compute example autoapply dependency drop and refactoring

[KovalevDima]

Dropped autoapply dependency and simplified compute example source code

It was too hard for me to understand what's going on behind library API calls via template haskell. So I decided to:

1. Rewrite it in a more straightforward way with direct arguments passing
2. Drop the autoapply dependency which has lack of support (cannot build it on ghc 9.6 without overrides)
3. Move the top level functions to start of the file

Have not tested this change since need to setup flake.nix for local development. Want to check build via CI pipeline