HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=264 Machine Summary::Threads per processes=56 Global Problem Dimensions= Global Problem Dimensions::Global nx=3072 Global Problem Dimensions::Global ny=2048 Global Problem Dimensions::Global nz=3168 Processor Dimensions= Processor Dimensions::npx=6 Processor Dimensions::npy=4 Processor Dimensions::npz=11 Local Domain Dimensions= Local Domain Dimensions::nx=512 Local Domain Dimensions::ny=512 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.718736 Linear System Information= Linear System Information::Number of Equations=19931332608 Linear System Information::Number of Nonzero Terms=537740870776 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=2491416576 Multigrid Information::Coarse Grids::Number of Nonzero Terms=67166995000 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=311427072 Multigrid Information::Coarse Grids::Number of Nonzero Terms=8383230232 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=38928384 Multigrid Information::Coarse Grids::Number of Nonzero Terms=1044747400 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)=14247.9 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.847 Memory Use Information::Memory used for linear system and CG (Gbytes)=12539.2 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=1497.93 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=187.317 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=23.4335 ########## 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=3.81906e-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=55 Iteration Count Information::Total number of reference iterations=41200 Iteration Count Information::Total number of optimized iterations=45320 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00484301 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.262427 Benchmark Time Summary::DDOT=191.221 Benchmark Time Summary::WAXPBY=57.2656 Benchmark Time Summary::SpMV=301.856 Benchmark Time Summary::MG=1259.74 Benchmark Time Summary::Total=1810.35 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=5.45257e+15 Floating Point Operations Summary::Raw WAXPBY=5.45257e+15 Floating Point Operations Summary::Raw SpMV=4.9627e+16 Floating Point Operations Summary::Raw MG=2.78133e+17 Floating Point Operations Summary::Total=3.38665e+17 Floating Point Operations Summary::Total with convergence overhead=3.07877e+17 GB/s Summary= GB/s Summary::Raw Read B/W=1.15221e+06 GB/s Summary::Raw Write B/W=266321 GB/s Summary::Raw Total B/W=1.41853e+06 GB/s Summary::Total with convergence and optimization phase overhead=1.23444e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=28514.5 GFLOP/s Summary::Raw WAXPBY=95215.6 GFLOP/s Summary::Raw SpMV=164406 GFLOP/s Summary::Raw MG=220785 GFLOP/s Summary::Raw Total=187072 GFLOP/s Summary::Total with convergence overhead=170065 GFLOP/s Summary::Total with convergence and optimization phase overhead=162795 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.262427 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0163505 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=99.708 DDOT Timing Variations::Max DDOT MPI_Allreduce time=155.491 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=117 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=162795 Final Summary::HPCG 2.4 rating for historical reasons is=168058 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org