Numeric, ordering and equality traits (#2433)

* Adapts to https://github.com/anoma/juvix-stdlib/pull/86 * Adds a pass in `toEvalTransformations` to automatically inline all record projection functions, regardless of the optimization level. This is necessary to ensure that arithmetic operations and comparisons on `Nat` or `Int` are always represented directly with the corresponding built-in Core functions. This is generally highly desirable and required for the Geb target. * Adds the `inline: always` pragma which indicates that a function should always be inlined during the mandatory inlining phase, regardless of optimization level.
2024-11-30 05:42:26 +03:00 · 2023-10-09 18:25:01 +02:00 · 2023-10-09 18:25:01 +02:00 · 60a191b786
commit 60a191b786
parent 0e4c27b74f
79 changed files with 170 additions and 141 deletions
--- a/examples/demo/Demo.juvix
+++ b/examples/demo/Demo.juvix
@ -2,9 +2,6 @@ module Demo;

 -- standard library prelude
 import Stdlib.Prelude open;
-- for comparisons on natural numbers
-import Stdlib.Data.Nat.Ord open;
-- for Ordering

 even : Nat → Bool
  | zero := true
@ -35,13 +32,13 @@ preorder : {A : Type} → Tree A → List A
  | (node x l r) := x :: nil ++ preorder l ++ preorder r;

 terminating
-sort : {A : Type} → (A → A → Ordering) → List A → List A
-  | _ nil := nil
-  | _ xs@(_ :: nil) := xs
-  | {A} cmp xs :=
+sort {A} {{Ord A}} : List A → List A
+  | nil := nil
+  | xs@(_ :: nil) := xs
+  | xs :=
    uncurry
-      (merge {{mkOrd cmp}})
-      (both (sort cmp) (splitAt (div (length xs) 2) xs));
+      merge
+      (both sort (splitAt (div (length xs) 2) xs));

 printNatListLn : List Nat → IO
  | nil := printStringLn "nil"
@ -51,6 +48,6 @@ printNatListLn : List Nat → IO
 main : IO :=
  printStringLn "Hello!"
    >> printNatListLn (preorder (mirror tree))
-    >> printNatListLn (sort compare (preorder (mirror tree)))
+    >> printNatListLn (sort (preorder (mirror tree)))
    >> printNatLn (log2 3)
    >> printNatLn (log2 130);
--- a/examples/midsquare/MidSquareHash.juvix
+++ b/examples/midsquare/MidSquareHash.juvix
@ -5,7 +5,6 @@
 module MidSquareHash;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 --- `pow N` is 2 ^ N
 pow : Nat -> Nat
--- a/examples/midsquare/MidSquareHashUnrolled.juvix
+++ b/examples/midsquare/MidSquareHashUnrolled.juvix
@ -6,7 +6,6 @@
 module MidSquareHashUnrolled;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 --- `powN` is 2 ^ N
 pow0 : Nat := 1;
--- a/examples/milestone/Bank/Bank.juvix
+++ b/examples/milestone/Bank/Bank.juvix
@ -6,8 +6,6 @@ module Bank;
 import Stdlib.Prelude open;
 import Stdlib.Debug.Fail open;

-import Stdlib.Data.Nat.Ord open;
-
 import Stdlib.Data.Nat as Nat;

 Address : Type := Nat;
--- a/examples/milestone/Collatz/Collatz.juvix
+++ b/examples/milestone/Collatz/Collatz.juvix
@ -1,7 +1,6 @@
 module Collatz;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 collatzNext (n : Nat) : Nat :=
  if (mod n 2 == 0) (div n 2) (3 * n + 1);
--- a/examples/milestone/TicTacToe/CLI/TicTacToe.juvix
+++ b/examples/milestone/TicTacToe/CLI/TicTacToe.juvix
@ -5,7 +5,6 @@
 --- The module Logic.Game contains the game logic.
 module CLI.TicTacToe;

-import Stdlib.Data.Nat.Ord open;
 import Stdlib.Prelude open;
 import Logic.Game open;

--- a/examples/milestone/TicTacToe/Logic/Extra.juvix
+++ b/examples/milestone/TicTacToe/Logic/Extra.juvix
@ -1,7 +1,6 @@
 --- Some generic helper definitions.
 module Logic.Extra;

-import Stdlib.Data.Nat.Ord open;
 import Stdlib.Prelude open;

 --- Concatenates a list of strings
--- a/examples/milestone/TicTacToe/Logic/Game.juvix
+++ b/examples/milestone/TicTacToe/Logic/Game.juvix
@ -4,7 +4,6 @@
 --- diagonal row is the winner. It is a solved game, with a forced draw assuming best play from both players.
 module Logic.Game;

-import Stdlib.Data.Nat.Ord open;
 import Stdlib.Prelude open;
 import Logic.Extra open public;
 import Logic.Board open public;
--- a/examples/milestone/TicTacToe/Logic/Square.juvix
+++ b/examples/milestone/TicTacToe/Logic/Square.juvix
@ -2,7 +2,6 @@ module Logic.Square;

 import Stdlib.Prelude open;
 import Logic.Symbol open;
-import Stdlib.Data.Nat.Ord open;
 import Logic.Extra open;

 --- A square is each of the holes in a board
@ -24,9 +23,5 @@ showSquare : Square → String
  | (occupied s) := " " ++str showSymbol s ++str " ";

 replace (player : Symbol) (k : Nat) : Square → Square
-  | (empty n) :=
-    if
-      (n Stdlib.Data.Nat.Ord.== k)
-      (occupied player)
-      (empty n)
+  | (empty n) := if (n == k) (occupied player) (empty n)
  | s := s;
--- a/examples/milestone/Tutorial/Tutorial.juvix
+++ b/examples/milestone/Tutorial/Tutorial.juvix
@ -5,7 +5,5 @@ module Tutorial;

 -- import the standard library prelude and bring it into scope
 import Stdlib.Prelude open;
-- bring comparison operators on Nat into scope
-import Stdlib.Data.Nat.Ord open;

 main : IO := printStringLn "Hello world!";
--- a/2
+++ b/2
@ -1 +1 @@
-Subproject commit adf58a7180b361a022fb53c22ad9e5274ebf6f66
+Subproject commit 9a091c5453594ac66b3b25cde0c11a54a255a9c9
--- a/src/Juvix/Compiler/Backend/Geb/Translation/FromCore.hs
+++ b/src/Juvix/Compiler/Backend/Geb/Translation/FromCore.hs
@ -58,7 +58,7 @@ fromCore :: Core.InfoTable -> (Morphism, Object)
 fromCore tab = case tab ^. Core.infoMain of
  Just sym ->
    let node = Core.lookupIdentifierNode tab sym
-        syms = reverse $ filter (/= sym) $ Core.createIdentDependencyInfo tab ^. Core.depInfoTopSort
+        syms = reverse $ filter (/= sym) $ Core.createCallGraph tab ^. Core.depInfoTopSort
        idents = map (Core.lookupIdentifierInfo tab) syms
        morph = run . runReader emptyEnv $ goIdents node idents
        obj = convertType $ Info.getNodeType node
--- a/src/Juvix/Compiler/Core/Data/IdentDependencyInfo.hs
+++ b/src/Juvix/Compiler/Core/Data/IdentDependencyInfo.hs
@ -1,5 +1,6 @@
 module Juvix.Compiler.Core.Data.IdentDependencyInfo where

+import Data.HashMap.Strict qualified as HashMap
 import Data.HashSet qualified as HashSet
 import Juvix.Compiler.Core.Data.InfoTable
 import Juvix.Compiler.Core.Extra.Utils
@ -9,8 +10,8 @@ import Juvix.Compiler.Core.Language
 type IdentDependencyInfo = DependencyInfo Symbol

 -- | Compute the call graph
-createIdentDependencyInfo :: InfoTable -> IdentDependencyInfo
-createIdentDependencyInfo tab = createDependencyInfo graph startVertices
+createCallGraph :: InfoTable -> IdentDependencyInfo
+createCallGraph tab = createDependencyInfo graph startVertices
  where
    graph :: HashMap Symbol (HashSet Symbol)
    graph =
@ -27,5 +28,28 @@ createIdentDependencyInfo tab = createDependencyInfo graph startVertices
    syms :: [Symbol]
    syms = maybe [] singleton (tab ^. infoMain)

+createSymbolDependencyInfo :: InfoTable -> IdentDependencyInfo
+createSymbolDependencyInfo tab = createDependencyInfo graph startVertices
+  where
+    graph :: HashMap Symbol (HashSet Symbol)
+    graph =
+      fmap
+        ( \IdentifierInfo {..} ->
+            getSymbols tab (lookupIdentifierNode tab _identifierSymbol)
+        )
+        (tab ^. infoIdentifiers)
+        <> foldr
+          ( \ConstructorInfo {..} ->
+              HashMap.insert _constructorInductive (getSymbols tab _constructorType)
+          )
+          mempty
+          (tab ^. infoConstructors)
+
+    startVertices :: HashSet Symbol
+    startVertices = HashSet.fromList syms
+
+    syms :: [Symbol]
+    syms = maybe [] singleton (tab ^. infoMain)
+
 recursiveIdents :: InfoTable -> HashSet Symbol
-recursiveIdents = nodesOnCycles . createIdentDependencyInfo
+recursiveIdents = nodesOnCycles . createCallGraph
--- a/src/Juvix/Compiler/Core/Data/InfoTable.hs
+++ b/src/Juvix/Compiler/Core/Data/InfoTable.hs
@ -209,20 +209,33 @@ filterByFile f t =
    matchesLocation :: Maybe Location -> Bool
    matchesLocation l = l ^? _Just . intervalFile == Just f

