S1 #11: the System App: tasks, memory, network and system, live

Five views, Tab between them: Overview (each core's load, memory,
traffic, battery, two minutes of load), Tasks (share of a core over the
last second, lowest free stack, flagged under 512 bytes; `s` sorts),
Memory (free heap against the floors of Q86), Network (bytes per
service, and what's moving now), System (what `info` prints, plus
battery, card, radio, GNSS). It samples once a second and keeps history
only while open.

The arithmetic is host-tested, including the trap found on the device: a
task's run-time counter only moves when it's switched out, so the task
that samples (the main loop, alone on its core) gets what's left of its
core. `tasks` now samples across a second of normal running instead of
inside its own wait. The main loop uses 100 % of core 1 at rest (#40).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01EhqxQ49eCju4CzKYNjZzwT

README.md

@@ -60,6 +60,18 @@ Each Saved Network gets its address automatically (DHCP) or has a Fixed one (doc
 
 "DNS and NTP" on the same screen holds two DNS servers (9.9.9.9 and 1.1.1.1 by default), used on Fixed networks, or on every network with "Always use my DNS"; and two NTP servers (pool.ntp.org and time.cloudflare.com), used after any the network's DHCP offers. Enter on "Status" shows what's in use and where each value came from.
 
+## System
+
+The System App (docs/milestones/S1.md) shows what the device is doing, live and read-only, in any build. Tab moves between five views:
+
+- **Overview:** each core's load, free memory, network traffic, battery, uptime and chip temperature, and both cores' load over the last two minutes.
+- **Tasks:** every FreeRTOS task with its core, its share of a core over the last second, and the least stack it ever had left (in the warning colour under 512 bytes). `s` sorts by share, stack or name.
+- **Memory:** free heap, the lowest since boot and the largest free block, with two minutes of free heap drawn against the three memory floors (55, 40 and 20 KB).
+- **Network:** the connection, then for IRC, Gemini, the Debug Console and Firmware Updates the bytes read and written since boot and what's moving now. For TLS connections these are the bytes the service sees, without the encryption overhead.
+- **System:** what `info` prints, plus the battery, the SD card with its write faults, the radio and the GNSS receiver.
+
+It samples once a second and keeps its history only while it's open.
+
 ## Gemini
 
 The Gemini App browses Geminispace (docs/milestones/G1.md): Tab and Shift+Tab pick a link, Enter follows it, Back returns (to where the page was scrolled), Space pages down, `g` types an address. Certificates are trusted on first use; a changed one stops the page and asks.
@@ -95,7 +107,8 @@ The LoRa Scanner (docs/milestones/M3.md) listens with the Cap's radio and **neve
 | `irc dump` | Prints IRC status, memory, and the last lines of each Buffer |
 | `wifi status` | Prints Wi-Fi state, network, signal, clock and free heap, then the address, gateway, DNS and NTP servers in use and where each came from |
 | `info` | Firmware, uptime, last start reason, memory, Wi-Fi, the SD card and its write faults since boot, and both app slots with their versions and OTA states |
-| `tasks` | FreeRTOS tasks: state, priority, lowest free stack, CPU share |
+| `tasks` | FreeRTOS tasks over the next second: state, priority, lowest free stack, share of a core, and each core's load |
+| `net` | Bytes each network service has read and written since boot |
 | `reboot` / `boot other` | Restart, or restart into the other app slot (a manual Rollback) |
 | `log level <0-5>` | ESP-IDF log level |
 | `ls [folder]` / `rm <path>` | Lists a folder of the SD card, or deletes a file |