HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=28288 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=3072 Global Problem Dimensions::Global ny=3744 Global Problem Dimensions::Global nz=12784 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=26 Processor Dimensions::npz=34 Local Domain Dimensions= Local Domain Dimensions::nx=96 Local Domain Dimensions::ny=144 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=33 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=5.61634 Linear System Information= Linear System Information::Number of Equations=147036045312 Linear System Information::Number of Nonzero Terms=3968197987000 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=18379505664 Multigrid Information::Coarse Grids::Number of Nonzero Terms=495802902616 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=2297438208 Multigrid Information::Coarse Grids::Number of Nonzero Terms=61919923432 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=287179776 Multigrid Information::Coarse Grids::Number of Nonzero Terms=7726141600 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)=164284 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=59136.1 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1117.31 Memory Use Information::Memory used for linear system and CG (Gbytes)=92533.1 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=11058 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=1383.77 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=173.366 ########## 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=1.40329e-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=16900 Iteration Count Information::Total number of optimized iterations=16900 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00510361 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=3.02118 Benchmark Time Summary::DDOT=74.6547 Benchmark Time Summary::WAXPBY=34.5302 Benchmark Time Summary::SpMV=452.018 Benchmark Time Summary::MG=1481.76 Benchmark Time Summary::Total=2043.9 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.50089e+16 Floating Point Operations Summary::Raw WAXPBY=1.50089e+16 Floating Point Operations Summary::Raw SpMV=1.36808e+17 Floating Point Operations Summary::Raw MG=7.65403e+17 Floating Point Operations Summary::Total=9.32228e+17 Floating Point Operations Summary::Total with convergence overhead=9.32228e+17 GB/s Summary= GB/s Summary::Raw Read B/W=2.80922e+06 GB/s Summary::Raw Write B/W=649170 GB/s Summary::Raw Total B/W=3.45839e+06 GB/s Summary::Total with convergence and optimization phase overhead=3.02614e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=201044 GFLOP/s Summary::Raw WAXPBY=434659 GFLOP/s Summary::Raw SpMV=302659 GFLOP/s Summary::Raw MG=516549 GFLOP/s Summary::Raw Total=456104 GFLOP/s Summary::Total with convergence overhead=456104 GFLOP/s Summary::Total with convergence and optimization phase overhead=399097 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=3.02118 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.258972 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=32.8448 DDOT Timing Variations::Max DDOT MPI_Allreduce time=373.221 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=125.817 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=399097 Final Summary::HPCG 2.4 rating for historical reasons is=434400 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org