diff --git a/internal/graph/graph.go b/internal/graph/graph.go
index cadb178..5662a50 100644
--- a/internal/graph/graph.go
+++ b/internal/graph/graph.go
@@ -219,3 +219,79 @@ func (g *Graph[V]) TopologicallySortWithPriority(isLowerPriority func(V, V) bool
 
 	return output, nil
 }
+
+// taggedVertex pairs a vertex with its pre-computed string ID to avoid
+// repeated GetId() calls to avoid extra allocations during sorting
+type taggedVertex[V Vertex] struct {
+	v  V
+	id string
+}
+
+// TopologicallySortWithPriorityFast is an optimized version of TopologicallySortWithPriority that:
+//   - Counts incoming edges in a single pass over forward edges (no Copy + Reverse)
+//   - Pre-caches vertex ID strings to avoid repeated GetId() calls during sorting
+//
+// It produces identical output to TopologicallySortWithPriority
+func (g *Graph[V]) TopologicallySortWithPriorityFast(isLowerPriority func(V, V) bool) ([]V, error) {
+	numVertices := len(g.verticesById)
+	if numVertices == 0 {
+		return nil, nil
+	}
+
+	// Count incoming edges directly from the forward edge map
+	incomingEdgeCount := make(map[string]int, numVertices)
+	for id := range g.verticesById {
+		incomingEdgeCount[id] = 0
+	}
+	for _, adjacentEdges := range g.edges {
+		for target, hasEdge := range adjacentEdges {
+			if hasEdge {
+				incomingEdgeCount[target]++
+			}
+		}
+	}
+
+	output := make([]V, 0, numVertices)
+	for len(incomingEdgeCount) > 0 {
+		var sources []taggedVertex[V]
+		for id, count := range incomingEdgeCount {
+			if count == 0 {
+				sources = append(sources, taggedVertex[V]{v: g.verticesById[id], id: id})
+			}
+		}
+
+		sort.Slice(sources, func(i, j int) bool {
+			return sources[i].id < sources[j].id
+		})
+
+		// Take the source with the highest priority from the sorted array of sources
+		bestIdx := -1
+		for i := range sources {
+			if bestIdx == -1 || isLowerPriority(sources[bestIdx].v, sources[i].v) {
+				bestIdx = i
+			}
+		}
+		if bestIdx == -1 {
+			dotSB := strings.Builder{}
+			if err := EncodeDOT(g, &dotSB, true); err != nil {
+				dotSB.Reset()
+				dotSB.WriteString(fmt.Sprintf("failed to encode graph to DOT: %v", err))
+			}
+			return nil, fmt.Errorf("cycle detected: %+v\n%s", incomingEdgeCount, dotSB.String())
+		}
+		best := sources[bestIdx]
+
+		output = append(output, best.v)
+
+		// Decrement incoming edge counts for vertices adjacent to the removed source
+		for target, hasEdge := range g.edges[best.id] {
+			if hasEdge {
+				incomingEdgeCount[target]--
+			}
+		}
+
+		delete(incomingEdgeCount, best.id)
+	}
+
+	return output, nil
+}
diff --git a/internal/graph/graph_test.go b/internal/graph/graph_test.go
index c6b765e..5b4f3d2 100644
--- a/internal/graph/graph_test.go
+++ b/internal/graph/graph_test.go
@@ -430,3 +430,144 @@ func getVertexIds(g *Graph[vertex]) []string {
 	}
 	return output
 }
+
+// sprintfVertex is a vertex whose GetId() calls fmt.Sprintf every time
+type sprintfVertex struct {
+	objType  string
+	objId    string
+	diffType string
+	priority int
+}
+
+func (s sprintfVertex) GetId() string {
+	return fmt.Sprintf("%s:%s:%s", s.objType, s.objId, s.diffType)
+}
+
+func TestTopologicallySortWithPriorityFast(t *testing.T) {
+	// Same graph and test cases as TestTopologicallySortWithPriority to prove
+	// the fast version produces identical output.
+	// Source: https://en.wikipedia.org/wiki/Topological_sorting#Examples
+	g := NewGraph[vertex]()
+	v5 := NewV("05")
+	g.AddVertex(v5)
+	v7 := NewV("07")
+	g.AddVertex(v7)
+	v3 := NewV("03")
+	g.AddVertex(v3)
+	v11 := NewV("11")
+	g.AddVertex(v11)
+	v8 := NewV("08")
+	g.AddVertex(v8)
+	v2 := NewV("02")
+	g.AddVertex(v2)
+	v9 := NewV("09")
+	g.AddVertex(v9)
+	v10 := NewV("10")
+	g.AddVertex(v10)
+	assert.NoError(t, g.AddEdge("05", "11"))
+	assert.NoError(t, g.AddEdge("07", "11"))
+	assert.NoError(t, g.AddEdge("07", "08"))
+	assert.NoError(t, g.AddEdge("03", "08"))
+	assert.NoError(t, g.AddEdge("03", "10"))
+	assert.NoError(t, g.AddEdge("11", "02"))
+	assert.NoError(t, g.AddEdge("11", "09"))
+	assert.NoError(t, g.AddEdge("11", "10"))
+	assert.NoError(t, g.AddEdge("08", "09"))
+
+	for _, tc := range []struct {
+		name             string
+		isLowerPriority  func(v1, v2 vertex) bool
