Math software comparison

[admin]

I have found a command evalf(diff(ln(x),x$10000)) which produces -2.846259681E35655/x^10000. It shows that Maple 13 has many very well hidden features.
The Maple speed of differentiation is amazing but I cannot find out in which field they take advantage of that. Derivatives of high orders are not interesting by themselves. All my attempts to compare algorithms of differentiation yielded no result. It seems that speed is achieved just by careful codding in C++. CLI interpreter is not very effective in performance comparing to C++ codding. I need to work out all string operations.