That's sort of the work I've been trying to do... if you read through the whole post I give it my current best shot and use graphs and videos that do a good job of setting it up using laymans terms, especially the MinutePhysics series narrated by Sean Carroll.
Basically the idea is that life is a process which maximizes complexity as entropy increases, by its very nature... if you consider the whole universe, there are no structures we have observed that are as complex as the structures we observe in living organisms.
The complexity of the biosphere would dwarf the complexity of the rest of our entire solar system... as in, the information required to describe the entire solar system and how it proceeds from state to state, including the storms or Jupiter and Saturn, would be trivial compared to attempts to model all the life on our planet, including the mental states of each of the 7 billion humans and the interconnected relationships of all the other bacteria, plant, fungi, etc.
This maximization occurs as life seeks to continue replicating and adapts to each other and any environment that it possibly can, even the harshest on our planet. The most advanced organisms on the planet are those which have the most complex nervous systems and thus the most complex behavior, including us (again, the complexity of the human mind most likely dwarfs the complexity of most other organisms... proven simply by being able to occupy states that allow it to understand and communicate the complexity of other organisms).
So, my thesis is that the purpose of life is to maximizes complexity, but not as an absolute, since complexity creates fragility and issues with diminishing returns on energy input. This is why I say that it the purpose is to maximize the area under the complexity curve, rather than simply maximize absolute complexity. See this graph - https://goose.us/media/complexity_entropy_graph_filled-920px...
Not sure if that was a good or not, but I appreciate any feedback on the attempt!