Very interesting. I believe that Bret Victor does the time part really well (visually) here: http://worrydream.com/MediaForThinkingTheUnthinkable/ (in demo 4).
Also, Mesh apreadsheet is very interesting in this regard, especially with K (Array based language) embedded in it. You can then write a bunch of expressions as {function} scan over initial values, both time based or otherwise. http://mesh-spreadsheet.com/