HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=28288 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=1792 Global Problem Dimensions::Global ny=5616 Global Problem Dimensions::Global nz=12784 Processor Dimensions= Processor Dimensions::npx=32 Processor Dimensions::npy=26 Processor Dimensions::npz=34 Local Domain Dimensions= Local Domain Dimensions::nx=56 Local Domain Dimensions::ny=216 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=33 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=6.51365 Linear System Information= Linear System Information::Number of Equations=128656539648 Linear System Information::Number of Nonzero Terms=3471840993400 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=16082067456 Multigrid Information::Coarse Grids::Number of Nonzero Terms=433744487608 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=2010258432 Multigrid Information::Coarse Grids::Number of Nonzero Terms=54159174520 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=251282304 Multigrid Information::Coarse Grids::Number of Nonzero Terms=6755186560 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)=143763 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=51744.1 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1117.42 Memory Use Information::Memory used for linear system and CG (Gbytes)=80977 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=9678.41 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=1211.47 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=151.867 ########## 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=1.37479e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=0 ########## 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=19150 Iteration Count Information::Total number of optimized iterations=19533 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00501547 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=2.68058 Benchmark Time Summary::DDOT=87.6604 Benchmark Time Summary::WAXPBY=35.4028 Benchmark Time Summary::SpMV=425.749 Benchmark Time Summary::MG=1453.33 Benchmark Time Summary::Total=2003.15 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.51768e+16 Floating Point Operations Summary::Raw WAXPBY=1.51768e+16 Floating Point Operations Summary::Raw SpMV=1.3829e+17 Floating Point Operations Summary::Raw MG=7.73985e+17 Floating Point Operations Summary::Total=9.42629e+17 Floating Point Operations Summary::Total with convergence overhead=9.24146e+17 GB/s Summary= GB/s Summary::Raw Read B/W=2.89833e+06 GB/s Summary::Raw Write B/W=669797 GB/s Summary::Raw Total B/W=3.56813e+06 GB/s Summary::Total with convergence and optimization phase overhead=2.97516e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=173132 GFLOP/s Summary::Raw WAXPBY=428690 GFLOP/s Summary::Raw SpMV=324817 GFLOP/s Summary::Raw MG=532559 GFLOP/s Summary::Raw Total=470572 GFLOP/s Summary::Total with convergence overhead=461345 GFLOP/s Summary::Total with convergence and optimization phase overhead=392370 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=2.68058 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.265266 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=28.618 DDOT Timing Variations::Max DDOT MPI_Allreduce time=265.131 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=103.75 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=392370 Final Summary::HPCG 2.4 rating for historical reasons is=438853 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org