diff --git a/benchmark/cublas/blas3/gemm.cpp b/benchmark/cublas/blas3/gemm.cpp
index 8a354cb5c..8e442bbe4 100644
--- a/benchmark/cublas/blas3/gemm.cpp
+++ b/benchmark/cublas/blas3/gemm.cpp
@@ -160,8 +160,8 @@ void register_benchmark(blas_benchmark::Args& args,
       run<scalar_t>(st, cuda_handle_ptr, t1, t2, m, k, n, alpha, beta, success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(t1s, t2s, m, k,
-                                                                n)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            t1s, t2s, m, k, n, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, t1, t2, m, k, n, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/cublas/blas3/gemm_batched.cpp b/benchmark/cublas/blas3/gemm_batched.cpp
index 709bb7ea3..e575e18c5 100644
--- a/benchmark/cublas/blas3/gemm_batched.cpp
+++ b/benchmark/cublas/blas3/gemm_batched.cpp
@@ -200,7 +200,8 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            t1s, t2s, m, k, n, batch_count, batch_type)
+            t1s, t2s, m, k, n, batch_count, batch_type,
+            blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, t1, t2, m, k, n, alpha, beta, batch_count,
         batch_type, success)
diff --git a/benchmark/cublas/blas3/gemm_batched_strided.cpp b/benchmark/cublas/blas3/gemm_batched_strided.cpp
index a5378f0cc..52cefc411 100644
--- a/benchmark/cublas/blas3/gemm_batched_strided.cpp
+++ b/benchmark/cublas/blas3/gemm_batched_strided.cpp
@@ -200,7 +200,7 @@ void register_benchmark(blas_benchmark::Args& args,
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
             t1s, t2s, m, k, n, batch_size, stride_a_mul, stride_b_mul,
-            stride_c_mul)
+            stride_c_mul, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, t1, t2, m, k, n, alpha, beta, batch_size,
         stride_a_mul, stride_b_mul, stride_c_mul, success)
diff --git a/benchmark/cublas/blas3/symm.cpp b/benchmark/cublas/blas3/symm.cpp
index be1e4b250..29fddb038 100644
--- a/benchmark/cublas/blas3/symm.cpp
+++ b/benchmark/cublas/blas3/symm.cpp
@@ -158,7 +158,8 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            s_side, s_uplo, m, n, alpha, beta)
+            s_side, s_uplo, m, n, alpha, beta,
+            blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, s_side, s_uplo, m, n, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/cublas/blas3/syr2k.cpp b/benchmark/cublas/blas3/syr2k.cpp
index 184b556cd..54fdbc0f0 100644
--- a/benchmark/cublas/blas3/syr2k.cpp
+++ b/benchmark/cublas/blas3/syr2k.cpp
@@ -157,7 +157,8 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            s_uplo, s_trans, n, k, alpha, beta)
+            s_uplo, s_trans, n, k, alpha, beta,
+            blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, s_uplo, s_trans, n, k, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/cublas/blas3/syrk.cpp b/benchmark/cublas/blas3/syrk.cpp
index 5743402fe..c5cea7fef 100644
--- a/benchmark/cublas/blas3/syrk.cpp
+++ b/benchmark/cublas/blas3/syrk.cpp
@@ -153,7 +153,8 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            s_uplo, s_trans, n, k, alpha, beta)
+            s_uplo, s_trans, n, k, alpha, beta,
+            blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, s_uplo, s_trans, n, k, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/cublas/blas3/trmm.cpp b/benchmark/cublas/blas3/trmm.cpp
index c76b12da7..47bfb36e7 100644
--- a/benchmark/cublas/blas3/trmm.cpp
+++ b/benchmark/cublas/blas3/trmm.cpp
@@ -172,7 +172,8 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            s_side, s_uplo, s_t, s_diag, m, n)
+            s_side, s_uplo, s_t, s_diag, m, n,
+            blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, s_side, s_uplo, s_t, s_diag, m, n, alpha,
         success)
diff --git a/benchmark/cublas/blas3/trsm.cpp b/benchmark/cublas/blas3/trsm.cpp
index d2d27d570..4d39b712f 100644
--- a/benchmark/cublas/blas3/trsm.cpp
+++ b/benchmark/cublas/blas3/trsm.cpp
@@ -172,7 +172,7 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            side, uplo, trans, diag, m, n)
