8=======>

2022-09-12 · +7d

lstm_s7 · 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
+0.1043
191 of 191 tokens assessed
long-short decile
+8.22%
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
AERGOAergo [OLD]Ethereum0.21640.204151-5.66%0.1327-38.68%0.3284✓0.7526k2022-09-19
NMRNumeraireEthereum18.2317.2516-5.37%15.52-14.87%0.0328✓0.53396k2022-09-19
GLMGolemEthereum0.40930.388002-5.20%0.2908-28.95%0.1772✓0.8189k2022-09-19
LAZIOLazio Fan TokenBinance Smart Chain7.66047.3723-3.76%5.92-22.72%0.1851✓0.2511.9M2022-09-19
LUNATerraTerra 20.00030.00028928-3.57%0.00031125+3.75%0.1100✗0.272.3M2022-09-19
NEARNEAR ProtocolNEAR5.0934.9119-3.56%4.057-20.34%0.0545✓1.001.4M2022-09-19
ROSEOasisBinance Smart Chain0.064740.062476-3.50%0.05812-10.23%0.0984✗1.251.2M2022-09-19
PONDMarlinEthereum0.0120040.011587-3.47%0.011007-8.31%0.0853✗1.006492022-09-19
BRISEBitgertEthereum7.49e-77.24e-7-3.33%5.57e-7-25.56%0.1423✓0.872.3M2022-09-19
PORTOFC PortoBinance Smart Chain7.00496.7777-3.24%5.54-20.91%0.1879✓0.109.1M2022-09-19
MASKMask NetworkEthereum1.411.3645-3.22%1.19-15.60%0.0081✓1.0668k2022-09-19
FILFilecoinFilecoin6.5566.3452-3.22%5.478-16.44%0.0145✓0.976.2M2022-09-19
DYDXdYdXCosmos1.5631.5156-3.03%1.258-19.51%0.0188✓1.2343k2022-09-19
GLMRMoonbeamBase0.5690.551956-3.00%0.473-16.87%0.0021✓1.1466k2022-09-19
AUCTIONBounceEthereum7.427.2016-2.94%6.52-12.13%0.0504✗1.10224k2022-09-19
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,569.06-2.86%1,331.44-17.57%0.0275✓1.003.3M2022-09-19
EWTEnergy Web TokenEthereum4.5244.3953-2.85%4.135-8.60%0.0677✗0.94273k2022-09-19
HIVEHivenative0.58020.564009-2.79%0.5271-9.15%0.0167✓0.62836k2022-09-19
YFIyearn.financeEthereum9,751.479,484.25-2.74%8,481.63-13.02%0.0820✗1.424.1M2022-09-19
OPTIMOptimism1.2671.2325-2.72%0.955-24.63%0.0235✓1.692.7M2022-09-19
ALEPHAleph CloudEthereum0.19160.186404-2.71%0.1112-41.96%0.4976✓0.1483k2022-09-19
ORCAOrcaSolana0.89480.871082-2.65%0.8509-4.91%0.1907✗1.5789k2022-09-19
SANTOSSantos FC Fan TokenBinance Smart Chain12.3412.0205-2.59%12.487+1.19%0.0894✗0.3816.0M2022-09-19
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.445-2.58%3.5781-21.58%0.1331✓0.618.1M2022-09-19
COMPCompoundEthereum54.7353.3344-2.55%52.16-4.70%0.1516✗1.278,6412022-09-19
ENSEthereum Name ServiceEthereum15.1214.7351-2.55%13.68-9.52%0.0625✗1.001.8M2022-09-19
HIGHHighstreetEthereum1.5341.4955-2.51%1.365-11.02%0.0626✗1.1371k2022-09-19
FLOWFlownative2.1022.0504-2.46%1.696-19.31%0.0041✓1.42967k2022-09-19
FTTFTXEthereum28.4627.7694-2.43%24.19-15.00%0.0009✓1.026.8M2022-09-19
