// Futility margin
Value futility_margin(Depth d, bool improving) {
- return Value(154 * (d - improving));
+ return Value(140 * (d - improving));
}
// Reductions lookup table, initialized at startup
Depth reduction(bool i, Depth d, int mn, Value delta, Value rootDelta) {
int r = Reductions[d] * Reductions[mn];
- return (r + 1449 - int(delta) * 1032 / int(rootDelta)) / 1024 + (!i && r > 941);
+ return (r + 1372 - int(delta) * 1073 / int(rootDelta)) / 1024 + (!i && r > 936);
}
constexpr int futility_move_count(bool improving, Depth depth) {
// History and stats update bonus, based on depth
int stat_bonus(Depth d) {
- return std::min(340 * d - 470, 1855);
+ return std::min(336 * d - 547, 1561);
}
// Add a small random component to draw evaluations to avoid 3-fold blindness
void Search::init() {
for (int i = 1; i < MAX_MOVES; ++i)
- Reductions[i] = int((19.47 + std::log(Threads.size()) / 2) * std::log(i));
+ Reductions[i] = int((20.57 + std::log(Threads.size()) / 2) * std::log(i));
}
ss->pv = pv;
- bestValue = delta = alpha = -VALUE_INFINITE;
- beta = VALUE_INFINITE;
+ bestValue = -VALUE_INFINITE;
if (mainThread)
{
multiPV = std::min(multiPV, rootMoves.size());
- complexityAverage.set(153, 1);
-
- optimism[us] = optimism[~us] = VALUE_ZERO;
-
int searchAgainCounter = 0;
// Iterative deepening loop until requested to stop or the target depth is reached
selDepth = 0;
// Reset aspiration window starting size
- if (rootDepth >= 4)
- {
- Value prev = rootMoves[pvIdx].averageScore;
- delta = Value(10) + int(prev) * prev / 16502;
- alpha = std::max(prev - delta,-VALUE_INFINITE);
- beta = std::min(prev + delta, VALUE_INFINITE);
-
- // Adjust optimism based on root move's previousScore
- int opt = 120 * prev / (std::abs(prev) + 161);
- optimism[ us] = Value(opt);
- optimism[~us] = -optimism[us];
- }
+ Value prev = rootMoves[pvIdx].averageScore;
+ delta = Value(10) + int(prev) * prev / 15799;
+ alpha = std::max(prev - delta,-VALUE_INFINITE);
+ beta = std::min(prev + delta, VALUE_INFINITE);
+
+ // Adjust optimism based on root move's previousScore
+ int opt = 109 * prev / (std::abs(prev) + 141);
+ optimism[ us] = Value(opt);
+ optimism[~us] = -optimism[us];
// Start with a small aspiration window and, in the case of a fail
// high/low, re-search with a bigger window until we don't fail
else
break;
- delta += delta / 4 + 2;
+ delta += delta / 3;
assert(alpha >= -VALUE_INFINITE && beta <= VALUE_INFINITE);
}
timeReduction = lastBestMoveDepth + 8 < completedDepth ? 1.57 : 0.65;
double reduction = (1.4 + mainThread->previousTimeReduction) / (2.08 * timeReduction);
double bestMoveInstability = 1 + 1.8 * totBestMoveChanges / Threads.size();
- int complexity = mainThread->complexityAverage.value();
- double complexPosition = std::min(1.03 + (complexity - 241) / 1552.0, 1.45);
- double totalTime = Time.optimum() * fallingEval * reduction * bestMoveInstability * complexPosition;
+ double totalTime = Time.optimum() * fallingEval * reduction * bestMoveInstability;
// Cap used time in case of a single legal move for a better viewer experience in tournaments
// yielding correct scores and sufficiently fast moves.
bool givesCheck, improving, priorCapture, singularQuietLMR;
bool capture, moveCountPruning, ttCapture;
Piece movedPiece;
- int moveCount, captureCount, quietCount, improvement, complexity;
+ int moveCount, captureCount, quietCount, improvement;
// Step 1. Initialize node
Thread* thisThread = pos.this_thread();
// At non-PV nodes we check for an early TT cutoff
if ( !PvNode
- && ss->ttHit
&& !excludedMove
&& tte->depth() > depth - (tte->bound() == BOUND_EXACT)
- && ttValue != VALUE_NONE // Possible in case of TT access race
+ && ttValue != VALUE_NONE // Possible in case of TT access race or if !ttHit
&& (tte->bound() & (ttValue >= beta ? BOUND_LOWER : BOUND_UPPER)))
{
// If ttMove is quiet, update move sorting heuristics on TT hit (~2 Elo)
ss->staticEval = eval = VALUE_NONE;
improving = false;
improvement = 0;
- complexity = 0;
goto moves_loop;
}
else if (excludedMove)
// Providing the hint that this node's accumulator will be used often brings significant Elo gain (13 Elo)
Eval::NNUE::hint_common_parent_position(pos);
eval = ss->staticEval;
- complexity = abs(ss->staticEval - pos.psq_eg_stm());
}
else if (ss->ttHit)
{
// Never assume anything about values stored in TT
ss->staticEval = eval = tte->eval();
if (eval == VALUE_NONE)
- ss->staticEval = eval = evaluate(pos, &complexity);
- else // Fall back to (semi)classical complexity for TT hits, the NNUE complexity is lost
- {
- complexity = abs(ss->staticEval - pos.psq_eg_stm());
- if (PvNode)
- Eval::NNUE::hint_common_parent_position(pos);
- }
+ ss->staticEval = eval = evaluate(pos);
+ else if (PvNode)
+ Eval::NNUE::hint_common_parent_position(pos);
// ttValue can be used as a better position evaluation (~7 Elo)
if ( ttValue != VALUE_NONE
}
else
{
- ss->staticEval = eval = evaluate(pos, &complexity);
+ ss->staticEval = eval = evaluate(pos);
// Save static evaluation into transposition table
tte->save(posKey, VALUE_NONE, ss->ttPv, BOUND_NONE, DEPTH_NONE, MOVE_NONE, eval);
}
- thisThread->complexityAverage.update(complexity);
-
// Use static evaluation difference to improve quiet move ordering (~4 Elo)
if (is_ok((ss-1)->currentMove) && !(ss-1)->inCheck && !priorCapture)
{
- int bonus = std::clamp(-19 * int((ss-1)->staticEval + ss->staticEval), -1920, 1920);
+ int bonus = std::clamp(-18 * int((ss-1)->staticEval + ss->staticEval), -1817, 1817);
thisThread->mainHistory[~us][from_to((ss-1)->currentMove)] << bonus;
}
// margin and the improving flag are used in various pruning heuristics.
improvement = (ss-2)->staticEval != VALUE_NONE ? ss->staticEval - (ss-2)->staticEval
: (ss-4)->staticEval != VALUE_NONE ? ss->staticEval - (ss-4)->staticEval
- : 156;
+ : 173;
improving = improvement > 0;
// Step 7. Razoring (~1 Elo).
// If eval is really low check with qsearch if it can exceed alpha, if it can't,
// return a fail low.
- if (eval < alpha - 426 - 252 * depth * depth)
+ if (eval < alpha - 456 - 252 * depth * depth)
{
value = qsearch<NonPV>(pos, ss, alpha - 1, alpha);
if (value < alpha)
// The depth condition is important for mate finding.
if ( !ss->ttPv
&& depth < 9
- && eval - futility_margin(depth, improving) - (ss-1)->statScore / 280 >= beta
+ && eval - futility_margin(depth, improving) - (ss-1)->statScore / 306 >= beta
&& eval >= beta
- && eval < 25128) // larger than VALUE_KNOWN_WIN, but smaller than TB wins
+ && eval < 24923) // larger than VALUE_KNOWN_WIN, but smaller than TB wins
return eval;
// Step 9. Null move search with verification search (~35 Elo)
if ( !PvNode
&& (ss-1)->currentMove != MOVE_NULL
- && (ss-1)->statScore < 18755
+ && (ss-1)->statScore < 17329
&& eval >= beta
&& eval >= ss->staticEval
- && ss->staticEval >= beta - 19 * depth - improvement / 13 + 253 + complexity / 25
+ && ss->staticEval >= beta - 21 * depth - improvement * 99 / 1300 + 258
&& !excludedMove
&& pos.non_pawn_material(us)
- && (ss->ply >= thisThread->nmpMinPly || us != thisThread->nmpColor))
+ && (ss->ply >= thisThread->nmpMinPly))
{
assert(eval - beta >= 0);
- // Null move dynamic reduction based on depth, eval and complexity of position
- Depth R = std::min(int(eval - beta) / 168, 6) + depth / 3 + 4 - (complexity > 825);
+ // Null move dynamic reduction based on depth and eval
+ Depth R = std::min(int(eval - beta) / 173, 6) + depth / 3 + 4;
ss->currentMove = MOVE_NULL;
ss->continuationHistory = &thisThread->continuationHistory[0][0][NO_PIECE][0];
assert(!thisThread->nmpMinPly); // Recursive verification is not allowed
// Do verification search at high depths, with null move pruning disabled
- // for us, until ply exceeds nmpMinPly.
