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Fees and Related Party Transactions (Details) (USD $)
 3 Months Ended 12 Months Ended
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Fees and Related Party Transactions [Abstract]      
Advisory fees at annual rate of net asset value of fund (in hundredths)   1.75%gaifb_ManagementFee 1.75%gaifb_ManagementFee
Selling agent fees at annual rate of net assets value of fund (in hundredths) 2.00%gaifb_SellingAgentFee    
Incentive Allocation allocated to the Fund by GAIT   $ 1,740,643us-gaap_IncentiveFeeExpense $ 0us-gaap_IncentiveFeeExpense
Percentage of incentive allocation (in hundredths)   20.00%gaifb_NoninterestExpenseRelatedToPerformanceFeesPercentage  
Administrator's Fee [Abstract]      
Administrator's fees   $ 95,861gaifb_AdministratorSFees $ 112,745gaifb_AdministratorSFees
Class 0 Units [Member]      
Sponsor Fees [Abstract]      
Sponsor fees at annual rate of net asset value of fund (in hundredths)   0.75%gaifb_SponsorsFee
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember		  
Class 2 Units [Member]      
Sponsor Fees [Abstract]      
Sponsor fees at annual rate of net asset value of fund (in hundredths)   2.75%gaifb_SponsorsFee
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember