Fastest Way to Amass Experience I want to amass as much Chess experience as I can, by playing several games against my phone/laptop AI.
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I'm not a good player, and would estimate my ELO is &lt;1500.
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I am wondering if I would level up fastest by playing against an AI closer to my level, or by playing against my AI at the highest level.
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I've known the rules of chess for several years and been playing casually — I want to start playing seriously.
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What I most desire, is experience — and the intuition that comes with.
Playing against machines will definitely help you get better at playing against machines.  If that's the goal, go for it.

If you want to get better at Chess, you need to play several slow serious games against human opponents (both slightly above and below your skill level) on a regular basis.

The metaphor here is picking up a "learn some language in 6 months" interactive audio/software course that you do solo vs. being thrown into a village where that  is all that people speak and your ability to survive and grow  is acquired organically by making mistakes, getting critiqued with regular feedback loops as well as the social osmosis that is typical of increasing competency in any learning fraternity.

Even the mighty self-taught Fischer visited the clubs and competed against the world's finest to get from good to better.

There's also an aspect of gamesmanship, learning how to use the clock under pressure, deceptive stratagems and sub-optimum "play the man" ideas like gambits that you will NEVER pick up when practicing against a machine.  Gaining experience and intuition in a very short window of time is best achieved with a human feedback loop to help you constantly identify your weaknesses and recommend avenues of play (openings, endings, middlegame strategy) that you are clearly missing.

With that being said, seeking out human opponents at any time control is fairly easy these days via your laptop/tablet/mobile device. For instance sites like Chess.com,  Playchess and the ICC provide mobile-friendly apps that you can certainly use to get some chess in at all times of the day against human opposition.

For your kind of ambition though,  start hitting your local clubs and find (and in some cases, pay) a strong mentor to review each and every slow game you play as often as possible.