8=======>

2022-09-12 · +7d

lstm_s6 · 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
+0.1622
191 of 191 tokens assessed
long-short decile
+12.77%
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
AAVEAaveEthereum90.9990.7698-0.24%76.38-16.06%0.0364✗1.536.0M2022-09-19
DOGEDogecoinDogecoin0.0639580.063802-0.24%0.05866-8.28%0.0540✗1.011.2M2022-09-19
IDEXIDEXEthereum0.069150.068885-0.38%0.06161-10.90%0.0158✗0.938202022-09-19
YGGYield Guild GamesEthereum0.4830.480506-0.52%0.391-19.05%0.0406✓1.214,2692022-09-19
WBTCWrapped BitcoinEthereum22,320.8022,205.33-0.52%19,581.40-12.27%0.0002✓0.9213k2022-09-19
ADXheyAuraEthereum0.172560.171551-0.58%0.15899-7.86%0.0281✗0.765152022-09-19
BFCBifrostEthereum0.071990.071563-0.59%0.06261-13.03%0.0031✓1.0025k2022-09-19
TRACOriginTrailEthereum0.20630.204969-0.64%0.1842-10.71%0.0419✗1.09135k2022-09-19
STORJStorjEthereum0.5630.558389-0.82%0.47873-14.97%0.0289✗1.3439k2022-09-19
TRBTellor TributesEthereum16.5816.4424-0.83%14.77-10.92%0.0005✓0.781.5M2022-09-19
CBKCobakEthereum0.854280.84708-0.84%0.77846-8.88%0.0233✗0.7913k2022-09-19
AVTAventusEthereum1.431.4167-0.93%1.44+0.70%0.0024✓-0.14124k2022-09-19
PHAPHALAEthereum0.10130.10035-0.94%0.0949-6.32%0.0482✗0.762,7302022-09-19
BELBella ProtocolEthereum0.6720.665556-0.96%0.572-14.88%0.0041✓1.143.3M2022-09-19
TWTTrust WalletBinance Smart Chain1.00450.994629-0.98%0.9446-5.96%0.0263✗0.572.6M2022-09-19
NCTPolySwarmEthereum0.012940.012812-0.99%0.01128-12.83%0.0379✓0.65233k2022-09-19
XLMStellarStellar0.1138590.112731-0.99%0.111743-1.86%0.1126✗0.896.5M2022-09-19
INDEXThe IndexRobinhood1.841.8216-1.00%2.28+23.91%0.2886✗0.4758k2022-09-19
BCHSVBitcoin Cash SV54.60954.0623-1.00%49.657-9.07%0.0360✗0.88264k2022-09-19
ORBSOrbsEthereum0.040.039588-1.03%0.03487-12.83%0.0316✓0.702,2982022-09-19
XYMSymbolnative0.0426730.042234-1.03%0.039404-7.66%0.0036✓0.5323k2022-09-19
AIOZAIOZ NetworkEthereum0.060.05938-1.03%0.0547-8.83%0.0338✗0.8590k2022-09-19
XVSVenusEthereum4.984.9263-1.08%4.59-7.83%0.0476✗0.87839k2022-09-19
BCHBitcoin CashBitcoin Cash128.87127.4797-1.08%112.05-13.05%0.0318✗1.184.4M2022-09-19
IOTAIOTAIOTA0.29170.288453-1.11%0.2595-11.04%0.0330✗1.022.7M2022-09-19
QNTQuantEthereum106.65105.4237-1.15%107.75+1.03%0.1496✗0.933.5M2022-09-19
FETArtificial Superintelligence AllianceEthereum0.09150.090397-1.21%0.0828-9.51%0.0467✗0.9814k2022-09-19
DIADIAEthereum0.399770.394881-1.22%0.38968-2.52%0.1252✗1.0131k2022-09-19
TLMAlien WorldsEthereum0.024880.024575-1.23%0.02205-11.37%0.0394✗1.082,9582022-09-19
