diff --git a/wasm/app/runner.js b/wasm/app/runner.js
index bad777c..aa602af 100644
--- a/wasm/app/runner.js
+++ b/wasm/app/runner.js
@@ -33,3 +33,9 @@ export async function evalOnTier(name, src, onLoad) {
     const tier = await getTier(name, onLoad);
     return tier.evalLisp(src);
 }
+
+export function heapStats(name) {
+    const tier = cache[name];
+    if (!tier || !tier.heapStats) return null;
+    return tier.heapStats();
+}
diff --git a/wasm/app/worker.mjs b/wasm/app/worker.mjs
index 9fbc7a5..760c680 100644
--- a/wasm/app/worker.mjs
+++ b/wasm/app/worker.mjs
@@ -3,7 +3,7 @@
 // live ms counter actually ticks AND so cancel works (main thread
 // terminates this worker via worker.terminate()).
 
-import { evalOnTier, setBendUrl } from "./runner.js";
+import { evalOnTier, setBendUrl, heapStats } from "./runner.js";
 
 self.onmessage = async (e) => {
     const { kind } = e.data;
@@ -11,6 +11,12 @@ self.onmessage = async (e) => {
         setBendUrl(e.data.bendUrl);
         return;
     }
+    if (kind === "heap") {
+        // Synchronous read — no eval is running because the worker is
+        // single-threaded and main thread only sends this between evals.
+        self.postMessage({ kind: "heap", runId: e.data.runId, tier: e.data.tier, stats: heapStats(e.data.tier) });
+        return;
+    }
     if (kind !== "eval") return;
     const { runId, tier, src } = e.data;
     try {
diff --git a/wasm/asm/lumbda-asm.loader.js b/wasm/asm/lumbda-asm.loader.js
index 8da41de..e724244 100644
--- a/wasm/asm/lumbda-asm.loader.js
+++ b/wasm/asm/lumbda-asm.loader.js
@@ -72,6 +72,12 @@ async function _bootstrap() {
             return dec.decode(new Uint8Array(exp.memory.buffer, outPtr, outLen));
         },
         setBendUrl(url) { refs.bendUrl = url || null; },
+        heapStats() {
+            return {
+                used: exp.lumbda_heap_used(),
+                total: exp.lumbda_heap_total(),
+            };
+        },
     };
 }
 
diff --git a/wasm/asm/lumbda.wat b/wasm/asm/lumbda.wat
index bced19b..1609a43 100644
--- a/wasm/asm/lumbda.wat
+++ b/wasm/asm/lumbda.wat
@@ -3870,4 +3870,13 @@
     (global.get $output_len))
   (func $lumbda_source_ptr (export "lumbda_source_ptr") (result i32)
     (i32.const 0x20000))
+
+  ;; Heap diagnostics — JS-side memory pressure indicators. heap_used is
+  ;; bytes consumed by the bump allocator since boot; heap_total is the
+  ;; current memory.size in bytes. No GC yet so heap_used only grows;
+  ;; the REPL "reboot tier" button is the user-facing reclaim path.
+  (func $lumbda_heap_used (export "lumbda_heap_used") (result i32)
+    (i32.sub (global.get $heap_ptr) (i32.const 0x30000)))
+  (func $lumbda_heap_total (export "lumbda_heap_total") (result i32)
+    (i32.mul (memory.size) (i32.const 65536)))
 )
diff --git a/wasm/c/lumbda-c.loader.js b/wasm/c/lumbda-c.loader.js
index 5331311..0a2f5e3 100644
--- a/wasm/c/lumbda-c.loader.js
+++ b/wasm/c/lumbda-c.loader.js
@@ -43,6 +43,14 @@ async function _bootstrap() {
             if (errMsg) out += errMsg + "\n";
             return out;
         },
+        heapStats() {
+            // Emscripten exposes the linear memory directly. There's no
+            // free path right now (LUMBDA_NO_BOEHM), so used = total —
+            // every malloc accumulates until reload. Documented and
+            // surfaced in the REPL so the user sees the pressure.
+            const total = module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/wasm/dist-repl/asm/lumbda-asm.loader.js b/wasm/dist-repl/asm/lumbda-asm.loader.js
index 8da41de..e724244 100644
--- a/wasm/dist-repl/asm/lumbda-asm.loader.js
+++ b/wasm/dist-repl/asm/lumbda-asm.loader.js
@@ -72,6 +72,12 @@ async function _bootstrap() {
             return dec.decode(new Uint8Array(exp.memory.buffer, outPtr, outLen));
         },
         setBendUrl(url) { refs.bendUrl = url || null; },
+        heapStats() {
+            return {
+                used: exp.lumbda_heap_used(),
+                total: exp.lumbda_heap_total(),
+            };
+        },
     };
 }
 
