{
 "item": "f1",
 "batch": "e07-hyb-afterfirst",
 "summary": "After-first-print hybrid on base G: on a step's first-print afterSwap call, the non-exposed side (lower V2 fee after skew/stale shift/tail clamp) is set to min(f, 32 bps); exposed side, later prints and ties unchanged; the returned fee is also stored as the fee state. Holdout 4290000..4291999 (2000 fresh seeds): paired mean_diff +0.0118 (se 0.0021) vs V2, candidate 0 OOG vs V2 23. Real but tiny: ~+0.011 against the +5.0 needed for top 10; this family does not move the board materially.",
 "code": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.24;\n\nimport {AMMStrategyBase} from \"./AMMStrategyBase.sol\";\nimport {TradeInfo} from \"./IAMMStrategy.sol\";\n\ncontract Strategy is AMMStrategyBase {\n    uint256 constant ELAPSED_CAP = 8;\n    uint256 constant SIGNAL_THRESHOLD = WAD / 650;\n    uint256 constant DIR_DECAY = 750000000000000000;\n    uint256 constant ACT_DECAY = 530000000000000000;\n    uint256 constant SIZE_DECAY = 530000000000000000;\n    uint256 constant TOX_DECAY = 910000000000000000;\n    uint256 constant SIGMA_DECAY = 690000000000000000;\n    uint256 constant LAMBDA_DECAY = 990000000000000000;\n    uint256 constant SIZE_BLEND_DECAY = 828000000000000000;\n    uint256 constant TOX_BLEND_DECAY = 51000000000000000;\n    uint256 constant ACT_BLEND_DECAY = 985000000000000000;\n    uint256 constant PHAT_ALPHA = 270000000000000000;\n    uint256 constant PHAT_ALPHA_RETAIL = 60000000000000000;\n    uint256 constant PHAT_ALPHA_SAME = 120000000000000000;\n    uint256 constant REVERT_U = 0;\n    uint256 constant DIR_IMPACT_MULT = 4;\n    uint256 constant GATE_SIGMA_MULT = 7200000000000000000;\n    uint256 constant MIN_GATE = 30000000000000000;\n    uint256 constant TRADE_TOX_BOOST = 3500 * BPS;\n    uint256 constant STALE_ATTRACT_FRAC = 1050000000000000000;\n    uint256 constant RET_CAP = WAD / 35;\n    uint256 constant TOX_CAP = WAD / 5;\n    uint256 constant TRADE_RATIO_CAP = WAD / 5;\n    uint256 constant LAMBDA_CAP = 1820000000000000000;\n    uint256 constant STEP_COUNT_CAP = 64;\n    uint256 constant BASE_FEE = 4 * BPS;\n    uint256 constant SIGMA_COEF = 200000000000000000;\n    uint256 constant LAMBDA_COEF = 12 * BPS;\n    uint256 constant FLOW_SIZE_COEF = 4842 * BPS;\n    uint256 constant TOX_COEF = 300 * BPS;\n    uint256 constant TOX_QUAD_COEF = 15000 * BPS;\n    uint256 constant ACT_COEF = 91843 * BPS;\n    uint256 constant DIR_COEF = 20 * BPS;\n    uint256 constant DIR_TOX_COEF = 100 * BPS;\n    uint256 constant STALE_DIR_COEF = 6850 * BPS;\n    uint256 constant SIGMA_TOX_COEF = 500 * BPS;\n    uint256 constant TAIL_KNEE = 600 * BPS;\n    uint256 constant TAIL_SLOPE_PROTECT = 930000000000000000;\n    uint256 constant TAIL_SLOPE_ATTRACT = 850000000000000000;\n\n    function afterInitialize(uint256 initialX, uint256 initialY) external override returns (uint256, uint256) {\n        slots[0] = BASE_FEE; slots[1] = BASE_FEE; slots[3] = WAD; \n        slots[5] = initialX > 0 ? wdiv(initialY, initialX) : 100 * WAD;\n        slots[6] = 950000000000000; slots[7] = 800000000000000000; slots[8] = 2000000000000000;\n        slots[13] = 902500000000; slots[14] = slots[5]; \n        return (BASE_FEE, BASE_FEE);\n    }\n\n    function afterSwap(TradeInfo calldata trade) external override returns (uint256, uint256) {\n        uint256 prevBidFee = slots[0]; uint256 prevAskFee = slots[1]; uint256 lastTs = uint64(slots[2]);\n        