Comment #11 on issue 1274 by akshaysrinivasan: trigsimp doesn't like  
decimals
http://code.google.com/p/sympy/issues/detail?id=1274

Try :
>>> trigsimp(sin(x)**2.0+cos(x)**2)
1
The power of cos(x) is an Integer.

   The problem is that in trigsimp_nonrecursive, sin(x)**2 in the expression  
gets
replaced by 1-cos(x)**2 ; this -usually- simplifies sin(x)**2 + cos(x)**2  
to 1 .
   Here, although sin(x)**2.0 is replaced by 1-cos(x)**2 , the resulting  
expression (1
- cos(x)**2 + cos(x)**2.0) does not sum to 1 - see bug 1374. So trigsimp  
continues
and tries to remove "lingering artifacts" - replacing things like  
a-a*cos(x)**2 with
a*sin(x)**2. Here it tries to match the expression to a bunch of patterns.

The exception arises from trigsimp trying to match
(1-cos(x)**2 +cos(x)**2.0) to ( a_ + c_ - a_*cos(b_)**2 )

I'm quite sure this issue is a result of bug 1374.


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