diff --git a/wasm/dist-repl/asm/lumbda-asm.wasm b/wasm/dist-repl/asm/lumbda-asm.wasm
index 3a30eb5..55c8e9c 100644
Binary files a/wasm/dist-repl/asm/lumbda-asm.wasm and b/wasm/dist-repl/asm/lumbda-asm.wasm differ
diff --git a/wasm/dist-repl/c/lumbda-c.loader.js b/wasm/dist-repl/c/lumbda-c.loader.js
index 5331311..0a2f5e3 100644
--- a/wasm/dist-repl/c/lumbda-c.loader.js
+++ b/wasm/dist-repl/c/lumbda-c.loader.js
@@ -43,6 +43,14 @@ async function _bootstrap() {
             if (errMsg) out += errMsg + "\n";
             return out;
         },
+        heapStats() {
+            // Emscripten exposes the linear memory directly. There's no
+            // free path right now (LUMBDA_NO_BOEHM), so used = total —
+            // every malloc accumulates until reload. Documented and
+            // surfaced in the REPL so the user sees the pressure.
+            const total = module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/wasm/dist-repl/python/lumbda-py.js b/wasm/dist-repl/python/lumbda-py.js
index d31accd..c716882 100644
--- a/wasm/dist-repl/python/lumbda-py.js
+++ b/wasm/dist-repl/python/lumbda-py.js
@@ -56,6 +56,13 @@ def _lumbda_eval(src):
             pyodide.globals.set("_src_in", src);
             return await pyodide.runPythonAsync("_lumbda_eval(_src_in)");
         },
+        heapStats() {
+            // Pyodide's runtime memory is the Emscripten linear memory.
+            // CPython's GC reclaims behind the scenes, so this number
+            // rises and falls naturally as objects die.
+            const total = pyodide._module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/wasm/dist-repl/repl.css b/wasm/dist-repl/repl.css
index e476dac..7f79a60 100644
--- a/wasm/dist-repl/repl.css
+++ b/wasm/dist-repl/repl.css
@@ -1,12 +1,10 @@
 /* lumbda repl — grid-only layout. Inherits palette + base from style.css. */
 
 body.repl {
-  /* Body scrolls naturally. The prompt-bar is position: fixed so it
-   * stays glued to the viewport bottom; the transcript reserves bottom
-   * padding equal to the prompt-bar height so its last line isn't hidden
-   * underneath. */
-  min-height: 100vh;
-  overflow: auto;
+  /* Plain document flow — no min-height, no overflow. The page scrolls
+   * naturally when content exceeds the viewport; the prompt-bar uses
+   * position: sticky so it stays glued to the bottom of the viewport in
+   * that case, and sits right under the transcript otherwise. */
 }
 
 /* ─── Lock screen overlay ──────────────────────────────────────── */
@@ -115,14 +113,20 @@ body.repl {
 /* ─── Tab bar ──────────────────────────────────────────────────── */
 
 .tabbar {
+  /* Sticks to the top of the viewport so it stays visible after the
+   * header scrolls away — keeps the active-session controls reachable
+   * even after a long transcript pushes them off-screen. */
+  position: sticky;
+  top: 0;
+  z-index: 40;
   display: grid;
   grid-template-columns: auto auto 1fr auto auto auto auto;
   gap: 0.3rem;
   align-items: center;
-  padding: 0.2rem 0 0.4rem;
-  background: transparent;
-  border-bottom: 1px dashed var(--rule);
-  margin-bottom: 0.4rem;
+  padding: 0.4rem 0.4rem;
+  margin: 0 0 0.4rem;
+  background: var(--code-bg);
+  border-bottom: 1px solid var(--rule);
 }
 .tabs {
   display: grid;
@@ -169,6 +173,13 @@ body.repl {
   border-color: var(--green); color: var(--green);
 }
 .tabbar .ghost:disabled { opacity: 0.4; cursor: default; }
+.tabbar .heap-pressure {
+  color: var(--muted);
+  font-size: 0.72em;
+  font-family: var(--mono);
+  white-space: nowrap;
+  padding: 0 0.4rem;
+}
 
