feat: Improve formatting performance time

tools/server/webui/src/lib/components/app/chat/ChatMessages/ChatMessageStatistics.svelte

@@ -4,6 +4,7 @@
 	import * as Tooltip from '$lib/components/ui/tooltip';
 	import { ChatMessageStatsView } from '$lib/enums';
 	import type { ChatMessageAgenticTimings } from '$lib/types/chat';
+	import { formatPerformanceTime } from '$lib/utils/formatters';
 
 	interface Props {
 		predictedTokens?: number;
@@ -89,8 +90,8 @@
 			: 0
 	);
 
-	let agenticToolsTimeInSeconds = $derived(
-		hasAgenticStats ? (agenticTimings!.toolsMs / 1000).toFixed(2) : '0.00'
+	let formattedAgenticToolsTime = $derived(
+		hasAgenticStats ? formatPerformanceTime(agenticTimings!.toolsMs) : '0s'
 	);
 
 	let agenticTotalTimeMs = $derived(
@@ -99,7 +100,7 @@
 			: 0
 	);
 
-	let agenticTotalTimeInSeconds = $derived((agenticTotalTimeMs / 1000).toFixed(2));
+	let formattedAgenticTotalTime = $derived(formatPerformanceTime(agenticTotalTimeMs));
 </script>
 
 <div class="inline-flex items-center text-xs text-muted-foreground">
@@ -219,7 +220,7 @@
 			<BadgeChatStatistic
 				class="bg-transparent"
 				icon={Clock}
-				value="{agenticToolsTimeInSeconds}s"
+				value={formattedAgenticToolsTime}
 				tooltipLabel="Tool execution time"
 			/>
 			<BadgeChatStatistic
@@ -244,7 +245,7 @@
 			<BadgeChatStatistic
 				class="bg-transparent"
 				icon={Clock}
-				value="{agenticTotalTimeInSeconds}s"
+				value={formattedAgenticTotalTime}
 				tooltipLabel="Total time (LLM + tools)"
 			/>
 		{:else if hasPromptStats}

tools/server/webui/src/lib/utils/formatters.ts

@@ -82,3 +82,44 @@ export function formatTime(date: Date): string {
 		second: '2-digit'
 	});
 }
+
+/**
+ * Formats milliseconds to a human-readable time string for performance metrics.
+ * Examples: "4h 12min 54s", "12min 34s", "45s", "0.5s"
+ *
+ * @param ms - Time in milliseconds
+ * @returns Formatted time string
+ */
+export function formatPerformanceTime(ms: number): string {
+	if (ms < 0) return '0s';
+
+	const totalSeconds = ms / 1000;
+
+	if (totalSeconds < 1) {
+		return `${totalSeconds.toFixed(1)}s`;
+	}
+
+	if (totalSeconds < 10) {
+		return `${totalSeconds.toFixed(1)}s`;
+	}
+
+	const hours = Math.floor(totalSeconds / 3600);
+	const minutes = Math.floor((totalSeconds % 3600) / 60);
+	const seconds = Math.floor(totalSeconds % 60);
+
+	const parts: string[] = [];
+
+	if (hours > 0) {
+		parts.push(`${hours}h`);
+	}
+
+	if (minutes > 0) {
+		parts.push(`${minutes}min`);
+	}
+
+	if (seconds > 0 || parts.length === 0) {
+		parts.push(`${seconds}s`);
+	}
+
+	return parts.join(' ');
+}