Wordle Stuff

Files

file	desc
envs.py	openai.gym reinforcement learning environment(s) for playing wordle
playground.ipynb	a notebook for playing around with envs and agents and some manual analysis
agent.py	agents that work in the env(s)
valid-words.csv	words that wordle accepts
word-bank.csv	possible correct wordle words
ppo.zip	trained ppo agent on env2
train.py	script for training stable_baselines agent
train_cont.py	script for continued training of existing agent
play_wordle.py	script to play wordle on env2 in the terminal

Run

play wordle in terminal

python play_wordle.py

train agent

python train.py

tensorboard

tensorboard --logdir ./ppo_wordle_tensorboard/

Stats

Letters

Position Frequency

This is the frequency of each letter in each position. For example the first (0th) letter is s in 15.8% of word bank words.

	0	freq	1	freq	2	freq	3	freq	4	freq
0	s	0.158099	a	0.131317	a	0.132613	e	0.137365	e	0.183153
1	c	0.0855292	o	0.120518	i	0.114903	n	0.0786177	y	0.157235
2	b	0.07473	r	0.115335	o	0.1054	s	0.0738661	t	0.109287
3	t	0.0643629	e	0.104536	e	0.0764579	a	0.0704104	r	0.0915767
4	p	0.0613391	i	0.087257	u	0.0712743	l	0.0699784	l	0.0673866
5	a	0.0609071	l	0.0868251	r	0.0704104	i	0.0682505	h	0.0600432
6	f	0.0587473	u	0.0803456	n	0.0600432	c	0.0656587	n	0.0561555
7	g	0.049676	h	0.062203	l	0.0483801	r	0.0656587	d	0.0509719
8	d	0.0479482	n	0.037581	t	0.0479482	t	0.0600432	k	0.0488121
9	m	0.0462203	t	0.0332613	s	0.0345572	o	0.0570194	a	0.0276458
10	r	0.0453564	p	0.0263499	d	0.0323974	u	0.0354212	o	0.025054
11	l	0.038013	w	0.0190065	g	0.0289417	g	0.0328294	p	0.0241901
12	w	0.0358531	c	0.0172786	m	0.0263499	d	0.0298056	m	0.0181425
13	e	0.0311015	m	0.0164147	p	0.025054	m	0.0293737	g	0.0177106
14	h	0.0298056	y	0.00993521	b	0.024622	k	0.0237581	s	0.0155508
15	v	0.0185745	d	0.00863931	c	0.0241901	p	0.0215983	c	0.0133909
16	o	0.0177106	b	0.00691145	v	0.0211663	v	0.0198704	f	0.0112311
17	n	0.0159827	s	0.00691145	y	0.012527	f	0.0151188	w	0.00734341
18	i	0.0146868	v	0.00647948	w	0.0112311	h	0.012095	i	0.00475162
19	u	0.0142549	x	0.00604752	f	0.0107991	w	0.0107991	b	0.00475162
20	q	0.00993521	g	0.00518359	k	0.00518359	b	0.0103672	x	0.00345572
21	k	0.00863931	k	0.00431965	x	0.00518359	z	0.00863931	z	0.00172786
22	j	0.00863931	f	0.00345572	z	0.00475162	x	0.0012959	u	0.000431965
23	y	0.00259179	q	0.00215983	h	0.00388769	y	0.0012959	nan	nan
24	z	0.0012959	z	0.000863931	j	0.0012959	j	0.000863931	nan	nan
25	nan	nan	j	0.000863931	q	0.000431965	nan	nan	nan	nan

Overall Frequency

The following summary stats are for letters in word bank words.

Definitions:

• words_contain - number of words that contain a letter
• words_contain_percent - %age of words that contain a letter
• freq - average number of a letter contained in a word
• freq_if_present - average number of a letter contained in a word for words that contain the letter
• max_freq - max number of times a letter is in a word

letter	words_contain	words_contain_percent	freq	freq_if_present	max_freq
a	909	0.392657	0.422894	1.07701	2
b	267	0.115335	0.121382	1.05243	3
c	448	0.193521	0.206048	1.06473	2
d	370	0.159827	0.169762	1.06216	3
e	1056	0.456156	0.532613	1.16761	3
f	207	0.0894168	0.0993521	1.11111	3
g	300	0.12959	0.134341	1.03667	2
h	379	0.163715	0.168035	1.02639	2
i	647	0.279482	0.289849	1.03709	2
j	27	0.0116631	0.0116631	1	1
k	202	0.087257	0.0907127	1.0396	2
l	648	0.279914	0.310583	1.10957	2
m	298	0.128726	0.136501	1.0604	3
n	550	0.237581	0.24838	1.04545	3
o	673	0.290713	0.325702	1.12036	2
p	346	0.14946	0.158531	1.06069	3
q	29	0.012527	0.012527	1	1
r	837	0.361555	0.388337	1.07407	3
s	618	0.266955	0.288985	1.08252	3
t	667	0.288121	0.314903	1.09295	3
u	457	0.197408	0.201728	1.02188	2
v	149	0.0643629	0.0660907	1.02685	2
w	194	0.0838013	0.0842333	1.00515	2
x	37	0.0159827	0.0159827	1	1
y	417	0.18013	0.183585	1.01918	2
z	35	0.0151188	0.0172786	1.14286	2