LRCLoopringEthereum0.35140.342887-2.42%0.3113-11.41%0.0634✗1.1772k2022-09-19
CHZChilizEthereum0.20140.196532-2.42%0.2531+25.67%0.3875✗0.983.2M2022-09-19
ETCEthereum Classicnative38.4537.5347-2.38%30.44-20.83%0.0058✓1.5810.6M2022-09-19
LEOLEO TokenEthereum5.04524.9279-2.32%4.6593-7.65%0.0473✓0.06119k2022-09-19
CRVCurve DAOEthereum1.1431.1177-2.21%0.9829-14.01%0.0826✗1.544.4M2022-09-19
GRTThe GraphEthereum0.12860.125789-2.19%0.1014-21.15%0.0443✓1.252.5M2022-09-19
CTKShentuOsmosis1.010.988242-2.15%0.893-11.58%0.0455✓0.412.7M2022-09-19
ATOMCosmos HubCosmos15.5315.2007-2.12%15.618+0.57%0.2022✗1.2819.6M2022-09-19
PROPropyEthereum0.730.714541-2.12%0.66-9.59%0.0465✓0.2444k2022-09-19
CELRCeler NetworkEthereum0.0184890.0181-2.11%0.0155-16.17%0.0184✓1.009912022-09-19
RLCiExec RLCEthereum1.39761.3687-2.07%1.1772-15.77%0.0028✓1.08922k2022-09-19
STXStacksnative0.38790.379939-2.05%0.3301-14.90%0.0056✓1.07314k2022-09-19
MANADecentralandEthereum0.794220.777989-2.04%0.72902-8.21%0.0893✗1.13624k2022-09-19
GTCGitcoinEthereum2.192.1453-2.04%1.88-14.16%0.0422✗1.27227k2022-09-19
DEXEDeXeEthereum3.2453.1794-2.02%2.975-8.32%0.0156✓0.37676k2022-09-19
TRBTellor TributesEthereum16.5816.2465-2.01%14.77-10.92%0.0115✓0.781.5M2022-09-19
ELAElastosEthereum1.6221.5896-2.00%1.485-8.45%0.0323✗0.7329k2022-09-19
1INCH1INCHEthereum0.6480.635065-2.00%0.596-8.02%0.0763✗1.02178k2022-09-19
XVGVergenative0.003570.003499-1.99%0.00326-8.68%0.0645✗0.99483k2022-09-19
POWRPowerledgerEthereum0.23460.229973-1.97%0.1992-15.09%0.0210✓0.9057k2022-09-19
JASMYJasmyCoinEthereum0.009050.008872-1.96%0.00746-17.57%0.0444✓0.943.3M2022-09-19
RADRadworksEthereum2.462.4125-1.93%2.07-15.85%0.0699✓0.61261k2022-09-19
XECeCashnative0.000045970.000045091-1.91%0.0000394-14.29%0.0146✓0.883.0M2022-09-19
CWEBCoinwebEthereum0.0240350.023577-1.91%0.027182+13.09%0.1545✗0.09465k2022-09-19
BICOBiconomyEthereum0.51290.50327-1.88%0.4508-12.11%0.0069✓0.86396k2022-09-19
UOSUltraEthereum0.440280.432045-1.87%0.4068-7.60%0.0740✗0.98379k2022-09-19
METISMetisEthereum29.9329.3709-1.87%24.04-19.68%0.0273✗1.66159k2022-09-19
ADXheyAuraEthereum0.172560.169343-1.86%0.15899-7.86%0.0411✗0.765152022-09-19
FIDABonfidaSolana0.4810.472137-1.84%0.437-9.15%0.0653✗1.047,9852022-09-19
BOBABoba NetworkEthereum0.33460.328452-1.84%0.3026-9.56%0.0603✗1.0482k2022-09-19
XCNOnyxcoinEthereum0.0740.072659-1.81%0.0621-16.08%0.1387✓0.13378k2022-09-19
KSMKusamaHydration52.2151.2726-1.80%40.04-23.31%0.1067✓1.03363k2022-09-19
DOTPolkadotPolkadot7.6647.5279-1.78%6.385-16.69%0.0050✓1.1710.0M2022-09-19
