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6mlwf_BrokerageCommissionsPerUnitmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truefalsefalse-0.0005-0.0005USD$falsetruefalse2truefalsefalse-0.0007-0.0007USD$falsetruefalse3truefalsefalse-0.0011-0.0011USD$falsetruefalse4truefalsefalse-0.0012-0.0012USD$falsetruefalse5truefalsefalse-0.0005-0.0005USD$falsetruefalse6truefalsefalse-0.0006-0.0006USD$falsetruefalse7truefalsefalse-0.0011-0.0011USD$falsetruefalse8truefalsefalse-0.0011-0.0011USD$falsetruefalse9truefalsefalse-0.0006-0.0006USD$falsetruefalse10truefalsefalse-0.0007-0.0007USD$falsetruefalse11truefalsefalse-0.0012-0.0012USD$falsetruefalse12truefalsefalse-0.0012-0.0012USD$falsetruefalse13truefalsefalse-0.0006-0.0006USD$falsetruefalse14truefalsefalse-0.0007-0.0007USD$falsetruefalse15truefalsefalse-0.0012-0.0012USD$falsetruefalse16truefalsefalse-0.0012-0.0012USD$falsetruefalse17truefalsefalse-0.0006-0.0006USD$falsetruefalse18truefalsefalse-0.0007-0.0007USD$falsetruefalse19truefalsefalse-0.0012-0.0012USD$falsetruefalse20truefalsefalse-0.0012-0.0012USD$falsetruefalse21truefalsefalse-0.0006-0.0006USD$falsetruefalse22truefalsefalse-0.0007-0.0007USD$falsetruefalse23truefalsefalse-0.0012-0.0012USD$falsetruefalse24truefalsefalse-0.0013-0.0013USD$falsetruefalse25truefalsefalse-0.0003-0.0003USD$falsetruefalse26truefalsefalse-0.0004-0.0004USD$falsetruefalse27truefalsefalse-0.0005-0.0005[1]USD$falsetruefalse28truefalsefalse-0.0007-0.0007USD$falsetruefalse29truefalsefalse-0.0002-0.0002[2]USD$falsetruefalse30falsefalsefalse00falsefalsefalse31falsefalsefalse00falsefalsefalse32truefalsefalse-0.0001-0.0001[3]USD$falsetruefalse33falsefalsefalse00falsefalsefalse34falsefalsefalse00falsefalsefalsenum:perShareItemTypedecimalThis element represents the impact of brokerage commissions on the calculation of net asset value per unit during the reporting period.No definition available.false3Brokerage commissions5false 6mlwf_InterestIncomePerUnitmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truefalsefalse-0.0001-0.0001USD$falsetruefalse2truefalsefalse-0.0001-0.0001USD$falsetruefalse3truefalsefalse-0.0002-0.0002USD$falsetruefalse4truefalsefalse-0.0002-0.0002USD$falsetruefalse5truefalsefalse-0.0001-0.0001USD$falsetruefalse6truefalsefalse-0.0001-0.0001USD$falsetruefalse7truefalsefalse-0.0002-0.0002USD$falsetruefalse8truefalsefalse-0.0001-0.0001USD$falsetruefalse9truefalsefalse-0.0001-0.0001USD$falsetruefalse10truefalsefalse-0.0001-0.0001USD$falsetruefalse11truefalsefalse-0.0002-0.0002USD$falsetruefalse12truefalsefalse-0.0002-0.0002USD$falsetruefalse13truefalsefalse-0.0001-0.0001USD$falsetruefalse14truefalsefalse-0.0001-0.0001USD$falsetruefalse15truefalsefalse-0.0002-0.0002USD$falsetruefalse16truefalsefalse-0.0002-0.0002USD$falsetruefalse17truefalsefalse-0.0001-0.0001USD$falsetruefalse18truefalsefalse-0.0001-0.0001USD$falsetruefalse19truefalsefalse-0.0002-0.0002USD$falsetruefalse20truefalsefalse-0.0002-0.0002USD$falsetruefalse21truefalsefalse-0.0001-0.0001USD$falsetruefalse22truefalsefalse-0.0001-0.0001USD$falsetruefalse23truefalsefalse-0.0002-0.0002USD$falsetruefalse24truefalsefalse-0.0002-0.0002USD$falsetruefalse25truefalsefalse-0.0001-0.0001USD$falsetruefalse26truefalsefalse-0.0001-0.0001USD$falsetruefalse27truefalsefalse-0.0001-0.0001[1]USD$falsetruefalse28truefalsefalse-0.0001-0.0001USD$falsetruefalse29truefalsefalse0.00000.0000[2]USD$falsetruefalse30falsefalsefalse00falsefalsefalse31falsefalsefalse00falsefalsefalse32truefalsefalse0.00000.0000[3]USD$falsetruefalse33falsefalsefalse00falsefalsefalse34falsefalsefalse00falsefalsefalsenum:perShareItemTypedecimalThis