🔍 Tune LMR reduction

[eduherminio]

1722:

8+0.08 👍🏽👍🏽

Score of Lynx 1722 lmr tuning vs Lynx 1717 - main: 307 - 156 - 170  [0.619] 633
...      Lynx 1722 lmr tuning playing White: 180 - 52 - 84  [0.703] 316
...      Lynx 1722 lmr tuning playing Black: 127 - 104 - 86  [0.536] 317
...      White vs Black: 284 - 179 - 170  [0.583] 633
Elo difference: 84.5 +/- 23.6, LOS: 100.0 %, DrawRatio: 26.9 %
SPRT: llr 2.95 (100.3%), lbound -2.94, ubound 2.94 - H1 was accepted

1723 vs 1722, increased divisor, use only moves instead of moves + 1

8+0.08 👍🏽

Score of Lynx 1723 lmr tuning vs Lynx 1722 lmr tuning: 2511 - 2463 - 2436  [0.503] 7410
...      Lynx 1723 lmr tuning playing White: 1654 - 825 - 1226  [0.612] 3705
...      Lynx 1723 lmr tuning playing Black: 857 - 1638 - 1210  [0.395] 3705
...      White vs Black: 3292 - 1682 - 2436  [0.609] 7410
Elo difference: 2.3 +/- 6.5, LOS: 75.2 %, DrawRatio: 32.9 %
SPRT: llr -0.114 (-3.9%), lbound -2.94, ubound 2.94

1725 vs 1723, moves +1 instead of moves

8+0.08 👎🏽

Score of Lynx 1725 - lmr vs Lynx 1723 - lmr base: 2524 - 2549 - 2727  [0.498] 7800
...      Lynx 1725 - lmr playing White: 1646 - 881 - 1373  [0.598] 3900
...      Lynx 1725 - lmr playing Black: 878 - 1668 - 1354  [0.399] 3900
...      White vs Black: 3314 - 1759 - 2727  [0.600] 7800
Elo difference: -1.1 +/- 6.2, LOS: 36.3 %, DrawRatio: 35.0 %
SPRT: llr -1.8 (-61.0%), lbound -2.94, ubound 2.94

1728 vs 1723: precalculated LMR reductions table

8+0.08 👎🏽 but non-functional changes, can only improve

Score of Lynx 1728 - lmr vs Lynx 1723 - lmr base: 765 - 769 - 776  [0.499] 2310
...      Lynx 1728 - lmr playing White: 498 - 274 - 383  [0.597] 1155
...      Lynx 1728 - lmr playing Black: 267 - 495 - 393  [0.401] 1155
...      White vs Black: 993 - 541 - 776  [0.598] 2310
Elo difference: -0.6 +/- 11.5, LOS: 45.9 %, DrawRatio: 33.6 %
SPRT: llr -0.447 (-15.2%), lbound -2.94, ubound 2.94

1731: truncating instead of rounding for LMR depth reduction calculation

8+0.08 👎🏽

Score of Lynx 1731 lmr tuning trunc vs Lynx 1728 lmr tuning base: 2428 - 2461 - 2434  [0.498] 7323
...      Lynx 1731 lmr tuning trunc playing White: 1609 - 844 - 1208  [0.604] 3661
...      Lynx 1731 lmr tuning trunc playing Black: 819 - 1617 - 1226  [0.391] 3662
...      White vs Black: 3226 - 1663 - 2434  [0.607] 7323
Elo difference: -1.6 +/- 6.5, LOS: 31.8 %, DrawRatio: 33.2 %
SPRT: llr -1.85 (-62.7%), lbound -2.94, ubound 2.94

1733: taking account promotions for reductions 👎🏽ish

8+0.08

Score of Lynx 1733 lmr tuning prom vs Lynx 1728 lmr tuning base: 904 - 908 - 958  [0.499] 2770
...      Lynx 1733 lmr tuning prom playing White: 579 - 313 - 493  [0.596] 1385
...      Lynx 1733 lmr tuning prom playing Black: 325 - 595 - 465  [0.403] 1385
...      White vs Black: 1174 - 638 - 958  [0.597] 2770
Elo difference: -0.5 +/- 10.5, LOS: 46.3 %, DrawRatio: 34.6 %
SPRT: llr -0.526 (-17.9%), lbound -2.94, ubound 2.94

