Initial program 0.2
\[\left({\left(a \cdot a + b \cdot b\right)}^{2} + 4 \cdot \left(\left(a \cdot a\right) \cdot \left(1 - a\right) + \left(b \cdot b\right) \cdot \left(3 + a\right)\right)\right) - 1\]
Initial simplification0.2
\[\leadsto \left(\left(a + 3\right) \cdot \left(b \cdot b\right) + \left(1 - a\right) \cdot \left(a \cdot a\right)\right) \cdot 4 - \left(1 - \left(a \cdot a + b \cdot b\right) \cdot \left(a \cdot a + b \cdot b\right)\right)\]
Taylor expanded around inf 0.0
\[\leadsto \left(\left(a + 3\right) \cdot \left(b \cdot b\right) + \left(1 - a\right) \cdot \left(a \cdot a\right)\right) \cdot 4 - \left(1 - \color{blue}{\left({b}^{4} + \left({a}^{4} + 2 \cdot \left({a}^{2} \cdot {b}^{2}\right)\right)\right)}\right)\]
Final simplification0.0
\[\leadsto \left(\left(b \cdot b\right) \cdot \left(3 + a\right) + \left(1 - a\right) \cdot \left(a \cdot a\right)\right) \cdot 4 - \left(1 - \left(\left({a}^{4} + \left({a}^{2} \cdot {b}^{2}\right) \cdot 2\right) + {b}^{4}\right)\right)\]
