If so, my analysis amounts to a rule in search of actual usage—a prescription rather than a description. In any event, the impressive rise of "free of" against "free from" over the past 100 years suggests that the English-speaking world has become more receptive to using "free of" in place of "free from" during that period.
Me. Myself is reflexive: it denotes that the person (me) is doing something to that person (myself) and no other. It's not correct to use a reflexive pronoun unless the recipient of the action is the person doing that action. You can't mix you with myself. You can talk to me. I can talk to myself.
Similarly, “free education” is funded by the state (which is ultimately financed by taxpayers) and taught in state-run schools called state schools whereas schools that charge tuition fees are termed private schools. A private school in the US typically means fee-taking. Confusingly, in the UK, they are known as public schools.
In the context such as "free press", it means libre from censorship, "gluten-free" means libre from gluten and so on. Then there is "free stuff", why is the same word used?
"Free" is an adjective, applied to the noun "will". In keeping with normal rules, a hyphen is added if "free-will" is used as an adjective phrase vs a noun phrase.
The examples given are "toll-free number" and "accident-free driver." Specifically, in the construction you listed, the examples are: "The number is toll-free." and "The driver is accident-free." Therefore, "The program is error-free." would be the proper construction under the Chicago Manual though other style-guides may say otherwise.
Free ride dates back to 1880, while free loader is a more recent construction “freeloader (n.) also free-loader, by 1939, from free (adj.) + agent noun from load (v.)As a verb, freeload is attested by 1967 and probably is a back-formation from this”
The most obvious more formal way to say 'I'll free up time…' is simply 'I'll make time…' but neither is in any way appropriate here. You need 'I'll do it by/on Tuesday' or 'I'll do it right away' and in either case, you need to stick to it.