-- | Prunes the orphaned entries of identMap and indentContext, i.e., ones that
-- have no corresponding entries in infoIdentifiers or infoInductives
+-- | Prunes the orphaned entries of identMap, indentContext and
+-- infoConstructors, i.e., ones that have no corresponding entries in
+-- infoIdentifiers or infoInductives
 pruneInfoTable :: InfoTable -> InfoTable
 pruneInfoTable tab =
-  over
-    identMap
-    ( HashMap.filter
-        ( \case
-            IdentFun s -> HashMap.member s (tab ^. infoIdentifiers)
-            IdentInd s -> HashMap.member s (tab ^. infoInductives)
-            IdentConstr tag -> HashMap.member tag (tab ^. infoConstructors)
-        )
-    )
+  pruneIdentMap
+    $ over
+      infoConstructors
+      ( HashMap.filter
+          ( \ConstructorInfo {..} ->
+              HashMap.member _constructorInductive (tab ^. infoInductives)
+          )
+      )
    $ over
      identContext
      (HashMap.filterWithKey (\s _ -> HashMap.member s (tab ^. infoIdentifiers)))
      tab
+  where
+    pruneIdentMap :: InfoTable -> InfoTable
+    pruneIdentMap tab' =
+      over
+        identMap
+        ( HashMap.filter
+            ( \case
+                IdentFun s -> HashMap.member s (tab' ^. infoIdentifiers)
+                IdentInd s -> HashMap.member s (tab' ^. infoInductives)
+                IdentConstr tag -> HashMap.member tag (tab' ^. infoConstructors)
+            )
+        )
+        tab'
--- a/src/Juvix/Compiler/Core/Data/TransformationId.hs
+++ b/src/Juvix/Compiler/Core/Data/TransformationId.hs
@ -26,6 +26,7 @@ data TransformationId
  | LambdaFolding
  | LetHoisting
  | Inlining
+  | MandatoryInlining
  | FoldTypeSynonyms
  | CaseCallLifting
  | SimplifyIfs
@ -75,7 +76,7 @@ toNormalizeTransformations :: [TransformationId]
 toNormalizeTransformations = toEvalTransformations ++ [LetRecLifting, LetFolding, UnrollRecursion]

 toVampIRTransformations :: [TransformationId]
-toVampIRTransformations = toEvalTransformations ++ [CheckVampIR, LetRecLifting, OptPhaseVampIR, UnrollRecursion, Normalize, LetHoisting]
+toVampIRTransformations = toEvalTransformations ++ [FilterUnreachable, CheckVampIR, LetRecLifting, OptPhaseVampIR, UnrollRecursion, Normalize, LetHoisting]

 toStrippedTransformations :: [TransformationId]
 toStrippedTransformations =
--- a/src/Juvix/Compiler/Core/Data/TransformationId/Parser.hs
+++ b/src/Juvix/Compiler/Core/Data/TransformationId/Parser.hs
@ -86,6 +86,7 @@ transformationText = \case
  LambdaFolding -> strLambdaFolding
  LetHoisting -> strLetHoisting
  Inlining -> strInlining
+  MandatoryInlining -> strMandatoryInlining
  FoldTypeSynonyms -> strFoldTypeSynonyms
  CaseCallLifting -> strCaseCallLifting
  SimplifyIfs -> strSimplifyIfs
@ -191,6 +192,9 @@ strLambdaFolding = "lambda-folding"
 strInlining :: Text
 strInlining = "inlining"

+strMandatoryInlining :: Text
+strMandatoryInlining = "mandatory-inlining"
+
 strFoldTypeSynonyms :: Text
 strFoldTypeSynonyms = "fold-type-synonyms"

--- a/src/Juvix/Compiler/Core/Evaluator.hs
+++ b/src/Juvix/Compiler/Core/Evaluator.hs
@ -89,7 +89,7 @@ geval opts herr ctx env0 = eval' env0
          Closure env' (NLam (Lambda i' bi b)) ->
            let !v = eval' env r in evalBody i' bi env' v b
          lv
-            | opts ^. evalOptionsNormalize ->
+            | opts ^. evalOptionsNormalize || opts ^. evalOptionsNoFailure ->
                let !v = eval' env r in goNormApp i lv v
            | otherwise ->
                evalError "invalid application" (mkApp i lv (substEnv env r))
@ -106,7 +106,7 @@ geval opts herr ctx env0 = eval' env0
          NCtr (Constr _ tag args) ->
            branch n env args tag def bs
          v'
-            | opts ^. evalOptionsNormalize ->
+            | opts ^. evalOptionsNormalize || opts ^. evalOptionsNoFailure ->
                goNormCase env i sym v' bs def
            | otherwise ->
                evalError "matching on non-data" (substEnv env (mkCase i sym v' bs def))
@ -214,7 +214,7 @@ geval opts herr ctx env0 = eval' env0
                (Just v1, Just v2) ->
                  toNode (v1 `op` v2)
                _
-                  | opts ^. evalOptionsNormalize ->
+                  | opts ^. evalOptionsNormalize || opts ^. evalOptionsNoFailure ->
                      mkBuiltinApp' opcode [vl, vr]
                  | otherwise ->
                      evalError "wrong operand type" n
--- a/src/Juvix/Compiler/Core/Extra/Utils.hs
+++ b/src/Juvix/Compiler/Core/Extra/Utils.hs
@ -144,6 +144,9 @@ nodeIdents f = ufoldA reassemble go
      NIdt i -> NIdt <$> f i
      n -> pure n

+getInductives :: Node -> HashSet Symbol
+getInductives n = HashSet.fromList (n ^.. nodeInductives)
+
 nodeInductives :: Traversal' Node Symbol
 nodeInductives f = ufoldA reassemble go
  where
@ -151,6 +154,19 @@ nodeInductives f = ufoldA reassemble go
      NTyp ty -> NTyp <$> traverseOf typeConstrSymbol f ty
      n -> pure n

