diff --git a/clash-prelude/src/Clash/Sized/RTree.hs b/clash-prelude/src/Clash/Sized/RTree.hs
index 3584ebbf1c..b2472d2d3d 100644
--- a/clash-prelude/src/Clash/Sized/RTree.hs
+++ b/clash-prelude/src/Clash/Sized/RTree.hs
@@ -17,15 +17,15 @@ Maintainer :  QBayLogic B.V. <devops@qbaylogic.com>
 
 {-# OPTIONS_GHC -fplugin GHC.TypeLits.Normalise -fplugin GHC.TypeLits.KnownNat.Solver #-}
 
-{-# OPTIONS_GHC -fno-warn-incomplete-patterns #-}
-
 module Clash.Sized.RTree
   ( -- * 'RTree' data type
-    RTree (LR, BR)
+    RTree (LR, BR, LR_, BR_)
     -- * Construction
   , treplicate
   , trepeat
     -- * Accessors
+  , thead
+  , tlast
     -- ** Indexing
   , indexTree
   , tindices
@@ -44,6 +44,8 @@ module Clash.Sized.RTree
     -- ** Specialised folds
   , tdfold
     -- ** Prefix sums (scans)
+  , tscanl
+  , tscanr
   , scanlPar
   , scanrPar
     -- * Conversions
@@ -63,9 +65,7 @@ import Data.Foldable               (toList)
 import Data.Kind                   (Type)
 import Data.Singletons             (Apply, TyFun, type (@@))
 import Data.Proxy                  (Proxy (..))
-import Data.Type.Equality          ((:~:) (..))
-import GHC.TypeLits                (KnownNat, Nat, type (+), type (^), type (*),
-                                    sameNat)
+import GHC.TypeLits                (KnownNat, Nat, type (+), type (^), type (*))
 import Language.Haskell.TH.Syntax  (Lift(..))
 #if MIN_VERSION_template_haskell(2,16,0)
 import Language.Haskell.TH.Compat
@@ -75,7 +75,7 @@ import Test.QuickCheck             (Arbitrary (..), CoArbitrary (..))
 
 import Clash.Annotations.Primitive (hasBlackBox)
 import Clash.Class.BitPack         (BitPack (..), packXWith)
-import Clash.Promoted.Nat          (SNat (..), SNatLE (..), UNat (..), compareSNat,
+import Clash.Promoted.Nat          (SNat (..), UNat (..),
                                     pow2SNat, snatToNum, subSNat, toUNat)
 import Clash.Promoted.Nat.Literals (d1)
 import Clash.Sized.Index           (Index)
@@ -553,13 +553,13 @@ lazyT = tzipWith (flip const) (trepeat ())
 -- The operator must be associative.
 --
 -- <<doc/scanlPar.svg>>
-scanlPar :: 
+scanlPar ::
   KnownNat n =>
   -- | Must be associative
   (a -> a -> a) ->
   Vec (2^n) a ->
   Vec (2^n) a
-scanlPar op v = scanlInductiveRTree op (v2t v)
+scanlPar op = t2v . tscanl op . v2t
 {-# INLINE scanlPar #-}
 
 -- | Low-depth (right) scan
@@ -568,47 +568,59 @@ scanlPar op v = scanlInductiveRTree op (v2t v)
 -- 10 :> 9 :> 7 :> 4 :> Nil
 --
 -- The operator must be associative.
-scanrPar :: 
+scanrPar ::
   KnownNat n =>
    -- | Must be associative
   (a -> a -> a) ->
   Vec (2^n) a ->
   Vec (2^n) a
-scanrPar op v = scanrInductiveRTree op (v2t v)
+scanrPar op = t2v . tscanr op . v2t
 {-# INLINE scanrPar #-}
 
-scanlInductiveRTree ::
+-- |
+--
+-- >>> thead $ BR (BR (LR 1) (LR 2)) (BR (LR 3) (LR 4))
+-- 1
+thead :: RTree n a -> a
+thead (LR_ x) = x
+thead (BR_ x _) = thead x
+
+-- |
+--
+-- >>> tlast $ BR (BR (LR 1) (LR 2)) (BR (LR 3) (LR 4))
+-- 4
+tlast :: RTree n a -> a
+tlast (LR_ x) = x
+tlast (BR_ _ y) = tlast y
+
+tscanl ::
   forall a n.
   KnownNat n =>
   (a -> a -> a) ->
   RTree n a ->
-  Vec (2^n) a
-scanlInductiveRTree op tr =
-  -- I have to use sameNat and compareSNat both; the type checker cannot infer
-  -- that n <= 0 means n ~ 0.
-  case (sameNat (Proxy @n) (Proxy @0), compareSNat (SNat @n) (SNat @0), tr) of
-    (Just Refl, _, LR x) -> x :> Nil
-    (_, SNatGT, BR x y) ->
-        let
-          x' = scanlInductiveRTree op x
-          y' = scanlInductiveRTree op y
-          l = x' !! (length x'-1) -- 'last' doesn't work here
-        in x' ++ map (l `op`) y'
-
-scanrInductiveRTree ::
+  RTree n a
+tscanl op tr =
+  case tr of
+    (LR_ x) -> LR x -- :> Nil
+    (BR_ x y) ->
+      let
+        x' = tscanl op x
+        y' = tscanl op y
+        l = tlast x'
+      in BR x' (fmap (l `op`) y')
+
+tscanr ::
   forall a n.
   KnownNat n =>
   (a -> a -> a) ->
   RTree n a ->
-  Vec (2^n) a
-scanrInductiveRTree op tr =
-  -- I have to use sameNat and compareSNat both; the type checker cannot infer
-  -- that n <= 0 means n ~ 0.
-  case (sameNat (Proxy @n) (Proxy @0), compareSNat (SNat @n) (SNat @0), tr) of
-    (Just Refl, _, LR x) -> x :> Nil
-    (_, SNatGT, BR x y) ->
+  RTree n a
+tscanr op tr =
+  case tr of
+    (LR_ x) -> LR x
+    (BR_ x y) ->
         let
-          x' = scanrInductiveRTree op x
-          y' = scanrInductiveRTree op y
-          l = y' !! (0::Int)  -- `head` doesn't work here
-        in map (l `op`) x' ++ y'
+          x' = tscanr op x
+          y' = tscanr op y
+          l = thead y'
+        in BR (fmap (l `op`) x') y'