Methods and systems are provided for a browser in a client device that receives a user interface script-code snippet from a web page. A chain logic engine determines whether an in-memory map indicates an output value of prior execution of the UI script-code snippet. If the in-memory map does indicate the output value, it is returned from the in-memory map to generate the user interface. If not, the engine determines whether an in-local storage map indicates the prior executed snippet output. If the in-local storage map indicates the prior executed snippet output, it is returned from the in-local storage map to generate the user interface, and it is stored in the in-memory map. If not, the UI script-code snippet is executed to generate the output value, which is used to generate the user interface, and is stored in the in-memory map and in the in-local storage map.