perf: optimize polling with caching and event-driven approach (P1-2)

- CLI binary detection cached with 60s TTL
- Settings poll replaced with visibility/focus events
- Health check uses adaptive backoff (30s → 60s when stable)

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/components/layout/AppShell.tsx

@@ -150,11 +150,20 @@ export function AppShell({ children }: { children: React.ReactNode }) {
     }
   }, []);
 
-  // Poll periodically so the indicator stays in sync when settings change
+  // Re-fetch when window gains focus / becomes visible instead of polling every 5s
   useEffect(() => {
     fetchSkipPermissions();
-    const id = setInterval(fetchSkipPermissions, 5000);
-    return () => clearInterval(id);
+    const handleVisibility = () => {
+      if (document.visibilityState === "visible") {
+        fetchSkipPermissions();
+      }
+    };
+    document.addEventListener("visibilitychange", handleVisibility);
+    window.addEventListener("focus", fetchSkipPermissions);
+    return () => {
+      document.removeEventListener("visibilitychange", handleVisibility);
+      window.removeEventListener("focus", fetchSkipPermissions);
+    };
   }, [fetchSkipPermissions]);
 
   // --- Update check state ---

src/components/layout/ConnectionStatus.tsx

@@ -1,6 +1,6 @@
 "use client";
 
-import { useEffect, useState, useCallback } from "react";
+import { useEffect, useState, useCallback, useRef } from "react";
 import {
   Dialog,
   DialogContent,
@@ -17,26 +17,67 @@ interface ClaudeStatus {
   version: string | null;
 }
 
+const BASE_INTERVAL = 30_000; // 30s
+const BACKED_OFF_INTERVAL = 60_000; // 60s after 3 consecutive stable results
+const STABLE_THRESHOLD = 3;
+
 export function ConnectionStatus() {
   const [status, setStatus] = useState<ClaudeStatus | null>(null);
   const [dialogOpen, setDialogOpen] = useState(false);
+  const stableCountRef = useRef(0);
+  const lastConnectedRef = useRef<boolean | null>(null);
+  const timerRef = useRef<ReturnType<typeof setTimeout> | null>(null);
+
+  // Use a ref-based approach to avoid circular deps between check and schedule
+  const checkRef = useRef<() => void>(() => {});
+
+  const schedule = useCallback(() => {
+    if (timerRef.current) clearTimeout(timerRef.current);
+    const interval = stableCountRef.current >= STABLE_THRESHOLD
+      ? BACKED_OFF_INTERVAL
+      : BASE_INTERVAL;
+    timerRef.current = setTimeout(() => checkRef.current(), interval);
+  }, []);
 
   const checkStatus = useCallback(async () => {
     try {
       const res = await fetch("/api/claude-status");
       if (res.ok) {
         const data: ClaudeStatus = await res.json();
+        if (lastConnectedRef.current === data.connected) {
+          stableCountRef.current++;
+        } else {
+          stableCountRef.current = 0;
+        }
+        lastConnectedRef.current = data.connected;
         setStatus(data);
       }
     } catch {
+      if (lastConnectedRef.current === false) {
+        stableCountRef.current++;
+      } else {
+        stableCountRef.current = 0;
+      }
+      lastConnectedRef.current = false;
       setStatus({ connected: false, version: null });
     }
-  }, []);
+    schedule();
+  }, [schedule]);
 
   useEffect(() => {
+    checkRef.current = checkStatus;
+  }, [checkStatus]);
+
+  useEffect(() => {
+    checkStatus(); // eslint-disable-line react-hooks/set-state-in-effect -- setState is called asynchronously after fetch
+    return () => {
+      if (timerRef.current) clearTimeout(timerRef.current);
+    };
+  }, [checkStatus]);
+
+  const handleManualRefresh = useCallback(() => {
+    stableCountRef.current = 0;
     checkStatus();
-    const interval = setInterval(checkStatus, 30000);
-    return () => clearInterval(interval);
   }, [checkStatus]);
 
   const connected = status?.connected ?? false;
@@ -127,9 +168,7 @@ export function ConnectionStatus() {
           <DialogFooter>
             <Button
               variant="outline"
-              onClick={() => {
-                checkStatus();
-              }}
+              onClick={handleManualRefresh}
             >
               Refresh
             </Button>

src/lib/platform.ts

@@ -95,11 +95,28 @@ export function getExpandedPath(): string {
   return parts.join(path.delimiter);
 }
 
+// TTL cache for findClaudeBinary to avoid repeated filesystem probes
+let _cachedBinaryPath: string | undefined | null = null; // null = not cached
+let _cachedBinaryTimestamp = 0;
+const BINARY_CACHE_TTL = 60_000; // 60 seconds
+
 /**
  * Find and validate the Claude CLI binary.
- * Tests each candidate with --version before returning.
+ * Results are cached for 60s to avoid redundant filesystem probes on every poll.
  */
 export function findClaudeBinary(): string | undefined {
+  const now = Date.now();
+  if (_cachedBinaryPath !== null && now - _cachedBinaryTimestamp < BINARY_CACHE_TTL) {
+    return _cachedBinaryPath;
+  }
+
+  const found = _findClaudeBinaryUncached();
+  _cachedBinaryPath = found;
+  _cachedBinaryTimestamp = now;
+  return found;
+}
+
+function _findClaudeBinaryUncached(): string | undefined {
   // Try known candidate paths first
   for (const p of getClaudeCandidatePaths()) {
     try {