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u/"r Improved

initial writing: 2003-09-04 last updated: 2004-10-26

u/"r y where r>0 and 2=(-r){$y (insert over an axis of length 2) is now faster for the following combinations:

	Verb u		Rank r		Argument Type
	= ~:		any		literal
	= ~: < <: > >:		any		integer, floating point
	= ~: < <: > >: <. >. +. +: * *. *:		1		Boolean

The following benchmarks demonstrate the improvement:

i1=: ?1e6 2$1e6
i3=: ?1000 2 10 100$1e6
d1=: o. i1
d3=: o. i3
c1=: a.{~?1e6 2$256
c3=: a.{~?1000 2 10 100$256
b1=: ?10 1e5 2$2

ts=: 6!:2 , 7!:2@]
ts 'Expression'

Expression		J 5.03		J 5.02		Ratio
</"1 i1		0.035357 1.049856e6		3.409647 1.050240e6		96.43 1.00
</"1 d1		0.150371 1.049856e6		3.591794 1.050240e6		23.89 1.00
</"3 i3		0.040242 1.049792e6		0.071851 1.070336e6		1.79 1.02
</"3 d3		0.138132 1.049792e6		0.188177 1.086720e6		1.36 1.04
=/"1 i1		0.035739 1.049856e6		3.493348 1.050240e6		97.75 1.00
=/"1 d1		0.172347 1.049856e6		3.612539 1.050240e6		20.96 1.00
=/"3 i3		0.040809 1.049792e6		0.060829 1.070336e6		1.49 1.02
=/"3 d3		0.147929 1.049792e6		0.195685 1.086720e6		1.32 1.04
=/"1 c1		0.018211 1.049856e6		3.401312 1.050240e6		186.77 1.00
=/"3 c3		0.020371 1.049792e6		0.029415 1.062144e6		1.44 1.01
= /"1 b1		0.014215 1.049856e6		0.050325 1.049856e6		3.54 1.00
~:/"1 b1		0.014147 1.049856e6		0.038562 1.049856e6		2.73 1.00
< /"1 b1		0.014595 1.049856e6		0.054640 1.049856e6		3.74 1.00
+./"1 b1		0.014129 1.049856e6		0.062113 1.049856e6		4.40 1.00

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