8=======>

2022-09-12 · +7d

beta_5y · 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
+0.0924
191 of 191 tokens assessed
long-short decile
+8.72%
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
BRISEBitgertEthereum7.49e-77.11e-7-5.09%5.57e-7-25.56%0.1239✓0.872.3M2022-09-19
ROSEOasisBinance Smart Chain0.064740.06164-4.79%0.05812-10.23%0.1118✗1.251.2M2022-09-19
DYDXdYdXCosmos1.5631.4913-4.59%1.258-19.51%0.0026✓1.2343k2022-09-19
METISMetisEthereum29.9328.6389-4.31%24.04-19.68%0.0525✗1.66159k2022-09-19
FILFilecoinFilecoin6.5566.2827-4.17%5.478-16.44%0.0046✓0.976.2M2022-09-19
SANTOSSantos FC Fan TokenBinance Smart Chain12.3411.9263-3.35%12.487+1.19%0.0972✗0.3816.0M2022-09-19
LAZIOLazio Fan TokenBinance Smart Chain7.66047.4228-3.10%5.92-22.72%0.1920✓0.2511.9M2022-09-19
GTCGitcoinEthereum2.192.1247-2.98%1.88-14.16%0.0518✗1.27227k2022-09-19
GLMGolemEthereum0.40930.397425-2.90%0.2908-28.95%0.2012✓0.8189k2022-09-19
LUNATerraTerra 20.00030.000291297-2.90%0.00031125+3.75%0.1031✗0.272.3M2022-09-19
FLOWFlownative2.1022.0422-2.85%1.696-19.31%0.0081✓1.42967k2022-09-19
ETCEthereum Classicnative38.4537.3591-2.84%30.44-20.83%0.0105✓1.5810.6M2022-09-19
POKTPocket NetworkEthereum0.11440.111174-2.82%0.0903-21.07%0.1261✓0.60188k2022-09-19
AUCTIONBounceEthereum7.427.2182-2.72%6.52-12.13%0.0481✗1.10224k2022-09-19
EWTEnergy Web TokenEthereum4.5244.4042-2.65%4.135-8.60%0.0657✗0.94273k2022-09-19
AERGOAergo [OLD]Ethereum0.21640.210687-2.64%0.1327-38.68%0.3599✓0.7526k2022-09-19
MASKMask NetworkEthereum1.411.3729-2.63%1.19-15.60%0.0020✓1.0668k2022-09-19
CTKShentuOsmosis1.010.984658-2.51%0.893-11.58%0.0419✓0.412.7M2022-09-19
IMXImmutableEthereum0.86380.842378-2.48%0.7721-10.62%0.0735✗1.17946k2022-09-19
PORTOFC PortoBinance Smart Chain7.00496.8312-2.48%5.54-20.91%0.1958✓0.109.1M2022-09-19
LRCLoopringEthereum0.35140.342974-2.40%0.3113-11.41%0.0632✗1.1772k2022-09-19
AXSAxie InfinityEthereum14.2213.8884-2.33%12.27-13.71%0.0382✗1.19925k2022-09-19
MINAMina Protocolnative0.670.654396-2.33%0.598-10.75%0.0555✗1.07111k2022-09-19
NMRNumeraireEthereum18.2317.8131-2.29%15.52-14.87%0.0649✓0.53396k2022-09-19
PORPortugal National Team Fan TokenSolana4.8634.7521-2.28%5.2403+7.76%0.3019✗1.49122k2022-09-19
CHZChilizEthereum0.20140.196834-2.27%0.2531+25.67%0.3860✗0.983.2M2022-09-19
ORCAOrcaSolana0.89480.87516-2.19%0.8509-4.91%0.1861✗1.5789k2022-09-19
DEXEDeXeEthereum3.2453.1745-2.17%2.975-8.32%0.0140✓0.37676k2022-09-19
YFIyearn.financeEthereum9,751.479,542.36-2.14%8,481.63-13.02%0.0759✗1.424.1M2022-09-19
