diff --git a/include/triton/tools/bench.hpp b/include/triton/tools/bench.hpp
index 9d07bf227..554b3bcc3 100644
--- a/include/triton/tools/bench.hpp
+++ b/include/triton/tools/bench.hpp
@@ -38,7 +38,7 @@ inline double bench(std::function<void()> const & op, driver::stream * stream)
   double total_time = 0;
   op();
   stream->synchronize();
-  while(total_time*1e-9 < 1e-1){
+  while(total_time*1e-9 < 1e-3){
     float norm = 1;
     // normalize clock if possible to reduce noise in auto-tuning
     if(auto cu_device = dynamic_cast<const triton::driver::cu_device*>(stream->context()->device()))
diff --git a/lib/codegen/analysis/allocation.cc b/lib/codegen/analysis/allocation.cc
index 8ff77eb25..fc2a5ce22 100644
--- a/lib/codegen/analysis/allocation.cc
+++ b/lib/codegen/analysis/allocation.cc
@@ -20,14 +20,16 @@ unsigned allocation::is_ld_padded(ir::value *x) {
     if(trans->get_perm()[0]->get_value() != 0)
       return 4;
   }
+  auto order = tiles_->order(x);
+  bool is_col_major = order[0] == 0;
   if(tiles_->hmma(x) == HMMA_A_ROW)
-    return 8;
+    return is_col_major ? 16 : 8;
   if(tiles_->hmma(x) == HMMA_A_COL)
-    return 16;
+    return is_col_major ? 8 : 16;
   if(tiles_->hmma(x) == HMMA_B_COL)
-    return 8;
+    return is_col_major ? 16 : 8;
   if(tiles_->hmma(x) == HMMA_B_ROW)
-    return 16;
+    return is_col_major ? 8 : 16;
   if(auto* phi = dynamic_cast<ir::phi_node*>(x)) {
     unsigned result = 0;
     for(unsigned i = 0; i < phi->get_num_incoming(); i++)
diff --git a/tests/unit/dot.cc b/tests/unit/dot.cc
index c3a7c8b00..bb75df10e 100644
--- a/tests/unit/dot.cc
+++ b/tests/unit/dot.cc
@@ -31,7 +31,7 @@ static void cpu_ref(std::vector<T> &c, const std::vector<T> &a, const std::vecto
   for(size_t n = 0; n < N; n++){
     float acc = 0;
     for(size_t k = 0; k < K; k++)
-      acc = acc + (AT ? a[k + m*K] : a[m + k*M]) * (BT ? b[n + k*N] : b[k + n*K]);
+      acc = acc + (AT ? a[k*M + m] : a[m*K + k]) * (BT ? b[n*K + k] : b[k*N + n]);
     c[m + n*M] = static_cast<T>(acc);
   }
 }
@@ -49,25 +49,47 @@ void cpu_ref(bool AT_, bool BT_, size_t M, size_t N, size_t K,
     cpu_ref<T, false, false>(c, a, b, M, N, K);
 }
 
+template<class T>
+struct to_string;
 
