Comment by kstenerud
I'm 80% finished moving all of my servers from NixOS to Debian. I used NixOS for 3 years (even wrote some custom flakes) before finally giving up (for the final year I was just too scared to touch it, and then said "I shouldn't be scared of my OS"). I should know what "derivation" means, but I can't for the life of me remember...
I don’t know Nix, but I’ll describe how Guix works, and hopefully it will be obvious what the corresponding Nix concepts are.
A “package” is a high-level description (written in scheme) of how to build something, like: “using the GNU build system with inputs a, b, c, and configure flags x, y, z, build the source available at https://github.com/foo/bar”
The actual builder daemon doesn’t know about the GNU build system, or how to fetch things from GitHub, or how to compute nested dependencies, etc.; it is very simple. All it knows is how to build derivations, which are low-level descriptions of how to build something: “create a container that can see paths a, b, and c (which are themselves other derivations or files stored in the store and addressed by their hash), then invoke the builder script x.”
So when you ask guix to build something, it reads the package definition, finds the source and stores it in the store, generates the builder script (which is by convention usually also written in scheme, though theoretically nothing stops you from defining a package whose builder was written in some other language), computes the input derivation paths, etc., and ultimately generates a derivation which it then asks the daemon to build.
I believe in Nix, rather than scheme, packages are written in nix lang and builder scripts can be written in any language but by convention are usually bash.
So basically long story short, the package is the higher-level representation on the guix side, and the derivation is the lower-level representation on the guix-daemon side.