HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=219072 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=5120 Global Problem Dimensions::Global ny=6720 Global Problem Dimensions::Global nz=26080 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=42 Processor Dimensions::npz=163 Local Domain Dimensions= Local Domain Dimensions::nx=160 Local Domain Dimensions::ny=160 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=162 Local Domain Dimensions::nz=160 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=1.1726 Linear System Information= Linear System Information::Number of Equations=897318912000 Linear System Information::Number of Nonzero Terms=24221433594232 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=112164864000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=3026907184312 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=14020608000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=378170436952 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=1752576000 Multigrid Information::Coarse Grids::Number of Nonzero Terms=47223085672 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)=1.29532e+06 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=653652 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1443.54 Memory Use Information::Memory used for linear system and CG (Gbytes)=564684 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=67479.2 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=8443.63 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=1057.72 ########## 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=2.14753e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=2.02546e-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=51 Iteration Count Information::Total number of reference iterations=3600 Iteration Count Information::Total number of optimized iterations=3672 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00490031 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.86788 Benchmark Time Summary::DDOT=107.213 Benchmark Time Summary::WAXPBY=97.7116 Benchmark Time Summary::SpMV=365.311 Benchmark Time Summary::MG=1275.32 Benchmark Time Summary::Total=1845.83 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.98989e+16 Floating Point Operations Summary::Raw WAXPBY=1.98989e+16 Floating Point Operations Summary::Raw SpMV=1.8137e+17 Floating Point Operations Summary::Raw MG=1.01514e+18 Floating Point Operations Summary::Total=1.23631e+18 Floating Point Operations Summary::Total with convergence overhead=1.21207e+18 GB/s Summary= GB/s Summary::Raw Read B/W=4.12527e+06 GB/s Summary::Raw Write B/W=953337 GB/s Summary::Raw Total B/W=5.07861e+06 GB/s Summary::Total with convergence and optimization phase overhead=4.93971e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=185603 GFLOP/s Summary::Raw WAXPBY=203650 GFLOP/s Summary::Raw SpMV=496481 GFLOP/s Summary::Raw MG=795988 GFLOP/s Summary::Raw Total=669782 GFLOP/s Summary::Total with convergence overhead=656649 GFLOP/s Summary::Total with convergence and optimization phase overhead=651464 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.86788 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=1.25332 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=50.8744 DDOT Timing Variations::Max DDOT MPI_Allreduce time=131.437 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=101.49 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=651464 Final Summary::HPCG 2.4 rating for historical reasons is=654434 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