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Unable to make sense of Maxima expression

asked 2011-05-31 23:02:21 -0500

omerlevy gravatar image

updated 2011-06-01 12:49:34 -0500

Kelvin Li gravatar image

Hey everybody,

I'm trying to do some symbolic calculations. When trying to solve the following equation set for v_0, v_1, w_0, and w_1, I get "TypeError: Unable to make sense of Maxima expression".

The equations are added below:

v_0 == 1/6*(2*(s0_0 + s1_0 + s2_0)*t0_1 + 2*(s0_0 + s1_0 + s2_0)*t1_1 -
3*((t0_0 + t1_0)*t1_1 + t0_0*t0_1 + t0_1*t1_0)*w_0 - sqrt(-18*(t0_1^4 -
2*t0_1^3*t1_1 + 2*t0_1^2*t1_1^2 - 2*t0_1*t1_1^3 + t1_1^4)*w_1^2 -
9*(t0_0^2*t0_1^2 - 2*t0_0*t0_1^2*t1_0 + t0_1^2*t1_0^2 + (t0_0^2 -
2*t0_0*t1_0 + t1_0^2)*t1_1^2 + 2*(t0_0^2*t0_1 - 2*t0_0*t0_1*t1_0 +
t0_1*t1_0^2)*t1_1)*w_0^2 - 8*((s0_1 + s1_1)*s2_1 + (s0_0 + s1_0)*s2_0 -
s0_0^2 + s0_0*s1_0 - s0_1^2 + s0_1*s1_1 - s1_0^2 - s1_1^2 - s2_0^2 -
s2_1^2)*t0_1^2 - 16*((s0_1 + s1_1)*s2_1 + (s0_0 + s1_0)*s2_0 - s0_0^2 +
s0_0*s1_0 - s0_1^2 + s0_1*s1_1 - s1_0^2 - s1_1^2 - s2_0^2 -
s2_1^2)*t0_1*t1_1 - 8*((s0_1 + s1_1)*s2_1 + (s0_0 + s1_0)*s2_0 - s0_0^2
+ s0_0*s1_0 - s0_1^2 + s0_1*s1_1 - s1_0^2 - s1_1^2 - s2_0^2 -
s2_1^2)*t1_1^2))/(t0_1 + t1_1)

v_1 == -1/3*(3*(t0_1^2 + t1_1^2)*w_1 -
(s0_1 + s1_1 + s2_1)*t0_1 - (s0_1 + s1_1 + s2_1)*t1_1)/(t0_1 + t1_1),

w_0 == -1/6*(3*(t0_0*t0_1 + t0_1*t1_0)*t1_1*v_0 - ((s0_0 + s1_0 +
s2_0)*t0_0*t0_1 + (s0_0 + s1_0 + s2_0)*t0_1*t1_0)*t1_1 + sqrt((2*(s0_1 +
s1_1)*s2_1 + s0_1^2 + 2*s0_1*s1_1 + s1_1^2 +
s2_1^2)*t0_0*t0_1^3*t1_0*t1_1 + (2*(s0_1 + s1_1)*s2_1 + s0_1^2 +
2*s0_1*s1_1 + s1_1^2 + s2_1^2)*t0_0*t0_1*t1_0*t1_1^3 + 9*(t0_0^2*t0_1^2
- 2*t0_0*t0_1^2*t1_0 + t0_1^2*t1_0^2)*t1_1^2*v_0^2 - 6*((s0_0 + s1_0 +
s2_0)*t0_0^2*t0_1^2 - 2*(s0_0 + s1_0 + s2_0)*t0_0*t0_1^2*t1_0 + (s0_0 +
s1_0 + s2_0)*t0_1^2*t1_0^2)*t1_1^2*v_0 + ((2*(s0_0 + s1_0)*s2_0 + s0_0^2
+ 2*s0_0*s1_0 + s1_0^2 + s2_0^2)*t0_0^2*t0_1^2 + (2*(s0_0 + s1_0)*s2_0 +
s0_0^2 + 2*s0_0*s1_0 + s1_0^2 + s2_0^2)*t0_1^2*t1_0^2 + 2*(2*(s0_1 +
s1_1)*s2_1 + 2*(s0_0 + s1_0)*s2_0 - 5*s0_0^2 + 2*s0_0*s1_0 - 5*s0_1^2 +
2*s0_1*s1_1 - 5*s1_0^2 - 5*s1_1^2 - 5*s2_0^2 -
5*s2_1^2)*t0_0*t0_1^2*t1_0)*t1_1^2 + 9*(t0_0*t0_1^3*t1_0*t1_1 -
2*t0_0*t0_1^2*t1_0*t1_1^2 + t0_0*t0_1*t1_0*t1_1^3)*v_1^2 - 6*((s0_1 +
s1_1 + s2_1)*t0_0*t0_1^3*t1_0*t1_1 - 2*(s0_1 + s1_1 +
s2_1)*t0_0*t0_1^2*t1_0*t1_1^2 + (s0_1 + s1_1 +
s2_1)*t0_0*t0_1*t1_0*t1_1^3)*v_1))/(t0_0*t0_1*t1_0*t1_1)

w_1 == -1/6*(3*(t0_1 + t1_1)*v_1 - (s0_1 + s1_1 + s2_1)*t0_1 - (s0_1 + s1_1 +
s2_1)*t1_1)/(t0_1*t1_1)]

And the exact error is:

TypeError: unable to make sense of Maxima expression
'[If(and(-pi/2<parg(sqrt(s2_1^2+(-s1_1-s0_1)*s2_1+s2_0^2+(-s1_0-s0_0)\
*s2_0+s1_1^2-s0_1*s1_1+s1_0^2-s0_0*s1_0+s0_1^2+s0_0^2)*(sqrt(2)*t0_0*t0_ ...
(more)
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answered 2011-06-01 02:07:15 -0500

niles gravatar image

updated 2011-06-01 05:42:15 -0500

First, I noticed that there's a comma at the end of

v_1 == ...

and a square bracket at the end of

w_1 == ...

These are copy/paste typos, right?

Second, do the equations get solved successfully if you drop 1/2 of the terms or so? If so, that might point to memory overflow problems.

Third, could you also post exactly what solve command you're using?

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Indeed copy/paste typos. Those terms were created dynamically, of course, and they're already at a minimum (yes, I know it doesn't look very much like it). I'm using the regular solve() command.

omerlevy gravatar imageomerlevy ( 2011-06-01 07:05:26 -0500 )edit

what I mean is enter the equations by hand (as I did, pasting from your post), but just delete most of the terms and see if the equations can stiil be solved. I deleted about 2/3 of the terms and the solve command worked without complaint; I didn't have time to test more.

niles gravatar imageniles ( 2011-06-01 10:23:59 -0500 )edit

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Asked: 2011-05-31 23:02:21 -0500

Seen: 333 times

Last updated: Jun 01 '11