Initial program 0.8
\[1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
Simplified0.8
\[\leadsto \color{blue}{\mathsf{fma}\left(\frac{\mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, \mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, \mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, \mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right)}{e^{\left|x\right| \cdot \left|x\right|}}, \frac{-1}{\mathsf{fma}\left(\left|x\right|, 0.32759110000000002, 1\right)}, 1\right)}\]
Taylor expanded around 0 0.8
\[\leadsto \mathsf{fma}\left(\frac{\color{blue}{\left(1.0614054289999999 \cdot \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{4}} + \left(1.42141374100000006 \cdot \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}} + 0.25482959199999999\right)\right) - \left(1.45315202700000001 \cdot \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{3}} + 0.284496735999999972 \cdot \frac{1}{0.32759110000000002 \cdot \left|x\right| + 1}\right)}}{e^{\left|x\right| \cdot \left|x\right|}}, \frac{-1}{\mathsf{fma}\left(\left|x\right|, 0.32759110000000002, 1\right)}, 1\right)\]
Simplified0.8
\[\leadsto \mathsf{fma}\left(\frac{\color{blue}{\mathsf{fma}\left(1.42141374100000006, \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 0.25482959199999999\right) - \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \frac{1 \cdot 1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}}\right) - \frac{1 \cdot 1.0614054289999999}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}\right)}}{e^{\left|x\right| \cdot \left|x\right|}}, \frac{-1}{\mathsf{fma}\left(\left|x\right|, 0.32759110000000002, 1\right)}, 1\right)\]
Taylor expanded around 0 0.9
\[\leadsto \color{blue}{\left(1 + \left(1.45315202700000001 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{4}} + 0.284496735999999972 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}\right)\right) - \left(1.42141374100000006 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{3}} + \left(1.0614054289999999 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}} + 0.25482959199999999 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot \left(0.32759110000000002 \cdot \left|x\right| + 1\right)}\right)\right)}\]
Simplified0.8
\[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) - \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right) + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}}\]
- Using strategy
rm Applied add-sqr-sqrt0.8
\[\leadsto \left(\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) - \color{blue}{\sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}}\right) + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}\]
Applied *-un-lft-identity0.8
\[\leadsto \left(\color{blue}{1 \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)} - \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}\right) + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}\]
Applied prod-diff0.8
\[\leadsto \color{blue}{\left(\mathsf{fma}\left(1, \mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}, -\sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}\right) + \mathsf{fma}\left(-\sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}, \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}, \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}\right)\right)} + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}\]
Applied associate-+l+0.8
\[\leadsto \color{blue}{\mathsf{fma}\left(1, \mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}, -\sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}\right) + \left(\mathsf{fma}\left(-\sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}, \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}, \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}\right) + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}\right)}\]
Simplified0.9
\[\leadsto \mathsf{fma}\left(1, \mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}, -\sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)} \cdot \sqrt{\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)}\right) + \color{blue}{\mathsf{fma}\left(1.45315202700000001, \frac{\frac{1}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}, \mathsf{fma}\left(-1, \mathsf{fma}\left(\frac{1.0614054289999999}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{5}}, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}, \frac{\frac{0.25482959199999999}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}\right), \mathsf{fma}\left(\frac{1.0614054289999999}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{5}}, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}, \frac{\frac{0.25482959199999999}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}\right)\right)\right)}\]
Initial program 28.0
\[1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
Simplified28.0
\[\leadsto \color{blue}{\mathsf{fma}\left(\frac{\mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, \mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, \mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, \mathsf{fma}\left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right)}{e^{\left|x\right| \cdot \left|x\right|}}, \frac{-1}{\mathsf{fma}\left(\left|x\right|, 0.32759110000000002, 1\right)}, 1\right)}\]
Taylor expanded around 0 29.6
\[\leadsto \mathsf{fma}\left(\frac{\color{blue}{\left(1.0614054289999999 \cdot \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{4}} + \left(1.42141374100000006 \cdot \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}} + 0.25482959199999999\right)\right) - \left(1.45315202700000001 \cdot \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{3}} + 0.284496735999999972 \cdot \frac{1}{0.32759110000000002 \cdot \left|x\right| + 1}\right)}}{e^{\left|x\right| \cdot \left|x\right|}}, \frac{-1}{\mathsf{fma}\left(\left|x\right|, 0.32759110000000002, 1\right)}, 1\right)\]
Simplified28.0
\[\leadsto \mathsf{fma}\left(\frac{\color{blue}{\mathsf{fma}\left(1.42141374100000006, \frac{1}{{\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 0.25482959199999999\right) - \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \frac{1 \cdot 1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}}\right) - \frac{1 \cdot 1.0614054289999999}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}\right)}}{e^{\left|x\right| \cdot \left|x\right|}}, \frac{-1}{\mathsf{fma}\left(\left|x\right|, 0.32759110000000002, 1\right)}, 1\right)\]
Taylor expanded around 0 28.0
\[\leadsto \color{blue}{\left(1 + \left(1.45315202700000001 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{4}} + 0.284496735999999972 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}\right)\right) - \left(1.42141374100000006 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{3}} + \left(1.0614054289999999 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}} + 0.25482959199999999 \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot \left(0.32759110000000002 \cdot \left|x\right| + 1\right)}\right)\right)}\]
Simplified28.0
\[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) - \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right) + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}}\]
- Using strategy
rm Applied flip3--30.3
\[\leadsto \color{blue}{\frac{{\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)}^{3} - {\left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)}^{3}}{\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) + \left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) + \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)}} + \frac{\frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{e^{{\left(\left|x\right|\right)}^{2}}}\]
Applied frac-add30.4
\[\leadsto \color{blue}{\frac{\left({\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)}^{3} - {\left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)}^{3}\right) \cdot e^{{\left(\left|x\right|\right)}^{2}} + \left(\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) + \left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) + \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)\right) \cdot \frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}}{\left(\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) + \left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) + \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)\right) \cdot e^{{\left(\left|x\right|\right)}^{2}}}}\]
Simplified24.4
\[\leadsto \frac{\color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right), \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) + \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right), \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)\right), \frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}, \left({\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)}^{3} - {\left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)}^{3}\right) \cdot e^{{\left(\left|x\right|\right)}^{2}}\right)}}{\left(\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) + \left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) + \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)\right) \cdot e^{{\left(\left|x\right|\right)}^{2}}}\]
Simplified24.4
\[\leadsto \frac{\mathsf{fma}\left(\mathsf{fma}\left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right), \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) + \mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right), \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)\right), \frac{1.45315202700000001}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{4}}, \left({\left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)}^{3} - {\left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right)\right)}^{3}\right) \cdot e^{{\left(\left|x\right|\right)}^{2}}\right)}{\color{blue}{e^{{\left(\left|x\right|\right)}^{2}} \cdot \left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) \cdot \left(\mathsf{fma}\left(1.0614054289999999, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{5}}, \frac{\frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)} \cdot 0.25482959199999999\right) + \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)\right) + \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right) \cdot \left(\mathsf{fma}\left(0.284496735999999972, \frac{1}{e^{{\left(\left|x\right|\right)}^{2}} \cdot {\left(0.32759110000000002 \cdot \left|x\right| + 1\right)}^{2}}, 1\right) - \frac{1.42141374100000006}{{\left(\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)\right)}^{3}} \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}\right)\right)}}\]