HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=64 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=2080 Global Problem Dimensions::Global ny=2080 Global Problem Dimensions::Global nz=2080 Processor Dimensions= Processor Dimensions::npx=4 Processor Dimensions::npy=4 Processor Dimensions::npz=4 Local Domain Dimensions= Local Domain Dimensions::nx=520 Local Domain Dimensions::ny=520 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=3 Local Domain Dimensions::nz=520 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.452165 Linear System Information= Linear System Information::Number of Equations=8998912000 Linear System Information::Number of Nonzero Terms=242737073272 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=1124864000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=30312959032 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=140608000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=3781833112 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=17576000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=470910952 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)=6432.54 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.813 Memory Use Information::Memory used for linear system and CG (Gbytes)=5661.15 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=676.254 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=84.5583 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=10.5765 ########## V&V Testing Summary ##########= Spectral Convergence Tests= Spectral Convergence Tests::Result=PASSED Spectral Convergence Tests::Unpreconditioned= Spectral Convergence Tests::Unpreconditioned::Maximum iteration count=10 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=5.85404e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=5.26485e-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=23150 Iteration Count Information::Total number of optimized iterations=25465 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00486214 Reproducibility Information::Scaled residual variance=4.42321e-24 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.363197 Benchmark Time Summary::DDOT=38.4109 Benchmark Time Summary::WAXPBY=73.3579 Benchmark Time Summary::SpMV=352.298 Benchmark Time Summary::MG=1317.68 Benchmark Time Summary::Total=1833.71 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.38328e+15 Floating Point Operations Summary::Raw WAXPBY=1.38328e+15 Floating Point Operations Summary::Raw SpMV=1.25874e+16 Floating Point Operations Summary::Raw MG=7.05432e+16 Floating Point Operations Summary::Total=8.58971e+16 Floating Point Operations Summary::Total with convergence overhead=7.80883e+16 GB/s Summary= GB/s Summary::Raw Read B/W=288519 GB/s Summary::Raw Write B/W=66688.2 GB/s Summary::Raw Total B/W=355207 GB/s Summary::Total with convergence and optimization phase overhead=316402 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=36012.6 GFLOP/s Summary::Raw WAXPBY=18856.5 GFLOP/s Summary::Raw SpMV=35729.4 GFLOP/s Summary::Raw MG=53535.9 GFLOP/s Summary::Raw Total=46843.4 GFLOP/s Summary::Total with convergence overhead=42584.9 GFLOP/s Summary::Total with convergence and optimization phase overhead=41725.9 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.363197 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0313464 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=6.00037 DDOT Timing Variations::Max DDOT MPI_Allreduce time=9.94376 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=8.73607 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=41725.9 Final Summary::HPCG 2.4 rating for historical reasons is=42197.9 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org