Morphocompletion for #4987 ⟨a, b | aaaabba=baaa

Solved by morph:2/1,4/1,4/1. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. aaaabba ⇒ baaa
2. aaaabbbaaa ⇒ baabaaa
3. aaaabbbbaaa ⇒ baabbaaa
4. aaaabbbabaaa ⇒ baababaaa
5. aaaabbbbbaaa ⇒ baabbbaaa
...

Collecting factors up to length 7, frequency 3:

Length 2:[2/0] aa, [2/1] bb, [2/2] ba
Length 3:[3/0] aaa, [3/1] bbb, [3/2] bba
Length 4:[4/0] aaaa, [4/1] baaa, [4/2] aabb
Length 5:[5/0] aaaab, [5/1] bbaaa, [5/2] aaabb
Length 6:[6/0] aaaabb, [6/1] bbbaaa, [6/2] aaabbb

Considering [length 2 / frequency 1] bb=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. baaa ⇒ aaaaca
2. aaaacaaca ⇒ caaa
3. bcaaa ⇒ caaaaca
4. baacaaa ⇒ aaaaccaaa
5. cb ⇒ bc
6. bb ⇒ c
7. aaaacaaacaaca ⇒ bacaaa
8. aaaacaaccaaa ⇒ caacaaa
9. bccaaa ⇒ ccaaaaca
10. baaccaaa ⇒ aaaacccaaa
11. baacacaaa ⇒ aaaaccacaaa
12. bcaacaaa ⇒ caaaaccaaa
13. baabacaaa ⇒ aaaabcacaaa
14. aaaacaacccaaa ⇒ caaccaaa
15. bcccaaa ⇒ cccaaaaca
16. baacccaaa ⇒ aaaaccccaaa
17. bcaaccaaa ⇒ caaaacccaaa
18. bccaacaaa ⇒ ccaaaaccaaa
19. bccccaaa ⇒ ccccaaaaca
20. bcccccaaa ⇒ cccccaaaaca
...

Collecting factors up to length 6, frequency 5:

Length 2:[2/0] aa, [2/1] ca, [2/2] cc, [2/3] ac, [2/4] bc
Length 3:[3/0] aaa, [3/1] caa, [3/2] aac, [3/3] aca, [3/4] baa
Length 4:[4/0] caaa, [4/1] aaca, [4/2] ccaa, [4/3] acaa, [4/4] baac
Length 5:[5/0] ccaaa, [5/1] acaaa, [5/2] aacaa, [5/3] aaaac, [5/4] caaca

Considering [length 4 / frequency 1] aaca=d.

Step 3

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. aaaadacd ⇒ dad
2. aaaaaacd ⇒ daa
3. daca ⇒ aacd
4. aaca ⇒ d
5. aacdad ⇒ daaadacd
6. caad ⇒ aadacd
7. aacdaa ⇒ daaaaacd
8. caaa ⇒ aaaacd
9. bad ⇒ aadca
10. bdad ⇒ aadadacd
11. baad ⇒ aaaacd
12. bdaa ⇒ aadaaacd
13. baaa ⇒ aad
14. aaaacdca ⇒ cad
15. aadaaacdca ⇒ bdd
16. bcad ⇒ aadacdca
17. bacad ⇒ aadaacdca
18. cb ⇒ bc
19. bb ⇒ c
20. aaaacdacdca ⇒ ccad
...

Collecting factors up to length 6, frequency 5:

Length 2:[2/0] aa, [2/1] ca, [2/2] ad, [2/3] ac, [2/4] cd
Length 3:[3/0] aaa, [3/1] acd, [3/2] aac, [3/3] aad, [3/4] dca
Length 4:[4/0] aaaa, [4/1] aacd, [4/2] cdca, [4/3] aaac, [4/4] acdc
Length 5:[5/0] acdca, [5/1] aacda, [5/2] aaacd, [5/3] aaaac, [5/4] aaaaa

Considering [length 4 / frequency 1] aacd=e.

Step 4

Rewriting system is complete. See a, b | aaaabba=baaa.