8=======>

2022-09-10 · +1d

gru_s0 · 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
+0.1061
191 of 191 tokens assessed
long-short decile
-1.87%
realised beta-adjusted alpha
direction hit
63.9%
in alpha space · 52.4% on raw price
BTC over horizon
+0.83%
the unhedgeable market factor

Predicted vs actual (191 rows, sorted by pred)

tokennamechainanchor pxpred px ▾pred Δactual pxactual Δalpha errhitβ90dvol 30dtarget
TRXTRONTron0.0645860.064609+0.04%0.06419-0.61%0.0116✗0.62129k2022-09-11
GTGateEthereum4.3244.3206-0.08%4.3301+0.14%0.0040✓0.75702k2022-09-11
TLMAlien WorldsEthereum0.025470.025445-0.10%0.0255+0.12%0.0095✓1.412,9582022-09-11
LEOLEO TokenEthereum4.94554.9399-0.11%5.0627+2.37%0.0238✗0.09115k2022-09-11
TRBTellor TributesEthereum17.4717.4499-0.12%16.58-5.09%0.0568✓0.681.6M2022-09-11
AVTAventusEthereum1.431.4282-0.13%1.42-0.70%0.0053✓-0.05124k2022-09-11
CHRChromiaEthereum0.18610.185858-0.13%0.183-1.67%0.0266✓1.341,5202022-09-11
IDEXIDEXEthereum0.069110.069002-0.16%0.07307+5.73%0.0496✗0.936022022-09-11
WBTCWrapped BitcoinEthereum21,732.5021,691.98-0.19%21,663.60-0.32%0.0091✓0.9413k2022-09-11
SHIBShiba InuEthereum0.000013280.000013255-0.19%0.00001299-2.18%0.0276✓0.90951k2022-09-11
ARPAARPAEthereum0.03940.039325-0.19%0.0393-0.25%0.0076✓0.8584k2022-09-11
ADXheyAuraEthereum0.171290.170958-0.19%0.17414+1.66%0.0043✗1.712952022-09-11
BFCBifrostEthereum0.075980.075831-0.20%0.07546-0.68%0.0141✓1.1125k2022-09-11
YGGYield Guild GamesEthereum0.5160.514923-0.21%0.515-0.19%0.0094✓1.154,5592022-09-11
STEEMSteemnative0.22930.228788-0.22%0.235+2.49%0.0198✗0.85503k2022-09-11
AAVEAaveEthereum92.7492.5279-0.23%91.63-1.20%0.0215✓1.425.6M2022-09-11
ORBSOrbsEthereum0.039780.039682-0.25%0.0396-0.45%0.0083✓0.762,2982022-09-11
SNXSynthetixEthereum3.0243.0165-0.25%2.963-2.02%0.0297✓1.433.0M2022-09-11
KCSKuCoinnative9.7769.7514-0.25%9.755-0.21%0.0072✓0.921.2M2022-09-11
TWTTrust WalletBinance Smart Chain1.03411.0314-0.26%1.0275-0.64%0.0080✓0.512.7M2022-09-11
ASMAssemble AIEthereum0.021060.021004-0.26%0.0213+1.14%0.0079✗0.73223k2022-09-11
CERECere NetworkEthereum0.0062280.006211-0.27%0.006309+1.30%0.0119✗0.4433k2022-09-11
BTTBitTorrentEthereum9.10e-79.08e-7-0.27%9.10e-7+0.00%0.0035✓0.7515k2022-09-11
RARESuperRareEthereum0.210.209426-0.27%0.2106+0.29%0.0040✓1.15108k2022-09-11
HIVEHivenative0.57790.576253-0.29%0.5792+0.22%0.0010✓0.74826k2022-09-11
NEXONEXOEthereum0.9780.975078-0.30%0.974-0.41%0.0111✓1.211.5M2022-09-11
SOLSolanaSolana35.0734.9631-0.30%35.01-0.17%0.0073✓1.0458.3M2022-09-11
DIADIAEthereum0.403660.402428-0.31%0.40526+0.40%0.0007✓0.9431k2022-09-11
