diff --git a/apps/vectorcraft-cli/src/perf.rs b/apps/vectorcraft-cli/src/perf.rs
index 33815fbf3..b77222834 100644
--- a/apps/vectorcraft-cli/src/perf.rs
+++ b/apps/vectorcraft-cli/src/perf.rs
@@ -187,6 +187,47 @@ fn budget_row(name: &str, ms: f64, budget: f64, ok: bool) -> String {
     format!("  {name:<42} {ms:>8.2} ms {budget:>7.0} ms  {}", if ok { "ok" } else { "OVER" })
 }
 
+/// Tracked rows for pointing at things in an n-path document: what hovering, clicking, marquee
+/// selection and snapping cost when nothing narrows the search.
+fn pointing(n: usize, rows: &mut Vec<(String, f64)>) -> Result<(), String> {
+    use vectorcraft_engine::tools::{Mods, PointerEvent, PointerKind};
+    let err = |e: vectorcraft_engine::EngineError| e.to_string();
+    let mut s = vectorcraft_engine::Session::new();
+    s.add_document(synthetic(n)?, None);
+    let view = vectorcraft_engine::ViewInfo { zoom: 1.0, ..Default::default() };
+    s.select_tool("selection", view).map_err(err)?;
+    // Off the art (nothing under the pointer), the case every hover over empty canvas pays.
+    let off = Point::new(-200.0, -200.0);
+    let hover = |s: &mut vectorcraft_engine::Session| {
+        let _ = s.pointer(&PointerEvent::new(PointerKind::Move, off.x, off.y), view);
+        let _ = s.cursor(off, Mods::default(), view);
+    };
+    rows.push((format!("hover over empty canvas ({n} paths)"), median_ms(5, || hover(&mut s))));
+    s.execute("select.all", &json!({})).map_err(err)?;
+    rows.push((format!("hover over empty canvas, all selected ({n} paths)"), median_ms(5, || hover(&mut s))));
+    let doc = s.doc().map_err(err)?.doc.clone();
+    rows.push((format!("hit test, a miss ({n} paths)"), median_ms(5, || drop(hit::hit_test(&doc, off, hit::HitOptions::default())))));
+    let r = Rect::new(600.0, 450.0, 1000.0, 750.0);
+    rows.push((format!("marquee 400×300 ({n} paths)"), median_ms(5, || drop(hit::marquee(&doc, r, None, false)))));
+    let view_rect = Rect::new(0.0, 0.0, 1600.0, 1200.0);
+    rows.push((
+        format!("smart guide targets in view ({n} paths)"),
+        median_ms(5, || drop(vectorcraft_engine::tools::guides::Targets::collect(&doc, &[], Some(view_rect)))),
+    ));
+    // Shift-clicking one more object into a selection of half the document.
+    let ids: Vec<u64> = doc.layers[0].children().map(|c| c.iter().map(|n| n.id.0).collect()).unwrap_or_default();
+    s.execute("select.set", &json!({"ids": ids[..ids.len() / 2]})).map_err(err)?;
+    let mut k = ids.len() / 2;
+    rows.push((
+        format!("shift-click into a {}-object selection", ids.len() / 2),
+        median_ms(5, || {
+            k += 1;
+            let _ = s.execute("select.toggle", &json!({"id": ids[k % ids.len()]}));
+        }),
+    ));
+    Ok(())
+}
+
 /// `--deep`: tracked rows (no budget yet) for work the budgets above don't reach: editing a whole
 /// selection, live effects, every Pathfinder operation, typing in a long story, and memory, with
 /// the peak so far where `rss_mb` reads one.
@@ -282,6 +323,8 @@ fn deep(n: usize) -> Result<(), String> {
         }),
     ));
     note("after typing");
+    pointing(n, &mut rows)?;
+    note("after pointing");
     // Four embedded 24 MP photos drawn at fit page by three renderers, as the app's canvas, render
     // worker and a panel each draw them.
     {
diff --git a/crates/geom/src/path.rs b/crates/geom/src/path.rs
index b1847d9ce..b0b9f3cbe 100644
--- a/crates/geom/src/path.rs
+++ b/crates/geom/src/path.rs
@@ -547,17 +547,30 @@ impl PathData {
     /// Tight geometric bounds (curve extrema, not control points), measured by [`curve_bounds`]: a
     /// segment with a control point that is not finite or past `f64::MAX / 16` in x or y is measured
     /// by its control points.