+		expectedOrdering []vertex
+	}{
+		{
+			name: "largest-numbered available vertex first (string-based GetPriority)",
+			isLowerPriority: IsLowerPriorityFromGetPriority(func(v vertex) string {
+				return v.GetId()
+			}),
+			expectedOrdering: []vertex{v7, v5, v11, v3, v10, v8, v9, v2},
+		},
+		{
+			name: "smallest-numbered available vertex first (numeric-based GetPriority)",
+			isLowerPriority: IsLowerPriorityFromGetPriority(func(v vertex) int {
+				idAsInt, err := strconv.Atoi(v.GetId())
+				require.NoError(t, err)
+				return -idAsInt
+			}),
+			expectedOrdering: []vertex{v3, v5, v7, v8, v11, v2, v9, v10},
+		},
+		{
+			name: "fewest edges first (prioritize high id's for tie breakers)",
+			isLowerPriority: func(v1, v2 vertex) bool {
+				v1EdgeCount := getEdgeCount(g, v1)
+				v2EdgeCount := getEdgeCount(g, v2)
+				if v1EdgeCount == v2EdgeCount {
+					return v1.GetId() < v2.GetId()
+				}
+				return v1EdgeCount > v2EdgeCount
+			},
+			expectedOrdering: []vertex{v5, v7, v3, v8, v11, v10, v9, v2},
+		},
+	} {
+		t.Run(tc.name, func(t *testing.T) {
+			fast, err := g.TopologicallySortWithPriorityFast(tc.isLowerPriority)
+			assert.NoError(t, err)
+			assert.Equal(t, tc.expectedOrdering, fast, "fast version should match expected ordering")
+
+			original, err := g.TopologicallySortWithPriority(tc.isLowerPriority)
+			assert.NoError(t, err)
+			assert.Equal(t, original, fast, "fast version should match original version")
+		})
+	}
+
+	// Cycle should error
+	assert.NoError(t, g.AddEdge("10", "07"))
+	_, err := g.TopologicallySortWithPriorityFast(func(_, _ vertex) bool { return false })
+	assert.Error(t, err)
+}
+
+// buildBenchGraph creates a graph with N vertices simulating schema objects,
+// using sprintfVertex
+func buildBenchGraph(n int) *Graph[sprintfVertex] {
+	g := NewGraph[sprintfVertex]()
+	for i := 0; i < n; i++ {
+		g.AddVertex(sprintfVertex{
+			objType:  "TABLE",
+			objId:    fmt.Sprintf("public.table_%04d", i),
+			diffType: "ADDALTER",
+			priority: i % 3,
+		})
+	}
+	// Add edges: each vertex i depends on vertex i-1 (linear chain)
+	// plus some cross-edges to make it more realistic
+	for i := 1; i < n; i++ {
+		src := fmt.Sprintf("TABLE:public.table_%04d:ADDALTER", i-1)
+		dst := fmt.Sprintf("TABLE:public.table_%04d:ADDALTER", i)
+		_ = g.AddEdge(src, dst)
+		// Add a cross-edge from every 10th vertex to create wider fan-out
+		if i >= 10 && i%10 == 0 {
+			crossSrc := fmt.Sprintf("TABLE:public.table_%04d:ADDALTER", i-10)
+			_ = g.AddEdge(crossSrc, dst)
+		}
+	}
+	return g
+}
+
+func BenchmarkTopologicallySortWithPriority(b *testing.B) {
+	for _, size := range []int{50, 200, 500} {
+		g := buildBenchGraph(size)
+		isLowerPriority := IsLowerPriorityFromGetPriority(func(v sprintfVertex) int {
+			return v.priority
+		})
+
+		b.Run(fmt.Sprintf("original/n=%d", size), func(b *testing.B) {
+			for i := 0; i < b.N; i++ {
+				_, _ = g.TopologicallySortWithPriority(isLowerPriority)
+			}
+		})
+		b.Run(fmt.Sprintf("fast/n=%d", size), func(b *testing.B) {
+			for i := 0; i < b.N; i++ {
+				_, _ = g.TopologicallySortWithPriorityFast(isLowerPriority)
+			}
+		})
+	}
+}
diff --git a/pkg/diff/materialized_view_sql_generator.go b/pkg/diff/materialized_view_sql_generator.go
index 9b5d216..be9bec6 100644
--- a/pkg/diff/materialized_view_sql_generator.go
+++ b/pkg/diff/materialized_view_sql_generator.go
@@ -110,15 +110,11 @@ func (mvsg *materializedViewSQLGenerator) Add(mv schema.MaterializedView) (parti
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:       addVertexId,
-			priority: sqlPrioritySooner,
-			statements: []Statement{{
-				DDL:         materializedViewSb.String(),
-				Timeout:     statementTimeoutDefault,
-				LockTimeout: lockTimeoutDefault,
-			}},
-		}},
+		vertices: []sqlVertex{newSqlVertex(addVertexId, sqlPrioritySooner, []Statement{{
+			DDL:         materializedViewSb.String(),
+			Timeout:     statementTimeoutDefault,
+			LockTimeout: lockTimeoutDefault,
+		}})},
 		dependencies: deps,
 	}, nil
 }
@@ -134,15 +130,11 @@ func (mvsg *materializedViewSQLGenerator) Delete(mv schema.MaterializedView) (pa
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:       deleteVertexId,
-			priority: sqlPriorityLater,