uint256 dirState = slots[3]; uint256 actEma = slots[4]; uint256 pHat = slots[5];\n        uint256 sigmaHat = slots[6]; uint256 lambdaHat = slots[7]; uint256 sizeHat = slots[8];\n        uint256 toxEma = slots[9]; uint256 stepTradeCount = slots[10];\n\n        uint256 sigmaForFast = sigmaHat;\n        uint256 fastHat = slots[14];\n        uint256 uncertainty = slots[13];\n        uint256 silent = trade.timestamp > lastTs ? trade.timestamp - lastTs : 0;\n        bool isNewStep = trade.timestamp > lastTs;\n        if (isNewStep) {\n            uint256 elapsedRaw = trade.timestamp - lastTs;\n            uint256 elapsed = elapsedRaw > ELAPSED_CAP ? ELAPSED_CAP : elapsedRaw;\n            dirState = _decayCentered(dirState, DIR_DECAY, elapsed);\n            actEma = wmul(actEma, _powWad(ACT_DECAY, elapsed));\n            sizeHat = wmul(sizeHat, _powWad(SIZE_DECAY, elapsed));\n            toxEma = wmul(toxEma, _powWad(TOX_DECAY, elapsed));\n            if (stepTradeCount > 0 && elapsedRaw > 0) {\n                uint256 lambdaInst = (stepTradeCount * WAD) / elapsedRaw;\n                if (lambdaInst > LAMBDA_CAP) lambdaInst = LAMBDA_CAP;\n                lambdaHat = wmul(lambdaHat, LAMBDA_DECAY) + wmul(lambdaInst, WAD - LAMBDA_DECAY);\n            }\n            uncertainty += wmul(sigmaForFast, sigmaForFast) * elapsedRaw;\n            if (uncertainty > 100000000000000) uncertainty = 100000000000000;\n            stepTradeCount = 0;\n        }\n\n        bool firstInStep = stepTradeCount == 0;\n        uint256 spot = trade.reserveX > 0 ? wdiv(trade.reserveY, trade.reserveX) : pHat;\n        if (pHat == 0) pHat = spot;\n\n        uint256 feeUsed = trade.isBuy ? prevBidFee : prevAskFee;\n        uint256 gamma = feeUsed < WAD ? WAD - feeUsed : 0;\n        uint256 pImplied;\n        if (gamma == 0) { pImplied = spot; }\n        else { pImplied = trade.isBuy ? wmul(spot, gamma) : wdiv(spot, gamma); }\n\n        // S: infer a no-trade interval center from the last post-trade spot.\n        uint256 silenceScale = WAD;\n        if (firstInStep && silent > 1) {\n            uint256 g = silent - 1;\n            if (g > 1) g = 1;\n            uint256 w = WAD - _powWad(800000000000000000, g);\n            uint256 s = slots[2] >> 64;\n            if (s == 0) s = pHat;\n            uint256 c = (wmul(s, WAD - prevBidFee) + wdiv(s, WAD - prevAskFee)) / 2;\n            if (c >= pHat) pHat += wmul(w, c - pHat);\n            else pHat -= wmul(w, pHat - c);\n            silenceScale = WAD - wmul(300000000000000000, w);\n        }\n\n        {\n            uint256 ret = pHat > 0 ? wdiv(absDiff(pImplied, pHat), pHat) : 0;\n            uint256 alpha = firstInStep ? PHAT_ALPHA : PHAT_ALPHA_RETAIL;\n            uint256 prePhat = pHat;\n            bool secondPrint = !firstInStep && stepTradeCount == 1;\n            bool sameDir = false; bool oppDir = false;\n            if (secondPrint) {\n                bool up2 = pImplied >= pHat;\n                uint256 d1 = slots[12];\n                if (d1 != 0) { sameDir = (d1 == 1) == up2; oppDir = !sameDir; }\n                if (sameDir) alpha = PHAT_ALPHA_SAME;\n            }\n            if (firstInStep) { slots[12] = pImplied >= pHat ? 