element represents the impact of interest income on the calculation of net asset value per unit during the reporting period.No definition available.false3Interest income, net6false 6mlwf_ExpensesPerUnitmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truefalsefalse-0.0161-0.0161USD$falsetruefalse2truefalsefalse-0.0156-0.0156USD$falsetruefalse3truefalsefalse-0.0317-0.0317USD$falsetruefalse4truefalsefalse-0.0315-0.0315USD$falsetruefalse5truefalsefalse-0.0187-0.0187USD$falsetruefalse6truefalsefalse-0.0184-0.0184USD$falsetruefalse7truefalsefalse-0.0372-0.0372USD$falsetruefalse8truefalsefalse-0.0374-0.0374USD$falsetruefalse9truefalsefalse-0.0098-0.0098USD$falsetruefalse10truefalsefalse-0.0094-0.0094USD$falsetruefalse11truefalsefalse-0.0195-0.0195USD$falsetruefalse12truefalsefalse-0.0190-0.0190USD$falsetruefalse13truefalsefalse-0.0145-0.0145USD$falsetruefalse14truefalsefalse-0.0141-0.0141USD$falsetruefalse15truefalsefalse-0.0288-0.0288USD$falsetruefalse16truefalsefalse-0.0286-0.0286USD$falsetruefalse17truefalsefalse-0.0098-0.0098USD$falsetruefalse18truefalsefalse-0.0094-0.0094USD$falsetruefalse19truefalsefalse-0.0196-0.0196USD$falsetruefalse20truefalsefalse-0.0190-0.0190USD$falsetruefalse21truefalsefalse-0.0078-0.0078USD$falsetruefalse22truefalsefalse-0.0076-0.0076USD$falsetruefalse23truefalsefalse-0.0160-0.0160USD$falsetruefalse24truefalsefalse-0.0153-0.0153USD$falsetruefalse25truefalsefalse-0.0056-0.0056USD$falsetruefalse26truefalsefalse-0.0052-0.0052USD$falsetruefalse27truefalsefalse-0.0070-0.0070[1]USD$falsetruefalse28truefalsefalse-0.0111-0.0111USD$falsetruefalse29truefalsefalse0.00580.0058[2]USD$falsetruefalse30falsefalsefalse00falsefalsefalse31falsefalsefalse00falsefalsefalse32truefalsefalse0.00010.0001[3]USD$falsetruefalse33falsefalsefalse00falsefalsefalse34falsefalsefalse00falsefalsefalsenum:perShareItemTypedecimalThis element represents the impact of expenses like management fees, sponsor and advisory fees on the calculation of net asset value per unit during the reporting period.No definition available.false3Expenses7false 6mlwf_NetAssetValuePerUnitmlwf_falsenainstantfalsefalsefalsefalsefalsefalsetruefalseperiodEndLabel1truefalsefalse1.67491.6749USD$falsetruefalse2truefalsefalse1.65451.6545USD$falsetruefalse3truefalsefalse1.67491.6749USD$falsetruefalse4truefalsefalse1.65451.6545USD$falsetruefalse5truefalsefalse1.54131.5413USD$falsetruefalse6truefalsefalse1.53791.5379USD$falsetruefalse7truefalsefalse1.54131.5413USD$falsetruefalse8truefalsefalse1.53791.5379USD$falsetruefalse9truefalsefalse1.75081.7508USD$falsetruefalse10truefalsefalse1.70371.7037USD$falsetruefalse11truefalsefalse1.75081.7508USD$falsetruefalse12truefalsefalse1.70371.7037USD$falsetruefalse13truefalsefalse1.71871.7187