8=======>

2022-09-12 · +7d

gru_s5 · 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
+0.1370
191 of 191 tokens assessed
long-short decile
+12.01%
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
GLMGolemEthereum0.40930.383402-6.33%0.2908-28.95%0.1653✓0.8189k2022-09-19
AERGOAergo [OLD]Ethereum0.21640.204429-5.53%0.1327-38.68%0.3298✓0.7526k2022-09-19
FILFilecoinFilecoin6.5566.195-5.51%5.478-16.44%0.0094✓0.976.2M2022-09-19
LUNATerraTerra 20.00030.000285127-4.96%0.00031125+3.75%0.1245✗0.272.3M2022-09-19
ALEPHAleph CloudEthereum0.19160.18276-4.61%0.1112-41.96%0.4778✓0.1483k2022-09-19
FLOWFlownative2.1022.0129-4.24%1.696-19.31%0.0226✓1.42967k2022-09-19
MASKMask NetworkEthereum1.411.3504-4.22%1.19-15.60%0.0185✓1.0668k2022-09-19
BRISEBitgertEthereum7.49e-77.17e-7-4.21%5.57e-7-25.56%0.1332✓0.872.3M2022-09-19
ROSEOasisBinance Smart Chain0.064740.062044-4.16%0.05812-10.23%0.1053✗1.251.2M2022-09-19
LAZIOLazio Fan TokenBinance Smart Chain7.66047.3604-3.92%5.92-22.72%0.1835✓0.2511.9M2022-09-19
SANTOSSantos FC Fan TokenBinance Smart Chain12.3411.8621-3.87%12.487+1.19%0.1026✗0.3816.0M2022-09-19
DYDXdYdXCosmos1.5631.5026-3.87%1.258-19.51%0.0102✓1.2343k2022-09-19
GRTThe GraphEthereum0.12860.123903-3.65%0.1014-21.15%0.0292✓1.252.5M2022-09-19
PONDMarlinEthereum0.0120040.011566-3.65%0.011007-8.31%0.0871✗1.006492022-09-19
METISMetisEthereum29.9328.8441-3.63%24.04-19.68%0.0454✗1.66159k2022-09-19
AXSAxie InfinityEthereum14.2213.7153-3.55%12.27-13.71%0.0508✗1.19925k2022-09-19
EWTEnergy Web TokenEthereum4.5244.3709-3.38%4.135-8.60%0.0733✗0.94273k2022-09-19
MINAMina Protocolnative0.670.647555-3.35%0.598-10.75%0.0660✗1.07111k2022-09-19
GLMRMoonbeamBase0.5690.54994-3.35%0.473-16.87%0.0058✓1.1466k2022-09-19
PORTOFC PortoBinance Smart Chain7.00496.7726-3.32%5.54-20.91%0.1872✓0.109.1M2022-09-19
ETCEthereum Classicnative38.4537.1784-3.31%30.44-20.83%0.0153✓1.5810.6M2022-09-19
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.4132-3.28%3.5781-21.58%0.1259✓0.618.1M2022-09-19
GMTGMTEthereum0.74190.717902-3.23%0.6251-15.74%0.0721✗1.54210k2022-09-19
BORABORAKlay Token0.29430.284796-3.23%0.25224-14.29%0.0021✓0.9015k2022-09-19
GTCGitcoinEthereum2.192.1205-3.17%1.88-14.16%0.0538✗1.27227k2022-09-19
DEXEDeXeEthereum3.2453.1428-3.15%2.975-8.32%0.0040✓0.37676k2022-09-19
NMRNumeraireEthereum18.2317.6562-3.15%15.52-14.87%0.0560✓0.53396k2022-09-19
ASTRAstarEthereum0.03990.038648-3.14%0.0357-10.53%0.0420✗0.899,1922022-09-19
COMPCompoundEthereum54.7353.0413-3.09%52.16-4.70%0.1571✗1.278,6412022-09-19