+    ///
+    /// Walks the segments in place, without building the path: the same segments in the same order,
+    /// so the result is bit for bit `curve_bounds(&self.to_bezpath())` (a path of lone anchors, with
+    /// no segment, is `Rect::ZERO`, as there).
     pub fn bounds(&self) -> Option<Rect> {
         if self.is_empty() {
             return None;
         }
-        let bp = self.to_bezpath();
         if self.anchor_count() == 1
             && let Some(a) = self.subpaths.iter().find_map(|s| s.anchors.first())
         {
             return Some(Rect::from_points(a.p, a.p));
         }
-        Some(curve_bounds(&bp))
+        let mut bbox: Option<Rect> = None;
+        for sp in &self.subpaths {
+            // (a closed subpath's last segment ends on its first anchor: its `ClosePath` adds no line)
+            for i in 0..sp.segment_count() {
+                let c = sp.segment(i);
+                // `to_bezpath_into` writes a line where neither handle is out, else a cubic.
+                let seg = segment_bounds(if sp.segment_is_line(i) { PathSeg::Line(kurbo::Line::new(c.p0, c.p3)) } else { PathSeg::Cubic(c) });
+                bbox = Some(bbox.map_or(seg, |bb| bb.union(seg)));
+            }
+        }
+        Some(bbox.unwrap_or_default())
     }
     /// Bounds including control handles (used for quick culling).
     pub fn control_bounds(&self) -> Option<Rect> {
@@ -720,6 +733,39 @@ fn push_curve(cur: &mut Option<SubPath>, last: Point, c1: Point, c2: Point, p: P
 mod tests {
     use super::*;
 
+    /// `bounds` walks the anchors in place: bit for bit what the kurbo path it stands for gives,
+    /// for lines, curves, open and closed subpaths, lone anchors and empty subpaths.
+    #[test]
+    fn bounds_match_the_bezpath_bit_for_bit() {
+        use proptest::prelude::*;
+        fn reference(pd: &PathData) -> Option<Rect> {
+            if pd.is_empty() {
+                return None;
+            }
+            if pd.anchor_count() == 1 {
+                let a = pd.subpaths.iter().find_map(|s| s.anchors.first())?;
+                return Some(Rect::from_points(a.p, a.p));
+            }
+            Some(curve_bounds(&pd.to_bezpath()))
+        }
+        let bits = |r: Option<Rect>| r.map(|r| [r.x0, r.y0, r.x1, r.y1].map(f64::to_bits));
+        let coord = || prop_oneof![(-1e3f64..1e3), Just(0.0), Just(1e-300), Just(-7.25)];
+        let pt = move || (coord(), coord()).prop_map(|(x, y)| Point::new(x, y));
+        // Handles retracted (equal to the anchor) a third of the time: lines and curves mix.
+        let handle = move || prop_oneof![Just(None), pt().prop_map(Some)];
+        let anchor =
+            (pt(), handle(), handle()).prop_map(|(p, i, o)| Anchor { p, h_in: i.unwrap_or(p), h_out: o.unwrap_or(p), kind: AnchorKind::Corner });
+        let sub = (proptest::collection::vec(anchor, 0..6), any::<bool>()).prop_map(|(a, c)| SubPath::new(a, c));
+        let path = proptest::collection::vec(sub, 0..4).prop_map(PathData::new);
+        proptest!(ProptestConfig::with_cases(2000), |(pd in path)| {
+            prop_assert_eq!(bits(pd.bounds()), bits(reference(&pd)));
+        });
+        // Two lone anchors: no segment, as the path has none.
+        let lone = PathData::new(vec![SubPath::polyline(&[Point::new(5.0, 5.0)], false), SubPath::polyline(&[Point::new(9.0, 1.0)], true)]);
+        assert_eq!(lone.bounds(), Some(Rect::ZERO));
+        assert_eq!(bits(lone.bounds()), bits(reference(&lone)));
+    }
+
     fn square() -> PathData {
         PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0), Point::new(10.0, 10.0), Point::new(0.0, 10.0)], true))
     }