922e-01 2 KSP Residual norm 1.432504716578e-03 3 KSP Residual norm 1.622918297710e-05 4 KSP Residual norm 2.371229941465e-07 5 KSP Residual norm 2.834462187101e-09 1 SNES Function norm 6.469929836472e-05 0 KSP Residual norm 1.044398968058e+01 1 KSP Residual norm 4.551714884330e-05 2 KSP Residual norm 2.998575749713e-08 3 KSP Residual norm 3.428250820533e-10 2 SNES Function norm 4.967666896993e-07 0 KSP Residual norm 8.556725159981e-02 1 KSP Residual norm 2.595780054730e-07 2 KSP Residual norm 1.119070259406e-11 3 SNES Function norm 3.366079751400e-11 SNES Object: 1 MPI processes type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=10 total number of function evaluations=4 norm schedule ALWAYS SNESLineSearch Object: 1 MPI processes type: bt interpolation: cubic alpha=1.000000e-04 maxstep=1.000000e+08, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI processes type: gmres GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement GMRES: happy breakdown tolerance 1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000 left preconditioning using PRECONDITIONED norm type for convergence test PC Object: 1 MPI processes type: mg MG: type is MULTIPLICATIVE, levels=3 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level ------------------------------- KSP Object: (mg_coarse_) 1 MPI processes type: preonly maximum iterations=1, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000 left preconditioning using NONE norm type for convergence test PC Object: (mg_coarse_) 1 MPI processes type: lu LU: out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 5, needed 10.3905 Factored matrix follows: Mat Object: 1 MPI processes type: seqaij rows=103041, cols=103041 package used to perform factorization: petsc total: nonzeros=5.33988e+06, allocated nonzeros=5.33988e+06 total number of mallocs used during MatSetValues calls =0 not using I-node routines linear system matrix = precond matrix: Mat Object: 1 MPI processes type: seqaij rows=103041, cols=103041 total: nonzeros=513921, allocated nonzeros=513921 total number of mallocs used during MatSetValues calls =0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI processes type: richardson Richardson: damping factor=1 maximum iterations=2 tolerances: relative=1e-05, absolute=1e-50, divergence=10000 left preconditioning using nonzero initial guess using NONE norm type for convergence test PC Object: (mg_levels_1_) 1 MPI processes type: sor SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1 linear system matrix = precond matrix: Mat Object: 1 MPI processes type: seqaij rows=410881, cols=410881 total: nonzeros=2.05184e+06, allocated nonzeros=2.05184e+06 total number of mallocs used during MatSetValues calls =0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) Down solver (pre-smoother) on level 2 ------------------------------- KSP Object: (mg_levels_2_) 1 MPI processes type: richardson Richardson: damping factor=1 maximum iterations=2 tolerances: relative=1e-05, absolute=1e-50, divergence=10000 left preconditioning using nonzero initial guess using NONE norm type for convergence test PC Object: (mg_levels_2_) 1 MPI processes type: sor SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1 linear system matrix = precond matrix: Mat Object: 1 MPI processes type: seqaij rows=1640961, cols=1640961 total: nonzeros=8.19968e+06, allocated nonzeros=8.19968e+06 total number of mallocs used during MatSetValues calls =0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix = precond matrix: Mat Object: 1 MPI processes type: seqaij rows=1640961, cols=1640961 total: nonzeros=8.19968e+06, allocated nonzeros=8.19968e+06 total number of mallocs used during MatSetValues calls =0 not using I-node routines ************************************************************************************************************************ *** WIDEN YOUR WINDOW TO 120 CHARACTERS. Use 'enscript -r -fCourier9' to print this document *** ************************************************************************************************************************ ---------------------------------------------- PETSc Performance Summary: ---------------------------------------------- ./ex5 on a arch-linux2-c-opt named helios91 with 1 processor, by tnicolas Thu Oct 15 12:47:30 2015 Using Petsc Release Version 3.6.0, Jun, 09, 2015 Max Max/Min Avg Total Time (sec): 8.142e+00 1.00000 8.142e+00 Objects: 1.520e+02 1.00000 1.520e+02 Flops: 4.825e+09 1.00000 4.825e+09 4.825e+09 Flops/sec: 5.926e+08 1.00000 5.926e+08 5.926e+08 MPI Messages: 0.000e+00 0.00000 0.000e+00 0.000e+00 MPI Message Lengths: 0.000e+00 0.00000 0.000e+00 0.000e+00 MPI Reductions: 0.000e+00 0.00000 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: 8.1424e+00 100.0% 4.8248e+09 100.0% 0.000e+00 0.0% 0.000e+00 0.0% 0.000e+00 0.0% ------------------------------------------------------------------------------------------------------------------------ See the 'Profiling' chapter of the users' manual for details on interpreting output. Phase summary info: Count: number of times phase was executed Time and 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 SNESSolve 1 1.0 7.4092e+00 1.0 4.82e+09 1.0 0.0e+00 0.0e+00 0.0e+00 91100 0 0 0 91100 0 0 0 651 SNESFunctionEval 4 1.0 1.4135e-01 1.0 7.22e+07 1.0 0.0e+00 0.0e+00 0.0e+00 2 1 0 0 0 2 1 0 0 0 511 SNESJacobianEval 9 1.0 1.1547e+00 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 14 0 0 0 0 14 0 0 0 0 0 SNESLineSearch 3 1.0 1.9974e-01 1.0 1.53e+08 1.0 0.0e+00 0.0e+00 0.0e+00 2 3 0 0 0 2 3 0 0 0 764 VecDot 3 1.0 6.1061e-03 1.0 9.85e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1612 VecMDot 10 1.0 3.3978e-02 1.0 7.88e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 2 0 0 0 0 2 0 0 0 2318 VecNorm 20 1.0 2.8131e-02 1.0 6.56e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 2333 VecScale 13 1.0 1.1500e-02 1.0 2.13e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1855 VecCopy 9 1.0 2.4062e-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 147 1.0 2.7484e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 3 0 0 0 0 3 0 0 0 0 0 VecAXPY 3 1.0 7.1108e-03 1.0 9.85e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 1385 VecAYPX 26 1.0 3.8248e-02 1.0 2.67e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 697 VecWAXPY 3 1.0 9.7802e-03 1.0 4.92e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 503 VecMAXPY 13 1.0 5.3422e-02 1.0 1.12e+08 1.0 0.0e+00 0.0e+00 0.0e+00 1 2 0 0 0 1 2 0 0 0 2089 VecPointwiseMult 6 1.0 2.0661e-03 1.0 1.54e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 746 VecScatterBegin 15 1.0 2.1605e-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 VecReduceArith 6 1.0 6.9826e-03 1.0 1.97e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 2820 VecReduceComm 3 1.0 6.6757e-06 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 VecNormalize 13 1.0 2.5922e-02 1.0 6.40e+07 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 2469 MatMult 39 1.0 4.9967e-01 1.0 4.32e+08 1.0 0.0e+00 0.0e+00 0.0e+00 6 9 0 0 0 6 9 0 0 0 864 MatMultAdd 26 1.0 1.8805e-01 1.0 1.20e+08 1.0 0.0e+00 0.0e+00 0.0e+00 2 2 0 0 0 2 2 0 0 0 638 MatMultTranspose 34 1.0 2.1606e-01 1.0 1.57e+08 1.0 0.0e+00 0.0e+00 0.0e+00 3 3 0 0 0 3 3 0 0 0 726 MatSolve 13 1.0 1.0377e-01 1.0 1.37e+08 1.0 0.0e+00 0.0e+00 0.0e+00 1 3 0 0 0 1 3 0 0 0 1325 MatSOR 52 1.0 2.6705e+00 1.0 1.47e+09 1.0 0.0e+00 0.0e+00 0.0e+00 33 31 0 0 0 33 31 0 0 0 551 MatLUFactorSym 1 1.0 1.2370e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 2 0 0 0 0 2 0 0 0 0 0 MatLUFactorNum 3 1.0 1.3737e+00 1.0 2.08e+09 1.0 0.0e+00 0.0e+00 0.0e+00 17 43 0 0 0 17 43 0 0 0 1517 MatResidual 26 1.0 3.1307e-01 1.0 2.67e+08 1.0 0.0e+00 0.0e+00 0.0e+00 4 6 0 0 0 4 6 0 0 0 851 MatAssemblyBegin 14 1.0 9.0599e-06 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatAssemblyEnd 14 1.0 1.6214e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 2 0 0 0 0 2 0 0 0 0 0 MatGetRowIJ 1 1.0 3.4420e-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 MatGetOrdering 1 1.0 4.8634e-02 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 1.0 2.6417e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 KSPGMRESOrthog 10 1.0 7.2637e-02 1.0 1.58e+08 1.0 0.0e+00 0.0e+00 0.0e+00 1 3 0 0 0 1 3 0 0 0 2169 KSPSetUp 12 1.0 5.6082e-02 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 KSPSolve 3 1.0 6.2692e+00 1.0 4.65e+09 1.0 0.0e+00 0.0e+00 0.0e+00 77 96 0 0 0 77 96 0 0 0 742 PCSetUp 3 1.0 2.3908e+00 1.0 2.12e+09 1.0 