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Heh, cool concept. Could maybe add some interactive configuration common password gen tools have like choose length, characters used (upper, lower, numbers, symbols) so people not accustomed to regex can play with (and see how for each configuration the regex changes).

Your regex-utils library also interesting, especially the set operations part.

Nice, wonder if this can integrated into password managers!
When I use the following constraints:

    ^.{6,8}$
    [0-9]
    [A-Z]
    [a-z]
I get:

    F񣛯7򴘇󢎺򋛠o
    d1󴆂󯹓󶄁񪥴A񴊆
    𑐟Ku򍅼󨫢9􆯩
    𑍞4񾋚𢗏Rw򂚃񷰗
    I򹪴𦢺򎐝2𵞎򓛹r
I don't think those block chars should be there. Am I missing something?
It picks characters from the whole unicode range. Those strings should indeed match all regex constraints. You can add a constraint like:

    ^[\x21-\x7E]*$
To only choose printable ASCII characters.

EDIT: no you're right, there is a bug. I would expect random unicode chars but not always the same box.

Actually no again, I think the browser can just not render those.