CHRChromiaEthereum0.18390.181639-1.23%0.1539-16.31%0.0085✓1.151,7442022-09-19
BOBABoba NetworkEthereum0.33460.330468-1.23%0.3026-9.56%0.0542✗1.0482k2022-09-19
VSYSV.SYSTEMSnative0.0016510.00163-1.25%0.001428-13.51%0.0398✓0.685,8832022-09-19
OMGOMG NetworkEthereum1.9621.937-1.28%1.7159-12.55%0.0323✗1.1223k2022-09-19
TRXTRONTron0.0638830.063055-1.30%0.060295-5.62%0.0190✗0.47123k2022-09-19
GTGateEthereum4.38394.327-1.30%4.2119-3.92%0.0742✗0.74688k2022-09-19
SUNSun TokenTron0.0063560.006273-1.30%0.005618-11.61%0.0230✓0.641,9622022-09-19
BNTBancor NetworkEthereum0.49480.488249-1.32%0.4467-9.72%0.0692✗1.16384k2022-09-19
KCSKuCoinnative9.7159.5862-1.33%9.098-6.35%0.0657✗0.861.2M2022-09-19
LCXLCXEthereum0.05160.05091-1.34%0.0498-3.49%0.1091✗0.96234k2022-09-19
UMAUMAEthereum2.7562.7188-1.35%2.425-12.01%0.0008✓0.83523k2022-09-19
LPTLivepeerEthereum11.0210.871-1.35%9.08-17.60%0.0038✓1.34288k2022-09-19
RARESuperRareEthereum0.20530.20245-1.39%0.1786-13.01%0.0280✗1.12108k2022-09-19
DNTdistrict0xEthereum0.04930.048614-1.39%0.0432-12.37%0.0018✓0.85145k2022-09-19
ETHEthereumEthereum1,716.711,692.79-1.39%1,376.17-19.84%0.0216✓1.36569.9M2022-09-19
ACHAlchemy PayEthereum0.0131540.01297-1.40%0.011897-9.56%0.0280✗0.84882k2022-09-19
BTTBitTorrentEthereum9.10e-78.97e-7-1.43%8.10e-7-10.99%0.0004✓0.7415k2022-09-19
XEMNEMnative0.0467110.046035-1.45%0.040881-12.48%0.0033✓0.8928k2022-09-19
ADACardanoCardano0.50140.494115-1.45%0.4526-9.73%0.0497✗1.0138.3M2022-09-19
ASTRAstarEthereum0.03990.039318-1.46%0.0357-10.53%0.0249✗0.899,1922022-09-19
ARPAARPAEthereum0.03970.039119-1.46%0.034-14.36%0.0011✓1.0289k2022-09-19
ICPInternet ComputerEthereum6.9266.8242-1.47%6.057-12.55%0.0173✗1.004.3M2022-09-19
DODODODOEthereum0.13190.129951-1.48%0.1251-5.16%0.1230✗1.181.4M2022-09-19
NANOnanopayBase0.9142160.900665-1.48%0.816606-10.68%0.0195✗0.8649k2022-09-19
XMRMoneroMonero163.77161.332-1.49%140.37-14.29%0.0071✓0.971.4M2022-09-19
AXSAxie InfinityEthereum14.2214.0061-1.50%12.27-13.71%0.0298✗1.19925k2022-09-19
SCSiacoinnative0.00420.004136-1.51%0.00357-15.00%0.0185✓0.94103k2022-09-19
ELAElastosEthereum1.6221.5973-1.52%1.485-8.45%0.0274✗0.7329k2022-09-19
XPRXPR NetworkEthereum0.0031060.003059-1.53%0.002524-18.74%0.0673✓0.911.2M2022-09-19
ALICEMy Neighbor AliceEthereum2.1712.1379-1.53%1.845-15.02%0.0268✗1.2732k2022-09-19
SANDThe SandboxEthereum0.95910.944449-1.53%0.8565-10.70%0.0752✗1.27899k2022-09-19
ASRAS Roma Fan TokenSolana4.2854.2194-1.53%3.728-13.00%0.0737✓0.372.2M2022-09-19
LSKLiskEthereum1.0911.0743-1.53%0.962594-11.77%0.0045✓0.7736k2022-09-19
