HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=41856 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=1536 Global Problem Dimensions::Global ny=3456 Global Problem Dimensions::Global nz=40984 Processor Dimensions= Processor Dimensions::npx=16 Processor Dimensions::npy=24 Processor Dimensions::npz=109 Local Domain Dimensions= Local Domain Dimensions::nx=96 Local Domain Dimensions::ny=144 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=108 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=6.26054 Linear System Information= Linear System Information::Number of Equations=217560121344 Linear System Information::Number of Nonzero Terms=5870345618200 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=27195015168 Multigrid Information::Coarse Grids::Number of Nonzero Terms=733321132936 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=3399376896 Multigrid Information::Coarse Grids::Number of Nonzero Terms=91547176000 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=424922112 Multigrid Information::Coarse Grids::Number of Nonzero Terms=11413931452 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)=243081 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=87500 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1117.31 Memory Use Information::Memory used for linear system and CG (Gbytes)=136915 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=16361.8 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=2047.49 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=256.519 ########## 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=6.4097e-16 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=5.12776e-15 ########## 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=50 Iteration Count Information::Total number of reference iterations=16850 Iteration Count Information::Total number of optimized iterations=16850 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00510511 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=1.28652 Benchmark Time Summary::DDOT=103.107 Benchmark Time Summary::WAXPBY=35.856 Benchmark Time Summary::SpMV=460.563 Benchmark Time Summary::MG=1492.58 Benchmark Time Summary::Total=2093.04 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=2.2142e+16 Floating Point Operations Summary::Raw WAXPBY=2.2142e+16 Floating Point Operations Summary::Raw SpMV=2.01787e+17 Floating Point Operations Summary::Raw MG=1.12891e+18 Floating Point Operations Summary::Total=1.37498e+18 Floating Point Operations Summary::Total with convergence overhead=1.37498e+18 GB/s Summary= GB/s Summary::Raw Read B/W=4.04618e+06 GB/s Summary::Raw Write B/W=935014 GB/s Summary::Raw Total B/W=4.98119e+06 GB/s Summary::Total with convergence and optimization phase overhead=4.44148e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=214747 GFLOP/s Summary::Raw WAXPBY=617525 GFLOP/s Summary::Raw SpMV=438132 GFLOP/s Summary::Raw MG=756348 GFLOP/s Summary::Raw Total=656932 GFLOP/s Summary::Total with convergence overhead=656932 GFLOP/s Summary::Total with convergence and optimization phase overhead=585754 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=1.28652 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.110612 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=43.1661 DDOT Timing Variations::Max DDOT MPI_Allreduce time=443.372 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=244.326 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=585754 Final Summary::HPCG 2.4 rating for historical reasons is=643601 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org