I managed to do it in 2:12 seconds with the following spells:

Water Cannon
Off Guard
Bristle
Final Sting

Basically, the strategy was to utilize the exploding Frost bombs to interrupt the Burst casts (Also deal damage) until getting Progenetrix low enough to pop with Final Sting (~25% life)

Since the cast order for Progenetrix is Sap > Sap > Burst with about 2ish seconds between Saps and 1 second between Sap and Burst.

So, pull boss with Off Guard. It'll then use Sap on you immediately. Go for a Water Cannon cast if you wish, otherwise, stand somewhere to the side, to let her move into position near the middle Blue Bomb. She'll then cast her second Sap and you will make your final positioning adjustment as she'll move slightly. Spam Water Cannon until the cast completes and then Bristle > Water Cannon on the middle Fire Bomb (Since Water Cannon can low roll and not one-shot it...)

At this point, Burst will be interrupted and she'll be frozen. Run to the back of the arena and position yourself to spam Water Cannons from behind one of the Blue Bombs. Dodge the Sap. Water Cannon some more. Dodge the second Sap and make final positioning adjustments. Bristle > Water Cannon the next Fire Bomb.

Then sprint over to the last pair of bombs. Spam Water Cannon while she's frozen. Dodge the Sap. Spam Water Cannon. Dodge the second Sap and make positioning adjustments. Bristle > Water Cannon the last Fire Bomb.

Then just spam Water Cannon until she's at about 25% life. Bristle > Final Sting.

GG.

Could possibly do it even without Final Sting, provided you have some other skill to add in damage (Such as Peculiar Light, Song of Torment, Veil of the Whorl?)