Comment #9 on issue 3226 by smi...@gmail.com: high-order derivatives should
be cse-simplified
http://code.google.com/p/sympy/issues/detail?id=3226
I just confirmed that it's factor_terms and signsimp that are providing the
simplification:
print filldedent(factor_terms(s))
3*(3*(-b**2 - d**2)**2*(b*(a + b*t) + d*(c + d*t)) + 12*(-b**2 -
d**2)*(b**2 + d**2)*(-b*(a + b*t) - d*(c + d*t)) + 30*(-b**2 -
d**2)*(-b*(a + b*t) - d*(c + d*t))**2*(b*(a + b*t) + d*(c + d*t))/((a
+ b*t)**2 + (c + d*t)**2) + 20*(b**2 + d**2)*(-b*(a + b*t) - d*(c +
d*t))**3/((a + b*t)**2 + (c + d*t)**2) + 35*(-b*(a + b*t) - d*(c +
d*t))**4*(b*(a + b*t) + d*(c + d*t))/((a + b*t)**2 + (c +
d*t)**2)**2)/((a + b*t)**2 + (c + d*t)**2)**(5/2)
print filldedent(factor_terms(signsimp(s)))
15*(b*(a + b*t) + d*(c + d*t))*(3*(b**2 + d**2)**2 - 10*(b**2 +
d**2)*(b*(a + b*t) + d*(c + d*t))**2/((a + b*t)**2 + (c + d*t)**2) +
7*(b*(a + b*t) + d*(c + d*t))**4/((a + b*t)**2 + (c + d*t)**2)**2)/((a
+ b*t)**2 + (c + d*t)**2)**(5/2)
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