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Here are some ways to avoid encountering a JavaScript heap out of memory error when attempting to execute a complicated function:

1. Increase the heap size: You can try increasing the maximum size of the heap by running the following command before running your code:

node --max-old-space-size=<size in="" mb="">

1. Optimize the code: You can try to optimize the code by removing unnecessary variables and functions, reducing the number of loops, and breaking down the complex function into smaller, manageable functions.

2. Use streams: If your function is dealing with large files, you can try using streams to read and write data in chunks rather than attempting to read the entire file into memory.

3. Use a module: You can look for existing modules that might perform the function you need and use them in your program rather than coding it from scratch.

4. Use pagination: If you're working with a large dataset, try using pagination techniques to break it down into smaller parts and process them one at a time.

5. Use garbage collection: JavaScript has a garbage collector that frees up memory that is no longer in use. You can try manually triggering the garbage collector by calling "global.gc()" periodically.

6. Use worker threads or child processes: You can use worker threads or child processes to run your function in a separate thread or process to avoid overwhelming the main thread's memory.