Best First Pick

Position Frequency

The following are the highest likelihood of correct letters in the correct place for word bank words (avg_score is the average number of correct letters in the correct place):

word	avg_score	in_bank
slate	0.620734	True
sauce	0.609503	True
slice	0.608639	True
shale	0.606048	True
saute	0.603888	True
share	0.601728	True
sooty	0.601296	True
shine	0.596976	True
suite	0.596544	True
crane	0.595248	True
saint	0.592225	True
soapy	0.590065	True
shone	0.587473	True
shire	0.584017	True
saucy	0.583585	True
slave	0.580562	True
sense	0.579698	True
cease	0.579698	True
saner	0.578402	True
stale	0.577106	True

and for all valid words:

word	avg_score	in_bank
saree	0.680346	False
sooey	0.678618	False
soree	0.669546	False
saine	0.666091	False
soare	0.660043	False
saice	0.653132	False
sease	0.652268	False
seare	0.64406	False
seine	0.639309	False
slane	0.639309	False
soole	0.637149	False
siree	0.636285	False
seise	0.634557	False
cooee	0.631965	False
soote	0.627214	False
slate	0.620734	True
soily	0.620734	False
soave	0.614255	False
samey	0.610367	False
sauce	0.609503	True

This is the same as above but avg_score also includes 0.5 for correct letters in the incorrect place. This is for word bank words:

word	avg_score	in_bank
stare	1.26026	True
arose	1.2486	True
slate	1.24536	True
raise	1.23564	True
arise	1.23542	True
saner	1.22981	True
snare	1.22916	True
irate	1.22721	True
stale	1.22354	True
crate	1.22073	True
trace	1.21296	True
later	1.20778	True
share	1.2013	True
store	1.19806	True
scare	1.19784	True
alter	1.19698	True
crane	1.19676	True
alert	1.18423	True
teary	1.18337	True
saute	1.18251	True

and all valid words:

word	avg_score	in_bank
soare	1.30929	False
roate	1.26307	False
stare	1.26026	True
arose	1.2486	True
orate	1.24665	False
slate	1.24536	True
raile	1.24449	False
raise	1.23564	True
arise	1.23542	True
strae	1.23153	False
saner	1.22981	True
snare	1.22916	True
salet	1.22721	False
irate	1.22721	True
saine	1.22441	False
stale	1.22354	True
slane	1.22138	False
taler	1.22117	False
crate	1.22073	True
ariel	1.22009	False

Overall Frequency

The following scores are the sum of unique letter words_contain_freq for word bank words:

word	score	in_bank
alter	1.7784	True
later	1.7784	True
alert	1.7784	True
irate	1.77797	True
arose	1.76803	True
stare	1.76544	True
raise	1.7568	True
arise	1.7568	True
learn	1.72786	True
renal	1.72786	True
saner	1.7149	True
snare	1.7149	True
cater	1.69201	True
trace	1.69201	True
react	1.69201	True
crate	1.69201	True
stale	1.6838	True
steal	1.6838	True
least	1.6838	True
slate	1.6838	True

and for valid words:

word	score	in_bank
oater	1.7892	False
roate	1.7892	False
orate	1.7892	False
realo	1.78099	False
taler	1.7784	False
artel	1.7784	False
ratel	1.7784	False
alert	1.7784	True
alter	1.7784	True
later	1.7784	True
terai	1.77797	False
irate	1.77797	True
retia	1.77797	False
raile	1.76976	False
ariel	1.76976	False
arose	1.76803	True
aeros	1.76803	False
soare	1.76803	False
taser	1.76544	False
strae	1.76544	False

Best Second Pick

If you chose alter and have no qualms about guessing words that don't contain any known letters:

word	score	in_bank
sonic	1.26825	True
scion	1.26825	True
noisy	1.25486	True
disco	1.1905	True
bison	1.19006	True
sound	1.15248	True
synod	1.13521	True
shiny	1.12786	True
spiny	1.11361	True
suing	1.11102	True
using	1.11102	True
minus	1.11015	True
bonus	1.10799	True
doing	1.09719	True
dingo	1.09719	True
spicy	1.06955	True
music	1.06609	True
snowy	1.05918	True
bingo	1.0527	True
hound	1.04924	True

and for oater:

word	score	in_bank
lysin	1.24406	False
linds	1.22376	False
sulci	1.21728	False
sling	1.19352	True
lings	1.19352	False
limns	1.19266	False
hilus	1.18747	False
blins	1.17927	False
incus	1.17495	False
pilus	1.17322	False
pulis	1.17322	False
shily	1.17019	False
clips	1.16933	False
idyls	1.16631	False
unlid	1.15421	False
linch	1.15421	False
gusli	1.15335	False
iglus	1.15335	False
muils	1.15248	False
simul	1.15248	False