diff --git a/paddle/fluid/framework/paddle2cinn/cinn_cache_key.cc b/paddle/fluid/framework/paddle2cinn/cinn_cache_key.cc
old mode 100644
new mode 100755
index 90bb7337f2a355ec89553c5f9d46f5571a76394f..3a7aa273f27ba08446ba9909eb1930dea11aac24
--- a/paddle/fluid/framework/paddle2cinn/cinn_cache_key.cc
+++ b/paddle/fluid/framework/paddle2cinn/cinn_cache_key.cc
@@ -84,7 +84,7 @@ size_t CinnCacheKey::Hash::operator()(const CinnCacheKey& key) const {
 
   for (const auto& name_shape : key.input_shapes_) {
     has_str << name_shape.first;
-    has_str << name_shape.second.to_str();
+    has_str << std::hash<phi::DDim>()(name_shape.second);
   }
 
   has_str << key.graph_hash_val_;
diff --git a/paddle/fluid/operators/cinn/cinn_launch_context.cc b/paddle/fluid/operators/cinn/cinn_launch_context.cc
index 982fedfe23d8c47d66bb3415e13324eebb6ec674..e7da2d636c3e6b137789ff7995e78607ddbcb58a 100644
--- a/paddle/fluid/operators/cinn/cinn_launch_context.cc
+++ b/paddle/fluid/operators/cinn/cinn_launch_context.cc
@@ -255,6 +255,8 @@ void CinnLaunchContext::InitializeArguments() {
         framework::DDim(cinn_buffer->dims, cinn_buffer->dimensions).to_str(),
         cinn_tensor->type());
     name2argument_.emplace(arg, cinn_buffer.get());
+    auto pdvar2cinnbuf_ = cinn2paddle_varmap_.at(arg);
+    paddle2argument_.emplace(pdvar2cinnbuf_, cinn_buffer.get());
     hold_buffers_.emplace_back(std::move(cinn_buffer));
   }
   VLOG(4) << "Total argument size:" << name2argument_.size();
@@ -491,17 +493,12 @@ framework::InterpreterCore* CinnLaunchContext::InitializeInterpreterCore(
 
 cinn_buffer_t* CinnLaunchContext::GetCinnBufferOfVar(
     const std::string& var_name) {
-  auto it = paddle2cinn_varmap_.find(var_name);
+  auto res = paddle2argument_.find(var_name);
   PADDLE_ENFORCE_NE(
-      it,
-      paddle2cinn_varmap_.end(),
-      platform::errors::InvalidArgument(
-          "Variable(%s) not found in compilation result", var_name));
-  auto res = name2argument_.find(it->second);
-  PADDLE_ENFORCE_NE(res,
-                    name2argument_.end(),
-                    platform::errors::NotFound(
-                        "Argument(%s) not be initialized", it->second));
+      res,
+      paddle2argument_.end(),
+      platform::errors::NotFound("Variable(%s) not found in compilation result",
+                                 var_name));
   return static_cast<cinn_buffer_t*>(res->second);
 }
 
diff --git a/paddle/fluid/operators/cinn/cinn_launch_context.h b/paddle/fluid/operators/cinn/cinn_launch_context.h
index d6ce95de0859d0e3d2e63e0dbaef8ae7bbac5036..e66658750bb230e0a81cb31095bacbf509a6d635 100644
--- a/paddle/fluid/operators/cinn/cinn_launch_context.h
+++ b/paddle/fluid/operators/cinn/cinn_launch_context.h
@@ -177,6 +177,9 @@ class CinnLaunchContext {
   // this map saves all execution arguments with their cinn names as key,
   // and it is passed to the Execute interface of a cinn runtime program.
   std::map<std::string, cinn_pod_value_t> name2argument_;
+  // this map saves all execution arguments with paddle variables as key,
+  // this map conbine name2argument_ and paddle2cinn_varmap_
+  std::map<std::string, cinn_pod_value_t> paddle2argument_;
 };
 
 }  // namespace operators::details
diff --git a/paddle/phi/core/ddim.cc b/paddle/phi/core/ddim.cc
index 18778c9abf60f6051599fe4419b8029ac8b812c1..3256458e02be9e9659cf3bbba52503bc0277c459 100644
--- a/paddle/phi/core/ddim.cc
+++ b/paddle/phi/core/ddim.cc
@@ -203,3 +203,16 @@ DDim DDim::transpose(const std::vector<int>& axis) const {
 }
 
 }  // namespace phi
+
+namespace std {
+
+std::size_t hash<phi::DDim>::operator()(phi::DDim const& ddim) const {
+  int ndim = ddim.size();
+  std::size_t seed = ndim;
+  for (int i = 0; i < ndim; ++i) {
+    seed ^= ddim.Get()[i] + 0x9e3779b9 + (seed << 6) + (seed >> 2);
+  }
+  return seed;
+}
+
+}  // namespace std
diff --git a/paddle/phi/core/ddim.h b/paddle/phi/core/ddim.h
old mode 100644
new mode 100755
index 794d7051aee58e4fc63c40f2d7dd361ed6b834ba..8003df7fd6842d286b037679d4c71dd9257ac353
--- a/paddle/phi/core/ddim.h
+++ b/paddle/phi/core/ddim.h
@@ -155,7 +155,7 @@ class DDim {
 
   std::string to_str() const;
 
-  DDim reshape(std::vector<int>& shape) const;
+  DDim reshape(std::vector<int>& shape) const;  // NOLINT
 
   DDim transpose(const std::vector<int>& axis) const;
 
@@ -262,3 +262,10 @@ using DDim = phi::DDim;
 
 }  // namespace framework
 }  // namespace paddle
+
+namespace std {
+template <>
+struct hash<phi::DDim> {
+  std::size_t operator()(phi::DDim const& ddim) const;
+};
+}  // namespace std
diff --git a/paddle/phi/tests/core/test_ddim.cc b/paddle/phi/tests/core/test_ddim.cc
old mode 100644
new mode 100755
index 72c91b452296f968a6b89bb545b3ed1d8ad64b73..0251e3f8bb9116082b808883ec068e6ab4801e1b
--- a/paddle/phi/tests/core/test_ddim.cc
+++ b/paddle/phi/tests/core/test_ddim.cc
@@ -124,5 +124,13 @@ TEST(DDim, Print) {
   EXPECT_EQ("", ss2.str());
 }
 
+TEST(DDim, Hash) {
+  // hash a DDim
+  std::size_t h;
+  phi::DDim ddim = phi::make_ddim({2, 3, 4});
+  h = std::hash<phi::DDim>()(ddim);
+  EXPECT_EQ(h, 0xa16fb2b2967ul);
+}
+
 }  // namespace tests
 }  // namespace phi