SPELLSpellEthereum0.0013230.001295-2.14%0.0011-16.90%0.0504✓0.832.2M2022-09-19
RLCiExec RLCEthereum1.39761.3677-2.14%1.1772-15.77%0.0021✓1.08922k2022-09-19
BOBABoba NetworkEthereum0.33460.327556-2.11%0.3026-9.56%0.0631✗1.0482k2022-09-19
XCNOnyxcoinEthereum0.0740.072451-2.09%0.0621-16.08%0.1358✓0.13378k2022-09-19
RUNETHORChainTHORChain1.9351.8965-1.99%1.699-12.20%0.1241✗1.7160k2022-09-19
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.4727-1.97%3.5781-21.58%0.1393✓0.618.1M2022-09-19
ALEPHAleph CloudEthereum0.19160.18783-1.97%0.1112-41.96%0.5052✓0.1483k2022-09-19
BANDBandEthereum1.3521.3254-1.97%1.167-13.68%0.0472✗1.28323k2022-09-19
LCXLCXEthereum0.05160.050588-1.96%0.0498-3.49%0.1154✗0.96234k2022-09-19
GITCOINGITCOIN2.14882.1073-1.93%1.8797-12.52%0.0398✗1.1313k2022-09-19
GRTThe GraphEthereum0.12860.126147-1.91%0.1014-21.15%0.0471✓1.252.5M2022-09-19
RADRadworksEthereum2.462.4134-1.89%2.07-15.85%0.0704✓0.61261k2022-09-19
ZRX0x ProtocolEthereum0.320430.31439-1.89%0.271513-15.27%0.0119✓0.99471k2022-09-19
ATOMCosmos HubCosmos15.5315.2393-1.87%15.618+0.57%0.1996✗1.2819.6M2022-09-19
GMTGMTEthereum0.74190.728038-1.87%0.6251-15.74%0.0581✗1.54210k2022-09-19
OPTIMOptimism1.2671.2433-1.87%0.955-24.63%0.0322✓1.692.7M2022-09-19
XVGVergenative0.003570.003506-1.80%0.00326-8.68%0.0626✗0.99483k2022-09-19
BICOBiconomyEthereum0.51290.503887-1.76%0.4508-12.11%0.0057✓0.86396k2022-09-19
COMPCompoundEthereum54.7353.7687-1.76%52.16-4.70%0.1435✗1.278,6412022-09-19
CTSICartesiEthereum0.15470.152014-1.74%0.1384-10.54%0.0445✗1.01336k2022-09-19
CRVCurve DAOEthereum1.1431.1232-1.73%0.9829-14.01%0.0777✗1.544.4M2022-09-19
ELAElastosEthereum1.6221.5943-1.70%1.485-8.45%0.0293✗0.7329k2022-09-19
RIFRootstock Infrastructure FrameworkEthereum0.06540.064288-1.70%0.0563-13.91%0.0336✗1.22563k2022-09-19
GLMRMoonbeamBase0.5690.55933-1.70%0.473-16.87%0.0111✓1.1466k2022-09-19
CELRCeler NetworkEthereum0.0184890.018178-1.68%0.0155-16.17%0.0227✓1.009912022-09-19
ANKRAnkr NetworkEthereum0.03730.036674-1.68%0.03126-16.19%0.0148✓1.0635k2022-09-19
BORABORAKlay Token0.29430.289455-1.65%0.25224-14.29%0.0141✓0.9015k2022-09-19
JUVJuventus Fan TokenSolana5.335.2431-1.63%5.15-3.38%0.0702✗0.642.0M2022-09-19
ALICEMy Neighbor AliceEthereum2.1712.1357-1.63%1.845-15.02%0.0278✗1.2732k2022-09-19
SKLSKALEEthereum0.04920.048406-1.61%0.0393-20.12%0.0477✓1.18546k2022-09-19
NEARNEAR ProtocolNEAR5.0935.0118-1.59%4.057-20.34%0.0747✓1.001.4M2022-09-19
BTTCBTTC9.00e-78.86e-7-1.59%8.00e-7-11.11%0.0008✓0.741.7M2022-09-19
MTLMetal DAOMetal L21.2791.2588-1.58%1.092-14.62%0.0146✓0.931.1M2022-09-19
