8=======>

2022-09-12 · +7d

lstm_s8 · 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
+0.1906
191 of 191 tokens assessed
long-short decile
+7.83%
realised beta-adjusted alpha
direction hit
48.2%
in alpha space · 92.7% 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
GTGateEthereum4.38394.3915+0.17%4.2119-3.92%0.0594✓0.74688k2022-09-19
BFCBifrostEthereum0.071990.072048+0.08%0.06261-13.03%0.0036✗1.0025k2022-09-19
INDEXThe IndexRobinhood1.841.8389-0.06%2.28+23.91%0.2791✗0.4758k2022-09-19
DOGEDogecoinDogecoin0.0639580.063856-0.16%0.05866-8.28%0.0532✗1.011.2M2022-09-19
LCXLCXEthereum0.05160.051384-0.42%0.0498-3.49%0.0998✗0.96234k2022-09-19
TRXTRONTron0.0638830.063594-0.45%0.060295-5.62%0.0104✗0.47123k2022-09-19
BTCBitcoinBitcoin22,402.7122,288.55-0.51%19,540.38-12.78%0.0051✓1.00480.9M2022-09-19
CBKCobakEthereum0.854280.849924-0.51%0.77846-8.88%0.0200✗0.7913k2022-09-19
MEDMediblocOsmosis0.0220180.021891-0.58%0.020248-8.04%0.0067✗0.6212k2022-09-19
RARESuperRareEthereum0.20530.204061-0.60%0.1786-13.01%0.0200✗1.12108k2022-09-19
BNTBancor NetworkEthereum0.49480.491648-0.64%0.4467-9.72%0.0622✗1.16384k2022-09-19
STEEMSteemnative0.23550.233951-0.66%0.2188-7.09%0.0522✗0.87527k2022-09-19
AVTAventusEthereum1.431.4204-0.67%1.44+0.70%0.0050✓-0.14124k2022-09-19
DASHDashDash47.1746.8482-0.68%40.74-13.63%0.0065✓1.07312k2022-09-19
1INCH1INCHEthereum0.6480.643397-0.71%0.596-8.02%0.0632✗1.02178k2022-09-19
SANDThe SandboxEthereum0.95910.952271-0.71%0.8565-10.70%0.0670✗1.27899k2022-09-19
BTTBitTorrentEthereum9.10e-79.03e-7-0.73%8.10e-7-10.99%0.0074✓0.7415k2022-09-19
UMAUMAEthereum2.7562.7357-0.74%2.425-12.01%0.0070✓0.83523k2022-09-19
BELBella ProtocolEthereum0.6720.667016-0.74%0.572-14.88%0.0019✓1.143.3M2022-09-19
ZENHorizenBase16.4816.3558-0.75%13.84-16.02%0.0042✓1.2579k2022-09-19
TRACOriginTrailEthereum0.20630.204702-0.77%0.1842-10.71%0.0432✗1.09135k2022-09-19
UNIUniswapEthereum6.6596.607-0.78%5.479-17.72%0.0048✓1.406.9M2022-09-19
ETHEthereumEthereum1,716.711,702.22-0.84%1,376.17-19.84%0.0272✓1.36569.9M2022-09-19
ATMAtletico Madrid Fan TokenSolana4.554.5115-0.85%4.26-6.37%0.0258✗0.611.4M2022-09-19
DIADIAEthereum0.399770.396321-0.86%0.38968-2.52%0.1216✗1.0131k2022-09-19
ORBSOrbsEthereum0.040.039648-0.88%0.03487-12.83%0.0331✓0.702,2982022-09-19
SUPERSuperVerseEthereum0.142110.140848-0.89%0.12606-11.29%0.0545✗1.21151k2022-09-19
SOLSolanaSolana37.4637.1214-0.90%32.65-12.84%0.0389✗1.2254.5M2022-09-19
LINKChainlinkEthereum7.7587.6871-0.91%7.3-5.90%0.1033✗1.1318.0M2022-09-19
DUSKDUSKEthereum0.13470.133448-0.93%0.1151-14.55%0.0002✓1.082.7M2022-09-19