+ // until ply exceeds nmpMinPly.
thisThread->nmpMinPly = ss->ply + 3 * (depth-R) / 4;
- thisThread->nmpColor = us;
Value v = search<NonPV>(pos, ss, beta-1, beta, depth-R, false);
}
}
- probCutBeta = beta + 186 - 54 * improving;
+ probCutBeta = beta + 168 - 61 * improving;
// Step 10. ProbCut (~10 Elo)
// If we have a good enough capture (or queen promotion) and a reduced search returns a value
// much above beta, we can (almost) safely prune the previous move.
if ( !PvNode
- && depth > 4
+ && depth > 3
&& abs(beta) < VALUE_TB_WIN_IN_MAX_PLY
// if value from transposition table is lower than probCutBeta, don't attempt probCut
// there and in further interactions with transposition table cutoff depth is set to depth - 3
// because probCut search has depth set to depth - 4 but we also do a move before it
// so effective depth is equal to depth - 3
- && !( ss->ttHit
- && tte->depth() >= depth - 3
+ && !( tte->depth() >= depth - 3
&& ttValue != VALUE_NONE
&& ttValue < probCutBeta))
{
Eval::NNUE::hint_common_parent_position(pos);
}
- // Step 11. If the position is not in TT, decrease depth by 3.
+ // Step 11. If the position is not in TT, decrease depth by 2 (or by 4 if the TT entry for the current position was hit and the stored depth is greater than or equal to the current depth).
// Use qsearch if depth is equal or below zero (~9 Elo)
if ( PvNode
&& !ttMove)
- depth -= 3;
+ depth -= 2 + 2 * (ss->ttHit && tte->depth() >= depth);
if (depth <= 0)
return qsearch<PV>(pos, ss, alpha, beta);
if ( cutNode
- && depth >= 7
+ && depth >= 8
&& !ttMove)
depth -= 2;
moves_loop: // When in check, search starts here
// Step 12. A small Probcut idea, when we are in check (~4 Elo)
- probCutBeta = beta + 391;
+ probCutBeta = beta + 413;
if ( ss->inCheck
&& !PvNode
- && depth >= 2
&& ttCapture
&& (tte->bound() & BOUND_LOWER)
- && tte->depth() >= depth - 3
+ && tte->depth() >= depth - 4
&& ttValue >= probCutBeta
&& abs(ttValue) <= VALUE_KNOWN_WIN
&& abs(beta) <= VALUE_KNOWN_WIN)
moveCountPruning = moveCount >= futility_move_count(improving, depth);
// Reduced depth of the next LMR search
- int lmrDepth = std::max(newDepth - r, 0);
+ int lmrDepth = newDepth - r;
if ( capture
|| givesCheck)
{
// Futility pruning for captures (~2 Elo)
if ( !givesCheck
- && !PvNode
- && lmrDepth < 6
+ && lmrDepth < 7
&& !ss->inCheck
- && ss->staticEval + 182 + 230 * lmrDepth + PieceValue[EG][pos.piece_on(to_sq(move))]
+ && ss->staticEval + 197 + 248 * lmrDepth + PieceValue[EG][pos.piece_on(to_sq(move))]
+ captureHistory[movedPiece][to_sq(move)][type_of(pos.piece_on(to_sq(move)))] / 7 < alpha)
continue;
- Bitboard occupied;
// SEE based pruning (~11 Elo)
- if (!pos.see_ge(move, occupied, Value(-206) * depth))
- {
- if (depth < 2 - capture)
+ if (!pos.see_ge(move, Value(-205) * depth))
continue;
- // don't prune move if a heavy enemy piece (KQR) is under attack after the exchanges
- Bitboard leftEnemies = (pos.pieces(~us, QUEEN, ROOK) | pos.pieces(~us, KING)) & occupied;
- Bitboard attacks = 0;
- occupied |= to_sq(move);
- while (leftEnemies && !attacks)
- {
- Square sq = pop_lsb(leftEnemies);
- attacks |= pos.attackers_to(sq, occupied) & pos.pieces(us) & occupied;
- // exclude Queen/Rook(s) which were already threatened before SEE
- if (attacks && (sq != pos.square<KING>(~us) && (pos.attackers_to(sq, pos.pieces()) & pos.pieces(us))))
- attacks = 0;
- }
- if (!attacks)
- continue;
- }
}
else
{
+ (*contHist[3])[movedPiece][to_sq(move)];
// Continuation history based pruning (~2 Elo)
- if ( lmrDepth < 5
- && history < -4405 * (depth - 1))
+ if ( lmrDepth < 6
+ && history < -3832 * depth)
continue;
history += 2 * thisThread->mainHistory[us][from_to(move)];
- lmrDepth += history / 7278;
+ lmrDepth += history / 7011;
lmrDepth = std::max(lmrDepth, -2);
// Futility pruning: parent node (~13 Elo)
if ( !ss->inCheck
- && lmrDepth < 13
- && ss->staticEval + 103 + 138 * lmrDepth <= alpha)
+ && lmrDepth < 12
+ && ss->staticEval + 112 + 138 * lmrDepth <= alpha)
continue;
lmrDepth = std::max(lmrDepth, 0);
- Bitboard occupied;
// Prune moves with negative SEE (~4 Elo)
- if (!pos.see_ge(move, occupied, Value(-24 * lmrDepth * lmrDepth - 15 * lmrDepth)))
+ if (!pos.see_ge(move, Value(-27 * lmrDepth * lmrDepth - 16 * lmrDepth)))
continue;
}
}
// a reduced search on all the other moves but the ttMove and if the
// result is lower than ttValue minus a margin, then we will extend the ttMove.
if ( !rootNode
- && depth >= 4 - (thisThread->completedDepth > 21) + 2 * (PvNode && tte->is_pv())
+ && depth >= 4 - (thisThread->completedDepth > 22) + 2 * (PvNode && tte->is_pv())
&& move == ttMove
&& !excludedMove // Avoid recursive singular search
/* && ttValue != VALUE_NONE Already implicit in the next condition */
&& (tte->bound() & BOUND_LOWER)
&& tte->depth() >= depth - 3)
{
- Value singularBeta = ttValue - (3 + 2 * (ss->ttPv && !PvNode)) * depth / 2;
+ Value singularBeta = ttValue - (82 + 65 * (ss->ttPv && !PvNode)) * depth / 64;
Depth singularDepth = (depth - 1) / 2;
ss->excludedMove = move;
// Avoid search explosion by limiting the number of double extensions
if ( !PvNode
- && value < singularBeta - 25
- && ss->doubleExtensions <= 10)
+ && value < singularBeta - 21
+ && ss->doubleExtensions <= 11)
{
extension = 2;
depth += depth < 13;
}
// Check extensions (~1 Elo)
- else if ( givesCheck
- && depth > 10
- && abs(ss->staticEval) > 88)
+ else if ( givesCheck && depth > 8)
extension = 1;
// Quiet ttMove extensions (~1 Elo)
else if ( PvNode
&& move == ttMove
&& move == ss->killers[0]
- && (*contHist[0])[movedPiece][to_sq(move)] >= 5705)
+ && (*contHist[0])[movedPiece][to_sq(move)] >= 5168)
extension = 1;
}
// Decrease reduction if position is or has been on the PV
// and node is not likely to fail low. (~3 Elo)
+ // Decrease further on cutNodes. (~1 Elo)
if ( ss->ttPv
&& !likelyFailLow)
- r -= 2;
+ r -= cutNode && tte->depth() >= depth + 3 ? 3 : 2;
// Decrease reduction if opponent's move count is high (~1 Elo)
- if ((ss-1)->moveCount > 7)
+ if ((ss-1)->moveCount > 8)
r--;
// Increase reduction for cut nodes (~3 Elo)
if (singularQuietLMR)
r--;
- // Decrease reduction if we move a threatened piece (~1 Elo)
- if ( depth > 9
- && (mp.threatenedPieces & from_sq(move)))
- r--;
-
// Increase reduction if next ply has a lot of fail high (~5 Elo)
if ((ss+1)->cutoffCnt > 3)
r++;
- // Decrease reduction if move is a killer and we have a good history (~1 Elo)
- if (move == ss->killers[0]
- && (*contHist[0])[movedPiece][to_sq(move)] >= 3722)
+ else if (move == ttMove)
r--;
ss->statScore = 2 * thisThread->mainHistory[us][from_to(move)]
+ (*contHist[0])[movedPiece][to_sq(move)]
+ (*contHist[1])[movedPiece][to_sq(move)]
+ (*contHist[3])[movedPiece][to_sq(move)]
- - 4182;
+ - 4006;
// Decrease/increase reduction for moves with a good/bad history (~25 Elo)
- r -= ss->statScore / (11791 + 3992 * (depth > 6 && depth < 19));
+ r -= ss->statScore / (11124 + 4740 * (depth > 5 && depth < 22));
// Step 17. Late moves reduction / extension (LMR, ~117 Elo)
// We use various heuristics for the sons of a node after the first son has
{
// Adjust full depth search based on LMR results - if result
// was good enough search deeper, if it was bad enough search shallower
- const bool doDeeperSearch = value > (alpha + 58 + 12 * (newDepth - d));
- const bool doEvenDeeperSearch = value > alpha + 588 && ss->doubleExtensions <= 5;
+ const bool doDeeperSearch = value > (bestValue + 64 + 11 * (newDepth - d));
+ const bool doEvenDeeperSearch = value > alpha + 711 && ss->doubleExtensions <= 6;
const bool doShallowerSearch = value < bestValue + newDepth;
ss->doubleExtensions = ss->doubleExtensions + doEvenDeeperSearch;
