Time management parameter changes

[XInTheDark]

1. Tune time management parameters.
2. Scale the optimum time and maximum time parameters based on the amount of time left, using a logarithmic scale.

Many acknowledgements to @FauziAkram for tuning the parameters and for the original idea (see https://tests.stockfishchess.org/tests/view/652f0356de6d262d08d333c5).

STC: https://tests.stockfishchess.org/tests/view/6533938fde6d262d08d39e4d
LLR: 2.94 (-2.94,2.94) <0.00,2.00>
Total: 44320 W: 11301 L: 10982 D: 22037
Ptnml(0-2): 146, 4810, 11920, 5147, 137

LTC: https://tests.stockfishchess.org/tests/view/653477e4de6d262d08d3ae06
LLR: 2.95 (-2.94,2.94) <0.50,2.50>
Total: 146442 W: 37338 L: 36811 D: 72293
Ptnml(0-2): 60, 14975, 42645, 15460, 81

Verification runs:
3+0.03: https://tests.stockfishchess.org/tests/view/65364e7ef127f3553505178a
10+0: https://tests.stockfishchess.org/tests/view/65364e9ff127f3553505178f
180+1.8: https://tests.stockfishchess.org/tests/view/65364ec3f127f35535051794

Bench: 1241996

[vondele]

can you run some additional tests of this PR on different TCs, as we have done for time mgmt patches before (non-regression is fine). In particular, I'd like to see what happens at short TC (e.g. 3+0.03), sudden death (10+0), and VLTC (180+1.8).

[FauziAkram]

I don't think it's cool to snipe someone's idea while they're still testing it. I've taken inspiration from other developers too, but I always make sure they've finished all their testing first, and I usually wait a few months after their last test just to be sure they're not onto something related.

Right now, I've got an LTC in progress, and I'm waiting to see if it works out or not before trying some other stuff (I was about to try a version very similar to what you did). So, it's kind of a bummer when someone uses my idea while I'm still in the middle of testing and tweaking.

I hope next time you can able more patient and let the developer finish all their tests before we jump in on their ideas. It's just fair play.

[Disservin]

@FauziAkram I've added you as a Co-Author to this PR, see cf3dbcb. Given your influence on it.
Maybe first communicate with @FauziAkram on discord @XInTheDark and coordinate your ideas ;)