IMXImmutableEthereum0.86380.837678-3.02%0.7721-10.62%0.0791✗1.17946k2022-09-19
SUSHISushiEthereum1.26951.2334-2.84%1.0665-15.99%0.0107✓1.141.1M2022-09-19
BOBABoba NetworkEthereum0.33460.325163-2.82%0.3026-9.56%0.0704✗1.0482k2022-09-19
GITCOINGITCOIN2.14882.0883-2.81%1.8797-12.52%0.0489✗1.1313k2022-09-19
STXStacksnative0.38790.376997-2.81%0.3301-14.90%0.0134✓1.07314k2022-09-19
XYOXYO NetworkEthereum0.008330.008096-2.81%0.0074-11.16%0.0709✗1.18428k2022-09-19
YFIyearn.financeEthereum9,751.479,479.13-2.79%8,481.63-13.02%0.0826✗1.424.1M2022-09-19
CELRCeler NetworkEthereum0.0184890.017975-2.78%0.0155-16.17%0.0115✓1.009912022-09-19
OGNOrigin TokenEthereum0.177310.172433-2.75%0.145-18.22%0.0255✓1.08271k2022-09-19
HIGHHighstreetEthereum1.5341.492-2.74%1.365-11.02%0.0649✗1.1371k2022-09-19
ZRX0x ProtocolEthereum0.320430.311668-2.73%0.271513-15.27%0.0032✓0.99471k2022-09-19
ATOMCosmos HubCosmos15.5315.1067-2.73%15.618+0.57%0.2084✗1.2819.6M2022-09-19
LRCLoopringEthereum0.35140.341877-2.71%0.3113-11.41%0.0664✗1.1772k2022-09-19
UOSUltraEthereum0.440280.428375-2.70%0.4068-7.60%0.0825✗0.98379k2022-09-19
BICOBiconomyEthereum0.51290.499161-2.68%0.4508-12.11%0.0151✓0.86396k2022-09-19
XECeCashnative0.000045970.00004474-2.67%0.0000394-14.29%0.0067✓0.883.0M2022-09-19
AUCTIONBounceEthereum7.427.2228-2.66%6.52-12.13%0.0475✗1.10224k2022-09-19
ALICEMy Neighbor AliceEthereum2.1712.1133-2.66%1.845-15.02%0.0383✗1.2732k2022-09-19
ENJEnjin CoinEthereum0.5420.527614-2.65%0.485-10.52%0.0825✗1.2277k2022-09-19
XVGVergenative0.003570.003475-2.65%0.00326-8.68%0.0713✗0.99483k2022-09-19
BANDBandEthereum1.3521.3164-2.63%1.167-13.68%0.0540✗1.28323k2022-09-19
PORPortugal National Team Fan TokenSolana4.8634.7361-2.61%5.2403+7.76%0.3052✗1.49122k2022-09-19
RIFRootstock Infrastructure FrameworkEthereum0.06540.063702-2.60%0.0563-13.91%0.0428✗1.22563k2022-09-19
ORCAOrcaSolana0.89480.871568-2.60%0.8509-4.91%0.1902✗1.5789k2022-09-19
APEApeCoinEthereum5.4925.3497-2.59%5.865+6.79%0.2831✗1.406.4M2022-09-19
CTKShentuOsmosis1.010.984083-2.57%0.893-11.58%0.0413✓0.412.7M2022-09-19
CTSICartesiEthereum0.15470.15075-2.55%0.1384-10.54%0.0528✗1.01336k2022-09-19
POKTPocket NetworkEthereum0.11440.111496-2.54%0.0903-21.07%0.1290✓0.60188k2022-09-19
RLCiExec RLCEthereum1.39761.3621-2.54%1.1772-15.77%0.0020✓1.08922k2022-09-19
NEARNEAR ProtocolNEAR5.0934.9661-2.49%4.057-20.34%0.0655✓1.001.4M2022-09-19
WOOWOOEthereum0.16420.160115-2.49%0.1389-15.41%0.0372✗1.319132022-09-19
RADRadworksEthereum2.462.3989-2.48%2.07-15.85%0.0643✓0.61261k2022-09-19
SKLSKALEEthereum0.04920.047985-2.47%0.0393-20.12%0.0389✓1.18546k2022-09-19
