Trading Activities - Gross Fair Values of Derivative Instruments of Futures and Forward Contracts Traded (Detail) - USD ($)	Jun. 30, 2026	Dec. 31, 2025
Forward Contracts [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	$ 2,038,463	$ 943,618
Total unrealized depreciation on open contracts	(2,060,232)	(770,789)
Net unrealized appreciation (depreciation) on open contracts	(21,769)	172,829
Forward Contracts [Member] \| Currencies [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	953,663	343,757
Total unrealized depreciation on open contracts	(775,417)	(315,141)
Forward Contracts [Member] \| Metals [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	1,084,800	599,861
Total unrealized depreciation on open contracts	(1,284,815)	(455,648)
Futures Contracts [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	1,876,884	2,228,281
Total unrealized depreciation on open contracts	(1,170,481)	(1,559,755)
Net unrealized appreciation (depreciation) on open contracts	706,403	668,526
Futures Contracts [Member] \| Currencies [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	499,492	124,687
Total unrealized depreciation on open contracts	(13,645)	(103,420)
Futures Contracts [Member] \| Energy [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	160,164	311,722
Total unrealized depreciation on open contracts	(243,051)	(442,082)
Futures Contracts [Member] \| Grains [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	219,227	405,655
Total unrealized depreciation on open contracts	(139,751)	(145,990)
Futures Contracts [Member] \| Indices [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	565,148	301,489
Total unrealized depreciation on open contracts	(447,182)	(400,538)
Futures Contracts [Member] \| Interest Rates U.S. [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	31,375	189,782
Total unrealized depreciation on open contracts	(33,497)	(11,935)
Futures Contracts [Member] \| Interest Rates Non-U.S. [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	153,360	95,239
Total unrealized depreciation on open contracts	(83,334)	(172,733)
Futures Contracts [Member] \| Livestock [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	43,640	47,987
Total unrealized depreciation on open contracts	(10,780)	(76,580)
Futures Contracts [Member] \| Metals [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	101,557	621,742
Total unrealized depreciation on open contracts	(49,348)	(56,855)
Futures Contracts [Member] \| Softs [Member]
Derivative [Line Items]
Total unrealized appreciation on open contracts	102,921	129,978
Total unrealized depreciation on open contracts	$ (149,893)	$ (149,622)