(1) -> atan((x^2*((-1)*x^4+1)^(1/2)+(x^3+x))/(((-1)*x^4+1)^(1/2)+((-1)*x^3+x)))
+--------+
2 | 4 3
x \|- x + 1 + x + x
(1) atan(----------------------)
+--------+
| 4 3
\|- x + 1 - x + x
Type: Expression(Integer)
(2) -> atan(x*(1 + x^2)/sqrt(1 - x^4))
+--------+
2 | 4 3
x \|- x + 1 + x + x
(2) atan(----------------------)
+--------+
| 4 3
\|- x + 1 - x + x
Type: Expression(Integer)
You can see that the output of (2) is the same as (1)
instead of the following (1). So the input order alone can
lead to auto-simplification (or auto-complication), is this
a bug (or a feature)?
(1) -> atan(x*(1 + x^2)/sqrt(1 - x^4))
3
x + x
(1) atan(-----------)
+--------+
| 4
\|- x + 1
Type: Expression(Integer)
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