diff --git a/Data/SortedList.hs b/Data/SortedList.hs
--- a/Data/SortedList.hs
+++ b/Data/SortedList.hs
@@ -5,6 +5,8 @@
 --   with several functions to create and use values of that
 --   type. Many operations are optimized to take advantage
 --   of the list being sorted.
+--
+--   It is recommended to import this module qualified.
 module Data.SortedList (
     -- * Type
     SortedList
@@ -43,10 +45,12 @@
 #endif
   , elemOrd
   , findIndices
-    -- * @map@ function
+    -- * Functor functions
   , map
   , mapDec
-    -- * @traverse@ function
+    -- * Applicative functions
+  , liftA2
+    -- * Traversable functions
   , traverse
     -- * Unfolding
   , unfoldr
@@ -58,6 +62,10 @@
   , nub
   , intersect
   , union
+    -- * Unsafe
+  , unsafeToSortedList
+    -- * Testing
+  , isSorted
   ) where
 
 import Prelude hiding
@@ -68,7 +76,11 @@
 #if !MIN_VERSION_base(4,8,0)
   , foldr, foldl
 #endif
+#if MIN_VERSION_base(4,18,0)
+  , liftA2
+#endif
     )
+import qualified Prelude as Base
 import qualified Data.List as List
 import Control.DeepSeq (NFData (..))
 import Data.Foldable (Foldable (..), foldrM)
@@ -94,14 +106,39 @@
 #endif
 --
 #if !MIN_VERSION_base(4,18,0)
-import Control.Applicative (liftA2)
+import qualified Control.Applicative as Base
 #endif
+-- QuickCheck
+import Test.QuickCheck.Arbitrary (Arbitrary (..))
 
 -- | Type of sorted lists. Any (non-bottom) value of this type
 --   is a sorted list. Use the 'Monoid' instance to merge sorted
 --   lists.
 newtype SortedList a = SortedList [a] deriving (Eq, Ord)
 
+-- | Convert a regular list into a sorted list /without sorting it/.
+--   By using this function, /you/ are responsible of ensuring that the
+--   input is already sorted. If it's not, things will break badly.
+--
+--   @since 0.3.0.0
+unsafeToSortedList :: [a] -> SortedList a
+unsafeToSortedList = SortedList
+
+isListSorted :: Ord a => [a] -> Bool
+isListSorted xs =
+  case xs of
+    _ : txs -> and $ zipWith (<=) xs txs
+    _ -> True
+
+-- | Check whether a sorted list is sorted.
+--   Of course, this function should always return 'True'.
+--   It's used mostly for testing.
+--
+--   @since 0.3.0.0
+isSorted :: Ord a => SortedList a -> Bool
+{-# INLINE isSorted #-}
+isSorted (SortedList xs) = isListSorted xs
+
 instance Show a => Show (SortedList a) where
   show = show . fromSortedList
 
@@ -109,6 +146,11 @@
   {-# INLINE rnf #-}
   rnf (SortedList xs) = rnf xs
 
+-- | @since 0.3.0.0
+instance (Arbitrary a, Ord a) => Arbitrary (SortedList a) where
+  arbitrary = toSortedList <$> arbitrary
+  shrink (SortedList xs) = toSortedList <$> shrink xs
+
 #if MIN_VERSION_base(4,7,0)
 instance Ord a => Exts.IsList (SortedList a) where
   type (Item (SortedList a)) = a
@@ -213,11 +255,11 @@
 
 -- | /O(n)/. Insert a new element in a sorted list.
 insert :: Ord a => a -> SortedList a -> SortedList a
-#if MIN_VERSION_base(4,5,0)
-insert x xs = singleton x <> xs
-#else
-insert x xs = mappend (singleton x) xs
-#endif
+{-# INLINE insert #-}
+insert a (SortedList xs0) = SortedList $ go xs0
+  where
+    go [] = [a]
+    go l@(x:xs) = if a <= x then a : l else x : go xs
 
 -- | Delete the first occurrence of the given element.
 delete :: Ord a => a -> SortedList a -> SortedList a
@@ -370,13 +412,20 @@
 "SortedList:mapDec/id"  forall xs.     mapDec id xs = xs
   #-}
 
