HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=14336 Machine Summary::Threads per processes=1 Global Problem Dimensions= Global Problem Dimensions::Global nx=1536 Global Problem Dimensions::Global ny=4608 Global Problem Dimensions::Global nz=10528 Processor Dimensions= Processor Dimensions::npx=16 Processor Dimensions::npy=32 Processor Dimensions::npz=28 Local Domain Dimensions= Local Domain Dimensions::nx=96 Local Domain Dimensions::ny=144 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=27 Local Domain Dimensions::nz=376 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=2.84085 Linear System Information= Linear System Information::Number of Equations=74516004864 Linear System Information::Number of Nonzero Terms=2010640616824 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=9314500608 Multigrid Information::Coarse Grids::Number of Nonzero Terms=251168687800 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=1164312576 Multigrid Information::Coarse Grids::Number of Nonzero Terms=31355757400 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=145539072 Multigrid Information::Coarse Grids::Number of Nonzero Terms=3909396904 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)=83257.2 Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=29969.4 Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1117.31 Memory Use Information::Memory used for linear system and CG (Gbytes)=46894.6 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=5604.05 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=701.279 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=87.8599 ########## 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=2.73192e-15 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=1.09277e-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=50 Iteration Count Information::Total number of reference iterations=16750 Iteration Count Information::Total number of optimized iterations=16750 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00509683 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=2.49021 Benchmark Time Summary::DDOT=461.686 Benchmark Time Summary::WAXPBY=32.1817 Benchmark Time Summary::SpMV=630.294 Benchmark Time Summary::MG=1440.96 Benchmark Time Summary::Total=2566.06 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=7.53878e+15 Floating Point Operations Summary::Raw WAXPBY=7.53878e+15 Floating Point Operations Summary::Raw SpMV=6.87036e+16 Floating Point Operations Summary::Raw MG=3.84367e+17 Floating Point Operations Summary::Total=4.68148e+17 Floating Point Operations Summary::Total with convergence overhead=4.68148e+17 GB/s Summary= GB/s Summary::Raw Read B/W=1.12368e+06 GB/s Summary::Raw Write B/W=259666 GB/s Summary::Raw Total B/W=1.38334e+06 GB/s Summary::Total with convergence and optimization phase overhead=1.29333e+06 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=16328.8 GFLOP/s Summary::Raw WAXPBY=234257 GFLOP/s Summary::Raw SpMV=109002 GFLOP/s Summary::Raw MG=266744 GFLOP/s Summary::Raw Total=182439 GFLOP/s Summary::Total with convergence overhead=182439 GFLOP/s Summary::Total with convergence and optimization phase overhead=170568 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=2.49021 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.21309 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=194.717 DDOT Timing Variations::Max DDOT MPI_Allreduce time=740.332 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=616.134 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=170568 Final Summary::HPCG 2.4 rating for historical reasons is=176694 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org