Every noun that you can count has two forms: one for one thing and one for more than one. The second is called the plural. You have met the main rule for making it: it is the -s rule of Tense Tables, which put -s on a verb after he, she and it. This lesson runs the same rule on nouns and counts how often it is right.
The lab holds 1,887 nouns from the word list, each with the plural forms the dictionary confirms for it. The rule makes a form for each. If the form is one the dictionary has, the rule is right for that noun. The rule has three parts: add -s; add -es after a hiss; change a consonant and y to ies.
How often the three parts are right
Counted on this page, the rule is right for 1,866 of the 1,887 nouns, which is 98.9%. That is a rule you can use with no further thought, and the table at the bottom of the lab prints the 21 nouns where it is wrong.
Reading the 21
Nine are old plural forms that no ending makes. Seven of them change the vowel in the middle of the word: man, woman, foot, tooth, mouse, chairman and gentleman. Child adds an ending of its own, children, and die has dice. Five end in f or fe and take ves: half, life, self, shelf, wife. Five come from Greek: analysis, crisis, emphasis, hypothesis and phenomenon. The last two are single cases. Potato takes -es after an o. Stomach ends in the letters ch, but they say k, so the hiss part gives the wrong form.
That is five reasons, and the longest list under any of them has nine words. The rule plus these five short lists is enough for every noun in the table.
Three ways to improve it
An obvious next step is to add a rule for each group. The lab lets you add three, one at a time, and score the result on the same 1,887 nouns. Each one comes from a good reason. Each one fits the nouns that made you think of it.
Add the -oes part for a consonant and o, and the score falls by two, to 1,864. It gains potato. It loses photo, piano and pro. Add to that the idea that f or fe becomes ves, and the score falls to 1,861. It gains half, life, self, shelf and wife, and loses belief, brief, chief, golf, proof, relief, roof and safe.
The version that helps
The third change keeps the -oes part and replaces the idea about f with a narrow one: use ves only after -lf, -ife, -eaf or -olf. That raises the score to 1,868 of 1,887, which is 99.0%. It still loses photo, piano and pro, and it breaks golf, which ends in -lf but is golfs. It fixes the five f nouns. Leaf and wolf, which two of its endings are written for, are not in the list at all. The size of the endings it names is what makes the difference.
The gain is two nouns over the rule with three parts, and the cost is a rule with a list of endings inside it. For most readers the better choice is the plain rule and the short lists.
What the table cannot tell you
The dictionary says which forms exist, not which one is common. Where it has two forms, the lab counts the rule as right if it makes either one. The words come from a list of two thousand eight hundred common words, so rare nouns, which have more irregular plural forms, are not in the table.