+-- | Like 'Base.liftA2', but for sorted lists, requiring an 'Ord' instance.
+--   The behavior is same as with lists, but with sorted results.
+--
+--   @since 0.3.1.0
+liftA2 :: Ord c => (a -> b -> c) -> SortedList a -> SortedList b -> SortedList c
+liftA2 f (SortedList xs) (SortedList ys) = toSortedList $ Base.liftA2 f xs ys
+
 -- | Traverse a sorted list with a function that returns in a monad.
 --   The same performance observations apply here as in 'map', as
 --   changing the values may involve reordering the list.
 --
 --   @since 0.2.3.0
 traverse :: (Monad m, Ord b) => (a -> m b) -> SortedList a -> m (SortedList b)
-traverse f = foldrM (\x xs -> liftA2 insert (f x) $ pure xs) mempty
+traverse f = foldrM (\x xs -> Base.liftA2 insert (f x) $ pure xs) mempty
 
 #if MIN_VERSION_base(4,6,0)
 
diff --git a/bench/map.hs b/bench/map.hs
--- a/bench/map.hs
+++ b/bench/map.hs
@@ -22,4 +22,6 @@
   , bench "increasing/mapDec" $ nf (SL.mapDec incf) list
   , bench "decreasing/map"    $ nf (SL.map    decf) list
   , bench "decreasing/mapDec" $ nf (SL.mapDec decf) list
+  , bench "insert"            $ nf (SL.insert 60) list
+  , bench "liftA2"            $ nf (\xs -> SL.liftA2 (+) xs xs) list
     ]
diff --git a/changelog.md b/changelog.md
--- a/changelog.md
+++ b/changelog.md
@@ -1,3 +1,13 @@
+## 0.3.1.0
+* Performance improvements.
+* Add function: `liftA2`.
+
+## 0.3.0.0
+* Add `Arbitrary` instance for `SortedList`.
+  This added a library dependency on QuickCheck.
+* Add function: `unsafeToSortedList`.
+* Add function: `isSorted`.
+
 ## 0.2.3.1
 * Extend support below base-4.18.
 
diff --git a/sorted-list.cabal b/sorted-list.cabal
--- a/sorted-list.cabal
+++ b/sorted-list.cabal
@@ -1,5 +1,5 @@
 name:                sorted-list
-version:             0.2.3.1
+version:             0.3.1.0
 synopsis:            Type-enforced sorted lists and related functions.
 description:         Type-enforced sorted lists and related functions.
                      .
@@ -34,11 +34,17 @@
 cabal-version:       1.18
 extra-doc-files:     readme.md, changelog.md
 
+source-repository head
+  type: git
+  location: https://codeberg.org/daniel-casanueva/sorted-list.git
+  branch: main
+
 library
   default-language:    Haskell2010
-  ghc-options:         -Wall
+  ghc-options:         -Wall -Wunused-packages
   build-depends:       base == 4.*
                ,       deepseq
+               ,       QuickCheck
   exposed-modules:     Data.SortedList
 
 benchmark sorted-list-map-bench
@@ -57,5 +63,4 @@
   hs-source-dirs: tests
   main-is: Main.hs
   ghc-options: -Wall
-  default-extensions: ImportQualifiedPost
   build-depends: base, sorted-list, QuickCheck
diff --git a/tests/Main.hs b/tests/Main.hs
--- a/tests/Main.hs
+++ b/tests/Main.hs
@@ -1,17 +1,12 @@
 
-{-# OPTIONS_GHC -Wno-orphans #-}
-
 module Main (main) where
 
 import Control.Monad (unless)
-import Test.QuickCheck
-  ( Testable, isSuccess, quickCheckResult
-  , Arbitrary, arbitrary
-    )
+import Test.QuickCheck (Testable, isSuccess, quickCheckResult)
 import System.Exit (exitFailure)
 import Data.SortedList (SortedList)
-import Data.SortedList qualified as SL
-import Data.List qualified as List
+import qualified Data.SortedList as SL
+import qualified Data.List as List
 
 -- | Test a property.
 quickCheck :: Testable prop => String -> prop -> IO ()
@@ -19,9 +14,6 @@
   putStrLn $ "Testing property: " ++ n
   r <- quickCheckResult p
   unless (isSuccess r) exitFailure
-
-instance (Arbitrary a, Ord a) => Arbitrary (SortedList a) where
-  arbitrary = SL.toSortedList <$> arbitrary
 
 applyAsList :: Ord a => ([a] -> [a]) -> SortedList a -> SortedList a
 applyAsList f = SL.toSortedList . f . SL.fromSortedList
