HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=884 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=1024 Global Problem Dimensions::Global ny=3328 Global Problem Dimensions::Global nz=4352 Processor Dimensions= Processor Dimensions::npx=4 Processor Dimensions::npy=13 Processor Dimensions::npz=17 Local Domain Dimensions= Local Domain Dimensions::nx=256 Local Domain Dimensions::ny=256 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=16 Local Domain Dimensions::nz=256 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.334668 Linear System Information= Linear System Information::Number of Equations=14831058944 Linear System Information::Number of Nonzero Terms=400036435960 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=1853882368 Multigrid Information::Coarse Grids::Number of Nonzero Terms=49954311160 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=231735296 Multigrid Information::Coarse Grids::Number of Nonzero Terms=6231737848 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=28966912 Multigrid Information::Coarse Grids::Number of Nonzero Terms=775834360 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)=10603.3 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.94 Memory Use Information::Memory used for linear system and CG (Gbytes)=9331.53 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=1114.88 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=139.45 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=17.454 ########## 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=4.31072e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=1.37943e-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=55 Iteration Count Information::Total number of reference iterations=42650 Iteration Count Information::Total number of optimized iterations=46915 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00487701 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.138442 Benchmark Time Summary::DDOT=372.548 Benchmark Time Summary::WAXPBY=69.8682 Benchmark Time Summary::SpMV=390.986 Benchmark Time Summary::MG=1566.37 Benchmark Time Summary::Total=2399.93 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=4.2001e+15 Floating Point Operations Summary::Raw WAXPBY=4.2001e+15 Floating Point Operations Summary::Raw SpMV=3.82179e+16 Floating Point Operations Summary::Raw MG=2.14182e+17 Floating Point Operations Summary::Total=2.608e+17 Floating Point Operations Summary::Total with convergence overhead=2.37091e+17 GB/s Summary= GB/s Summary::Raw Read B/W=669323 GB/s Summary::Raw Write B/W=154707 GB/s Summary::Raw Total B/W=824030 GB/s Summary::Total with convergence and optimization phase overhead=736730 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=11274 GFLOP/s Summary::Raw WAXPBY=60114.6 GFLOP/s Summary::Raw SpMV=97747.5 GFLOP/s Summary::Raw MG=136738 GFLOP/s Summary::Raw Total=108670 GFLOP/s Summary::Total with convergence overhead=98790.9 GFLOP/s Summary::Total with convergence and optimization phase overhead=97157.1 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.138442 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0320807 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=23.6546 DDOT Timing Variations::Max DDOT MPI_Allreduce time=361.936 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=266.511 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=97157.1 Final Summary::HPCG 2.4 rating for historical reasons is=98307.2 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org