HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=192 Machine Summary::Threads per processes=12 Global Problem Dimensions= Global Problem Dimensions::Global nx=2048 Global Problem Dimensions::Global ny=3200 Global Problem Dimensions::Global nz=2304 Processor Dimensions= Processor Dimensions::npx=4 Processor Dimensions::npy=8 Processor Dimensions::npz=6 Local Domain Dimensions= Local Domain Dimensions::nx=512 Local Domain Dimensions::ny=400 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=5 Local Domain Dimensions::nz=384 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.440651 Linear System Information= Linear System Information::Number of Equations=15099494400 Linear System Information::Number of Nonzero Terms=407350829560 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=1887436800 Multigrid Information::Coarse Grids::Number of Nonzero Terms=50876936440 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=235929600 Multigrid Information::Coarse Grids::Number of Nonzero Terms=6349146232 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=29491200 Multigrid Information::Coarse Grids::Number of Nonzero Terms=791029816 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)=10793.7 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.84 Memory Use Information::Memory used for linear system and CG (Gbytes)=9499.29 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=1134.78 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=141.902 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=17.7515 ########## 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=0 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=54 Iteration Count Information::Total number of reference iterations=23900 Iteration Count Information::Total number of optimized iterations=25812 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00491279 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.552952 Benchmark Time Summary::DDOT=79.2359 Benchmark Time Summary::WAXPBY=109.46 Benchmark Time Summary::SpMV=414.57 Benchmark Time Summary::MG=1377.15 Benchmark Time Summary::Total=1980.98 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=2.35292e+15 Floating Point Operations Summary::Raw WAXPBY=2.35292e+15 Floating Point Operations Summary::Raw SpMV=2.14185e+16 Floating Point Operations Summary::Raw MG=1.19998e+17 Floating Point Operations Summary::Total=1.46123e+17 Floating Point Operations Summary::Total with convergence overhead=1.35299e+17 GB/s Summary= GB/s Summary::Raw Read B/W=454321 GB/s Summary::Raw Write B/W=105007 GB/s Summary::Raw Total B/W=559328 GB/s Summary::Total with convergence and optimization phase overhead=505770 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=29695.2 GFLOP/s Summary::Raw WAXPBY=21495.8 GFLOP/s Summary::Raw SpMV=51664.3 GFLOP/s Summary::Raw MG=87135.4 GFLOP/s Summary::Raw Total=73763 GFLOP/s Summary::Total with convergence overhead=68299 GFLOP/s Summary::Total with convergence and optimization phase overhead=66699.9 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.552952 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0274368 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=7.47862 DDOT Timing Variations::Max DDOT MPI_Allreduce time=31.6737 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=17.7303 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=66699.9 Final Summary::HPCG 2.4 rating for historical reasons is=67399.8 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org