New rules affect on Tigurius Psychic Test Rerolls

[KJQ]

Tigurius's psychic hood allows him to "reroll failed psychic tests".  Since the new rules define a psychic test as being one or more D6 dice being rolled from a warp charge pool and a passed test being getting a number of 4+ rolls equal to or greater than the warp charge cost of the power being sought, what now happens on the failure?  Do all dice get re-rolled, or only the dice that were less than 4+?  

A related question. Since rolling two or more sixes (perils of the warp) now likely constitutes a successful psychic test (unless WC3 is needed and only the two sixes were 4+), I'm assuming Tiggy has to roll on the new perils table and can't reroll any dice?

[Fibonacci]

In general, when a re-roll is allowed, all dice must be re-rolled unless the rule specifically says you may roll some but not all.

 

For example, re-rolls when using the scatter dice require you re-roll both the scatter AND the dictance dice while Fleet says you may re-roll one or more dice for charge distance.  Based on that, if you choose to re-roll a psychic test you would need to re-roll ALL the dice used in the initial test.

 

About perils, this is correct.  Only fialed tests are re-rolled and even though he may have to suffer a PotW, the test was successful.