OGNOrigin TokenEthereum0.177310.174551-1.56%0.145-18.22%0.0378✓1.08271k2022-09-19
PEOPLEConstitutionDAOEthereum0.02280.022451-1.53%0.0223-2.19%0.1389✗1.0710.3M2022-09-19
OGOG Fan TokenSolana5.9485.8575-1.52%5.296-10.96%0.0130✓0.643.1M2022-09-19
LINKChainlinkEthereum7.7587.6405-1.51%7.3-5.90%0.1094✗1.1318.0M2022-09-19
DOTPolkadotPolkadot7.6647.5495-1.49%6.385-16.69%0.0079✓1.1710.0M2022-09-19
AVAXAvalancheAvalanche21.3721.0513-1.49%17.28-19.14%0.0093✓1.3818.0M2022-09-19
XECeCashnative0.000045970.000045292-1.47%0.0000394-14.29%0.0190✓0.883.0M2022-09-19
UOSUltraEthereum0.440280.433792-1.47%0.4068-7.60%0.0700✗0.98379k2022-09-19
XYOXYO NetworkEthereum0.008330.008209-1.46%0.0074-11.16%0.0570✗1.18428k2022-09-19
APEApeCoinEthereum5.4925.4135-1.43%5.865+6.79%0.2712✗1.406.4M2022-09-19
LPTLivepeerEthereum11.0210.8627-1.43%9.08-17.60%0.0046✓1.34288k2022-09-19
XVSVenusEthereum4.984.91-1.41%4.59-7.83%0.0509✗0.87839k2022-09-19
CELLCellframeEthereum0.29760.293431-1.40%0.2802-5.85%0.1015✗1.0874k2022-09-19
ENSEthereum Name ServiceEthereum15.1214.9104-1.39%13.68-9.52%0.0507✗1.001.8M2022-09-19
SUSHISushiEthereum1.26951.252-1.38%1.0665-15.99%0.0043✓1.141.1M2022-09-19
OMGOMG NetworkEthereum1.9621.9353-1.36%1.7159-12.55%0.0331✗1.1223k2022-09-19
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,593.49-1.34%1,331.44-17.57%0.0430✓1.003.3M2022-09-19
PONDMarlinEthereum0.0120040.011845-1.33%0.011007-8.31%0.0634✗1.006492022-09-19
SOLSolanaSolana37.4636.9636-1.33%32.65-12.84%0.0431✗1.2254.5M2022-09-19
JASMYJasmyCoinEthereum0.009050.00893-1.32%0.00746-17.57%0.0509✓0.943.3M2022-09-19
ICPInternet ComputerEthereum6.9266.835-1.31%6.057-12.55%0.0157✗1.004.3M2022-09-19
FIDABonfidaSolana0.4810.474716-1.31%0.437-9.15%0.0598✗1.047,9852022-09-19
SUPERSuperVerseEthereum0.142110.140254-1.31%0.12606-11.29%0.0587✗1.21151k2022-09-19
SANDThe SandboxEthereum0.95910.946684-1.29%0.8565-10.70%0.0729✗1.27899k2022-09-19
AMPAmpEthereum0.006210.006132-1.25%0.00502-19.16%0.1134✓0.63911k2022-09-19
RARESuperRareEthereum0.20530.202733-1.25%0.1786-13.01%0.0266✗1.12108k2022-09-19
KCSKuCoinnative9.7159.5936-1.25%9.098-6.35%0.0649✗0.861.2M2022-09-19
ALGOAlgorandAlgorand0.32370.319664-1.25%0.3172-2.01%0.1266✗0.986.0M2022-09-19
FISStafiEthereum0.36270.358193-1.24%0.3044-16.07%0.0184✓1.061,1592022-09-19
VSYSV.SYSTEMSnative0.0016510.00163-1.24%0.001428-13.51%0.0398✓0.685,8832022-09-19
STXStacksnative0.38790.383092-1.24%0.3301-14.90%0.0027✓1.07314k2022-09-19
TRBTellor TributesEthereum16.5816.3757-1.23%14.77-10.92%0.0036✓0.781.5M2022-09-19
