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Pro Compiles to multiple platforms and languages
Haxe allows you to develop for Web, iOS, Android, Blackberry, Windows, OSX, Linux and others, all at once, without the need to switch languages and maintain separate code bases.
Support for even more platforms and languages is under development.
Pro Powerfully expressive but easy to learn
The language was designed to be very expressive with the smallest possible amount of syntactic sugar. There are actually fewer keywords than other languages with similar power.
Pro Pick up errors at compile time
Pro First class code completion
Code completion is built into the compiler and available to the IDE allowing for much smarter code completion that can actually parse and understand the syntax tree.
Pro Syntactic macros
Syntactic macros allow you to extend compiler features at the syntax tree step. Macros come into play after code is parsed into the abstract syntax tree, and macros allow you to transform it before the rest of the compilation completes.
This provides for immense power, while at the same time scoping the extensibility at a level that is powerful, but well constrained.
Pro Code reuse server side and client side
You can use the same classes on the server as you do on the client where applicable. This saves a lot of time.
Pro Extremely fast compilation
Haxe can easily compile over 100,000 lines of code to JS in seconds on a mid-spec computer.
Pro Ability to use existing JS libraries
Haxe has the ability to use "externs". These are haxe files which describe the usage of existing JS libraries. Get code completion and compile-time-checking for everything from jQuery to Node.js.
Even without externs, native JS code can still be used through untyped code.
Pro Small, readable output
The output that is generated can be trimmed using "dead code elimination" to only include those functions and libraries that are strictly necessary. All code is very readable with only minimal extras for specific functionality.
Small output is good for frontend development as file size is a major concern.
Pro Established project
Haxe has been around for more than 10 years (since 2005) and whilst not the most popular project, has had continuous growth.
Highly unlikely to disappear or for support to stop.
Pro Powerful type inference with strong typing
After a type is inferred from its context, it cannot be changed to a new type, and type safety is done at compile time so it stays safe without the extra maintenance required for static typing.
Pro Algebraic data types and pattern matching.
Pro Friendly community
Pro Offload execution to the server with remoting
Using a remoting proxy you can get type safe server to client communications, allowing for remote method execution on the server as if they were part of the client side code.
Pro Large library support. From servers to games.
Pro Package management like Java
Package tree is just directory tree, it's wonderful!
Pro Available in NPM
Pro Builtin conditional compilation support
Haxe supports conditional compilation, so depending on compiler flags Haxe will include or exlcude sections of your code. Making it easy to have debug and release builds.
Pro Create without needing to be limited to a language, target, or commercial ecosystem
Pro Type safety for exísting JS libraries
Haxe compiler will check types when using externs for existing libraries.
Pro Abstract enums allow constants with exhaustiveness check
You can define constants in an abstract enum and when used in a switch/case statement Haxe checks for exhaustiveness, making sure every constant is covered - with no runtime implication.
Pro Can create complex applications without needing webpack, npm or other crutches
Haxe has the power and expression to not need the npm dependancy hell that is common in js and typescript, bit it's still simple.
Pro Abstracts allows me to create more intative api's without runtime overhead
Pro Ability to skip type checking when calling non Haxe code
You should use externs when calling non Haxe code, but if you just need to call one or two external JS functions, you can skip type checking by calling untyped code.
Pro Easy to debug
Pro Clean syntax
Cor enables you to write large applications by providing a clean syntax, classes and a modular architecture to keep organized code, enforcing the writing of readable source code based on conventions.
Pro Cross platform
Pro Support coroutines
Cor support coroutines which can be chained, stopped, and synchronized, fitting very well into the web asynchronous world.
Pro Hot reload
Cor provides a smooth front-end development by furnishing a builtin hot-loader which resolves dependences and compiles source code on the fly, with just reloading the Web page. You will only need to use CLI tools to deliver a production-ready version of the app.
Pro Concurrent and parallel
Cor allows to synchronize coroutines by passing messages through channels, and supports the execution of many tasks in parallel, all of that by writing sequential code.
Con Bad support in some popular IDEs
While it has great support in Visual Studio Code and Vim for example, it still lacks support in some IDEs such as IntelliJ.
Some popular libs like JQuery have maintained externs, for any specific code or lib already in JS you have to write the externs to use it in your haxe application.
Con No Qt support
There is currently no support for Qt.
Con Full programs only
You can create small utility functions with Haxe, but generally it is a lot more work than with other JS compilers. Haxe is best used when you have a larger project.
Con It's not easy to convince people it's as good as it really is unless you can get them to really try it
Con Work in progress
Cor is still a very much young project (as of November 2015) with just one contributor, few stars on GitHub and virtually no learning resources outside the official documentation.