How to get more for your gems

I found out by plotting some data on an xy chart in an excel spreadsheet that there is a good strategy to get more for your gems when fast forwarding your TF upgrades. I found that the progression is not linear. It is parabolic. Meaning that each gem you spent in shorter fast forwards can fast forward less time than each gem spent in a longer fast forward. So here's what you do: Save up your gems, and spend as many as possible per fast forward. You will maximize how much time gets fast forwarded, and your gems will get you more :) Be patient! it will pay off in the long run! Here is my data, Hope it helps! Gems = Gem cost to fast forward Time = Total Time in minutes left to upgrade TF Days = Days left to upgrade Hours = Hours left to upgrade Minutes = Minutes left to upgrade.
Gems 	Time	Days	Hours	Minutes	MinutesPerGemSpent
500	3600	2	12	0	7.200
467	3240	2	6	0	6.938
456	3120	2	4	0	6.842
434	2880	2	0	0	6.636
389	2400	1	16	0	6.170
356	2040	1	10	0	5.730
334	1800	1	6	0	5.389
295	1414	0	23	34	4.793
265	1258	0	20	58	4.747
252	1196	0	19	56	4.746
231	1086	0	18	6	4.701
173	791	0	13	11	4.572
162	734	0	12	14	4.531
151	681	0	11	21	4.510
137	609	0	10	9	4.445
114	493	0	8	13	4.325
110	471	0	7	51	4.282
66	247	0	4	7	3.742
52	180	0	3	0	3.462
25	71	0	1	11	2.840
6	13	0	0	13	2.167
1	1	0	0	1	1.000
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