A brute-force search for simple math problems found three integrals that the world's best software is completely unable to solve.

Exhaustive symbolic integration reveals massive blind spots in industry-standard tools like Mathematica and SymPy. By enumerating every possible symbolic function up to a certain complexity, researchers mapped the entire landscape of what can be solved. They discovered that current smart solvers miss fundamental solutions that a basic systematic search can find. This brute force approach to logic proves that human-designed algorithms have systematic biases in how they approach math. It suggests that our most powerful mathematical tools are missing a significant portion of solvable reality.