diff --git a/ggml.c b/ggml.c
index 2ea4e68fd..814776381 100644
--- a/ggml.c
+++ b/ggml.c
@@ -450,6 +450,24 @@ static inline __m128i bytes_from_nibbles_16(const uint8_t * rsi)
     return bytes;
 }
 
+// horizontally add 8 floats
+static inline float hsum_float_8(const __m256 x) {
+    __m128 res = _mm256_extractf128_ps(x, 1);
+    res = _mm_add_ps(res, _mm256_castps256_ps128(x));
+    res = _mm_add_ps(res, _mm_movehl_ps(res, res));
+    res = _mm_add_ss(res, _mm_movehdup_ps(res));
+    return _mm_cvtss_f32(res);
+}
+
+// horizontally add 8 int32_t
+static inline int hsum_i32_8(const __m256i a) {
+    const __m128i sum128 = _mm_add_epi32(_mm256_castsi256_si128(a), _mm256_extractf128_si256(a, 1));
+    const __m128i hi64 = _mm_unpackhi_epi64(sum128, sum128);
+    const __m128i sum64 = _mm_add_epi32(hi64, sum128);
+    const __m128i hi32  = _mm_shuffle_epi32(sum64, _MM_SHUFFLE(2, 3, 0, 1));
+    return _mm_cvtsi128_si32(_mm_add_epi32(sum64, hi32));
+}
+
 #if __AVX2__ || __AVX512F__
 // Unpack 32 4-bit fields into 32 bytes
 // The output vector contains 32 bytes, each one in [ 0 .. 15 ] interval
@@ -470,6 +488,24 @@ static inline __m256i bytes_from_nibbles_32(const uint8_t * rsi)
     return bytes;
 }
 
+// add int16_t pairwise and return as float vector
+static inline __m256 sum_i16_pairs_float(const __m256i x) {
+    const __m256i ones = _mm256_set1_epi16(1);
+    const __m256i summed_pairs = _mm256_madd_epi16(ones, x);
+    return _mm256_cvtepi32_ps(summed_pairs);
+}
+
+// multiply int8_t, add results pairwise twice and return as float vector
+static inline __m256 mul_sum_i8_pairs_float(const __m256i x, const __m256i y) {
+    // Get absolute values of x vectors
+    const __m256i ax = _mm256_sign_epi8(x, x);
+    // Sign the values of the y vectors
+    const __m256i sy = _mm256_sign_epi8(y, x);
+    // Perform multiplication and create 16-bit values
+    const __m256i dot = _mm256_maddubs_epi16(ax, sy);
+    return sum_i16_pairs_float(dot);
+}
+
 static inline __m128i packNibbles( __m256i bytes )
 {
     // Move bits within 16-bit lanes from 0000_abcd_0000_efgh into 0000_0000_abcd_efgh
@@ -1273,29 +1309,6 @@ static void quantize_row_q8_0_reference(const float * restrict x, block_q8_0 * r
     }
 }
 
-#ifdef __AVX2__
-// There is no better way of doing this?
-// I guess not, AVX is not very good at horizontal sums.
-// The commented solution for a hotrizontal sum was suggested by @pubby as being slightly
-// faster than the solution below. As I don't have an AVX2 system handt right now to test,
-// keeping the original.
-// TODO: Please try and if it does make a differece, uncomment and remove the implementation below.
-//static inline float horizontal_sum(__m256i a) {
-//    __m256i b = _mm256_castps_si256(_mm256_movehdup_ps(_mm256_castsi256_ps(a)));
-//    __m256i sum = _mm256_add_epi32(a, b);
-//    __m256i hi = _mm256_unpackhi_epi64(sum, sum);
-//    sum = _mm256_add_epi32(sum, hi);
-//    return _mm256_cvtsi256_si32(sum) + _mm256_extract_epi32(sum, 4);
-//}
-static inline float horizontal_sum(__m256i a) {
-    __m128i sum128 = _mm_add_epi32(_mm256_castsi256_si128(a), _mm256_extracti128_si256(a, 1));
-    __m128i hi64 = _mm_unpackhi_epi64(sum128, sum128);
-    __m128i sum64 = _mm_add_epi32(hi64, sum128);
-    __m128i hi32  = _mm_shuffle_epi32(sum64, _MM_SHUFFLE(2, 3, 0, 1));
-    return _mm_cvtsi128_si32(_mm_add_epi32(sum64, hi32));
-}
-#endif
-
 static void quantize_row_q8_0(const float * restrict x, void * restrict vy, int k) {
     assert(k % QK8_0 == 0);
     const int nb = k / QK8_0;
@@ -1384,9 +1397,8 @@ static void quantize_row_q8_0(const float * restrict x, void * restrict vy, int
         __m256i i3 = _mm256_cvtps_epi32( v3 );
 
