2.4.0.84010 - Disclosure - SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES (Details)truefalseIn Millions, except Per Share data, unless otherwise specifiedfalse1false truefalseD2013Q2YTD_MembersInterestClassFAndClassF1Memberhttp://www.sec.gov/CIK0001309136duration2013-01-01T00:00:002013-06-30T00:00:00falsefalseNew Classesus-gaap_PartnerTypeOfPartnersCapitalAccountAxisxbrldihttp://xbrl.org/2006/xbrldimlwf_MembersInterestClassFAndClassF1Memberus-gaap_PartnerTypeOfPartnersCapitalAccountAxisexplicitMemberPureStandardhttp://www.xbrl.org/2003/instancepurexbrli02false USDtruefalse$I2013Q2_MembersInterestClassFAndClassF1Member_MinimumMemberhttp://www.sec.gov/CIK0001309136instant2013-06-30T00:00:000001-01-01T00:00:00falsefalseNew Classesus-gaap_PartnerTypeOfPartnersCapitalAccountAxisxbrldihttp://xbrl.org/2006/xbrldimlwf_MembersInterestClassFAndClassF1Memberus-gaap_PartnerTypeOfPartnersCapitalAccountAxisexplicitMemberfalsefalseMinimumus-gaap_RangeAxisxbrldihttp://xbrl.org/2006/xbrldius-gaap_MinimumMemberus-gaap_RangeAxisexplicitMemberUSDStandardhttp://www.xbrl.org/2003/iso4217USDiso42170USDUSD$3false USDtruefalse$I2013Q2_M0516_MembersInterestClassFMemberhttp://www.sec.gov/CIK0001309136instant2013-05-16T00:00:000001-01-01T00:00:00falsefalseClass Fus-gaap_PartnerTypeOfPartnersCapitalAccountAxisxbrldihttp://xbrl.org/2006/xbrldimlwf_MembersInterestClassFMemberus-gaap_PartnerTypeOfPartnersCapitalAccountAxisexplicitMemberUSDPerShareDividehttp://www.xbrl.org/2003/iso4217USDiso4217http://www.xbrl.org/2003/instancesharesxbrli0USDUSD$4false USDtruefalse$I2013Q2_M0601_MembersInterestClassF1Memberhttp://www.sec.gov/CIK0001309136instant2013-06-01T00:00:000001-01-01T00:00:00falsefalseClass F1us-gaap_PartnerTypeOfPartnersCapitalAccountAxisxbrldihttp://xbrl.org/2006/xbrldimlwf_MembersInterestClassF1Memberus-gaap_PartnerTypeOfPartnersCapitalAccountAxisexplicitMemberUSDPerShareDividehttp://www.xbrl.org/2003/iso4217USDiso4217http://www.xbrl.org/2003/instancesharesxbrli0USDUSD$1true 3mlwf_PartnersCapitalAccountsLineItemsmlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsefalsefalse00falsefalsefalse2falsefalsefalse00falsefalsefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalsexbrli:stringItemTypestringfalse0Organization2false 4mlwf_InitialOfferingPricePerUnitmlwf_falsenainstantfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsefalsefalse00falsefalsefalse2falsefalsefalse00falsefalsefalse3truefalsefalse1.001.00USD$falsetruefalse4truefalsefalse1.001.00USD$falsetruefalsenum:perShareItemTypedecimalThis element represents the initial offering price per unit.No definition available.false3Initial offering price per unit3false 4mlwf_TotalFundInvestmentRequiredForInvestmentInUnitClassmlwf_falsedebitinstantfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsefalsefalse00falsefalsefalse2truefalsefalse2000000020USD$falsetruefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalsexbrli:monetaryItemTypemonetaryRepresents the total amount of fund investment required by investor for investment in unit class.No definition available.false2Total Fund Investment required for investment in unit class4false 4mlwf_TotalInvestmentRequiredForInvestmentInUnitClassmlwf_falsedebitinstantfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1falsefalsefalse00falsefalsefalse2truefalsefalse6000000060USD$falsetruefalse3falsefalsefalse00falsefalsefalse4falsefalsefalse00falsefalsefalsexbrli:monetaryItemTypemonetaryRepresents the total amount of investment required by investor for investment in unit class.No definition available.false2Total Investment required for investment in unit class5false 4mlwf_PercentageOfMonthlyManagementFeemlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse0.010.01falsefalsefalse2falsetruefalse00falsefalsefalse3falsetruefalse00falsefalsefalse4falsetruefalse00falsefalsefalsenum:percentItemTypepureRepresents the percentage of monthly management fee.No definition available.false0Monthly management fee (as a percent)6false 4mlwf_PercentageOfAnnualPerformanceFeemlwf_falsenadurationfalsefalsefalsefalsefalsefalsefalsefalseterseLabel1truetruefalse0.200.20falsefalsefalse2falsetruefalse00falsefalsefalse3falsetruefalse00falsefalsefalse4falsetruefalse00falsefalsefalsenum:percentItemTypepureRepresents the percentage of annual performance fee.No definition available.false0Annual performance fee (as a percent)falseSUMMARY OF SIGNIFICANT ACCOUNTING POLICIES (Details) (USD $)MillionsUnKnownNoRoundingUnKnowntruefalsefalseSheethttp://www.mlwf.ml.com/role/DisclosureSummaryOfSignificantAccountingPoliciesDetails46