OK, I run Allin's script (I re-attach it at the end of this message) at home
( Windows 10 Home
Intel(R) Core(TM) i7-8565U CPU @ 1.80GHz 1.99 GHz
Installed memory(RAM) 16.0GB)
with 2020a-git build date 2020-01-11

and I get 
(tiny_mat = 1 )
eigen() time:    0.1368s
eigensym() time: 1.9458s
ratio of eigen() time to eigensym() time: 0.0702871

  (tiny_mat = 0 )
eigen() time:    0.7492s
eigensym() time: 2.6358s
ratio of eigen() time to eigensym() time: 0.284221

Points: eigen() is faster than Allin's due to  (I guess) newest machine I have, but eigensym() is considerably slower in any case.

Bear in mind than I posted the $sysinfo earlier on but I have no clue about MPI or how to change OMP_NUM_THREADS (for fancy stuff I rely on Jack's ;) intervention )

Tomorrow I will post results from my office


Yiannis