1 : 2; }\n            uint256 adaptiveGate = wmul(sigmaHat, GATE_SIGMA_MULT);\n            if (adaptiveGate < MIN_GATE) adaptiveGate = MIN_GATE;\n            alpha = wmul(alpha, silenceScale);\n            adaptiveGate = wmul(adaptiveGate, silenceScale);\n            if (ret <= adaptiveGate) { pHat = wmul(pHat, WAD - alpha) + wmul(pImplied, alpha); }\n            if (oppDir && REVERT_U > 0) {\n                uint256 pre = slots[11];\n                if (pre > pHat) pHat = pHat + wmul(pre - pHat, REVERT_U);\n                else pHat = pHat - wmul(pHat - pre, REVERT_U);\n            }\n            if (firstInStep) {\n                if (ret > RET_CAP) ret = RET_CAP;\n                sigmaHat = wmul(sigmaHat, SIGMA_DECAY) + wmul(ret, WAD - SIGMA_DECAY);\n            }\n        }\n\n        // Interior retail routing equalizes fee-adjusted marginal prices.\n        // Subsequent trades in a step cannot be the initial arbitrage trade.\n        if (!firstInStep && feeUsed > 30 * BPS && gamma > 0) {\n            uint256 normalSpot = trade.isBuy\n                ? wdiv(wmul(spot, gamma), WAD - 30 * BPS)\n                : wdiv(wmul(spot, WAD - 30 * BPS), gamma);\n            pHat = wmul(pHat, 90 * WAD / 100) + wmul(normalSpot, 10 * WAD / 100);\n        }\n\n        {\n            uint256 ret = fastHat > 0 ? wdiv(absDiff(pImplied, fastHat), fastHat) : 0;\n            uint256 alpha;\n            if (firstInStep) {\n                uint256 processSigma = sigmaForFast;\n                uint256 obsVar = uncertainty + wmul(processSigma, processSigma);\n                uint256 probArb;\n                uint256 z2 = wdiv(wmul(ret, ret), obsVar);\n                uint256 density = _powWad(wdiv(WAD, WAD + z2 / 16), 8);\n                uint256 sigmaObs = _isqrt(obsVar * WAD);\n                uint256 odds = wmul(density, wdiv(6700000000000000, sigmaObs));\n                bool arbFlag = ret <= wmul(sigmaForFast, 1220000000000000000);\n                uint256 prior = arbFlag ? 650000000000000000 : 400000000000000000;\n                uint256 tr = trade.reserveY > 0 ? wdiv(trade.amountY, trade.reserveY) : 0;\n                if (tr > 3000000000000000) prior = wmul(prior, 6 * WAD / 10);\n                if (silent > 1) prior = wmul(prior, 8 * WAD / 10);\n                odds = wmul(odds, wdiv(prior, WAD - prior));\n                probArb = wdiv(odds, WAD + odds);\n                alpha = wmul(probArb, 600000000000000000) + wmul(WAD - probArb, 80000000000000000);\n                slots[15] = pImplied >= fastHat ? 1 : 2;\n                uncertainty = wmul(uncertainty, WAD - alpha);\n            } else {\n                if ((slots[15] == 1) == (pImplied >= fastHat)) alpha = PHAT_ALPHA_RETAIL;\n            }\n            uint256 gate = wmul(sigmaHat, GATE_SIGMA_MULT);\n            if (gate < MIN_GATE) gate = MIN_GATE;\n            if (ret <= gate) fastHat = wmul(fastHat, WAD - alpha) + wmul(pImplied, alpha);\n            slots[13] = uncertainty;\n        }\n\n        if (!firstInStep && feeUsed > 30 * BPS && gamma > 0) {\n            uint256 normalObs = trade.isBuy\n                ? wdiv(wmul(spot, gamma), WAD - 30 * BPS)\n                : wdiv(wmul(spot, WAD - 30 * BPS), gamma);\n            if ((slots[15] == 1) == (normalObs >= fastHat)) {\n                fastHat = wmul(fastHat, 9 * WAD / 10) + wmul(normalObs, WAD / 10);\n            }\n        }\n        slots[14] = fastHat;\n        uint256 tradeRatio = trade.reserveY > 0 ? wdiv(trade.amountY, trade.reserveY) : 0;\n        if (tradeRatio > TRADE_RATIO_CAP) tradeRatio = TRADE_RATIO_CAP;\n\n        if (tradeRatio > SIGNAL_THRESHOLD) {\n            uint256 push = tradeRatio * DIR_IMPACT_MULT;\n            if (push > WAD / 4) push = WAD / 4;\n            if (trade.isBuy) {\n                dirState = dirState + push;\n                if (dirState > 2 * WAD) dirState = 2 * WAD;\n            } else {\n                dirState = dirState > push ? dirState - push : 0;\n            }\n            actEma = wmul(actEma, ACT_BLEND_DECAY) + wmul(tradeRatio, WAD - ACT_BLEND_DECAY);\n            sizeHat = wmul(sizeHat, SIZE_BLEND_DECAY) + wmul(tradeRatio, WAD - SIZE_BLEND_DECAY);\n            if (sizeHat > WAD) sizeHat = WAD;\n        }\n\n        uint256 tox = pHat > 0 ? wdiv(absDiff(spot, pHat), pHat) : 0;\n        if (tox > TOX_CAP) tox = TOX_CAP;\n        toxEma = wmul(toxEma, TOX_BLEND_DECAY) + wmul(tox, WAD - TOX_BLEND_DECAY);\n        uint256 toxSignal = toxEma;\n\n        stepTradeCount = stepTradeCount + 1;\n        if (stepTradeCount > STEP_COUNT_CAP) stepTradeCount = STEP_COUNT_CAP;\n\n        uint256 flowSize = wmul(lambdaHat, sizeHat);\n        uint256 fBase = BASE_FEE + wmul(SIGMA_COEF, sigmaHat) + wmul(LAMBDA_COEF, lambdaHat) + wmul(FLOW_SIZE_COEF, flowSize);\n        uint256 fMid = fBase + wmul(TOX_COEF, toxSignal) + wmul(TOX_QUAD_COEF, wmul(toxSignal, toxSignal)) + wmul(ACT_COEF, actEma);\n        fMid = fMid + wmul(SIGMA_TOX_COEF, wmul(sigmaHat, toxSignal));\n\n        uint256 dirDev; bool sellPressure;\n        if (dirState >= WAD) { dirDev = dirState - WAD; sellPressure = true; }\n        else { dirDev = WAD - dirState; sellPressure = false; }\n\n        uint256 skew = wmul(DIR_COEF, dirDev) + wmul(DIR_TOX_COEF, wmul(dirDev, toxSignal));\n        uint256 bidFee; uint256 askFee;\n        if (sellPressure) {\n            bidFee = fMid + skew;\n            askFee = fMid > skew ? fMid - skew : 0;\n        } else {\n            askFee = fMid + skew;\n            bidFee = fMid > skew ? fMid - skew : 0;\n        }\n\n        {\n            uint256 staleHat = wmul(pHat, 700000000000000000) + wmul(fastHat, 300000000000000000);\n            uint256 staleTox = wdiv(absDiff(spot, staleHat), staleHat);\n            if (staleTox > TOX_CAP) staleTox = TOX_CAP;\n            uint256 staleShift = wmul(STALE_DIR_COEF, staleTox);\n            uint256 attractShift = wmul(staleShift, STALE_ATTRACT_FRAC);\n            if (spot >= staleHat) {\n                bidFee = bidFee + staleShift;\n                askFee = askFee > attractShift ? askFee - attractShift : 0;\n            } else {\n                askFee = askFee + staleShift;\n                bidFee = bidFee > attractShift ? bidFee - attractShift : 0;\n            }\n        }\n\n        {\n            bool tradeAligned = (trade.isBuy && spot >= pHat) || (!trade.isBuy && spot < pHat);\n            if (tradeAligned) {\n                uint256 tradeBoost = wmul(TRADE_TOX_BOOST, tradeRatio);\n                if (trade.isBuy) { bidFee = bidFee + tradeBoost; }\n                else { askFee = askFee + tradeBoost; }\n            }\n        }\n\n        if (sellPressure) {\n            bidFee = clampFee(_compressTailWithSlope(bidFee, TAIL_SLOPE_PROTECT));\n            askFee = clampFee(_compressTailWithSlope(askFee, TAIL_SLOPE_ATTRACT));\n        } else {\n            askFee = clampFee(_compressTailWithSlope(askFee, TAIL_SLOPE_PROTECT));\n            bidFee = clampFee(_compressTailWithSlope(bidFee, TAIL_SLOPE_ATTRACT));\n        }\n\n        // After-first-print hybrid: cut the non-exposed side's fee for the rest of the step.