First and second Tchebychev polynomial curves are generated and pass through first and second data points representing previous failures of a first and second computer system of a computer network, respectively. The coordinates of each first and second data point denote a time of occurrence of the failure of the first and second computer system and a severity of the failure of the first and second computer system, respectively. A third Tchebychev polynomial curve passing through the peaks of the first and second Tchebychev polynomial curves is generated. A highest peak of the third Tchebychev polynomial curve is identified and determined to be a high risk failure that occurred on the first or second computer system and generates significant risk to the computer network, causing other computers to add redundancy to minimize the significant risk to the computer network from a future occurrence of the high risk failure.