HPCG-Benchmark
version=3.1
Release date=March 28, 2019
Machine Summary=
Machine Summary::Distributed Processes=32768
Machine Summary::Threads per processes=1
Global Problem Dimensions=
Global Problem Dimensions::Global nx=6144
Global Problem Dimensions::Global ny=6144
Global Problem Dimensions::Global nz=6144
Processor Dimensions=
Processor Dimensions::npx=32
Processor Dimensions::npy=32
Processor Dimensions::npz=32
Local Domain Dimensions=
Local Domain Dimensions::nx=192
Local Domain Dimensions::ny=192
Local Domain Dimensions::Lower ipz=0
Local Domain Dimensions::Upper ipz=31
Local Domain Dimensions::nz=192
########## Problem Summary  ##########=
Setup Information=
Setup Information::Setup Time=2.45825
Linear System Information=
Linear System Information::Number of Equations=231928233984
Linear System Information::Number of Nonzero Terms=6260024107000
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=782248292344
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=97717377016
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=12198767608
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)=334977
Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=169143
Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1444.31
Memory Use Information::Memory used for linear system and CG (Gbytes)=145941
Memory Use Information::Coarse Grids=
Memory Use Information::Coarse Grids::Grid Level=1
Memory Use Information::Coarse Grids::Memory used=17438.3
Memory Use Information::Coarse Grids::Grid Level=2
Memory Use Information::Coarse Grids::Memory used=2181.65
Memory Use Information::Coarse Grids::Grid Level=3
Memory Use Information::Coarse Grids::Memory used=273.188
########## 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=5.83705e-14
Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=3.51915e-13
########## 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=1650
Iteration Count Information::Total number of optimized iterations=1650
########## Reproducibility Summary  ##########=
Reproducibility Information=
Reproducibility Information::Result=PASSED
Reproducibility Information::Scaled residual mean=0.00499079
Reproducibility Information::Scaled residual variance=0
########## Performance Summary (times in sec) ##########=
Benchmark Time Summary=
Benchmark Time Summary::Optimization phase=1.90986
Benchmark Time Summary::DDOT=73.9338
Benchmark Time Summary::WAXPBY=96.5099
Benchmark Time Summary::SpMV=410.41
Benchmark Time Summary::MG=1438.17
Benchmark Time Summary::Total=2019.45
Floating Point Operations Summary=
Floating Point Operations Summary::Raw DDOT=2.3114e+15
Floating Point Operations Summary::Raw WAXPBY=2.3114e+15
Floating Point Operations Summary::Raw SpMV=2.10712e+16
Floating Point Operations Summary::Raw MG=1.1789e+17
Floating Point Operations Summary::Total=1.43584e+17
Floating Point Operations Summary::Total with convergence overhead=1.43584e+17
GB/s Summary=
GB/s Summary::Raw Read B/W=437920
GB/s Summary::Raw Write B/W=101197
GB/s Summary::Raw Total B/W=539117
GB/s Summary::Total with convergence and optimization phase overhead=535296
GFLOP/s Summary=
GFLOP/s Summary::Raw DDOT=31263.1
GFLOP/s Summary::Raw WAXPBY=23949.8
GFLOP/s Summary::Raw SpMV=51341.9
GFLOP/s Summary::Raw MG=81972.2
GFLOP/s Summary::Raw Total=71100.9
GFLOP/s Summary::Total with convergence overhead=71100.9
GFLOP/s Summary::Total with convergence and optimization phase overhead=70597
User Optimization Overheads=
User Optimization Overheads::Optimization phase time (sec)=1.90986
User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=1.09592
DDOT Timing Variations=
DDOT Timing Variations::Min DDOT MPI_Allreduce time=3.78076
DDOT Timing Variations::Max DDOT MPI_Allreduce time=53.2123
DDOT Timing Variations::Avg DDOT MPI_Allreduce time=20.9959
Final Summary=
Final Summary::HPCG result is VALID with a GFLOP/s rating of=70597
Final Summary::HPCG 2.4 rating for historical reasons is=70879.7
Final Summary::Reference version of ComputeDotProduct used=Performance results are most likely suboptimal
Final Summary::Reference version of ComputeWAXPBY used=Performance results are most likely suboptimal
Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org