8=======>

2022-09-12 · +7d

lstm_s2 · in-sample — the model trained on this date · 191 tokens predicted

These numbers are in-sample. The model was trained on this date, so predicted-vs-actual agreement here is not evidence of skill.
+1d+7d+30dasset cohort only
rank IC
+0.1233
191 of 191 tokens assessed
long-short decile
+7.30%
realised beta-adjusted alpha
direction hit
48.2%
in alpha space · 93.7% on raw price
BTC over horizon
-12.78%
the unhedgeable market factor

Predicted vs actual (191 rows, sorted by pred)

tokennamechainanchor pxpred px ▴pred Δactual pxactual Δalpha errhitβ90dvol 30dtarget
ROSEOasisBinance Smart Chain0.064740.061415-5.14%0.05812-10.23%0.1155✗1.251.2M2022-09-19
LUNATerraTerra 20.00030.000285572-4.81%0.00031125+3.75%0.1229✗0.272.3M2022-09-19
GLMGolemEthereum0.40930.390154-4.68%0.2908-28.95%0.1828✓0.8189k2022-09-19
BRISEBitgertEthereum7.49e-77.17e-7-4.28%5.57e-7-25.56%0.1324✓0.872.3M2022-09-19
FILFilecoinFilecoin6.5566.2766-4.26%5.478-16.44%0.0037✓0.976.2M2022-09-19
AERGOAergo [OLD]Ethereum0.21640.207267-4.22%0.1327-38.68%0.3436✓0.7526k2022-09-19
DYDXdYdXCosmos1.5631.4975-4.19%1.258-19.51%0.0068✓1.2343k2022-09-19
METISMetisEthereum29.9328.7491-3.95%24.04-19.68%0.0487✗1.66159k2022-09-19
ALEPHAleph CloudEthereum0.19160.184159-3.88%0.1112-41.96%0.4854✓0.1483k2022-09-19
MASKMask NetworkEthereum1.411.3575-3.73%1.19-15.60%0.0133✓1.0668k2022-09-19
RLCiExec RLCEthereum1.39761.3464-3.66%1.1772-15.77%0.0136✓1.08922k2022-09-19
IMXImmutableEthereum0.86380.833241-3.54%0.7721-10.62%0.0844✗1.17946k2022-09-19
YFIyearn.financeEthereum9,751.479,419.74-3.40%8,481.63-13.02%0.0888✗1.424.1M2022-09-19
GRTThe GraphEthereum0.12860.12437-3.29%0.1014-21.15%0.0330✓1.252.5M2022-09-19
OPTIMOptimism1.2671.2255-3.28%0.955-24.63%0.0178✓1.692.7M2022-09-19
SANTOSSantos FC Fan TokenBinance Smart Chain12.3411.9509-3.15%12.487+1.19%0.0952✗0.3816.0M2022-09-19
RUNETHORChainTHORChain1.9351.874-3.15%1.699-12.20%0.1361✗1.7160k2022-09-19
PROPropyEthereum0.730.707526-3.08%0.66-9.59%0.0367✓0.2444k2022-09-19
AXSAxie InfinityEthereum14.2213.7876-3.04%12.27-13.71%0.0455✗1.19925k2022-09-19
FLOWFlownative2.1022.0399-2.95%1.696-19.31%0.0092✓1.42967k2022-09-19
STXStacksnative0.38790.376631-2.91%0.3301-14.90%0.0143✓1.07314k2022-09-19
AUCTIONBounceEthereum7.427.2119-2.80%6.52-12.13%0.0490✗1.10224k2022-09-19
GLMRMoonbeamBase0.5690.553164-2.78%0.473-16.87%0.0000✓1.1466k2022-09-19
GMTGMTEthereum0.74190.72134-2.77%0.6251-15.74%0.0673✗1.54210k2022-09-19
RADRadworksEthereum2.462.3921-2.76%2.07-15.85%0.0615✓0.61261k2022-09-19
FISStafiEthereum0.36270.352766-2.74%0.3044-16.07%0.0031✓1.061,1592022-09-19