0.0e+00 0.0e+00 0.0e+00 29 44 0 0 0 29 44 0 0 0 888 PCApply 13 1.0 3.4706e+00 1.0 2.12e+09 1.0 0.0e+00 0.0e+00 0.0e+00 43 44 0 0 0 43 44 0 0 0 610 ------------------------------------------------------------------------------------------------------------------------ Memory usage is given in bytes: Object Type Creations Destructions Memory Descendants' Mem. Reports information only for process 0. --- Event Stage 0: Main Stage SNES 1 1 1332 0 SNESLineSearch 1 1 864 0 DMSNES 4 4 2816 0 Vector 65 65 469542736 0 Vector Scatter 8 8 5248 0 Matrix 8 8 365201612 0 Distributed Mesh 7 7 34336 0 Star Forest Bipartite Graph 14 14 11872 0 Discrete System 7 7 5936 0 Index Set 19 19 20133824 0 IS L to G Mapping 6 6 17242808 0 Krylov Solver 4 4 22136 0 DMKSP interface 3 3 1944 0 Preconditioner 4 4 3992 0 Viewer 1 0 0 0 ======================================================================================================================== Average time to get PetscTime(): 0 #PETSc Option Table entries: -da_grid_x 21 -da_grid_y 21 -da_refine 6 -ksp_monitor -ksp_rtol 1e-9 -log_summary -mg_levels_ksp_type richardson -pc_mg_levels 3 -pc_type mg -snes_monitor -snes_view #End of PETSc Option Table entries Compiled without FORTRAN kernels Compiled with full precision matrices (default) sizeof(short) 2 sizeof(int) 4 sizeof(long) 8 sizeof(void*) 8 sizeof(PetscScalar) 8 sizeof(PetscInt) 4 Configure options: --prefix=/csc/softs/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real --with-debugging=0 --with-x=0 --with-cc=mpicc --with-fc=mpif90 --with-cxx=mpicxx --with-fortran --known-mpi-shared-libraries=1 --with-scalar-type=real --with-precision=double --CFLAGS="-g -O3 -mavx -mkl" --CXXFLAGS="-g -O3 -mavx -mkl" --FFLAGS="-g -O3 -mavx -mkl" ----------------------------------------- Libraries compiled on Mon Sep 28 20:22:47 2015 on helios85 Machine characteristics: Linux-2.6.32-573.1.1.el6.Bull.80.x86_64-x86_64-with-redhat-6.4-Santiago Using PETSc directory: /csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0 Using PETSc arch: arch-linux2-c-opt ----------------------------------------- Using C compiler: mpicc -g -O3 -mavx -mkl -fPIC ${COPTFLAGS} ${CFLAGS} Using Fortran compiler: mpif90 -g -O3 -mavx -mkl -fPIC ${FOPTFLAGS} ${FFLAGS} ----------------------------------------- Using include paths: -I/csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0/arch-linux2-c-opt/include -I/csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0/include -I/csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0/include -I/csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0/arch-linux2-c-opt/include -I/opt/mpi/bullxmpi/1.2.8.2/include ----------------------------------------- Using C linker: mpicc Using Fortran linker: mpif90 Using libraries: -Wl,-rpath,/csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0/arch-linux2-c-opt/lib -L/csc/releases/buildlog/anl/petsc-3.6.0/intel-15.0.0.090/bullxmpi-1.2.8.2/real/petsc-3.6.0/arch-linux2-c-opt/lib -lpetsc -lhwloc -lxml2 -lssl -lcrypto -Wl,-rpath,/opt/mpi/bullxmpi/1.2.8.2/lib -L/opt/mpi/bullxmpi/1.2.8.2/lib -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/usr/lib/gcc/x86_64-redhat-linux/4.4.7 -L/usr/lib/gcc/x86_64-redhat-linux/4.4.7 -lmpi_f90 -lmpi_f77 -lm -lifport -lifcore -lm -lmpi_cxx -ldl -Wl,-rpath,/opt/mpi/bullxmpi/1.2.8.2/lib -L/opt/mpi/bullxmpi/1.2.8.2/lib -lmpi -lnuma -lrt -lnsl -lutil -Wl,-rpath,/opt/mpi/bullxmpi/1.2.8.2/lib -L/opt/mpi/bullxmpi/1.2.8.2/lib -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/usr/lib/gcc/x86_64-redhat-linux/4.4.7 -L/usr/lib/gcc/x86_64-redhat-linux/4.4.7 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -limf -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -lsvml -lirng -lipgo -ldecimal -lcilkrts -lstdc++ -lgcc_s -lirc -lpthread -lirc_s -Wl,-rpath,/opt/mpi/bullxmpi/1.2.8.2/lib -L/opt/mpi/bullxmpi/1.2.8.2/lib -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/usr/lib/gcc/x86_64-redhat-linux/4.4.7 -L/usr/lib/gcc/x86_64-redhat-linux/4.4.7 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/compiler/lib/intel64 -Wl,-rpath,/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -L/opt/intel/composer_xe_2015.0.090/mkl/lib/intel64 -ldl -----------------------------------------