diff --git a/src/main/java/org/openrewrite/staticanalysis/ReplaceStackWithDeque.java b/src/main/java/org/openrewrite/staticanalysis/ReplaceStackWithDeque.java
index e0509264c..5dd664146 100644
--- a/src/main/java/org/openrewrite/staticanalysis/ReplaceStackWithDeque.java
+++ b/src/main/java/org/openrewrite/staticanalysis/ReplaceStackWithDeque.java
@@ -55,6 +55,16 @@ public TreeVisitor<?, ExecutionContext> getVisitor() {
             @Override
             public J.VariableDeclarations.NamedVariable visitVariable(J.VariableDeclarations.NamedVariable variable, ExecutionContext ctx) {
                 J.VariableDeclarations.NamedVariable v = super.visitVariable(variable, ctx);
+                if (v.getInitializer() == null) {
+                    return v;
+                }
+
+                Expression initializer = (Expression) new ChangeType("java.util.Stack", "java.util.ArrayDeque", false)
+                        .getVisitor().visitNonNull(v.getInitializer(), ctx, getCursor().getParentOrThrow());
+                if (initializer == v.getInitializer()) {
+                    // Not a `Stack`, so skip the data flow analysis below, which is costly on every variable in the file
+                    return v;
+                }
 
                 DataFlowSpec returned = new DataFlowSpec() {
                     @Override
@@ -68,9 +78,8 @@ public boolean isSink(DataFlowNode sinkNode) {
                     }
                 };
 
-                if (v.getInitializer() != null && FindLocalFlowPaths.noneMatch(getCursor(), returned)) {
-                    v = v.withInitializer((Expression) new ChangeType("java.util.Stack", "java.util.ArrayDeque", false)
-                            .getVisitor().visitNonNull(v.getInitializer(), ctx, getCursor().getParentOrThrow()));
+                if (FindLocalFlowPaths.noneMatch(getCursor(), returned)) {
+                    v = v.withInitializer(initializer);
                     getCursor().putMessageOnFirstEnclosing(J.VariableDeclarations.class, "replace", true);
                 }
 
diff --git a/src/test/java/org/openrewrite/staticanalysis/ReplaceStackWithDequeTest.java b/src/test/java/org/openrewrite/staticanalysis/ReplaceStackWithDequeTest.java
index 2c2a92a7e..fa6ae3086 100644
--- a/src/test/java/org/openrewrite/staticanalysis/ReplaceStackWithDequeTest.java
+++ b/src/test/java/org/openrewrite/staticanalysis/ReplaceStackWithDequeTest.java
@@ -209,4 +209,45 @@ void test(java.util.List<Test> result) {
         );
     }
 
+    @Issue("https://github.com/openrewrite/rewrite-analysis/issues/113")
+    @Test
+    void doNotFailOnDataFlowThroughNestedMethodInvocations() {
+        // Regression: dataflow was run for every initialized variable in the file, not just the `Stack`.
+        // On `Optional.ofNullable(a).orElse(opt.get())` the flow engine ping-ponged between the
+        // "argument to select" and "select to argument" steps until the stack overflowed.
+        rewriteRun(
+          //language=java
+          java(
+            """
+              import java.util.Optional;
+              import java.util.Stack;
+
+              class Test {
+                  String test(Optional<String> opt) {
+                      Stack<Integer> stack = new Stack<>();
+                      stack.push(1);
+                      String a = "x";
+                      return Optional.ofNullable(a).orElse(opt.get());
+                  }
+              }
+              """,
+            """
+              import java.util.ArrayDeque;
+              import java.util.Deque;
+              import java.util.Optional;
+              import java.util.Stack;
+
+              class Test {
+                  String test(Optional<String> opt) {
+                      Deque<Integer> stack = new ArrayDeque<>();
+                      stack.push(1);
+                      String a = "x";
+                      return Optional.ofNullable(a).orElse(opt.get());
+                  }
+              }
+              """
+          )
+        );
+    }
+
 }