TRBTellor TributesEthereum16.5816.1356-2.68%14.77-10.92%0.0183✓0.781.5M2022-09-19
CHZChilizEthereum0.20140.196027-2.67%0.2531+25.67%0.3901✗0.983.2M2022-09-19
UOSUltraEthereum0.440280.428756-2.62%0.4068-7.60%0.0816✗0.98379k2022-09-19
HIGHHighstreetEthereum1.5341.4941-2.60%1.365-11.02%0.0635✗1.1371k2022-09-19
MINAMina Protocolnative0.670.652765-2.57%0.598-10.75%0.0580✗1.07111k2022-09-19
NMRNumeraireEthereum18.2317.7621-2.57%15.52-14.87%0.0620✓0.53396k2022-09-19
LRCLoopringEthereum0.35140.342462-2.54%0.3113-11.41%0.0647✗1.1772k2022-09-19
GTCGitcoinEthereum2.192.136-2.47%1.88-14.16%0.0465✗1.27227k2022-09-19
COMPCompoundEthereum54.7353.4374-2.36%52.16-4.70%0.1497✗1.278,6412022-09-19
XCNOnyxcoinEthereum0.0740.07226-2.35%0.0621-16.08%0.1331✓0.13378k2022-09-19
TKOTokocryptoBinance Smart Chain0.2750.268534-2.35%0.256-6.91%0.0576✗0.77563k2022-09-19
CTSICartesiEthereum0.15470.151066-2.35%0.1384-10.54%0.0507✗1.01336k2022-09-19
CTKShentuOsmosis1.010.986517-2.33%0.893-11.58%0.0438✓0.412.7M2022-09-19
ETCEthereum Classicnative38.4537.5705-2.29%30.44-20.83%0.0048✓1.5810.6M2022-09-19
PONDMarlinEthereum0.0120040.011733-2.26%0.011007-8.31%0.0728✗1.006492022-09-19
ZRX0x ProtocolEthereum0.320430.313299-2.23%0.271513-15.27%0.0084✓0.99471k2022-09-19
ORCAOrcaSolana0.89480.874999-2.21%0.8509-4.91%0.1862✗1.5789k2022-09-19
MTLMetal DAOMetal L21.2791.2509-2.20%1.092-14.62%0.0082✓0.931.1M2022-09-19
LAZIOLazio Fan TokenBinance Smart Chain7.66047.4928-2.19%5.92-22.72%0.2013✓0.2511.9M2022-09-19
GALAGALAEthereum0.05130.050195-2.15%0.0433-15.59%0.0113✓1.16178k2022-09-19
BANDBandEthereum1.3521.323-2.14%1.167-13.68%0.0490✗1.28323k2022-09-19
BATBasic AttentionEthereum0.354360.346774-2.14%0.30629-13.57%0.0233✗1.0833k2022-09-19
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.4653-2.14%3.5781-21.58%0.1376✓0.618.1M2022-09-19
XVGVergenative0.003570.003495-2.11%0.00326-8.68%0.0657✗0.99483k2022-09-19
ATOMCosmos HubCosmos15.5315.2037-2.10%15.618+0.57%0.2020✗1.2819.6M2022-09-19
SPELLSpellEthereum0.0013230.001296-2.10%0.0011-16.90%0.0509✓0.832.2M2022-09-19
POKTPocket NetworkEthereum0.11440.112002-2.10%0.0903-21.07%0.1336✓0.60188k2022-09-19
RIFRootstock Infrastructure FrameworkEthereum0.06540.06403-2.10%0.0563-13.91%0.0377✗1.22563k2022-09-19
LEOLEO TokenEthereum5.04524.9428-2.03%4.6593-7.65%0.0503✓0.06119k2022-09-19
BICOBiconomyEthereum0.51290.502517-2.02%0.4508-12.11%0.0084✓0.86396k2022-09-19
EWTEnergy Web TokenEthereum4.5244.433-2.01%4.135-8.60%0.0592✗0.94273k2022-09-19
OGNOrigin TokenEthereum0.177310.173763-2.00%0.145-18.22%0.0332✓1.08271k2022-09-19
QTUMQtumQtum3.29333.2274-2.00%2.9221-11.27%0.0426✗1.0419k2022-09-19
NEARNEAR ProtocolNEAR5.0934.9911-2.00%4.057-20.34%0.0705✓1.001.4M2022-09-19