AAVEAaveEthereum90.9990.1345-0.94%76.38-16.06%0.0435✗1.536.0M2022-09-19
ASMAssemble AIEthereum0.021020.020819-0.96%0.01974-6.09%0.0296✗0.61191k2022-09-19
BCHSVBitcoin Cash SV54.60954.0818-0.97%49.657-9.07%0.0356✗0.88264k2022-09-19
TRBTellor TributesEthereum16.5816.4142-1.00%14.77-10.92%0.0012✓0.781.5M2022-09-19
NANOnanopayBase0.9142160.904936-1.02%0.816606-10.68%0.0148✗0.8649k2022-09-19
DOTPolkadotPolkadot7.6647.5862-1.02%6.385-16.69%0.0127✓1.1710.0M2022-09-19
XLMStellarStellar0.1138590.112691-1.03%0.111743-1.86%0.1130✗0.896.5M2022-09-19
C98Coin98Ethereum0.44360.438993-1.04%0.3928-11.45%0.0498✗1.1875k2022-09-19
ALGOAlgorandAlgorand0.32370.320234-1.07%0.3172-2.01%0.1248✗0.986.0M2022-09-19
LEOLEO TokenEthereum5.04524.991-1.07%4.6593-7.65%0.0600✓0.06119k2022-09-19
FORTFortaEthereum0.22570.223276-1.07%0.1798-20.34%0.1128✓0.7667k2022-09-19
BOBABoba NetworkEthereum0.33460.330933-1.10%0.3026-9.56%0.0528✗1.0482k2022-09-19
LSKLiskEthereum1.0911.079-1.10%0.962594-11.77%0.0088✓0.7736k2022-09-19
SUNSun TokenTron0.0063560.006286-1.10%0.005618-11.61%0.0250✓0.641,9622022-09-19
DODODODOEthereum0.13190.130445-1.10%0.1251-5.16%0.1192✗1.181.4M2022-09-19
BCHBitcoin CashBitcoin Cash128.87127.4464-1.10%112.05-13.05%0.0320✗1.184.4M2022-09-19
JASMYJasmyCoinEthereum0.009050.008949-1.11%0.00746-17.57%0.0531✓0.943.3M2022-09-19
ENJEnjin CoinEthereum0.5420.535931-1.12%0.485-10.52%0.0669✗1.2277k2022-09-19
CHRChromiaEthereum0.18390.181837-1.12%0.1539-16.31%0.0096✓1.151,7442022-09-19
IOTAIOTAIOTA0.29170.28838-1.14%0.2595-11.04%0.0332✗1.022.7M2022-09-19
KCSKuCoinnative9.7159.6037-1.15%9.098-6.35%0.0638✗0.861.2M2022-09-19
AIOZAIOZ NetworkEthereum0.060.059311-1.15%0.0547-8.83%0.0349✗0.8590k2022-09-19
SHIBShiba InuEthereum0.000012880.000012731-1.16%0.00001097-14.83%0.0105✓1.011.0M2022-09-19
GODSGods UnchainedEthereum0.316230.31253-1.17%0.38357+21.29%0.2994✗0.69326k2022-09-19
ACHAlchemy PayEthereum0.0131540.013-1.17%0.011897-9.56%0.0257✗0.84882k2022-09-19
FETArtificial Superintelligence AllianceEthereum0.09150.090418-1.18%0.0828-9.51%0.0465✗0.9814k2022-09-19
TWTTrust WalletBinance Smart Chain1.00450.992607-1.18%0.9446-5.96%0.0284✗0.572.6M2022-09-19
TKOTokocryptoBinance Smart Chain0.2750.271744-1.18%0.256-6.91%0.0457✗0.77563k2022-09-19
XMRMoneroMonero163.77161.8212-1.19%140.37-14.29%0.0101✓0.971.4M2022-09-19
DKAdKargoEthereum0.047470.0469-1.20%0.04122-13.17%0.0403✓0.6514k2022-09-19
VSYSV.SYSTEMSnative0.0016510.001631-1.21%0.001428-13.51%0.0401✓0.685,8832022-09-19
BATBasic AttentionEthereum0.354360.349959-1.24%0.30629-13.57%0.0141✗1.0833k2022-09-19