PEOPLEConstitutionDAOEthereum0.02280.02224-2.45%0.0223-2.19%0.1484✗1.0710.3M2022-09-19
CELLCellframeEthereum0.29760.29036-2.43%0.2802-5.85%0.1120✗1.0874k2022-09-19
ENSEthereum Name ServiceEthereum15.1214.7541-2.42%13.68-9.52%0.0612✗1.001.8M2022-09-19
JASMYJasmyCoinEthereum0.009050.008834-2.39%0.00746-17.57%0.0400✓0.943.3M2022-09-19
PSGParis Saint-Germain Fan TokenSolana8.958.7374-2.38%8-10.61%0.0076✓0.592.4M2022-09-19
MEDMediblocOsmosis0.0220180.021501-2.35%0.020248-8.04%0.0246✗0.6212k2022-09-19
DOTPolkadotPolkadot7.6647.4849-2.34%6.385-16.69%0.0007✓1.1710.0M2022-09-19
BATBasic AttentionEthereum0.354360.34625-2.29%0.30629-13.57%0.0248✗1.0833k2022-09-19
FTTFTXEthereum28.4627.8108-2.28%24.19-15.00%0.0006✓1.026.8M2022-09-19
XPRXPR NetworkEthereum0.0031060.003035-2.27%0.002524-18.74%0.0597✓0.911.2M2022-09-19
OGOG Fan TokenSolana5.9485.8131-2.27%5.296-10.96%0.0054✓0.643.1M2022-09-19
OMGOMG NetworkEthereum1.9621.9175-2.27%1.7159-12.55%0.0424✗1.1223k2022-09-19
SPELLSpellEthereum0.0013230.001293-2.26%0.0011-16.90%0.0492✓0.832.2M2022-09-19
XTZTezosTezos1.65651.6193-2.25%1.4887-10.13%0.0608✗1.06241k2022-09-19
CRVCurve DAOEthereum1.1431.1177-2.21%0.9829-14.01%0.0826✗1.544.4M2022-09-19
SUPERSuperVerseEthereum0.142110.138981-2.20%0.12606-11.29%0.0678✗1.21151k2022-09-19
ADXheyAuraEthereum0.172560.168778-2.19%0.15899-7.86%0.0444✗0.765152022-09-19
POWRPowerledgerEthereum0.23460.229478-2.18%0.1992-15.09%0.0188✓0.9057k2022-09-19
SNXSynthetixEthereum2.9432.8789-2.18%2.506-14.85%0.0733✗1.552.9M2022-09-19
UMAUMAEthereum2.7562.6968-2.15%2.425-12.01%0.0073✓0.83523k2022-09-19
BCHBitcoin CashBitcoin Cash128.87126.109-2.14%112.05-13.05%0.0426✗1.184.4M2022-09-19
XEMNEMnative0.0467110.04572-2.12%0.040881-12.48%0.0101✓0.8928k2022-09-19
SCSiacoinnative0.00420.004111-2.12%0.00357-15.00%0.0124✓0.94103k2022-09-19
UNIUniswapEthereum6.6596.5188-2.11%5.479-17.72%0.0183✓1.406.9M2022-09-19
PROPropyEthereum0.730.714718-2.09%0.66-9.59%0.0468✓0.2444k2022-09-19
XCNOnyxcoinEthereum0.0740.072452-2.09%0.0621-16.08%0.1358✓0.13378k2022-09-19
IOTAIOTAIOTA0.29170.285611-2.09%0.2595-11.04%0.0429✗1.022.7M2022-09-19
CWEBCoinwebEthereum0.0240350.023534-2.09%0.027182+13.09%0.1563✗0.09465k2022-09-19
TKOTokocryptoBinance Smart Chain0.2750.269265-2.09%0.256-6.91%0.0549✗0.77563k2022-09-19
API3Api3Ethereum1.8031.766-2.05%1.496-17.03%0.0270✓1.02627k2022-09-19
FORTFortaEthereum0.22570.221075-2.05%0.1798-20.34%0.1029✓0.7667k2022-09-19
AMPAmpEthereum0.006210.006083-2.04%0.00502-19.16%0.1054✓0.63911k2022-09-19