XVSVenusEthereum4.984.8809-1.99%4.59-7.83%0.0568✗0.87839k2022-09-19
ALICEMy Neighbor AliceEthereum2.1712.1279-1.98%1.845-15.02%0.0314✗1.2732k2022-09-19
DIADIAEthereum0.399770.391861-1.98%0.38968-2.52%0.1329✗1.0131k2022-09-19
PORTOFC PortoBinance Smart Chain7.00496.8669-1.97%5.54-20.91%0.2010✓0.109.1M2022-09-19
OGOG Fan TokenSolana5.9485.8309-1.97%5.296-10.96%0.0084✓0.643.1M2022-09-19
SNXSynthetixEthereum2.9432.8861-1.93%2.506-14.85%0.0708✗1.552.9M2022-09-19
UNIUniswapEthereum6.6596.5307-1.93%5.479-17.72%0.0164✓1.406.9M2022-09-19
BORABORAKlay Token0.29430.288636-1.92%0.25224-14.29%0.0113✓0.9015k2022-09-19
OXTOrchid ProtocolEthereum0.11410.111944-1.89%0.1003-12.09%0.0104✓0.88188k2022-09-19
ENSEthereum Name ServiceEthereum15.1214.8404-1.85%13.68-9.52%0.0554✗1.001.8M2022-09-19
DEXEDeXeEthereum3.2453.186-1.82%2.975-8.32%0.0176✓0.37676k2022-09-19
XYOXYO NetworkEthereum0.008330.00818-1.80%0.0074-11.16%0.0605✗1.18428k2022-09-19
FIDABonfidaSolana0.4810.472355-1.80%0.437-9.15%0.0648✗1.047,9852022-09-19
DOTPolkadotPolkadot7.6647.5269-1.79%6.385-16.69%0.0049✓1.1710.0M2022-09-19
WOOWOOEthereum0.16420.161297-1.77%0.1389-15.41%0.0298✗1.319132022-09-19
ANKRAnkr NetworkEthereum0.03730.036641-1.77%0.03126-16.19%0.0139✓1.0635k2022-09-19
POWRPowerledgerEthereum0.23460.230481-1.76%0.1992-15.09%0.0232✓0.9057k2022-09-19
XYMSymbolnative0.0426730.041924-1.75%0.039404-7.66%0.0110✓0.5323k2022-09-19
PEOPLEConstitutionDAOEthereum0.02280.022402-1.75%0.0223-2.19%0.1411✗1.0710.3M2022-09-19
BTTCBTTC9.00e-78.84e-7-1.75%8.00e-7-11.11%0.0008✓0.741.7M2022-09-19
CELRCeler NetworkEthereum0.0184890.018175-1.70%0.0155-16.17%0.0225✓1.009912022-09-19
GITCOINGITCOIN2.14882.1125-1.69%1.8797-12.52%0.0374✗1.1313k2022-09-19
MANADecentralandEthereum0.794220.780848-1.68%0.72902-8.21%0.0856✗1.13624k2022-09-19
ACHAlchemy PayEthereum0.0131540.012933-1.68%0.011897-9.56%0.0308✗0.84882k2022-09-19
XECeCashnative0.000045970.000045202-1.67%0.0000394-14.29%0.0170✓0.883.0M2022-09-19
API3Api3Ethereum1.8031.7729-1.67%1.496-17.03%0.0309✓1.02627k2022-09-19
CVCCivicEthereum0.15180.149276-1.66%0.1312-13.57%0.0074✓1.00119k2022-09-19
XTZTezosTezos1.65651.6292-1.65%1.4887-10.13%0.0547✗1.06241k2022-09-19
HIVEHivenative0.58020.570691-1.64%0.5271-9.15%0.0049✓0.62836k2022-09-19
OMGOMG NetworkEthereum1.9621.9303-1.61%1.7159-12.55%0.0357✗1.1223k2022-09-19
BOBABoba NetworkEthereum0.33460.329251-1.60%0.3026-9.56%0.0579✗1.0482k2022-09-19
ADXheyAuraEthereum0.172560.169842-1.58%0.15899-7.86%0.0381✗0.765152022-09-19
ASTRAstarEthereum0.03990.039273-1.57%0.0357-10.53%0.0260✗0.899,1922022-09-19
KSMKusamaHydration52.2151.3908-1.57%40.04-23.31%0.1090✓1.03363k2022-09-19