MTLMetal DAOMetal L21.2791.2565-1.76%1.092-14.62%0.0127✓0.931.1M2022-09-19
CTSICartesiEthereum0.15470.151985-1.75%0.1384-10.54%0.0447✗1.01336k2022-09-19
LTCLitecoinLitecoin61.4160.3559-1.72%52.89-13.87%0.0106✓1.0414.0M2022-09-19
ACHAlchemy PayEthereum0.0131540.01293-1.70%0.011897-9.56%0.0310✗0.84882k2022-09-19
TKOTokocryptoBinance Smart Chain0.2750.270324-1.70%0.256-6.91%0.0510✗0.77563k2022-09-19
OGNOrigin TokenEthereum0.177310.17432-1.69%0.145-18.22%0.0364✓1.08271k2022-09-19
SNXSynthetixEthereum2.9432.8934-1.69%2.506-14.85%0.0683✗1.552.9M2022-09-19
XYOXYO NetworkEthereum0.008330.008191-1.67%0.0074-11.16%0.0592✗1.18428k2022-09-19
RUNETHORChainTHORChain1.9351.9027-1.67%1.699-12.20%0.1208✗1.7160k2022-09-19
SWFTCSWFTCOINEthereum0.0016260.001599-1.66%0.001532-5.78%0.0647✗0.79374k2022-09-19
QNTQuantEthereum106.65104.8839-1.66%107.75+1.03%0.1547✗0.933.5M2022-09-19
BTTCBTTC9.00e-78.85e-7-1.64%8.00e-7-11.11%0.0003✓0.741.7M2022-09-19
SPELLSpellEthereum0.0013230.001302-1.64%0.0011-16.90%0.0555✓0.832.2M2022-09-19
KCSKuCoinnative9.7159.5574-1.62%9.098-6.35%0.0687✗0.861.2M2022-09-19
GALAGALAEthereum0.05130.050469-1.62%0.0433-15.59%0.0059✓1.16178k2022-09-19
AXSAxie InfinityEthereum14.2213.9902-1.62%12.27-13.71%0.0309✗1.19925k2022-09-19
IMXImmutableEthereum0.86380.849911-1.61%0.7721-10.62%0.0646✗1.17946k2022-09-19
FISStafiEthereum0.36270.356872-1.61%0.3044-16.07%0.0147✓1.061,1592022-09-19
PORPortugal National Team Fan TokenSolana4.8634.7856-1.59%5.2403+7.76%0.2948✗1.49122k2022-09-19
AVAXAvalancheAvalanche21.3721.0328-1.58%17.28-19.14%0.0084✓1.3818.0M2022-09-19
POKTPocket NetworkEthereum0.11440.112597-1.58%0.0903-21.07%0.1388✓0.60188k2022-09-19
ASTRAstarEthereum0.03990.039274-1.57%0.0357-10.53%0.0260✗0.899,1922022-09-19
ICPInternet ComputerEthereum6.9266.8175-1.57%6.057-12.55%0.0183✗1.004.3M2022-09-19
ALGOAlgorandAlgorand0.32370.318674-1.55%0.3172-2.01%0.1297✗0.986.0M2022-09-19
SOLSolanaSolana37.4636.8788-1.55%32.65-12.84%0.0454✗1.2254.5M2022-09-19
DIADIAEthereum0.399770.393588-1.55%0.38968-2.52%0.1285✗1.0131k2022-09-19
OXTOrchid ProtocolEthereum0.11410.112378-1.51%0.1003-12.09%0.0065✓0.88188k2022-09-19
XLMStellarStellar0.1138590.112164-1.49%0.111743-1.86%0.1177✗0.896.5M2022-09-19
CITYManchester City Fan TokenSolana6.716.6102-1.49%6.05-9.84%0.0211✓0.492.1M2022-09-19
QTUMQtumQtum3.29333.2445-1.48%2.9221-11.27%0.0373✗1.0419k2022-09-19
DODODODOEthereum0.13190.129944-1.48%0.1251-5.16%0.1230✗1.181.4M2022-09-19
ALICEMy Neighbor AliceEthereum2.1712.1389-1.48%1.845-15.02%0.0263✗1.2732k2022-09-19
