HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=18432 Machine Summary::Threads per processes=12 Global Problem Dimensions= Global Problem Dimensions::Global nx=5120 Global Problem Dimensions::Global ny=3840 Global Problem Dimensions::Global nz=3840 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=24 Processor Dimensions::npz=24 Local Domain Dimensions= Local Domain Dimensions::nx=160 Local Domain Dimensions::ny=160 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=23 Local Domain Dimensions::nz=160 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.692706 Linear System Information= Linear System Information::Number of Equations=75497472000 Linear System Information::Number of Nonzero Terms=2037458687992 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=9437184000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=254560742392 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=1179648000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=31789708792 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=147456000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=3966124792 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)=84006.7 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=30019.1 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1112.71 Memory Use Information::Memory used for linear system and CG (Gbytes)=47510.7 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=5677.48 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=710.42 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=88.993 ########## 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=1.33056e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=1.06444e-14 ########## 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=52 Iteration Count Information::Total number of reference iterations=40900 Iteration Count Information::Total number of optimized iterations=42536 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00511393 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.659258 Benchmark Time Summary::DDOT=139.215 Benchmark Time Summary::WAXPBY=51.5551 Benchmark Time Summary::SpMV=342.32 Benchmark Time Summary::MG=1864.65 Benchmark Time Summary::Total=2400.18 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.93917e+16 Floating Point Operations Summary::Raw WAXPBY=1.93917e+16 Floating Point Operations Summary::Raw SpMV=1.76664e+17 Floating Point Operations Summary::Raw MG=9.8913e+17 Floating Point Operations Summary::Total=1.20458e+18 Floating Point Operations Summary::Total with convergence overhead=1.15825e+18 GB/s Summary= GB/s Summary::Raw Read B/W=3.09109e+06 GB/s Summary::Raw Write B/W=714377 GB/s Summary::Raw Total B/W=3.80547e+06 GB/s Summary::Total with convergence and optimization phase overhead=3.49793e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=139293 GFLOP/s Summary::Raw WAXPBY=376135 GFLOP/s Summary::Raw SpMV=516078 GFLOP/s Summary::Raw MG=530463 GFLOP/s Summary::Raw Total=501870 GFLOP/s Summary::Total with convergence overhead=482567 GFLOP/s Summary::Total with convergence and optimization phase overhead=461312 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.659258 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.414053 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=13.6877 DDOT Timing Variations::Max DDOT MPI_Allreduce time=150.267 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=53.1103 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=461312 Final Summary::HPCG 2.4 rating for historical reasons is=471963 Final Summary::Please upload results from the 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