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I made a spreadsheet many years ago to check my MPG. By tracking my odometer reading + gas filled, it would calculate miles driven (difference in odo reading) then divided by gas I used (my full tank = 13.2 - gas just purchased) and gives my MPG. No fancy algorithms or mystical derivatives here, just simple math.
Bump into Fuelly not long ago and I have to admit, it is better looking than my spreadsheet. However, I continue to use both Fuelly and my spreadsheet as it also keeps up with maintenance and repairs. Yes, I have same MPG from either Fuelly or my spreadsheet.
Tips:
** When fill up, be sure to use nozzle's preset low/med/high (I use same setting each time I fill up). When nozzle stops, those are the #s (gallon/price/odo reading/date) you need for Fuelly.
** As I understand it, partial fill up is when you stop the nozzle manually before nozzle stops by itself. Such as one only purchased $3 in gas. That results in a partially filled tank instead of a full tank of gas, which will throw off MPG calculation. So, if you want most accurate MPG, please get a full tank of gas each time you fill up.
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tjgray3 
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