Awibrandy: Does that wrasse have a lunate (forked) tail? If so, I'd say it's P. cyaneus. P. filamentosus general have a greenish tinge below their dorsal fin.
Flasher Wrasses
One problem with Drs Fosters & Smith's description is the use of Flasher & Fairy to describe the same fish. Wrasse taxonomy classifies the two species as related, BUT distinct.