XEMNEMnative0.0457360.045593-0.31%0.046785+2.29%0.0193✗0.7928k2022-09-11
DNTdistrict0xEthereum0.04790.047749-0.31%0.0497+3.76%0.0327✗0.88132k2022-09-11
PEOPLEConstitutionDAOEthereum0.023050.022977-0.32%0.02332+1.17%0.0080✗0.839.2M2022-09-11
BTTCBTTC9.30e-79.27e-7-0.32%9.10e-7-2.15%0.0249✓0.771.7M2022-09-11
ETHEthereumEthereum1,774.691,768.95-0.32%1,766.95-0.44%0.0119✓1.30591.2M2022-09-11
SCSiacoinnative0.004130.004117-0.33%0.00419+1.45%0.0102✗0.90103k2022-09-11
BNTBancor NetworkEthereum0.50590.504246-0.33%0.512+1.21%0.0062✗1.09384k2022-09-11
SWFTCSWFTCOINEthereum0.0015480.001543-0.33%0.001558+0.65%0.0034✗0.77343k2022-09-11
XMRMoneroMonero157.51156.9888-0.33%159.22+1.09%0.0057✗1.011.3M2022-09-11
IOTAIOTAIOTA0.29490.293908-0.34%0.2923-0.88%0.0131✓0.922.7M2022-09-11
LTCLitecoinLitecoin63.3263.1061-0.34%62.18-1.80%0.0227✓0.9513.5M2022-09-11
ASRAS Roma Fan TokenSolana4.3544.3391-0.34%4.354+0.00%0.0007✓0.322.2M2022-09-11
GODSGods UnchainedEthereum0.33230.331146-0.35%0.33139-0.27%0.0052✓0.72327k2022-09-11
TRACOriginTrailEthereum0.21160.210857-0.35%0.2141+1.18%0.0056✗1.16139k2022-09-11
STORJStorjEthereum0.556410.554449-0.35%0.55506-0.24%0.0090✓1.2239k2022-09-11
VSYSV.SYSTEMSnative0.0016010.001595-0.35%0.001636+2.19%0.0197✗0.666,5532022-09-11
LINKChainlinkEthereum7.9067.8779-0.36%8.03+1.57%0.0111✗0.9618.0M2022-09-11
BTCBitcoinBitcoin21,651.5221,573.71-0.36%21,831.72+0.83%0.0036✗1.00473.4M2022-09-11
QNTQuantEthereum105.47105.0904-0.36%108.82+3.18%0.0286✗0.763.4M2022-09-11
ACHAlchemy PayEthereum0.0130660.013018-0.37%0.013193+0.97%0.0083✗0.61929k2022-09-11
SUNSun TokenTron0.00630.006277-0.37%0.006537+3.75%0.0348✗0.692,0442022-09-11
API3Api3Ethereum1.7891.7824-0.37%1.838+2.74%0.0237✗0.85627k2022-09-11
XYMSymbolnative0.0425350.042375-0.38%0.042322-0.50%0.0055✓0.5123k2022-09-11
DKAdKargoEthereum0.046140.045965-0.38%0.04664+1.08%0.0087✗0.7114k2022-09-11
BELBella ProtocolEthereum0.680.677374-0.39%0.676-0.59%0.0114✓1.133.7M2022-09-11
DUSKDUSKEthereum0.13910.138561-0.39%0.1378-0.93%0.0095✓0.482.9M2022-09-11
POWRPowerledgerEthereum0.22080.219937-0.39%0.2303+4.30%0.0384✗0.9257k2022-09-11
NANOnanopayBase0.9383090.934643-0.39%0.927788-1.12%0.0138✓0.7849k2022-09-11
XYOXYO NetworkEthereum0.007860.007829-0.39%0.00844+7.38%0.0666✗1.03389k2022-09-11
CWEBCoinwebEthereum0.0241910.024094-0.40%0.023973-0.90%0.0054✓0.04454k2022-09-11
MTLMetal DAOMetal L21.2221.2169-0.42%1.251+2.37%0.0198✗0.941.1M2022-09-11
XVGVergenative0.003220.003206-0.42%0.00381+18.32%0.1647✗0.94481k2022-09-11
INDEXThe IndexRobinhood1.891.8819-0.43%1.9+0.53%0.0054✗0.5161k2022-09-11