 #if defined(__AVX2__)
-
         // Compute the sum of the quants and set y[i].s
-        y[i].s = d * horizontal_sum(_mm256_add_epi32(_mm256_add_epi32(i0, i1), _mm256_add_epi32(i2, i3)));
+        y[i].s = d * hsum_i32_8(_mm256_add_epi32(_mm256_add_epi32(i0, i1), _mm256_add_epi32(i2, i3)));
 
         // Convert int32 to int16
         i0 = _mm256_packs_epi32( i0, i1 );	// 0, 1, 2, 3,  8, 9, 10, 11,  4, 5, 6, 7, 12, 13, 14, 15
@@ -1413,6 +1425,11 @@ static void quantize_row_q8_0(const float * restrict x, void * restrict vy, int
         __m128i ni6 = _mm256_castsi256_si128( i3 );
         __m128i ni7 = _mm256_extractf128_si256( i3, 1);
 
+        // Compute the sum of the quants and set y[i].s
+        const __m128i s0 = _mm_add_epi32(_mm_add_epi32(ni0, ni1), _mm_add_epi32(ni2, ni3));
+        const __m128i s1 = _mm_add_epi32(_mm_add_epi32(ni4, ni5), _mm_add_epi32(ni6, ni7));
+        y[i].s = d * hsum_i32_8(_mm256_set_m128i(s1, s0));
+
         // Convert int32 to int16
         ni0 = _mm_packs_epi32( ni0, ni1 );
         ni2 = _mm_packs_epi32( ni2, ni3 );
@@ -1430,14 +1447,6 @@ static void quantize_row_q8_0(const float * restrict x, void * restrict vy, int
     // scalar
     quantize_row_q8_0_reference(x, y, k);
 #endif
-#if defined __AVX__
-    // TODO: vectorize this
-    for (int i=0; i<nb; ++i) {
-        int sum = 0;
-        for (int l=0; l<QK8_0; ++l) sum += y[i].qs[l];
-        y[i].s = y[i].d * sum;
-    }
-#endif
 }
 
 static void dequantize_row_q4_0(const void * restrict vx, float * restrict y, int k) {
@@ -2374,8 +2383,6 @@ static void ggml_vec_dot_q4_0_q8_0(const int n, float * restrict s, const void *
     const block_q4_0 * restrict x = vx;
     const block_q8_0 * restrict y = vy;
 
-    float sumf = 0.0;
-
 #if defined(__ARM_NEON)
     float32x4_t sumv0 = vdupq_n_f32(0.0f);
     float32x4_t sumv1 = vdupq_n_f32(0.0f);
@@ -2441,7 +2448,7 @@ static void ggml_vec_dot_q4_0_q8_0(const int n, float * restrict s, const void *
 #endif
     }
 
-    sumf = vaddvq_f32(sumv0) + vaddvq_f32(sumv1) - 8 * sum8;
+    *s = vaddvq_f32(sumv0) + vaddvq_f32(sumv1) - 8 * sum8;
 #elif defined(__AVX2__)
     // Initialize accumulator with zeros
     __m256 acc = _mm256_setzero_ps();
@@ -2459,32 +2466,13 @@ static void ggml_vec_dot_q4_0_q8_0(const int n, float * restrict s, const void *
 
         __m256i by = _mm256_loadu_si256((const __m256i *)y[i].qs);
 
-        // Get absolute values of x vectors
-        const __m256i ax = _mm256_sign_epi8(bx, bx);
-
-        // Sign the values of the y vectors
-        const __m256i sy = _mm256_sign_epi8(by, bx);
-
-        // Perform multiplication and create 16-bit values
-        const __m256i dot = _mm256_maddubs_epi16(ax, sy);
-
-        const __m256i ones = _mm256_set1_epi16(1);
-        __m256i xy_q = _mm256_madd_epi16(ones, dot);
-
-        /* Convert to vectore of 8 int32_t to 8 floats */
-        __m256 q = _mm256_cvtepi32_ps( xy_q );
+        const __m256 q = mul_sum_i8_pairs_float(bx, by);
 
         /* Multiply q with scale and accumulate */
         acc = _mm256_fmadd_ps( d, q, acc );
     }
 
-    // Return horizontal sum of the acc vector
-    __m128 res = _mm256_extractf128_ps( acc, 1 );
-    res = _mm_add_ps( res, _mm256_castps256_ps128( acc ) );
-    res = _mm_add_ps( res, _mm_movehl_ps( res, res ) );
-    res = _mm_add_ss( res, _mm_movehdup_ps( res ) );
-
-    sumf = _mm_cvtss_f32( res );
+    *s = hsum_float_8(acc);
 #elif defined(__AVX__)
     // Initialize accumulator with zeros
     __m256 acc = _mm256_setzero_ps();
@@ -2523,15 +2511,10 @@ static void ggml_vec_dot_q4_0_q8_0(const int n, float * restrict s, const void *
         acc = _mm256_add_ps(_mm256_mul_ps( d, p ), acc);
     }
 
-    // Return horizontal sum of the acc vector
-    __m128 res = _mm256_extractf128_ps( acc, 1 );
-    res = _mm_add_ps( res, _mm256_castps256_ps128( acc ) );
-    res = _mm_add_ps( res, _mm_movehl_ps( res, res ) );
-    res = _mm_add_ss( res, _mm_movehdup_ps( res ) );
-
-    sumf = _mm_cvtss_f32( res );
+    *s = hsum_float_8(acc);
 #else
     // scalar
+    float sumf = 0.0;
     for (int i = 0; i < nb; i++) {
         const float d0 = x[i].d;
         const float d1 = y[i].d;
@@ -2553,9 +2536,8 @@ static void ggml_vec_dot_q4_0_q8_0(const int n, float * restrict s, const void *
         }
         sumf += d0*d1*sumi;
     }
-#endif
-
     *s = sumf;
+#endif
 }
 
 static void ggml_vec_dot_q4_1_q8_0(const int n, float * restrict s, const void * restrict vx, const void * restrict vy) {
@@ -2567,8 +2549,6 @@ static void ggml_vec_dot_q4_1_q8_0(const int n, float * restrict s, const void *
     const block_q4_1 * restrict x = vx;
     const block_q8_0 * restrict y = vy;
 
-    float sumf = 0.0;
-
     // TODO: add AVX / WASM SIMD / etc
 #if defined(__ARM_NEON)
     float32x4_t sumv0 = vdupq_n_f32(0.0f);
@@ -2635,7 +2615,7 @@ static void ggml_vec_dot_q4_1_q8_0(const int n, float * restrict s, const void *
 #endif
     }
 
-    sumf = vaddvq_f32(sumv0) + vaddvq_f32(sumv1) + summs;
+    *s = vaddvq_f32(sumv0) + vaddvq_f32(sumv1) + summs;
 #elif defined(__AVX2__)
     // Initialize accumulator with zeros
     __m256 acc = _mm256_setzero_ps();
@@ -2646,7 +2626,6 @@ static void ggml_vec_dot_q4_1_q8_0(const int n, float * restrict s, const void *
     for (int i = 0; i < nb; ++i) {
         const float * d0 = &x[i].d;
         const float * d1 = &y[i].d;
-        //const float * m0 = &x[i].m;
 
         summs += x[i].m * y[i].s;
 
@@ -2660,33 +2639,16 @@ static void ggml_vec_dot_q4_1_q8_0(const int n, float * restrict s, const void *
         const __m256i bx = bytes_from_nibbles_32(x[i].qs);
         const __m256i by = _mm256_loadu_si256( (const __m256i *)y[i].qs );
 
