HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=635904 Machine Summary::Threads per processes=12 Global Problem Dimensions= Global Problem Dimensions::Global nx=15360 Global Problem Dimensions::Global ny=22080 Global Problem Dimensions::Global nz=7680 Processor Dimensions= Processor Dimensions::npx=96 Processor Dimensions::npy=138 Processor Dimensions::npz=48 Local Domain Dimensions= Local Domain Dimensions::nx=160 Local Domain Dimensions::ny=160 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=47 Local Domain Dimensions::nz=160 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.55792 Linear System Information= Linear System Information::Number of Equations=2604662784000 Linear System Information::Number of Nonzero Terms=70314615325432 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=325582848000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=8787917070712 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=40697856000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=1098137223352 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=5087232000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=137179075672 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)=2.89823e+06 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=1.03566e+06 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1112.71 Memory Use Information::Memory used for linear system and CG (Gbytes)=1.63912e+06 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=195873 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=24509.5 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=3070.26 ########## 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=3.13006e-17 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=2.86177e-16 ########## 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=52 Iteration Count Information::Total number of reference iterations=41750 Iteration Count Information::Total number of optimized iterations=43420 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00513392 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.6565 Benchmark Time Summary::DDOT=183.542 Benchmark Time Summary::WAXPBY=53.4006 Benchmark Time Summary::SpMV=334.871 Benchmark Time Summary::MG=1873.81 Benchmark Time Summary::Total=2448.14 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=6.82917e+17 Floating Point Operations Summary::Raw WAXPBY=6.82917e+17 Floating Point Operations Summary::Raw SpMV=6.22355e+18 Floating Point Operations Summary::Raw MG=3.4847e+19 Floating Point Operations Summary::Total=4.24363e+19 Floating Point Operations Summary::Total with convergence overhead=4.08042e+19 GB/s Summary= GB/s Summary::Raw Read B/W=1.06763e+08 GB/s Summary::Raw Write B/W=2.46737e+07 GB/s Summary::Raw Total B/W=1.31436e+08 GB/s Summary::Total with convergence and optimization phase overhead=1.21355e+08 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=3.72077e+06 GFLOP/s Summary::Raw WAXPBY=1.27886e+07 GFLOP/s Summary::Raw SpMV=1.85849e+07 GFLOP/s Summary::Raw MG=1.85969e+07 GFLOP/s Summary::Raw Total=1.73341e+07 GFLOP/s Summary::Total with convergence overhead=1.66674e+07 GFLOP/s Summary::Total with convergence and optimization phase overhead=1.60045e+07 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.6565 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.383925 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=36.1739 DDOT Timing Variations::Max DDOT MPI_Allreduce time=206.35 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=154.052 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=1.60045e+07 Final Summary::HPCG 2.4 rating for historical reasons is=1.63024e+07 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org