HPCG-Benchmark
version=3.1
Release date=March 28, 2019
Machine Summary=
Machine Summary::Distributed Processes=3456
Machine Summary::Threads per processes=12
Global Problem Dimensions=
Global Problem Dimensions::Global nx=8192
Global Problem Dimensions::Global ny=9216
Global Problem Dimensions::Global nz=3072
Processor Dimensions=
Processor Dimensions::npx=16
Processor Dimensions::npy=18
Processor Dimensions::npz=12
Local Domain Dimensions=
Local Domain Dimensions::nx=512
Local Domain Dimensions::ny=512
########## Problem Summary  ##########=
Setup Information=
Setup Information::Setup Time=0.26007
Linear System Information=
Linear System Information::Number of Equations=231928233984
Linear System Information::Number of Nonzero Terms=6259741016056
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=28991029248
Multigrid Information::Coarse Grids::Number of Nonzero Terms=782177525752
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=3623878656
Multigrid Information::Coarse Grids::Number of Nonzero Terms=97699688440
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=452984832
Multigrid Information::Coarse Grids::Number of Nonzero Terms=12194347000
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)=165795
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)=145912
Memory Use Information::Coarse Grids=
Memory Use Information::Coarse Grids::Grid Level=1
Memory Use Information::Coarse Grids::Memory used=17430.9
Memory Use Information::Coarse Grids::Grid Level=2
Memory Use Information::Coarse Grids::Memory used=2179.78
Memory Use Information::Coarse Grids::Grid Level=3
Memory Use Information::Coarse Grids::Memory used=272.706
########## 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=1.41024e-16
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=53
Iteration Count Information::Total number of reference iterations=55200
Iteration Count Information::Total number of optimized iterations=58512
########## Reproducibility Summary  ##########=
Reproducibility Information=
Reproducibility Information::Result=PASSED
Reproducibility Information::Scaled residual mean=0.00502485
Reproducibility Information::Scaled residual variance=0
########## Performance Summary (times in sec) ##########=
Benchmark Time Summary=
Benchmark Time Summary::Optimization phase=0.197537
Benchmark Time Summary::DDOT=152.171
Benchmark Time Summary::WAXPBY=65.7357
Benchmark Time Summary::SpMV=319.761
Benchmark Time Summary::MG=1375.45
Benchmark Time Summary::Total=1913.15
Floating Point Operations Summary=
Floating Point Operations Summary::Raw DDOT=8.19356e+16
Floating Point Operations Summary::Raw WAXPBY=8.19356e+16
Floating Point Operations Summary::Raw SpMV=7.46361e+17
Floating Point Operations Summary::Raw MG=4.18039e+18
Floating Point Operations Summary::Total=5.09062e+18
Floating Point Operations Summary::Total with convergence overhead=4.80247e+18
GB/s Summary=
GB/s Summary::Raw Read B/W=1.63886e+07
GB/s Summary::Raw Write B/W=3.78771e+06
GB/s Summary::Raw Total B/W=2.01763e+07
GB/s Summary::Total with convergence and optimization phase overhead=1.85446e+07
GFLOP/s Summary=
GFLOP/s Summary::Raw DDOT=538446
GFLOP/s Summary::Raw WAXPBY=1.24644e+06
GFLOP/s Summary::Raw SpMV=2.33413e+06
GFLOP/s Summary::Raw MG=3.0393e+06
GFLOP/s Summary::Raw Total=2.66086e+06
GFLOP/s Summary::Total with convergence overhead=2.51025e+06
GFLOP/s Summary::Total with convergence and optimization phase overhead=2.44567e+06
User Optimization Overheads=
User Optimization Overheads::Optimization phase time (sec)=0.197537
User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.0152723
DDOT Timing Variations=
DDOT Timing Variations::Min DDOT MPI_Allreduce time=35.7257
DDOT Timing Variations::Max DDOT MPI_Allreduce time=112.291
DDOT Timing Variations::Avg DDOT MPI_Allreduce time=69.97
Final Summary=
Final Summary::HPCG result is VALID with a GFLOP/s rating of=2.44567e+06
Final Summary::HPCG 2.4 rating for historical reasons is=2.48196e+06
Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org