1734: Don't prune killers and promotions either, not only captures (although it requires re-calculation of score):

8+0.08 ~~

Score of Lynx 1734 - lmr vs Lynx 1728 - lmr base: 5263 - 5180 - 5178  [0.503] 15621
...      Lynx 1734 - lmr playing White: 3444 - 1741 - 2626  [0.609] 7811
...      Lynx 1734 - lmr playing Black: 1819 - 3439 - 2552  [0.396] 7810
...      White vs Black: 6883 - 3560 - 5178  [0.606] 15621
Elo difference: 1.8 +/- 4.4, LOS: 79.2 %, DrawRatio: 33.1 %
SPRT: llr -0.633 (-21.5%), lbound -2.94, ubound 2.94

1737: don't reduce in promotions 👎🏽

8+0.08

Score of Lynx 1737 lmr tuning prom vs Lynx 1728 lmr tuning base: 414 - 464 - 462  [0.481] 1340
...      Lynx 1737 lmr tuning prom playing White: 280 - 173 - 218  [0.580] 671
...      Lynx 1737 lmr tuning prom playing Black: 134 - 291 - 244  [0.383] 669
...      White vs Black: 571 - 307 - 462  [0.599] 1340
Elo difference: -13.0 +/- 15.1, LOS: 4.6 %, DrawRatio: 34.5 %
SPRT: llr -1.31 (-44.5%), lbound -2.94, ubound 2.94

1742: reduce more moves with bad history (SP)

8+0.08 ~~

Score of Lynx 1742 - lmr history vs Lynx 1728 - lmr base: 2497 - 2453 - 2713  [0.503] 7663
...      Lynx 1742 - lmr history playing White: 1663 - 802 - 1367  [0.612] 3832
...      Lynx 1742 - lmr history playing Black: 834 - 1651 - 1346  [0.393] 3831
...      White vs Black: 3314 - 1636 - 2713  [0.609] 7663
Elo difference: 2.0 +/- 6.2, LOS: 73.4 %, DrawRatio: 35.4 %
SPRT: llr -0.248 (-8.4%), lbound -2.94, ubound 2.94

1746: reduce less with passed pawns

8+0.08

This made CI tests fail, so not looking promising, don't have patience for it right now

1734 + 1742 = 1748

8+0.08 ~~

   # PLAYER                  :  RATING  POINTS  PLAYED   (%)
   1 Lynx 1748 - lmr         :  1714.9  2801.0    5587    50
   2 Lynx 1728 - lmr base    :  1585.1  2786.0    5587    50

White advantage = 1133.30
Draw rate (equal opponents) = 50.00 %

40+0.4 ~~

Score of Lynx 1748 - lmr vs Lynx 1728 - lmr base: 360 - 352 - 415  [0.504] 1127
...      Lynx 1748 - lmr playing White: 248 - 108 - 208  [0.624] 564
...      Lynx 1748 - lmr playing Black: 112 - 244 - 207  [0.383] 563
...      White vs Black: 492 - 220 - 415  [0.621] 1127
Elo difference: 2.5 +/- 16.1, LOS: 61.8 %, DrawRatio: 36.8 %
SPRT: llr -0.00273 (-0.1%), lbound -2.25, ubound 2.89

---

Just double-checking before merge:
8+0.08

Score of Lynx 1753 - lmr vs Lynx 0.18.0: 240 - 96 - 123  [0.657] 459
...      Lynx 1753 - lmr playing White: 149 - 33 - 48  [0.752] 230
...      Lynx 1753 - lmr playing Black: 91 - 63 - 75  [0.561] 229
...      White vs Black: 212 - 124 - 123  [0.596] 459
Elo difference: 112.8 +/- 28.1, LOS: 100.0 %, DrawRatio: 26.8 %
SPRT: llr 2.89 (100.1%), lbound -2.25, ubound 2.89 - H1 was accepted