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(Incidentally, there is no such thing as a user manual for PioSOLVER, is there? Only a bunch of feature review videos and tutorial videos? I can deal with that but I'd like to make sure I am not missing on a possible source of documentation.)
The reason we don't have a manual is that maintaining a manual would discourage us from adding/improving things as then the manual has to be updated as well. This is just too much work and it's the way most software goes these days. Manual is a good idea if you release something and don't issue updates.
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'75 - a number is interpreted as % of the pot. So expression 75 will add to the tree bet or raise 100% of the pot. In case of raise it’s calculated as “call first. And bet 100% of the pot”'
Yes, it's a mistake. It should of course be 75%.
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As for the format "3x", the FAQ states that it's a multiple of the opponent's bet or raise rather than the pot.
Yes. Another undocumented feature is adding "c" postfix, like this: 100c
This will add a bet exactly 100 chips big. This is useful for limit holdem and other variations with set bet sizes.
You can experiment with those things by building a tree and then browsing it without solving (so it doesn't take much time).
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Lastly, when we input multiple bet and/or raise sizes, in the tree browser PIO labels those sizes with arbitrary looking numbers such as "BET 18", "RAISE 65", etc. Is there any way to find out in the browser what sizes those labels correspond to? Is it safe to assume that they always are labelled by decreasing size order?
Those are labelled according to how many chips are bet at given point. So yes, they are sorted from the biggest one to the smallest one. For example on this screenshot:
https://gyazo.com/c733ec8137f8c846007341f1b8bb1d8c
The numbers on the left:
94 94 180 (368) mean:
how much OOP invested so far, how much IP invested so far, starting pot, total pot now.
As to the bet sizes there is an:
-all-in (816 chips)
-bet 258 chips (which 70% of the pot)
-bet 110 chips (which is 30% of the pot)
-check
I hope that clears things a bit.