 /* ─── Transcript ───────────────────────────────────────────────── */
 
@@ -177,21 +188,20 @@ body.repl {
  * fresh sessions show the prompt up near the top and it drifts down
  * with each new entry. */
 .repl-stream {
-  padding: 0.5rem 1rem 0;
   background: var(--code-bg);
   display: grid;
   grid-template-rows: auto auto auto;
   align-content: start;
-  /* Leave room for the fixed prompt bar at the viewport bottom. */
-  padding-bottom: calc(3.6rem + env(safe-area-inset-bottom, 0));
 }
 .transcript {
+  /* Same horizontal inset as the active prompt-bar so prior λ> sigils
+   * line up with the live one. No max-width / margin: auto here — a
+   * centered transcript on wide viewports would mis-align with the
+   * left-flush prompt-bar. Long lines wrap inside the entry instead. */
+  padding: 0.4rem 0.4rem 0;
   font-family: var(--mono);
   font-size: 0.92em;
   line-height: 1.45;
-  max-width: 90rem;
-  margin: 0 auto;
-  width: 100%;
 }
 .transcript .entry {
   margin: 0;
@@ -234,16 +244,17 @@ body.repl {
 /* ─── Prompt bar ───────────────────────────────────────────────── */
 
 .prompt-bar {
-  position: fixed;
-  left: 0; right: 0; bottom: 0;
+  /* Flows directly under the last transcript entry — connected, no gap.
+   * Sticks to the viewport bottom once the page scrolls past it. */
+  position: sticky;
+  bottom: 0;
   z-index: 50;
   display: grid;
   grid-template-columns: auto 1fr auto auto;
   gap: 0.4rem;
   align-items: center;
-  padding: 0.5rem 1rem;
+  padding: 0.3rem 0.4rem 0.5rem;
   background: var(--code-bg);
-  border-top: 1px solid var(--rule);
 }
 .prompt-bar .prompt-sigil {
   color: var(--green);
diff --git a/wasm/dist-repl/repl.js b/wasm/dist-repl/repl.js
index 7b2f8d5..088dd26 100644
--- a/wasm/dist-repl/repl.js
+++ b/wasm/dist-repl/repl.js
@@ -287,8 +287,64 @@ function renderAll() {
         }
         transcriptEl.appendChild(block);
     }
-    // Body owns the scroll now; jump it to the latest entry.
-    window.scrollTo({ top: document.documentElement.scrollHeight, behavior: "instant" });
+    // Body owns the scroll now; jump to the bottom after layout settles.
+    // requestAnimationFrame lets the just-mounted DOM contribute to
+    // scrollHeight before we measure — otherwise on first load the page
+    // sticks at the top because the transcript hasn't been laid out yet.
+    requestAnimationFrame(() => {
+        window.scrollTo({ top: document.documentElement.scrollHeight, behavior: "instant" });
+    });
+}
+
+// ─── History navigation (readline-style up/down) ────────────────────
+// Each tab owns its own history; the active tab's draft is preserved so
+// that walking back into history doesn't eat what the user was typing.
+const history = { idx: null, draft: "" };
+
+function historyEntries() {
+    // Transcript's `input` fields, deduplicated against the immediate
+    // predecessor — pressing up shouldn't make you hit the same line
+    // twice in a row when you just submitted it.
+    const tab = activeTab();
+    if (!tab) return [];
+    const out = [];
+    for (const e of tab.transcript) {
+        if (out.length && out[out.length - 1] === e.input) continue;
+        out.push(e.input);
+    }
+    return out;
+}
+
+function historyPrev() {
+    const entries = historyEntries();
+    if (entries.length === 0) return;
+    if (history.idx === null) {
+        history.draft = inputEl.value;
+        history.idx = entries.length - 1;
+    } else if (history.idx > 0) {
+        history.idx--;
+    }
+    inputEl.value = entries[history.idx];
+    inputEl.setSelectionRange(inputEl.value.length, inputEl.value.length);
+}
+
+function historyNext() {
+    const entries = historyEntries();
+    if (history.idx === null) return;
+    if (history.idx >= entries.length - 1) {
+        history.idx = null;
+        inputEl.value = history.draft;
+        history.draft = "";
+    } else {
+        history.idx++;
+        inputEl.value = entries[history.idx];
+    }
+    inputEl.setSelectionRange(inputEl.value.length, inputEl.value.length);
+}
+
+function resetHistory() {
+    history.idx = null;
+    history.draft = "";
 }
 