SUPERSuperVerseEthereum0.143720.143104-0.43%0.14382+0.07%0.0043✓1.12157k2022-09-11
ATMAtletico Madrid Fan TokenSolana4.634.6099-0.43%4.64+0.22%0.0024✓0.501.3M2022-09-11
FETArtificial Superintelligence AllianceEthereum0.09950.099069-0.43%0.0941-5.43%0.0586✓0.8613k2022-09-11
CVCCivicEthereum0.14910.148449-0.44%0.1518+1.81%0.0144✗0.95117k2022-09-11
XECeCashnative0.000044560.000044365-0.44%0.00004562+2.38%0.0214✗0.792.5M2022-09-11
XLMStellarStellar0.1147070.114205-0.44%0.114387-0.28%0.0053✓0.836.5M2022-09-11
DOGEDogecoinDogecoin0.0647310.064444-0.44%0.063703-1.59%0.0199✓1.001.3M2022-09-11
XPRXPR NetworkEthereum0.0029110.002898-0.44%0.002904-0.24%0.0050✓0.851.2M2022-09-11
PSGParis Saint-Germain Fan TokenSolana9.028.9797-0.45%8.98-0.44%0.0036✓0.442.2M2022-09-11
ENJEnjin CoinEthereum0.5520.549518-0.45%0.543-1.63%0.0209✓1.0877k2022-09-11
MOVRMoonriverBase13.467613.4069-0.45%12.8866-4.31%0.0469✓0.8822k2022-09-11
LSKLiskEthereum1.06961.0648-0.45%1.0863+1.55%0.0133✗0.8034k2022-09-11
MEDMediblocOsmosis0.0215750.021477-0.45%0.021887+1.45%0.0127✗0.7512k2022-09-11
JASMYJasmyCoinEthereum0.009380.009337-0.46%0.00944+0.64%0.0049✗0.723.3M2022-09-11
BCHSVBitcoin Cash SV55.23654.9842-0.46%54.454-1.42%0.0157✓0.73284k2022-09-11
ICPInternet ComputerEthereum7.1297.0964-0.46%7.173+0.62%0.0038✓0.844.3M2022-09-11
UMAUMAEthereum2.8072.7941-0.46%2.782-0.89%0.0110✓0.80630k2022-09-11
ALGOAlgorandAlgorand0.32230.320808-0.46%0.3264+1.27%0.0101✗0.865.9M2022-09-11
DASHDashDash48.7748.5391-0.47%48.35-0.86%0.0118✓0.95328k2022-09-11
BCHBitcoin CashBitcoin Cash132.64132.0085-0.48%130.35-1.73%0.0219✓1.114.4M2022-09-11
PHAPHALAEthereum0.10360.103104-0.48%0.1027-0.87%0.0098✓0.712,6892022-09-11
BARFC Barcelona Fan TokenSolana6.466.429-0.48%6.57+1.70%0.0181✗0.432.2M2022-09-11
PROPropyEthereum0.730.726479-0.48%0.72-1.37%0.0121✓0.3850k2022-09-11
JUVJuventus Fan TokenSolana5.415.3838-0.49%5.43+0.37%0.0051✗0.412.0M2022-09-11
CELLCellframeEthereum0.3140.312471-0.49%0.2929-6.72%0.0731✓1.0292k2022-09-11
AGLDAdventure GoldEthereum0.42040.41834-0.49%0.4255+1.21%0.0084✗1.03209k2022-09-11
KSMKusamaHydration52.3252.0589-0.50%51.9-0.80%0.0107✓0.93363k2022-09-11
ENSEthereum Name ServiceEthereum15.5715.4918-0.50%15.7+0.83%0.0061✗0.871.7M2022-09-11
XTZTezosTezos1.66641.658-0.50%1.6855+1.15%0.0078✗1.04241k2022-09-11
SPELLSpellEthereum0.0013810.001374-0.51%0.001367-0.97%0.0102✓0.672.3M2022-09-11
DODODODOEthereum0.13360.132921-0.51%0.1333-0.22%0.0060✓1.061.4M2022-09-11
FTTFTXEthereum27.6927.5489-0.51%27.89+0.72%0.0043✓0.976.8M2022-09-11
