With the remarkable recent rise in the production of battery-powered devices, their reliability analysis cannot disregard the assessment of battery life. In the literature, there are several battery cycle life models that exhibit a generic trade-off between generality and accuracy.In this work we propose a compact cycle life model for batteries of different chemistries. Model parameters are obtained by fitting the curve based on information reported in datasheets, and can be adapted to the quantity and type of available data. Furthermore, we extend the basic model by including some derating factors when considering temperature and current rate as stress factors in cycle life.Applying the model to various commercial batteries yields an average estimation error, in terms of the number of cycles, generally smaller than 10 %. This is consistent with the typical tolerance provided in the datasheets.