diff --git a/pkg/planner/core/generator/hash64_equals/hash64_equals_generator.go b/pkg/planner/core/generator/hash64_equals/hash64_equals_generator.go
index b3d22ec531..824ad9ba44 100644
--- a/pkg/planner/core/generator/hash64_equals/hash64_equals_generator.go
+++ b/pkg/planner/core/generator/hash64_equals/hash64_equals_generator.go
@@ -39,8 +39,8 @@ func GenHash64Equals4LogicalOps() ([]byte, error) {
 	var structures = []any{logicalop.LogicalJoin{}, logicalop.LogicalAggregation{}, logicalop.LogicalApply{},
 		logicalop.LogicalExpand{}, logicalop.LogicalLimit{}, logicalop.LogicalMaxOneRow{}, logicalop.DataSource{},
 		logicalop.LogicalMemTable{}, logicalop.LogicalUnionAll{}, logicalop.LogicalPartitionUnionAll{}, logicalop.LogicalProjection{},
-		logicalop.LogicalSelection{}, logicalop.LogicalShow{}, logicalop.LogicalShowDDLJobs{}, logicalop.LogicalSort{},
-		logicalop.LogicalTableDual{}, logicalop.LogicalTopN{}, logicalop.LogicalUnionScan{}, logicalop.LogicalWindow{},
+		logicalop.LogicalSelection{}, logicalop.LogicalSequence{}, logicalop.LogicalShow{}, logicalop.LogicalShowDDLJobs{},
+		logicalop.LogicalSort{}, logicalop.LogicalTableDual{}, logicalop.LogicalTopN{}, logicalop.LogicalUnionScan{}, logicalop.LogicalWindow{},
 	}
 	c := new(cc)
 	c.write(codeGenHash64EqualsPrefix)
@@ -139,6 +139,8 @@ func logicalOpName2PlanCodecString(name string) string {
 		return "plancodec.TypeProj"
 	case "LogicalSelection":
 		return "plancodec.TypeSel"
+	case "LogicalSequence":
+		return "plancodec.TypeSequence"
 	case "LogicalShow":
 		return "plancodec.TypeShow"
 	case "LogicalShowDDLJobs":
diff --git a/pkg/planner/core/operator/logicalop/base_logical_plan.go b/pkg/planner/core/operator/logicalop/base_logical_plan.go
index 4e533b4f0e..2c67390667 100644
--- a/pkg/planner/core/operator/logicalop/base_logical_plan.go
+++ b/pkg/planner/core/operator/logicalop/base_logical_plan.go
@@ -56,13 +56,21 @@ type BaseLogicalPlan struct {
 
 // Hash64 implements HashEquals.<0th> interface.
 func (p *BaseLogicalPlan) Hash64(h base2.Hasher) {
-	intest.Assert(false, "Hash64 should not be called directly")
+	_, ok1 := p.self.(*LogicalSequence)
+	_, ok2 := p.self.(*LogicalMaxOneRow)
+	if !ok1 && !ok2 {
+		intest.Assert(false, "Hash64 should not be called directly")
+	}
 	h.HashInt(p.ID())
 }
 
 // Equals implements HashEquals.<1st> interface.
 func (p *BaseLogicalPlan) Equals(other any) bool {
-	intest.Assert(false, "Equals should not be called directly")
+	_, ok1 := p.self.(*LogicalSequence)
+	_, ok2 := p.self.(*LogicalMaxOneRow)
+	if !ok1 && !ok2 {
+		intest.Assert(false, "Equals should not be called directly")
+	}
 	if other == nil {
 		return false
 	}
diff --git a/pkg/planner/core/operator/logicalop/hash64_equals_generated.go b/pkg/planner/core/operator/logicalop/hash64_equals_generated.go
index 99444d0450..74056cc19b 100644
--- a/pkg/planner/core/operator/logicalop/hash64_equals_generated.go
+++ b/pkg/planner/core/operator/logicalop/hash64_equals_generated.go
@@ -452,6 +452,7 @@ func (op *LogicalLimit) Equals(other any) bool {
 // Hash64 implements the Hash64Equals interface.
 func (op *LogicalMaxOneRow) Hash64(h base.Hasher) {
 	h.HashString(plancodec.TypeMaxOneRow)
+	op.BaseLogicalPlan.Hash64(h)
 }
 
 // Equals implements the Hash64Equals interface, only receive *LogicalMaxOneRow pointer.
@@ -466,7 +467,9 @@ func (op *LogicalMaxOneRow) Equals(other any) bool {
 	if op2 == nil {
 		return false
 	}
-	_ = op2
+	if !op.BaseLogicalPlan.Equals(&op2.BaseLogicalPlan) {
+		return false
+	}
 	return true
 }
 
@@ -725,6 +728,30 @@ func (op *LogicalSelection) Equals(other any) bool {
 	return true
 }
 
