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f/@:g Improved initial writing: 2006-05-11
last updated: 2006-05-30

The dyad x f/@:g y (also [: f/ g ) is now supported by special code for atomic verbs f and g , with further optimizations for +/@:g . Time improved by a factor of 1.5 to 4; space improved from O(*/$x) to O(*/}.$x) . The following benchmarks illustrate the improvement:

xx=: 1000 10 100 ?@$ 0
yy=: 1000 10 100 ?@$ 0
zz=: 1000 10 ?@$ 0
   
b=: 10000 96 ?@$ 2
c=: 10000 96 ?@$ 2
p=: 96 10000 ?@$ 2
q=: 96 10000 ?@$ 2

ts=: 6!:2 , 7!:2@]
ts 'Expression'
Expression    J 6.01    J 5.04    Ratio
xx +/@:* yy  0.00783861  9536 0.02374443 8398144 3.03 880.68
xx +/@:* zz  0.00429688  9536 0.01484349 8398144 3.45 880.68
xx >./@:* yy 0.01087503  17728 0.02459718 8398144 2.26 473.72
xx >./@:* zz 0.00808532  17728 0.01606883 8398144 1.99 473.72
b +/@:*. c  0.00081321  1984 0.00253429 1050560 3.12 529.52
p +/@:*. q  0.00090042  83136 0.00259604 1131712 2.88  13.61
b ~:/@:> c  0.00253506  1728 0.00277456 1050048 1.09 607.67
p ~:/@:> q  0.00132367  33984 0.00270656 1066176 2.04  31.37


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