\n        if (firstInStep) {\n            if (bidFee > askFee) { uint256 f = askFee; askFee = f - ((f > 32 * BPS ? f - 32 * BPS : 0)); }\n            else if (askFee > bidFee) { uint256 f = bidFee; bidFee = f - ((f > 32 * BPS ? f - 32 * BPS : 0)); }\n        }\n\n        slots[0] = bidFee; slots[1] = askFee; slots[2] = (spot << 64) | trade.timestamp;\n        slots[3] = dirState; slots[4] = actEma; slots[5] = pHat;\n        slots[6] = sigmaHat; slots[7] = lambdaHat; slots[8] = sizeHat;\n        slots[9] = toxEma; slots[10] = stepTradeCount;\n\n        return (bidFee, askFee);\n    }\n\n    function _compressTailWithSlope(uint256 fee, uint256 slope) internal pure returns (uint256) {\n        if (fee <= TAIL_KNEE) return fee;\n        return TAIL_KNEE + wmul(fee - TAIL_KNEE, slope);\n    }\n\n    function _powWad(uint256 factor, uint256 exp) internal pure returns (uint256 result) {\n        result = WAD;\n        while (exp > 0) {\n            if (exp & 1 == 1) result = wmul(result, factor);\n            factor = wmul(factor, factor);\n            exp >>= 1;\n        }\n    }\n\n    function _decayCentered(uint256 centered, uint256 decayFactor, uint256 elapsed) internal pure returns (uint256) {\n        uint256 mul = _powWad(decayFactor, elapsed);\n        if (centered >= WAD) { return WAD + wmul(centered - WAD, mul); }\n        uint256 below = wmul(WAD - centered, mul);\n        return below < WAD ? WAD - below : 0;\n    }\n\n    // Floor square root: bit-length seed and seven Newton steps (all uint256).\n    function _isqrt(uint256 x) internal pure returns (uint256 r) {\n        if (x == 0) return 0;\n        unchecked {\n            uint256 y = x;\n            r = 1;\n            if (y >> 128 != 0) { y >>= 128; r <<= 64; }\n            if (y >> 64 != 0) { y >>= 64; r <<= 32; }\n            if (y >> 32 != 0) { y >>= 32; r <<= 16; }\n            if (y >> 16 != 0) { y >>= 16; r <<= 8; }\n            if (y >> 8 != 0) { y >>= 8; r <<= 4; }\n            if (y >> 4 != 0) { y >>= 4; r <<= 2; }\n            if (y >> 2 != 0) { r <<= 1; }\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            uint256 t = x / r;\n            return r < t ? r : t;\n        }\n    }\n\n    function getName() external pure override returns (string memory) { return \"afterfirst_R32\"; }\n}\n",
 "sha256": "1bf578dfe3438ea18d9074cd299316f79c94be1c4fb385b4aad66a734549ad93",
 "frozen_before_holdout": true,
 "base_sha256": "610c1905e7dd5559b84e40a3b2d6f8e0b53a7b0ac7574ae33b6c1770a28367cb",
 "base_note": "base G built from code_GN per brief; sha256 matched",
 "v2_sha256": "28417e116f57f1029fdd1803832e852574902c1ae7253c05657f317db76da4ab",
 "selection": "screen 8 variants (+G control) on 10000..10255; top2 by mean R28 (+0.0212), R32 (+0.0190) on 12000..12511; R32 better there (+0.0050 vs +0.0013) -> frozen",
 "variants": [
  {
   "id": "G",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "base G, no cut (control)",
   "sha256": "610c1905e7dd5559b84e40a3b2d6f8e0b53a7b0ac7574ae33b6c1770a28367cb",
   "n": 256,
   "mean_diff": 0.002904894772038702,
   "se": 0.002857312170046356,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220944,
   "valid": true
  },
  {
   "id": "R30",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "first print: non-exposed = min(f, 30 bps)",
   "sha256": "b05b8b893ebc6461291390a45ac3dfba3a1e877501dd39199e73358d2c6bb295",
   "n": 256,
   "mean_diff": 0.016458641175273625,