-			statements: []Statement{{
-				DDL:         fmt.Sprintf("DROP MATERIALIZED VIEW %s", mv.GetFQEscapedName()),
-				Timeout:     statementTimeoutDefault,
-				LockTimeout: lockTimeoutDefault,
-			}},
-		}},
+		vertices: []sqlVertex{newSqlVertex(deleteVertexId, sqlPriorityLater, []Statement{{
+			DDL:         fmt.Sprintf("DROP MATERIALIZED VIEW %s", mv.GetFQEscapedName()),
+			Timeout:     statementTimeoutDefault,
+			LockTimeout: lockTimeoutDefault,
+		}})},
 		dependencies: deps,
 	}, nil
 }
diff --git a/pkg/diff/procedure_sql_vertex_generator.go b/pkg/diff/procedure_sql_vertex_generator.go
index d9f725b..eb19b5c 100644
--- a/pkg/diff/procedure_sql_vertex_generator.go
+++ b/pkg/diff/procedure_sql_vertex_generator.go
@@ -40,22 +40,18 @@ func (p procedureSQLVertexGenerator) Add(s schema.Procedure) (partialSQLGraph, e
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:       buildProcedureVertexId(s.SchemaQualifiedName, diffTypeAddAlter),
-			priority: sqlPrioritySooner,
-			statements: []Statement{{
-				DDL:         s.Def,
-				Timeout:     statementTimeoutDefault,
-				LockTimeout: lockTimeoutDefault,
-				Hazards: []MigrationHazard{{
-					Type: MigrationHazardTypeHasUntrackableDependencies,
-					Message: "Dependencies of procedures are not tracked by Postgres. " +
-						"As a result, we cannot guarantee that this procedure's dependencies are ordered properly relative to " +
-						"this statement. For adds, this means you need to ensure that all objects this function depends on " +
-						"are added before this statement.",
-				}},
+		vertices: []sqlVertex{newSqlVertex(buildProcedureVertexId(s.SchemaQualifiedName, diffTypeAddAlter), sqlPrioritySooner, []Statement{{
+			DDL:         s.Def,
+			Timeout:     statementTimeoutDefault,
+			LockTimeout: lockTimeoutDefault,
+			Hazards: []MigrationHazard{{
+				Type: MigrationHazardTypeHasUntrackableDependencies,
+				Message: "Dependencies of procedures are not tracked by Postgres. " +
+					"As a result, we cannot guarantee that this procedure's dependencies are ordered properly relative to " +
+					"this statement. For adds, this means you need to ensure that all objects this function depends on " +
+					"are added before this statement.",
 			}},
-		}},
+		}})},
 		dependencies: deps,
 	}, nil
 }
@@ -84,22 +80,18 @@ func (p procedureSQLVertexGenerator) Delete(s schema.Procedure) (partialSQLGraph
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:       buildProcedureVertexId(s.SchemaQualifiedName, diffTypeDelete),
-			priority: sqlPriorityLater,
-			statements: []Statement{{
-				DDL:         fmt.Sprintf("DROP PROCEDURE %s", s.GetFQEscapedName()),
-				Timeout:     statementTimeoutDefault,
-				LockTimeout: lockTimeoutDefault,
-				Hazards: []MigrationHazard{{
-					Type: MigrationHazardTypeHasUntrackableDependencies,
-					Message: "Dependencies of procedures are not tracked by Postgres. " +
-						"As a result, we cannot guarantee that this procedure's dependencies are ordered properly relative to " +
-						"this statement. For drops, this means you need to ensure that all objects this function depends on " +
-						"are dropped after this statement.",
-				}},
+		vertices: []sqlVertex{newSqlVertex(buildProcedureVertexId(s.SchemaQualifiedName, diffTypeDelete), sqlPriorityLater, []Statement{{
+			DDL:         fmt.Sprintf("DROP PROCEDURE %s", s.GetFQEscapedName()),
+			Timeout:     statementTimeoutDefault,
+			LockTimeout: lockTimeoutDefault,
+			Hazards: []MigrationHazard{{
+				Type: MigrationHazardTypeHasUntrackableDependencies,
+				Message: "Dependencies of procedures are not tracked by Postgres. " +
+					"As a result, we cannot guarantee that this procedure's dependencies are ordered properly relative to " +
+					"this statement. For drops, this means you need to ensure that all objects this function depends on " +
+					"are dropped after this statement.",
 			}},
-		}},
+		}})},
 		dependencies: deps,
 	}, nil
 }
diff --git a/pkg/diff/sql_graph.go b/pkg/diff/sql_graph.go
index e5bf681..69a04cb 100644
--- a/pkg/diff/sql_graph.go
+++ b/pkg/diff/sql_graph.go
@@ -48,6 +48,10 @@ type sqlVertex struct {
 	// id is used to identify the sql vertex
 	id sqlVertexId
 