+getSymbols :: InfoTable -> Node -> HashSet Symbol
+getSymbols tab = gather go mempty
+  where
+    go :: HashSet Symbol -> Node -> HashSet Symbol
+    go acc = \case
+      NTyp TypeConstr {..} -> HashSet.insert _typeConstrSymbol acc
+      NIdt Ident {..} -> HashSet.insert _identSymbol acc
+      NCase Case {..} -> HashSet.insert _caseInductive acc
+      NCtr Constr {..}
+        | Just ci <- lookupConstructorInfo' tab _constrTag ->
+            HashSet.insert (ci ^. constructorInductive) acc
+      _ -> acc
+
 -- | Prism for NRec
 _NRec :: SimpleFold Node LetRec
 _NRec f = \case
--- a/src/Juvix/Compiler/Core/Transformation.hs
+++ b/src/Juvix/Compiler/Core/Transformation.hs
@ -35,6 +35,7 @@ import Juvix.Compiler.Core.Transformation.Optimize.FilterUnreachable (filterUnre
 import Juvix.Compiler.Core.Transformation.Optimize.Inlining
 import Juvix.Compiler.Core.Transformation.Optimize.LambdaFolding
 import Juvix.Compiler.Core.Transformation.Optimize.LetFolding
+import Juvix.Compiler.Core.Transformation.Optimize.MandatoryInlining
 import Juvix.Compiler.Core.Transformation.Optimize.Phase.Eval qualified as Phase.Eval
 import Juvix.Compiler.Core.Transformation.Optimize.Phase.Exec qualified as Phase.Exec
 import Juvix.Compiler.Core.Transformation.Optimize.Phase.Geb qualified as Phase.Geb
@ -74,6 +75,7 @@ applyTransformations ts tbl = foldM (flip appTrans) tbl ts
      LambdaFolding -> return . lambdaFolding
      LetHoisting -> return . letHoisting
      Inlining -> inlining
+      MandatoryInlining -> return . mandatoryInlining
      FoldTypeSynonyms -> return . foldTypeSynonyms
      CaseCallLifting -> return . caseCallLifting
      SimplifyIfs -> return . simplifyIfs
--- a/src/Juvix/Compiler/Core/Transformation/LetHoisting.hs
+++ b/src/Juvix/Compiler/Core/Transformation/LetHoisting.hs
@ -1,4 +1,4 @@
-- Moves al let expressions at the top, just after the top lambdas. This
+-- Moves all let expressions at the top, just after the top lambdas. This
 -- transformation assumes:
 -- - There are no LetRecs, Lambdas (other than the ones at the top), nor Match.
 -- - Case nodes do not have binders.
--- a/src/Juvix/Compiler/Core/Transformation/Optimize/FilterUnreachable.hs
+++ b/src/Juvix/Compiler/Core/Transformation/Optimize/FilterUnreachable.hs
@ -5,10 +5,13 @@ import Juvix.Compiler.Core.Data.IdentDependencyInfo
 import Juvix.Compiler.Core.Transformation.Base

 filterUnreachable :: InfoTable -> InfoTable
-filterUnreachable tab = pruneInfoTable $ over infoIdentifiers goFilter tab
+filterUnreachable tab =
+  pruneInfoTable $
+    over infoInductives goFilter $
+      over infoIdentifiers goFilter tab
  where
-    depInfo = createIdentDependencyInfo tab
+    depInfo = createSymbolDependencyInfo tab

-    goFilter :: HashMap Symbol IdentifierInfo -> HashMap Symbol IdentifierInfo
-    goFilter idents =
-      HashMap.filterWithKey (\sym _ -> isReachable depInfo sym) idents
+    goFilter :: HashMap Symbol a -> HashMap Symbol a
+    goFilter =
+      HashMap.filterWithKey (\sym _ -> isReachable depInfo sym)
--- a/src/Juvix/Compiler/Core/Transformation/Optimize/Inlining.hs
+++ b/src/Juvix/Compiler/Core/Transformation/Optimize/Inlining.hs
@ -32,6 +32,8 @@ convertNode inlineDepth recSyms tab = dmapL go
                  Just (InlinePartiallyApplied k)
                    | length args >= k ->
                        mkApps def args
+                  Just InlineAlways ->
+                    mkApps def args
                  Just InlineNever ->
                    node
                  _
@ -48,6 +50,17 @@ convertNode inlineDepth recSyms tab = dmapL go
                  def = lookupIdentifierNode tab _identSymbol
              _ ->
                node
+      NIdt Ident {..} ->
+        case pi of
+          Just InlineFullyApplied | argsNum == 0 -> def
+          Just (InlinePartiallyApplied 0) -> def
+          Just InlineAlways -> def
+          _ -> node
+        where
+          ii = lookupIdentifierInfo tab _identSymbol
+          pi = ii ^. identifierPragmas . pragmasInline
+          argsNum = ii ^. identifierArgsNum
+          def = lookupIdentifierNode tab _identSymbol
      -- inline zero-argument definitions automatically if inlining would result
      -- in case reduction
      NCase cs@Case {..} -> case _caseValue of
--- a/src/Juvix/Compiler/Core/Transformation/Optimize/MandatoryInlining.hs
+++ b/src/Juvix/Compiler/Core/Transformation/Optimize/MandatoryInlining.hs
@ -0,0 +1,18 @@
+module Juvix.Compiler.Core.Transformation.Optimize.MandatoryInlining where
+
+import Juvix.Compiler.Core.Extra
+import Juvix.Compiler.Core.Transformation.Base
+
+convertNode :: InfoTable -> Node -> Node
+convertNode tab = dmap go
+  where
+    go :: Node -> Node
+    go node = case node of
+      NIdt Ident {..}
+        | Just InlineAlways <- lookupIdentifierInfo tab _identSymbol ^. identifierPragmas . pragmasInline ->
+            lookupIdentifierNode tab _identSymbol
+      _ ->
+        node
+
+mandatoryInlining :: InfoTable -> InfoTable
+mandatoryInlining tab = mapAllNodes (convertNode tab) tab
--- a/src/Juvix/Compiler/Core/Transformation/Optimize/Phase/Eval.hs
+++ b/src/Juvix/Compiler/Core/Transformation/Optimize/Phase/Eval.hs
@ -1,11 +1,15 @@
 module Juvix.Compiler.Core.Transformation.Optimize.Phase.Eval where

