HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=2816 Machine Summary::Threads per processes=72 Global Problem Dimensions= Global Problem Dimensions::Global nx=2816 Global Problem Dimensions::Global ny=4096 Global Problem Dimensions::Global nz=4096 Processor Dimensions= Processor Dimensions::npx=11 Processor Dimensions::npy=16 Processor Dimensions::npz=16 Local Domain Dimensions= Local Domain Dimensions::nx=256 Local Domain Dimensions::ny=256 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.361725 Linear System Information= Linear System Information::Number of Equations=47244640256 Linear System Information::Number of Nonzero Terms=1274888193016 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=5905580032 Multigrid Information::Coarse Grids::Number of Nonzero Terms=159271420408 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=738197504 Multigrid Information::Coarse Grids::Number of Nonzero Terms=19886539000 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=92274688 Multigrid Information::Coarse Grids::Number of Nonzero Terms=2480226424 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)=33777.1 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)=29725.8 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=3551.49 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=444.219 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=55.5999 ########## 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=8.49618e-16 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=2.71878e-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=163300 Iteration Count Information::Total number of optimized iterations=179630 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00488506 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.758929 Benchmark Time Summary::DDOT=246.668 Benchmark Time Summary::WAXPBY=62.6892 Benchmark Time Summary::SpMV=299.068 Benchmark Time Summary::MG=1424.71 Benchmark Time Summary::Total=2033.3 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=5.12279e+16 Floating Point Operations Summary::Raw WAXPBY=5.12279e+16 Floating Point Operations Summary::Raw SpMV=4.66344e+17 Floating Point Operations Summary::Raw MG=2.61369e+18 Floating Point Operations Summary::Total=3.18248e+18 Floating Point Operations Summary::Total with convergence overhead=2.89317e+18 GB/s Summary= GB/s Summary::Raw Read B/W=9.64021e+06 GB/s Summary::Raw Write B/W=2.22823e+06 GB/s Summary::Raw Total B/W=1.18684e+07 GB/s Summary::Total with convergence and optimization phase overhead=9.14359e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=207680 GFLOP/s Summary::Raw WAXPBY=817173 GFLOP/s Summary::Raw SpMV=1.55932e+06 GFLOP/s Summary::Raw MG=1.83454e+06 GFLOP/s Summary::Raw Total=1.56519e+06 GFLOP/s Summary::Total with convergence overhead=1.4229e+06 GFLOP/s Summary::Total with convergence and optimization phase overhead=1.20584e+06 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.758929 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.229236 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=109.947 DDOT Timing Variations::Max DDOT MPI_Allreduce time=194.275 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=127.673 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=1.20584e+06 Final Summary::HPCG 2.4 rating for historical reasons is=1.26829e+06 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org