VSYSV.SYSTEMSnative0.0016510.001625-1.55%0.001428-13.51%0.0366✓0.685,8832022-09-19
APEApeCoinEthereum5.4925.4069-1.55%5.865+6.79%0.2724✗1.406.4M2022-09-19
PORPortugal National Team Fan TokenSolana4.8634.7883-1.54%5.2403+7.76%0.2943✗1.49122k2022-09-19
LPTLivepeerEthereum11.0210.8514-1.53%9.08-17.60%0.0056✓1.34288k2022-09-19
SCSiacoinnative0.00420.004136-1.51%0.00357-15.00%0.0186✓0.94103k2022-09-19
AVAXAvalancheAvalanche21.3721.0474-1.51%17.28-19.14%0.0091✓1.3818.0M2022-09-19
JUVJuventus Fan TokenSolana5.335.2505-1.49%5.15-3.38%0.0688✗0.642.0M2022-09-19
ATMAtletico Madrid Fan TokenSolana4.554.4822-1.49%4.26-6.37%0.0323✗0.611.4M2022-09-19
UMAUMAEthereum2.7562.7152-1.48%2.425-12.01%0.0005✓0.83523k2022-09-19
BCHBitcoin CashBitcoin Cash128.87126.9692-1.47%112.05-13.05%0.0358✗1.184.4M2022-09-19
XPRXPR NetworkEthereum0.0031060.003061-1.46%0.002524-18.74%0.0679✓0.911.2M2022-09-19
SUSHISushiEthereum1.26951.251-1.46%1.0665-15.99%0.0035✓1.141.1M2022-09-19
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,591.80-1.45%1,331.44-17.57%0.0419✓1.003.3M2022-09-19
TWTTrust WalletBinance Smart Chain1.00450.990019-1.44%0.9446-5.96%0.0310✗0.572.6M2022-09-19
SUPERSuperVerseEthereum0.142110.140063-1.44%0.12606-11.29%0.0601✗1.21151k2022-09-19
CELLCellframeEthereum0.29760.293332-1.43%0.2802-5.85%0.1018✗1.0874k2022-09-19
TRACOriginTrailEthereum0.20630.203343-1.43%0.1842-10.71%0.0499✗1.09135k2022-09-19
SOLSolanaSolana37.4636.9281-1.42%32.65-12.84%0.0441✗1.2254.5M2022-09-19
ALGOAlgorandAlgorand0.32370.319134-1.41%0.3172-2.01%0.1282✗0.986.0M2022-09-19
STORJStorjEthereum0.5630.555079-1.41%0.47873-14.97%0.0348✗1.3439k2022-09-19
MOVRMoonriverBase12.66512.4887-1.39%11.4637-9.49%0.0538✗1.0221k2022-09-19
DNTdistrict0xEthereum0.04930.048614-1.39%0.0432-12.37%0.0018✓0.85145k2022-09-19
ELAElastosEthereum1.6221.5995-1.39%1.485-8.45%0.0261✗0.7329k2022-09-19
KCSKuCoinnative9.7159.5819-1.37%9.098-6.35%0.0661✗0.861.2M2022-09-19
ZENHorizenBase16.4816.2558-1.36%13.84-16.02%0.0103✓1.2579k2022-09-19
COTICOTIEthereum0.10270.101305-1.36%0.0944-8.08%0.0681✗1.01336k2022-09-19
ARPAARPAEthereum0.03970.039163-1.35%0.034-14.36%0.0023✓1.0289k2022-09-19
LSKLiskEthereum1.0911.0764-1.33%0.962594-11.77%0.0065✓0.7736k2022-09-19
XEMNEMnative0.0467110.04609-1.33%0.040881-12.48%0.0021✓0.8928k2022-09-19
PSGParis Saint-Germain Fan TokenSolana8.958.8315-1.32%8-10.61%0.0183✓0.592.4M2022-09-19
NCTPolySwarmEthereum0.012940.01277-1.32%0.01128-12.83%0.0345✓0.65233k2022-09-19
NAKANakamoto GamesPolygon0.06670.065827-1.31%0.0609-8.70%0.0655✗1.0579k2022-09-19
CERECere NetworkEthereum0.0062340.006153-1.31%0.006367+2.13%0.0849✗0.3730k2022-09-19