WOOWOOEthereum0.16420.161674-1.54%0.1389-15.41%0.0275✗1.319132022-09-19
AGLDAdventure GoldEthereum0.4080.401717-1.54%0.3256-20.20%0.0614✓1.09202k2022-09-19
DASHDashDash47.1746.4434-1.54%40.74-13.63%0.0152✓1.07312k2022-09-19
ATMAtletico Madrid Fan TokenSolana4.554.4787-1.57%4.26-6.37%0.0331✗0.611.4M2022-09-19
GITCOINGITCOIN2.14882.1151-1.57%1.8797-12.52%0.0362✗1.1313k2022-09-19
SUSHISushiEthereum1.26951.2494-1.58%1.0665-15.99%0.0022✓1.141.1M2022-09-19
BATBasic AttentionEthereum0.354360.348706-1.60%0.30629-13.57%0.0177✗1.0833k2022-09-19
MTLMetal DAOMetal L21.2791.2586-1.60%1.092-14.62%0.0144✓0.931.1M2022-09-19
OGOG Fan TokenSolana5.9485.8529-1.60%5.296-10.96%0.0122✓0.643.1M2022-09-19
STEEMSteemnative0.23550.231671-1.63%0.2188-7.09%0.0620✗0.87527k2022-09-19
ASMAssemble AIEthereum0.021020.020677-1.63%0.01974-6.09%0.0364✗0.61191k2022-09-19
POWRPowerledgerEthereum0.23460.230755-1.64%0.1992-15.09%0.0244✓0.9057k2022-09-19
DKAdKargoEthereum0.047470.046692-1.64%0.04122-13.17%0.0359✓0.6514k2022-09-19
SNXSynthetixEthereum2.9432.8947-1.64%2.506-14.85%0.0678✗1.552.9M2022-09-19
GODSGods UnchainedEthereum0.316230.311011-1.65%0.38357+21.29%0.3043✗0.69326k2022-09-19
NEXONEXOEthereum0.970.953936-1.66%0.902-7.01%0.1064✗1.191.5M2022-09-19
MANADecentralandEthereum0.794220.781047-1.66%0.72902-8.21%0.0854✗1.13624k2022-09-19
DUSKDUSKEthereum0.13470.132455-1.67%0.1151-14.55%0.0077✓1.082.7M2022-09-19
BTCBitcoinBitcoin22,402.7122,028.02-1.67%19,540.38-12.78%0.0169✓1.00480.9M2022-09-19
CVCCivicEthereum0.15180.14926-1.67%0.1312-13.57%0.0075✓1.00119k2022-09-19
FTTFTXEthereum28.4627.9821-1.68%24.19-15.00%0.0068✓1.026.8M2022-09-19
MOVRMoonriverBase12.66512.4517-1.68%11.4637-9.49%0.0567✗1.0221k2022-09-19
CERECere NetworkEthereum0.0062340.006129-1.69%0.006367+2.13%0.0888✗0.3730k2022-09-19
ACMAC Milan Fan TokenSolana4.2384.1665-1.69%3.746-11.61%0.0351✓0.522.3M2022-09-19
SKLSKALEEthereum0.04920.048366-1.70%0.0393-20.12%0.0468✓1.18546k2022-09-19
LTCLitecoinLitecoin61.4160.3513-1.72%52.89-13.87%0.0107✓1.0414.0M2022-09-19
CRVCurve DAOEthereum1.1431.1232-1.73%0.9829-14.01%0.0777✗1.544.4M2022-09-19
UNIUniswapEthereum6.6596.5433-1.74%5.479-17.72%0.0145✓1.406.9M2022-09-19
GTCGitcoinEthereum2.192.1519-1.74%1.88-14.16%0.0391✗1.27227k2022-09-19
DOTPolkadotPolkadot7.6647.5299-1.75%6.385-16.69%0.0053✓1.1710.0M2022-09-19
CITYManchester City Fan TokenSolana6.716.5904-1.78%6.05-9.84%0.0181✓0.492.1M2022-09-19
MEDMediblocOsmosis0.0220180.021624-1.79%0.020248-8.04%0.0190✗0.6212k2022-09-19
LINKChainlinkEthereum7.7587.6172-1.81%7.3-5.90%0.1124✗1.1318.0M2022-09-19