+            side, uplo, trans, diag, m, n, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, side, uplo, trans, diag, m, n, alpha,
         success)
diff --git a/benchmark/cublas/blas3/trsm_batched.cpp b/benchmark/cublas/blas3/trsm_batched.cpp
index b52b6c86a..6bdb6bffc 100644
--- a/benchmark/cublas/blas3/trsm_batched.cpp
+++ b/benchmark/cublas/blas3/trsm_batched.cpp
@@ -210,7 +210,7 @@ void register_benchmark(blas_benchmark::Args& args,
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
             s_side, s_uplo, s_t, s_diag, m, n, batch_count, stride_a_mul,
-            stride_b_mul)
+            stride_b_mul, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, cuda_handle_ptr, s_side, s_uplo, s_t, s_diag, m, n, alpha,
         batch_count, stride_a_mul, stride_b_mul, success)
diff --git a/benchmark/rocblas/blas3/gemm.cpp b/benchmark/rocblas/blas3/gemm.cpp
index 44f92e1f3..c254ff377 100644
--- a/benchmark/rocblas/blas3/gemm.cpp
+++ b/benchmark/rocblas/blas3/gemm.cpp
@@ -175,8 +175,8 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
       run<scalar_t>(st, rb_handle, t1i, t2i, m, k, n, alpha, beta, success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(t_a, t_b, m, k,
-                                                                n)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            t_a, t_b, m, k, n, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, t_a_i, t_b_i, m, k, n, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/rocblas/blas3/gemm_batched.cpp b/benchmark/rocblas/blas3/gemm_batched.cpp
index a4ca0aa53..62b1cbced 100644
--- a/benchmark/rocblas/blas3/gemm_batched.cpp
+++ b/benchmark/rocblas/blas3/gemm_batched.cpp
@@ -200,7 +200,8 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            t_a, t_b, m, k, n, batch_size, batch_type)
+            t_a, t_b, m, k, n, batch_size, batch_type,
+            blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, t_a_i, t_b_i, m, k, n, alpha, beta, batch_size,
         batch_type, success)
diff --git a/benchmark/rocblas/blas3/gemm_batched_strided.cpp b/benchmark/rocblas/blas3/gemm_batched_strided.cpp
index b64ec2a6f..cdac699ca 100644
--- a/benchmark/rocblas/blas3/gemm_batched_strided.cpp
+++ b/benchmark/rocblas/blas3/gemm_batched_strided.cpp
@@ -211,7 +211,7 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
             t_a, t_b, m, k, n, batch_size, stride_a_mul, stride_b_mul,
-            stride_c_mul)
+            stride_c_mul, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, t_a_i, t_b_i, m, k, n, alpha, beta, batch_size,
         stride_a_mul, stride_b_mul, stride_c_mul, success)
diff --git a/benchmark/rocblas/blas3/symm.cpp b/benchmark/rocblas/blas3/symm.cpp
index 0daa71f29..f14413f51 100644
--- a/benchmark/rocblas/blas3/symm.cpp
+++ b/benchmark/rocblas/blas3/symm.cpp
@@ -165,8 +165,8 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
       run<scalar_t>(st, rb_handle, side, uplo, m, n, alpha, beta, success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(side, uplo, m,
-                                                                n, alpha, beta)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            side, uplo, m, n, alpha, beta, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, side, uplo, m, n, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/rocblas/blas3/syr2k.cpp b/benchmark/rocblas/blas3/syr2k.cpp
index 503db036e..1e10b2c0d 100644
--- a/benchmark/rocblas/blas3/syr2k.cpp
+++ b/benchmark/rocblas/blas3/syr2k.cpp
@@ -162,8 +162,8 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
       run<scalar_t>(st, rb_handle, uplo, trans, n, k, alpha, beta, success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(uplo, trans, n,
-                                                                k, alpha, beta)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            uplo, trans, n, k, alpha, beta, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, uplo, trans, n, k, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/rocblas/blas3/syrk.cpp b/benchmark/rocblas/blas3/syrk.cpp
