Brute-forcing all possible outcomes of a chess game is an incredibly complex task due to the large branching factor of the game tree. The number of possible unique chess games is estimated to be around 10^120, which is an astronomical number.
To calculate the computing power required to brute-force all these outcomes, we need to consider the average number of positions evaluated per second (nodes per second) and the time required to evaluate each position.
The exact computing power required will depend on various factors, such as the hardware used, the efficiency of the search algorithm, and the evaluation function. However, I can provide a rough estimation based on some assumptions.
Let's assume that we can evaluate one million positions per second (1,000,000 nodes per second) and it takes one microsecond (0.000001 seconds) to evaluate each position. This is a generous assumption for the sake of estimation.
The total number of positions to evaluate is approximately 10^120. So, the total time required to evaluate all these positions can be calculated as follows:
10^120 positions / (1,000,000 positions per second * 0.000001 seconds per position)
Simplifying the calculation:
10^120 / (1 * 10^6 * 10^-6) = 10^120 / 1 = 10^120 seconds
Now, let's convert this into a more meaningful unit like years:
10^120 seconds / (60 seconds * 60 minutes * 24 hours * 365.25 days)
Simplifying the calculation:
10^120 / (60 * 60 * 24 * 365.25) = 10^120 / (60 * 60 * 24 * 365.25) ≈ 3.17 * 10^102 years
As you can see, the estimated time required to brute-force all possible outcomes of a chess game is incredibly long—billions of orders of magnitude longer than the current age of the universe.
Keep in mind that these calculations are based on rough estimations and assumptions. In reality, brute-forcing all possible chess games is an impractical and infeasible approach due to the enormous computational resources and time required. Instead, chess-playing programs utilize advanced algorithms, heuristics, and selective search techniques to evaluate the most promising moves and positions within a reasonable timeframe.