HPCG-Benchmark
version=3.1
Release date=March 28, 2019
Machine Summary=
Machine Summary::Distributed Processes=23328
Machine Summary::Threads per processes=6
Global Problem Dimensions=
Global Problem Dimensions::Global nx=12288
Global Problem Dimensions::Global ny=10368
Global Problem Dimensions::Global nz=10368
Processor Dimensions=
Processor Dimensions::npx=32
Processor Dimensions::npy=27
Processor Dimensions::npz=27
Local Domain Dimensions=
Local Domain Dimensions::nx=384
Local Domain Dimensions::ny=384
Local Domain Dimensions::Lower ipz=0
Local Domain Dimensions::Upper ipz=26
Local Domain Dimensions::nz=384
########## Problem Summary  ##########=
Setup Information=
Setup Information::Setup Time=3.75868
Linear System Information=
Linear System Information::Number of Equations=1320903770112
Linear System Information::Number of Nonzero Terms=36354363593167
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=165112971264
Multigrid Information::Coarse Grids::Number of Nonzero Terms=4543471968292
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=20639121408
Multigrid Information::Coarse Grids::Number of Nonzero Terms=568127149588
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=2579890176
Multigrid Information::Coarse Grids::Number of Nonzero Terms=71165575144
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)=944256
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)=831014
Memory Use Information::Coarse Grids=
Memory Use Information::Coarse Grids::Grid Level=1
Memory Use Information::Coarse Grids::Memory used=99274.4
Memory Use Information::Coarse Grids::Grid Level=2
Memory Use Information::Coarse Grids::Memory used=12414.5
Memory Use Information::Coarse Grids::Grid Level=3
Memory Use Information::Coarse Grids::Memory used=1553.15
########## V&V Testing Summary  ##########=
Spectral Convergence Tests=
Spectral Convergence Tests::Result=PASSED
Spectral Convergence Tests::Unpreconditioned=
Spectral Convergence Tests::Unpreconditioned::Maximum iteration count=8
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=2.60831e-17
Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=5.56438e-16
########## 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=55
Iteration Count Information::Total number of reference iterations=19550
Iteration Count Information::Total number of optimized iterations=21505
########## Reproducibility Summary  ##########=
Reproducibility Information=
Reproducibility Information::Result=PASSED
Reproducibility Information::Scaled residual mean=0.00491121
Reproducibility Information::Scaled residual variance=0
########## Performance Summary (times in sec) ##########=
Benchmark Time Summary=
Benchmark Time Summary::Optimization phase=2.10389
Benchmark Time Summary::DDOT=42.2205
Benchmark Time Summary::WAXPBY=77.2933
Benchmark Time Summary::SpMV=355.855
Benchmark Time Summary::MG=1325.5
Benchmark Time Summary::Total=1922.8
Floating Point Operations Summary=
Floating Point Operations Summary::Raw DDOT=1.71469e+17
Floating Point Operations Summary::Raw WAXPBY=1.71469e+17
Floating Point Operations Summary::Raw SpMV=1.59203e+18
Floating Point Operations Summary::Raw MG=8.92338e+18
Floating Point Operations Summary::Total=1.08583e+19
Floating Point Operations Summary::Total with convergence overhead=9.87122e+18
GB/s Summary=
GB/s Summary::Raw Read B/W=3.47646e+07
GB/s Summary::Raw Write B/W=8.03231e+06
GB/s Summary::Raw Total B/W=4.27969e+07
GB/s Summary::Total with convergence and optimization phase overhead=3.47621e+07
GFLOP/s Summary=
GFLOP/s Summary::Raw DDOT=4.06128e+06
GFLOP/s Summary::Raw WAXPBY=2.21842e+06
GFLOP/s Summary::Raw SpMV=4.47381e+06
GFLOP/s Summary::Raw MG=6.7321e+06
GFLOP/s Summary::Raw Total=5.64716e+06
GFLOP/s Summary::Total with convergence overhead=5.13378e+06
GFLOP/s Summary::Total with convergence and optimization phase overhead=4.58695e+06
User Optimization Overheads=
User Optimization Overheads::Optimization phase time (sec)=2.10389
User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.21971
DDOT Timing Variations=
DDOT Timing Variations::Min DDOT MPI_Allreduce time=7.9472
DDOT Timing Variations::Max DDOT MPI_Allreduce time=18.0799
DDOT Timing Variations::Avg DDOT MPI_Allreduce time=17.3949
Final Summary=
Final Summary::HPCG result is VALID with a GFLOP/s rating of=4.58695e+06
Final Summary::HPCG 2.4 rating for historical reasons is=4.92315e+06
Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org