NAKANakamoto GamesPolygon0.06670.065867-1.25%0.0609-8.70%0.0649✗1.0579k2022-09-19
XEMNEMnative0.0467110.046107-1.29%0.040881-12.48%0.0017✓0.8928k2022-09-19
NCTPolySwarmEthereum0.012940.012772-1.30%0.01128-12.83%0.0347✓0.65233k2022-09-19
ADACardanoCardano0.50140.494767-1.32%0.4526-9.73%0.0484✗1.0138.3M2022-09-19
MANADecentralandEthereum0.794220.783613-1.34%0.72902-8.21%0.0821✗1.13624k2022-09-19
OXTOrchid ProtocolEthereum0.11410.112576-1.34%0.1003-12.09%0.0047✓0.88188k2022-09-19
WBTCWrapped BitcoinEthereum22,320.8022,019.51-1.35%19,581.40-12.27%0.0082✓0.9213k2022-09-19
XVSVenusEthereum4.984.9121-1.36%4.59-7.83%0.0505✗0.87839k2022-09-19
SCSiacoinnative0.00420.004141-1.40%0.00357-15.00%0.0198✓0.94103k2022-09-19
SPELLSpellEthereum0.0013230.001304-1.45%0.0011-16.90%0.0575✓0.832.2M2022-09-19
SWFTCSWFTCOINEthereum0.0016260.001602-1.45%0.001532-5.78%0.0626✗0.79374k2022-09-19
LTCLitecoinLitecoin61.4160.507-1.47%52.89-13.87%0.0081✓1.0414.0M2022-09-19
CERECere NetworkEthereum0.0062340.006142-1.47%0.006367+2.13%0.0866✗0.3730k2022-09-19
COTICOTIEthereum0.10270.101152-1.51%0.0944-8.08%0.0696✗1.01336k2022-09-19
GITCOINGITCOIN2.14882.1164-1.51%1.8797-12.52%0.0356✗1.1313k2022-09-19
CVCCivicEthereum0.15180.149508-1.51%0.1312-13.57%0.0058✓1.00119k2022-09-19
SUSHISushiEthereum1.26951.2502-1.52%1.0665-15.99%0.0029✓1.141.1M2022-09-19
JUVJuventus Fan TokenSolana5.335.2487-1.52%5.15-3.38%0.0691✗0.642.0M2022-09-19
YGGYield Guild GamesEthereum0.4830.4756-1.53%0.391-19.05%0.0304✓1.214,2692022-09-19
ZECZcashZcash62.9261.9408-1.56%55.26-12.17%0.0452✗1.171.1M2022-09-19
ARPAARPAEthereum0.03970.039071-1.59%0.034-14.36%0.0001✓1.0289k2022-09-19
AGLDAdventure GoldEthereum0.4080.401481-1.60%0.3256-20.20%0.0608✓1.09202k2022-09-19
TLMAlien WorldsEthereum0.024880.024482-1.60%0.02205-11.37%0.0432✗1.082,9582022-09-19
BTTCBTTC9.00e-78.85e-7-1.61%8.00e-7-11.11%0.0006✓0.741.7M2022-09-19
CELLCellframeEthereum0.29760.292768-1.62%0.2802-5.85%0.1037✗1.0874k2022-09-19
ICPInternet ComputerEthereum6.9266.8131-1.63%6.057-12.55%0.0189✗1.004.3M2022-09-19
ALICEMy Neighbor AliceEthereum2.1712.1356-1.63%1.845-15.02%0.0278✗1.2732k2022-09-19
PHAPHALAEthereum0.10130.099636-1.64%0.0949-6.32%0.0553✗0.762,7302022-09-19
API3Api3Ethereum1.8031.7734-1.64%1.496-17.03%0.0311✓1.02627k2022-09-19
ASRAS Roma Fan TokenSolana4.2854.2137-1.66%3.728-13.00%0.0723✓0.372.2M2022-09-19
SKLSKALEEthereum0.04920.048377-1.67%0.0393-20.12%0.0471✓1.18546k2022-09-19
CRVCurve DAOEthereum1.1431.1238-1.68%0.9829-14.01%0.0771✗1.544.4M2022-09-19
