n192-8928p-8t version: V3.0 Release date: November 11, 2015 Machine Summary: Distributed Processes: 8928 Threads per processes: 8 Global Problem Dimensions: Global nx: 3072 Global ny: 3456 Global nz: 5952 Processor Dimensions: npx: 16 npy: 18 npz: 31 Local Domain Dimensions: nx: 192 ny: 192 nz: 192 ########## Problem Summary ##########: Setup Information: Setup Time: 1.02486 Linear System Information: Number of Equations: 63191384064 Number of Nonzero Terms: 1705277032696 Multigrid Information: Number of coarse grid levels: 3 Coarse Grids: Grid Level: 1 Number of Equations: 7898923008 Number of Nonzero Terms: 213048374392 Number of Presmoother Steps: 1 Number of Postsmoother Steps: 1 Grid Level: 2 Number of Equations: 987365376 Number of Nonzero Terms: 26603247160 Number of Presmoother Steps: 1 Number of Postsmoother Steps: 1 Grid Level: 3 Number of Equations: 123420672 Number of Nonzero Terms: 3318463000 Number of Presmoother Steps: 1 Number of Postsmoother Steps: 1 ########## Memory Use Summary ##########: Memory Use Information: Total memory used for data (Gbytes): 45183.4 Memory used for OptimizeProblem data (Gbytes): 0 Bytes per equation (Total memory / Number of Equations): 715.024 Memory used for linear system and CG (Gbytes): 39763.3 Coarse Grids: Grid Level: 1 Memory used: 4751.24 Grid Level: 2 Memory used: 594.415 Grid Level: 3 Memory used: 74.4331 ########## V&V Testing Summary ##########: Spectral Convergence Tests: Result: PASSED Unpreconditioned: Maximum iteration count: 11 Expected iteration count: 12 Preconditioned: Maximum iteration count: 2 Expected iteration count: 2 Departure from Symmetry |x'Ay-y'Ax|/(2*||x||*||A||*||y||)/epsilon: Result: PASSED Departure for SpMV: 3.32371e-15 Departure for MG: 6.07763e-14 ########## Iterations Summary ##########: Iteration Count Information: Result: PASSED Reference CG iterations per set: 50 Optimized CG iterations per set: 51 Total number of reference iterations: 4400 Total number of optimized iterations: 4488 ########## Reproducibility Summary ##########: Reproducibility Information: Result: PASSED Scaled residual mean: 0.00483651 Scaled residual variance: 0 ########## Performance Summary (times in sec) ##########: Benchmark Time Summary: Optimization phase: 1.79998 DDOT: 12.5307 WAXPBY: 31.5768 SpMV: 312.005 MG: 1418.04 ALL_reduce: 123.147 Total: 1897.31 Floating Point Operations Summary: Raw DDOT: 1.71274e+15 Raw WAXPBY: 1.71274e+15 Raw SpMV: 1.56067e+16 Raw MG: 8.7348e+16 Total: 1.0638e+17 Total with convergence overhead: 1.04294e+17 GB/s Summary: Raw Read B/W: 345338 Raw Write B/W: 79806.7 Raw Total B/W: 425145 Total with convergence and optimization phase overhead: 411418 GFLOP/s Summary: Raw DDOT: 136683 Raw WAXPBY: 54240.5 Raw SpMV: 50020.6 Raw MG: 61597.9 Raw Total: 56068.9 Total with convergence overhead: 54969.5 Total with convergence and optimization phase overhead: 54258.6 User Optimization Overheads: Problem setup time (sec): 1.02486 Optimization phase time (sec): 1.79998 Optimization phase time vs reference SpMV+MG time: 1.8876 DDOT Timing Variations: Min DDOT MPI_Allreduce time: 96.5138 Max DDOT MPI_Allreduce time: 145.523 Avg DDOT MPI_Allreduce time: 115.739 __________ Final Summary __________: HPCG result is VALID with a GFLOP/s rating of: 54258.6 HPCG 2.4 Rating (for historical value) is: 54514.4 Reference version of ComputeDotProduct used: Performance results are most likely suboptimal Please upload results from the YAML file contents to: http://hpcg-benchmark.org