On 2021-06-18 21:45, John Peterson wrote:
Your compiler flags are definitely far more advanced/aggressive than mine,

I cannot take credit for that, really. I only modified the -O2 to -O3, made sure that -funroll_loops was there and customised to my processor (amdfam10). All the other flags come directly from the Makefile provided by libMesh.

which are just on the default of -O2. However, I think what we should
conclude from your results is that there is something slower than it needs to be with DenseMatrix::resize(), not that we should move the DenseMatrix
creation/destruction inside the loop over elements. What I tried (see
attached patch or the "dense_matrix_resize_no_virtual" branch in my fork)
is avoiding the virtual function call to DenseMatrix::zero() which is
currently made from DenseMatrix::resize(). In my testing, this change did not seem to make much of a difference but I'm curious about what you would
get with your compiler args, this patch, and the unpatched ex4.

There _is_ something consistently different for sure. I only ran the case with `mpirun -np 4' and `-n 40'. The difference of the sums of times is in the order of 1 second. For five tests of this size and my rather limited system, I would say that your change yields marginally faster computation, and should be used. In which case, my modifications should be avoided.

In the interest of completeness, I need to say that I had to rebuild libMesh, because of compilation errors. I don't quite remember what version it is right now, but it is not the updated master branch (due to some issues that I am having with my Internet connection). Although this may not affect the comparison, it should be noted.

The results are shown below and in examples/introduction/sums.org

#+name: tbl-results
#+caption: The first two columns correspond to the (patched) original code. The last pair are the results with my modification (also with patch). In each case, the first of the columns is alive time, and the second one is active time. Data was copied from the .bz2 files.
| 3.65205 |   1.292 | 3.63248 | 1.31057 |
| 4.82533 | 1.76303 | 5.31107 | 1.95794 |
| 5.05955 | 1.84457 | 5.26696 |   1.964 |
| 3.86126 | 1.40952 | 3.53834 | 1.29313 |
| 3.58892 | 1.30998 |   4.369 | 1.59834 |

#+caption: calculate the sums of each column
#+begin_src python :var data=tbl-results
  ex4_alive = sum((I[0] for I in data))
  ex4_active = sum((I[1] for I in data))
  ex4_mod_alive = sum((I[2] for I in data))
  ex4_mod_active = sum((I[3] for I in data))
return [["ex4_alive", "ex4_active", "ex4_mod_alive", "ex4_mod_active"],
          None,
          [ex4_alive, ex4_active, ex4_mod_alive, ex4_mod_active]]
#+end_src

#+RESULTS:
| ex4_alive |         ex4_active |      ex4_mod_alive | ex4_mod_active |
|-----------+--------------------+--------------------+----------------|
|  20.98711 | 7.6190999999999995 | 22.117849999999997 |        8.12398 |
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