I have a large function (~2800 characters) with a high degree of nesting with parenthesis (more than 32 levels). I need to get it into a more simple form so it’s parseable by other programs. I know that there are repeating subexpressions within the function that if eliminated (or “simplified” in some way) could allow the nesting level to drop low enough - but I don’t know what the subexpression are, only that they exist.
However, I’m running into some issues. I’m mainly working with the Simplify function, but it doesn’t seem to quite understand what I want. Below is an example formula for illustration (note that it doesn’t happen to contain repeating subexpressions):
y = 0.61 + 0.12x(1)cos(84.54x(2)) + 0.55gauss(2.46 - 17.36sin(sinh(x(2)))cos(2.75sin(sinh(x(2)))))/(1.39 + 0.13x(2)cos(84.54x(2)))
x(1) and x(2) are each distinct variables, which Mathematica seemed to have difficulty with at first so I replaced them with a coding that I can later reverse, as shown below:
y = 0.61 + 0.12x$a$cos(84.54x$b$) + 0.55gauss(2.46 - 17.36sin(sinh(x$b$))cos(2.75sin(sinh(x$b$))))/(1.39 + 0.13x$b$cos(84.54x$b$))
That fix seemed to work. However, the problem I’m stuck on is that Matematica doesn’t seem to understand the difference between functions and variables; i.e. running Simplify on the formula above produces the formula below, which breaks some rules (for example; cos, sin, sinh don’t seem to have inputs anymore).
y = 0.61 + 10.14cosx$a$x$b$ + (gauss(0.12 - 2.39cossin^2sinh^2x$b$^2))/ (0.13 + 1.cosx$b$^2)
Can anyone give me some advice on how to solve this?