@Carl Love Very illuminating! Thank you very much.

The Float() are just the rational numbers n/101 where n=0...100 or? I guess that's what happens also with other generators?

Why do you call the procedures

ModuleApply:=...

ModuleLoad:=...

? Do these names serve any purpose?

@mmcdara So, but I do need to call randomize() before rand(0.0..1.0) in order for rand to give different random numbers, or? Are the numbers by randomize pseudo-random or true random numbers?

Do you mind explaining what is happening here?

restart;
Seed := randomize();
rfloat := rand(0. .. 1.0);
rfloat();

what is the randomize thing doing to rand?

@acer What purpose does "evala" serve here?

@acer I do know that combining your mentioned commands sometimes effectively improves the outcome, but that the difference is so huge as in this example were simplify completely fails surprises me. Do you have more examples?

@acer At least it means that polylog was "touched". I don't really want to fight about it, but it is probably a bug, that will be fixed in a future update?

@acer https://www.mapleprimes.com/questions/226254-Polylog-Vs-Dilog

@acer Not all, but Maple2019 advertised for a big overhaul of simplifications like this, didn't it?

@acer Weren't things like this supposed to be fixed with version 2019 ?

@vv Sorry you are right. I mixed it up with

`assuming`([simplify(expand((coth(x)^(1/3)-tanh(x)^(1/3))^2+4))], [x > 0])

@vv Maple2019? With 2015 this does not work at all..

@Christopher2222 Thanks, but generally this does not work. Try this one

`assuming`([simplify(combine((coth(x)^(1/3)-tanh(x)^(1/3))^2+4, trig))], [x > 0])

@acer Windows10 + Maple2019

@acer Thanks!

How do I get the inline answer as in ctrl+= ?

@acer Ok thanks. That's unfortunate.