XYMSymbolnative0.0426730.041955-1.68%0.039404-7.66%0.0103✓0.5323k2022-09-19
QNTQuantEthereum106.65104.8483-1.69%107.75+1.03%0.1550✗0.933.5M2022-09-19
OMGOMG NetworkEthereum1.9621.9288-1.69%1.7159-12.55%0.0365✗1.1223k2022-09-19
IDEXIDEXEthereum0.069150.067969-1.71%0.06161-10.90%0.0292✗0.938202022-09-19
STXStacksnative0.38790.381249-1.71%0.3301-14.90%0.0022✓1.07314k2022-09-19
PSGParis Saint-Germain Fan TokenSolana8.958.7954-1.73%8-10.61%0.0142✓0.592.4M2022-09-19
XPRXPR NetworkEthereum0.0031060.003052-1.73%0.002524-18.74%0.0652✓0.911.2M2022-09-19
SNXSynthetixEthereum2.9432.8921-1.73%2.506-14.85%0.0687✗1.552.9M2022-09-19
XTZTezosTezos1.65651.6277-1.74%1.4887-10.13%0.0556✗1.06241k2022-09-19
ENSEthereum Name ServiceEthereum15.1214.8551-1.75%13.68-9.52%0.0544✗1.001.8M2022-09-19
RADRadworksEthereum2.462.4168-1.76%2.07-15.85%0.0718✓0.61261k2022-09-19
DYDXdYdXCosmos1.5631.5352-1.78%1.258-19.51%0.0317✓1.2343k2022-09-19
MOVRMoonriverBase12.66512.4363-1.81%11.4637-9.49%0.0580✗1.0221k2022-09-19
ZRX0x ProtocolEthereum0.320430.314639-1.81%0.271513-15.27%0.0127✓0.99471k2022-09-19
BORABORAKlay Token0.29430.28897-1.81%0.25224-14.29%0.0124✓0.9015k2022-09-19
AVAXAvalancheAvalanche21.3720.9826-1.81%17.28-19.14%0.0060✓1.3818.0M2022-09-19
DNTdistrict0xEthereum0.04930.048404-1.82%0.0432-12.37%0.0025✓0.85145k2022-09-19
QTUMQtumQtum3.29333.2334-1.82%2.9221-11.27%0.0407✗1.0419k2022-09-19
ACMAC Milan Fan TokenSolana4.2384.1602-1.84%3.746-11.61%0.0336✓0.522.3M2022-09-19
DEXEDeXeEthereum3.2453.1849-1.85%2.975-8.32%0.0173✓0.37676k2022-09-19
CTSICartesiEthereum0.15470.151799-1.88%0.1384-10.54%0.0459✗1.01336k2022-09-19
FISStafiEthereum0.36270.355892-1.88%0.3044-16.07%0.0119✓1.061,1592022-09-19
COMPCompoundEthereum54.7353.7002-1.88%52.16-4.70%0.1448✗1.278,6412022-09-19
RUNETHORChainTHORChain1.9351.8985-1.88%1.699-12.20%0.1230✗1.7160k2022-09-19
AMPAmpEthereum0.006210.006088-1.96%0.00502-19.16%0.1063✓0.63911k2022-09-19
OGOG Fan TokenSolana5.9485.8305-1.98%5.296-10.96%0.0083✓0.643.1M2022-09-19
OGNOrigin TokenEthereum0.177310.173775-1.99%0.145-18.22%0.0333✓1.08271k2022-09-19
MINAMina Protocolnative0.670.656638-1.99%0.598-10.75%0.0521✗1.07111k2022-09-19
ORCAOrcaSolana0.89480.876903-2.00%0.8509-4.91%0.1841✗1.5789k2022-09-19
ASTRAstarEthereum0.03990.039095-2.02%0.0357-10.53%0.0305✗0.899,1922022-09-19
KSMKusamaHydration52.2151.1424-2.04%40.04-23.31%0.1042✓1.03363k2022-09-19
STORJStorjEthereum0.5630.551337-2.07%0.47873-14.97%0.0416✗1.3439k2022-09-19
RIFRootstock Infrastructure FrameworkEthereum0.06540.064042-2.08%0.0563-13.91%0.0375✗1.22563k2022-09-19
