diff --git a/docs/usage.md b/docs/usage.md
index 69dc6ba..522d92f 100644
--- a/docs/usage.md
+++ b/docs/usage.md
@@ -78,6 +78,11 @@ the available metadata supports that interpretation. See [limitations](limitatio
 
 ### Recursion tree
 
+Each node shows the call with its argument values, such as
+`towerOfHanoi(2, "B", "C", "A")`. Methods drop their class name and the hidden
+`this` pointer, so a LeetCode `Solution::` method reads like a plain function.
+Nodes widen to fit the arguments (up to 32 characters); hover a node for its full label.
+
 Calls branch in invocation order and retain recorded return values. L/R labels
 mean first/second child calls, not necessarily `left`/`right` fields. The active
 path and step note help you follow the running call.
diff --git a/web/src/CallTree.tsx b/web/src/CallTree.tsx
index 6e573ff..cd33add 100644
--- a/web/src/CallTree.tsx
+++ b/web/src/CallTree.tsx
@@ -10,8 +10,9 @@ import {useZoom, ZoomControl} from './zoom';
 type Dims = {width: number; height: number; gap: number; level: number};
 // Full nodes carry a status line; compact ones are a single, larger line for wide trees.
 const FULL: Dims = {width: 168, height: 44, gap: 22, level: 96};
-// Full labels: 16px bold monospace is about 9.7px per character.
-const FULL_CHARS = 15;
+// Full labels: 16px bold monospace is about 9.7px per character. Nodes grow with their longest
+// label, from 15 characters up to FULL_CHARS, so the arguments are not cut off.
+const FULL_CHARS = 32, FULL_CHAR_WIDTH = 9.7;
 const COMPACT: Dims = {width: 116, height: 38, gap: 12, level: 70};
 const MAX_NODES = 250;
 // Below this, labels stop being readable: the tree scrolls instead, following the running call.
@@ -20,7 +21,7 @@ const MIN_FIT = 0.8;
 // Switch to compact nodes when full ones would have to shrink this far to fit.
 const COMPACT_BELOW = 0.8;
 // Compact labels: 15px monospace is about 8.3px per character.
-const COMPACT_CHARS = 24, CHAR_WIDTH = 8.4;
+const COMPACT_CHARS = 32, CHAR_WIDTH = 8.4;
 // Steps closer together than this are a burst, not a step to watch.
 const RAPID_STEP_MS = 250;
 // Width added to compact nodes so ×N never overprints the label.
@@ -120,14 +121,16 @@ export function CallTree({trace, index, onSelect, selectedCall, baseline = null}
   visible.forEach(node => frequencies.set(node.label, (frequencies.get(node.label) ?? 0) + 1));
   // Room for a hand-lettered ×N inside the node when any call repeats, so it never meets an edge label.
   const anyRepeat = visible.some(node => (frequencies.get(node.label) ?? 0) > 1 && node.frame.locals.some(local => local.is_argument));
-  const fullDims = {...FULL, width: FULL.width + (anyRepeat ? REPEAT_ROOM : 0)};
+  const fullChars = Math.min(FULL_CHARS, Math.max(15, ...visible.map(node => node.label.length)));
+  // The width left for text: padding, the tick of a returned call and room for ×N.
+  const fullDims = {...FULL, width: Math.max(FULL.width, Math.round(fullChars * FULL_CHAR_WIDTH + 44)) + (anyRepeat ? REPEAT_ROOM : 0)};
   const full = layout(history, order, fullDims);
   const fullFit = box.width ? Math.min(1, (box.width - 34) / full.width, (box.height - 34) / full.height) : 1;
   const compact = (mode === 'fit' ? fullFit : zoom) < COMPACT_BELOW;
   // Compact nodes are as wide as their longest label (up to a cap), so "insert(null, 5) → a3"
   // is never cut to "insert(null, …": the arguments are the point of the label.
   const longest = Math.min(COMPACT_CHARS, Math.max(8, ...visible.map(node => compactLabel(node).length)));
-  const compactDims = {...COMPACT, width: Math.round(longest * CHAR_WIDTH + 24 + (anyRepeat ? REPEAT_ROOM : 0))};
+  const compactDims = {...COMPACT, width: Math.round(longest * CHAR_WIDTH + 32 + (anyRepeat ? REPEAT_ROOM : 0))};
   const dims = compact ? compactDims : fullDims;
   const {positions, labels, width, height} = compact ? layout(history, order, compactDims) : full;
   const seek = (node: CallNode) => onSelect(node.frame, node.last);
@@ -222,7 +225,7 @@ export function CallTree({trace, index, onSelect, selectedCall, baseline = null}
               <text x={compact ? (dims.width - (anyRepeat ? REPEAT_ROOM : 0)) / 2
                 : ((anyRepeat ? REPEAT_ROOM : 0) + dims.width - (node.state === 'completed' ? 18 : 0)) / 2} y={dims.height / 2 + 5.5} textAnchor="middle"
                 className={`node-label ${compact ? 'compact' : ''}`}>
-                {compact ? truncate(compactLabel(node), COMPACT_CHARS) : truncate(node.label, FULL_CHARS)}</text>
+                {compact ? truncate(compactLabel(node), COMPACT_CHARS) : truncate(node.label, fullChars)}</text>
               {/* A returned call is ticked off inside its box, so "done" never rests on colour alone. */}
               {/* Compact labels already say "→ value", so only full nodes carry the tick. */}
               {!compact && node.state === 'completed' && <path className="node-tick" d={`M${dims.width - 22},${dims.height / 2} l4 4.5 l8.5 -9.5`} />}
diff --git a/web/src/callHistory.ts b/web/src/callHistory.ts
index 7ca6a59..6e715c5 100644
--- a/web/src/callHistory.ts
+++ b/web/src/callHistory.ts
@@ -27,6 +27,12 @@ function returned(value: string | null, stop: Snapshot) {
   return shortValue(value).text;
 }
 