NCTPolySwarmEthereum0.013060.012992-0.52%0.01293-1.00%0.0107✓0.72228k2022-09-11
ASTRAstarEthereum0.03790.037701-0.53%0.0372-1.85%0.0195✓0.747,8252022-09-11
ANKRAnkr NetworkEthereum0.03820.037999-0.53%0.03781-1.02%0.0131✓0.9859k2022-09-11
BATBasic AttentionEthereum0.354070.352206-0.53%0.35169-0.67%0.0093✓0.9534k2022-09-11
XCNOnyxcoinEthereum0.071970.071591-0.53%0.07414+3.02%0.0339✗0.13389k2022-09-11
QTUMQtumQtum3.37543.3574-0.53%3.3066-2.04%0.0232✓0.9619k2022-09-11
NAKANakamoto GamesPolygon0.06580.065449-0.53%0.0645-1.98%0.0213✓0.8081k2022-09-11
LCXLCXEthereum0.05080.050528-0.54%0.0508+0.00%0.0028✓0.99234k2022-09-11
EWTEnergy Web TokenEthereum4.5694.5445-0.54%4.501-1.49%0.0171✓0.90289k2022-09-11
CBKCobakEthereum0.850180.845608-0.54%0.8518+0.19%0.0001✓0.8913k2022-09-11
ZECZcashZcash65.3364.9781-0.54%64.27-1.62%0.0207✓1.171.2M2022-09-11
COTICOTIEthereum0.09890.098367-0.54%0.0997+0.81%0.0061✗0.89336k2022-09-11
WOOWOOEthereum0.16250.161623-0.54%0.168+3.38%0.0311✗0.921,0012022-09-11
BOBABoba NetworkEthereum0.34010.338209-0.56%0.3328-2.15%0.0248✓1.0582k2022-09-11
OMGOMG NetworkEthereum1.93891.9281-0.56%1.9241-0.76%0.0108✓1.0523k2022-09-11
UNIUniswapEthereum6.6746.6365-0.56%6.491-2.74%0.0325✓1.246.9M2022-09-11
ZENHorizenBase16.8516.754-0.57%16.47-2.26%0.0260✓1.0885k2022-09-11
1INCH1INCHEthereum0.6570.653251-0.57%0.649-1.22%0.0141✓0.92178k2022-09-11
ATOMCosmos HubCosmos15.99515.9034-0.57%15.699-1.85%0.0224✓1.1418.7M2022-09-11
ELAElastosEthereum1.6611.6514-0.58%1.655-0.36%0.0040✓0.7544k2022-09-11
PORPortugal National Team Fan TokenSolana4.45134.4256-0.58%4.847+8.89%0.0784✗1.52129k2022-09-11
SKLSKALEEthereum0.0510.050705-0.58%0.0501-1.76%0.0198✓0.94546k2022-09-11
DOTPolkadotPolkadot7.7777.732-0.58%7.702-0.96%0.0120✓0.9810.0M2022-09-11
ADACardanoCardano0.51240.509396-0.59%0.5101-0.45%0.0058✓0.8637.9M2022-09-11
PONDMarlinEthereum0.0109740.010909-0.59%0.011314+3.10%0.0281✗1.006082022-09-11
CITYManchester City Fan TokenSolana6.626.5808-0.59%6.73+1.66%0.0189✗0.432.1M2022-09-11
HIGHHighstreetEthereum1.5141.5049-0.60%1.517+0.20%0.0011✓1.1071k2022-09-11
OXTOrchid ProtocolEthereum0.11450.113811-0.60%0.1156+0.96%0.0092✗0.77169k2022-09-11
XVSVenusEthereum5.115.0792-0.60%5.1-0.20%0.0026✓0.81943k2022-09-11
CHZChilizEthereum0.20160.200379-0.61%0.2083+3.32%0.0319✗0.833.2M2022-09-11
FORTFortaEthereum0.22990.228503-0.61%0.2312+0.57%0.0054✓0.7767k2022-09-11
OGOG Fan TokenSolana6.0215.9844-0.61%6.139+1.96%0.0220✗0.423.3M2022-09-11
ZRX0x ProtocolEthereum0.3126760.310773-0.61%0.313787+0.36%0.0014✓0.99514k2022-09-11
