HPCG-Benchmark version=3.1 Release date=March 28, 2019 Machine Summary= Machine Summary::Distributed Processes=13104 Machine Summary::Threads per processes=8 Global Problem Dimensions= Global Problem Dimensions::Global nx=12288 Global Problem Dimensions::Global ny=10752 Global Problem Dimensions::Global nz=7488 Processor Dimensions= Processor Dimensions::npx=24 Processor Dimensions::npy=21 Processor Dimensions::npz=26 Local Domain Dimensions= Local Domain Dimensions::nx=512 Local Domain Dimensions::ny=512 Local Domain Dimensions::Lower ipz=0 Local Domain Dimensions::Upper ipz=25 Local Domain Dimensions::nz=288 ########## Problem Summary ##########= Setup Information= Setup Information::Setup Time=0.439882 Linear System Information= Linear System Information::Number of Equations=989318873088 Linear System Information::Number of Nonzero Terms=26706126345976 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=123664859136 Multigrid Information::Coarse Grids::Number of Nonzero Terms=3337580481400 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=15458107392 Multigrid Information::Coarse Grids::Number of Nonzero Terms=417026266552 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=1932263424 Multigrid Information::Coarse Grids::Number of Nonzero Terms=52085477080 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)=707211 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)=622399 Memory Use Information::Coarse Grids= Memory Use Information::Coarse Grids::Grid Level=1 Memory Use Information::Coarse Grids::Memory used=74351.9 Memory Use Information::Coarse Grids::Grid Level=2 Memory Use Information::Coarse Grids::Memory used=9297.69 Memory Use Information::Coarse Grids::Grid Level=3 Memory Use Information::Coarse Grids::Memory used=1163.15 ########## 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=3.10019e-17 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=3.70338e-05 ########## 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=16350 Iteration Count Information::Total number of optimized iterations=17658 ########## Reproducibility Summary ##########= Reproducibility Information= Reproducibility Information::Result=PASSED Reproducibility Information::Scaled residual mean=0.00493862 Reproducibility Information::Scaled residual variance=0 ########## Performance Summary (times in sec) ##########= Benchmark Time Summary= Benchmark Time Summary::Optimization phase=0.300575 Benchmark Time Summary::DDOT=71.9258 Benchmark Time Summary::WAXPBY=69.2935 Benchmark Time Summary::SpMV=353.822 Benchmark Time Summary::MG=1429.1 Benchmark Time Summary::Total=1924.61 Floating Point Operations Summary= Floating Point Operations Summary::Raw DDOT=1.05463e+17 Floating Point Operations Summary::Raw WAXPBY=1.05463e+17 Floating Point Operations Summary::Raw SpMV=9.60619e+17 Floating Point Operations Summary::Raw MG=5.38244e+18 Floating Point Operations Summary::Total=6.55398e+18 Floating Point Operations Summary::Total with convergence overhead=6.0685e+18 GB/s Summary= GB/s Summary::Raw Read B/W=2.09739e+07 GB/s Summary::Raw Write B/W=4.84769e+06 GB/s Summary::Raw Total B/W=2.58216e+07 GB/s Summary::Total with convergence and optimization phase overhead=2.36119e+07 GFLOP/s Summary= GFLOP/s Summary::Raw DDOT=1.46628e+06 GFLOP/s Summary::Raw WAXPBY=1.52198e+06 GFLOP/s Summary::Raw SpMV=2.71498e+06 GFLOP/s Summary::Raw MG=3.76631e+06 GFLOP/s Summary::Raw Total=3.40536e+06 GFLOP/s Summary::Total with convergence overhead=3.15311e+06 GFLOP/s Summary::Total with convergence and optimization phase overhead=3.11394e+06 User Optimization Overheads= User Optimization Overheads::Optimization phase time (sec)=0.300575 User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0191431 DDOT Timing Variations= DDOT Timing Variations::Min DDOT MPI_Allreduce time=16.5012 DDOT Timing Variations::Max DDOT MPI_Allreduce time=41.0408 DDOT Timing Variations::Avg DDOT MPI_Allreduce time=22.3951 Final Summary= Final Summary::HPCG result is VALID with a GFLOP/s rating of=3.11394e+06 Final Summary::HPCG 2.4 rating for historical reasons is=3.13709e+06 Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org