RADRadworksEthereum2.462.4153-1.82%2.07-15.85%0.0711✓0.61261k2022-09-19
PEOPLEConstitutionDAOEthereum0.02280.022381-1.84%0.0223-2.19%0.1420✗1.0710.3M2022-09-19
CELRCeler NetworkEthereum0.0184890.018148-1.85%0.0155-16.17%0.0210✓1.009912022-09-19
JASMYJasmyCoinEthereum0.009050.008882-1.85%0.00746-17.57%0.0455✓0.943.3M2022-09-19
CHZChilizEthereum0.20140.197635-1.87%0.2531+25.67%0.3819✗0.983.2M2022-09-19
SWFTCSWFTCOINEthereum0.0016260.001595-1.88%0.001532-5.78%0.0669✗0.79374k2022-09-19
SOLSolanaSolana37.4636.7558-1.88%32.65-12.84%0.0488✗1.2254.5M2022-09-19
FIDABonfidaSolana0.4810.471949-1.88%0.437-9.15%0.0657✗1.047,9852022-09-19
API3Api3Ethereum1.8031.769-1.88%1.496-17.03%0.0287✓1.02627k2022-09-19
LEOLEO TokenEthereum5.04524.9501-1.89%4.6593-7.65%0.0518✓0.06119k2022-09-19
FISStafiEthereum0.36270.355708-1.93%0.3044-16.07%0.0114✓1.061,1592022-09-19
SHIBShiba InuEthereum0.000012880.000012631-1.93%0.00001097-14.83%0.0026✓1.011.0M2022-09-19
ANKRAnkr NetworkEthereum0.03730.036578-1.94%0.03126-16.19%0.0122✓1.0635k2022-09-19
C98Coin98Ethereum0.44360.434865-1.97%0.3928-11.45%0.0592✗1.1875k2022-09-19
KSMKusamaHydration52.2151.1806-1.97%40.04-23.31%0.1049✓1.03363k2022-09-19
KNCKyber Network CrystalEthereum1.91231.8745-1.98%1.4112-26.20%0.1682✓0.851.4M2022-09-19
GMTGMTEthereum0.74190.727206-1.98%0.6251-15.74%0.0592✗1.54210k2022-09-19
ZECZcashZcash62.9261.6673-1.99%55.26-12.17%0.0496✗1.171.1M2022-09-19
UOSUltraEthereum0.440280.431505-1.99%0.4068-7.60%0.0752✗0.98379k2022-09-19
APEApeCoinEthereum5.4925.382-2.00%5.865+6.79%0.2770✗1.406.4M2022-09-19
ENJEnjin CoinEthereum0.5420.530994-2.03%0.485-10.52%0.0761✗1.2277k2022-09-19
ZENHorizenBase16.4816.1453-2.03%13.84-16.02%0.0171✓1.2579k2022-09-19
FORTFortaEthereum0.22570.221077-2.05%0.1798-20.34%0.1029✓0.7667k2022-09-19
BARFC Barcelona Fan TokenSolana6.386.2482-2.07%5.75-9.87%0.0114✓0.522.1M2022-09-19
RUNETHORChainTHORChain1.9351.8947-2.08%1.699-12.20%0.1251✗1.7160k2022-09-19
QTUMQtumQtum3.29333.2245-2.09%2.9221-11.27%0.0435✗1.0419k2022-09-19
BANDBandEthereum1.3521.3237-2.09%1.167-13.68%0.0485✗1.28323k2022-09-19
SUPERSuperVerseEthereum0.142110.139132-2.10%0.12606-11.29%0.0667✗1.21151k2022-09-19
GLMRMoonbeamBase0.5690.557038-2.10%0.473-16.87%0.0070✓1.1466k2022-09-19
COTICOTIEthereum0.10270.100536-2.11%0.0944-8.08%0.0757✗1.01336k2022-09-19
NAKANakamoto GamesPolygon0.06670.065292-2.11%0.0609-8.70%0.0737✗1.0579k2022-09-19
JUVJuventus Fan TokenSolana5.335.2173-2.11%5.15-3.38%0.0751✗0.642.0M2022-09-19
COMPCompoundEthereum54.7353.5591-2.14%52.16-4.70%0.1474✗1.278,6412022-09-19
