fix(worktree): Cache git detection results to eliminate slowness (bd-7di)

In git worktrees, any bd command was slow with a 2-3s pause because:
- git.IsWorktree() was called 4+ times per command
- Each call spawned 2 git processes (git-dir and git-common-dir)
- git.GetRepoRoot() and git.GetMainRepoRoot() also called multiple times

Fix: Cache results using sync.Once since these values do not change during
a single command execution:
- IsWorktree() - caches worktree detection
- GetRepoRoot() - caches repo root path
- GetMainRepoRoot() - caches main repo root for worktrees

Added ResetCaches() for test cleanup between subtests that change directories.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

internal/beads/beads_test.go

@@ -5,6 +5,8 @@ import (
 	"os/exec"
 	"path/filepath"
 	"testing"
+
+	"github.com/steveyegge/beads/internal/git"
 )
 
 func TestFindDatabasePathEnvVar(t *testing.T) {
@@ -821,6 +823,7 @@ func TestFindGitRoot_RegularRepo(t *testing.T) {
 	}
 
 	t.Chdir(subDir)
+	git.ResetCaches() // Reset after chdir for caching tests
 
 	// findGitRoot should return the repo root
 	result := findGitRoot()
@@ -897,6 +900,7 @@ func TestFindGitRoot_Worktree(t *testing.T) {
 
 	// Change to the worktree directory
 	t.Chdir(worktreeDir)
+	git.ResetCaches() // Reset after chdir for caching tests
 
 	// findGitRoot should return the WORKTREE root, not the main repo root
 	result := findGitRoot()
@@ -927,6 +931,7 @@ func TestFindGitRoot_NotGitRepo(t *testing.T) {
 	defer os.RemoveAll(tmpDir)
 
 	t.Chdir(tmpDir)
+	git.ResetCaches() // Reset after chdir for caching tests
 
 	// findGitRoot should return empty string
 	result := findGitRoot()
@@ -1024,6 +1029,7 @@ func TestFindBeadsDir_Worktree(t *testing.T) {
 
 	// Change to worktree
 	t.Chdir(worktreeDir)
+	git.ResetCaches() // Reset after chdir for caching tests
 
 	// FindBeadsDir should prioritize the main repo's .beads for worktrees (bd-de6)
 	result := FindBeadsDir()
@@ -1134,6 +1140,7 @@ func TestFindDatabasePath_Worktree(t *testing.T) {
 		t.Fatal(err)
 	}
 	t.Chdir(worktreeSubDir)
+	git.ResetCaches() // Reset after chdir for caching tests
 
 	// FindDatabasePath should find the main repo's shared database
 	result := FindDatabasePath()
@@ -1241,6 +1248,7 @@ func TestFindDatabasePath_WorktreeNoLocalDB(t *testing.T) {
 
 	// Change to worktree
 	t.Chdir(worktreeDir)
+	git.ResetCaches() // Reset after chdir for caching tests
 
 	// FindDatabasePath should find the main repo's shared database
 	result := FindDatabasePath()

internal/git/gitdir.go

@@ -93,6 +93,13 @@ func isWorktreeUncached() bool {
 	return absGit != absCommon
 }
 
+// mainRepoRootOnce ensures we only get main repo root once per process.
+var (
+	mainRepoRootOnce   sync.Once
+	mainRepoRootResult string
+	mainRepoRootErr    error
+)
+
 // GetMainRepoRoot returns the main repository root directory.
 // When in a worktree, this returns the main repository root.
 // Otherwise, it returns the regular repository root.
@@ -101,7 +108,16 @@ func isWorktreeUncached() bool {
 // /project/.worktrees/feature/), this correctly returns the main repo
 // root (/project/) by using git rev-parse --git-common-dir which always
 // points to the main repo's .git directory. (GH#509)
+// The result is cached after the first call.
 func GetMainRepoRoot() (string, error) {
+	mainRepoRootOnce.Do(func() {
+		mainRepoRootResult, mainRepoRootErr = getMainRepoRootUncached()
+	})
+	return mainRepoRootResult, mainRepoRootErr
+}
+
+// getMainRepoRootUncached performs the actual main repo root lookup without caching.
+func getMainRepoRootUncached() (string, error) {
 	// Use --git-common-dir which always returns the main repo's .git directory,
 	// even when running from within a worktree or its subdirectories.
 	// This is the most reliable method for finding the main repo root.
@@ -191,3 +207,17 @@ func getGitDirNoError(flag string) string {
 	}
 	return strings.TrimSpace(string(out))
 }
+
+// ResetCaches resets all cached git information. This is intended for use
+// by tests that need to change directory between subtests.
+// In production, these caches are safe because the working directory
+// doesn't change during a single command execution.
+func ResetCaches() {
+	isWorktreeOnce = sync.Once{}
+	isWorktreeResult = false
+	mainRepoRootOnce = sync.Once{}
+	mainRepoRootResult = ""
+	mainRepoRootErr = nil
+	repoRootOnce = sync.Once{}
+	repoRootResult = ""
+}