GALAGALAEthereum0.05130.050671-1.23%0.0433-15.59%0.0019✓1.16178k2022-09-19
PSGParis Saint-Germain Fan TokenSolana8.958.8406-1.22%8-10.61%0.0193✓0.592.4M2022-09-19
WOOWOOEthereum0.16420.16221-1.21%0.1389-15.41%0.0242✗1.319132022-09-19
SWFTCSWFTCOINEthereum0.0016260.001606-1.21%0.001532-5.78%0.0601✗0.79374k2022-09-19
MANADecentralandEthereum0.794220.784625-1.21%0.72902-8.21%0.0808✗1.13624k2022-09-19
BARFC Barcelona Fan TokenSolana6.386.303-1.21%5.75-9.87%0.0201✓0.522.1M2022-09-19
LSKLiskEthereum1.0911.0779-1.21%0.962594-11.77%0.0078✓0.7736k2022-09-19
ACMAC Milan Fan TokenSolana4.2384.1871-1.20%3.746-11.61%0.0400✓0.522.3M2022-09-19
ATMAtletico Madrid Fan TokenSolana4.554.4955-1.20%4.26-6.37%0.0293✗0.611.4M2022-09-19
ASTRAstarEthereum0.03990.039422-1.20%0.0357-10.53%0.0222✗0.899,1922022-09-19
UNIUniswapEthereum6.6596.5807-1.18%5.479-17.72%0.0088✓1.406.9M2022-09-19
SNXSynthetixEthereum2.9432.9085-1.17%2.506-14.85%0.0631✗1.552.9M2022-09-19
OXTOrchid ProtocolEthereum0.11410.112765-1.17%0.1003-12.09%0.0030✓0.88188k2022-09-19
NANOnanopayBase0.9142160.903521-1.17%0.816606-10.68%0.0164✗0.8649k2022-09-19
SCSiacoinnative0.00420.004152-1.15%0.00357-15.00%0.0222✓0.94103k2022-09-19
C98Coin98Ethereum0.44360.438482-1.15%0.3928-11.45%0.0509✗1.1875k2022-09-19
XLMStellarStellar0.1138590.112548-1.15%0.111743-1.86%0.1142✗0.896.5M2022-09-19
CBKCobakEthereum0.854280.844476-1.15%0.77846-8.88%0.0264✗0.7913k2022-09-19
BATBasic AttentionEthereum0.354360.350358-1.13%0.30629-13.57%0.0130✗1.0833k2022-09-19
KNCKyber Network CrystalEthereum1.91231.8907-1.13%1.4112-26.20%0.1769✓0.851.4M2022-09-19
HIGHHighstreetEthereum1.5341.5167-1.13%1.365-11.02%0.0485✗1.1371k2022-09-19
CVCCivicEthereum0.15180.150099-1.12%0.1312-13.57%0.0019✓1.00119k2022-09-19
DASHDashDash47.1746.6428-1.12%40.74-13.63%0.0109✓1.07312k2022-09-19
UMAUMAEthereum2.7562.7252-1.12%2.425-12.01%0.0031✓0.83523k2022-09-19
ZECZcashZcash62.9262.2215-1.11%55.26-12.17%0.0407✗1.171.1M2022-09-19
ENJEnjin CoinEthereum0.5420.536011-1.11%0.485-10.52%0.0667✗1.2277k2022-09-19
XPRXPR NetworkEthereum0.0031060.003072-1.10%0.002524-18.74%0.0716✓0.911.2M2022-09-19
TRACOriginTrailEthereum0.20630.204044-1.09%0.1842-10.71%0.0464✗1.09135k2022-09-19
CWEBCoinwebEthereum0.0240350.023773-1.09%0.027182+13.09%0.1462✗0.09465k2022-09-19
FTTFTXEthereum28.4628.1587-1.06%24.19-15.00%0.0131✓1.026.8M2022-09-19
NEXONEXOEthereum0.970.959767-1.05%0.902-7.01%0.1003✗1.191.5M2022-09-19
BELBella ProtocolEthereum0.6720.664911-1.05%0.572-14.88%0.0050✓1.143.3M2022-09-19
HIVEHivenative0.58020.574228-1.03%0.5271-9.15%0.0013✓0.62836k2022-09-19
