Although i still doubt i will make it to the first place, i will still say what this does:
Here, i figured it will require 6 [Salt Related] atoms (Spamton do not interrupt my speech please) for all 3 products, as well as 2 more quintessences, 2 silver, 1 gold (all 3 made with projection) and 1 quicksilver.
But what do i do with the other 2 quintessential components, you may ask?
Okay okay, lemme break it down for ya.
First quint split. Obviously, the air, fire and earth will go to their respective places. But the water will be transformed in salt, then it will be reprocessed into fire. (Because i did not want the salt to go first. But anyway)
Just from the first split, we will solve:
The first moonstone
A half of the first peridot + quicksilver prepared for completing the peridot on the second split
A half of the first flame-ruby.
For the first split, we have also made 2 silver, 1 gold and 1 quicksilver for these purposes.
Second quint split. We are going to need to transform 2 of the quintessential elements (actually, the air and water, because we will actually need the earth and the fire, obviously)into salts. One of the salts, along with the fire, will complete the flame-ruby. The other salt will be transformed into earth, and will help in completing the peridot. The other earth will be used for the second peridot.
After the second quint split, we are solving:
Completing the first flame-ruby +First half of the second flame-ruby, using the fire produced from the water from the first split.
Completing the first peridot + First half of the second peridot+ quintessence for completion in the next split.
1 gold and 1 quintessence has been made during this split
Third quint split.
Obviously, the air will be used for the second moonstone. The water transformed into salt, and the fire, will be used to complete the second flame-ruby, and the earth will be used along with the quintessence for finalizing the second peridot.

Note:
All hail week 2 computation /j