HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=54208 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=2688 Global Problem Dimensions::Global ny=6336 Global Problem Dimensions::Global nz=16544 Processor Dimensions= Processor Dimensions::npx=28 Processor Dimensions::npy=44 Processor Dimensions::npz=44 Local Domain Dimensions= Local Domain Dimensions::nx=96 Local Domain Dimensions::ny=144 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=43 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=6.72226 Linear System Information= Linear System Information::Number of Equations=281763643392 Linear System Information::Number of Nonzero Terms=7604624842360 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=35220455424 Multigrid Information::Coarse Grids::Number of Nonzero Terms=950203990840 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=4402556928 Multigrid Information::Coarse Grids::Number of Nonzero Terms=118681999000 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=550319616 Multigrid Information::Coarse Grids::Number of Nonzero Terms=14811889288 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)=314816 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=113322 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1117.31 Memory Use Information::Memory used for linear system and CG (Gbytes)=177320 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=21190.3 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=2651.71 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=332.22 ########## 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=6.68749e-16 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=16850 Iteration Count Information::Total number of optimized iterations=16850 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00510186 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=2.61158 Benchmark Time Summary::DDOT=90.4707 Benchmark Time Summary::WAXPBY=35.9776 Benchmark Time Summary::SpMV=441.838 Benchmark Time Summary::MG=1477.19 Benchmark Time Summary::Total=2046.42 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=2.86762e+16 Floating Point Operations Summary::Raw WAXPBY=2.86762e+16 Floating Point Operations Summary::Raw SpMV=2.61401e+17 Floating Point Operations Summary::Raw MG=1.46248e+18 Floating Point Operations Summary::Total=1.78124e+18 Floating Point Operations Summary::Total with convergence overhead=1.78124e+18 GB/s Summary= GB/s Summary::Raw Read B/W=5.36103e+06 GB/s Summary::Raw Write B/W=1.23886e+06 GB/s Summary::Raw Total B/W=6.59989e+06 GB/s Summary::Total with convergence and optimization phase overhead=5.72059e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=316967 GFLOP/s Summary::Raw WAXPBY=797058 GFLOP/s Summary::Raw SpMV=591622 GFLOP/s Summary::Raw MG=990048 GFLOP/s Summary::Raw Total=870417 GFLOP/s Summary::Total with convergence overhead=870417 GFLOP/s Summary::Total with convergence and optimization phase overhead=754452 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=2.61158 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.223648 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=20.4229 DDOT Timing Variations::Max DDOT MPI_Allreduce time=387.916 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=194.282 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=754452 Final Summary::HPCG 2.4 rating for historical reasons is=834526 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org