internal/git/worktree_test.go

@@ -864,6 +864,7 @@ func TestCountJSONLIssues(t *testing.T) {
 // TestGetMainRepoRoot tests the GetMainRepoRoot function for various scenarios
 func TestGetMainRepoRoot(t *testing.T) {
 	t.Run("returns correct root for regular repo", func(t *testing.T) {
+		ResetCaches() // Reset caches from previous subtests
 		repoPath, cleanup := setupTestRepo(t)
 		defer cleanup()
 
@@ -877,6 +878,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 		if err := os.Chdir(repoPath); err != nil {
 			t.Fatalf("Failed to chdir to repo: %v", err)
 		}
+		ResetCaches() // Reset after chdir
 
 		root, err := GetMainRepoRoot()
 		if err != nil {
@@ -893,6 +895,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 	})
 
 	t.Run("returns main repo root from worktree", func(t *testing.T) {
+		ResetCaches() // Reset caches from previous subtests
 		repoPath, cleanup := setupTestRepo(t)
 		defer cleanup()
 
@@ -913,6 +916,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 		if err := os.Chdir(worktreePath); err != nil {
 			t.Fatalf("Failed to chdir to worktree: %v", err)
 		}
+		ResetCaches() // Reset after chdir
 
 		root, err := GetMainRepoRoot()
 		if err != nil {
@@ -929,6 +933,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 	})
 
 	t.Run("returns main repo root from nested worktree (GH#509)", func(t *testing.T) {
+		ResetCaches() // Reset caches from previous subtests
 		repoPath, cleanup := setupTestRepo(t)
 		defer cleanup()
 
@@ -950,6 +955,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 		if err := os.Chdir(nestedWorktreePath); err != nil {
 			t.Fatalf("Failed to chdir to nested worktree: %v", err)
 		}
+		ResetCaches() // Reset after chdir
 
 		root, err := GetMainRepoRoot()
 		if err != nil {
@@ -966,6 +972,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 	})
 
 	t.Run("returns main repo root from subdirectory of nested worktree", func(t *testing.T) {
+		ResetCaches() // Reset caches from previous subtests
 		repoPath, cleanup := setupTestRepo(t)
 		defer cleanup()
 
@@ -993,6 +1000,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 		if err := os.Chdir(subDir); err != nil {
 			t.Fatalf("Failed to chdir to subdir: %v", err)
 		}
+		ResetCaches() // Reset after chdir
 
 		root, err := GetMainRepoRoot()
 		if err != nil {
@@ -1012,6 +1020,7 @@ func TestGetMainRepoRoot(t *testing.T) {
 // TestIsWorktree tests the IsWorktree function
 func TestIsWorktree(t *testing.T) {
 	t.Run("returns false for regular repo", func(t *testing.T) {
+		ResetCaches() // Reset caches from previous subtests
 		repoPath, cleanup := setupTestRepo(t)
 		defer cleanup()
 
@@ -1024,6 +1033,7 @@ func TestIsWorktree(t *testing.T) {
 		if err := os.Chdir(repoPath); err != nil {
 			t.Fatalf("Failed to chdir to repo: %v", err)
 		}
+		ResetCaches() // Reset after chdir
 
 		if IsWorktree() {
 			t.Error("IsWorktree() should return false for regular repo")
@@ -1031,6 +1041,7 @@ func TestIsWorktree(t *testing.T) {
 	})
 
 	t.Run("returns true for worktree", func(t *testing.T) {
+		ResetCaches() // Reset caches from previous subtests
 		repoPath, cleanup := setupTestRepo(t)
 		defer cleanup()
 
@@ -1051,6 +1062,7 @@ func TestIsWorktree(t *testing.T) {
 			t.Fatalf("Failed to chdir to worktree: %v", err)
 		}
 
+		ResetCaches() // Reset after chdir to worktree
 		if !IsWorktree() {
 			t.Error("IsWorktree() should return true for worktree")
 		}