KNCKyber Network CrystalEthereum1.91231.8723-2.09%1.4112-26.20%0.1671✓0.851.4M2022-09-19
ADXheyAuraEthereum0.172560.168947-2.09%0.15899-7.86%0.0434✗0.765152022-09-19
ELAElastosEthereum1.6221.588-2.09%1.485-8.45%0.0333✗0.7329k2022-09-19
POKTPocket NetworkEthereum0.11440.111994-2.10%0.0903-21.07%0.1335✓0.60188k2022-09-19
XYOXYO NetworkEthereum0.008330.008152-2.13%0.0074-11.16%0.0639✗1.18428k2022-09-19
BANDBandEthereum1.3521.3232-2.13%1.167-13.68%0.0489✗1.28323k2022-09-19
NEXONEXOEthereum0.970.949254-2.14%0.902-7.01%0.1113✗1.191.5M2022-09-19
GALAGALAEthereum0.05130.050202-2.14%0.0433-15.59%0.0112✓1.16178k2022-09-19
XECeCashnative0.000045970.000044985-2.14%0.0000394-14.29%0.0122✓0.883.0M2022-09-19
MASKMask NetworkEthereum1.411.3796-2.15%1.19-15.60%0.0029✓1.0668k2022-09-19
BARFC Barcelona Fan TokenSolana6.386.2418-2.17%5.75-9.87%0.0103✓0.522.1M2022-09-19
RLCiExec RLCEthereum1.39761.3673-2.17%1.1772-15.77%0.0018✓1.08922k2022-09-19
PEOPLEConstitutionDAOEthereum0.02280.022305-2.17%0.0223-2.19%0.1455✗1.0710.3M2022-09-19
AXSAxie InfinityEthereum14.2213.9104-2.18%12.27-13.71%0.0367✗1.19925k2022-09-19
CITYManchester City Fan TokenSolana6.716.5637-2.18%6.05-9.84%0.0141✓0.492.1M2022-09-19
ANKRAnkr NetworkEthereum0.03730.036484-2.19%0.03126-16.19%0.0096✓1.0635k2022-09-19
MTLMetal DAOMetal L21.2791.2504-2.24%1.092-14.62%0.0078✓0.931.1M2022-09-19
PROPropyEthereum0.730.713038-2.32%0.66-9.59%0.0444✓0.2444k2022-09-19
FTTFTXEthereum28.4627.7965-2.33%24.19-15.00%0.0001✓1.026.8M2022-09-19
AUCTIONBounceEthereum7.427.2433-2.38%6.52-12.13%0.0446✗1.10224k2022-09-19
APEApeCoinEthereum5.4925.3567-2.46%5.865+6.79%0.2818✗1.406.4M2022-09-19
LRCLoopringEthereum0.35140.342733-2.47%0.3113-11.41%0.0639✗1.1772k2022-09-19
BICOBiconomyEthereum0.51290.500243-2.47%0.4508-12.11%0.0130✓0.86396k2022-09-19
PORPortugal National Team Fan TokenSolana4.8634.7429-2.47%5.2403+7.76%0.3038✗1.49122k2022-09-19
GTCGitcoinEthereum2.192.1358-2.48%1.88-14.16%0.0466✗1.27227k2022-09-19
CWEBCoinwebEthereum0.0240350.023434-2.50%0.027182+13.09%0.1606✗0.09465k2022-09-19
FLOWFlownative2.1022.0493-2.51%1.696-19.31%0.0046✓1.42967k2022-09-19
ETCEthereum Classicnative38.4537.4675-2.56%30.44-20.83%0.0076✓1.5810.6M2022-09-19
CELRCeler NetworkEthereum0.0184890.018008-2.60%0.0155-16.17%0.0132✓1.009912022-09-19
LPTLivepeerEthereum11.0210.7225-2.70%9.08-17.60%0.0176✓1.34288k2022-09-19
POWRPowerledgerEthereum0.23460.228262-2.70%0.1992-15.09%0.0135✓0.9057k2022-09-19
CTKShentuOsmosis1.010.982002-2.77%0.893-11.58%0.0392✓0.412.7M2022-09-19
GLMRMoonbeamBase0.5690.553187-2.78%0.473-16.87%0.0001✓1.1466k2022-09-19