USD$falsetruefalse14truefalsefalse1.69101.6910USD$falsetruefalse15truefalsefalse1.71871.7187USD$falsetruefalse16truefalsefalse1.69101.6910USD$falsetruefalse17truefalsefalse1.74861.7486USD$falsetruefalse18truefalsefalse1.70161.7016USD$falsetruefalse19truefalsefalse1.74861.7486USD$falsetruefalse20truefalsefalse1.70161.7016USD$falsetruefalse21truefalsefalse1.84131.8413USD$falsetruefalse22truefalsefalse1.78291.7829USD$falsetruefalse23truefalsefalse1.84131.8413USD$falsetruefalse24truefalsefalse1.78291.7829USD$falsetruefalse25truefalsefalse0.98370.9837USD$falsetruefalse26truefalsefalse0.95730.9573[1]USD$falsetruefalse27truefalsefalse0.95730.9573[1]USD$falsetruefalse28truefalsefalse0.98370.9837USD$falsetruefalse29truefalsefalse0.95250.9525[2]USD$falsetruefalse30truefalsefalse0.95250.9525[2]USD$falsetruefalse31truefalsefalse0.95250.9525[2]USD$falsetruefalse32truefalsefalse0.97590.9759[3]USD$falsetruefalse33truefalsefalse0.97590.9759[3]USD$falsetruefalse34truefalsefalse0.97590.9759[3]USD$falsetruefalsenum:perShareItemTypedecimalThis element represents the net asset value per share which is equivalent in concept to member equity per share or partners capital per share.No definition available.false3Net asset value, end of period8true 5mlwf_TotalReturnsAbstractmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsefalsefalse00falsefalsefalse2falsefalsefalse00falsefalsefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalse5falsefalsefalse00falsefalsefalse6falsefalsefalse00falsefalsefalse7falsefalsefalse00falsefalsefalse8falsefalsefalse00falsefalsefalse9falsefalsefalse00falsefalsefalse10falsefalsefalse00falsefalsefalse11falsefalsefalse00falsefalsefalse12falsefalsefalse00falsefalsefalse13falsefalsefalse00falsefalsefalse14falsefalsefalse00falsefalsefalse15falsefalsefalse00falsefalsefalse16falsefalsefalse00falsefalsefalse17falsefalsefalse00falsefalsefalse18falsefalsefalse00falsefalsefalse19falsefalsefalse00falsefalsefalse20falsefalsefalse00falsefalsefalse21falsefalsefalse00falsefalsefalse22falsefalsefalse00falsefalsefalse23falsefalsefalse00falsefalsefalse24falsefalsefalse00falsefalsefalse25falsefalsefalse00falsefalsefalse26falsefalsefalse00falsefalsefalse27falsefalsefalse00falsefalsefalse28falsefalsefalse00falsefalsefalse29falsefalsefalse00falsefalsefalse30falsefalsefalse00falsefalsefalse31falsefalsefalse00falsefalsefalse32falsefalsefalse00falsefalsefalse33falsefalsefalse00falsefalsefalse34falsefalsefalse00falsefalsefalsexbrli:stringItemTypestringfalse0Total Return:9false 6mlwf_TotalReturnBeforePerformanceFeesPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse-0.0196-0.0196[4]falsefalsefalse2truetruefalse-0.0390-0.0390[4]falsefalsefalse3truetruefalse0.01630.0163[4]falsefalsefalse4truetruefalse-0.0543-0.0543[4]falsefalsefalse5truetruefalse-0.0220-0.0220[4]falsefalsefalse6truetruefalse-0.0414-0.0414[4]falsefalsefalse7truetruefalse0.01120.0112[4]falsefalsefalse8truetruefalse-0.0591-0.0591[4]falsefalsefalse9truetruefalse-0.0159-0.0159[4]falsefalsefalse10truetruefalse-0.0354-0.0354[4]falsefalsefalse11truetruefalse0.02390.0239[4]falsefalsefalse12truetruefalse-0.0472-0.0472[4]falsefalsefalse13truetruefalse-0.0186-0.0186[4]falsefalsefalse14truetruefalse-0.0380-0.0380[4]falsefalsefalse15truetruefalse0.01830.0183[4]falsefalsefalse16truetruefalse-0.0525-0.0525[4]falsefalsefalse17truetruefalse-0.0159-0.0159[4]falsefalsefalse18truetruefalse-0.0354-0.0354[4]falsefalsefalse19truetruefalse0.02390.0239[4]falsefalsefalse20truetruefalse-0.0472-0.0472[4]falsefalsefalse21truetruefalse-0.0146-0.0146[4]falsefalsefalse22truetruefalse-0.0342-0.0342[4]falsefalsefalse23truetruefalse0.02650.0265[4]falsefalsefalse24truetruefalse-0.0448-0.0448[4]falsefalsefalse25truetruefalse-0.0159-0.0159[4]falsefalsefalse26truetruefalse-0.0354-0.0354[4]falsefalsefalse27truetruefalse-0.0427-0.0427[1],[4]falsefalsefalse28truetruefalse0.02390.0239[4]falsefalsefalse29truetruefalse-0.0546-0.0546[2],[4]falsefalsefalse30falsetruefalse00falsefalsefalse31falsetruefalse00falsefalsefalse32truetruefalse-0.0253-0.0253[3],[4]falsefalsefalse33falsetruefalse00falsefalsefalse34falsetruefalse00falsefalsefalsenum:percentItemTypepureThis element represents total returns before performance fees calculated on the basis of compounded monthly returns and calculated for each class taken as a whole.No definition available.false0Total return before Performance fees (as a percent)10false 6mlwf_PerformanceFeesPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsetruefalse00falsefalsefalse2truetruefalse0.00000.0000[4]falsefalsefalse3truetruefalse-0.0002-0.0002[4]falsefalsefalse4truetruefalse0.00000.0000[4]falsefalsefalse5falsetruefalse00falsefalsefalse6truetruefalse0.00000.0000[4]falsefalsefalse7truetruefalse-0.0002-0.0002[4]falsefalsefalse8truetruefalse0.00000.0000[4]falsefalsefalse9falsetruefalse00falsefalsefalse10truetruefalse0.00000.0000[4]falsefalsefalse11truetruefalse-0.0002-0.0002[4]falsefalsefalse12truetruefalse0.00000.0000[4]falsefalsefalse13falsetruefalse00falsefalsefalse14truetruefalse0.00000.0000[4]falsefalsefalse15truetruefalse-0.0002-0.0002[4]falsefalsefalse16truetruefalse0.00000.0000[4]falsefalsefalse17falsetruefalse00falsefalsefalse18truetruefalse0.00000.0000[4]falsefalsefalse19truetruefalse-0.0002-0.0002[4]falsefalsefalse20truetruefalse0.00000.0000[4]falsefalsefalse21falsetruefalse00falsefalsefalse22truetruefalse0.00000.0000[4]falsefalsefalse23truetruefalse-0.0002-0.0002[4]falsefalsefalse24truetruefalse0.00000.0000[4]falsefalsefalse25falsetruefalse00falsefalsefalse26truetruefalse0.00000.0000[4]falsefalsefalse27truetruefalse0.00000.0000[1],[4]falsefalsefalse28truetruefalse-0.0002-0.0002[4]falsefalsefalse29falsetruefalse00falsefalsefalse30falsetruefalse00falsefalsefalse31falsetruefalse00falsefalsefalse32falsetruefalse00falsefalsefalse33falsetruefalse00falsefalsefalse34falsetruefalse00falsefalsefalsenum:percentItemTypepureThis element represents total returns affected due to performance fees calculated on the basis of compounded monthly returns and calculated for each class taken as a whole.No definition available.false0Performance fees (as a percent)11false 6mlwf_PerformanceFeesAndOtherAsPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse-0.0002-0.0002[4],[5]falsefalsefalse2falsetruefalse00falsefalsefalse3falsetruefalse00falsefalsefalse4falsetruefalse00falsefalsefalse5truetruefalse-0.0002-0.0002[4],[5]falsefalsefalse6falsetruefalse00falsefalsefalse7falsetruefalse00falsefalsefalse8falsetruefalse00falsefalsefalse9truetruefalse-0.0002-0.0002[4],[5]falsefalsefalse10falsetruefalse00falsefalsefalse11falsetruefalse00falsefalsefalse12falsetruefalse00falsefalsefalse13truetruefalse-0.0002-0.0002[4],[5]falsefalsefalse14falsetruefalse00falsefalsefalse15falsetruefalse00falsefalsefalse16falsetruefalse00falsefalsefalse17truetruefalse-0.0002-0.0002[4],[5]falsefalsefalse18falsetruefalse00falsefalsefalse19falsetruefalse00falsefalsefalse20falsetruefalse00falsefalsefalse21truetruefalse0.00000.0000[4],[5]falsefalsefalse22falsetruefalse00falsefalsefalse23falsetruefalse00falsefalsefalse24falsetruefalse00falsefalsefalse25truetruefalse-0.0002-0.0002[4],[5]falsefalsefalse26falsetruefalse00falsefalsefalse27falsetruefalse00falsefalsefalse28falsetruefalse00falsefalsefalse29truetruefalse0.00720.0072[4],[5]falsefalsefalse30falsetruefalse00falsefalsefalse31falsetruefalse00falsefalsefalse32truetruefalse0.00120.0012[4],[5]falsefalsefalse33falsetruefalse00falsefalsefalse34falsetruefalse00falsefalsefalsenum:percentItemTypepureThis element represents total returns affected due to performance and other fees expressed as a percentage, calculated on the basis of compounded monthly returns and calculated for each class taken as a whole.No definition available.false0Performance fees/other (as a percent)12false 6mlwf_TotalReturnAfterPerformanceFeesPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalsetotalLabel1truetruefalse-0.0198-0.0198[4]falsefalsefalse2truetruefalse-0.0390-0.0390[4]falsefalsefalse3truetruefalse0.01610.0161[4]falsefalsefalse4truetruefalse-0.0543-0.0543[4]falsefalsefalse5truetruefalse-0.0222-0.0222[4]falsefalsefalse6truetruefalse-0.0414-0.0414[4]falsefalsefalse7truetruefalse0.01100.0110[4]falsefalsefalse8truetruefalse-0.0591-0.0591[4]falsefalsefalse9truetruefalse-0.0161-0.0161[4]falsefalsefalse10truetruefalse-0.0354-0.0354[4]falsefalsefalse11truetruefalse0.02370.0237[4]falsefalsefalse12truetruefalse-0.0472-0.0472[4]falsefalsefalse13truetruefalse-0.0188-0.0188[4]falsefalsefalse14truetruefalse-0.0380-0.0380[4]falsefalsefalse15truetruefalse0.01810.0181[4]falsefalsefalse16truetruefalse-0.0525-0.0525[4]falsefalsefalse17truetruefalse-0.0161-0.0161[4]falsefalsefalse18truetruefalse-0.0354-0.0354[4]falsefalsefalse19truetruefalse0.02370.0237[4]falsefalsefalse20truetruefalse-0.0472-0.0472[4]falsefalsefalse21truetruefalse-0.0146-0.0146[4]falsefalsefalse22truetruefalse-0.0342-0.0342[4]falsefalsefalse23truetruefalse0.02630.0263[4]falsefalsefalse24truetruefalse-0.0448-0.0448[4]falsefalsefalse25truetruefalse-0.0161-0.0161[4]falsefalsefalse26truetruefalse-0.0354-0.0354[4]falsefalsefalse27truetruefalse-0.0427-0.0427[1],[4]falsefalsefalse28truetruefalse0.02370.0237[4]falsefalsefalse29truetruefalse-0.0474-0.0474[2],[4]falsefalsefalse30falsetruefalse00falsefalsefalse31falsetruefalse00falsefalsefalse32truetruefalse-0.0241-0.0241[3],[4]falsefalsefalse33falsetruefalse00falsefalsefalse34falsetruefalse00falsefalsefalsenum:percentItemTypepureThis element represents total returns after performance fees calculated on the basis of compounded monthly returns