A try for adding debugging info when each of the methods of directives controller gets called. It neither work correctly nor is configurable yet to set which directives to diagnose (you should hardcode it!). I'm just pushing it as a draft

angular-diagnostics.js

angular.module("diagnostics", [])
        .run(function($injector, $controller, $log){
            var directivesToInspect = [];
            directivesToInspect.forEach(function(directiveName){
                $injector.get(directiveName + "Directive").forEach(function(directive){
                    if(angular.isArray(directive.controller)){
                        var Ctrl = directive.controller[directive.controller.length-1];
                        directive.controller[directive.controller.length-1] = function(){
                            var locals = {};
                            for(var i=0; i<arguments.length; i++){
                                locals[directive.controller[i]] = arguments[i];
                            }
                            var ctrlInstance = $controller(Ctrl, locals);
                            angular.forEach(ctrlInstance, function(value, key){
                                if(angular.isFunction(value) && !value.noDiagnostic &&
                                    (directive.noDiagnostic || []).indexOf(key) < 0){
                                    var fn = value;
                                    $log.debug("decorating controller function: " + directiveName + "." + key);
                                    ctrlInstance[key] = function(){
                                        $log.debug("inspector: call to function: " + directiveName + "." + key);
                                        fn.apply(ctrlInstance, arguments);
                                    }
                                }
                            });
                            return ctrlInstance;
                        }
                    }
                });
            });
        })