There are three useful services provided by AngularJS for view rendering and evaluating expression which it uses internally.

$interpolate :- This service simply takes a string and is used to evaluate expressions. We can run the entire string and this interpolate will give you the result. e.g usage of $interpolate-

var string = 'I am {{name}}';
$scope.name = 'Munmun';
$interpolate(string)($scope);

$complie :- This service takes the complete markup and converts a html string in a fully functional DOM element. This DOM would work same as a DOM element as it would have all linking and events. This uses $parse internally for evaluating expressions. e.g usage of $compile would be-

var html = '<div ng-click='egclick();'>{{something}}</div>';
$compile(html)($scope);

$parse :- This service is used as a getter/setter for individual expression. It is basically used by $interpolate to evaluate single variable against a scope. e.g usage of $parse-
 

$scope.msg = 'hello';
$parse('msg')($scope); //this will result in hello
$parse('msg').assign($scope,'happy');