and calculated for each class taken as a whole.No definition available.true0Total return after Performance fees (as a percent)13true 5mlwf_RatiosToAverageMembersCapitalAbstractmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsefalsefalse00falsefalsefalse2falsefalsefalse00falsefalsefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalse5falsefalsefalse00falsefalsefalse6falsefalsefalse00falsefalsefalse7falsefalsefalse00falsefalsefalse8falsefalsefalse00falsefalsefalse9falsefalsefalse00falsefalsefalse10falsefalsefalse00falsefalsefalse11falsefalsefalse00falsefalsefalse12falsefalsefalse00falsefalsefalse13falsefalsefalse00falsefalsefalse14falsefalsefalse00falsefalsefalse15falsefalsefalse00falsefalsefalse16falsefalsefalse00falsefalsefalse17falsefalsefalse00falsefalsefalse18falsefalsefalse00falsefalsefalse19falsefalsefalse00falsefalsefalse20falsefalsefalse00falsefalsefalse21falsefalsefalse00falsefalsefalse22falsefalsefalse00falsefalsefalse23falsefalsefalse00falsefalsefalse24falsefalsefalse00falsefalsefalse25falsefalsefalse00falsefalsefalse26falsefalsefalse00falsefalsefalse27falsefalsefalse00falsefalsefalse28falsefalsefalse00falsefalsefalse29falsefalsefalse00falsefalsefalse30falsefalsefalse00falsefalsefalse31falsefalsefalse00falsefalsefalse32falsefalsefalse00falsefalsefalse33falsefalsefalse00falsefalsefalse34falsefalsefalse00falsefalsefalsexbrli:stringItemTypestringfalse0Ratios to Average Member's Capital:14false 6mlwf_ExpensesExcludingPerformanceFeesToAverageMembersCapitalPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse0.00930.0093[6]falsefalsefalse2truetruefalse0.00910.0091[6]falsefalsefalse3truetruefalse0.01870.0187[6]falsefalsefalse4truetruefalse0.01820.0182[6]falsefalsefalse5truetruefalse0.01180.0118[6]falsefalsefalse6truetruefalse0.01160.0116[6]falsefalsefalse7truetruefalse0.02370.0237[6]falsefalsefalse8truetruefalse0.02320.0232[6]falsefalsefalse9truetruefalse0.00550.0055[6]falsefalsefalse10truetruefalse0.00540.0054[6]falsefalsefalse11truetruefalse0.01120.0112[6]falsefalsefalse12truetruefalse0.01070.0107[6]falsefalsefalse13truetruefalse0.00830.0083[6]falsefalsefalse14truetruefalse0.00810.0081[6]falsefalsefalse15truetruefalse0.01670.0167[6]falsefalsefalse16truetruefalse0.01620.0162[6]falsefalsefalse17truetruefalse0.00550.0055[6]falsefalsefalse18truetruefalse0.00540.0054[6]falsefalsefalse19truetruefalse0.01120.0112[6]falsefalsefalse20truetruefalse0.01070.0107[6]falsefalsefalse21truetruefalse0.00430.0043[6]falsefalsefalse22truetruefalse0.00410.0041[6]falsefalsefalse23truetruefalse0.00870.0087[6]falsefalsefalse24truetruefalse0.00820.0082[6]falsefalsefalse25truetruefalse0.00550.0055[6]falsefalsefalse26truetruefalse0.00540.0054[6]falsefalsefalse27truetruefalse0.00720.0072[1],[6]falsefalsefalse28truetruefalse0.01120.0112[6]falsefalsefalse29falsetruefalse00falsefalsefalse30truetruefalse0.00300.0030[2],[6]falsefalsefalse31truetruefalse0.00590.0059[2],[6]falsefalsefalse32falsetruefalse00falsefalsefalse33truetruefalse0.00300.0030[3],[6]falsefalsefalse34truetruefalse0.00590.0059[3],[6]falsefalsefalsenum:percentItemTypepureThis element represents the ratio of expenses to average members' capital without considering the