HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=36864 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=1792 Global Problem Dimensions::Global ny=6912 Global Problem Dimensions::Global nz=13536 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=32 Processor Dimensions::npz=36 Local Domain Dimensions= Local Domain Dimensions::nx=56 Local Domain Dimensions::ny=216 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=35 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=6.94243 Linear System Information= Linear System Information::Number of Equations=167661010944 Linear System Information::Number of Nonzero Terms=4524503896696 Multigrid Information= Multigrid Information::Number of coarse grid levels=3 Multigrid Information::Coarse Grids= Multigrid Information::Coarse Grids::Grid Level=1 Multigrid Information::Coarse Grids::Number of Equations=20957626368 Multigrid Information::Coarse Grids::Number of Nonzero Terms=565270128952 Multigrid Information::Coarse Grids::Number of Presmoother Steps=1 Multigrid Information::Coarse Grids::Number of Postsmoother Steps=1 Multigrid Information::Coarse Grids::Grid Level=2 Multigrid Information::Coarse Grids::Number of Equations=2619703296 Multigrid Information::Coarse Grids::Number of Nonzero Terms=70585576600 Multigrid Information::Coarse Grids::Number of Presmoother Steps=1 Multigrid Information::Coarse Grids::Number of Postsmoother Steps=1 Multigrid Information::Coarse Grids::Grid Level=3 Multigrid Information::Coarse Grids::Number of Equations=327462912 Multigrid Information::Coarse Grids::Number of Nonzero Terms=8804912200 Multigrid Information::Coarse Grids::Number of Presmoother Steps=1 Multigrid Information::Coarse Grids::Number of Postsmoother Steps=1 ########## Memory Use Summary ##########= Memory Use Information= Memory Use Information::Total memory used for data (Gbytes)=187347 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=67431.2 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1117.42 Memory Use Information::Memory used for linear system and CG (Gbytes)=105527 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=12612.6 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=1578.75 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=197.908 ########## V&V Testing Summary ##########= Spectral Convergence Tests= Spectral Convergence Tests::Result=PASSED Spectral Convergence Tests::Unpreconditioned= Spectral Convergence Tests::Unpreconditioned::Maximum iteration count=11 Spectral Convergence Tests::Unpreconditioned::Expected iteration count=12 Spectral Convergence Tests::Preconditioned= Spectral Convergence Tests::Preconditioned::Maximum iteration count=2 Spectral Convergence Tests::Preconditioned::Expected iteration count=2 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon= Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Result=PASSED Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for SpMV=1.34923e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=0 ########## Iterations Summary ##########= Iteration Count Information= Iteration Count Information::Result=PASSED Iteration Count Information::Reference CG iterations per set=50 Iteration Count Information::Optimized CG iterations per set=50 Iteration Count Information::Total number of reference iterations=19900 Iteration Count Information::Total number of optimized iterations=19900 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00504257 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=2.55509 Benchmark Time Summary::DDOT=91.3061 Benchmark Time Summary::WAXPBY=37.7825 Benchmark Time Summary::SpMV=430.484 Benchmark Time Summary::MG=1481.02 Benchmark Time Summary::Total=2041.73 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=2.01522e+16 Floating Point Operations Summary::Raw WAXPBY=2.01522e+16 Floating Point Operations Summary::Raw SpMV=1.83677e+17 Floating Point Operations Summary::Raw MG=1.02761e+18 Floating Point Operations Summary::Total=1.25159e+18 Floating Point Operations Summary::Total with convergence overhead=1.25159e+18 GB/s Summary= GB/s Summary::Raw Read B/W=3.77561e+06 GB/s Summary::Raw Write B/W=872490 GB/s Summary::Raw Total B/W=4.6481e+06 GB/s Summary::Total with convergence and optimization phase overhead=3.92199e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=220710 GFLOP/s Summary::Raw WAXPBY=533374 GFLOP/s Summary::Raw SpMV=426675 GFLOP/s Summary::Raw MG=693853 GFLOP/s Summary::Raw Total=613006 GFLOP/s Summary::Total with convergence overhead=613006 GFLOP/s Summary::Total with convergence and optimization phase overhead=517244 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=2.55509 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.252254 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=26.215 DDOT Timing Variations::Max DDOT MPI_Allreduce time=271.178 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=104.683 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=517244 Final Summary::HPCG 2.4 rating for historical reasons is=583922 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org