Display class and function names for anonymous closures in the profiler (#5355)

diff --git a/packages/devtools_app/lib/src/screens/debugger/debugger_model.dart b/packages/devtools_app/lib/src/screens/debugger/debugger_model.dart
index 2bac38f..c78a430 100644
--- a/packages/devtools_app/lib/src/screens/debugger/debugger_model.dart
+++ b/packages/devtools_app/lib/src/screens/debugger/debugger_model.dart

@@ -5,6 +5,7 @@
 import 'package:vm_service/vm_service.dart';
 
 import '../../shared/diagnostics/primitives/source_location.dart';
+import '../../shared/primitives/simple_items.dart';
 import '../../shared/primitives/trees.dart';
 import '../../shared/ui/search.dart';
 
@@ -212,8 +213,6 @@
   String get description {
     const unoptimized = '[Unoptimized] ';
     const none = '<none>';
-    const anonymousClosure = '<anonymous closure>';
-    const closure = '<closure>';
     const asyncBreak = '<async break>';
 
     if (frame.kind == FrameKind.kAsyncSuspensionMarker) {
@@ -224,7 +223,7 @@
     if (name.startsWith(unoptimized)) {
       name = name.substring(unoptimized.length);
     }
-    name = name.replaceAll(anonymousClosure, closure);
+    name = name.replaceAll(anonymousClosureName, closureName);
     name = name == none ? name : '$name';
     return name;
   }

diff --git a/packages/devtools_app/lib/src/screens/profiler/cpu_profile_model.dart b/packages/devtools_app/lib/src/screens/profiler/cpu_profile_model.dart
index e76b496..cdc1351 100644
--- a/packages/devtools_app/lib/src/screens/profiler/cpu_profile_model.dart
+++ b/packages/devtools_app/lib/src/screens/profiler/cpu_profile_model.dart

@@ -1334,6 +1334,32 @@
       if (className != null) {
         return '$className.${current.name}';
       }
+      if (current.name == anonymousClosureName &&
+          current._function is vm_service.FuncRef) {
+        final nameParts = <String?>[current.name];
+
+        final function = current._function as vm_service.FuncRef;
+        var owner = function.owner;
+        switch (owner.runtimeType) {
+          case vm_service.FuncRef:
+            owner = owner as vm_service.FuncRef;
+            final functionName = owner.name;
+
+            String? className;
+            if (owner.owner is vm_service.ClassRef) {
+              className = (owner.owner as vm_service.ClassRef).name;
+            }
+
+            nameParts.insertAll(0, [className, functionName]);
+            break;
+          case vm_service.ClassRef:
+            final className = (owner as vm_service.ClassRef).name;
+            nameParts.insert(0, className);
+        }
+
+        nameParts.removeWhere((element) => element == null);
+        return nameParts.join('.');
+      }
       return current.name;
     }
 

diff --git a/packages/devtools_app/lib/src/shared/primitives/simple_items.dart b/packages/devtools_app/lib/src/shared/primitives/simple_items.dart
index fb14060..814ca75 100644
--- a/packages/devtools_app/lib/src/shared/primitives/simple_items.dart
+++ b/packages/devtools_app/lib/src/shared/primitives/simple_items.dart

@@ -46,3 +46,7 @@
 }
 
 const String traceEventsFieldName = 'traceEvents';
+
+const closureName = '<closure>';
+
+const anonymousClosureName = '<anonymous closure>';

diff --git a/packages/devtools_app/lib/src/shared/primitives/utils.dart b/packages/devtools_app/lib/src/shared/primitives/utils.dart
index 45c5128..1a32cff 100644
--- a/packages/devtools_app/lib/src/shared/primitives/utils.dart
+++ b/packages/devtools_app/lib/src/shared/primitives/utils.dart

@@ -18,6 +18,8 @@
 import 'package:flutter/widgets.dart';
 import 'package:intl/intl.dart';
 
+import 'simple_items.dart';
+
 bool isPrivate(String member) => member.startsWith('_');
 
 /// Public properties first, then sort alphabetically
@@ -292,7 +294,7 @@
 /// See (https://github.com/dart-lang/sdk/issues/36999).
 String getSimpleStackFrameName(String? name) {
   name ??= '';
-  final newName = name.replaceAll('<anonymous closure>', '<closure>');
+  final newName = name.replaceAll(anonymousClosureName, closureName);
 
   // If the class name contains a space, then it is not a valid Dart name. We
   // throw out simplified names with spaces to prevent simplifying C++ class