What might be causing my hybrid algorithm that combines quicksort and insertion sort to not function correctly?

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There can be several reasons why your hybrid algorithm that combines quicksort and insertion sort might not function correctly:

1. Bug in the code: There might be a bug in your implementation of the hybrid algorithm which is causing it to not function properly.

2. Improper implementation: The implementation of the hybrid algorithm might not be done correctly. For example, incorrect parameters or incorrectly selecting the pivot.

3. Poorly performing quicksort: The quicksort algorithm can perform poorly on small input sizes, which might lead to slower performance than insertion sort.

4. Poorly performing insertion sort: The insertion sort algorithm requires a lot of comparisons to be made between the array elements, which might lead to slower performance than quicksort.

5. Insufficient testing: You might not have tested the hybrid algorithm with sufficient test cases, which can lead to incorrect results.

6. Data distribution: If the data is not distributed evenly, the performance of quicksort and insertion sort can differ significantly, leading to poorer performance of the hybrid algorithm.

7. Improper tuning of thresholds: The thresholds for choosing between quicksort and insertion sort might not be appropriately tuned, leading to poor performance of the hybrid algorithm.