APEApeCoinEthereum5.0525.0212-0.61%5.682+12.47%0.1133✗1.246.2M2022-09-11
OPTIMOptimism1.3871.3785-0.61%1.402+1.08%0.0038✓1.582.8M2022-09-11
AVAXAvalancheAvalanche20.4520.3233-0.62%20.69+1.17%0.0082✗1.1718.5M2022-09-11
ACMAC Milan Fan TokenSolana4.2964.2693-0.62%4.405+2.54%0.0277✗0.442.1M2022-09-11
BORABORAKlay Token0.290350.288541-0.62%0.29146+0.38%0.0021✓0.9614k2022-09-11
RLCiExec RLCEthereum1.3251.3165-0.64%1.3145-0.79%0.0091✓0.911.1M2022-09-11
C98Coin98Ethereum0.44340.440544-0.64%0.4445+0.25%0.0005✓1.1381k2022-09-11
ALICEMy Neighbor AliceEthereum2.2242.2093-0.66%2.202-0.99%0.0124✓1.1033k2022-09-11
AIOZAIOZ NetworkEthereum0.05980.059404-0.66%0.0611+2.17%0.0209✗0.8881k2022-09-11
SUSHISushiEthereum1.33511.3262-0.66%1.3029-2.41%0.0269✓1.111.1M2022-09-11
CTKShentuOsmosis1.0281.0212-0.66%1.024-0.39%0.0009✓0.442.8M2022-09-11
ALEPHAleph CloudEthereum0.13070.12983-0.67%0.127-2.83%0.0221✓0.0183k2022-09-11
POKTPocket NetworkEthereum0.12740.126551-0.67%0.1254-1.57%0.0149✓0.69195k2022-09-11
AMPAmpEthereum0.005930.00589-0.67%0.00661+11.47%0.1101✗0.63911k2022-09-11
KNCKyber Network CrystalEthereum2.04772.0339-0.67%2.0077-1.95%0.0202✓0.871.2M2022-09-11
CBETHCoinbase Wrapped Staked ETHEthereum1,670.431,659.12-0.68%1,656.91-0.81%0.0096✓1.003.4M2022-09-11
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.5734.5413-0.69%4.6789+2.32%0.0256✗0.517.3M2022-09-11
RIFRootstock Infrastructure FrameworkEthereum0.0670.066533-0.70%0.0662-1.19%0.0150✓1.21608k2022-09-11
PORTOFC PortoBinance Smart Chain6.97826.9293-0.70%7.1468+2.42%0.0296✗0.158.6M2022-09-11
GLMGolemEthereum0.28180.279806-0.71%0.3308+17.39%0.1609✗0.7984k2022-09-11
IMXImmutableEthereum0.87190.865724-0.71%0.8663-0.64%0.0075✓0.99988k2022-09-11
LPTLivepeerEthereum10.9510.8724-0.71%11.23+2.56%0.0223✗1.22298k2022-09-11
BICOBiconomyEthereum0.52490.521158-0.71%0.5157-1.75%0.0160✓0.66444k2022-09-11
BANDBandEthereum1.3721.3621-0.72%1.369-0.22%0.0040✓1.09385k2022-09-11
NMRNumeraireEthereum17.9617.8298-0.73%18.93+5.40%0.0548✗0.61384k2022-09-11
RADRadworksEthereum2.612.5909-0.73%2.63+0.77%0.0095✗0.66262k2022-09-11
CRVCurve DAOEthereum1.24461.2355-0.73%1.183-4.95%0.0556✓1.484.4M2022-09-11
GALAGALAEthereum0.05220.051817-0.73%0.052-0.38%0.0036✓0.86204k2022-09-11
MINAMina Protocolnative0.6860.680945-0.74%0.686+0.00%0.0009✓0.78116k2022-09-11
OGNOrigin TokenEthereum0.179590.17826-0.74%0.17789-0.95%0.0098✓0.93268k2022-09-11
MANADecentralandEthereum0.81370.807665-0.74%0.80376-1.22%0.0117✓0.83584k2022-09-11
GITCOINGITCOIN2.32732.3097-0.76%2.3057-0.93%0.0108✓1.0913k2022-09-11
GRTThe GraphEthereum0.11730.11641-0.76%0.1167-0.51%0.0061✓1.032.5M2022-09-11
