#Code Sample A sample of Wolfram Language code from the master-functions repo. These functions transform tensor integrals into equivalent sums of simpler scalar integrals. See README.pdf in the CodeSample directory for more detailed information.

###Optimization Techniques:

• Nearly all of our subroutines harness the parallel computing capabilities of the Wolfram Language. Namely, the ParallelTable function was used generously.
• We devoted special care to the subroutine ContractionCycles, the workhorse of the tensor reduction. This subroutine handles metric tensor contractions and might be invoked millions of times per integral for millions of integrals. We reduced the problem of contracting metric tensors to that of finding the number of connected components in an undirected graph. By writing an efficient algorithm with good constants and using the Compile feature to generate compiled C code, we increased the speed of the computation by at least a factor of ten compared to native functions in the Wolfram Language.
• Once a reduction is processed, the final and intermediate results are stored for later retrieval.