PSGParis Saint-Germain Fan TokenSolana8.958.7577-2.15%8-10.61%0.0099✓0.592.4M2022-09-19
AMPAmpEthereum0.006210.006076-2.16%0.00502-19.16%0.1042✓0.63911k2022-09-19
BTTCBTTC9.00e-78.80e-7-2.17%8.00e-7-11.11%0.0051✓0.741.7M2022-09-19
STXStacksnative0.38790.379379-2.20%0.3301-14.90%0.0071✓1.07314k2022-09-19
1INCH1INCHEthereum0.6480.633589-2.22%0.596-8.02%0.0786✗1.02178k2022-09-19
DEXEDeXeEthereum3.2453.1715-2.26%2.975-8.32%0.0131✓0.37676k2022-09-19
PORPortugal National Team Fan TokenSolana4.8634.7511-2.30%5.2403+7.76%0.3021✗1.49122k2022-09-19
GALAGALAEthereum0.05130.050118-2.31%0.0433-15.59%0.0128✓1.16178k2022-09-19
XYOXYO NetworkEthereum0.008330.008138-2.31%0.0074-11.16%0.0657✗1.18428k2022-09-19
TKOTokocryptoBinance Smart Chain0.2750.26849-2.37%0.256-6.91%0.0578✗0.77563k2022-09-19
XECeCashnative0.000045970.00004487-2.39%0.0000394-14.29%0.0096✓0.883.0M2022-09-19
CWEBCoinwebEthereum0.0240350.02346-2.39%0.027182+13.09%0.1595✗0.09465k2022-09-19
HIVEHivenative0.58020.566283-2.40%0.5271-9.15%0.0126✓0.62836k2022-09-19
EWTEnergy Web TokenEthereum4.5244.4133-2.45%4.135-8.60%0.0636✗0.94273k2022-09-19
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.4508-2.45%3.5781-21.58%0.1344✓0.618.1M2022-09-19
OXTOrchid ProtocolEthereum0.11410.11129-2.46%0.1003-12.09%0.0162✓0.88188k2022-09-19
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,574.94-2.49%1,331.44-17.57%0.0313✓1.003.3M2022-09-19
ETCEthereum Classicnative38.4537.4854-2.51%30.44-20.83%0.0071✓1.5810.6M2022-09-19
DYDXdYdXCosmos1.5631.5236-2.52%1.258-19.51%0.0241✓1.2343k2022-09-19
XVGVergenative0.003570.00348-2.52%0.00326-8.68%0.0700✗0.99483k2022-09-19
RLCiExec RLCEthereum1.39761.3623-2.53%1.1772-15.77%0.0019✓1.08922k2022-09-19
SPELLSpellEthereum0.0013230.00129-2.53%0.0011-16.90%0.0465✓0.832.2M2022-09-19
XCNOnyxcoinEthereum0.0740.072109-2.56%0.0621-16.08%0.1311✓0.13378k2022-09-19
LRCLoopringEthereum0.35140.342415-2.56%0.3113-11.41%0.0648✗1.1772k2022-09-19
MASKMask NetworkEthereum1.411.3736-2.58%1.19-15.60%0.0015✓1.0668k2022-09-19
ENSEthereum Name ServiceEthereum15.1214.7256-2.61%13.68-9.52%0.0632✗1.001.8M2022-09-19
METISMetisEthereum29.9329.1423-2.63%24.04-19.68%0.0351✗1.66159k2022-09-19
IMXImmutableEthereum0.86380.840909-2.65%0.7721-10.62%0.0752✗1.17946k2022-09-19
XTZTezosTezos1.65651.6125-2.65%1.4887-10.13%0.0649✗1.06241k2022-09-19
MINAMina Protocolnative0.670.652072-2.68%0.598-10.75%0.0591✗1.07111k2022-09-19
ATOMCosmos HubCosmos15.5315.1109-2.70%15.618+0.57%0.2081✗1.2819.6M2022-09-19
CTKShentuOsmosis1.010.982734-2.70%0.893-11.58%0.0399✓0.412.7M2022-09-19
