HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=71280 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=7200 Global Problem Dimensions::Global ny=7040 Global Problem Dimensions::Global nz=5760 Processor Dimensions= Processor Dimensions::npx=45 Processor Dimensions::npy=44 Processor Dimensions::npz=36 Local Domain Dimensions= Local Domain Dimensions::nx=160 Local Domain Dimensions::ny=160 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=35 Local Domain Dimensions::nz=160 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=34.8379 Linear System Information= Linear System Information::Number of Equations=291962880000 Linear System Information::Number of Nonzero Terms=7880609212792 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=36495360000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=984777643192 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=4561920000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=123022600792 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=570240000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=15359185192 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)=208780 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=715.091 Memory Use Information::Memory used for linear system and CG (Gbytes)=183733 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=21955.9 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=2747.33 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=344.152 ########## 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=1.67263e-14 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=6.60511e-13 ########## 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=750 Iteration Count Information::Total number of optimized iterations=750 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00517927 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=7.1e-08 Benchmark Time Summary::DDOT=91.181 Benchmark Time Summary::WAXPBY=49.2846 Benchmark Time Summary::SpMV=271.816 Benchmark Time Summary::MG=1574.58 Benchmark Time Summary::Total=1987.13 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.32259e+15 Floating Point Operations Summary::Raw WAXPBY=1.32259e+15 Floating Point Operations Summary::Raw SpMV=1.20573e+16 Floating Point Operations Summary::Raw MG=6.74591e+16 Floating Point Operations Summary::Total=8.21617e+16 Floating Point Operations Summary::Total with convergence overhead=8.21617e+16 GB/s Summary= GB/s Summary::Raw Read B/W=254662 GB/s Summary::Raw Write B/W=58848.6 GB/s Summary::Raw Total B/W=313510 GB/s Summary::Total with convergence and optimization phase overhead=305477 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=14505.1 GFLOP/s Summary::Raw WAXPBY=26835.8 GFLOP/s Summary::Raw SpMV=44358.4 GFLOP/s Summary::Raw MG=42842.7 GFLOP/s Summary::Raw Total=41346.9 GFLOP/s Summary::Total with convergence overhead=41346.9 GFLOP/s Summary::Total with convergence and optimization phase overhead=40287.5 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=7.1e-08 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=2.89231e-08 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=46.7304 DDOT Timing Variations::Max DDOT MPI_Allreduce time=105.522 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=72.8659 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=40287.5 Final Summary::HPCG 2.4 rating for historical reasons is=41346.9 Final Summary::Reference version of ComputeDotProduct used=Performance results are most likely suboptimal Final Summary::Reference version of ComputeSPMV used=Performance results are most likely suboptimal Final Summary::Reference version of ComputeMG used=Performance results are most likely suboptimal Final Summary::Reference version of ComputeWAXPBY used=Performance results are most likely suboptimal Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org