+// Hash64 implements the Hash64Equals interface.
+func (op *LogicalSequence) Hash64(h base.Hasher) {
+	h.HashString(plancodec.TypeSequence)
+	op.BaseLogicalPlan.Hash64(h)
+}
+
+// Equals implements the Hash64Equals interface, only receive *LogicalSequence pointer.
+func (op *LogicalSequence) Equals(other any) bool {
+	op2, ok := other.(*LogicalSequence)
+	if !ok {
+		return false
+	}
+	if op == nil {
+		return op2 == nil
+	}
+	if op2 == nil {
+		return false
+	}
+	if !op.BaseLogicalPlan.Equals(&op2.BaseLogicalPlan) {
+		return false
+	}
+	return true
+}
+
 // Hash64 implements the Hash64Equals interface.
 func (op *LogicalShow) Hash64(h base.Hasher) {
 	h.HashString(plancodec.TypeShow)
diff --git a/pkg/planner/core/operator/logicalop/logical_max_one_row.go b/pkg/planner/core/operator/logicalop/logical_max_one_row.go
index 200a8ac517..686d461da0 100644
--- a/pkg/planner/core/operator/logicalop/logical_max_one_row.go
+++ b/pkg/planner/core/operator/logicalop/logical_max_one_row.go
@@ -26,7 +26,8 @@ import (
 
 // LogicalMaxOneRow checks if a query returns no more than one row.
 type LogicalMaxOneRow struct {
-	BaseLogicalPlan
+	// logical max one row, doesn't have any other attribute to distinguish, use plan id inside.
+	BaseLogicalPlan `hash64-equals:"true"`
 }
 
 // Init initializes LogicalMaxOneRow.
diff --git a/pkg/planner/core/operator/logicalop/logical_sequence.go b/pkg/planner/core/operator/logicalop/logical_sequence.go
index 4ea69496b9..9effb8712e 100644
--- a/pkg/planner/core/operator/logicalop/logical_sequence.go
+++ b/pkg/planner/core/operator/logicalop/logical_sequence.go
@@ -34,7 +34,8 @@ import (
 //
 // We use this property to do complex optimizations for CTEs.
 type LogicalSequence struct {
-	BaseLogicalPlan
+	// logical sequence doesn't have any other attribute to distinguish, use plan id inside.
+	BaseLogicalPlan `hash64-equals:"true"`
 }
 
 // Init initializes LogicalSequence
diff --git a/pkg/planner/core/operator/logicalop/logicalop_test/BUILD.bazel b/pkg/planner/core/operator/logicalop/logicalop_test/BUILD.bazel
index e2d506019d..d2ffdc9066 100644
--- a/pkg/planner/core/operator/logicalop/logicalop_test/BUILD.bazel
+++ b/pkg/planner/core/operator/logicalop/logicalop_test/BUILD.bazel
@@ -8,7 +8,7 @@ go_test(
         "logical_mem_table_predicate_extractor_test.go",
     ],
     flaky = True,
-    shard_count = 27,
+    shard_count = 28,
     deps = [
         "//pkg/domain",
         "//pkg/expression",
diff --git a/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go b/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go
index 8e56fd9bfb..dfd4e81244 100644
--- a/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go
+++ b/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go
@@ -33,6 +33,26 @@ import (
 	"github.com/stretchr/testify/require"
 )
 
+func TestLogicalSequence(t *testing.T) {
+	ctx := mock.NewContext()
+	m1 := logicalop.LogicalSequence{}.Init(ctx, 1)
+	m2 := logicalop.LogicalSequence{}.Init(ctx, 1)
+	// since logical max one row doesn't have any elements, they are always indicate
+	// that they are equal.
+	hasher1 := base.NewHashEqualer()
+	hasher2 := base.NewHashEqualer()
+	m1.Hash64(hasher1)
+	m2.Hash64(hasher2)
+	require.NotEqual(t, hasher1.Sum64(), hasher2.Sum64())
+	require.False(t, m1.Equals(m2))
+
+	m2.SetID(m1.ID())
+	hasher2.Reset()
+	m2.Hash64(hasher2)
+	require.Equal(t, hasher1.Sum64(), hasher2.Sum64())
+	require.True(t, m1.Equals(m2))
+}
+
 func TestLogicalSelectionHash64Equals(t *testing.T) {
 	col1 := &expression.Column{
 		ID:      1,
@@ -278,14 +298,21 @@ func TestLogicalSchemaProducerHash64Equals(t *testing.T) {
 }
 
 func TestLogicalMaxOneRowHash64Equals(t *testing.T) {
-	m1 := &logicalop.LogicalMaxOneRow{}
-	m2 := &logicalop.LogicalMaxOneRow{}
+	ctx := mock.NewContext()
+	m1 := logicalop.LogicalMaxOneRow{}.Init(ctx, 1)
+	m2 := logicalop.LogicalMaxOneRow{}.Init(ctx, 1)
 	// since logical max one row doesn't have any elements, they are always indicate
 	// that they are equal.
 	hasher1 := base.NewHashEqualer()
 	hasher2 := base.NewHashEqualer()
 	m1.Hash64(hasher1)
 	m2.Hash64(hasher2)
+	require.NotEqual(t, hasher1.Sum64(), hasher2.Sum64())
+	require.False(t, m1.Equals(m2))
+
+	m2.SetID(m1.ID())
+	hasher2.Reset()
+	m2.Hash64(hasher2)
 	require.Equal(t, hasher1.Sum64(), hasher2.Sum64())
 	require.True(t, m1.Equals(m2))
 }