In the observed cases, the rule seems to hold true for most inputs, categorizing them into distinct domains represented by the code (d1, d2, d3). However, it is important to note that the provided experiments are limited, and there may be inputs where the function does not categorize them as expected. To determine the full domain and any potential corruptions to the rule, further experimentation with a larger sample of inputs would be required.

Please let me know if you would like me to perform additional experiments or if there is anything else I can assist you with.