HTC 10

[TkSilver]

Rooting your phone will not magically increase it's performance, but it allows for a few "issues" to be fixed depending on if they are issues.

Rooting allows for access to settings like the governor, this is the code that tells your phone how to allow your cpu to perform tasks. (Which cores to use and how hard to run those cores) Most phones are setup for battery life not pure performance, but changing these settings to mor performance will negatively effect battery life.
Rooting may also allow your DS3/4 contorller to work, but do not root for that since it is not a guarantee even with root access and you can pick up a reasonable bt controller for android for at most $40.

Finally your HTC 10 is a relatively powerful device with the SD820 cpu and adreno 530 cpu, but it is no match for almost any computer/laptop and it will not run all psp games at fullspeed.