More nuanced detection of furnace/AC run #32
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Following #30 and #31, what if you're in a shoulder season? Maybe check monotonicity as well as rate of increase/decrease of temperature.
#34 is pretty close, but there are long stretches of what look like "increase and then constant" temperatures that throw off calculations. Example would look like [60.1, 60.4, 60.4, 60.4, 60.4, 60.4], which would pass both the "increasing or constant?" and the "are they all the same?" tests and get included.
E.g.,

It's probably okay to not include constant values--it might lose a minute or so when flat in between increases in temperature (and break streaks into multiple streaks), but would avoid the issue in the previous comment.