   "se": 0.008257343690404083,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "D4",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "first print: non-exposed = max(f-4 bps, 20 bps) (unchanged if f<=20 bps)",
   "sha256": "17fa7775caba3c6ff9d6c6fae6c70cd6cfeee57e6464ca966f0940f7c6f473a7",
   "n": 256,
   "mean_diff": -0.09424817440840405,
   "se": 0.015286314142043818,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "R28",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "first print: non-exposed fee = min(f, 28 bps)",
   "sha256": "674883343cee738830fdcd74c5ae2a0ace01fa82dbb0e95e1050d0a6631eb541",
   "n": 256,
   "mean_diff": 0.02123323010457767,
   "se": 0.009754120980880743,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "R32",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "first print: non-exposed = min(f, 32 bps)",
   "sha256": "1bf578dfe3438ea18d9074cd299316f79c94be1c4fb385b4aad66a734549ad93",
   "n": 256,
   "mean_diff": 0.018967450952926068,
   "se": 0.00688876400159196,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "R34",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "first print: non-exposed = min(f, 34 bps)",
   "sha256": "9df5c92bb19e72db4e328fc0745303e54b4b88561f03f4be337c7a14aaf4e540",
   "n": 256,
   "mean_diff": 0.011784561471567478,
   "se": 0.005637913447527293,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "D2",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "first print: non-exposed = max(f-2 bps, 20 bps) (unchanged if f<=20 bps)",
   "sha256": "4784c08a0c685cb9400ad6eb107e2c28a17887170a143859841772e5bcd049b3",
   "n": 256,
   "mean_diff": -0.021031307761957052,
   "se": 0.010928918246161469,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220965,
   "valid": true
  },
  {
   "id": "R30h",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "min(f,30 bps) on first print; half that cut on second print",
   "sha256": "8e4724f96ac2e6d44a3fe845761e5154739e716696495ccac408000032a6a638",
   "n": 256,
   "mean_diff": 0.01375751840716899,
   "se": 0.00949748338129485,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "D4h",
   "stage": "screen",
   "seeds": [
    10000,
    10256
   ],
   "params": "f-4 bps floored at 20 bps on first print; half the cut (2 bps) on second print",
   "sha256": "54b025d75f385d2c4c70ae3e2cdce25cc652e9729238c0a5df1a896b669c2a91",
   "n": 256,
   "mean_diff": -0.12242603429857413,
   "se": 0.016281900432392964,
   "oog": 0,
   "v2_oog": 7,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "R28",
   "stage": "top2",
   "seeds": [
    12000,
    12512
   ],
   "params": "first print: non-exposed fee = min(f, 28 bps)",
   "sha256": "674883343cee738830fdcd74c5ae2a0ace01fa82dbb0e95e1050d0a6631eb541",
   "n": 512,
   "mean_diff": 0.001291467694349957,
   "se": 0.00670870767172572,
   "oog": 0,
   "v2_oog": 10,
   "max_ok_gas": 220962,
   "valid": true
  },
  {
   "id": "R32",
   "stage": "top2",
   "seeds": [
    12000,
    12512
   ],
   "params": "first print: non-exposed = min(f, 32 bps)",
   "sha256": "1bf578dfe3438ea18d9074cd299316f79c94be1c4fb385b4aad66a734549ad93",
   "n": 512,
   "mean_diff": 0.004951961783838055,
   "se": 0.004241441964123393,
   "oog": 0,
   "v2_oog": 10,
   "max_ok_gas": 220962,
   "valid": true
  }
 ],
 "paired": {
  "n": 2000,
  "mean_diff": 0.011824722636034209,
  "se": 0.0021182366127703444,
  "worst": [
   {
    "seed": 4291187,
    "diff": -0.8706134863206216
   },
   {
    "seed": 4290016,
