# Global Equilibrium Coverage Ratio

The system health of a pool could be measured by the **global equilibrium coverage ratio** $$r^\*$$, which is the coverage ratio when all tokens return to the equilibrium state.

$$
\sum{L\_x (r^\* - \frac{A}{r^\*})} = K
$$

If r\* is greater than or equal to 1, it indicates the pool has enough asset to cover its liability.

## Visualize Wombat

By plotting Wombat’s invariant when the amplification factor is 0.05, we can generate the following visualization:<br>

![Wombat Invariant (Red curve) and Constant Function Market Makers (blue curve)](/files/6foLpmecy8ZJv7PsMfuu)

When the pool is close to equilibrium, tokens are exchanged in a way similar to CFMM. Unlimited liquidity is provided near the tail when it deviates from equilibrium.


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