CosmoGen: A genetic algorithm framework for the exploration of dark energy dynamics

Open Access

Table 2.

Twenty best scoring models generated by the CosmoGen run.

Model	Score	χ_min²	Complexity	log₁₀(D)	h	Ω_m	S₈
$\frac{A}{D^{3} a^{3} - ln (a)}$ $Mathematical equation: $ \frac{A}{D^{3} a^{3} - \ln{\left(a \right)}} $$	637.17	627.17	10	−0.130	0.754	0.247	0.767
$\frac{A}{D a^{a} - a}$ $Mathematical equation: $ \frac{A}{D a^{a} - a} $$	638.99	629.99	9	0.088	0.741	0.256	0.772
$\frac{A}{D a^{a^{D}} - a}$ $Mathematical equation: $ \frac{A}{D a^{a^{D}} - a} $$	640.87	629.87	11	0.099	0.744	0.254	0.771
$\frac{A}{D^{2} a^{2} - ln (a)}$ $Mathematical equation: $ \frac{A}{D^{2} a^{2} - \ln{\left(a \right)}} $$	642.03	632.03	10	−0.117	0.730	0.261	0.770
$\frac{A}{D a - ln (D a)}$ $Mathematical equation: $ \frac{A}{D a - \ln{\left(D a \right)}} $$	644.25	634.25	10	−0.351	0.737	0.257	0.769
$\frac{A}{D a^{D} - ln (a)}$ $Mathematical equation: $ \frac{A}{D a^{D} - \ln{\left(a \right)}} $$	645.09	635.09	10	−0.184	0.765	0.240	0.768
$\frac{A}{D^{3} a^{a + 2} - ln (a)}$ $Mathematical equation: $ \frac{A}{D^{3} a^{a + 2} - \ln{\left(a \right)}} $$	645.50	633.50	12	−0.102	0.734	0.259	0.769
$- \frac{A}{a - ln (a^{D})}$ $Mathematical equation: $ -\frac{A}{a - \ln{\left(a^{D} \right)}} $$	645.65	636.65	9	−0.875	0.711	0.274	0.770
$\frac{A}{D ln (D a) - a}$ $Mathematical equation: $ \frac{A}{D \ln{\left(D a \right)} - a} $$	646.91	636.91	10	−0.330	0.746	0.251	0.769
$\frac{A}{D^{3} a - ln (a)}$ $Mathematical equation: $ \frac{A}{D^{3} a - \ln{\left(a \right)}} $$	647.15	638.16	9	0.172	0.730	0.262	0.774
$\frac{A}{a^{D} - ln (a^{D})}$ $Mathematical equation: $ \frac{A}{a^{D} - \ln{\left(a^{D} \right)}} $$	647.38	637.38	10	−0.122	0.696	0.285	0.775
$\frac{A}{{(D^{2})}^{a}}$ $Mathematical equation: $ \frac{A}{\left(D^{2}\right)^{a}} $$	647.46	641.46	6	−0.010	0.720	0.269	0.775
$\frac{A}{D^{a} ln (D a) - a}$ $Mathematical equation: $ \frac{A}{D^{a} \ln{\left(D a \right)} - a} $$	647.84	635.84	12	−0.306	0.763	0.241	0.768
$\frac{A}{D a^{D} - ln (D a)}$ $Mathematical equation: $ \frac{A}{D a^{D} - \ln{\left(D a \right)}} $$	648.88	636.88	12	0.259	0.769	0.238	0.767
$\frac{A}{D {(a^{D})}^{D} - ln (a)}$ $Mathematical equation: $ \frac{A}{D \left(a^{D}\right)^{D} - \ln{\left(a \right)}} $$	649.14	637.14	12	−0.075	0.736	0.258	0.772
$\frac{A}{D^{2} a - ln (a)}$ $Mathematical equation: $ \frac{A}{D^{2} a - \ln{\left(a \right)}} $$	649.77	640.78	9	0.175	0.692	0.288	0.773
$\frac{A}{{(D^{3})}^{a}}$ $Mathematical equation: $ \frac{A}{\left(D^{3}\right)^{a}} $$	649.97	643.97	6	−0.006	0.693	0.289	0.781
$\frac{A}{D^{2} a^{a} - ln (a)}$ $Mathematical equation: $ \frac{A}{D^{2} a^{a} - \ln{\left(a \right)}} $$	650.19	639.19	11	0.068	0.683	0.294	0.774
$\frac{A}{D^{3} a - ln (D a)}$ $Mathematical equation: $ \frac{A}{D^{3} a - \ln{\left(D a \right)}} $$	650.75	639.75	11	0.150	0.696	0.285	0.772
$- \frac{A}{D (D^{2} a - a^{a})}$ $Mathematical equation: $ -\frac{A}{D \left(D^{2} a - a^{a}\right)} $$	657.09	644.09	13	0.053	0.690	0.290	0.776

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