diff --git a/src/ImageSharp/Common/Helpers/Numerics.cs b/src/ImageSharp/Common/Helpers/Numerics.cs
index ba5c588ca..9dc13079d 100644
--- a/src/ImageSharp/Common/Helpers/Numerics.cs
+++ b/src/ImageSharp/Common/Helpers/Numerics.cs
@@ -820,6 +820,21 @@ namespace SixLabors.ImageSharp
             }
         }
 
+        /// <summary>
+        /// Reduces elements of the vector into one sum.
+        /// </summary>
+        /// <param name="accumulator">The accumulator to reduce.</param>
+        /// <returns>The sum of all elements.</returns>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static int ReduceSum(Vector256<int> accumulator)
+        {
+            Vector128<int> vec0 = Avx2.ExtractVector128(accumulator, 0);
+            Vector128<int> vec1 = Avx2.ExtractVector128(accumulator, 1);
+            Vector128<int> sum128 = Sse2.Add(vec0, vec1);
+
+            return ReduceSum(sum128);
+        }
+
         /// <summary>
         /// Reduces even elements of the vector into one sum.
         /// </summary>
diff --git a/src/ImageSharp/Formats/Webp/Lossless/LosslessUtils.cs b/src/ImageSharp/Formats/Webp/Lossless/LosslessUtils.cs
index 0f24e8e8f..314f26d64 100644
--- a/src/ImageSharp/Formats/Webp/Lossless/LosslessUtils.cs
+++ b/src/ImageSharp/Formats/Webp/Lossless/LosslessUtils.cs
@@ -2,6 +2,7 @@
 // Licensed under the Apache License, Version 2.0.
 
 using System;
+using System.Numerics;
 using System.Runtime.CompilerServices;
 using System.Runtime.InteropServices;
 using SixLabors.ImageSharp.Memory;
@@ -760,29 +761,30 @@ namespace SixLabors.ImageSharp.Formats.Webp.Lossless
         public static float CombinedShannonEntropy(Span<int> x, Span<int> y)
         {
 #if SUPPORTS_RUNTIME_INTRINSICS
-            if (Sse41.IsSupported)
+            if (Avx2.IsSupported)
             {
                 double retVal = 0.0d;
-                Span<int> tmp = stackalloc int[4];
+                Span<int> tmp = stackalloc int[8];
                 ref int xRef = ref MemoryMarshal.GetReference(x);
                 ref int yRef = ref MemoryMarshal.GetReference(y);
-                Vector128<int> sumXY128 = Vector128<int>.Zero;
-                Vector128<int> sumX128 = Vector128<int>.Zero;
+                Vector256<int> sumXY256 = Vector256<int>.Zero;
+                Vector256<int> sumX256 = Vector256<int>.Zero;
                 ref int tmpRef = ref MemoryMarshal.GetReference(tmp);
-                for (int i = 0; i < 256; i += 4)
+                for (nint i = 0; i < 256; i += 8)
                 {
-                    Vector128<int> xVec = Unsafe.As<int, Vector128<int>>(ref Unsafe.Add(ref xRef, i));
-                    Vector128<int> yVec = Unsafe.As<int, Vector128<int>>(ref Unsafe.Add(ref yRef, i));
+                    Vector256<int> xVec = Unsafe.As<int, Vector256<int>>(ref Unsafe.Add(ref xRef, i));
+                    Vector256<int> yVec = Unsafe.As<int, Vector256<int>>(ref Unsafe.Add(ref yRef, i));
 
                     // Check if any X is non-zero: this actually provides a speedup as X is usually sparse.
-                    if (Sse2.MoveMask(Sse2.CompareEqual(xVec, Vector128<int>.Zero).AsByte()) != 0xFFFF)
+                    int mask = Avx2.MoveMask(Avx2.CompareEqual(xVec, Vector256<int>.Zero).AsByte());
+                    if (mask != -1)
                     {
-                        Vector128<int> xy128 = Sse2.Add(xVec, yVec);
-                        sumXY128 = Sse2.Add(sumXY128, xy128);
-                        sumX128 = Sse2.Add(sumX128, xVec);
+                        Vector256<int> xy256 = Avx2.Add(xVec, yVec);
+                        sumXY256 = Avx2.Add(sumXY256, xy256);
+                        sumX256 = Avx2.Add(sumX256, xVec);
 