 // ─── Input handling ─────────────────────────────────────────────────
@@ -302,6 +358,7 @@ async function sendInput() {
     const entry = { input: src, results: [], kind: "ok" };
     tab.transcript.push(entry);
     inputEl.value = "";
+    resetHistory();
     sendBtn.disabled = true;
     cancelBtn.disabled = false;
     renderAll();
@@ -332,6 +389,48 @@ async function sendInput() {
     }
 }
 
+// ─── Heap pressure indicator ───────────────────────────────────────
+// Polls each loaded tier in the active tab and prints a compact
+// "py 12M · c 32M · asm 4M" string next to the tabbar buttons.
+const heapEl = document.createElement("span");
+heapEl.className = "heap-pressure";
+heapEl.title = "tier worker memory — \"reboot tier\" reclaims on demand";
+
+function formatBytes(n) {
+    if (n < 1024) return `${n}B`;
+    if (n < 1024 * 1024) return `${(n / 1024).toFixed(0)}K`;
+    return `${(n / (1024 * 1024)).toFixed(1)}M`;
+}
+
+async function pollHeap() {
+    const tab = activeTab();
+    if (!tab) return;
+    const tiers = ["python", "c", "asm"];
+    const parts = [];
+    for (const t of tiers) {
+        const k = workerKey(tab.id, t);
+        const w = state.workers[k];
+        if (!w) continue;
+        const runId = ++state.nextRunId;
+        const stats = await new Promise((resolve) => {
+            const handler = (e) => {
+                if (e.data.kind !== "heap" || e.data.runId !== runId) return;
+                w.removeEventListener("message", handler);
+                resolve(e.data.stats);
+            };
+            w.addEventListener("message", handler);
+            w.postMessage({ kind: "heap", runId, tier: t });
+            // Timeout safety — eval-busy workers won't reply.
+            setTimeout(() => { w.removeEventListener("message", handler); resolve(null); }, 200);
+        });
+        if (stats && stats.used != null) {
+            parts.push(`${t.slice(0, 3)} ${formatBytes(stats.used)}`);
+        }
+    }
+    heapEl.textContent = parts.length ? parts.join(" · ") : "";
+}
+setInterval(pollHeap, 2000);
+
 // ─── Wire up ────────────────────────────────────────────────────────
 unlockBtn.addEventListener("click", tryUnlock);
 freshBtn.addEventListener("click", enterEphemeral);
@@ -350,11 +449,47 @@ clearLogBtn.addEventListener("click", () => {
 });
 cancelBtn.addEventListener("click", cancelAllPendingInActiveTab);
 lockBtn.addEventListener("click", relock);
+// Insert heap pressure indicator into the tabbar after the spacer.
+document.getElementById("tabbar").insertBefore(heapEl, resetTierBtn);
 