GALAGALAEthereum0.05130.050254-2.04%0.0433-15.59%0.0101✓1.16178k2022-09-19
CHZChilizEthereum0.20140.197306-2.03%0.2531+25.67%0.3836✗0.983.2M2022-09-19
FIDABonfidaSolana0.4810.471228-2.03%0.437-9.15%0.0672✗1.047,9852022-09-19
LPTLivepeerEthereum11.0210.7963-2.03%9.08-17.60%0.0107✓1.34288k2022-09-19
COTICOTIEthereum0.10270.100616-2.03%0.0944-8.08%0.0749✗1.01336k2022-09-19
SHIBShiba InuEthereum0.000012880.000012619-2.03%0.00001097-14.83%0.0016✓1.011.0M2022-09-19
1INCH1INCHEthereum0.6480.634874-2.03%0.596-8.02%0.0766✗1.02178k2022-09-19
HIVEHivenative0.58020.568454-2.02%0.5271-9.15%0.0088✓0.62836k2022-09-19
FISStafiEthereum0.36270.355384-2.02%0.3044-16.07%0.0105✓1.061,1592022-09-19
BARFC Barcelona Fan TokenSolana6.386.2515-2.01%5.75-9.87%0.0119✓0.522.1M2022-09-19
SWFTCSWFTCOINEthereum0.0016260.001593-2.01%0.001532-5.78%0.0683✗0.79374k2022-09-19
NAKANakamoto GamesPolygon0.06670.065361-2.01%0.0609-8.70%0.0726✗1.0579k2022-09-19
MANADecentralandEthereum0.794220.778385-1.99%0.72902-8.21%0.0888✗1.13624k2022-09-19
DUSKDUSKEthereum0.13470.132031-1.98%0.1151-14.55%0.0109✓1.082.7M2022-09-19
LINKChainlinkEthereum7.7587.6049-1.97%7.3-5.90%0.1141✗1.1318.0M2022-09-19
OXTOrchid ProtocolEthereum0.11410.111849-1.97%0.1003-12.09%0.0112✓0.88188k2022-09-19
MOVRMoonriverBase12.66512.4151-1.97%11.4637-9.49%0.0597✗1.0221k2022-09-19
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,583.39-1.97%1,331.44-17.57%0.0366✓1.003.3M2022-09-19
XYMSymbolnative0.0426730.041835-1.96%0.039404-7.66%0.0131✓0.5323k2022-09-19
MTLMetal DAOMetal L21.2791.2539-1.96%1.092-14.62%0.0107✓0.931.1M2022-09-19
LSKLiskEthereum1.0911.0697-1.95%0.962594-11.77%0.0002✓0.7736k2022-09-19
ALGOAlgorandAlgorand0.32370.317392-1.95%0.3172-2.01%0.1337✗0.986.0M2022-09-19
ICPInternet ComputerEthereum6.9266.7915-1.94%6.057-12.55%0.0221✗1.004.3M2022-09-19
DODODODOEthereum0.13190.129346-1.94%0.1251-5.16%0.1276✗1.181.4M2022-09-19
RUNETHORChainTHORChain1.9351.8976-1.93%1.699-12.20%0.1236✗1.7160k2022-09-19
VSYSV.SYSTEMSnative0.0016510.001619-1.93%0.001428-13.51%0.0328✓0.685,8832022-09-19
OPTIMOptimism1.2671.2429-1.90%0.955-24.63%0.0319✓1.692.7M2022-09-19
SUNSun TokenTron0.0063560.006235-1.90%0.005618-11.61%0.0169✓0.641,9622022-09-19
ZECZcashZcash62.9261.7273-1.90%55.26-12.17%0.0487✗1.171.1M2022-09-19
DIADIAEthereum0.399770.392193-1.90%0.38968-2.52%0.1320✗1.0131k2022-09-19
CVCCivicEthereum0.15180.148951-1.88%0.1312-13.57%0.0096✓1.00119k2022-09-19
DOGEDogecoinDogecoin0.0639580.062772-1.85%0.05866-8.28%0.0703✗1.011.2M2022-09-19
ANKRAnkr NetworkEthereum0.03730.036616-1.83%0.03126-16.19%0.0132✓1.0635k2022-09-19