COTICOTIEthereum0.10270.101644-1.03%0.0944-8.08%0.0647✗1.01336k2022-09-19
DOGEDogecoinDogecoin0.0639580.063303-1.02%0.05866-8.28%0.0619✗1.011.2M2022-09-19
ETHEthereumEthereum1,716.711,699.41-1.01%1,376.17-19.84%0.0255✓1.36569.9M2022-09-19
XYMSymbolnative0.0426730.042243-1.01%0.039404-7.66%0.0034✓0.5323k2022-09-19
ASRAS Roma Fan TokenSolana4.2854.2422-1.00%3.728-13.00%0.0790✓0.372.2M2022-09-19
QNTQuantEthereum106.65105.5857-1.00%107.75+1.03%0.1480✗0.933.5M2022-09-19
KSMKusamaHydration52.2151.6924-0.99%40.04-23.31%0.1149✓1.03363k2022-09-19
STORJStorjEthereum0.5630.557422-0.99%0.47873-14.97%0.0306✗1.3439k2022-09-19
POWRPowerledgerEthereum0.23460.232277-0.99%0.1992-15.09%0.0310✓0.9057k2022-09-19
ZENHorizenBase16.4816.3203-0.97%13.84-16.02%0.0064✓1.2579k2022-09-19
ORBSOrbsEthereum0.040.039624-0.94%0.03487-12.83%0.0325✓0.702,2982022-09-19
MOVRMoonriverBase12.66512.5471-0.93%11.4637-9.49%0.0491✗1.0221k2022-09-19
XTZTezosTezos1.65651.6412-0.92%1.4887-10.13%0.0473✗1.06241k2022-09-19
API3Api3Ethereum1.8031.7865-0.92%1.496-17.03%0.0385✓1.02627k2022-09-19
XMRMoneroMonero163.77162.2811-0.91%140.37-14.29%0.0129✓0.971.4M2022-09-19
SHIBShiba InuEthereum0.000012880.000012763-0.91%0.00001097-14.83%0.0130✓1.011.0M2022-09-19
CERECere NetworkEthereum0.0062340.006178-0.90%0.006367+2.13%0.0808✗0.3730k2022-09-19
BCHBitcoin CashBitcoin Cash128.87127.7231-0.89%112.05-13.05%0.0299✗1.184.4M2022-09-19
DUSKDUSKEthereum0.13470.133532-0.87%0.1151-14.55%0.0004✓1.082.7M2022-09-19
LEOLEO TokenEthereum5.04525.0017-0.86%4.6593-7.65%0.0622✓0.06119k2022-09-19
PROPropyEthereum0.730.724061-0.81%0.66-9.59%0.0598✓0.2444k2022-09-19
ACHAlchemy PayEthereum0.0131540.013047-0.81%0.011897-9.56%0.0220✗0.84882k2022-09-19
LTCLitecoinLitecoin61.4160.9181-0.80%52.89-13.87%0.0013✓1.0414.0M2022-09-19
TKOTokocryptoBinance Smart Chain0.2750.272803-0.80%0.256-6.91%0.0418✗0.77563k2022-09-19
CITYManchester City Fan TokenSolana6.716.6571-0.79%6.05-9.84%0.0282✓0.492.1M2022-09-19
AIOZAIOZ NetworkEthereum0.060.059528-0.79%0.0547-8.83%0.0313✗0.8590k2022-09-19
CHRChromiaEthereum0.18390.182455-0.79%0.1539-16.31%0.0130✓1.151,7442022-09-19
QTUMQtumQtum3.29333.2676-0.78%2.9221-11.27%0.0302✗1.0419k2022-09-19
BTCBitcoinBitcoin22,402.7122,228.69-0.78%19,540.38-12.78%0.0078✓1.00480.9M2022-09-19
AVTAventusEthereum1.431.419-0.77%1.44+0.70%0.0041✓-0.14124k2022-09-19
DIADIAEthereum0.399770.396729-0.76%0.38968-2.52%0.1205✗1.0131k2022-09-19
ADACardanoCardano0.50140.497625-0.75%0.4526-9.73%0.0426✗1.0138.3M2022-09-19
XEMNEMnative0.0467110.04636-0.75%0.040881-12.48%0.0038✓0.8928k2022-09-19
