I just found, that the following doesn't work on my Ubuntu 16.04 the way it should:
$ time >file 2>&1
real 0m0.000s
user 0m0.000s
sys 0m0.000s
$ cat file
$
Output goes to terminal, the file is empty, though with 2>&1 (descriptor 2 redirect to address of descriptor 1) STDERR is supposed to go where STDOUT goes. I've been looking for existing topics on this subject, and in description of a more complicated problem such a simple one as here is usually mentioned that it does well. Why could it be misbehaving like this?
UPD: got the answer, time is a built-in command in BASH. Maybe someone puzzles over exact same thing (likely those who learn Unix with old book of Kernighan and Pike).