ZENHorizenBase16.4816.1812-1.81%13.84-16.02%0.0149✓1.2579k2022-09-19
ACMAC Milan Fan TokenSolana4.2384.1613-1.81%3.746-11.61%0.0339✓0.522.3M2022-09-19
DKAdKargoEthereum0.047470.046612-1.81%0.04122-13.17%0.0342✓0.6514k2022-09-19
BCHSVBitcoin Cash SV54.60953.6241-1.80%49.657-9.07%0.0441✗0.88264k2022-09-19
DNTdistrict0xEthereum0.04930.048422-1.78%0.0432-12.37%0.0021✓0.85145k2022-09-19
C98Coin98Ethereum0.44360.435715-1.78%0.3928-11.45%0.0573✗1.1875k2022-09-19
KNCKyber Network CrystalEthereum1.91231.8785-1.77%1.4112-26.20%0.1704✓0.851.4M2022-09-19
ORBSOrbsEthereum0.040.0393-1.75%0.03487-12.83%0.0243✓0.702,2982022-09-19
BELBella ProtocolEthereum0.6720.660307-1.74%0.572-14.88%0.0120✓1.143.3M2022-09-19
DASHDashDash47.1746.3532-1.73%40.74-13.63%0.0172✓1.07312k2022-09-19
BTCBitcoinBitcoin22,402.7122,016.09-1.73%19,540.38-12.78%0.0174✓1.00480.9M2022-09-19
KSMKusamaHydration52.2151.3367-1.67%40.04-23.31%0.1080✓1.03363k2022-09-19
IDEXIDEXEthereum0.069150.067996-1.67%0.06161-10.90%0.0288✗0.938202022-09-19
QTUMQtumQtum3.29333.239-1.65%2.9221-11.27%0.0390✗1.0419k2022-09-19
WBTCWrapped BitcoinEthereum22,320.8021,954.38-1.64%19,581.40-12.27%0.0111✓0.9213k2022-09-19
ACHAlchemy PayEthereum0.0131540.012938-1.64%0.011897-9.56%0.0304✗0.84882k2022-09-19
ASMAssemble AIEthereum0.021020.020677-1.63%0.01974-6.09%0.0364✗0.61191k2022-09-19
ADACardanoCardano0.50140.493271-1.62%0.4526-9.73%0.0514✗1.0138.3M2022-09-19
AIOZAIOZ NetworkEthereum0.060.059028-1.62%0.0547-8.83%0.0397✗0.8590k2022-09-19
LCXLCXEthereum0.05160.050768-1.61%0.0498-3.49%0.1119✗0.96234k2022-09-19
XMRMoneroMonero163.77161.1288-1.61%140.37-14.29%0.0058✓0.971.4M2022-09-19
XVSVenusEthereum4.984.9003-1.60%4.59-7.83%0.0529✗0.87839k2022-09-19
TWTTrust WalletBinance Smart Chain1.00450.988428-1.60%0.9446-5.96%0.0326✗0.572.6M2022-09-19
SANDThe SandboxEthereum0.95910.94379-1.60%0.8565-10.70%0.0759✗1.27899k2022-09-19
LTCLitecoinLitecoin61.4160.4302-1.60%52.89-13.87%0.0093✓1.0414.0M2022-09-19
AVAXAvalancheAvalanche21.3721.0304-1.59%17.28-19.14%0.0083✓1.3818.0M2022-09-19
CBKCobakEthereum0.854280.84072-1.59%0.77846-8.88%0.0309✗0.7913k2022-09-19
CHRChromiaEthereum0.18390.181002-1.58%0.1539-16.31%0.0050✓1.151,7442022-09-19
LEOLEO TokenEthereum5.04524.9678-1.53%4.6593-7.65%0.0553✓0.06119k2022-09-19
SOLSolanaSolana37.4636.8882-1.53%32.65-12.84%0.0452✗1.2254.5M2022-09-19
ELAElastosEthereum1.6221.5972-1.53%1.485-8.45%0.0275✗0.7329k2022-09-19
ASRAS Roma Fan TokenSolana4.2854.2197-1.52%3.728-13.00%0.0737✓0.372.2M2022-09-19
BTTBitTorrentEthereum9.10e-78.96e-7-1.52%8.10e-7-10.99%0.0005✓0.7415k2022-09-19