-import Juvix.Compiler.Core.Options
 import Juvix.Compiler.Core.Transformation.Base
+import Juvix.Compiler.Core.Transformation.Optimize.CaseFolding
 import Juvix.Compiler.Core.Transformation.Optimize.LambdaFolding
 import Juvix.Compiler.Core.Transformation.Optimize.LetFolding
+import Juvix.Compiler.Core.Transformation.Optimize.MandatoryInlining

-optimize :: (Member (Reader CoreOptions) r) => InfoTable -> Sem r InfoTable
+optimize :: InfoTable -> Sem r InfoTable
 optimize =
-  withOptimizationLevel 1 $
-    return . letFolding . lambdaFolding
+  return
+    . caseFolding
+    . letFolding
+    . lambdaFolding
+    . mandatoryInlining
--- a/src/Juvix/Compiler/Core/Transformation/UnrollRecursion.hs
+++ b/src/Juvix/Compiler/Core/Transformation/UnrollRecursion.hs
@ -13,7 +13,7 @@ unrollRecursion tab = do
  (mp, tab') <-
    runState @(HashMap Symbol Symbol) mempty $
      execInfoTableBuilder tab $
-        forM_ (buildSCCs (createIdentDependencyInfo tab)) goSCC
+        forM_ (buildSCCs (createCallGraph tab)) goSCC
  return $ mapIdentSymbols mp $ pruneInfoTable tab'
  where
    mapIdentSymbols :: HashMap Symbol Symbol -> InfoTable -> InfoTable
--- a/src/Juvix/Compiler/Internal/Extra.hs
+++ b/src/Juvix/Compiler/Internal/Extra.hs
@ -93,7 +93,7 @@ genFieldProjection _funDefName info fieldIx = do
        _funDefTerminating = False,
        _funDefInstance = False,
        _funDefBuiltin = Nothing,
-        _funDefPragmas = mempty,
+        _funDefPragmas = mempty {_pragmasInline = Just InlineAlways},
        _funDefBody = body',
        _funDefType = foldFunType (inductiveArgs ++ [saturatedTy]) retTy,
        ..
--- a/src/Juvix/Data/Pragmas.hs
+++ b/src/Juvix/Data/Pragmas.hs
@ -5,7 +5,8 @@ import Juvix.Data.Yaml
 import Juvix.Prelude.Base

 data PragmaInline
-  = InlineNever
+  = InlineAlways
+  | InlineNever
  | InlineFullyApplied
  | InlinePartiallyApplied {_pragmaInlineArgsNum :: Int}
  deriving stock (Show, Eq, Ord, Data, Generic)
@ -116,7 +117,7 @@ instance FromJSON Pragmas where
        return Pragmas {..}

      parseInline :: Parse YamlError PragmaInline
-      parseInline = parseInlineArgsNum Aeson.<|> parseInlineBool
+      parseInline = parseInlineArgsNum Aeson.<|> parseInlineBool Aeson.<|> parseInlineAlwaysNever
        where
          parseInlineArgsNum :: Parse YamlError PragmaInline
          parseInlineArgsNum = do
@ -128,6 +129,14 @@ instance FromJSON Pragmas where
            b <- asBool
            (if b then return InlineFullyApplied else return InlineNever)

+          parseInlineAlwaysNever :: Parse YamlError PragmaInline
+          parseInlineAlwaysNever = do
+            txt <- asText
+            case txt of
+              "always" -> return InlineAlways
+              "never" -> return InlineNever
+              _ -> throwCustomError ("unrecognized inline specification: " <> txt)
+
      parseUnroll :: Parse YamlError PragmaUnroll
      parseUnroll = do
        _pragmaUnrollDepth <- asIntegral
@ -209,6 +218,7 @@ instance Monoid Pragmas where
 adjustPragmaInline :: Int -> PragmaInline -> PragmaInline
 adjustPragmaInline n = \case
  InlinePartiallyApplied k -> InlinePartiallyApplied (k + n)
+  InlineAlways -> InlineAlways
  InlineNever -> InlineNever
  InlineFullyApplied -> InlineFullyApplied

