8=======>

2022-09-12 · +1d

gru_s9 · 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
+0.0616
191 of 191 tokens assessed
long-short decile
+2.16%
realised beta-adjusted alpha
direction hit
18.8%
in alpha space · 93.7% on raw price
BTC over horizon
-9.94%
the unhedgeable market factor

Predicted vs actual (191 rows, sorted by pred)

tokennamechainanchor pxpred px ▾pred Δactual pxactual Δalpha errhitβ90dvol 30dtarget
TRBTellor TributesEthereum16.5816.6006+0.12%15.2-8.32%0.0063✗0.781.5M2022-09-13
INDEXThe IndexRobinhood1.841.8407+0.04%1.81-1.63%0.0323✓0.4758k2022-09-13
YGGYield Guild GamesEthereum0.4830.483048+0.01%0.449-7.04%0.0537✓1.214,2692022-09-13
TLMAlien WorldsEthereum0.024880.024874-0.02%0.02317-6.87%0.0423✗1.082,9582022-09-13
TRXTRONTron0.0638830.063858-0.04%0.060682-5.01%0.0022✓0.47123k2022-09-13
ELAElastosEthereum1.6221.6212-0.05%1.553-4.25%0.0339✗0.7329k2022-09-13
BFCBifrostEthereum0.071990.07195-0.06%0.0679-5.68%0.0469✗1.0025k2022-09-13
NCTPolySwarmEthereum0.012940.012932-0.06%0.01252-3.25%0.0362✗0.65233k2022-09-13
CHRChromiaEthereum0.18390.183773-0.07%0.165-10.28%0.0127✗1.151,7442022-09-13
CBKCobakEthereum0.854280.853619-0.08%0.82473-3.46%0.0482✗0.7913k2022-09-13
ACHAlchemy PayEthereum0.0131540.013143-0.09%0.012152-7.62%0.0092✗0.84882k2022-09-13
ASMAssemble AIEthereum0.021020.020999-0.10%0.02007-4.52%0.0182✗0.61191k2022-09-13
DUSKDUSKEthereum0.13470.13454-0.12%0.1243-7.72%0.0344✗1.082.7M2022-09-13
XVSVenusEthereum4.984.974-0.12%4.66-6.43%0.0254✗0.87839k2022-09-13
FETArtificial Superintelligence AllianceEthereum0.09150.091388-0.12%0.0848-7.32%0.0282✗0.9814k2022-09-13
AIOZAIOZ NetworkEthereum0.060.059924-0.13%0.0572-4.67%0.0422✗0.8590k2022-09-13
MOVRMoonriverBase12.66512.6482-0.13%11.9339-5.77%0.0487✗1.0221k2022-09-13
LEOLEO TokenEthereum5.04525.0382-0.14%4.9699-1.49%0.0069✓0.06119k2022-09-13
STORJStorjEthereum0.5630.562204-0.14%0.50798-9.77%0.0386✗1.3439k2022-09-13
DIADIAEthereum0.399770.399203-0.14%0.38116-4.66%0.0599✗1.0131k2022-09-13
BELBella ProtocolEthereum0.6720.671002-0.15%0.622-7.44%0.0434✗1.143.3M2022-09-13
NANOnanopayBase0.9142160.912793-0.16%0.846269-7.43%0.0144✗0.8649k2022-09-13
SUPERSuperVerseEthereum0.142110.141885-0.16%0.13476-5.17%0.0752✗1.21151k2022-09-13
BTTBitTorrentEthereum9.10e-79.09e-7-0.16%8.70e-7-4.40%0.0345✗0.7415k2022-09-13
FORTFortaEthereum0.22570.225335-0.16%0.2103-6.82%0.0105✗0.7667k2022-09-13
CERECere NetworkEthereum0.0062340.006224-0.16%0.006216-0.29%0.0376✗0.3730k2022-09-13
ETHEthereumEthereum1,716.711,713.89-0.16%1,574.71-8.27%0.0574✗1.36569.9M2022-09-13
BTTCBTTC9.00e-78.98e-7-0.17%8.60e-7-4.44%0.0336✗0.741.7M2022-09-13
BTCBitcoinBitcoin22,402.7122,363.57-0.17%20,174.78-9.94%0.0017✗1.00480.9M2022-09-13
DASHDashDash47.1747.0865-0.18%43.77-7.21%0.0390✗1.07312k2022-09-13
WBTCWrapped BitcoinEthereum22,320.8022,280.77-0.18%20,237.10-9.34%0.0000✓0.9213k2022-09-13
IDEXIDEXEthereum0.069150.069024-0.18%0.06468-6.46%0.0326✗0.938202022-09-13
GODSGods UnchainedEthereum0.316230.315643-0.19%0.30966-2.08%0.0534✗0.69326k2022-09-13
ATMAtletico Madrid Fan TokenSolana4.554.5415-0.19%4.5-1.10%0.0545✗0.611.4M2022-09-13
LCXLCXEthereum0.05160.051503-0.19%0.0496-3.88%0.0628✗0.96234k2022-09-13
RARESuperRareEthereum0.20530.204909-0.19%0.1898-7.55%0.0409✗1.12108k2022-09-13
ZECZcashZcash62.9262.7992-0.19%58.92-6.36%0.0583✗1.171.1M2022-09-13
JASMYJasmyCoinEthereum0.009050.009033-0.19%0.00851-5.97%0.0392✗0.943.3M2022-09-13
SNXSynthetixEthereum2.9432.9371-0.20%2.719-7.61%0.0853✗1.552.9M2022-09-13
AVTAventusEthereum1.431.4271-0.20%1.41-1.40%0.0264✓-0.14124k2022-09-13
STEEMSteemnative0.23550.235013-0.21%0.2161-8.24%0.0074✗0.87527k2022-09-13
SUNSun TokenTron0.0063560.006342-0.21%0.005899-7.19%0.0056✓0.641,9622022-09-13
PHAPHALAEthereum0.10130.101085-0.21%0.0968-4.44%0.0364✗0.762,7302022-09-13
ACMAC Milan Fan TokenSolana4.2384.2289-0.21%4.082-3.68%0.0193✗0.522.3M2022-09-13
BNTBancor NetworkEthereum0.49480.493739-0.21%0.4625-6.53%0.0558✗1.16384k2022-09-13
BATBasic AttentionEthereum0.354360.353597-0.22%0.32139-9.30%0.0175✗1.0833k2022-09-13
DOGEDogecoinDogecoin0.0639580.06382-0.22%0.059635-6.76%0.0380✗1.011.2M2022-09-13
UMAUMAEthereum2.7562.7501-0.22%2.618-5.01%0.0378✗0.83523k2022-09-13
AGLDAdventure GoldEthereum0.4080.407112-0.22%0.4008-1.76%0.0983✗1.09202k2022-09-13
GTGateEthereum4.38394.3741-0.22%4.1432-5.49%0.0233✗0.74688k2022-09-13
ASRAS Roma Fan TokenSolana4.2854.2755-0.22%4.142-3.34%0.0067✗0.372.2M2022-09-13
IOTAIOTAIOTA0.29170.291044-0.22%0.2679-8.16%0.0235✗1.022.7M2022-09-13
QTUMQtumQtum3.29333.2858-0.23%3.0233-8.20%0.0255✗1.0419k2022-09-13
SCSiacoinnative0.00420.00419-0.24%0.00381-9.29%0.0035✗0.94103k2022-09-13
ADACardanoCardano0.50140.500211-0.24%0.4637-7.52%0.0295✗1.0138.3M2022-09-13
MANADecentralandEthereum0.794220.792322-0.24%0.73147-7.90%0.0383✗1.13624k2022-09-13
XYMSymbolnative0.0426730.042571-0.24%0.03987-6.57%0.0096✓0.5323k2022-09-13
VSYSV.SYSTEMSnative0.0016510.001647-0.24%0.001531-7.27%0.0019✓0.685,8832022-09-13
TRACOriginTrailEthereum0.20630.205785-0.25%0.199-3.54%0.0805✗1.09135k2022-09-13
KCSKuCoinnative9.7159.6906-0.25%9.254-4.75%0.0443✗0.861.2M2022-09-13
