Nemo Galois fields decrease performance compared to AbstractAlgebra

[Ktrompfl]

Using Galois fields from Nemo instead of AbstractAlgebra heavily impacts the performance of basic arithmetic operations due to allocations for every single operation:

julia> using AbstractAlgebra, BenchmarkTools, Nemo

Welcome to Nemo version 0.43.1

Nemo comes with absolutely no warranty whatsoever

julia> @btime begin
           K = AbstractAlgebra.GF(2)
           a = one(K)

           for _ = 1:1_000_000
               a *= a
           end
       end

  247.656 μs (2 allocations: 40 bytes)

julia> @btime begin
           K = Nemo.GF(2)
           a = one(K)

           for _ = 1:1_000_000
               a *= a
           end
       end


  66.673 ms (1000006 allocations: 76.29 MiB)

julia> @btime begin
           K = AbstractAlgebra.GF(2)
           a = one(K)

           for _ = 1:1_000_000
               a += a
           end
       end
  78.806 ns (2 allocations: 40 bytes)

julia> @btime begin
           K = Nemo.GF(2)
           a = one(K)

           for _ = 1:1_000_000
               a += a
           end
       end

  68.983 ms (1000006 allocations: 76.29 MiB)

I assume this is a byproduct of calling native libraries, but still very unfortunate.