+/** A method named without its class, `towerOfHanoi` rather than `Solution::towerOfHanoi`:
+ *  the tree has room for the name or the values, and the values are the point. */
+export function shortName(name: string) {
+  return name.replace(/^(?:[A-Za-z_]\w*::)+(?=[A-Za-z_~])/, '');
+}
+
 /** Replay only the prefix: backward seeking must not reveal future calls. */
 export function callHistory(trace: Trace, index: number) {
   const nodes = new Map<string, CallNode>();
@@ -53,9 +59,10 @@ export function callHistory(trace: Trace, index: number) {
       // Display observed parameter values, not guessed locals or inferred returns.
       // A call's first stop is its entry address, before the prologue stores arguments.
       const entering = i === node.first && i > 0;
-      const args = frame.locals.filter(local => local.is_argument).map(local =>
+      // `this` is an address the reader never passed, so the label leaves it out.
+      const args = frame.locals.filter(local => local.is_argument && local.name !== 'this').map(local =>
         !entering && local.status === 'readable' ? argument(local, stop) : '?');
-      node.label = `${frame.function}(${args.join(', ')})`;
+      node.label = `${shortName(frame.function)}(${args.join(', ')})`;
       path.push(node);
     }
     for (const {call_id, value} of stop.returns ?? []) {
diff --git a/web/src/main.tsx b/web/src/main.tsx
index 3f589be..56effff 100644
--- a/web/src/main.tsx
+++ b/web/src/main.tsx
@@ -14,7 +14,7 @@ import {Icon, SproutMark} from './Icon';
 import {StackTree} from './StackTree';
 import {CallTree} from './CallTree';
 import {repeatedWork, type WorkSummary} from './RepeatReport';
-import {callHistory} from './callHistory';
+import {callHistory, shortName} from './callHistory';
 import {GraphView} from './GraphView';
 import {graphsAt, traceHasGraph} from './graph';
 import {MemoryGraph} from './MemoryGraph';
@@ -384,11 +384,11 @@ function App() {
 
         {/* Announces where you are when stepping; silent during playback, which would chatter. */}
         <div className="execution-context" aria-live={playing ? 'off' : 'polite'}>
-          <span className={`context-dot ${playing ? 'is-playing' : ''}`} /><strong>{step.frames[0]?.function ?? (step.event === 'exit' ? 'Finished' : 'Stopped')}</strong>
+          <span className={`context-dot ${playing ? 'is-playing' : ''}`} /><strong title={step.frames[0]?.function}>{step.frames[0] ? shortName(step.frames[0].function) : step.event === 'exit' ? 'Finished' : 'Stopped'}</strong>
           <span>{step.location ? `Line ${step.location.line}` : step.event.replace('_', ' ')}</span><span className="context-stat">{step.frames.length} active {step.frames.length === 1 ? 'call' : 'calls'}</span>
           {changes.heap.includes(index) && <span className="change-tag">Memory changed</span>}{changes.output.includes(index) && <span className="change-tag">New output</span>}
           {inspected && <button className="inspection-chip" onClick={() => setSelectedCall(null)} title="Clear call selection">
-            Inspecting {inspected.function} · line {inspected.location.line}<Icon name="close" size={14} /></button>}
+            Inspecting {shortName(inspected.function)} · line {inspected.location.line}<Icon name="close" size={14} /></button>}
           <span className="shortcut-hint">Space play · ← → step · n over · f out</span></div>
       </div>
       <div className="topbar-actions">