RIFRootstock Infrastructure FrameworkEthereum0.06540.064435-1.48%0.0563-13.91%0.0314✗1.22563k2022-09-19
PEOPLEConstitutionDAOEthereum0.02280.022464-1.47%0.0223-2.19%0.1383✗1.0710.3M2022-09-19
MOVRMoonriverBase12.66512.4787-1.47%11.4637-9.49%0.0546✗1.0221k2022-09-19
NEXONEXOEthereum0.970.955809-1.46%0.902-7.01%0.1044✗1.191.5M2022-09-19
BORABORAKlay Token0.29430.289998-1.46%0.25224-14.29%0.0160✓0.9015k2022-09-19
PSGParis Saint-Germain Fan TokenSolana8.958.8196-1.46%8-10.61%0.0170✓0.592.4M2022-09-19
RARESuperRareEthereum0.20530.202318-1.45%0.1786-13.01%0.0286✗1.12108k2022-09-19
SANDThe SandboxEthereum0.95910.945209-1.45%0.8565-10.70%0.0744✗1.27899k2022-09-19
ADACardanoCardano0.50140.49414-1.45%0.4526-9.73%0.0496✗1.0138.3M2022-09-19
BNTBancor NetworkEthereum0.49480.487665-1.44%0.4467-9.72%0.0704✗1.16384k2022-09-19
ENJEnjin CoinEthereum0.5420.534313-1.42%0.485-10.52%0.0699✗1.2277k2022-09-19
XMRMoneroMonero163.77161.4478-1.42%140.37-14.29%0.0078✓0.971.4M2022-09-19
C98Coin98Ethereum0.44360.437324-1.41%0.3928-11.45%0.0536✗1.1875k2022-09-19
XPRXPR NetworkEthereum0.0031060.003063-1.40%0.002524-18.74%0.0686✓0.911.2M2022-09-19
LPTLivepeerEthereum11.0210.8663-1.39%9.08-17.60%0.0042✓1.34288k2022-09-19
KNCKyber Network CrystalEthereum1.91231.8858-1.39%1.4112-26.20%0.1743✓0.851.4M2022-09-19
LINKChainlinkEthereum7.7587.6503-1.39%7.3-5.90%0.1081✗1.1318.0M2022-09-19
ZENHorizenBase16.4816.2531-1.38%13.84-16.02%0.0105✓1.2579k2022-09-19
DUSKDUSKEthereum0.13470.132846-1.38%0.1151-14.55%0.0048✓1.082.7M2022-09-19
ANKRAnkr NetworkEthereum0.03730.036798-1.35%0.03126-16.19%0.0182✓1.0635k2022-09-19
IOTAIOTAIOTA0.29170.287788-1.34%0.2595-11.04%0.0353✗1.022.7M2022-09-19
GODSGods UnchainedEthereum0.316230.312084-1.31%0.38357+21.29%0.3009✗0.69326k2022-09-19
MINAMina Protocolnative0.670.661354-1.29%0.598-10.75%0.0449✗1.07111k2022-09-19
SKLSKALEEthereum0.04920.04857-1.28%0.0393-20.12%0.0510✓1.18546k2022-09-19
LCXLCXEthereum0.05160.050951-1.26%0.0498-3.49%0.1083✗0.96234k2022-09-19
APEApeCoinEthereum5.4925.4235-1.25%5.865+6.79%0.2694✗1.406.4M2022-09-19
XYMSymbolnative0.0426730.042142-1.24%0.039404-7.66%0.0058✓0.5323k2022-09-19
AGLDAdventure GoldEthereum0.4080.402931-1.24%0.3256-20.20%0.0644✓1.09202k2022-09-19
AVTAventusEthereum1.431.4123-1.24%1.44+0.70%0.0007✓-0.14124k2022-09-19
BANDBandEthereum1.3521.3354-1.23%1.167-13.68%0.0397✗1.28323k2022-09-19
NAKANakamoto GamesPolygon0.06670.065882-1.23%0.0609-8.70%0.0647✗1.0579k2022-09-19
NCTPolySwarmEthereum0.012940.012781-1.23%0.01128-12.83%0.0354✓0.65233k2022-09-19
UNIUniswapEthereum6.6596.5776-1.22%5.479-17.72%0.0093✓1.406.9M2022-09-19
FORTFortaEthereum0.22570.222985-1.20%0.1798-20.34%0.1115✓0.7667k2022-09-19
GMTGMTEthereum0.74190.732978-1.20%0.6251-15.74%0.0513✗1.54210k2022-09-19
ZRX0x ProtocolEthereum0.320430.316593-1.20%0.271513-15.27%0.0189✓0.99471k2022-09-19
DOGEDogecoinDogecoin0.0639580.063192-1.20%0.05866-8.28%0.0636✗1.011.2M2022-09-19
API3Api3Ethereum1.8031.7817-1.18%1.496-17.03%0.0358✓1.02627k2022-09-19
ACMAC Milan Fan TokenSolana4.2384.188-1.18%3.746-11.61%0.0403✓0.522.3M2022-09-19
AMPAmpEthereum0.006210.006137-1.18%0.00502-19.16%0.1142✓0.63911k2022-09-19
ZECZcashZcash62.9262.1831-1.17%55.26-12.17%0.0413✗1.171.1M2022-09-19
MEDMediblocOsmosis0.0220180.021762-1.16%0.020248-8.04%0.0126✗0.6212k2022-09-19
ATMAtletico Madrid Fan TokenSolana4.554.4974-1.16%4.26-6.37%0.0289✗0.611.4M2022-09-19
OGOG Fan TokenSolana5.9485.8804-1.14%5.296-10.96%0.0169✓0.643.1M2022-09-19
BARFC Barcelona Fan TokenSolana6.386.3099-1.10%5.75-9.87%0.0212✓0.522.1M2022-09-19
BELBella ProtocolEthereum0.6720.664619-1.10%0.572-14.88%0.0055✓1.143.3M2022-09-19
VSYSV.SYSTEMSnative0.0016510.001633-1.09%0.001428-13.51%0.0414✓0.685,8832022-09-19
ETHEthereumEthereum1,716.711,698.08-1.09%1,376.17-19.84%0.0247✓1.36569.9M2022-09-19
SUSHISushiEthereum1.26951.2558-1.08%1.0665-15.99%0.0074✓1.141.1M2022-09-19
ASMAssemble AIEthereum0.021020.020798-1.06%0.01974-6.09%0.0306✗0.61191k2022-09-19
INDEXThe IndexRobinhood1.841.8206-1.05%2.28+23.91%0.2891✗0.4758k2022-09-19
XTZTezosTezos1.65651.6392-1.05%1.4887-10.13%0.0486✗1.06241k2022-09-19
YGGYield Guild GamesEthereum0.4830.477994-1.04%0.391-19.05%0.0354✓1.214,2692022-09-19
GITCOINGITCOIN2.14882.1265-1.04%1.8797-12.52%0.0308✗1.1313k2022-09-19
CERECere NetworkEthereum0.0062340.006169-1.04%0.006367+2.13%0.0822✗0.3730k2022-09-19
BCHBitcoin CashBitcoin Cash128.87127.5507-1.02%112.05-13.05%0.0312✗1.184.4M2022-09-19
JUVJuventus Fan TokenSolana5.335.2765-1.00%5.15-3.38%0.0638✗0.642.0M2022-09-19
XVSVenusEthereum4.984.9301-1.00%4.59-7.83%0.0468✗0.87839k2022-09-19
DASHDashDash47.1746.702-0.99%40.74-13.63%0.0097✓1.07312k2022-09-19
STEEMSteemnative0.23550.233175-0.99%0.2188-7.09%0.0556✗0.87527k2022-09-19
XEMNEMnative0.0467110.04625-0.99%0.040881-12.48%0.0014✓0.8928k2022-09-19
SHIBShiba InuEthereum0.000012880.000012754-0.97%0.00001097-14.83%0.0123✓1.011.0M2022-09-19
DNTdistrict0xEthereum0.04930.048821-0.97%0.0432-12.37%0.0061✓0.85145k2022-09-19
BFCBifrostEthereum0.071990.071294-0.97%0.06261-13.03%0.0069✓1.0025k2022-09-19
AAVEAaveEthereum90.9990.111-0.97%76.38-16.06%0.0437✗1.536.0M2022-09-19