RUNETHORChainTHORChain2.0482.0323-0.77%1.99-2.83%0.0345✓1.6260k2022-09-11
STXStacksnative0.38460.381628-0.77%0.3903+1.48%0.0134✗1.09335k2022-09-11
FLOWFlownative2.112.0937-0.77%2.116+0.28%0.0000✓1.281.1M2022-09-11
NEARNEAR ProtocolNEAR4.8134.7755-0.78%4.896+1.72%0.0166✗1.001.2M2022-09-11
LRCLoopringEthereum0.36650.36361-0.79%0.3619-1.26%0.0132✓1.0271k2022-09-11
AXSAxie InfinityEthereum14.7214.6-0.82%14.56-1.09%0.0112✓1.02925k2022-09-11
SANDThe SandboxEthereum0.98750.979328-0.83%0.9748-1.29%0.0140✓1.13899k2022-09-11
SANTOSSantos FC Fan TokenBinance Smart Chain12.21412.1115-0.84%12.594+3.11%0.0354✗0.4416.0M2022-09-11
GTCGitcoinEthereum2.342.3203-0.84%2.33-0.43%0.0053✓1.14229k2022-09-11
DEXEDeXeEthereum3.2723.2439-0.86%3.278+0.18%0.0063✓0.50653k2022-09-11
YFIyearn.financeEthereum10,440.9910,351.30-0.86%10,194.93-2.36%0.0268✓1.394.2M2022-09-11
CTSICartesiEthereum0.15330.151935-0.89%0.1545+0.78%0.0084✓1.00361k2022-09-11
ORCAOrcaSolana0.9020.893881-0.90%0.8885-1.50%0.0173✓1.3694k2022-09-11
AUCTIONBounceEthereum7.787.7098-0.90%7.63-1.93%0.0189✓1.03237k2022-09-11
LAZIOLazio Fan TokenBinance Smart Chain7.41537.3467-0.92%7.6094+2.62%0.0333✗0.229.9M2022-09-11
ETCEthereum Classicnative39.2338.8621-0.94%38.56-1.71%0.0198✓1.4411.7M2022-09-11
GLMRMoonbeamBase0.5680.562643-0.94%0.595+4.75%0.0470✗1.0763k2022-09-11
COMPCompoundEthereum53.0652.5472-0.97%55.25+4.13%0.0402✗1.209,0502022-09-11
UOSUltraEthereum0.465030.46045-0.98%0.45678-1.77%0.0157✓0.93392k2022-09-11
GMTGMTEthereum0.74910.741674-0.99%0.7351-1.87%0.0202✓1.36210k2022-09-11
FISStafiEthereum0.39310.389125-1.01%0.3501-10.94%0.1145✓1.067402022-09-11
METISMetisEthereum32.5532.2199-1.01%31.98-1.75%0.0216✓1.71178k2022-09-11
CELRCeler NetworkEthereum0.0189450.018753-1.01%0.01828-3.51%0.0338✓1.006792022-09-11
BRISEBitgertEthereum6.85e-76.77e-7-1.11%7.30e-7+6.57%0.0679✗0.832.3M2022-09-11
MASKMask NetworkEthereum1.491.4732-1.13%1.46-2.01%0.0164✓0.8981k2022-09-11
DYDXdYdXCosmos1.6151.5966-1.14%1.648+2.04%0.0227✗1.0943k2022-09-11
ROSEOasisBinance Smart Chain0.065880.065071-1.23%0.06521-1.02%0.0069✓1.091.4M2022-09-11
FILFilecoinFilecoin6.3596.28-1.24%6.417+0.91%0.0146✗0.846.2M2022-09-11
FIDABonfidaSolana0.5160.509548-1.25%0.513-0.58%0.0015✓0.997,7812022-09-11
TKOTokocryptoBinance Smart Chain0.2840.280348-1.29%0.285+0.35%0.0105✓0.72563k2022-09-11
LUNATerraTerra 20.00043480.000427686-1.64%0.00043138-0.79%0.0044✓0.501.8M2022-09-11
AERGOAergo [OLD]Ethereum0.17380.169481-2.49%0.2611+50.23%0.4253✗0.8324k2022-09-11
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.