                         // Analyze the different X + Y.
-                        Unsafe.As<int, Vector128<int>>(ref tmpRef) = xy128;
+                        Unsafe.As<int, Vector256<int>>(ref tmpRef) = xy256;
                         if (tmpRef != 0)
                         {
                             retVal -= FastSLog2((uint)tmpRef);
@@ -818,11 +820,47 @@ namespace SixLabors.ImageSharp.Formats.Webp.Lossless
                                 retVal -= FastSLog2((uint)Unsafe.Add(ref xRef, i + 3));
                             }
                         }
+
+                        if (Unsafe.Add(ref tmpRef, 4) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref tmpRef, 4));
+                            if (Unsafe.Add(ref xRef, i + 4) != 0)
+                            {
+                                retVal -= FastSLog2((uint)Unsafe.Add(ref xRef, i + 4));
+                            }
+                        }
+
+                        if (Unsafe.Add(ref tmpRef, 5) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref tmpRef, 5));
+                            if (Unsafe.Add(ref xRef, i + 5) != 0)
+                            {
+                                retVal -= FastSLog2((uint)Unsafe.Add(ref xRef, i + 5));
+                            }
+                        }
+
+                        if (Unsafe.Add(ref tmpRef, 6) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref tmpRef, 6));
+                            if (Unsafe.Add(ref xRef, i + 6) != 0)
+                            {
+                                retVal -= FastSLog2((uint)Unsafe.Add(ref xRef, i + 6));
+                            }
+                        }
+
+                        if (Unsafe.Add(ref tmpRef, 7) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref tmpRef, 7));
+                            if (Unsafe.Add(ref xRef, i + 7) != 0)
+                            {
+                                retVal -= FastSLog2((uint)Unsafe.Add(ref xRef, i + 7));
+                            }
+                        }
                     }
                     else
                     {
                         // X is fully 0, so only deal with Y.
-                        sumXY128 = Sse2.Add(sumXY128, yVec);
+                        sumXY256 = Avx2.Add(sumXY256, yVec);
 
                         if (Unsafe.Add(ref yRef, i) != 0)
                         {
@@ -843,19 +881,32 @@ namespace SixLabors.ImageSharp.Formats.Webp.Lossless
                         {
                             retVal -= FastSLog2((uint)Unsafe.Add(ref yRef, i + 3));
                         }
+
+                        if (Unsafe.Add(ref yRef, i + 4) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref yRef, i + 4));
+                        }
+
+                        if (Unsafe.Add(ref yRef, i + 5) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref yRef, i + 5));
+                        }
+
+                        if (Unsafe.Add(ref yRef, i + 6) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref yRef, i + 6));
+                        }
+
+                        if (Unsafe.Add(ref yRef, i + 7) != 0)
+                        {
+                            retVal -= FastSLog2((uint)Unsafe.Add(ref yRef, i + 7));
+                        }
                     }
                 }
 
-                // Sum up sumX_128 to get sumX and sum up sumXY_128 to get sumXY.
-                // note: not using here Numerics.ReduceSum, because grouping the same methods together should be slightly faster.
-                Vector128<int> haddSumX = Ssse3.HorizontalAdd(sumX128, sumX128);
-                Vector128<int> haddSumXY = Ssse3.HorizontalAdd(sumXY128, sumXY128);
-                Vector128<int> swappedSumX = Sse2.Shuffle(haddSumX, 0x1);
-                Vector128<int> swappedSumXY = Sse2.Shuffle(haddSumXY, 0x1);
-                Vector128<int> tmpSumX = Sse2.Add(haddSumX, swappedSumX);
-                Vector128<int> tmpSumXY = Sse2.Add(haddSumXY, swappedSumXY);
-                int sumX = Sse2.ConvertToInt32(tmpSumX);
-                int sumXY = Sse2.ConvertToInt32(tmpSumXY);
+                // Sum up sumX256 to get sumX and sum up sumXY256 to get sumXY.
+                int sumX = Numerics.ReduceSum(sumX256);
+                int sumXY = Numerics.ReduceSum(sumXY256);
 
                 retVal += FastSLog2((uint)sumX) + FastSLog2((uint)sumXY);