diff --git a/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/IrMeta.java b/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/IrMeta.java
index 6035e96490cb..e8b5c331b5ed 100644
--- a/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/IrMeta.java
+++ b/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/IrMeta.java
@@ -21,8 +21,6 @@
 import com.alibaba.graphscope.common.ir.meta.procedure.GraphStoredProcedures;
 import com.alibaba.graphscope.common.ir.meta.schema.IrGraphSchema;
 
-import org.checkerframework.checker.nullness.qual.Nullable;
-
 import java.util.Objects;
 
 /**
@@ -33,10 +31,10 @@ public class IrMeta {
     protected final GraphId graphId;
     protected final SnapshotId snapshotId;
     protected final IrGraphSchema schema;
-    protected final @Nullable GraphStoredProcedures storedProcedures;
+    protected final GraphStoredProcedures storedProcedures;
 
     public IrMeta(IrGraphSchema schema) {
-        this(SnapshotId.createEmpty(), schema);
+        this(GraphId.DEFAULT, SnapshotId.createEmpty(), schema, new GraphStoredProcedures());
     }
 
     public IrMeta(IrGraphSchema schema, GraphStoredProcedures storedProcedures) {
@@ -44,7 +42,7 @@ public IrMeta(IrGraphSchema schema, GraphStoredProcedures storedProcedures) {
     }
 
     public IrMeta(SnapshotId snapshotId, IrGraphSchema schema) {
-        this(GraphId.DEFAULT, snapshotId, schema, null);
+        this(GraphId.DEFAULT, snapshotId, schema, new GraphStoredProcedures());
     }
 
     public IrMeta(
@@ -55,7 +53,7 @@ public IrMeta(
         this.graphId = graphId;
         this.snapshotId = Objects.requireNonNull(snapshotId);
         this.schema = Objects.requireNonNull(schema);
-        this.storedProcedures = storedProcedures;
+        this.storedProcedures = Objects.requireNonNull(storedProcedures);
     }
 
     public IrGraphSchema getSchema() {
@@ -66,7 +64,7 @@ public SnapshotId getSnapshotId() {
         return snapshotId;
     }
 
-    public @Nullable GraphStoredProcedures getStoredProcedures() {
+    public GraphStoredProcedures getStoredProcedures() {
         return storedProcedures;
     }
 
diff --git a/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/procedure/StoredProcedureMeta.java b/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/procedure/StoredProcedureMeta.java
index 2e58b20a7daa..c0e00ddde078 100644
--- a/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/procedure/StoredProcedureMeta.java
+++ b/interactive_engine/compiler/src/main/java/com/alibaba/graphscope/common/ir/meta/procedure/StoredProcedureMeta.java
@@ -238,45 +238,47 @@ private static <T> T getValue(
             Object value = valueMap.get(config.getKey());
             return (value != null) ? (T) value : config.get(new Configs(ImmutableMap.of()));
         }
-    }
 
-    public static RelDataType createReturnType(
-            List config, GSDataTypeConvertor<RelDataType> typeConvertor) {
-        List<RelDataTypeField> fields = Lists.newArrayList();
-        if (config == null) {
+        private static RelDataType createReturnType(
+                List config, GSDataTypeConvertor<RelDataType> typeConvertor) {
+            List<RelDataTypeField> fields = Lists.newArrayList();
+            if (config == null) {
+                return new RelRecordType(fields);
+            }
+            Iterator iterator = config.iterator();
+            int index = 0;
+            while (iterator.hasNext()) {
+                Map<String, Object> field = (Map<String, Object>) iterator.next();
+                fields.add(
+                        new RelDataTypeFieldImpl(
+                                (String) field.get("name"),
+                                index,
+                                typeConvertor.convert(
+                                        new GSDataTypeDesc(
+                                                (Map<String, Object>) field.get("type")))));
+                ++index;
+            }
             return new RelRecordType(fields);
         }
-        Iterator iterator = config.iterator();
-        int index = 0;
-        while (iterator.hasNext()) {
-            Map<String, Object> field = (Map<String, Object>) iterator.next();
-            fields.add(
-                    new RelDataTypeFieldImpl(
-                            (String) field.get("name"),
-                            index,
-                            typeConvertor.convert(
-                                    new GSDataTypeDesc((Map<String, Object>) field.get("type")))));
-            ++index;
-        }
-        return new RelRecordType(fields);
-    }
 
-    public static List<StoredProcedureMeta.Parameter> createParameters(
-            List config, GSDataTypeConvertor<RelDataType> typeConvertor) {
-        List<StoredProcedureMeta.Parameter> parameters = Lists.newArrayList();
-        if (config == null) {
+        private static List<StoredProcedureMeta.Parameter> createParameters(
+                List config, GSDataTypeConvertor<RelDataType> typeConvertor) {
+            List<StoredProcedureMeta.Parameter> parameters = Lists.newArrayList();
+            if (config == null) {
+                return parameters;
+            }
+            Iterator iterator = config.iterator();
+            while (iterator.hasNext()) {
+                Map<String, Object> field = (Map<String, Object>) iterator.next();
+                parameters.add(
+                        new StoredProcedureMeta.Parameter(
+                                (String) field.get("name"),
+                                typeConvertor.convert(
+                                        new GSDataTypeDesc(
+                                                (Map<String, Object>) field.get("type")))));
+            }
             return parameters;
         }
-        Iterator iterator = config.iterator();
-        while (iterator.hasNext()) {
-            Map<String, Object> field = (Map<String, Object>) iterator.next();
-            parameters.add(
-                    new StoredProcedureMeta.Parameter(
-                            (String) field.get("name"),
-                            typeConvertor.convert(
-                                    new GSDataTypeDesc((Map<String, Object>) field.get("type")))));
-        }
-        return parameters;
     }
 
     public enum Mode implements GraphPlanExecutor {
diff --git a/interactive_engine/compiler/src/main/java/org/apache/calcite/sql/type/GraphOperandTypes.java b/interactive_engine/compiler/src/main/java/org/apache/calcite/sql/type/GraphOperandTypes.java
index 2522b5e00991..b75b862c8530 100644
--- a/interactive_engine/compiler/src/main/java/org/apache/calcite/sql/type/GraphOperandTypes.java
+++ b/interactive_engine/compiler/src/main/java/org/apache/calcite/sql/type/GraphOperandTypes.java
@@ -81,10 +81,6 @@ public abstract class GraphOperandTypes {
      * @param families
      * @return
      */
-    //    public static FamilyOperandTypeChecker family(SqlTypeFamily... families) {
-    //        return new GraphFamilyOperandTypeChecker(ImmutableList.copyOf(families), i -> false);
-    //    }
-
     public static FamilyOperandTypeChecker family(RelDataTypeFamily... families) {
         return new GraphFamilyOperandTypeChecker(ImmutableList.copyOf(families), i -> false);
     }