🔍 Adjust spsa steps for depth limits + retune

[eduherminio]

• Allow int spsa attribute steps to be double
• Print step % vs the (Max-Min) value
• Adjust some steps to be close to 5% (1/20), mostly for min/max depths

WF tuning at 20+0.2:

Test  | spsa/adjust-steps
Elo   | 5.00 +- 3.65 (95%)
SPRT  | 40.0+0.40s Threads=1 Hash=128MB
LLR   | 2.90 (-2.25, 2.89) [0.00, 3.00]
Games | 20294: +6082 -5790 =8422
Penta | [567, 2355, 4067, 2535, 623]
https://openbench.lynx-chess.com/test/340/

state.json

{
   "t":42688,
   "spsa_params":{
      "a":1.0,
      "c":1.0,
      "A":200,
      "alpha":0.601,
      "gamma":0.102
   },
   "uci_params":[
      {
         "name":"LMR_MinDepth",
         "value":2.8268156204660606,
         "min_value":2,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"LMR_MinFullDepthSearchedMoves",
         "value":3.4717255564639977,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"LMR_Base",
         "value":83.44917883999626,
         "min_value":10,
         "max_value":200,
         "step":10
      },
      {
         "name":"LMR_Divisor",
         "value":343.1047005660493,
         "min_value":100,
         "max_value":500,
         "step":10
      },
      {
         "name":"NMP_MinDepth",
         "value":1.7342703693219679,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"NMP_BaseDepthReduction",
         "value":1.9775965097422588,
         "min_value":1,
         "max_value":5,
         "step":0.5
      },
      {
         "name":"NMP_DepthIncrement",
         "value":0.7976591652874657,
         "min_value":0,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"NMP_DepthDivisor",
         "value":4.368186754525798,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"AspirationWindow_Delta",
         "value":13.240476681114458,
         "min_value":1,
         "max_value":100,
         "step":5
      },
      {
         "name":"AspirationWindow_MinDepth",
         "value":8.428905280664129,
         "min_value":1,
         "max_value":20,
         "step":1
      },
      {
         "name":"RFP_MaxDepth",
         "value":6.484363480556873,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"RFP_DepthScalingFactor",
         "value":96.78397324622169,
         "min_value":1,
         "max_value":300,
         "step":15
      },
      {
         "name":"Razoring_MaxDepth",
         "value":1.0878335322850632,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"Razoring_Depth1Bonus",
         "value":127.23415510165499,
         "min_value":1,
         "max_value":300,
         "step":15
      },
      {
         "name":"Razoring_NotDepth1Bonus",
         "value":149.17422507178492,
         "min_value":1,
         "max_value":300,
         "step":15
      },
      {
         "name":"IIR_MinDepth",
         "value":3.6107460285886255,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"LMP_MaxDepth",
         "value":5.6313222219579515,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"LMP_BaseMovesToTry",
         "value":0.13646984012136912,
         "min_value":0,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"LMP_MovesDepthMultiplier",
         "value":3.292520372798406,
         "min_value":0,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"SEE_BadCaptureReduction",
         "value":1.4042014937097036,
         "min_value":0,
         "max_value":6,
         "step":0.5
      },
      {
         "name":"FP_MaxDepth",
         "value":5.077205301370297,
         "min_value":1,
         "max_value":10,
         "step":0.5
      },
      {
         "name":"FP_DepthScalingFactor",
         "value":61.95922161529346,
         "min_value":1,
         "max_value":200,
         "step":10
      },
      {
         "name":"FP_Margin",
         "value":170.1490387241193,
         "min_value":0,
         "max_value":500,
         "step":25
      }
   ]
}