--- a/test/Core/Transformation/Unrolling.hs
+++ b/test/Core/Transformation/Unrolling.hs
@ -44,5 +44,5 @@ liftTest _testEval =
 checkNoRecursion :: InfoTable -> Assertion
 checkNoRecursion tab =
  when
-    (isCyclic (createIdentDependencyInfo tab))
+    (isCyclic (createCallGraph tab))
    (assertFailure "recursion detected")
--- a/tests/Compilation/positive/test006.juvix
+++ b/tests/Compilation/positive/test006.juvix
@ -2,7 +2,6 @@
 module test006;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 loop : Nat := loop;
--- a/tests/Compilation/positive/test012.juvix
+++ b/tests/Compilation/positive/test012.juvix
@ -2,7 +2,6 @@
 module test012;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 type Tree :=
  | leaf : Tree
--- a/tests/Compilation/positive/test013.juvix
+++ b/tests/Compilation/positive/test013.juvix
@ -2,7 +2,6 @@
 module test013;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 f : Nat → Nat → Nat
  | x :=
--- a/tests/Compilation/positive/test015.juvix
+++ b/tests/Compilation/positive/test015.juvix
@ -2,7 +2,6 @@
 module test015;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 f : Nat → Nat → Nat
--- a/tests/Compilation/positive/test020.juvix
+++ b/tests/Compilation/positive/test020.juvix
@ -2,7 +2,6 @@
 module test020;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 -- McCarthy's 91 function
 terminating
--- a/tests/Compilation/positive/test021.juvix
+++ b/tests/Compilation/positive/test021.juvix
@ -2,7 +2,6 @@
 module test021;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 power' : Nat → Nat → Nat → Nat
--- a/tests/Compilation/positive/test022.juvix
+++ b/tests/Compilation/positive/test022.juvix
@ -2,7 +2,6 @@
 module test022;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 gen : Nat → List Nat
  | zero := nil
--- a/tests/Compilation/positive/test023.juvix
+++ b/tests/Compilation/positive/test023.juvix
@ -2,11 +2,10 @@
 module test023;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 f : Nat → Nat
-  
+
  | x := if (x < 1) 1 (2 * x + g (sub x 1));

 terminating
--- a/tests/Compilation/positive/test025.juvix
+++ b/tests/Compilation/positive/test025.juvix
@ -2,7 +2,6 @@
 module test025;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 gcd : Nat → Nat → Nat
--- a/tests/Compilation/positive/test028.juvix
+++ b/tests/Compilation/positive/test028.juvix
@ -2,7 +2,6 @@
 module test028;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 type Stream :=
  | cons : Nat → (Unit → Stream) → Stream;
--- a/tests/Compilation/positive/test032.juvix
+++ b/tests/Compilation/positive/test032.juvix
@ -2,7 +2,6 @@
 module test032;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 split : {A : Type} → Nat → List A → List A × List A
  | zero xs := nil, xs
--- a/tests/Compilation/positive/test034.juvix
+++ b/tests/Compilation/positive/test034.juvix
@ -2,7 +2,6 @@
 module test034;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 sum : Nat → Nat :=
  let
--- a/tests/Compilation/positive/test049.juvix
+++ b/tests/Compilation/positive/test049.juvix
@ -1,9 +1,7 @@
 -- Builtin Int
 module test049;

-import Stdlib.Prelude open hiding {+; *; div; mod};
-import Stdlib.Data.Int.Ord open;
-import Stdlib.Data.Int open;
+import Stdlib.Prelude open;

 f : Int -> Nat
  | (negSuc n) := n
@ -23,8 +21,8 @@ main : IO :=
    >> printBoolLn (-1 == -2)
    >> printBoolLn (-1 == -1)
    >> printBoolLn (1 == 1)
-    >> printBoolLn (-1 == 1)
-    >> printIntLn (-1 + 1)
+    >> printBoolLn (-1 == ofNat 1)
+    >> printIntLn (-1 + ofNat 1)
    >> printIntLn (negNat (suc zero))
    >> printIntLn
      (let
@ -35,9 +33,9 @@ main : IO :=
      (let
        g : Int -> Int := neg;
      in g -1)
-    >> printIntLn (-2 * 2)
-    >> printIntLn (div 4 -2)
-    >> printIntLn (2 - 2)
+    >> printIntLn (-2 * ofNat 2)
+    >> printIntLn (div (ofNat 4) -2)
+    >> printIntLn (ofNat 2 - ofNat 2)
    >> printBoolLn (nonNeg 0)
    >> printBoolLn (nonNeg -1)
    >> printIntLn (mod -5 -2)
@ -45,5 +43,5 @@ main : IO :=
    >> printBoolLn (0 <= 0)
    >> printBoolLn (0 < 1)
    >> printBoolLn (1 <= 0)
-    >> printIntLn (mod 5 -3)
-    >> printIntLn (div 5 -3);
+    >> printIntLn (mod (ofNat 5) -3)
+    >> printIntLn (div (ofNat 5) -3);
--- a/tests/Compilation/positive/test050.juvix
+++ b/tests/Compilation/positive/test050.juvix
@ -1,13 +1,11 @@
 -- Pattern matching with integers
 module test050;

-import Stdlib.Prelude open hiding {+; *; div; mod};
-import Stdlib.Data.Int.Ord open;
-import Stdlib.Data.Int open;
+import Stdlib.Prelude open;

 f : Int -> Int
  | (negSuc zero) := ofNat 0
  | (negSuc m@(suc n)) := ofNat n + ofNat m
-  | (ofNat n) := neg (ofNat n - 7);
+  | (ofNat n) := neg (ofNat n - ofNat 7);

 main : Int := f -10 - f 1 + f -1;
--- a/tests/Geb/positive/Compilation/test010.juvix
+++ b/tests/Geb/positive/Compilation/test010.juvix
@ -2,7 +2,6 @@
 module test010;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 f : Nat → Nat → Nat
  | x :=
--- a/tests/Geb/positive/Compilation/test012.juvix
+++ b/tests/Geb/positive/Compilation/test012.juvix
@ -2,7 +2,6 @@
 module test012;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 pow0 : Nat := 1;

