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Benchmark Pi 5 model B 16 GB (new 2025 version with D0 stepping) #51

@geerlingguy

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@geerlingguy

top500 HPL result - Pi 5 16GB - FIRMWARE 6 JAN

The original firmware I was testing (up until yesterday) benchmarked a little slower than I was expecting...

35.589 Gflops at 12.5W for 2.84 Gflops/W (vs 35.169 Gflops at / 2.77 Gflops/W on 8 GB model)

(without NUMA/SDRAM tweaks: 28.532 Gflops at 11.5W for 2.48 Gflops/W)

================================================================================
HPLinpack 2.3  --  High-Performance Linpack benchmark  --   December 2, 2018
Written by A. Petitet and R. Clint Whaley,  Innovative Computing Laboratory, UTK
Modified by Piotr Luszczek, Innovative Computing Laboratory, UTK
Modified by Julien Langou, University of Colorado Denver
================================================================================

An explanation of the input/output parameters follows:
T/V    : Wall time / encoded variant.
N      : The order of the coefficient matrix A.
NB     : The partitioning blocking factor.
P      : The number of process rows.
Q      : The number of process columns.
Time   : Time in seconds to solve the linear system.
Gflops : Rate of execution for solving the linear system.

The following parameter values will be used:

N      :   34581
NB     :     256
PMAP   : Row-major process mapping
P      :       1
Q      :       4
PFACT  :   Right
NBMIN  :       4
NDIV   :       2
RFACT  :   Crout
BCAST  :  1ringM
DEPTH  :       1
SWAP   : Mix (threshold = 64)
L1     : transposed form
U      : transposed form
EQUIL  : yes
ALIGN  : 8 double precision words

--------------------------------------------------------------------------------

- The matrix A is randomly generated for each test.
- The following scaled residual check will be computed:
      ||Ax-b||_oo / ( eps * ( || x ||_oo * || A ||_oo + || b ||_oo ) * N )
- The relative machine precision (eps) is taken to be               1.110223e-16
- Computational tests pass if scaled residuals are less than                16.0

================================================================================
T/V                N    NB     P     Q               Time                 Gflops
--------------------------------------------------------------------------------
WR11C2R4       34581   256     1     4             774.71             3.5589e+01
HPL_pdgesv() start time Fri Dec 20 12:10:33 2024

HPL_pdgesv() end time   Fri Dec 20 12:23:28 2024

--------------------------------------------------------------------------------
||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)=   2.88346118e-03 ...... PASSED
================================================================================

Finished      1 tests with the following results:
              1 tests completed and passed residual checks,
              0 tests completed and failed residual checks,
              0 tests skipped because of illegal input values.
--------------------------------------------------------------------------------

End of Tests.
================================================================================

top500 HPL result - Pi 5 16GB - FIRMWARE 8 JAN

But the latest firmware, released just before launch, was faster:

36.737 Gflops at 12.0W for 3.06 Gflops/W

    ================================================================================
    HPLinpack 2.3  --  High-Performance Linpack benchmark  --   December 2, 2018
    Written by A. Petitet and R. Clint Whaley,  Innovative Computing Laboratory, UTK
    Modified by Piotr Luszczek, Innovative Computing Laboratory, UTK
    Modified by Julien Langou, University of Colorado Denver
    ================================================================================
  
    An explanation of the input/output parameters follows:
    T/V    : Wall time / encoded variant.
    N      : The order of the coefficient matrix A.
    NB     : The partitioning blocking factor.
    P      : The number of process rows.
    Q      : The number of process columns.
    Time   : Time in seconds to solve the linear system.
    Gflops : Rate of execution for solving the linear system.
  
    The following parameter values will be used:
  
    N      :   34581
    NB     :     256
    PMAP   : Row-major process mapping
    P      :       1
    Q      :       4
    PFACT  :   Right
    NBMIN  :       4
    NDIV   :       2
    RFACT  :   Crout
    BCAST  :  1ringM
    DEPTH  :       1
    SWAP   : Mix (threshold = 64)
    L1     : transposed form
    U      : transposed form
    EQUIL  : yes
    ALIGN  : 8 double precision words
  
    --------------------------------------------------------------------------------
  
    - The matrix A is randomly generated for each test.
    - The following scaled residual check will be computed:
          ||Ax-b||_oo / ( eps * ( || x ||_oo * || A ||_oo + || b ||_oo ) * N )
    - The relative machine precision (eps) is taken to be               1.110223e-16
    - Computational tests pass if scaled residuals are less than                16.0
  
    ================================================================================
    T/V                N    NB     P     Q               Time                 Gflops
    --------------------------------------------------------------------------------
    WR11C2R4       34581   256     1     4             750.48             3.6737e+01
    HPL_pdgesv() start time Wed Jan  8 15:51:59 2025
  
    HPL_pdgesv() end time   Wed Jan  8 16:04:29 2025
  
    --------------------------------------------------------------------------------
    ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)=   2.88346118e-03 ...... PASSED
    ================================================================================
  
    Finished      1 tests with the following results:
                  1 tests completed and passed residual checks,
                  0 tests completed and failed residual checks,
                  0 tests skipped because of illegal input values.
    --------------------------------------------------------------------------------
  
    End of Tests.
    ================================================================================

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