Hello. I'm using SymPy 0.7.2 on Py3 and 0.7.1 on Py2, both on Kubuntu
Precise. Please note below how simplify() is not able to take the
square root of denom even though it is a perfect square. It wasn't
even able to simplify the effect of expand(). Is this a known/unknown
bug and should I report it? Thanks.
In [1]: from sympy import *
In [2]: var('d,ax,ay,vx,vy,a2,v2,denom')
Out[2]: (d, ax, ay, vx, vy, a2, v2, denom)
In [3]: d=ax*vx+ay*vy
In [4]: v2=vx*vx+vy*vy
In [5]: a2=ax*ax+ay*ay
In [6]: denom=v2*a2-d*d
In [7]: sqrt(denom)
Out[7]: sqrt((ax**2 + ay**2)*(vx**2 + vy**2) - (ax*vx + ay*vy)**2)
In [8]: simplify(sqrt(denom))
Out[8]: sqrt(ax**2*vy**2 - 2*ax*ay*vx*vy + ay**2*vx**2)
In [9]: sqrt(simplify(denom))
Out[9]: sqrt(ax**2*vy**2 - 2*ax*ay*vx*vy + ay**2*vx**2)
In [10]: (ax*vy-ay*vx)**2
Out[10]: (ax*vy - ay*vx)**2
In [11]: ((ax*vy-ay*vx)**2).expand()
Out[11]: ax**2*vy**2 - 2*ax*ay*vx*vy + ay**2*vx**2
In [12]: simplify(((ax*vy-ay*vx)**2).expand())
Out[12]: ax**2*vy**2 - 2*ax*ay*vx*vy + ay**2*vx**2
--
Shriramana Sharma
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