-        // Get absolute values of x vectors
-        const __m256i ax = _mm256_sign_epi8( bx, bx );
-
-        // Sign the values of the y vectors
-        const __m256i sy = _mm256_sign_epi8( by, bx );
-
-        // Perform multiplication and create 16-bit values
-        const __m256i dot = _mm256_maddubs_epi16( ax, sy );
-        const __m256i ones = _mm256_set1_epi16( 1 );
-        const __m256i xy_q = _mm256_madd_epi16( ones, dot );
-
-        // Convert to vector of 8 int32_t to 8 floats
-        const __m256 xy = _mm256_cvtepi32_ps( xy_q );
+        const __m256 xy = mul_sum_i8_pairs_float(bx, by);
 
         // Accumulate d0*d1*x*y
         acc = _mm256_fmadd_ps( d0d1, xy, acc );
     }
 
-    // Return horizontal sum of the acc vector
-    __m128 res = _mm256_extractf128_ps( acc, 1 );
-    res = _mm_add_ps( res, _mm256_castps256_ps128( acc ) );
-    res = _mm_add_ps( res, _mm_movehl_ps( res, res ) );
-    res = _mm_add_ss( res, _mm_movehdup_ps( res ) );
-
-    sumf = _mm_cvtss_f32( res ) + summs;
+    *s = hsum_float_8(acc) + summs;
 #else
     // scalar
+    float sumf = 0.0;
     for (int i = 0; i < nb; i++) {
         const float d0 = x[i].d;
         const float m0 = x[i].m;
@@ -2708,9 +2670,8 @@ static void ggml_vec_dot_q4_1_q8_0(const int n, float * restrict s, const void *
             sumf += f0*f2 + f1*f3;
         }
     }
-#endif
-
     *s = sumf;
+#endif
 }
 
 static void ggml_vec_dot_q4_2_q8_0(const int n, float * restrict s, const void * restrict vx, const void * restrict vy) {
@@ -2723,8 +2684,6 @@ static void ggml_vec_dot_q4_2_q8_0(const int n, float * restrict s, const void *
     const block_q4_2 * restrict x = vx;
     const block_q8_0 * restrict y = vy;
 
-    float sumf = 0.0;
-
 #if defined(__ARM_NEON)
     float32x4_t sumv0 = vdupq_n_f32(0.0f);
     float32x4_t sumv1 = vdupq_n_f32(0.0f);
@@ -2802,7 +2761,7 @@ static void ggml_vec_dot_q4_2_q8_0(const int n, float * restrict s, const void *
 #endif
     }
 
-    sumf = vaddvq_f32(sumv0) + vaddvq_f32(sumv1);
+    *s = vaddvq_f32(sumv0) + vaddvq_f32(sumv1);
 #elif defined(__AVX2__)
     // Initialize accumulator with zeros
     __m256 acc = _mm256_setzero_ps();
@@ -2824,32 +2783,16 @@ static void ggml_vec_dot_q4_2_q8_0(const int n, float * restrict s, const void *
 
         __m256i by = _mm256_loadu_si256((const __m256i *)y[i].qs);
 
-        // Get absolute values of x vectors
-        const __m256i ax = _mm256_sign_epi8(bx, bx);
-        // Sign the values of the y vectors
-        const __m256i sy = _mm256_sign_epi8(by, bx);
-        // Perform multiplication and create 16-bit values
-        const __m256i dot = _mm256_maddubs_epi16(ax, sy);
-
-        const __m256i ones = _mm256_set1_epi16(1);
-        __m256i xy_q = _mm256_madd_epi16(ones, dot);
-
-        /* Convert to vectore of 8 int32_t to 8 floats */
-        __m256 q = _mm256_cvtepi32_ps(xy_q);
+        const __m256 q = mul_sum_i8_pairs_float(bx, by);
 
         /* Multiply q with scale and accumulate */
         acc = _mm256_fmadd_ps(d, q, acc);
     }
 