-bool do_test(drv::stream* stream, bool AT, bool BT, int32_t M, int32_t N, int32_t K, int32_t TM, int32_t TN, int32_t TK, size_t nwarp){
-  typedef float NumericT;
-  std::string ty = "float";
-  size_t dt_nbytes = sizeof(NumericT);
+template<> struct to_string<half_float::half>{
+  static constexpr const char* value = "half";
+};
+
+template<> struct to_string<float>{
+  static constexpr const char* value = "float";
+};
+
+template<> struct to_string<double>{
+  static constexpr const char* value = "double";
+};
+
+enum dtype_t {
+  FLOAT,
+  HALF,
+  DOUBLE
+};
+
+template<class T>
+bool do_test(drv::stream* stream, bool AT, bool BT,
+             int32_t M, int32_t N, int32_t K,
+             int32_t TM, int32_t TN, int32_t TK, size_t nwarp){
+  std::string ty = to_string<T>::value;
+  size_t dt_nbytes = sizeof(T);
   drv::context* context = stream->context();
-  std::vector<NumericT> hc(M*N);
-  std::vector<NumericT> ha(M*K);
-  std::vector<NumericT> hb(K*N);
+  std::vector<T> hc(M*N);
+  std::vector<T> ha(M*K);
+  std::vector<T> hb(K*N);
   int32_t lda = AT ? K : M;
   int32_t ldb = BT ? N : K;
   int32_t ldc = M;
   srand(0);
   for(size_t i = 0; i < ha.size(); i++)
-    ha[i] = static_cast<NumericT>((float)rand()/RAND_MAX);
+    ha[i] = static_cast<T>((float)rand()/RAND_MAX);
   for(size_t i = 0; i < hb.size(); i++)
-    hb[i] = static_cast<NumericT>((float)rand()/RAND_MAX);
+    hb[i] = static_cast<T>((float)rand()/RAND_MAX);
   for(size_t i = 0; i < hc.size(); i++)
-    hc[i] = static_cast<NumericT>((double)0);
+    hc[i] = static_cast<T>((double)0);
   auto dc = std::shared_ptr<drv::buffer>(drv::buffer::create(context, hc.size()*dt_nbytes));
   auto da = std::shared_ptr<drv::buffer>(drv::buffer::create(context, ha.size()*dt_nbytes));
   auto db = std::shared_ptr<drv::buffer>(drv::buffer::create(context, hb.size()*dt_nbytes));
@@ -92,33 +114,47 @@ bool do_test(drv::stream* stream, bool AT, bool BT, int32_t M, int32_t N, int32_
   }
   // test
   stream->read(&*dc, true, 0, hc);
-  std::vector<NumericT> rc(hc.size());
+  std::vector<T> rc(hc.size());
   cpu_ref(AT, BT, M, N, K, rc, ha, hb);
   return testing::diff(hc, rc);
 }
 
+bool do_test(triton::driver::stream *stream,
+             dtype_t dtype, bool AT, bool BT,
+             int32_t M, int32_t N, int32_t K,
+             int32_t TM, int32_t TN, int32_t TK, size_t nwarp) {
+  switch(dtype){
+    case HALF:   return do_test<half_float::half>(stream, AT, BT, M, N, K, TM, TN, TK, nwarp);
+    case FLOAT:  return do_test<float>(stream, AT, BT, M, N, K, TM, TN, TK, nwarp);
+    case DOUBLE: return do_test<double>(stream, AT, BT, M, N, K, TM, TN, TK, nwarp);
+    default: break;
+  }
+  return false;
+}
+
 int main() {
   // initialize default compute device
   auto context = triton::driver::backend::contexts::get_default();
   triton::driver::stream* stream = triton::driver::stream::create(context);
   // shapes to benchmark
-  typedef std::tuple<bool, bool, int, int, int, int, int, int, int> config_t;
+  typedef std::tuple<dtype_t, bool, bool, int, int, int, int, int, int, int> config_t;
   std::vector<config_t> configs;
   for(bool AT: std::array<bool, 2>{false, true})
   for(bool BT: std::array<bool, 2>{false, true})
-  for(int TM: std::vector<int>{16, 128})
-  for(int TN: std::vector<int>{16, 128})
+  for(int TM: std::vector<int>{32, 64})
+  for(int TN: std::vector<int>{32, 64})
   for(int TK: std::vector<int>{16, 32})
   for(int nwarps: std::vector<int>{1, 2, 4, 8}){
-    configs.push_back(config_t{AT, BT, 128, 128, 128, TM, TN, TK, nwarps});
+    configs.push_back(config_t{HALF, AT, BT, 128, 128, 128, TM, TN, TK, nwarps});
   }
   // does the work
+  dtype_t dtype;
   bool AT, BT;
   int M, N, K, TM, TN, TK, nwarp;
   for(const auto& c: configs){
-    std::tie(AT, BT, M, N, K, TM, TN, TK, nwarp) = c;
+    std::tie(dtype, AT, BT, M, N, K, TM, TN, TK, nwarp) = c;
     std::cout << "Testing " << c << " ... " << std::flush;
-    if(do_test(stream, AT, BT, M, N, K, TM, TN, TK, (size_t)nwarp))
+    if(do_test(stream, dtype, AT, BT, M, N, K, TM, TN, TK, (size_t)nwarp))
       std::cout << " Pass! " << std::endl;
     else{
       std::cout << " Fail! " << std::endl;