ICPInternet ComputerEthereum6.9266.8361-1.30%6.057-12.55%0.0155✗1.004.3M2022-09-19
ASRAS Roma Fan TokenSolana4.2854.2302-1.28%3.728-13.00%0.0762✓0.372.2M2022-09-19
LCXLCXEthereum0.05160.050943-1.27%0.0498-3.49%0.1084✗0.96234k2022-09-19
SANDThe SandboxEthereum0.95910.946897-1.27%0.8565-10.70%0.0726✗1.27899k2022-09-19
ZECZcashZcash62.9262.1379-1.24%55.26-12.17%0.0420✗1.171.1M2022-09-19
ENJEnjin CoinEthereum0.5420.535302-1.24%0.485-10.52%0.0681✗1.2277k2022-09-19
INDEXThe IndexRobinhood1.841.8183-1.18%2.28+23.91%0.2904✗0.4758k2022-09-19
SWFTCSWFTCOINEthereum0.0016260.001607-1.16%0.001532-5.78%0.0596✗0.79374k2022-09-19
IDEXIDEXEthereum0.069150.068355-1.15%0.06161-10.90%0.0235✗0.938202022-09-19
CITYManchester City Fan TokenSolana6.716.6329-1.15%6.05-9.84%0.0246✓0.492.1M2022-09-19
CWEBCoinwebEthereum0.0240350.02376-1.14%0.027182+13.09%0.1468✗0.09465k2022-09-19
SKLSKALEEthereum0.04920.048637-1.14%0.0393-20.12%0.0524✓1.18546k2022-09-19
AMPAmpEthereum0.006210.006139-1.14%0.00502-19.16%0.1146✓0.63911k2022-09-19
SHIBShiba InuEthereum0.000012880.000012733-1.14%0.00001097-14.83%0.0106✓1.011.0M2022-09-19
DKAdKargoEthereum0.047470.046929-1.14%0.04122-13.17%0.0410✓0.6514k2022-09-19
AGLDAdventure GoldEthereum0.4080.403396-1.13%0.3256-20.20%0.0656✓1.09202k2022-09-19
DOGEDogecoinDogecoin0.0639580.06324-1.12%0.05866-8.28%0.0629✗1.011.2M2022-09-19
AVTAventusEthereum1.431.4141-1.11%1.44+0.70%0.0006✓-0.14124k2022-09-19
BCHSVBitcoin Cash SV54.60954.0034-1.11%49.657-9.07%0.0371✗0.88264k2022-09-19
NEXONEXOEthereum0.970.959397-1.09%0.902-7.01%0.1007✗1.191.5M2022-09-19
1INCH1INCHEthereum0.6480.640928-1.09%0.596-8.02%0.0671✗1.02178k2022-09-19
QNTQuantEthereum106.65105.5019-1.08%107.75+1.03%0.1488✗0.933.5M2022-09-19
SUNSun TokenTron0.0063560.006288-1.07%0.005618-11.61%0.0253✓0.641,9622022-09-19
RARESuperRareEthereum0.20530.203103-1.07%0.1786-13.01%0.0247✗1.12108k2022-09-19
PHAPHALAEthereum0.10130.100221-1.07%0.0949-6.32%0.0495✗0.762,7302022-09-19
DODODODOEthereum0.13190.130495-1.06%0.1251-5.16%0.1188✗1.181.4M2022-09-19
C98Coin98Ethereum0.44360.438909-1.06%0.3928-11.45%0.0499✗1.1875k2022-09-19
CHRChromiaEthereum0.18390.181963-1.05%0.1539-16.31%0.0103✓1.151,7442022-09-19
LINKChainlinkEthereum7.7587.6765-1.05%7.3-5.90%0.1047✗1.1318.0M2022-09-19
CBKCobakEthereum0.854280.845444-1.03%0.77846-8.88%0.0253✗0.7913k2022-09-19
BTTBitTorrentEthereum9.10e-79.01e-7-1.03%8.10e-7-10.99%0.0044✓0.7415k2022-09-19
DUSKDUSKEthereum0.13470.133314-1.03%0.1151-14.55%0.0012✓1.082.7M2022-09-19
BELBella ProtocolEthereum0.6720.665109-1.03%0.572-14.88%0.0047✓1.143.3M2022-09-19
ORBSOrbsEthereum0.040.03959-1.02%0.03487-12.83%0.0316✓0.702,2982022-09-19
