HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=64512 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=1792 Global Problem Dimensions::Global ny=10368 Global Problem Dimensions::Global nz=15792 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=48 Processor Dimensions::npz=42 Local Domain Dimensions= Local Domain Dimensions::nx=56 Local Domain Dimensions::ny=216 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=41 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=2.51866 Linear System Information= Linear System Information::Number of Equations=293406769152 Linear System Information::Number of Nonzero Terms=7918192119352 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=36675846144 Multigrid Information::Coarse Grids::Number of Nonzero Terms=989300267800 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=4584480768 Multigrid Information::Coarse Grids::Number of Nonzero Terms=123544128136 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=573060096 Multigrid Information::Coarse Grids::Number of Nonzero Terms=15413430400 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)=330539 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=120686 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1126.56 Memory Use Information::Memory used for linear system and CG (Gbytes)=184672 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=22072 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=2762.82 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=346.338 ########## 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=5.28679e-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=19650 Iteration Count Information::Total number of optimized iterations=19650 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00504344 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=1.23887 Benchmark Time Summary::DDOT=70.6644 Benchmark Time Summary::WAXPBY=38.3508 Benchmark Time Summary::SpMV=350.427 Benchmark Time Summary::MG=1377.8 Benchmark Time Summary::Total=1837.98 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=3.48233e+16 Floating Point Operations Summary::Raw WAXPBY=3.48233e+16 Floating Point Operations Summary::Raw SpMV=3.17409e+17 Floating Point Operations Summary::Raw MG=1.77581e+18 Floating Point Operations Summary::Total=2.16287e+18 Floating Point Operations Summary::Total with convergence overhead=2.16287e+18 GB/s Summary= GB/s Summary::Raw Read B/W=7.24788e+06 GB/s Summary::Raw Write B/W=1.67488e+06 GB/s Summary::Raw Total B/W=8.92276e+06 GB/s Summary::Total with convergence and optimization phase overhead=8.25918e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=492798 GFLOP/s Summary::Raw WAXPBY=908020 GFLOP/s Summary::Raw SpMV=905777 GFLOP/s Summary::Raw MG=1.28887e+06 GFLOP/s Summary::Raw Total=1.17676e+06 GFLOP/s Summary::Total with convergence overhead=1.17676e+06 GFLOP/s Summary::Total with convergence and optimization phase overhead=1.08925e+06 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=1.23887 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.11722 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=19.2236 DDOT Timing Variations::Max DDOT MPI_Allreduce time=102.045 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=39.2063 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=1.08925e+06 Final Summary::HPCG 2.4 rating for historical reasons is=1.14639e+06 Final Summary::Please 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