METISMetisEthereum29.9329.0946-2.79%24.04-19.68%0.0367✗1.66159k2022-09-19
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,570.05-2.80%1,331.44-17.57%0.0281✓1.003.3M2022-09-19
NEARNEAR ProtocolNEAR5.0934.9501-2.81%4.057-20.34%0.0623✓1.001.4M2022-09-19
YFIyearn.financeEthereum9,751.479,477.32-2.81%8,481.63-13.02%0.0828✗1.424.1M2022-09-19
OPTIMOptimism1.2671.2303-2.90%0.955-24.63%0.0217✓1.692.7M2022-09-19
NMRNumeraireEthereum18.2317.699-2.91%15.52-14.87%0.0584✓0.53396k2022-09-19
WOOWOOEthereum0.16420.159405-2.92%0.1389-15.41%0.0416✗1.319132022-09-19
HIVEHivenative0.58020.563059-2.95%0.5271-9.15%0.0184✓0.62836k2022-09-19
XCNOnyxcoinEthereum0.0740.071756-3.03%0.0621-16.08%0.1261✓0.13378k2022-09-19
EWTEnergy Web TokenEthereum4.5244.3835-3.11%4.135-8.60%0.0704✗0.94273k2022-09-19
FIDABonfidaSolana0.4810.46583-3.15%0.437-9.15%0.0787✗1.047,9852022-09-19
PORTOFC PortoBinance Smart Chain7.00496.7817-3.19%5.54-20.91%0.1885✓0.109.1M2022-09-19
IMXImmutableEthereum0.86380.835456-3.28%0.7721-10.62%0.0817✗1.17946k2022-09-19
XVGVergenative0.003570.003451-3.33%0.00326-8.68%0.0783✗0.99483k2022-09-19
FILFilecoinFilecoin6.5566.3344-3.38%5.478-16.44%0.0128✓0.976.2M2022-09-19
GMTGMTEthereum0.74190.716703-3.40%0.6251-15.74%0.0738✗1.54210k2022-09-19
HIGHHighstreetEthereum1.5341.4817-3.41%1.365-11.02%0.0719✗1.1371k2022-09-19
UOSUltraEthereum0.440280.424272-3.64%0.4068-7.60%0.0921✗0.98379k2022-09-19
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.3965-3.65%3.5781-21.58%0.1221✓0.618.1M2022-09-19
GRTThe GraphEthereum0.12860.123808-3.73%0.1014-21.15%0.0284✓1.252.5M2022-09-19
CHZChilizEthereum0.20140.193782-3.78%0.2531+25.67%0.4016✗0.983.2M2022-09-19
ATOMCosmos HubCosmos15.5314.9372-3.82%15.618+0.57%0.2197✗1.2819.6M2022-09-19
SANTOSSantos FC Fan TokenBinance Smart Chain12.3411.8687-3.82%12.487+1.19%0.1021✗0.3816.0M2022-09-19
ROSEOasisBinance Smart Chain0.064740.062198-3.93%0.05812-10.23%0.1028✗1.251.2M2022-09-19
PONDMarlinEthereum0.0120040.011442-4.68%0.011007-8.31%0.0979✗1.006492022-09-19
LAZIOLazio Fan TokenBinance Smart Chain7.66047.3015-4.69%5.92-22.72%0.1755✓0.2511.9M2022-09-19
LUNATerraTerra 20.00030.00028578-4.74%0.00031125+3.75%0.1222✗0.272.3M2022-09-19
BRISEBitgertEthereum7.49e-77.13e-7-4.74%5.57e-7-25.56%0.1275✓0.872.3M2022-09-19
ALEPHAleph CloudEthereum0.19160.179577-6.28%0.1112-41.96%0.4602✓0.1483k2022-09-19
AERGOAergo [OLD]Ethereum0.21640.200198-7.49%0.1327-38.68%0.3089✓0.7526k2022-09-19
GLMGolemEthereum0.40930.377322-7.81%0.2908-28.95%0.1493✓0.8189k2022-09-19
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.