simplification causing out of memory error

[JBird]

Greetings all

I would like to simplify the expression in the attached worksheet (and image), however I am faced with the "out of memory" error, which occurs after about 30minutes of processing. I have 16GB ram, i7-4790 CPU at 3.6Ghz, 64 bit Windows 10, MathCAD version 15.

Please note that all letters are variables, and I intend for none of them to hold any particular value. To avoid confusing MathCAD I have tried replacing e,i, and j by different letters, but to no avail.

I predict that the result will be in numerator/denominator form, with numerator having a sum of  x^2*y^2, x^2, y^2, xy, and the denomiator having neither x nor y.

Please would someone comment on the use of "simplify,max" and if it has any relevance to me.

Thank you kindly.

[Werner_E]

I noticed that ther is one big expression occurs twice in your term and so I thought that we could have more success with some kind of substitutiuon. I guess without luck (didn't wait for the last expression to finish simplfying).

I think the painful truth is that Mathcads symbolics simply isn't good enough.

Furthermore I won't expect a short result expression - it rather would be quite large, I guess.

[-MFra-]

Hi,

a possible simplification could be the following:

[JBird]

Thank you both for your input.

Essentially I need to equate the co-efficients of x.x y.y and x.y to another equation, so F.M's simplification may hold high value.

Thanks once again

[mvenich]

For something like this, you might want to think about using Maple. Mathcad's symbolics aren't strong enough.