Using nova twice would mean 2 quanta, in addition to the 3 turns, is 5 quanta...
With the immolation it would be 12, that's enough to take out the Lava golems.
All the quanta is accounted for since that 2 quanta in each type was available for use. This brings the cards into question...
According to your screenshot, it only looks like he played 8 cards, this is including the 2 novas and photon and immolation combo. You also seem unsure about the second use of photon and immolation... Playing 8 cards (up to 10 or 11) in 2 or 3 turns seems fine to me.