SANDThe SandboxEthereum0.95910.956624-0.26%0.8796-8.29%0.0486✗1.27899k2022-09-13
DODODODOEthereum0.13190.131558-0.26%0.1253-5.00%0.0746✗1.181.4M2022-09-13
TKOTokocryptoBinance Smart Chain0.2750.274284-0.26%0.263-4.36%0.0388✗0.77563k2022-09-13
LPTLivepeerEthereum11.0210.9912-0.26%9.73-11.71%0.0190✗1.34288k2022-09-13
CVCCivicEthereum0.15180.151402-0.26%0.1392-8.30%0.0205✗1.00119k2022-09-13
BCHSVBitcoin Cash SV54.60954.4646-0.26%51.566-5.57%0.0380✗0.88264k2022-09-13
LTCLitecoinLitecoin61.4161.2472-0.27%59.1-3.76%0.0736✗1.0414.0M2022-09-13
XLMStellarStellar0.1138590.113556-0.27%0.104654-8.08%0.0114✗0.896.5M2022-09-13
ANKRAnkr NetworkEthereum0.03730.037201-0.27%0.03367-9.73%0.0113✗1.0635k2022-09-13
XMRMoneroMonero163.77163.3301-0.27%145.44-11.19%0.0148✓0.971.4M2022-09-13
GITCOINGITCOIN2.14882.1429-0.27%2.0329-5.39%0.0654✗1.1313k2022-09-13
ARPAARPAEthereum0.03970.039591-0.27%0.0361-9.07%0.0143✗1.0289k2022-09-13
JUVJuventus Fan TokenSolana5.335.3152-0.28%5.72+7.32%0.1409✗0.642.0M2022-09-13
LSKLiskEthereum1.0911.0879-0.28%1.0027-8.09%0.0009✓0.7736k2022-09-13
ZENHorizenBase16.4816.4337-0.28%14.84-9.95%0.0292✗1.2579k2022-09-13
AUCTIONBounceEthereum7.427.3988-0.29%6.97-6.06%0.0551✗1.10224k2022-09-13
TWTTrust WalletBinance Smart Chain1.00451.0016-0.29%1.0223+1.77%0.0802✗0.572.6M2022-09-13
PROPropyEthereum0.730.727885-0.29%0.71-2.74%0.0003✓0.2444k2022-09-13
SUSHISushiEthereum1.26951.2658-0.29%1.1703-7.81%0.0411✗1.141.1M2022-09-13
AMPAmpEthereum0.006210.006192-0.30%0.00563-9.34%0.0287✓0.63911k2022-09-13
AAVEAaveEthereum90.9990.7176-0.30%82.97-8.81%0.0709✗1.536.0M2022-09-13
PSGParis Saint-Germain Fan TokenSolana8.958.9232-0.30%8.75-2.23%0.0422✗0.592.4M2022-09-13
CRVCurve DAOEthereum1.1431.1396-0.30%1.0525-7.92%0.0823✗1.544.4M2022-09-13
ORBSOrbsEthereum0.040.039879-0.30%0.03648-8.80%0.0161✓0.702,2982022-09-13
C98Coin98Ethereum0.44360.44224-0.31%0.4014-9.51%0.0264✗1.1875k2022-09-13
1INCH1INCHEthereum0.6480.645998-0.31%0.595-8.18%0.0249✗1.02178k2022-09-13
DKAdKargoEthereum0.047470.047322-0.31%0.04273-9.99%0.0341✓0.6514k2022-09-13
ALGOAlgorandAlgorand0.32370.322671-0.32%0.2966-8.37%0.0187✗0.986.0M2022-09-13
QNTQuantEthereum106.65106.2997-0.33%97.87-8.23%0.0153✗0.933.5M2022-09-13
KNCKyber Network CrystalEthereum1.91231.9059-0.33%1.9586+2.42%0.1159✗0.851.4M2022-09-13
PEOPLEConstitutionDAOEthereum0.02280.022724-0.33%0.02043-10.39%0.0052✗1.0710.3M2022-09-13
HIVEHivenative0.58020.578227-0.34%0.5504-5.14%0.0153✗0.62836k2022-09-13
CELLCellframeEthereum0.29760.296585-0.34%0.298+0.13%0.1179✗1.0874k2022-09-13
RIFRootstock Infrastructure FrameworkEthereum0.06540.065169-0.35%0.059-9.79%0.0280✗1.22563k2022-09-13