 inputEl.addEventListener("keydown", (e) => {
     if (e.key === "Enter" && !e.shiftKey) {
         e.preventDefault();
         sendInput();
+        return;
+    }
+    // Up/Down navigate per-tab history when the caret is in the only
+    // (or first/last) row — otherwise they belong to the textarea's
+    // natural multi-line navigation.
+    if (e.key === "ArrowUp") {
+        const before = inputEl.value.substring(0, inputEl.selectionStart);
+        if (!before.includes("\n")) {
+            e.preventDefault();
+            historyPrev();
+        }
+        return;
+    }
+    if (e.key === "ArrowDown") {
+        const after = inputEl.value.substring(inputEl.selectionStart);
+        if (!after.includes("\n")) {
+            e.preventDefault();
+            historyNext();
+        }
+        return;
+    }
+});
+inputEl.addEventListener("input", () => {
+    // Any keystroke that isn't an arrow drops history navigation —
+    // edits are now the user's own draft, not the historical entry.
+    if (history.idx !== null && document.activeElement === inputEl) {
+        // We can't reliably distinguish arrow-induced updates here, so
+        // we only invalidate when the buffer has actually diverged from
+        // the historical entry the cursor was on.
+        const entries = historyEntries();
+        if (entries[history.idx] !== inputEl.value) {
+            history.draft = inputEl.value;
+            history.idx = null;
+        }
     }
 });
 sendBtn.addEventListener("click", sendInput);
diff --git a/wasm/dist-repl/runner.js b/wasm/dist-repl/runner.js
index bad777c..aa602af 100644
--- a/wasm/dist-repl/runner.js
+++ b/wasm/dist-repl/runner.js
@@ -33,3 +33,9 @@ export async function evalOnTier(name, src, onLoad) {
     const tier = await getTier(name, onLoad);
     return tier.evalLisp(src);
 }
+
+export function heapStats(name) {
+    const tier = cache[name];
+    if (!tier || !tier.heapStats) return null;
+    return tier.heapStats();
+}
diff --git a/wasm/dist-repl/style.css b/wasm/dist-repl/style.css
index bd3af40..01e4413 100644
--- a/wasm/dist-repl/style.css
+++ b/wasm/dist-repl/style.css
@@ -81,6 +81,9 @@ header {
   width: 3.2rem;
   height: auto;
   display: block;
+  /* Flip vertically + horizontally (= 180°) to match the inverted-λ
+   * convention from the homepage's hand-drawn artwork. */
+  transform: scale(-1, -1);
 }
 
 header h1 {
@@ -130,7 +133,8 @@ header code {
   border-bottom: 1px solid var(--rule);
   display: grid;
   grid-template-columns: auto auto auto auto 1fr;
-  gap: 1rem;
+  grid-template-rows: auto auto;
+  gap: 0.3rem 1rem;
   align-items: center;
   background: var(--bg);
 }
@@ -191,9 +195,14 @@ header code {
 }
 
 .controls .status {
+  /* Tuck the live ms counter directly under the run + cancel buttons
+   * (columns 3-4 in the controls grid) so the eye finds the elapsed
+   * timer next to the action that started it. */
+  grid-column: 3 / span 2;
+  grid-row: 2;
+  justify-self: start;
   color: var(--muted);
   font-size: 0.8em;
-  justify-self: end;
 }
 .controls .status.busy { color: var(--busy); }
 .controls .status.warn { color: var(--busy); }
diff --git a/wasm/dist-repl/worker.mjs b/wasm/dist-repl/worker.mjs
index 9fbc7a5..760c680 100644
--- a/wasm/dist-repl/worker.mjs
+++ b/wasm/dist-repl/worker.mjs
@@ -3,7 +3,7 @@
 // live ms counter actually ticks AND so cancel works (main thread
 // terminates this worker via worker.terminate()).
 
-import { evalOnTier, setBendUrl } from "./runner.js";
+import { evalOnTier, setBendUrl, heapStats } from "./runner.js";
 
 self.onmessage = async (e) => {
     const { kind } = e.data;
@@ -11,6 +11,12 @@ self.onmessage = async (e) => {
         setBendUrl(e.data.bendUrl);
         return;
     }
+    if (kind === "heap") {
+        // Synchronous read — no eval is running because the worker is
+        // single-threaded and main thread only sends this between evals.
+        self.postMessage({ kind: "heap", runId: e.data.runId, tier: e.data.tier, stats: heapStats(e.data.tier) });
+        return;
+    }
     if (kind !== "eval") return;
     const { runId, tier, src } = e.data;
     try {
diff --git a/wasm/python/lumbda-py.js b/wasm/python/lumbda-py.js
index d31accd..c716882 100644
--- a/wasm/python/lumbda-py.js
+++ b/wasm/python/lumbda-py.js
@@ -56,6 +56,13 @@ def _lumbda_eval(src):
             pyodide.globals.set("_src_in", src);
             return await pyodide.runPythonAsync("_lumbda_eval(_src_in)");
         },
+        heapStats() {
+            // Pyodide's runtime memory is the Emscripten linear memory.
+            // CPython's GC reclaims behind the scenes, so this number
+            // rises and falls naturally as objects die.
+            const total = pyodide._module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/wasm/repl/repl.css b/wasm/repl/repl.css
index 56ce235..7f79a60 100644
--- a/wasm/repl/repl.css
+++ b/wasm/repl/repl.css
@@ -173,6 +173,13 @@ body.repl {
   border-color: var(--green); color: var(--green);
 }
 .tabbar .ghost:disabled { opacity: 0.4; cursor: default; }
+.tabbar .heap-pressure {
+  color: var(--muted);
+  font-size: 0.72em;
+  font-family: var(--mono);
+  white-space: nowrap;
+  padding: 0 0.4rem;
+}
 