--- a/tests/Geb/positive/Compilation/test016.juvix
+++ b/tests/Geb/positive/Compilation/test016.juvix
@ -2,7 +2,6 @@
 module test016;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 f : Nat → Nat → Nat
--- a/tests/Geb/positive/Compilation/test020.juvix
+++ b/tests/Geb/positive/Compilation/test020.juvix
@ -2,7 +2,6 @@
 module test020;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 f91 : Nat → Nat
--- a/tests/Geb/positive/Compilation/test021.juvix
+++ b/tests/Geb/positive/Compilation/test021.juvix
@ -2,7 +2,6 @@
 module test021;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 power' : Nat → Nat → Nat → Nat
--- a/tests/Geb/positive/Compilation/test022.juvix
+++ b/tests/Geb/positive/Compilation/test022.juvix
@ -2,11 +2,9 @@
 module test022;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 f : Nat → Nat
-  
  | x := if (x < 1) 1 (2 * x + g (sub x 1));

 terminating
--- a/tests/Geb/positive/Compilation/test023.juvix
+++ b/tests/Geb/positive/Compilation/test023.juvix
@ -2,7 +2,6 @@
 module test023;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 gcd : Nat → Nat → Nat
--- a/tests/Geb/positive/Compilation/test025.juvix
+++ b/tests/Geb/positive/Compilation/test025.juvix
@ -2,7 +2,6 @@
 module test025;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 pow : Nat -> Nat
  | zero := 1
--- a/tests/Geb/positive/Compilation/test026.juvix
+++ b/tests/Geb/positive/Compilation/test026.juvix
@ -2,7 +2,6 @@
 module test026;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 sum : Nat → Nat :=
  let
--- a/tests/Internal/Core/positive/test006.juvix
+++ b/tests/Internal/Core/positive/test006.juvix
@ -1,7 +1,6 @@
 module test006;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 loop : Nat := loop;
--- a/tests/Internal/Core/positive/test011.juvix
+++ b/tests/Internal/Core/positive/test011.juvix
@ -1,7 +1,6 @@
 module test011;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 fib' : Nat -> Nat -> Nat -> Nat
  | zero x _ := x
--- a/tests/Internal/positive/QuickSort.juvix
+++ b/tests/Internal/positive/QuickSort.juvix
@ -1,7 +1,6 @@
 module QuickSort;

 import Stdlib.Prelude open hiding {quickSort};
-import Stdlib.Data.Nat.Ord open;

 qsHelper : {A : Type} → A → List A × List A → List A
  | a (l, r) := l ++ (a :: nil) ++ r;
@ -40,6 +39,5 @@ four : Nat := suc three;

 main : List Nat :=
  uniq
-    compare
-    (quickSort compare (flatten (gen2 three four nil)));
-
+    Ord.cmp
+    (quickSort Ord.cmp (flatten (gen2 three four nil)));
--- a/tests/VampIR/negative/test001.juvix
+++ b/tests/VampIR/negative/test001.juvix
@ -1,7 +1,6 @@
 module test001;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 {-# argnames: [a, b
                c] #-}
--- a/tests/VampIR/positive/Compilation/test001.juvix
+++ b/tests/VampIR/positive/Compilation/test001.juvix
@ -2,7 +2,6 @@
 module test001;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 main : Nat -> Nat
  | x := if (x == 0) 1 0;
--- a/tests/VampIR/positive/Compilation/test002.juvix
+++ b/tests/VampIR/positive/Compilation/test002.juvix
@ -2,7 +2,6 @@
 module test002;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 type optbool :=
  | Just : Bool -> optbool
--- a/tests/VampIR/positive/Compilation/test003.juvix
+++ b/tests/VampIR/positive/Compilation/test003.juvix
@ -2,7 +2,6 @@
 module test003;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 type enum :=
  | opt0 : enum
--- a/tests/VampIR/positive/Compilation/test006.juvix
+++ b/tests/VampIR/positive/Compilation/test006.juvix
@ -2,7 +2,6 @@
 module test006;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 type enum :=
  | opt0 : enum
--- a/tests/VampIR/positive/Compilation/test008.juvix
+++ b/tests/VampIR/positive/Compilation/test008.juvix
@ -2,7 +2,6 @@
 module test008;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 f : Nat → Nat → Nat
  | x :=
--- a/tests/VampIR/positive/Compilation/test010.juvix
+++ b/tests/VampIR/positive/Compilation/test010.juvix
@ -2,7 +2,6 @@
 module test010;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 pow0 : Nat := 1;

