HPCG-Benchmark
version=3.1
Release date=March 28, 2019
Machine Summary=
Machine Summary::Distributed Processes=512
Machine Summary::Threads per processes=8
Global Problem Dimensions=
Global Problem Dimensions::Global nx=4096
Global Problem Dimensions::Global ny=4096
Global Problem Dimensions::Global nz=2048
Processor Dimensions=
Processor Dimensions::npx=8
Processor Dimensions::npy=8
Processor Dimensions::npz=8
Local Domain Dimensions=
Local Domain Dimensions::nx=512
Local Domain Dimensions::ny=512
########## Problem Summary  ##########=
Setup Information=
Setup Information::Setup Time=0.12616
Linear System Information=
Linear System Information::Number of Equations=34359738368
Linear System Information::Number of Nonzero Terms=927109079032
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=4294967296
Multigrid Information::Coarse Grids::Number of Nonzero Terms=115813183480
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=536870912
Multigrid Information::Coarse Grids::Number of Nonzero Terms=14457796600
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=67108864
Multigrid Information::Coarse Grids::Number of Nonzero Terms=1802517496
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)=24562.3
Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=0
Memory Use Information::Bytes per equation (Total memory / Number of Equations)=714.856
Memory Use Information::Memory used for linear system and CG (Gbytes)=21616.6
Memory Use Information::Coarse Grids=
Memory Use Information::Coarse Grids::Grid Level=1
Memory Use Information::Coarse Grids::Memory used=2582.36
Memory Use Information::Coarse Grids::Grid Level=2
Memory Use Information::Coarse Grids::Memory used=322.931
Memory Use Information::Coarse Grids::Grid Level=3
Memory Use Information::Coarse Grids::Memory used=40.401
########## 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=0
Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=0
########## 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=54350
Iteration Count Information::Total number of optimized iterations=58698
########## Reproducibility Summary  ##########=
Reproducibility Information=
Reproducibility Information::Result=PASSED
Reproducibility Information::Scaled residual mean=0.00491972
Reproducibility Information::Scaled residual variance=0
########## Performance Summary (times in sec) ##########=
Benchmark Time Summary=
Benchmark Time Summary::Optimization phase=0.188119
Benchmark Time Summary::DDOT=90.053
Benchmark Time Summary::WAXPBY=65.7265
Benchmark Time Summary::SpMV=325.537
Benchmark Time Summary::MG=1387.25
Benchmark Time Summary::Total=1868.87
Floating Point Operations Summary=
Floating Point Operations Summary::Raw DDOT=1.21758e+16
Floating Point Operations Summary::Raw WAXPBY=1.21758e+16
Floating Point Operations Summary::Raw SpMV=1.10854e+17
Floating Point Operations Summary::Raw MG=6.21084e+17
Floating Point Operations Summary::Total=7.5629e+17
Floating Point Operations Summary::Total with convergence overhead=7.00269e+17
GB/s Summary=
GB/s Summary::Raw Read B/W=2.49247e+06
GB/s Summary::Raw Write B/W=576085
GB/s Summary::Raw Total B/W=3.06856e+06
GB/s Summary::Total with convergence and optimization phase overhead=2.79025e+06
GFLOP/s Summary=
GFLOP/s Summary::Raw DDOT=135207
GFLOP/s Summary::Raw WAXPBY=185249
GFLOP/s Summary::Raw SpMV=340528
GFLOP/s Summary::Raw MG=447710
GFLOP/s Summary::Raw Total=404677
GFLOP/s Summary::Total with convergence overhead=374701
GFLOP/s Summary::Total with convergence and optimization phase overhead=367974
User Optimization Overheads=
User Optimization Overheads::Optimization phase time (sec)=0.188119
User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0371964
DDOT Timing Variations=
DDOT Timing Variations::Min DDOT MPI_Allreduce time=21.7618
DDOT Timing Variations::Max DDOT MPI_Allreduce time=63.6867
DDOT Timing Variations::Avg DDOT MPI_Allreduce time=36.6126
Final Summary=
Final Summary::HPCG result is VALID with a GFLOP/s rating of=367974
Final Summary::HPCG 2.4 rating for historical reasons is=370645
Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org