`_remote_debugging`: binary format only `total_samples:u32`

Bug report

Bug description:

The binary format defines total_samples as just u32:

https://github.com/python/cpython/blob/540b3d0a7fa7cd842f064f79b1410cbd6868bffa/Modules/_remote_debugging/binary_io.h#L269

https://github.com/python/cpython/blob/540b3d0a7fa7cd842f064f79b1410cbd6868bffa/Modules/_remote_debugging/binary_io.h#L53-L54

That's not that much... With just 100khz:

Threads	overflow after...
1	~11.9 h
4	~3.0 h
10	~71 min
64	~11 min

especially if we aim for continous profiling of real production systems. But even of macOS, I'm observing ~0.5-1MHz on my mach_vm_remap branch already...

To make matters worse, since #150349 it results in OverflowError and the binary file is just corrupted:

2026-06-11T02:03:53.357502000+0200 maurycy@gimel /Users/maurycy/src/github.com/maurycy/cpython (vmremap 0bdde7f?) % ls -l /tmp/overflow.bin
-rw-r--r--@ 1 root  wheel  4894411257 Jun 11 01:45 /tmp/overflow.bin
2026-06-11T02:03:58.920689000+0200 maurycy@gimel /Users/maurycy/src/github.com/maurycy/cpython (vmremap 0bdde7f?) % head -c 128 /tmp/overflow.bin | xxd
00000000: 0000 0000 0000 0000 0000 0000 0000 0000  ................
00000010: 0000 0000 0000 0000 0000 0000 0000 0000  ................
00000020: 0000 0000 0000 0000 0000 0000 0000 0000  ................
00000030: 0000 0000 0000 0000 0000 0000 0000 0000  ................
00000040: 28b5 2ffd 0058 5c1d 013a d500 1621 8025  (./..X\..:...!.%
00000050: 49d2 0133 3003 331a 3330 3d32 35a9 ccc0  I..30.3.30=25...
00000060: 3aa9 049c b5d6 b69d d296 3122 4488 0c6d  :.........1"D..m
00000070: 0148 0150 014f 0946 32bd b931 318c b6de  .H.P.O.F2..11...

as the header is written on finalize:

https://github.com/python/cpython/blob/540b3d0a7fa7cd842f064f79b1410cbd6868bffa/Modules/_remote_debugging/binary_io_writer.c#L1074
https://github.com/python/cpython/blob/540b3d0a7fa7cd842f064f79b1410cbd6868bffa/Modules/_remote_debugging/binary_io_writer.c#L1196-L1223

To put aside that u32 is just too little, we should be graceful here.

Other fields seem to be fine, but need a double check here. I think that rotating files is a stop gap, and we need chunking.

Reproduction

(as a part of routine stress tests of https://github.com/maurycy/cpython/pull/3)

[130] 2026-06-10T23:35:58.225891000+0200 maurycy@gimel /Users/maurycy/src/github.com/maurycy/cpython (vmremap 92ad857*?) % sudo ./python.exe -m profiling.sampling run --binary -r 1000khz -d 25000 -o /tmp/overflow.bin --realtime-stats busywork.py
Stats: 647,833.9Hz (1.5µs) Min: 615,379.9Hz Max: 705,712.7Hz N=4294631818 Cache: 100.0% (4294631818+0/1)Traceback (most recent call last):
  File "<frozen runpy>", line 201, in _run_module_as_main
  File "<frozen runpy>", line 87, in _run_code
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/__main__.py", line 65, in <module>
    main()
    ~~~~^^
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/cli.py", line 977, in main
    _main()
    ~~~~~^^
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/cli.py", line 1133, in _main
    handler(args)
    ~~~~~~~^^^^^^
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/cli.py", line 1280, in _handle_run
    collector = sample(
        process.pid,
    ...<9 lines>...
        blocking=args.blocking,
    )
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/sample.py", line 504, in sample
    profiler.sample(collector, duration_sec, async_aware=async_aware)
    ~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/sample.py", line 167, in sample
    raise e from None
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/sample.py", line 155, in sample
    collector.collect(stack_frames)
    ~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^
  File "/Users/maurycy/src/github.com/maurycy/cpython/Lib/profiling/sampling/binary_collector.py", line 84, in collect
    self._writer.write_sample(stack_frames, timestamp_us)
    ~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^
OverflowError: too many samples for binary format
[1] 2026-06-11T01:47:42.249903000+0200 maurycy@gimel /Users/maurycy/src/github.com/maurycy/cpython (vmremap cd5a675*?) %

def hot_a(n):
    return sum(i * i for i in range(n))


def hot_b(n):
    return sum(i + i for i in range(n))


def worker():
    while True:
        hot_a(6_000_000)
        hot_b(6_000_000)


worker()

CPython versions tested on:

CPython main branch

Operating systems tested on:

macOS

Linked PRs

• gh-152892
• gh-153425
• gh-153436

Start with Modules/_remote_debugging/binary_io.h and binary_io_writer.c, then inspect Lib/profiling/sampling/binary_collector.py and the linked PRs gh-152892, gh-153425, and gh-153436. Reproduce with the provided profiling command and verify that high-rate sampling no longer raises OverflowError or leaves the binary output corrupted.