What is the word for a non-creative task?

I would suggest the word "menial". I assume you're trying to draw a contrast between the use of higher and lower function. However, building a wall is not as menial as cleaning. Perhaps you should consider changing that piece of your sentence.

menial –MW

noun: used to describe boring or unpleasant work that does not require special skill and usually does not pay much money

adjective: lacking interest or dignity (a menial task)

"More Effort" is good for menial tasks, but not when it comes to creative tasks.


Rote

  1. routine; a fixed, habitual, or mechanical course of procedure: the rote of daily living.
  2. proceeding mechanically and repetitiously; being mechanical and repetitious in nature; routine; habitual: rote performance; rote implementation;

Almost all the existing answers have a negative connotation, and imply the non-creative tasks are unskilled or aren't respect-worthy.

This doesn't suit many highly skilled non-creative tasks, from bricklaying (in the asker's example, a highly skilled trade) to landing a plane or anaesthetising a patient. Here's an answer that works for non-creative tasks of all skill levels.

Procedural tasks

Example from Indiana University content:

A procedural task involves performing a procedure, which is a sequence of activities to achieve a goal.

The difference between creative, procedural and declarative aptitudes and knowledge is quite an important one in education research and applied psychology. Here's an example:

I like Bill Butts and I cannot lie

These are tasks that use "how-to" procedural knowledge:

Procedural knowledge, also known as imperative knowledge, is the knowledge exercised in the performance of some task

...which isn't limited to "grunt work", but also includes things like, for example, performing the core procedures involved in a certain type of surgery correctly each time. Much like the asker's example sentence, much education research around learning procedural skills does emphasise the importance of repetition and focussed effort, for example in the context of medical training:

Evaluating clinical simulations for learning procedural skills... (1) Simulations should allow for sustained, deliberate practice within a safe environment, ensuring that recently-acquired skills are consolidated...


A slang term for this is grunt work.

http://www.dictionary.com/browse/grunt-work

http://www.urbandictionary.com/define.php?term=grunt+work