BTTCBTTC9.00e-78.86e-7-1.51%8.00e-7-11.11%0.0016✓0.741.7M2022-09-19
FETArtificial Superintelligence AllianceEthereum0.09150.090118-1.51%0.0828-9.51%0.0498✗0.9814k2022-09-19
TRACOriginTrailEthereum0.20630.203214-1.50%0.1842-10.71%0.0505✗1.09135k2022-09-19
CITYManchester City Fan TokenSolana6.716.6112-1.47%6.05-9.84%0.0213✓0.492.1M2022-09-19
BNTBancor NetworkEthereum0.49480.487562-1.46%0.4467-9.72%0.0706✗1.16384k2022-09-19
JUVJuventus Fan TokenSolana5.335.2525-1.45%5.15-3.38%0.0684✗0.642.0M2022-09-19
STORJStorjEthereum0.5630.55485-1.45%0.47873-14.97%0.0352✗1.3439k2022-09-19
NANOnanopayBase0.9142160.901109-1.43%0.816606-10.68%0.0190✗0.8649k2022-09-19
CERECere NetworkEthereum0.0062340.006145-1.43%0.006367+2.13%0.0862✗0.3730k2022-09-19
KCSKuCoinnative9.7159.5762-1.43%9.098-6.35%0.0667✗0.861.2M2022-09-19
GTGateEthereum4.38394.3219-1.41%4.2119-3.92%0.0754✗0.74688k2022-09-19
AVTAventusEthereum1.431.4099-1.40%1.44+0.70%0.0024✓-0.14124k2022-09-19
AAVEAaveEthereum90.9989.7187-1.40%76.38-16.06%0.0481✗1.536.0M2022-09-19
STEEMSteemnative0.23550.232216-1.39%0.2188-7.09%0.0597✗0.87527k2022-09-19
QNTQuantEthereum106.65105.1717-1.39%107.75+1.03%0.1520✗0.933.5M2022-09-19
NEXONEXOEthereum0.970.956594-1.38%0.902-7.01%0.1036✗1.191.5M2022-09-19
GODSGods UnchainedEthereum0.316230.311897-1.37%0.38357+21.29%0.3015✗0.69326k2022-09-19
PHAPHALAEthereum0.10130.099921-1.36%0.0949-6.32%0.0525✗0.762,7302022-09-19
RARESuperRareEthereum0.20530.202626-1.30%0.1786-13.01%0.0271✗1.12108k2022-09-19
AGLDAdventure GoldEthereum0.4080.402757-1.29%0.3256-20.20%0.0640✓1.09202k2022-09-19
ATMAtletico Madrid Fan TokenSolana4.554.4917-1.28%4.26-6.37%0.0302✗0.611.4M2022-09-19
XLMStellarStellar0.1138590.112439-1.25%0.111743-1.86%0.1152✗0.896.5M2022-09-19
ARPAARPAEthereum0.03970.03921-1.23%0.034-14.36%0.0035✓1.0289k2022-09-19
BFCBifrostEthereum0.071990.071195-1.10%0.06261-13.03%0.0083✓1.0025k2022-09-19
NCTPolySwarmEthereum0.012940.012802-1.06%0.01128-12.83%0.0371✓0.65233k2022-09-19
TLMAlien WorldsEthereum0.024880.024618-1.06%0.02205-11.37%0.0377✗1.082,9582022-09-19
TRXTRONTron0.0638830.063227-1.03%0.060295-5.62%0.0162✗0.47123k2022-09-19
INDEXThe IndexRobinhood1.841.823-0.92%2.28+23.91%0.2878✗0.4758k2022-09-19
ETHEthereumEthereum1,716.711,702.61-0.82%1,376.17-19.84%0.0274✓1.36569.9M2022-09-19
YGGYield Guild GamesEthereum0.4830.479625-0.70%0.391-19.05%0.0388✓1.214,2692022-09-19
TRBTellor TributesEthereum16.5816.4997-0.48%14.77-10.92%0.0040✓0.781.5M2022-09-19
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.