HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=98304 Machine Summary::Threads per processes=4 Global Problem Dimensions= Global Problem Dimensions::Global nx=4608 Global Problem Dimensions::Global ny=9216 Global Problem Dimensions::Global nz=6912 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=64 Processor Dimensions::npz=48 Local Domain Dimensions= Local Domain Dimensions::nx=144 Local Domain Dimensions::ny=144 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=47 Local Domain Dimensions::nz=144 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.836499 Linear System Information= Linear System Information::Number of Equations=293534171136 Linear System Information::Number of Nonzero Terms=7922938530808 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=36691771392 Multigrid Information::Coarse Grids::Number of Nonzero Terms=990056867320 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=4586471424 Multigrid Information::Coarse Grids::Number of Nonzero Terms=123679519480 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=573308928 Multigrid Information::Coarse Grids::Number of Nonzero Terms=15440554360 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)=423578 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=213661 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1443.03 Memory Use Information::Memory used for linear system and CG (Gbytes)=184732 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=22076.6 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=2762.76 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=346.174 ########## 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=2.64128e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=5.63473e-15 ########## 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=3850 Iteration Count Information::Total number of optimized iterations=3850 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00512868 Reproducibility Information::Scaled residual variance=2.23096e-34 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.786232 Benchmark Time Summary::DDOT=155.565 Benchmark Time Summary::WAXPBY=72.9813 Benchmark Time Summary::SpMV=416.8 Benchmark Time Summary::MG=1394.69 Benchmark Time Summary::Total=2040.54 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=6.82584e+15 Floating Point Operations Summary::Raw WAXPBY=6.82584e+15 Floating Point Operations Summary::Raw SpMV=6.22268e+16 Floating Point Operations Summary::Raw MG=3.4815e+17 Floating Point Operations Summary::Total=4.24028e+17 Floating Point Operations Summary::Total with convergence overhead=4.24028e+17 GB/s Summary= GB/s Summary::Raw Read B/W=1.27988e+06 GB/s Summary::Raw Write B/W=295762 GB/s Summary::Raw Total B/W=1.57564e+06 GB/s Summary::Total with convergence and optimization phase overhead=1.56606e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=43877.7 GFLOP/s Summary::Raw WAXPBY=93528.6 GFLOP/s Summary::Raw SpMV=149296 GFLOP/s Summary::Raw MG=249625 GFLOP/s Summary::Raw Total=207802 GFLOP/s Summary::Total with convergence overhead=207802 GFLOP/s Summary::Total with convergence and optimization phase overhead=206537 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.786232 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=1.06437 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=111.664 DDOT Timing Variations::Max DDOT MPI_Allreduce time=217.014 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=159.749 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=206537 Final Summary::HPCG 2.4 rating for historical reasons is=207187 Final Summary::Reference version of ComputeDotProduct used=Performance results are most likely suboptimal Final Summary::Reference version of ComputeWAXPBY used=Performance results are most likely suboptimal Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org