HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=1536 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=4480 Global Problem Dimensions::Global ny=4480 Global Problem Dimensions::Global nz=3360 Processor Dimensions= Processor Dimensions::npx=8 Processor Dimensions::npy=16 Processor Dimensions::npz=12 Local Domain Dimensions= Local Domain Dimensions::nx=560 Local Domain Dimensions::ny=280 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=11 Local Domain Dimensions::nz=280 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.966267 Linear System Information= Linear System Information::Number of Equations=67436544000 Linear System Information::Number of Nonzero Terms=1855431448552 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=8429568000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=231825676945 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=1053696000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=28975074592 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=131712000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=3648164008 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)=48209 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.88 Memory Use Information::Memory used for linear system and CG (Gbytes)=42427.2 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=5068.59 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=633.881 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=79.313 ########## V&V Testing Summary ##########= Spectral Convergence Tests= Spectral Convergence Tests::Result=PASSED Spectral Convergence Tests::Unpreconditioned= Spectral Convergence Tests::Unpreconditioned::Maximum iteration count=9 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=4.16922e-16 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=2.04612e-07 ########## 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=55 Iteration Count Information::Total number of reference iterations=23900 Iteration Count Information::Total number of optimized iterations=26290 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00490334 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.306997 Benchmark Time Summary::DDOT=33.0146 Benchmark Time Summary::WAXPBY=70.9687 Benchmark Time Summary::SpMV=333.723 Benchmark Time Summary::MG=1382.61 Benchmark Time Summary::Total=1913.74 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.07019e+16 Floating Point Operations Summary::Raw WAXPBY=1.07019e+16 Floating Point Operations Summary::Raw SpMV=9.93324e+16 Floating Point Operations Summary::Raw MG=5.56741e+17 Floating Point Operations Summary::Total=6.77477e+17 Floating Point Operations Summary::Total with convergence overhead=6.15888e+17 GB/s Summary= GB/s Summary::Raw Read B/W=2.17933e+06 GB/s Summary::Raw Write B/W=503530 GB/s Summary::Raw Total B/W=2.68286e+06 GB/s Summary::Total with convergence and optimization phase overhead=2.36379e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=324157 GFLOP/s Summary::Raw WAXPBY=150798 GFLOP/s Summary::Raw SpMV=297649 GFLOP/s Summary::Raw MG=402674 GFLOP/s Summary::Raw Total=354007 GFLOP/s Summary::Total with convergence overhead=321824 GFLOP/s Summary::Total with convergence and optimization phase overhead=311905 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.306997 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0429636 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=3.50573 DDOT Timing Variations::Max DDOT MPI_Allreduce time=7.55328 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=6.95202 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=311905 Final Summary::HPCG 2.4 rating for historical reasons is=319376 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org