YFIyearn.financeEthereum9,751.479,487.24-2.71%8,481.63-13.02%0.0817✗1.424.1M2022-09-19
ALGOAlgorandAlgorand0.32370.314926-2.71%0.3172-2.01%0.1415✗0.986.0M2022-09-19
GRTThe GraphEthereum0.12860.125113-2.71%0.1014-21.15%0.0389✓1.252.5M2022-09-19
CELLCellframeEthereum0.29760.289425-2.75%0.2802-5.85%0.1152✗1.0874k2022-09-19
RIFRootstock Infrastructure FrameworkEthereum0.06540.063597-2.76%0.0563-13.91%0.0444✗1.22563k2022-09-19
AUCTIONBounceEthereum7.427.212-2.80%6.52-12.13%0.0490✗1.10224k2022-09-19
AVAXAvalancheAvalanche21.3720.7703-2.81%17.28-19.14%0.0042✓1.3818.0M2022-09-19
PORTOFC PortoBinance Smart Chain7.00496.8064-2.83%5.54-20.91%0.1922✓0.109.1M2022-09-19
CTSICartesiEthereum0.15470.150285-2.85%0.1384-10.54%0.0559✗1.01336k2022-09-19
OPTIMOptimism1.2671.2306-2.87%0.955-24.63%0.0219✓1.692.7M2022-09-19
ORCAOrcaSolana0.89480.869082-2.87%0.8509-4.91%0.1930✗1.5789k2022-09-19
PONDMarlinEthereum0.0120040.011657-2.89%0.011007-8.31%0.0793✗1.006492022-09-19
NMRNumeraireEthereum18.2317.7021-2.90%15.52-14.87%0.0586✓0.53396k2022-09-19
NEARNEAR ProtocolNEAR5.0934.9443-2.92%4.057-20.34%0.0611✓1.001.4M2022-09-19
BICOBiconomyEthereum0.51290.49787-2.93%0.4508-12.11%0.0177✓0.86396k2022-09-19
BRISEBitgertEthereum7.49e-77.27e-7-2.95%5.57e-7-25.56%0.1461✓0.872.3M2022-09-19
ROSEOasisBinance Smart Chain0.064740.062751-3.07%0.05812-10.23%0.0940✗1.251.2M2022-09-19
BORABORAKlay Token0.29430.285207-3.09%0.25224-14.29%0.0007✓0.9015k2022-09-19
LUNATerraTerra 20.00030.000290601-3.13%0.00031125+3.75%0.1055✗0.272.3M2022-09-19
PROPropyEthereum0.730.707027-3.15%0.66-9.59%0.0360✓0.2444k2022-09-19
ZRX0x ProtocolEthereum0.320430.310075-3.23%0.271513-15.27%0.0019✓0.99471k2022-09-19
POKTPocket NetworkEthereum0.11440.11066-3.27%0.0903-21.07%0.1215✓0.60188k2022-09-19
OGNOrigin TokenEthereum0.177310.171465-3.30%0.145-18.22%0.0199✓1.08271k2022-09-19
HIGHHighstreetEthereum1.5341.4833-3.31%1.365-11.02%0.0708✗1.1371k2022-09-19
FLOWFlownative2.1022.0318-3.34%1.696-19.31%0.0132✓1.42967k2022-09-19
ALEPHAleph CloudEthereum0.19160.185113-3.39%0.1112-41.96%0.4906✓0.1483k2022-09-19
SANTOSSantos FC Fan TokenBinance Smart Chain12.3411.9211-3.39%12.487+1.19%0.0977✗0.3816.0M2022-09-19
FILFilecoinFilecoin6.5566.3295-3.45%5.478-16.44%0.0121✓0.976.2M2022-09-19
LAZIOLazio Fan TokenBinance Smart Chain7.66047.3795-3.67%5.92-22.72%0.1861✓0.2511.9M2022-09-19
AERGOAergo [OLD]Ethereum0.21640.208154-3.81%0.1327-38.68%0.3479✓0.7526k2022-09-19
GLMGolemEthereum0.40930.393346-3.90%0.2908-28.95%0.1909✓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.