    "diff": -0.5109949305137889
   },
   {
    "seed": 4290444,
    "diff": -0.4825130574921559
   },
   {
    "seed": 4291714,
    "diff": -0.46658499193085845
   },
   {
    "seed": 4291174,
    "diff": -0.46452154410349067
   }
  ]
 },
 "split": {
  "cand": {
   "total": {
    "mean": 525.2993405364601,
    "se": 2.086929970619861
   },
   "retail": {
    "mean": 552.7219402415375,
    "se": 2.2957865689531185
   },
   "arb": {
    "mean": -27.422599705077435,
    "se": 0.47814102357306554
   }
  },
  "v2": {
   "total": {
    "mean": 525.2875158138241,
    "se": 2.0868891022690095
   },
   "retail": {
    "mean": 552.7043063976549,
    "se": 2.295742460649612
   },
   "arb": {
    "mean": -27.41679058383089,
    "se": 0.4781156257328441
   }
  },
  "retail_paired": {
   "n": 2000,
   "mean_diff": 0.017633843882576685,
   "se": 0.0022003189536866407
  },
  "arb_paired": {
   "n": 2000,
   "mean_diff": -0.00580912124654829,
   "se": 0.0009069064994189757
  },
  "retail_volume_y_mean": {
   "cand": 76394.15411829337,
   "v2": 76377.3643012123
  },
  "terciles": [
   {
    "tercile": 1,
    "n": 666,
    "mean_diff": 0.008497275936945527,
    "se": 0.0028256534066823215,
    "v2_retail_volume_y_range": [
     55074.889017088746,
     71100.72929440867
    ]
   },
   {
    "tercile": 2,
    "n": 667,
    "mean_diff": 0.012861466349781853,
    "se": 0.0033344788189022547,
    "v2_retail_volume_y_range": [
     71117.79110301554,
     81781.23313741433
    ]
   },
   {
    "tercile": 3,
    "n": 667,
    "mean_diff": 0.01411043694566447,
    "se": 0.0046127187363756116,
    "v2_retail_volume_y_range": [
     81786.58395438918,
     99196.23553037207
    ]
   }
  ],
  "tercile_basis": "seeds sorted by V2 total retail volume (Y) in that seed's sim vs Vanilla"
 },
 "gas": {
  "max_ok": 220962,
  "oog": 0,
  "reverts": 0,
  "other_halts": 0,
  "tx_errors_bad_returns": 0,
  "init_max": 220962,
  "afterSwap_calls": 20712279,
  "vanilla_failures": 0,
  "afterSwap_max_ok": 213475,
  "note": "max_ok is over all callbacks (afterInitialize is the max for the candidate); afterSwap_max_ok is the afterSwap peak; oog counts are all afterSwap"
 },
 "v2_gas": {
  "max_ok": 243710,
  "oog": 23,
  "reverts": 0,
  "other_halts": 0,
  "tx_errors_bad_returns": 0,
  "init_max": 236377,
  "afterSwap_calls": 20705948,
  "vanilla_failures": 0,
  "afterSwap_max_ok": 243710,
  "note": "max_ok is over all callbacks (afterInitialize is the max for the candidate); afterSwap_max_ok is the afterSwap peak; oog counts are all afterSwap"
 },
 "v2_oog_seeds": [
  [
   4290065,
   1
  ],
  [
   4290215,
   1
  ],
  [
   4290415,
   2
  ],
  [
   4290442,
   2
  ],
  [
   4290569,
   1
  ],
  [
   4290625,
   2
  ],
  [
   4290935,
   1
  ],
  [
   4290948,
   1
  ],
  [
   4291001,
   2
  ],
  [
   4291240,
   1
  ],
  [
   4291332,
   2
  ],
  [
   4291445,
   1
  ],
  [
   4291659,
   1
  ],
  [
   4291806,
   2
  ],
  [
   4291829,
   1
  ],
  [
   4291834,
   2
  ]
 ],
 "seeds": {
  "screen": [
   10000,
   10255
  ],
  "top2": [
   12000,
   12511
  ],
  "holdout": [
   4290000,
   4291999
  ]
 },
 "method": "amm_sim_rs.run_batch(X, VanillaStrategy, configs, 8), one strategy per run, configs as MatchRunner._build_configs per seed (harness.py from artifact db62dead...), instrumentation.patch gas/OOG counters, 10000 steps, 250k gas cap; amm-challenge @ 6b6921f8; all variants passed amm-match validate",
 "valid": true,
 "blocked": null
}