COMPCompoundEthereum54.7354.5353-0.36%55.83+2.01%0.1567✗1.278,6412022-09-13
SHIBShiba InuEthereum0.000012880.000012834-0.36%0.00001209-6.13%0.0463✗1.011.0M2022-09-13
SKLSKALEEthereum0.04920.049023-0.36%0.0441-10.37%0.0173✗1.18546k2022-09-13
ICPInternet ComputerEthereum6.9266.9011-0.36%6.4-7.59%0.0292✗1.004.3M2022-09-13
DEXEDeXeEthereum3.2453.2333-0.36%3.055-5.86%0.0177✓0.37676k2022-09-13
DNTdistrict0xEthereum0.04930.049122-0.36%0.0452-8.32%0.0059✗0.85145k2022-09-13
WOOWOOEthereum0.16420.163598-0.37%0.1561-4.93%0.0905✗1.319132022-09-13
XCNOnyxcoinEthereum0.0740.073725-0.37%0.06913-6.58%0.0503✓0.13378k2022-09-13
ENJEnjin CoinEthereum0.5420.539977-0.37%0.493-9.04%0.0367✗1.2277k2022-09-13
DOTPolkadotPolkadot7.6647.6353-0.37%7.07-7.75%0.0454✗1.1710.0M2022-09-13
LINKChainlinkEthereum7.7587.7289-0.37%7.025-9.45%0.0233✗1.1318.0M2022-09-13
BANDBandEthereum1.3521.3469-0.38%1.244-7.99%0.0543✗1.28323k2022-09-13
RUNETHORChainTHORChain1.9351.9277-0.38%1.785-7.75%0.1025✗1.7160k2022-09-13
ALICEMy Neighbor AliceEthereum2.1712.1627-0.38%2.022-6.86%0.0661✗1.2732k2022-09-13
NAKANakamoto GamesPolygon0.06670.066444-0.38%0.0594-10.94%0.0023✓1.0579k2022-09-13
YFIyearn.financeEthereum9,751.479,713.83-0.39%9,017.07-7.53%0.0740✗1.424.1M2022-09-13
APEApeCoinEthereum5.4925.4704-0.39%5.136-6.48%0.0834✗1.406.4M2022-09-13
UNIUniswapEthereum6.6596.6328-0.39%6.034-9.39%0.0525✗1.406.9M2022-09-13
XEMNEMnative0.0467110.046524-0.40%0.042163-9.74%0.0049✓0.8928k2022-09-13
BICOBiconomyEthereum0.51290.510846-0.40%0.4865-5.15%0.0409✗0.86396k2022-09-13
API3Api3Ethereum1.8031.7957-0.41%1.68-6.82%0.0399✗1.02627k2022-09-13
FIDABonfidaSolana0.4810.479036-0.41%0.434-9.77%0.0105✗1.047,9852022-09-13
SPELLSpellEthereum0.0013230.001318-0.41%0.001236-6.57%0.0227✗0.832.2M2022-09-13
XTZTezosTezos1.65651.6496-0.42%1.5348-7.35%0.0389✗1.06241k2022-09-13
OXTOrchid ProtocolEthereum0.11410.113618-0.42%0.1076-5.70%0.0377✗0.88188k2022-09-13
RLCiExec RLCEthereum1.39761.3916-0.43%1.2429-11.07%0.0003✓1.08922k2022-09-13
KSMKusamaHydration52.2151.986-0.43%46.38-11.17%0.0064✓1.03363k2022-09-13
POKTPocket NetworkEthereum0.11440.113909-0.43%0.1104-3.50%0.0314✗0.60188k2022-09-13
OGOG Fan TokenSolana5.9485.9224-0.43%6.134+3.13%0.1024✗0.643.1M2022-09-13
XPRXPR NetworkEthereum0.0031060.003093-0.43%0.002827-8.98%0.0059✗0.911.2M2022-09-13
GMTGMTEthereum0.74190.738676-0.43%0.6606-10.96%0.0496✗1.54210k2022-09-13
GALAGALAEthereum0.05130.051076-0.44%0.0479-6.63%0.0577✗1.16178k2022-09-13
OGNOrigin TokenEthereum0.177310.176532-0.44%0.16284-8.16%0.0325✗1.08271k2022-09-13
