Here is the most quoted spelling rule in English. I before e, except after c. Most people who have learned English have heard it, and many repeat it when they are not sure how to spell believe or receive.
The lab runs it on every ie and ei in the 2,800 words. There are 58. The rule says ie unless the letter before the pair is c, and then it says ei.
The score
The rule is right on 36 of the 58, which is 62.1%. Twenty-two words break it. In a list of the 2,800 commonest words, that is a saying that is wrong more often than it is worth.
Those 22 are not spread about at random. Sorted, they make three groups.
The three kinds of miss
The first group is eigh: eight, eighteen, eighty, weigh, weight, neighbor, neighborhood and height. That is eight words. In most of them the letters say ay, so they are not about ee at all. Height is said with the sound of the word eye, which is a different case again.
The second group is cie: ancient, efficiency, efficient, science, scientific, scientist, society, species and sufficient. That is nine words. They are the part of the saying that fails after c: the rule says ei there, and every one of them has ie.
The third group is five words that stand alone: either, neither, foreign, protein and weird. Each has ei with no c before it, and each is said its own way.
A better question
The saying was made to help with words said with ee. So the lab can ask a second question: how often is the rule right where the letters line up with the parts of the word, the beats it is said in, and the dictionary, a book that records how words are said, has ee at that place? That leaves 18 words, and the rule is right on 14, which is 77.8%.
Forty words were set aside. Fourteen do not line up, which means the letters and the parts of the word cannot be matched one to one, and 26 are said with something other than ee at that place. The four misses are either, neither, protein and species. The first three have ei with no c, and the last has ie after a c.
What to keep
Keep the first half of the saying for words said with ee. Learn either, neither and protein as three words. Learn that after c the saying is right only where the pair says ee, as in receive; in the nine cie words the i and the e are said apart, as in science, or the c is part of a sh sound, as in efficient. Learn that eigh is a group of its own. With those four facts, you have a better rule than the saying.