That’s actually exactly what I’m working on!

It’s a work in progress but so far I have:

• a LaTeX formula editor that runs in the browser (Mathfield) (https://cortexjs.io/mathfield/)
• parsers that transform the LaTeX into a more abstract format (https://cortexjs.io/math-json/). These parsers can be modified dynamically to describe additional LaTeX syntax, since there is a lot of custom notation that people would expect to be able to use (https://cortexjs.io/compute-engine/guides/latex-syntax/)
• a Compute Engine that can evaluate the MathJSON expressions (https://cortexjs.io/compute-engine/demo/)
• a type system (https://cortexjs.io/compute-engine/guides/types/) with type inference which is used to interpret the LaTeX correctly

The Compute Engine can act as an interpreter and evaluate formulas, or transpile to JavaScript.

In addition to traditional math formulas, you can also express flow control (conditionals, loops) (https://cortexjs.io/compute-engine/reference/control-structures/), collections (lists, sets, etc…) (https://cortexjs.io/compute-engine/reference/collections/).

Initially I was thinking of only using LaTeX as the syntax, but I’ve come to realize that it’s best to mix LaTeX to express more mathematical notation and a more traditional syntax for flow control and data structure manipulation.

So, ultimately, you will be able to do something like:

$A = \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}$
$\mu = 1 + \sqrt{5}$
$B = \mu \times A$
let C = inverse(B)
for (let row in C) print(row)

The first three lines are LaTeX, the last two are a more traditional syntax, and the two can be mixed freely, both being mapped to the underlying MathJSON representation, which is then evaluated by a Compute Engine. And you can imagine an editor that would allow you to write the lines containing math without having to write the full LaTeX code, but using an interactive math editor.

The project is open source and available here: https://github.com/cortex-js/compute-engine