--- a/tests/VampIR/positive/Compilation/test017.juvix
+++ b/tests/VampIR/positive/Compilation/test017.juvix
@ -2,7 +2,6 @@
 module test017;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 {-# unroll: 11 #-}
 terminating
--- a/tests/VampIR/positive/Compilation/test018.juvix
+++ b/tests/VampIR/positive/Compilation/test018.juvix
@ -2,7 +2,6 @@
 module test018;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 pow : Nat -> Nat
  | zero := 1
--- a/tests/VampIR/positive/Compilation/test021.juvix
+++ b/tests/VampIR/positive/Compilation/test021.juvix
@ -2,7 +2,6 @@
 module test021;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 power : Nat → Nat → Nat :=
  let
--- a/tests/VampIR/positive/Compilation/test022.juvix
+++ b/tests/VampIR/positive/Compilation/test022.juvix
@ -2,7 +2,6 @@
 module test022;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 power : Nat → Nat → Nat :=
  let
--- a/tests/VampIR/positive/Compilation/test023.juvix
+++ b/tests/VampIR/positive/Compilation/test023.juvix
@ -2,7 +2,6 @@
 module test023;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 main : Nat → Nat → Nat
  | x y :=
--- a/tests/benchmark/ackermann/juvix/ackermann.juvix
+++ b/tests/benchmark/ackermann/juvix/ackermann.juvix
@ -2,7 +2,6 @@
 module ackermann;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 iter : {A : Type} → (A → A) → Nat → A → A
  | f zero := id
--- a/tests/benchmark/combinations/juvix/combinations.juvix
+++ b/tests/benchmark/combinations/juvix/combinations.juvix
@ -2,7 +2,6 @@
 module combinations;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 terminating
 go : Nat → Nat → Nat
--- a/tests/benchmark/cps/juvix/cps.juvix
+++ b/tests/benchmark/cps/juvix/cps.juvix
@ -2,7 +2,6 @@
 module cps;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 step : Nat → Nat → Nat → (Nat → Nat → Nat → Nat) → Nat
  | zero n _ _ := n
--- a/tests/benchmark/fibonacci/juvix/fibonacci.juvix
+++ b/tests/benchmark/fibonacci/juvix/fibonacci.juvix
@ -2,7 +2,6 @@
 module fibonacci;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 go : Nat → Nat → Nat → Nat
  | zero n _ := n
--- a/tests/benchmark/fold/juvix/fold.juvix
+++ b/tests/benchmark/fold/juvix/fold.juvix
@ -2,7 +2,6 @@
 module fold;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 plusMod : Nat → Nat → Nat
  | x y := mod (x + y) 268435456;
--- a/tests/benchmark/mapfold/juvix/mapfold.juvix
+++ b/tests/benchmark/mapfold/juvix/mapfold.juvix
@ -2,7 +2,6 @@
 module mapfold;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 run : Nat → Nat → List Nat → Nat
  | zero acc lst := acc
--- a/tests/benchmark/maybe/juvix/maybe.juvix
+++ b/tests/benchmark/maybe/juvix/maybe.juvix
@ -2,7 +2,6 @@
 module maybe;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 type Tree :=
  | leaf : Tree
--- a/tests/benchmark/mergesort/juvix/mergesort.juvix
+++ b/tests/benchmark/mergesort/juvix/mergesort.juvix
@ -2,7 +2,6 @@
 module mergesort;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 split_go
  : {A : Type} → List A → List A → List A → List A × List A
--- a/tests/benchmark/prime/juvix/prime.juvix
+++ b/tests/benchmark/prime/juvix/prime.juvix
@ -2,7 +2,6 @@
 module prime;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 checkDivisible : Nat → List Nat → Bool
  | p nil := false
--- a/tests/positive/Format.juvix
+++ b/tests/positive/Format.juvix
@ -12,8 +12,6 @@ hiding -- Hide some names
 -- Bool either
 Bool; true; false; mkShow; module Show};

-import Stdlib.Data.Nat.Ord open;
-
 -- Lorem ipsum dolor sit amet, consectetur adipiscing elit
 terminating
 -- Comment between terminating and type sig
--- a/tests/positive/issue1731/builtinTrace.juvix
+++ b/tests/positive/issue1731/builtinTrace.juvix
@ -1,7 +1,6 @@
 module builtinTrace;

 import Stdlib.Prelude open;
-import Stdlib.Data.Nat.Ord open;

 builtin trace
 axiom trace : {A : Type} → A → A;
--- a/tests/smoke/Commands/dev/core.smoke.yaml
+++ b/tests/smoke/Commands/dev/core.smoke.yaml
@ -62,6 +62,7 @@ tests:
      - dev
      - core
      - from-concrete
+      - -t eta-expand-apps
      - --normalize
    args:
      - positive/Internal/Norm.juvix
--- a/tests/smoke/Commands/repl.smoke.yaml
+++ b/tests/smoke/Commands/repl.smoke.yaml
@ -74,11 +74,7 @@ tests:
    stdin: ":def + (+) (((+)))"
    stdout:
      contains: |
-        --- Addition for ;Nat;s.
-        builtin nat-plus
-        + : Nat → Nat → Nat
-          | zero b := b
-          | (suc a) b := suc (a + b)
+        + {A} {{Natural A}} : A -> A -> A := Natural.+
    exit-status: 0

  - name: repl-def-infix
@ -89,11 +85,7 @@ tests:
    stdin: ":def +"
    stdout:
      contains: |
-        --- Addition for ;Nat;s.
-        builtin nat-plus
-        + : Nat → Nat → Nat
-          | zero b := b
-          | (suc a) b := suc (a + b)
+        + {A} {{Natural A}} : A -> A -> A := Natural.+
    exit-status: 0

  - name: open
@ -454,7 +446,7 @@ tests:
    command:
      - juvix
      - repl
-    stdin: "import Stdlib.Data.Int.Ord as Int open\n1 == 1"
+    stdin: "import Stdlib.Data.Int.Ord as Int open\n1 Int.== 1"
    stdout:
      contains: "true"
    exit-status: 0
@ -463,9 +455,9 @@ tests:
    command:
      - juvix
      - repl
-    stdin: "import Stdlib.Data.Int.Ord open\n1 == 1"
+    stdin: "import Stdlib.Data.Int.Ord open\ncompare 1 1"
    stdout:
-      contains: "true"
+      contains: "EQ"
    exit-status: 0

  - name: infix-constructors