sympyとニュートン法の結果を比較してみた

ニュートン法は、素晴らしいですね。
(参考)Pythonで数値解析ニュートン法
https://qiita.com/Y_F_Acoustics/items/9288f614c23085db2d9b

wolframalpha

(参考)x*2-2=0
http://m.wolframalpha.com/input/?i=x*2-2%3D0
sqr(2)

(参考)http://m.wolframalpha.com/input/?i=sqr%282%29
1.414213562373095048801688724209698078569671875376948073176...
(参考)exp(x*2)-2*exp(0)*x+exp(0)=0
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(参考)exp((-1)2)-2*exp(0)(-1)+exp(0)
http://m.wolframalpha.com/input/?i=exp%28%28-1%29**2%29-2*exp%280%29*%28-1%29%2Bexp%280%29
3 + e

sympy

from sympy import *
x = symbols('x')
ans =solve(x**2-2)
print(ans[0],ans[1])
print(float(ans[0]),float(ans[1]))
print('-------------------------')
f=exp(x**2)-2*exp(0)*x+exp(0)
print(f)
f1 = f.subs([(x, -1)])
print(f1)
print('-------------------------')
ans =solve(exp(x**2)-2*exp(0)*x+exp(0))
print(ans)

# -sqrt(2) sqrt(2)
# -1.4142135623730951 1.4142135623730951
# -------------------------
# -2*x + exp(x**2) + 1
# E + 3
# -------------------------
# Traceback (most recent call last):
#   File "C:/xxx/.PyCharmCE2018.2/config/scratches/aaa.py", line 12, in <module>
#     ans =solve(exp(x**2)-2*exp(0)*x+exp(0))
#   File "C:\/xxx\PycharmProjects\untitled4\venv\lib\site-packages\sympy\solvers\solvers.py", line 1065, in solve
#     solution = _solve(f[0], *symbols, **flags)
#   File "C:\xxx\PycharmProjects\untitled4\venv\lib\site-packages\sympy\solvers\solvers.py", line 1634, in _solve
#     raise NotImplementedError('\n'.join([msg, not_impl_msg % f]))
# NotImplementedError: multiple generators [x, exp(x**2)]
# No algorithms are implemented to solve equation -2*x + exp(x**2) + 1