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Re: Simplify stuck in simple expression

• To: mathgroup at smc.vnet.net
• Subject: [mg50178] Re: Simplify stuck in simple expression
• From: carlos at colorado.edu (Carlos Felippa)
• Date: Thu, 19 Aug 2004 06:28:08 -0400 (EDT)
• References: <cfsi9a$a78$1@smc.vnet.net> <200408180520.BAA06011@smc.vnet.net> <cfv4hu$8jd$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Andrzej Kozlowski <akoz at mimuw.edu.pl> wrote in message news:<cfv4hu$8jd$1 at smc.vnet.net>...
> You can use:
> 
> 
> FullSimplify[Factor //@ ((2 - Sqrt[72*(1 + a*b)^2 + 4])/
>      (2*a))]
> 
> 
> (1 - Sqrt[18*a*b*(a*b + 2) + 19])/a
> 
> 
> However, as this has the same LeafCount as the expression you desire 
> you, would need to find a suitable ComplexityFunction to obtain the 
> answer you want.
> 
>
My objective has a smaller LeafCount:

 Print[LeafCount[(2 - Sqrt[72*(1 + a*b)^2 + 4])/ (2*a)]];

 26

 Print[LeafCount[(1 - Sqrt[18*(1 + a*b)^2 + 1])/ a]]

 23

• References:
  • Re: Simplify stuck in simple expression
    • From: carlos@colorado.edu (Carlos Felippa)