DKAdKargoEthereum0.047470.047018-0.95%0.04122-13.17%0.0429✓0.6514k2022-09-19
UMAUMAEthereum2.7562.7298-0.95%2.425-12.01%0.0048✓0.83523k2022-09-19
OMGOMG NetworkEthereum1.9621.9439-0.93%1.7159-12.55%0.0287✗1.1223k2022-09-19
WBTCWrapped BitcoinEthereum22,320.8022,120.92-0.90%19,581.40-12.27%0.0036✓0.9213k2022-09-19
TLMAlien WorldsEthereum0.024880.024661-0.88%0.02205-11.37%0.0359✗1.082,9582022-09-19
ASRAS Roma Fan TokenSolana4.2854.2485-0.85%3.728-13.00%0.0805✓0.372.2M2022-09-19
SCSiacoinnative0.00420.004165-0.84%0.00357-15.00%0.0253✓0.94103k2022-09-19
WOOWOOEthereum0.16420.162813-0.84%0.1389-15.41%0.0205✗1.319132022-09-19
TWTTrust WalletBinance Smart Chain1.00450.996196-0.83%0.9446-5.96%0.0247✗0.572.6M2022-09-19
CVCCivicEthereum0.15180.15056-0.82%0.1312-13.57%0.0012✓1.00119k2022-09-19
PHAPHALAEthereum0.10130.100478-0.81%0.0949-6.32%0.0469✗0.762,7302022-09-19
CELLCellframeEthereum0.29760.295193-0.81%0.2802-5.85%0.0955✗1.0874k2022-09-19
SUNSun TokenTron0.0063560.006306-0.78%0.005618-11.61%0.0283✓0.641,9622022-09-19
CBKCobakEthereum0.854280.847752-0.76%0.77846-8.88%0.0226✗0.7913k2022-09-19
LSKLiskEthereum1.0911.083-0.73%0.962594-11.77%0.0126✓0.7736k2022-09-19
ORBSOrbsEthereum0.040.039708-0.73%0.03487-12.83%0.0346✓0.702,2982022-09-19
BCHSVBitcoin Cash SV54.60954.22-0.71%49.657-9.07%0.0331✗0.88264k2022-09-19
TRACOriginTrailEthereum0.20630.20485-0.70%0.1842-10.71%0.0425✗1.09135k2022-09-19
STORJStorjEthereum0.5630.559113-0.69%0.47873-14.97%0.0276✗1.3439k2022-09-19
BATBasic AttentionEthereum0.354360.351937-0.68%0.30629-13.57%0.0085✗1.0833k2022-09-19
FETArtificial Superintelligence AllianceEthereum0.09150.090884-0.67%0.0828-9.51%0.0413✗0.9814k2022-09-19
COTICOTIEthereum0.10270.102016-0.67%0.0944-8.08%0.0611✗1.01336k2022-09-19
NANOnanopayBase0.9142160.908487-0.63%0.816606-10.68%0.0109✗0.8649k2022-09-19
BTCBitcoinBitcoin22,402.7122,266.97-0.61%19,540.38-12.78%0.0061✓1.00480.9M2022-09-19
TRXTRONTron0.0638830.063527-0.56%0.060295-5.62%0.0115✗0.47123k2022-09-19
AIOZAIOZ NetworkEthereum0.060.059724-0.46%0.0547-8.83%0.0280✗0.8590k2022-09-19
CHRChromiaEthereum0.18390.183084-0.44%0.1539-16.31%0.0164✓1.151,7442022-09-19
IDEXIDEXEthereum0.069150.068852-0.43%0.06161-10.90%0.0163✗0.938202022-09-19
GTGateEthereum4.38394.3652-0.43%4.2119-3.92%0.0654✗0.74688k2022-09-19
ARPAARPAEthereum0.03970.039541-0.40%0.034-14.36%0.0119✓1.0289k2022-09-19
BTTBitTorrentEthereum9.10e-79.07e-7-0.33%8.10e-7-10.99%0.0115✓0.7415k2022-09-19
SUPERSuperVerseEthereum0.142110.141804-0.22%0.12606-11.29%0.0477✗1.21151k2022-09-19
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.