diff --git a/Categorifier/C/Hierarchy/Specialized.hs b/Categorifier/C/Hierarchy/Specialized.hs
new file mode 100644
index 0000000..8759533
--- /dev/null
+++ b/Categorifier/C/Hierarchy/Specialized.hs
@@ -0,0 +1,72 @@
+{-# LANGUAGE ApplicativeDo #-}
+{-# LANGUAGE StrictData #-}
+
+module Categorifier.C.Hierarchy.Specialized
+  ( cSpecializedHierarchy,
+  )
+where
+
+import Categorifier.Core.Types (CategoryStack, Lookup)
+import Categorifier.Hierarchy
+  ( Hierarchy (..),
+    emptyHierarchy,
+    identifier,
+    mkFunctionApps,
+  )
+
+-- | This hierarchy replaces some categorical operations with their specialized
+-- versions for `Categorifier.C.CExpr.Cat.Cat`. For example, `(.) $fCategoryCat`
+-- (which occurs quite often in the result) is replaced by `(.$)`, thereby significantly
+-- reduces common subexpressions.
+cSpecializedHierarchy :: Lookup (Hierarchy CategoryStack)
+cSpecializedHierarchy = do
+  kapplyV <-
+    pure <$> do
+      fn <- identifier' "applyCat"
+      pure (\onDict _cat a b -> mkFunctionApps onDict fn [a, b] [])
+  kapply2V <-
+    pure <$> do
+      fn <- identifier' "apply2Cat"
+      pure (\onDict _cat x a b f g -> mkFunctionApps onDict fn [x, a, b] [f, g])
+  kcomposeV <-
+    pure <$> do
+      fn <- identifier' ".$"
+      pure (\onDict _cat a b c -> mkFunctionApps onDict fn [b, c, a] [])
+  kcompose2V <-
+    pure <$> do
+      fn <- identifier' "compose2Cat"
+      pure (\onDict _cat x b c a f g -> mkFunctionApps onDict fn [x, b, c, a] [f, g])
+  kcurryV <-
+    pure <$> do
+      fn <- identifier' "curryCat"
+      pure (\onDict _cat a b c -> mkFunctionApps onDict fn [a, b, c] [])
+  kexlV <-
+    pure <$> do
+      fn <- identifier' "exlCat"
+      pure (\onDict _cat a b -> mkFunctionApps onDict fn [a, b] [])
+  kexrV <-
+    pure <$> do
+      fn <- identifier' "exrCat"
+      pure (\onDict _cat a b -> mkFunctionApps onDict fn [a, b] [])
+  kforkV <-
+    pure <$> do
+      fn <- identifier' "&&&$"
+      pure (\onDict _cat a b c -> mkFunctionApps onDict fn [a, b, c] [])
+  kuncurryV <-
+    pure <$> do
+      fn <- identifier' "uncurryCat"
+      pure (\onDict _cat a b c -> mkFunctionApps onDict fn [a, b, c] [])
+  pure
+    emptyHierarchy
+      { applyV = kapplyV,
+        apply2V = kapply2V,
+        composeV = kcomposeV,
+        compose2V = kcompose2V,
+        curryV = kcurryV,
+        exlV = kexlV,
+        exrV = kexrV,
+        forkV = kforkV,
+        uncurryV = kuncurryV
+      }
+  where
+    identifier' = identifier "Categorifier.C.CExpr.Cat"
diff --git a/categorifier-c.cabal b/categorifier-c.cabal
index 5c49fdb..1551a4d 100644
--- a/categorifier-c.cabal
+++ b/categorifier-c.cabal
@@ -47,6 +47,7 @@ library
       Categorifier.C.Graph
       Categorifier.C.Graph.Fold
       Categorifier.C.Graph.Reify
+      Categorifier.C.Hierarchy.Specialized
       Categorifier.C.KTypes.BooleanLogic
       Categorifier.C.KTypes.C
       Categorifier.C.KTypes.CExpr.Generate
@@ -125,6 +126,7 @@ library
     , categorifier-common
     , categorifier-concat-extensions-category
     , categorifier-duoids
+    , categorifier-plugin
     , categorifier-unconcat-category
     , concat-classes
     , connections