"To catch the ball" it is not decision - it is reflex. You can't think an move together(maybe some one can, but it s very very hard). You either think or you act. When you decide to "place a glass on the bench", you decide to end the control of not-doing, not at doing. you have decided to do something "because", and then you decide to wait and not do an action till the moment. It is like taut bowstring- you dont need a decision to shoot, you need to decide when you release the bowstring. All other action is the reflex of bowing, catching and else serial of simple motions, that are unconscious.
Time is an illusion with reflection. You don't have a clock in the head with either mechanic or atomic. To feel the moment of time - is a reflex. Reflexes accuracy depends training, not on thought decision. But reflex consists of simple segments, you may make an effort to switch the segment, but if fast moment it is not a decision. There is time limit the braine become aware of what is happening - read about Libet Experiment. There is a gap between braine activity (the decide, probably) connecting to nervous and motions about 250+250* ms between thinking and doing. Also the nervous accepting the braine signals/commands is different, fastest and most precise are eyes and fingers - Fine motor skills. In theory FMS needed to create definitions for braine primarily, in you don't able to write small symbols by hand. your braine haven't small segments of reflections, that mean that your braine have less ability to make fast switching between other simple actions.
The speed and the precision are close and work together. But not all decisions need fast and accurately execution. Strategic, tactic and technically are not same. You can up the catching skill if you think out the plane of the trainers, or change a starting position before catching. What is the decision to catch? - you don't need it if you had prepared.
So, you formula needs more variables, and the chaos is not a variable - it is a measurement error, and other accidents, and the black swans rarely. And this is only if the black swan is not a reality, but it esti, that means the chaos is not the swans - not the reality's "answer", but your self decide.
*250ms is a middle number, im retard and have 300 ms on fingers reaction(reflex) speed, Messi i think have 100-150 ms.