if (newDepth > d)
value = -search<NonPV>(pos, ss+1, -(alpha+1), -alpha, newDepth, !cutNode);
- int bonus = value > alpha ? stat_bonus(newDepth)
- : -stat_bonus(newDepth);
+ int bonus = value <= alpha ? -stat_bonus(newDepth)
+ : value >= beta ? stat_bonus(newDepth)
+ : 0;
update_continuation_histories(ss, movedPiece, to_sq(move), bonus);
}
if (!ttMove && cutNode)
r += 2;
- value = -search<NonPV>(pos, ss+1, -(alpha+1), -alpha, newDepth - (r > 4), !cutNode);
+ value = -search<NonPV>(pos, ss+1, -(alpha+1), -alpha, newDepth - (r > 3), !cutNode);
}
// For PV nodes only, do a full PV search on the first move or after a fail
if (PvNode && !rootNode) // Update pv even in fail-high case
update_pv(ss->pv, move, (ss+1)->pv);
- if (PvNode && value < beta) // Update alpha! Always alpha < beta
+ if (value >= beta)
+ {
+ ss->cutoffCnt += 1 + !ttMove;
+ assert(value >= beta); // Fail high
+ break;
+ }
+ else
{
- alpha = value;
-
// Reduce other moves if we have found at least one score improvement (~1 Elo)
+ // Reduce more for depth > 3 and depth < 12 (~1 Elo)
if ( depth > 1
- && depth < 6
- && beta < 10534
- && alpha > -10534)
- depth -= 1;
+ && beta < 14362
+ && value > -12393)
+ depth -= depth > 3 && depth < 12 ? 2 : 1;
assert(depth > 0);
- }
- else
- {
- ss->cutoffCnt++;
- assert(value >= beta); // Fail high
- break;
+ alpha = value; // Update alpha! Always alpha < beta
}
}
}
// Bonus for prior countermove that caused the fail low
else if (!priorCapture && prevSq != SQ_NONE)
{
- int bonus = (depth > 5) + (PvNode || cutNode) + (bestValue < alpha - 97 * depth) + ((ss-1)->moveCount > 10);
+ int bonus = (depth > 5) + (PvNode || cutNode) + (bestValue < alpha - 113 * depth) + ((ss-1)->moveCount > 12);
update_continuation_histories(ss-1, pos.piece_on(prevSq), prevSq, stat_bonus(depth) * bonus);
}
// At non-PV nodes we check for an early TT cutoff
if ( !PvNode
- && ss->ttHit
&& tte->depth() >= ttDepth
- && ttValue != VALUE_NONE // Only in case of TT access race
+ && ttValue != VALUE_NONE // Only in case of TT access race or if !ttHit
&& (tte->bound() & (ttValue >= beta ? BOUND_LOWER : BOUND_UPPER)))
return ttValue;
if (PvNode && bestValue > alpha)
alpha = bestValue;
- futilityBase = bestValue + 168;
+ futilityBase = bestValue + 200;
}
const PieceToHistory* contHist[] = { (ss-1)->continuationHistory, (ss-2)->continuationHistory,
prevSq);
int quietCheckEvasions = 0;
- Bitboard occupied;
// Step 5. Loop through all pseudo-legal moves until no moves remain
// or a beta cutoff occurs.
continue;
}
- if (futilityBase <= alpha && !pos.see_ge(move, occupied, VALUE_ZERO + 1))
+ if (futilityBase <= alpha && !pos.see_ge(move, VALUE_ZERO + 1))
{
bestValue = std::max(bestValue, futilityBase);
continue;
continue;
// Do not search moves with bad enough SEE values (~5 Elo)
- if (!pos.see_ge(move, occupied, Value(-110)))
+ if (!pos.see_ge(move, Value(-95)))
continue;
}
if (!pos.capture_stage(bestMove))
{
- int bonus2 = bestValue > beta + 153 ? bonus1 // larger bonus
+ int bonus2 = bestValue > beta + 145 ? bonus1 // larger bonus
: stat_bonus(depth); // smaller bonus
// Increase stats for the best move in case it was a quiet move
projects / stockfish / blobdiff