HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=157248 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=7168 Global Problem Dimensions::Global ny=6912 Global Problem Dimensions::Global nz=6656 Processor Dimensions= Processor Dimensions::npx=56 Processor Dimensions::npy=54 Processor Dimensions::npz=52 Local Domain Dimensions= Local Domain Dimensions::nx=128 Local Domain Dimensions::ny=128 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=51 Local Domain Dimensions::nz=128 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=15.079 Linear System Information= Linear System Information::Number of Equations=329772957696 Linear System Information::Number of Nonzero Terms=8901291396088 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=41221619712 Multigrid Information::Coarse Grids::Number of Nonzero Terms=1112339179000 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=5152702464 Multigrid Information::Coarse Grids::Number of Nonzero Terms=138961859320 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=644087808 Multigrid Information::Coarse Grids::Number of Nonzero Terms=17350109560 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)=235851 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=715.193 Memory Use Information::Memory used for linear system and CG (Gbytes)=207552 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=24805.6 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=3104.75 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=389.152 ########## 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=4.03136e-14 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=3.92814e-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=1200 Iteration Count Information::Total number of optimized iterations=1200 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00506715 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=2.84e-07 Benchmark Time Summary::DDOT=223.16 Benchmark Time Summary::WAXPBY=48.8269 Benchmark Time Summary::SpMV=259.301 Benchmark Time Summary::MG=1442.39 Benchmark Time Summary::Total=1973.91 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=2.39019e+15 Floating Point Operations Summary::Raw WAXPBY=2.39019e+15 Floating Point Operations Summary::Raw SpMV=2.17904e+16 Floating Point Operations Summary::Raw MG=1.21914e+17 Floating Point Operations Summary::Total=1.48485e+17 Floating Point Operations Summary::Total with convergence overhead=1.48485e+17 GB/s Summary= GB/s Summary::Raw Read B/W=463313 GB/s Summary::Raw Write B/W=107065 GB/s Summary::Raw Total B/W=570378 GB/s Summary::Total with convergence and optimization phase overhead=560109 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=10710.7 GFLOP/s Summary::Raw WAXPBY=48952.5 GFLOP/s Summary::Raw SpMV=84035 GFLOP/s Summary::Raw MG=84522.5 GFLOP/s Summary::Raw Total=75223.7 GFLOP/s Summary::Total with convergence overhead=75223.7 GFLOP/s Summary::Total with convergence and optimization phase overhead=73869.4 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=2.84e-07 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=1.86672e-07 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=102.572 DDOT Timing Variations::Max DDOT MPI_Allreduce time=220.807 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=117.981 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=73869.4 Final Summary::HPCG 2.4 rating for historical reasons is=75223.7 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