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
\[\leadsto (\left((\left(b \cdot \left(a + 3\right)\right) \cdot b + \left(\left(1 - a\right) \cdot \left(a \cdot a\right)\right))_*\right) \cdot 4 + \left((\left((b \cdot b + \left(a \cdot a\right))_*\right) \cdot \left((b \cdot b + \left(a \cdot a\right))_*\right) + -1)_*\right))_*\]
- Using strategy
rm Applied flip--0.2
\[\leadsto (\left((\left(b \cdot \left(a + 3\right)\right) \cdot b + \left(\color{blue}{\frac{1 \cdot 1 - a \cdot a}{1 + a}} \cdot \left(a \cdot a\right)\right))_*\right) \cdot 4 + \left((\left((b \cdot b + \left(a \cdot a\right))_*\right) \cdot \left((b \cdot b + \left(a \cdot a\right))_*\right) + -1)_*\right))_*\]
Applied associate-*l/0.2
\[\leadsto (\left((\left(b \cdot \left(a + 3\right)\right) \cdot b + \color{blue}{\left(\frac{\left(1 \cdot 1 - a \cdot a\right) \cdot \left(a \cdot a\right)}{1 + a}\right)})_*\right) \cdot 4 + \left((\left((b \cdot b + \left(a \cdot a\right))_*\right) \cdot \left((b \cdot b + \left(a \cdot a\right))_*\right) + -1)_*\right))_*\]
Simplified0.2
\[\leadsto (\left((\left(b \cdot \left(a + 3\right)\right) \cdot b + \left(\frac{\color{blue}{a \cdot a - {a}^{4}}}{1 + a}\right))_*\right) \cdot 4 + \left((\left((b \cdot b + \left(a \cdot a\right))_*\right) \cdot \left((b \cdot b + \left(a \cdot a\right))_*\right) + -1)_*\right))_*\]
Final simplification0.2
\[\leadsto (\left((\left(\left(a + 3\right) \cdot b\right) \cdot b + \left(\frac{a \cdot a - {a}^{4}}{1 + a}\right))_*\right) \cdot 4 + \left((\left((b \cdot b + \left(a \cdot a\right))_*\right) \cdot \left((b \cdot b + \left(a \cdot a\right))_*\right) + -1)_*\right))_*\]
