Double pendulum on a cart - Identification results

[BystrickyK]

Implicit dynamics assuming all parameters are 1 ( to make equations shorter):

[BystrickyK]

Correlation matrix of the function library:

Matrix of activation distances between identified equations (without labels, since there's too many equations and Matplotlib doesn't let me generate images with sides bigger than 2^16 pixels):

The identified equations, also without labels for the same reason:

These are clustered in the activation space to find models with a consistent (frequently appearing) structure.

If the equations are filtered for equations that have at least one element on the lower triangular part of the activation distance matrix = 0, we get rid of most of them. This is analogous to clustering and keeping clusters with at least two points.
Activation distance matrix filtered for equations that appear at least twice:

And the solution matrix:

After clustering and keeping only clusters with 5 or more points, then sorting them so they're together when visualized:

Activation distance matrix:

Solution matrix: