Error message running RStan example using R 4.4.1, rstan 2.32.6

Summary

Complete documentation of verification of rstan using the RStan example.

Description:

For new stan users like myself, the below could use clarification:

1. In the section Verifying Installation, there is missing text after "You may also see the warning:"

"To verify your installation, you can run the RStan example/test model:
example(stan_model, package = "rstan", run.dontrun = TRUE)
The model should then compile and sample. You may also see the warning:"

The error message I get is:
Compilation ERROR, function(s)/method(s) not created!
Error in compileCode(f, code, language = language, verbose = verbose) :
Error in system(paste(MAKE, p1(paste("-f", shQuote(makefiles))), "compilers"), : 'make' not foundCalls: -> .shlib_internal -> systemExecution halted

I'm unclear if this is the expected error or already indicates a different issue in the installation that I need to address.

2. The full set of error messages I get after running library("rstan"):
   [Addressed in Getting Started]
   For execution on a local, multicore CPU with excess RAM we recommend calling
   options(mc.cores = parallel::detectCores()).

[Addressed in Getting Started]
To avoid recompilation of unchanged Stan programs, we recommend calling
rstan_options(auto_write = TRUE)

[Can you address this in the documentation?]
For within-chain threading using reduce_sum() or map_rect() Stan functions,
change threads_per_chain option:
rstan_options(threads_per_chain = 1)

[Unique to Windows, but not clear how to check "if your Makevars.win file does not contain this flag"]
Do not specify '-march=native' in 'LOCAL_CPPFLAGS' or a Makevars file

3. Under Example 1, File -> New File -> Stan File generates a simple stan model with a header (below). It would be helpful to mention whether this should be kept or not when copying over the specified code for schools.stan and make clear
   that schools_dat.. and fit... go in the console or a separate .R file.
   //
   // This Stan program defines a simple model, with a
   // vector of values 'y' modeled as normally distributed
   // with mean 'mu' and standard deviation 'sigma'.
   //
   // Learn more about model development with Stan at:
   //
   // http://mc-stan.org/users/interfaces/rstan.html
   // https://github.com/stan-dev/rstan/wiki/RStan-Getting-Started
   //

// The input data is a vector 'y' of length 'N'.
data {
int<lower=0> N;
vector[N] y;
}

// The parameters accepted by the model. Our model
// accepts two parameters 'mu' and 'sigma'.
parameters {
real mu;
real<lower=0> sigma;
}

// The model to be estimated. We model the output
// 'y' to be normally distributed with mean 'mu'
// and standard deviation 'sigma'.
model {
y ~ normal(mu, sigma);
}

RStan Version:

2.32.6

R Version:

"R version 4.4.1 (2024-06-14 ucrt)"

Operating System:

Windows 10Pro v.22H2

Review the Verifying Installation, Getting Started, and Example 1 sections referenced in the issue, using the supplied RStan example and Windows error output as the starting point. Clarify the expected make warning, RStan options, the Makevars.win guidance, the generated Stan header, and where the schools.stan, schools_dat, and fit code belong. Done means a new Windows RStan user can follow the example and distinguish an installation problem from an expected warning.