+	// idStr is the pre-computed string representation of id, cached to avoid
+	// repeated fmt.Sprintf calls (e.g., during topological sort comparisons)
+	idStr string
+
 	// priority is used to determine if the sql vertex should be included sooner or later in the topological
 	// sort of the graph
 	priority sqlPriority
@@ -56,8 +60,17 @@ type sqlVertex struct {
 	statements []Statement
 }
 
+func newSqlVertex(id sqlVertexId, priority sqlPriority, statements []Statement) sqlVertex {
+	return sqlVertex{
+		id:         id,
+		idStr:      id.String(),
+		priority:   priority,
+		statements: statements,
+	}
+}
+
 func (s sqlVertex) GetId() string {
-	return s.id.String()
+	return s.idStr
 }
 
 func (s sqlVertex) GetPriority() int {
@@ -114,7 +127,7 @@ func newSqlGraph() *sqlGraph {
 }
 
 func (s *sqlGraph) toOrderedStatements() ([]Statement, error) {
-	vertices, err := s.TopologicallySortWithPriority(graph.IsLowerPriorityFromGetPriority(func(v sqlVertex) int {
+	vertices, err := s.TopologicallySortWithPriorityFast(graph.IsLowerPriorityFromGetPriority(func(v sqlVertex) int {
 		return v.GetPriority()
 	}))
 	if err != nil {
diff --git a/pkg/diff/sql_vertex_generator.go b/pkg/diff/sql_vertex_generator.go
index 3b54459..bf85cd9 100644
--- a/pkg/diff/sql_vertex_generator.go
+++ b/pkg/diff/sql_vertex_generator.go
@@ -72,21 +72,13 @@ func mergeVertices(old, new sqlVertex) sqlVertex {
 		priority = new.priority
 	}
 
-	return sqlVertex{
-		id:         old.id,
-		priority:   priority,
-		statements: append(old.statements, new.statements...),
-	}
+	return newSqlVertex(old.id, priority, append(old.statements, new.statements...))
 }
 
 func addVertexIfNotExists(graph *sqlGraph, id sqlVertexId) {
 	if !graph.HasVertexWithId(id.String()) {
 		// Create a filler node
-		graph.AddVertex(sqlVertex{
-			id:         id,
-			priority:   sqlPriorityUnset,
-			statements: nil,
-		})
+		graph.AddVertex(newSqlVertex(id, sqlPriorityUnset, nil))
 	}
 }
 
@@ -175,11 +167,7 @@ func (s *wrappedLegacySqlVertexGenerator[S, Diff]) Add(o S) (partialSQLGraph, er
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:         s.generator.GetSQLVertexId(o, diffTypeAddAlter),
-			priority:   sqlPrioritySooner,
-			statements: statements,
-		}},
+		vertices:     []sqlVertex{newSqlVertex(s.generator.GetSQLVertexId(o, diffTypeAddAlter), sqlPrioritySooner, statements)},
 		dependencies: deps,
 	}, nil
 }
@@ -195,11 +183,7 @@ func (s *wrappedLegacySqlVertexGenerator[S, Diff]) Delete(o S) (partialSQLGraph,
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:         s.generator.GetSQLVertexId(o, diffTypeDelete),
-			priority:   sqlPriorityLater,
-			statements: statements,
-		}},
+		vertices:     []sqlVertex{newSqlVertex(s.generator.GetSQLVertexId(o, diffTypeDelete), sqlPriorityLater, statements)},
 		dependencies: deps,
 	}, nil
 }
@@ -215,11 +199,7 @@ func (s *wrappedLegacySqlVertexGenerator[S, Diff]) Alter(d Diff) (partialSQLGrap
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:         s.generator.GetSQLVertexId(d.GetNew(), diffTypeAddAlter),
-			priority:   sqlPrioritySooner,
-			statements: statements,
-		}},
+		vertices:     []sqlVertex{newSqlVertex(s.generator.GetSQLVertexId(d.GetNew(), diffTypeAddAlter), sqlPrioritySooner, statements)},
 		dependencies: deps,
 	}, nil
 }
diff --git a/pkg/diff/view_sql_generator.go b/pkg/diff/view_sql_generator.go
index d96f28d..10aa3cf 100644
--- a/pkg/diff/view_sql_generator.go
+++ b/pkg/diff/view_sql_generator.go
@@ -105,15 +105,11 @@ func (vsg *viewSQLGenerator) Add(v schema.View) (partialSQLGraph, error) {
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:       addVertexId,
-			priority: sqlPrioritySooner,
-			statements: []Statement{{
-				DDL:         viewSb.String(),
-				Timeout:     statementTimeoutDefault,
-				LockTimeout: lockTimeoutDefault,
-			}},
-		}},
+		vertices: []sqlVertex{newSqlVertex(addVertexId, sqlPrioritySooner, []Statement{{
+			DDL:         viewSb.String(),
+			Timeout:     statementTimeoutDefault,
+			LockTimeout: lockTimeoutDefault,
+		}})},
 		dependencies: deps,
 	}, nil
 }
@@ -129,15 +125,11 @@ func (vsg *viewSQLGenerator) Delete(v schema.View) (partialSQLGraph, error) {
 	}
 
 	return partialSQLGraph{
-		vertices: []sqlVertex{{
-			id:       deleteVertexId,
-			priority: sqlPriorityLater,
-			statements: []Statement{{
-				DDL:         fmt.Sprintf("DROP VIEW %s", v.GetFQEscapedName()),
-				Timeout:     statementTimeoutDefault,
-				LockTimeout: lockTimeoutDefault,
-			}},
-		}},
+		vertices: []sqlVertex{newSqlVertex(deleteVertexId, sqlPriorityLater, []Statement{{
+			DDL:         fmt.Sprintf("DROP VIEW %s", v.GetFQEscapedName()),
+			Timeout:     statementTimeoutDefault,
+			LockTimeout: lockTimeoutDefault,
+		}})},
 		dependencies: deps,
 	}, nil
 }