PHAPHALAEthereum0.10130.100545-0.75%0.0949-6.32%0.0462✗0.762,7302022-09-19
IOTAIOTAIOTA0.29170.289531-0.74%0.2595-11.04%0.0292✗1.022.7M2022-09-19
GTGateEthereum4.38394.3518-0.73%4.2119-3.92%0.0685✗0.74688k2022-09-19
STEEMSteemnative0.23550.233782-0.73%0.2188-7.09%0.0530✗0.87527k2022-09-19
DNTdistrict0xEthereum0.04930.048941-0.73%0.0432-12.37%0.0085✓0.85145k2022-09-19
AGLDAdventure GoldEthereum0.4080.405048-0.72%0.3256-20.20%0.0696✓1.09202k2022-09-19
SUNSun TokenTron0.0063560.00631-0.72%0.005618-11.61%0.0289✓0.641,9622022-09-19
ARPAARPAEthereum0.03970.039421-0.70%0.034-14.36%0.0088✓1.0289k2022-09-19
MEDMediblocOsmosis0.0220180.021868-0.68%0.020248-8.04%0.0077✗0.6212k2022-09-19
DODODODOEthereum0.13190.131006-0.68%0.1251-5.16%0.1149✗1.181.4M2022-09-19
BTTBitTorrentEthereum9.10e-79.04e-7-0.67%8.10e-7-10.99%0.0080✓0.7415k2022-09-19
BNTBancor NetworkEthereum0.49480.491494-0.67%0.4467-9.72%0.0625✗1.16384k2022-09-19
AAVEAaveEthereum90.9990.3845-0.67%76.38-16.06%0.0407✗1.536.0M2022-09-19
BCHSVBitcoin Cash SV54.60954.2501-0.66%49.657-9.07%0.0325✗0.88264k2022-09-19
IDEXIDEXEthereum0.069150.068703-0.65%0.06161-10.90%0.0184✗0.938202022-09-19
TWTTrust WalletBinance Smart Chain1.00450.998144-0.63%0.9446-5.96%0.0228✗0.572.6M2022-09-19
INDEXThe IndexRobinhood1.841.8285-0.62%2.28+23.91%0.2848✗0.4758k2022-09-19
ASMAssemble AIEthereum0.021020.020896-0.59%0.01974-6.09%0.0259✗0.61191k2022-09-19
FORTFortaEthereum0.22570.224383-0.58%0.1798-20.34%0.1177✓0.7667k2022-09-19
NAKANakamoto GamesPolygon0.06670.066319-0.57%0.0609-8.70%0.0580✗1.0579k2022-09-19
1INCH1INCHEthereum0.6480.644964-0.47%0.596-8.02%0.0608✗1.02178k2022-09-19
WBTCWrapped BitcoinEthereum22,320.8022,220.51-0.45%19,581.40-12.27%0.0009✓0.9213k2022-09-19
YGGYield Guild GamesEthereum0.4830.480979-0.42%0.391-19.05%0.0416✓1.214,2692022-09-19
ADXheyAuraEthereum0.172560.171856-0.41%0.15899-7.86%0.0263✗0.765152022-09-19
BFCBifrostEthereum0.071990.071719-0.38%0.06261-13.03%0.0009✓1.0025k2022-09-19
NCTPolySwarmEthereum0.012940.012895-0.35%0.01128-12.83%0.0443✓0.65233k2022-09-19
GODSGods UnchainedEthereum0.316230.315141-0.34%0.38357+21.29%0.2911✗0.69326k2022-09-19
FETArtificial Superintelligence AllianceEthereum0.09150.091194-0.33%0.0828-9.51%0.0379✗0.9814k2022-09-19
TRXTRONTron0.0638830.063746-0.21%0.060295-5.62%0.0081✗0.47123k2022-09-19
DKAdKargoEthereum0.047470.047407-0.13%0.04122-13.17%0.0511✓0.6514k2022-09-19
TLMAlien WorldsEthereum0.024880.024877-0.01%0.02205-11.37%0.0272✗1.082,9582022-09-19
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.