sort, as a permutation, in energy.

timed("sort_perm", lambda: df["amount"].arg_sort())

timed("sort_perm", lambda: np.argsort(amount.to_numpy(), kind="stable"))

 194  l.t = csv::parse(raw);
 337  const double f5 = timeIt([&] { Bitmap b = compareDoubles(amt.data(), n, Cmp::Gt, 500, &pool); sink = b.words[0]; }, 7);
 372  const double s4 = timeIt([&] { sortIndexByDouble(amt.data(), n, perm, &pool); sink = perm[0]; }, 3);
 454  const double a5 = G <= 16 ? timeIt([&] { groupSumAnyOrder(amtP, idP, n, G, &pool, pairTotal); sink = static_cast<size_t>(pairTotal[0]); }, 9) : 0;

// sort.h — stable O(n) sorting of row indices by a double key (parallel radix).
// JS numeric sort semantics: NaN sorts as -Infinity; ties keep input order.

// Fills `idx` with the stable ascending order of keys[0..n). pool may be null.
void sortIndexByDouble(const double* keys, size_t n, std::vector<uint32_t>& idx, Pool* pool);

// energy.h — what a process has used, as the operating system's own ledger has it: the energy it was billed,
// its processor time, the wake-ups it caused. The one reader of that ledger, for two questions:
//   what a kernel costs — the Evals page's Energy view (bench_engine_options.cpp reads it around each kernel;
//     tools/energy/energy.cpp checks the counter and reads it for a command it runs;
//     bench/lang/python/yardstick.py reads the same field; PHD.md section 33)
//   what a process costs at rest — the idle studies (scripts/idle_cost.sh and scripts/idle_server.py take
//     `neon_energy --pid <pid>` twice and subtract; PHD.md section 31.1)
//
// macOS on Apple silicon: proc_pid_rusage(RUSAGE_INFO_V6). ri_energy_nj — nanojoules billed to the process's
// threads for the processor cores they ran on, since it started. Not the memory, the disk or the screen, and
// not the machine at rest: what running this code added. (Not ri_billed_energy: against half a second of a
// busy loop that field read 0.08 mJ where ri_energy_nj read 1,887.) Beside it, processor time in nanoseconds
// — `ps` has hundredths of a second, more than a resting window uses in a minute — and the wake-ups. No
// privilege is needed, and any process of the same user can be read, so a tree of processes can be summed.
// Linux: /proc/<pid>/stat and /proc/<pid>/status — clock ticks and context switches. No energy: RAPL is one
// figure for the whole machine and root's to read.
// Elsewhere: nothing is read (ok stays false).
//
// A reading is cumulative; a measurement is the difference of two. The counter moves in steps (a thread's
// share is settled when it leaves a core or enters the kernel), so a window should be a quarter of a second
// or more: `neon_energy --check` prints how far apart the steps are on the machine it runs on.