-    // Return horizontal sum of the acc vector
-    __m128 res = _mm256_extractf128_ps(acc, 1);
-    res = _mm_add_ps(res, _mm256_castps256_ps128(acc));
-    res = _mm_add_ps(res, _mm_movehl_ps(res, res));
-    res = _mm_add_ss(res, _mm_movehdup_ps(res));
-
-    sumf = _mm_cvtss_f32(res);
+    *s = hsum_float_8(acc);
 #else
     // scalar
+    float sumf = 0.0;
     for (int i = 0; i < nb; i++) {
         const uint8_t * restrict x0 = x[2*i + 0].qs;
         const uint8_t * restrict x1 = x[2*i + 1].qs;
@@ -2884,9 +2827,8 @@ static void ggml_vec_dot_q4_2_q8_0(const int n, float * restrict s, const void *
         sumf += (d0 * y[i].d) * sumi_0;
         sumf += (d1 * y[i].d) * sumi_1;
     }
-#endif
-
     *s = sumf;
+#endif
 }
 
 static void ggml_vec_dot_q4_3_q8_0(const int n, float * restrict s, const void * restrict vx, const void * restrict vy) {
@@ -2899,8 +2841,6 @@ static void ggml_vec_dot_q4_3_q8_0(const int n, float * restrict s, const void *
     const block_q4_3 * restrict x = vx;
     const block_q8_0 * restrict y = vy;
 
-    float sumf = 0.0;
-
 #if defined(__ARM_NEON)
     float32x4_t sumv0 = vdupq_n_f32(0.0f);
     float32x4_t sumv1 = vdupq_n_f32(0.0f);
@@ -2986,9 +2926,41 @@ static void ggml_vec_dot_q4_3_q8_0(const int n, float * restrict s, const void *
 #endif
     }
 
-    sumf = vaddvq_f32(sumv0) + vaddvq_f32(sumv1);
+    *s = vaddvq_f32(sumv0) + vaddvq_f32(sumv1);
+#elif defined(__AVX2__)
+    // Initialize accumulator with zeros
+    __m256 acc = _mm256_setzero_ps();
+
+    // Main loop
+    for (int i = 0; i < nb; i++) {
+        const __m128 d0 = _mm_set1_ps(GGML_FP16_TO_FP32(x[2*i + 0].d));
+        const __m128 d1 = _mm_set1_ps(GGML_FP16_TO_FP32(x[2*i + 1].d));
+        const __m256 dx = _mm256_set_m128(d1, d0);
+
+        const __m128 m0 = _mm_set1_ps(GGML_FP16_TO_FP32(x[2*i + 0].m));
+        const __m128 m1 = _mm_set1_ps(GGML_FP16_TO_FP32(x[2*i + 1].m));
+        const __m256 mx = _mm256_set_m128(m1, m0);
+
+        const __m128i bx0 = bytes_from_nibbles_16(x[2*i + 0].qs);
+        const __m128i bx1 = bytes_from_nibbles_16(x[2*i + 1].qs);
+        const __m256i bx = _mm256_set_m128i(bx1, bx0);
+
+        const __m256 dy = _mm256_broadcast_ss(&y[i].d);
+        const __m256i by = _mm256_loadu_si256((const __m256i *)y[i].qs);
+
+        const __m256i syi = _mm256_maddubs_epi16(_mm256_set1_epi8(1), by);
+        const __m256 syf = sum_i16_pairs_float(syi);
+
+        const __m256 q = mul_sum_i8_pairs_float(bx, by);
+
+        const __m256 sxy = _mm256_fmadd_ps(q, dx, _mm256_mul_ps(mx, syf));
+        acc = _mm256_fmadd_ps(sxy, dy, acc);
+    }
+
+    *s = hsum_float_8(acc);
 #else
     // scalar
+    float sumf = 0.0;
     for (int i = 0; i < nb; i++) {
         const uint8_t * restrict x0 = x[2*i + 0].qs;
         const uint8_t * restrict x1 = x[2*i + 1].qs;
@@ -3031,9 +3003,8 @@ static void ggml_vec_dot_q4_3_q8_0(const int n, float * restrict s, const void *
         sumf += (d0*sxy_0 + m0*sy_0)*y[i].d;
         sumf += (d1*sxy_1 + m1*sy_1)*y[i].d;
     }
-#endif
-
     *s = sumf;
+#endif
 }