Revision history for hegg

Unreleased

Change 'modifyA' to instead operate over e-graphs, instead of being constrained to editing the e-class that prompted the modification. (Remember that the e-graph lenses in 'Data.Equality.Graph.Lens' are the preferred way to edit the e-graph and the desired e-class (by id), and its data, etc...)
Fix compilation of Data.Equality.Graph.Dot, the graphviz rendering backend (despite there being some usability bugs still) (by @BinderDavid)
Dropped support for GHC 9.0 because of the QuantifiedConstraints bug (by @phadej)
Add AnalysisM, a class for e-graph analysis that are only well-defined within a certain monadic context. Accordingly, we also add versions of the current e-graph transformation functions (such as add and merge) for analysis defined monadically (such as addM and mergeM).
Add operation to create empty e-classes with explicit domain data (experimental, not sure whether this is something good to keep in the API)

Make Language a constraint type synonym instead of a standalone empty class
Use QuantifiedConstraints instead of Eq1,Ord1,Show1 in the implementation, which results in the user only having to provide an Eq a => Eq (language a) instance rather than a Eq1 language one (which is much simpler and can usually be done automatically!)
Make _classes a Traversal lens over all e-classes rather than a Lens into IntMap EClass

A better Analysis tutorial in the README.
Complete Analysis redesign.
- The Analysis class now has two type parameters: a domain and a language, and no longer has an associated type family
- The analysis no longer has any knowledge of the e-graph:
  - makeA now has type l domain -> domain, that is, to make a domain of a new node we only have to take into consideration the data of the sub-nodes of the new node.
  - joinA is unchanged.
  - modifyA now has type EClass domain lang -> (EClass domain lang, [Fix lang]). It takes an e-class and optionally modifies it, possibly by adding nodes to it. The return value is the modified e-class, and a list of expressions from the language to add to the e-class.
- We can now compose analysis and create language-polymorphic analysis. Such two examples are the analysis with domain () which regardless of the language simply ignores the domain: instance Analysis () l; and the second example is the product of analysis, which composes two separate analysis into one: instance (Analysis a l, Analysis b l) => Analysis (a,b) l.
- An EGraph now also has two type parameters instead of one (the latter is the language is the former the domain of the analysis).
Allow customization of Schedulers through parameters (by accepting a scheduler rather than a proxy for it)

Expose runEqualitySaturation to run equality saturation on existing e-graphs whole instead of focusing on individual expressions
(Very) significant performance improvements!
Make CostFunction polymorphic over the Cost type, requiring that type to instance Ord
Make e-graph abstract. The internal structure can still be modified through the available lenses in Data.Equality.Graph.Lens
Fix a bug related to NodeMap's size.