CBETHCoinbase Wrapped Staked ETHEthereum1,615.211,608.04-0.44%1,471.37-8.91%0.0159✗1.003.3M2022-09-13
SWFTCSWFTCOINEthereum0.0016260.001619-0.45%0.001519-6.58%0.0188✗0.79374k2022-09-13
MTLMetal DAOMetal L21.2791.2732-0.46%1.152-9.93%0.0022✓0.931.1M2022-09-13
BOBABoba NetworkEthereum0.33460.33307-0.46%0.3105-7.20%0.0389✗1.0482k2022-09-13
OPTIMOptimism1.2671.2612-0.46%1.182-6.71%0.1127✗1.692.7M2022-09-13
COTICOTIEthereum0.10270.102227-0.46%0.0924-10.03%0.0052✗1.01336k2022-09-13
SOLSolanaSolana37.4637.2859-0.46%33.01-11.88%0.0063✗1.2254.5M2022-09-13
NMRNumeraireEthereum18.2318.1444-0.47%16.8-7.84%0.0211✓0.53396k2022-09-13
MEDMediblocOsmosis0.0220180.021914-0.47%0.020191-8.30%0.0170✓0.6212k2022-09-13
CITYManchester City Fan TokenSolana6.716.6779-0.48%6.47-3.58%0.0200✗0.492.1M2022-09-13
BCHBitcoin CashBitcoin Cash128.87128.2512-0.48%117.6-8.75%0.0365✗1.184.4M2022-09-13
FTTFTXEthereum28.4628.3233-0.48%25.89-9.03%0.0166✗1.026.8M2022-09-13
RADRadworksEthereum2.462.4479-0.49%2.32-5.69%0.0100✗0.61261k2022-09-13
PORPortugal National Team Fan TokenSolana4.8634.8387-0.50%4.6029-5.35%0.1064✗1.49122k2022-09-13
STXStacksnative0.38790.385909-0.51%0.3497-9.85%0.0135✗1.07314k2022-09-13
OMGOMG NetworkEthereum1.9621.9518-0.52%1.7866-8.94%0.0292✗1.1223k2022-09-13
CHZChilizEthereum0.20140.200347-0.52%0.1934-3.97%0.0678✗0.983.2M2022-09-13
AXSAxie InfinityEthereum14.2214.1444-0.53%13.18-7.31%0.0536✗1.19925k2022-09-13
FISStafiEthereum0.36270.360761-0.53%0.35-3.50%0.0803✗1.061,1592022-09-13
ALPINEAlpine F1 Team Fan TokenBinance Smart Chain4.56284.5382-0.54%4.1321-9.44%0.0295✓0.618.1M2022-09-13
AVAXAvalancheAvalanche21.3721.2547-0.54%18.87-11.70%0.0252✗1.3818.0M2022-09-13
ORCAOrcaSolana0.89480.889964-0.54%0.8463-5.42%0.1138✗1.5789k2022-09-13
MINAMina Protocolnative0.670.666225-0.56%0.61-8.96%0.0234✗1.07111k2022-09-13
METISMetisEthereum29.9329.7603-0.57%27.9-6.78%0.1098✗1.66159k2022-09-13
NEXONEXOEthereum0.970.964464-0.57%0.913-5.88%0.0696✗1.191.5M2022-09-13
BORABORAKlay Token0.29430.292598-0.58%0.26692-9.30%0.0028✓0.9015k2022-09-13
CWEBCoinwebEthereum0.0240350.023896-0.58%0.024692+2.73%0.0421✗0.09465k2022-09-13
XECeCashnative0.000045970.000045702-0.58%0.00004395-4.39%0.0531✗0.883.0M2022-09-13
ZRX0x ProtocolEthereum0.320430.318529-0.59%0.289387-9.69%0.0073✗0.99471k2022-09-13
ETCEthereum Classicnative38.4538.2163-0.61%35.29-8.22%0.0853✗1.5810.6M2022-09-13
IMXImmutableEthereum0.86380.858547-0.61%0.8066-6.62%0.0606✗1.17946k2022-09-13
XYOXYO NetworkEthereum0.008330.008278-0.62%0.00796-4.44%0.0840✗1.18428k2022-09-13
