HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=4352 Machine Summary::Threads per processes=4 Global Problem Dimensions= Global Problem Dimensions::Global nx=8192 Global Problem Dimensions::Global ny=8192 Global Problem Dimensions::Global nz=4896 Processor Dimensions= Processor Dimensions::npx=16 Processor Dimensions::npy=16 Processor Dimensions::npz=17 Local Domain Dimensions= Local Domain Dimensions::nx=512 Local Domain Dimensions::ny=512 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=16 Local Domain Dimensions::nz=288 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.676842 Linear System Information= Linear System Information::Number of Equations=328564998144 Linear System Information::Number of Nonzero Terms=8868603356536 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=41070624768 Multigrid Information::Coarse Grids::Number of Nonzero Terms=1108244034232 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=5133828096 Multigrid Information::Coarse Grids::Number of Nonzero Terms=138447681880 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=641728512 Multigrid Information::Coarse Grids::Number of Nonzero Terms=17285266600 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)=234874 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.847 Memory Use Information::Memory used for linear system and CG (Gbytes)=206706 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=24693.2 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=3087.88 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=386.297 ########## 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=1 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=0 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=1.78722e-06 ########## 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=54 Iteration Count Information::Total number of reference iterations=27000 Iteration Count Information::Total number of optimized iterations=29160 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00493375 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.457617 Benchmark Time Summary::DDOT=182.407 Benchmark Time Summary::WAXPBY=89.513 Benchmark Time Summary::SpMV=410.123 Benchmark Time Summary::MG=1307.24 Benchmark Time Summary::Total=1989.81 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=5.78406e+16 Floating Point Operations Summary::Raw WAXPBY=5.78406e+16 Floating Point Operations Summary::Raw SpMV=5.26795e+17 Floating Point Operations Summary::Raw MG=2.95164e+18 Floating Point Operations Summary::Total=3.59411e+18 Floating Point Operations Summary::Total with convergence overhead=3.32788e+18 GB/s Summary= GB/s Summary::Raw Read B/W=1.11249e+07 GB/s Summary::Raw Write B/W=2.5713e+06 GB/s Summary::Raw Total B/W=1.36962e+07 GB/s Summary::Total with convergence and optimization phase overhead=1.23029e+07 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=317097 GFLOP/s Summary::Raw WAXPBY=646169 GFLOP/s Summary::Raw SpMV=1.28448e+06 GFLOP/s Summary::Raw MG=2.25791e+06 GFLOP/s Summary::Raw Total=1.80626e+06 GFLOP/s Summary::Total with convergence overhead=1.67246e+06 GFLOP/s Summary::Total with convergence and optimization phase overhead=1.62251e+06 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.457617 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0279697 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=76.1324 DDOT Timing Variations::Max DDOT MPI_Allreduce time=140.065 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=99.7292 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=1.62251e+06 Final Summary::HPCG 2.4 rating for historical reasons is=1.65195e+06 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org