HPCG-Benchmark
version=3.1
Release date=March 28, 2019
Machine Summary=
Machine Summary::Distributed Processes=43776
Machine Summary::Threads per processes=1
Global Problem Dimensions=
Global Problem Dimensions::Global nx=1792
Global Problem Dimensions::Global ny=7776
Global Problem Dimensions::Global nz=14288
Processor Dimensions=
Processor Dimensions::npx=32
Processor Dimensions::npy=36
Processor Dimensions::npz=38
Local Domain Dimensions=
Local Domain Dimensions::nx=56
Local Domain Dimensions::ny=216
Local Domain Dimensions::Lower ipz=0
Local Domain Dimensions::Upper ipz=37
Local Domain Dimensions::nz=376
########## Problem Summary  ##########=
Setup Information=
Setup Information::Setup Time=1.47977
Linear System Information=
Linear System Information::Number of Equations=199097450496
Linear System Information::Number of Nonzero Terms=5372919890488
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=24887181312
Multigrid Information::Coarse Grids::Number of Nonzero Terms=671276148760
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=3110897664
Multigrid Information::Coarse Grids::Number of Nonzero Terms=83824836040
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=388862208
Multigrid Information::Coarse Grids::Number of Nonzero Terms=10456947280
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)=224294
Memory Use Information::Memory used for OptimizeProblem data (Gbytes)=81894.4
Memory Use Information::Bytes per equation (Total memory / Number of Equations)=1126.56
Memory Use Information::Memory used for linear system and CG (Gbytes)=125313
Memory Use Information::Coarse Grids=
Memory Use Information::Coarse Grids::Grid Level=1
Memory Use Information::Coarse Grids::Memory used=14977.5
Memory Use Information::Coarse Grids::Grid Level=2
Memory Use Information::Coarse Grids::Memory used=1874.77
Memory Use Information::Coarse Grids::Grid Level=3
Memory Use Information::Coarse Grids::Memory used=235.015
########## 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=9.56796e-16
Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon::Departure for MG=5.63729e-08
########## 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=20000
Iteration Count Information::Total number of optimized iterations=20000
########## Reproducibility Summary  ##########=
Reproducibility Information=
Reproducibility Information::Result=PASSED
Reproducibility Information::Scaled residual mean=0.00504295
Reproducibility Information::Scaled residual variance=1.86665e-14
########## Performance Summary (times in sec) ##########=
Benchmark Time Summary=
Benchmark Time Summary::Optimization phase=0.978566
Benchmark Time Summary::DDOT=80.6238
Benchmark Time Summary::WAXPBY=33.0344
Benchmark Time Summary::SpMV=395.467
Benchmark Time Summary::MG=1388.92
Benchmark Time Summary::Total=1899.05
Floating Point Operations Summary=
Floating Point Operations Summary::Raw DDOT=2.4051e+16
Floating Point Operations Summary::Raw WAXPBY=2.4051e+16
Floating Point Operations Summary::Raw SpMV=2.19215e+17
Floating Point Operations Summary::Raw MG=1.22644e+18
Floating Point Operations Summary::Total=1.49376e+18
Floating Point Operations Summary::Total with convergence overhead=1.49376e+18
GB/s Summary=
GB/s Summary::Raw Read B/W=4.8447e+06
GB/s Summary::Raw Write B/W=1.11954e+06
GB/s Summary::Raw Total B/W=5.96424e+06
GB/s Summary::Total with convergence and optimization phase overhead=5.67061e+06
GFLOP/s Summary=
GFLOP/s Summary::Raw DDOT=298311
GFLOP/s Summary::Raw WAXPBY=728058
GFLOP/s Summary::Raw SpMV=554319
GFLOP/s Summary::Raw MG=883015
GFLOP/s Summary::Raw Total=786583
GFLOP/s Summary::Total with convergence overhead=786583
GFLOP/s Summary::Total with convergence and optimization phase overhead=747858
User Optimization Overheads=
User Optimization Overheads::Optimization phase time (sec)=0.978566
User Optimization Overheads::Optimization phase time vs reference SpMV+MG time=0.104126
DDOT Timing Variations=
DDOT Timing Variations::Min DDOT MPI_Allreduce time=23.1676
DDOT Timing Variations::Max DDOT MPI_Allreduce time=128.388
DDOT Timing Variations::Avg DDOT MPI_Allreduce time=49.9911
Final Summary=
Final Summary::HPCG result is VALID with a GFLOP/s rating of=747858
Final Summary::HPCG 2.4 rating for historical reasons is=770697
Final Summary::Please upload results from the YAML file contents to=http://hpcg-benchmark.org