ENSEthereum Name ServiceEthereum15.1215.0253-0.63%14.53-3.90%0.0713✗1.001.8M2022-09-13
NEARNEAR ProtocolNEAR5.0935.0608-0.63%4.418-13.25%0.0311✓1.001.4M2022-09-13
CTSICartesiEthereum0.15470.153693-0.65%0.1444-6.66%0.0436✗1.01336k2022-09-13
EWTEnergy Web TokenEthereum4.5244.4943-0.66%4.212-6.90%0.0338✗0.94273k2022-09-13
BARFC Barcelona Fan TokenSolana6.386.3376-0.67%6.12-4.08%0.0200✗0.522.1M2022-09-13
POWRPowerledgerEthereum0.23460.233021-0.67%0.2085-11.13%0.0172✓0.9057k2022-09-13
XVGVergenative0.003570.003545-0.69%0.00337-5.60%0.0529✗0.99483k2022-09-13
GTCGitcoinEthereum2.192.1745-0.71%2.03-7.31%0.0647✗1.27227k2022-09-13
ATOMCosmos HubCosmos15.5315.42-0.71%13.897-10.52%0.0302✗1.2819.6M2022-09-13
CTKShentuOsmosis1.011.0028-0.71%0.921-8.81%0.0423✓0.412.7M2022-09-13
GLMRMoonbeamBase0.5690.564937-0.71%0.52-8.61%0.0370✗1.1466k2022-09-13
LRCLoopringEthereum0.35140.348869-0.72%0.3308-5.86%0.0695✗1.1772k2022-09-13
SANTOSSantos FC Fan TokenBinance Smart Chain12.3412.2479-0.75%12.092-2.01%0.0265✗0.3816.0M2022-09-13
HIGHHighstreetEthereum1.5341.5224-0.76%1.455-5.15%0.0726✗1.1371k2022-09-13
UOSUltraEthereum0.440280.436781-0.79%0.42001-4.60%0.0637✗0.98379k2022-09-13
FLOWFlownative2.1022.0849-0.81%1.864-11.32%0.0365✗1.42967k2022-09-13
CELRCeler NetworkEthereum0.0184890.018337-0.82%0.017211-6.91%0.0414✗1.009912022-09-13
ASTRAstarEthereum0.03990.03957-0.83%0.0403+1.00%0.1113✗0.899,1922022-09-13
PORTOFC PortoBinance Smart Chain7.00496.9468-0.83%6.58-6.07%0.0437✓0.109.1M2022-09-13
DYDXdYdXCosmos1.5631.5495-0.86%1.41-9.79%0.0340✗1.2343k2022-09-13
LAZIOLazio Fan TokenBinance Smart Chain7.66047.588-0.94%7.2349-5.55%0.0214✓0.2511.9M2022-09-13
ROSEOasisBinance Smart Chain0.064740.064113-0.97%0.05951-8.08%0.0563✗1.251.2M2022-09-13
MASKMask NetworkEthereum1.411.396-0.99%1.3-7.80%0.0398✗1.0668k2022-09-13
FILFilecoinFilecoin6.5566.4897-1.01%5.871-10.45%0.0013✓0.976.2M2022-09-13
BRISEBitgertEthereum7.49e-77.41e-7-1.01%6.96e-7-7.05%0.0284✗0.872.3M2022-09-13
GRTThe GraphEthereum0.12860.127278-1.03%0.1082-15.86%0.0312✓1.252.5M2022-09-13
ADXheyAuraEthereum0.172560.170704-1.08%0.16738-3.00%0.0601✗0.765152022-09-13
PONDMarlinEthereum0.0120040.011867-1.14%0.010998-8.38%0.0287✗1.006492022-09-13
LUNATerraTerra 20.00030.000294997-1.67%0.00035806+19.35%0.2219✗0.272.3M2022-09-13
ALEPHAleph CloudEthereum0.19160.18708-2.36%0.1365-28.76%0.3006✓0.1483k2022-09-13
AERGOAergo [OLD]Ethereum0.21640.21121-2.40%0.1963-9.29%0.0052✓0.7526k2022-09-13
GLMGolemEthereum0.40930.397007-3.00%0.3444-15.86%0.0570✓0.8189k2022-09-13
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.