index ab96d4191..579066b13 100644
--- a/benchmark/rocblas/blas3/syrk.cpp
+++ b/benchmark/rocblas/blas3/syrk.cpp
@@ -159,8 +159,8 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
       run<scalar_t>(st, rb_handle, uplo, trans, n, k, alpha, beta, success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(uplo, trans, n,
-                                                                k, alpha, beta)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            uplo, trans, n, k, alpha, beta, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, uplo, trans, n, k, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/rocblas/blas3/trmm.cpp b/benchmark/rocblas/blas3/trmm.cpp
index ac4fe1b0d..09e1d4933 100644
--- a/benchmark/rocblas/blas3/trmm.cpp
+++ b/benchmark/rocblas/blas3/trmm.cpp
@@ -173,7 +173,7 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            side, uplo, trans, diag, m, n)
+            side, uplo, trans, diag, m, n, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, side, uplo, trans, diag, m, n, alpha, success)
         ->UseRealTime();
diff --git a/benchmark/rocblas/blas3/trsm.cpp b/benchmark/rocblas/blas3/trsm.cpp
index 01f2487a8..dbf72bf3e 100644
--- a/benchmark/rocblas/blas3/trsm.cpp
+++ b/benchmark/rocblas/blas3/trsm.cpp
@@ -175,7 +175,7 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            side, uplo, trans, diag, m, n)
+            side, uplo, trans, diag, m, n, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, side, uplo, trans, diag, m, n, alpha, success)
         ->UseRealTime();
diff --git a/benchmark/rocblas/blas3/trsm_batched.cpp b/benchmark/rocblas/blas3/trsm_batched.cpp
index 3b2eb5288..e6d9d89f8 100644
--- a/benchmark/rocblas/blas3/trsm_batched.cpp
+++ b/benchmark/rocblas/blas3/trsm_batched.cpp
@@ -208,7 +208,7 @@ void register_benchmark(blas_benchmark::Args& args, rocblas_handle& rb_handle,
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
             s_side, s_uplo, s_t, s_diag, m, n, batch_size, stride_a_mul,
-            stride_b_mul)
+            stride_b_mul, blas_benchmark::utils::MEM_TYPE_USM)
             .c_str(),
         BM_lambda, rb_handle, s_side, s_uplo, s_t, s_diag, m, n, alpha,
         batch_size, stride_a_mul, stride_b_mul, success)
diff --git a/benchmark/syclblas/blas3/gemm.cpp b/benchmark/syclblas/blas3/gemm.cpp
index d91388ba8..a87c10559 100644
--- a/benchmark/syclblas/blas3/gemm.cpp
+++ b/benchmark/syclblas/blas3/gemm.cpp
@@ -133,8 +133,8 @@ void register_benchmark(blas_benchmark::Args& args, blas::SB_Handle* sb_handle_p
       run<scalar_t>(st, sb_handle_ptr, t1, t2, m, k, n, alpha, beta, success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(t1s, t2s, m, k,
-                                                                n)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            t1s, t2s, m, k, n, blas_benchmark::utils::MEM_TYPE_BUFFER)
             .c_str(),
         BM_lambda, sb_handle_ptr, t1, t2, m, k, n, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/syclblas/blas3/gemm_batched.cpp b/benchmark/syclblas/blas3/gemm_batched.cpp
index 488a92384..64c928d3b 100644
--- a/benchmark/syclblas/blas3/gemm_batched.cpp
+++ b/benchmark/syclblas/blas3/gemm_batched.cpp
@@ -202,7 +202,8 @@ void register_benchmark(blas_benchmark::Args& args,
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            t1s, t2s, m, k, n, batch_size, batch_type)
+            t1s, t2s, m, k, n, batch_size, batch_type,
+            blas_benchmark::utils::MEM_TYPE_BUFFER)
             .c_str(),
         BM_lambda, sb_handle_ptr, t1, t2, m, k, n, alpha, beta, batch_size,
         batch_type, success)
diff --git a/benchmark/syclblas/blas3/gemm_batched_strided.cpp b/benchmark/syclblas/blas3/gemm_batched_strided.cpp
index 4a93124d7..c47ab55ad 100644
--- a/benchmark/syclblas/blas3/gemm_batched_strided.cpp
+++ b/benchmark/syclblas/blas3/gemm_batched_strided.cpp
@@ -175,7 +175,7 @@ void register_benchmark(blas_benchmark::Args& args,
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
             t1s, t2s, m, k, n, batch_size, stride_a_mul, stride_b_mul,
