The first is a grade 86e gem amped by grade 85e amps. I forgot to record its unamped stats, so a calculation will have to do for now. Mana leech divided by its bloodbound, then by the trap mastery bonus of 4.8 (+380%) then subtract the extra mana leech displayed, gives 23,177,423,426,504.48 mana per hit. Remultiplying by its bloodbound gives 747,399,591,943,678,856.728 (747.4 quadrillion) mana per hit.
The final gem is the second gem amped by 6 grade 85e amps. To calculate its total mana per hit, we divide the second gem's mana output by its bloodbound, to get 25,123,543,730,891.93 (25 trillion) per hit. Adding the additional mana leech given by the amps, and remultiplying by the bloodbound, we get 2,069,488,253,933,871,394.79 (2 quintillion) per hit. Multiplying that by the barrage bonus, and then the trap mastery bonus of 4.8, we get 12,913,606,704,547,357,503.49 (12.9 quintillion) per hit.
What is that final value actually displayed as? 1.29136070644096e+21, which equates to 1.29 sextillion per hit.
So, due to some weird conversion bug, beautify effectively overestimates the total mana per hit by a factor of 100!