FTTFTXEthereum28.4628.1707-1.02%24.19-15.00%0.0135✓1.026.8M2022-09-19
LTCLitecoinLitecoin61.4160.7938-1.00%52.89-13.87%0.0033✓1.0414.0M2022-09-19
JASMYJasmyCoinEthereum0.009050.00896-0.99%0.00746-17.57%0.0543✓0.943.3M2022-09-19
XLMStellarStellar0.1138590.112732-0.99%0.111743-1.86%0.1126✗0.896.5M2022-09-19
FORTFortaEthereum0.22570.22352-0.97%0.1798-20.34%0.1139✓0.7667k2022-09-19
FETArtificial Superintelligence AllianceEthereum0.09150.09067-0.91%0.0828-9.51%0.0437✗0.9814k2022-09-19
CRVCurve DAOEthereum1.1431.1327-0.90%0.9829-14.01%0.0693✗1.544.4M2022-09-19
NANOnanopayBase0.9142160.906109-0.89%0.816606-10.68%0.0135✗0.8649k2022-09-19
BARFC Barcelona Fan TokenSolana6.386.3283-0.81%5.75-9.87%0.0241✓0.522.1M2022-09-19
GODSGods UnchainedEthereum0.316230.313702-0.80%0.38357+21.29%0.2957✗0.69326k2022-09-19
KNCKyber Network CrystalEthereum1.91231.8971-0.80%1.4112-26.20%0.1802✓0.851.4M2022-09-19
BNTBancor NetworkEthereum0.49480.490948-0.78%0.4467-9.72%0.0637✗1.16384k2022-09-19
STEEMSteemnative0.23550.233679-0.77%0.2188-7.09%0.0534✗0.87527k2022-09-19
DASHDashDash47.1746.82-0.74%40.74-13.63%0.0071✓1.07312k2022-09-19
AAVEAaveEthereum90.9990.3168-0.74%76.38-16.06%0.0414✗1.536.0M2022-09-19
YGGYield Guild GamesEthereum0.4830.479528-0.72%0.391-19.05%0.0386✓1.214,2692022-09-19
MEDMediblocOsmosis0.0220180.02186-0.72%0.020248-8.04%0.0081✗0.6212k2022-09-19
ASMAssemble AIEthereum0.021020.020871-0.71%0.01974-6.09%0.0271✗0.61191k2022-09-19
ACMAC Milan Fan TokenSolana4.2384.2083-0.70%3.746-11.61%0.0451✓0.522.3M2022-09-19
IOTAIOTAIOTA0.29170.289946-0.60%0.2595-11.04%0.0278✗1.022.7M2022-09-19
ADACardanoCardano0.50140.498562-0.57%0.4526-9.73%0.0407✗1.0138.3M2022-09-19
ETHEthereumEthereum1,716.711,707.12-0.56%1,376.17-19.84%0.0300✓1.36569.9M2022-09-19
TLMAlien WorldsEthereum0.024880.024752-0.51%0.02205-11.37%0.0322✗1.082,9582022-09-19
WBTCWrapped BitcoinEthereum22,320.8022,209.83-0.50%19,581.40-12.27%0.0004✓0.9213k2022-09-19
TRXTRONTron0.0638830.063595-0.45%0.060295-5.62%0.0104✗0.47123k2022-09-19
GTGateEthereum4.38394.3641-0.45%4.2119-3.92%0.0656✗0.74688k2022-09-19
BFCBifrostEthereum0.071990.071707-0.39%0.06261-13.03%0.0011✓1.0025k2022-09-19
XMRMoneroMonero163.77163.2259-0.33%140.37-14.29%0.0187✓0.971.4M2022-09-19
AIOZAIOZ NetworkEthereum0.060.059802-0.33%0.0547-8.83%0.0267✗0.8590k2022-09-19
BTCBitcoinBitcoin22,402.7122,372.49-0.13%19,540.38-12.78%0.0013✓1.00480.9M2022-09-19
Δ columns are percentage price moves; alpha err and the hit column are in beta-adjusted log-return space, which is what the model actually predicts. “pending” means the horizon has not matured yet. Rows are capped for readability — add &limit=2000 to widen.