-            stride_c_mul)
+            stride_c_mul, blas_benchmark::utils::MEM_TYPE_BUFFER)
             .c_str(),
         BM_lambda, sb_handle_ptr, t1, t2, m, k, n, alpha, beta, batch_size,
         stride_a_mul, stride_b_mul, stride_c_mul, success)
diff --git a/benchmark/syclblas/blas3/symm.cpp b/benchmark/syclblas/blas3/symm.cpp
index 17e03a1c7..1448ab7d4 100644
--- a/benchmark/syclblas/blas3/symm.cpp
+++ b/benchmark/syclblas/blas3/symm.cpp
@@ -132,8 +132,9 @@ void register_benchmark(blas_benchmark::Args& args,
                     success);
     };
     benchmark::RegisterBenchmark(
-        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(side, uplo, m,
-                                                                n, alpha, beta)
+        blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
+            side, uplo, m, n, alpha, beta,
+            blas_benchmark::utils::MEM_TYPE_BUFFER)
             .c_str(),
         BM_lambda, sb_handle_ptr, side_c, uplo_c, m, n, alpha, beta, success)
         ->UseRealTime();
diff --git a/benchmark/syclblas/blas3/trsm.cpp b/benchmark/syclblas/blas3/trsm.cpp
index 9bb7f86b3..bdafd4558 100644
--- a/benchmark/syclblas/blas3/trsm.cpp
+++ b/benchmark/syclblas/blas3/trsm.cpp
@@ -168,7 +168,8 @@ void register_benchmark(blas_benchmark::Args& args, blas::SB_Handle* sb_handle_p
     };
     benchmark::RegisterBenchmark(
         blas_benchmark::utils::get_name<benchmark_op, scalar_t>(
-            side, uplo, trans, diag, m, n)
+            side, uplo, trans, diag, m, n,
+            blas_benchmark::utils::MEM_TYPE_BUFFER)
             .c_str(),
         BM_lambda, sb_handle_ptr, side, uplo, trans, diag, m, n, alpha, success)
         ->UseRealTime();
diff --git a/common/include/common/benchmark_names.hpp b/common/include/common/benchmark_names.hpp
index d97e5bfbe..c9ea50de0 100644
--- a/common/include/common/benchmark_names.hpp
+++ b/common/include/common/benchmark_names.hpp
@@ -179,80 +179,19 @@ get_name(std::string uplo, std::string t, std::string diag, index_t n,
   return internal::get_name<op, scalar_t>(uplo, t, diag, n, mem_type);
 }
 
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::gbmv, std::string>::type
-get_name(std::string t, index_t m, index_t n, index_t kl, index_t ku) {
-  return internal::get_name<op, scalar_t>(t, m, n, kl, ku);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::gemv || op == Level2Op::sbmv,
-                               std::string>::type
-get_name(std::string t, index_t m, index_t n) {
-  return internal::get_name<op, scalar_t>(t, m, n);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::ger, std::string>::type get_name(
-    index_t m, index_t n) {
-  return internal::get_name<op, scalar_t>(m, n);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::syr || op == Level2Op::syr2,
-                               std::string>::type
-get_name(std::string uplo, index_t n, scalar_t alpha) {
-  return internal::get_name<op, scalar_t>(uplo, n, alpha);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::spr, std::string>::type get_name(
-    std::string uplo, index_t n, scalar_t alpha, index_t incx) {
-  return internal::get_name<op, scalar_t>(uplo, n, alpha, incx);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::spmv || op == Level2Op::symv,
-                               std::string>::type
-get_name(std::string uplo, index_t n, scalar_t alpha, scalar_t beta) {
-  return internal::get_name<op, scalar_t>(uplo, n, alpha, beta);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::spr2, std::string>::type
-get_name(std::string uplo, index_t n, scalar_t alpha, index_t incx,
-         index_t incy) {
-  return internal::get_name<op, scalar_t>(uplo, n, alpha, incx, incy);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::tbmv || op == Level2Op::tbsv,
-                               std::string>::type
-get_name(std::string uplo, std::string t, std::string diag, index_t n,
-         index_t k) {
-  return internal::get_name<op, scalar_t>(uplo, t, diag, n, k);
-}
-
-template <Level2Op op, typename scalar_t, typename index_t>
