D = 50
n = 60
X = matrix(exp(rnorm(D*n)), ncol = D)
microbenchmark::microbenchmark(
MASS::ginv(cov(coordinates(X, 'clr'))),
ilr_basis(D) %*% chol2inv(chol(cov(coordinates(X)))) %*% t(ilr_basis(D)))
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