HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=48640 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=4608 Global Problem Dimensions::Global ny=5760 Global Problem Dimensions::Global nz=5472 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=40 Processor Dimensions::npz=38 Local Domain Dimensions= Local Domain Dimensions::nx=144 Local Domain Dimensions::ny=144 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=37 Local Domain Dimensions::nz=144 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=2.30137 Linear System Information= Linear System Information::Number of Equations=145238261760 Linear System Information::Number of Nonzero Terms=3919934293624 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=18154782720 Multigrid Information::Coarse Grids::Number of Nonzero Terms=489804487480 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=2269347840 Multigrid Information::Coarse Grids::Number of Nonzero Terms=61178753944 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=283668480 Multigrid Information::Coarse Grids::Number of Nonzero Terms=7635651400 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)=209583 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=105718 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1443.03 Memory Use Information::Memory used for linear system and CG (Gbytes)=91403.6 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=10923.3 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=1366.99 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=171.284 ########## 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=1.79796e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=1.1507e-14 ########## 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=51 Iteration Count Information::Total number of reference iterations=3650 Iteration Count Information::Total number of optimized iterations=3723 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00487497 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.848885 Benchmark Time Summary::DDOT=123.487 Benchmark Time Summary::WAXPBY=85.8597 Benchmark Time Summary::SpMV=382.49 Benchmark Time Summary::MG=1323.2 Benchmark Time Summary::Total=1915.45 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=3.26554e+15 Floating Point Operations Summary::Raw WAXPBY=3.26554e+15 Floating Point Operations Summary::Raw SpMV=2.97601e+16 Floating Point Operations Summary::Raw MG=1.66566e+17 Floating Point Operations Summary::Total=2.02857e+17 Floating Point Operations Summary::Total with convergence overhead=1.9888e+17 GB/s Summary= GB/s Summary::Raw Read B/W=652290 GB/s Summary::Raw Write B/W=150742 GB/s Summary::Raw Total B/W=803032 GB/s Summary::Total with convergence and optimization phase overhead=777947 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=26444.4 GFLOP/s Summary::Raw WAXPBY=38033.4 GFLOP/s Summary::Raw SpMV=77806.3 GFLOP/s Summary::Raw MG=125881 GFLOP/s Summary::Raw Total=105906 GFLOP/s Summary::Total with convergence overhead=103829 GFLOP/s Summary::Total with convergence and optimization phase overhead=102598 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.848885 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=1.10668 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=29.1983 DDOT Timing Variations::Max DDOT MPI_Allreduce time=102.136 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=61.8309 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=102598 Final Summary::HPCG 2.4 rating for historical reasons is=103495 Final Summary::Reference version of ComputeDotProduct 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