Large difference in output of optimize_scalar and brent

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Hello,
           I have enclosed a minimum reproducible example with data (as SO
demands) and I am trying to use two methods in the scipy optimize package -
https://docs.scipy.org/doc/scipy/reference/optimize.html

One is minimize_scalar and the other is Brent's method. But both the
outputs have large differences. Can anybody explain why ?

Also I get a runtime error while running Brent-

test.py:29: RuntimeWarning: invalid value encountered in power
  ls = np.sum((x1[1:] - x1[:-1]*np.sign(a)*a**dt)**2)

Additionally the Brent one has another one if I specify a triple interval
ala -  dum = brent(func,brack=(-1,0,1),tol=3.0e-8)
ValueError  : Not a bracketing interval.

https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.brent.html
But docs say that I can specify a triplet in the bracketing interval.

I could have asked this on SO (and I still can) but this is more of a
discussion oriented question so hence posted here. If a bug please advise
appropriately as I can open on github.

Regards,
Ashwin.

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<div dir=3D"ltr">Hello,<div>=C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0I have=
 enclosed a minimum reproducible example with data (as SO demands) and I am=
 trying to use two methods in the scipy optimize package -=C2=A0<a href=3D"=
https://docs.scipy.org/doc/scipy/reference/optimize.html">https://docs.scip=
y.org/doc/scipy/reference/optimize.html</a></div><div><br></div><div>One is=
 minimize_scalar and the other is Brent&#39;s method. But both the outputs=
=C2=A0have large differences. Can anybody explain why ?</div><div><br></div=
><div>Also I get a runtime error while running Brent-=C2=A0</div><div><br><=
/div>test.py:29: RuntimeWarning: invalid value encountered in power<br><div=
>=C2=A0 ls =3D np.sum((x1[1:] - x1[:-1]*np.sign(a)*a**dt)**2)=C2=A0</div><d=
iv><br></div><div>Additionally the=C2=A0Brent one has another one if I spec=
ify a triple interval</div><div>ala -=C2=A0 dum =3D brent(func,brack=3D(-1,=
0,1),tol=3D3.0e-8)</div><div>ValueError=C2=A0 : Not a bracketing interval.=
=C2=A0</div><div><br></div><div><a href=3D"https://docs.scipy.org/doc/scipy=
/reference/generated/scipy.optimize.brent.html">https://docs.scipy.org/doc/=
scipy/reference/generated/scipy.optimize.brent.html</a> But docs say that I=
 can specify a triplet in the bracketing interval.=C2=A0<br></div><div><br>=
</div><div>I could have asked this on SO (and I still can) but this is more=
 of a discussion oriented question so hence posted here. If a bug please ad=
vise appropriately as I can open on github.=C2=A0</div><div><br></div><div>=
Regards,</div><div>Ashwin.=C2=A0</div></div>

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