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f@]^:g

Improved

initial writing: 2005-07-14
last updated: 2005-07-18


The following phrases are equivalent:

x f@]^:g y  
x f@]^:(x g y) y  definition of u^:v
x&(f@])^:(x g y) y  definition of x u^:n y
f^:(x g y) y  definition of & and @ and ]

Evaluation of the first phrase has been made more efficient by implementing it as the last phrase, applying f instead of x&(f@]) on each iteration. The amount of improvement depends on the verb f : up to a factor of 1.5 for very simple f , and hardly measureable for complex f . The following benchmarks demonstrate the improvement:

Expression      J 6.01      J 5.04      Ratio
1e5 >:@]^:[ 1   0.0335399 1408  0.0503185 1536  1.50 1.09
15 +/ .*~@]^:[ 0 1,:1 1x  0.0524145 126784  0.0524282 126912  1.00 1.00



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