impact of performance fees.No definition available.false0Expenses (excluding Performance fees) (as a percent)15false 6mlwf_PerformanceFeesToAverageMembersCapitalPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse0.00000.0000[6]falsefalsefalse2truetruefalse0.00000.0000[6]falsefalsefalse3truetruefalse0.00000.0000[6]falsefalsefalse4truetruefalse0.00000.0000[6]falsefalsefalse5truetruefalse0.00000.0000[6]falsefalsefalse6truetruefalse0.00000.0000[6]falsefalsefalse7truetruefalse0.00000.0000[6]falsefalsefalse8truetruefalse0.00000.0000[6]falsefalsefalse9truetruefalse0.00000.0000[6]falsefalsefalse10truetruefalse0.00000.0000[6]falsefalsefalse11truetruefalse0.00000.0000[6]falsefalsefalse12truetruefalse0.00000.0000[6]falsefalsefalse13truetruefalse0.00000.0000[6]falsefalsefalse14truetruefalse0.00000.0000[6]falsefalsefalse15truetruefalse0.00000.0000[6]falsefalsefalse16truetruefalse0.00000.0000[6]falsefalsefalse17truetruefalse0.00000.0000[6]falsefalsefalse18truetruefalse0.00000.0000[6]falsefalsefalse19truetruefalse0.00000.0000[6]falsefalsefalse20truetruefalse0.00000.0000[6]falsefalsefalse21truetruefalse-0.0002-0.0002[6]falsefalsefalse22truetruefalse0.00000.0000[6]falsefalsefalse23truetruefalse0.00000.0000[6]falsefalsefalse24truetruefalse0.00000.0000[6]falsefalsefalse25truetruefalse0.00000.0000[6]falsefalsefalse26truetruefalse0.00000.0000[6]falsefalsefalse27truetruefalse0.00000.0000[1],[6]falsefalsefalse28truetruefalse0.00000.0000[6]falsefalsefalse29falsetruefalse00falsefalsefalse30truetruefalse-0.0073-0.0073[2],[6]falsefalsefalse31truetruefalse-0.0073-0.0073[2],[6]falsefalsefalse32falsetruefalse00falsefalsefalse33truetruefalse-0.0012-0.0012[3],[6]falsefalsefalse34truetruefalse-0.0012-0.0012[3],[6]falsefalsefalsenum:percentItemTypepureThis element represents the ratio of performance fees to average members' capital.No definition available.false0Performance fees (as a percent)16false 6mlwf_ExpensesIncludingPerformanceFeesToAverageMembersCapitalPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalsetotalLabel1truetruefalse0.00930.0093[6]falsefalsefalse2truetruefalse0.00910.0091[6]falsefalsefalse3truetruefalse0.01870.0187[6]falsefalsefalse4truetruefalse0.01820.0182[6]falsefalsefalse5truetruefalse0.01180.0118[6]falsefalsefalse6truetruefalse0.01160.0116[6]falsefalsefalse7truetruefalse0.02370.0237[6]falsefalsefalse8truetruefalse0.02320.0232[6]falsefalsefalse9truetruefalse0.00550.0055[6]falsefalsefalse10truetruefalse0.00540.0054[6]falsefalsefalse11truetruefalse0.01120.0112[6]falsefalsefalse12truetruefalse0.01070.0107[6]falsefalsefalse13truetruefalse0.00830.0083[6]falsefalsefalse14truetruefalse0.00810.0081[6]falsefalsefalse15truetruefalse0.01670.0167[6]falsefalsefalse16truetruefalse0.01620.0162[6]falsefalsefalse17truetruefalse0.00550.0055[6]falsefalsefalse18truetruefalse0.00540.0054[6]falsefalsefalse19truetruefalse0.01120.0112[6]falsefalsefalse20truetruefalse0.01070.0107[6]falsefalsefalse21truetruefalse0.00410.0041[6]falsefalsefalse22truetruefalse0.00410.0041[6]falsefalsefalse23truetruefalse0.00870.0087[6]falsefalsefalse24truetruefalse0.00820.0082[6]falsefalsefalse25truetruefalse0.00550.0055[6]falsefalsefalse26truetruefalse0.00540.0054[6]falsefalsefalse27truetruefalse0.00720.0072[1],[6]falsefalsefalse28truetruefalse0.01120.0112[6]falsefalsefalse29falsetruefalse00falsefalsefalse30truetruefalse-0.0043-0.0043[2],[6]falsefalsefalse31truetruefalse-0.0014-0.0014[2],[6]falsefalsefalse32falsetruefalse00falsefalsefalse33truetruefalse0.00180.0018[3],[6]falsefalsefalse34truetruefalse0.00470.0047[3],[6]falsefalsefalsenum:percentItemTypepureThis element represents the ratio of expenses after including the impact of performance fees to average members' capital.No definition available.true0Expenses (including Performance fees) (as a percent)17false 6mlwf_NetInvestmentIncomeLossPerUnitPercentmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse-0.0093-0.0093[6]falsefalsefalse2truetruefalse-0.0092-0.0092[6]falsefalsefalse3truetruefalse-0.0187-0.0187[6]falsefalsefalse4truetruefalse-0.0183-0.0183[6]falsefalsefalse5truetruefalse-0.0118-0.0118[6]falsefalsefalse6truetruefalse-0.0117-0.0117[6]falsefalsefalse7truetruefalse-0.0237-0.0237[6]falsefalsefalse8truetruefalse-0.0233-0.0233[6]falsefalsefalse9truetruefalse-0.0056-0.0056[6]falsefalsefalse10truetruefalse-0.0054-0.0054[6]falsefalsefalse11truetruefalse-0.0112-0.0112[6]falsefalsefalse12truetruefalse-0.0108-0.0108[6]falsefalsefalse13truetruefalse-0.0083-0.0083[6]falsefalsefalse14truetruefalse-0.0082-0.0082[6]falsefalsefalse15truetruefalse-0.0167-0.0167[6]falsefalsefalse16truetruefalse-0.0163-0.0163[6]falsefalsefalse17truetruefalse-0.0056-0.0056[6]falsefalsefalse18truetruefalse-0.0054-0.0054[6]falsefalsefalse19truetruefalse-0.0112-0.0112[6]falsefalsefalse20truetruefalse-0.0108-0.0108[6]falsefalsefalse21truetruefalse-0.0041-0.0041[6]falsefalsefalse22truetruefalse-0.0042-0.0042[6]falsefalsefalse23truetruefalse-0.0087-0.0087[6]falsefalsefalse24truetruefalse-0.0083-0.0083[6]falsefalsefalse25truetruefalse-0.0056-0.0056[6]falsefalsefalse26truetruefalse-0.0054-0.0054[6]falsefalsefalse27truetruefalse-0.0072-0.0072[1],[6]falsefalsefalse28truetruefalse-0.0112-0.0112[6]falsefalsefalse29falsetruefalse00falsefalsefalse30truetruefalse0.00430.0043[2],[6]falsefalsefalse31truetruefalse0.00120.0012[2],[6]falsefalsefalse32falsetruefalse00falsefalsefalse33truetruefalse-0.0018-0.0018[3],[6]falsefalsefalse34truetruefalse-0.0049-0.0049[3],[6]falsefalsefalsenum:percentItemTypepureThis element represents the ratio of net investment income to average members' capital captured as a percentage.No definition available.false0Net investment income (loss) (as a percent)1Units issued on March 1, 20122Units issued on May 16, 20133Units issued on June 1, 20134The total return calculations are based on compounded monthly returns and are calculated for each class taken as a whole. An individual members' return may vary from these returns based on timing of capital transactions.5Performance fees include reimbursement of performance fees allocated to the share classes in accordance with offering documents.6The ratios to average member capital have been annualized. The performance fee ratios are not annualized.falseFINANCIAL DATA HIGHLIGHTS (USD $)UnKnownUnKnownNoRoundingUnKnowntruefalsefalseSheethttp://www.mlwf.ml.com/role/StatementOfFinancialDataHighlights3417