julia> using LinearAlgebra

julia> A = [1 2; 3 4];

julia> S = Symmetric(A);

julia> @time S + S; # first run
  0.282624 seconds (608.83 k allocations: 31.942 MiB, 99.98% compilation time) # nightly 
  0.285233 seconds (608.83 k allocations: 31.925 MiB, 99.98% compilation time) # this PR

julia> H = Hermitian(A);

julia> @time H + H; # second run
  0.197709 seconds (309.42 k allocations: 16.395 MiB, 6.39% gc time, 99.97% compilation time) # nightly
  0.063034 seconds (48.90 k allocations: 2.900 MiB, 99.91% compilation time) # this PR