-inline typename std::enable_if<op == Level2Op::tpmv || op == Level2Op::trmv ||
-                                   op == Level2Op::trsv,
-                               std::string>::type
-get_name(std::string uplo, std::string t, std::string diag, index_t n) {
-  return internal::get_name<op, scalar_t>(uplo, t, diag, n);
-}
-
 template <Level3Op op, typename scalar_t, typename index_t>
 inline typename std::enable_if<op == Level3Op::gemm, std::string>::type
-get_name(std::string t1, std::string t2, index_t m, index_t k, index_t n) {
-  return internal::get_name<op, scalar_t>(t1, t2, m, k, n);
+get_name(std::string t1, std::string t2, index_t m, index_t k, index_t n,
+         std::string mem_type) {
+  return internal::get_name<op, scalar_t>(t1, t2, m, k, n, mem_type);
 }
 
 template <Level3Op op, typename scalar_t, typename index_t>
 inline typename std::enable_if<op == Level3Op::gemm_batched, std::string>::type
 get_name(std::string t1, std::string t2, index_t m, index_t k, index_t n,
-         index_t batch_size, int batch_type) {
-  return internal::get_name<op, scalar_t>(t1, t2, m, k, n, batch_size,
-                                          batch_type_to_str(batch_type));
+         index_t batch_size, int batch_type, std::string mem_type) {
+  return internal::get_name<op, scalar_t>(
+      t1, t2, m, k, n, batch_size, batch_type_to_str(batch_type), mem_type);
 }
 
 template <Level3Op op, typename scalar_t, typename index_t>
@@ -260,9 +199,10 @@ inline typename std::enable_if<op == Level3Op::gemm_batched_strided,
                                std::string>::type
 get_name(std::string t1, std::string t2, index_t m, index_t k, index_t n,
          index_t batch_size, index_t stride_a_mul, index_t stride_b_mul,
-         index_t stride_c_mul) {
-  return internal::get_name<op, scalar_t>(
-      t1, t2, m, k, n, batch_size, stride_a_mul, stride_b_mul, stride_c_mul);
+         index_t stride_c_mul, std::string mem_type) {
+  return internal::get_name<op, scalar_t>(t1, t2, m, k, n, batch_size,
+                                          stride_a_mul, stride_b_mul,
+                                          stride_c_mul, mem_type);
 }
 
 template <Level3Op op, typename scalar_t, typename index_t>
@@ -270,23 +210,27 @@ inline typename std::enable_if<op == Level3Op::symm || op == Level3Op::syr2k ||
                                    op == Level3Op::syrk,
                                std::string>::type
 get_name(std::string s1, std::string s2, index_t m, index_t n, scalar_t alpha,
-         scalar_t beta) {
-  return internal::get_name<op, scalar_t>(s1, s2, m, n, alpha, beta);
+         scalar_t beta, std::string mem_type) {
+  return internal::get_name<op, scalar_t>(s1, s2, m, n, alpha, beta, mem_type);
 }
 
 template <Level3Op op, typename scalar_t, typename index_t>
 inline typename std::enable_if<op == Level3Op::trsm || op == Level3Op::trmm,
                                std::string>::type
-get_name(char side, char uplo, char trans, char diag, index_t m, index_t n) {
-  return internal::get_name<op, scalar_t>(side, uplo, trans, diag, m, n);
+get_name(char side, char uplo, char trans, char diag, index_t m, index_t n,
+         std::string mem_type) {
+  return internal::get_name<op, scalar_t>(side, uplo, trans, diag, m, n,
+                                          mem_type);
 }
 
 template <Level3Op op, typename scalar_t, typename index_t>
 inline typename std::enable_if<op == Level3Op::trsm_batched, std::string>::type
 get_name(char side, char uplo, char trans, char diag, index_t m, index_t n,
-         index_t batch_size, index_t stride_a_mul, index_t stride_b_mul) {
-  return internal::get_name<op, scalar_t>(
-      side, uplo, trans, diag, m, n, batch_size, stride_a_mul, stride_b_mul);
+         index_t batch_size, index_t stride_a_mul, index_t stride_b_mul,
+         std::string mem_type) {
+  return internal::get_name<op, scalar_t>(side, uplo, trans, diag, m, n,
+                                          batch_size, stride_a_mul,
+                                          stride_b_mul, mem_type);
 }
 
 }  // namespace utils