 /* ─── Transcript ───────────────────────────────────────────────── */
 
diff --git a/wasm/repl/repl.js b/wasm/repl/repl.js
index 5dfcb18..088dd26 100644
--- a/wasm/repl/repl.js
+++ b/wasm/repl/repl.js
@@ -389,6 +389,48 @@ async function sendInput() {
     }
 }
 
+// ─── Heap pressure indicator ───────────────────────────────────────
+// Polls each loaded tier in the active tab and prints a compact
+// "py 12M · c 32M · asm 4M" string next to the tabbar buttons.
+const heapEl = document.createElement("span");
+heapEl.className = "heap-pressure";
+heapEl.title = "tier worker memory — \"reboot tier\" reclaims on demand";
+
+function formatBytes(n) {
+    if (n < 1024) return `${n}B`;
+    if (n < 1024 * 1024) return `${(n / 1024).toFixed(0)}K`;
+    return `${(n / (1024 * 1024)).toFixed(1)}M`;
+}
+
+async function pollHeap() {
+    const tab = activeTab();
+    if (!tab) return;
+    const tiers = ["python", "c", "asm"];
+    const parts = [];
+    for (const t of tiers) {
+        const k = workerKey(tab.id, t);
+        const w = state.workers[k];
+        if (!w) continue;
+        const runId = ++state.nextRunId;
+        const stats = await new Promise((resolve) => {
+            const handler = (e) => {
+                if (e.data.kind !== "heap" || e.data.runId !== runId) return;
+                w.removeEventListener("message", handler);
+                resolve(e.data.stats);
+            };
+            w.addEventListener("message", handler);
+            w.postMessage({ kind: "heap", runId, tier: t });
+            // Timeout safety — eval-busy workers won't reply.
+            setTimeout(() => { w.removeEventListener("message", handler); resolve(null); }, 200);
+        });
+        if (stats && stats.used != null) {
+            parts.push(`${t.slice(0, 3)} ${formatBytes(stats.used)}`);
+        }
+    }
+    heapEl.textContent = parts.length ? parts.join(" · ") : "";
+}
+setInterval(pollHeap, 2000);
+
 // ─── Wire up ────────────────────────────────────────────────────────
 unlockBtn.addEventListener("click", tryUnlock);
 freshBtn.addEventListener("click", enterEphemeral);
@@ -407,6 +449,8 @@ clearLogBtn.addEventListener("click", () => {
 });
 cancelBtn.addEventListener("click", cancelAllPendingInActiveTab);
 lockBtn.addEventListener("click", relock);
+// Insert heap pressure indicator into the tabbar after the spacer.
+document.getElementById("tabbar").insertBefore(heapEl, resetTierBtn);
 
 inputEl.addEventListener("keydown", (e) => {
     if (e.key === "Enter" && !e.shiftKey) {
diff --git a/www/playground/asm/lumbda-asm.loader.js b/www/playground/asm/lumbda-asm.loader.js
index 8da41de..e724244 100644
--- a/www/playground/asm/lumbda-asm.loader.js
+++ b/www/playground/asm/lumbda-asm.loader.js
@@ -72,6 +72,12 @@ async function _bootstrap() {
             return dec.decode(new Uint8Array(exp.memory.buffer, outPtr, outLen));
         },
         setBendUrl(url) { refs.bendUrl = url || null; },
+        heapStats() {
+            return {
+                used: exp.lumbda_heap_used(),
+                total: exp.lumbda_heap_total(),
+            };
+        },
     };
 }
 
diff --git a/www/playground/asm/lumbda-asm.wasm b/www/playground/asm/lumbda-asm.wasm
index d03d195..55c8e9c 100644
Binary files a/www/playground/asm/lumbda-asm.wasm and b/www/playground/asm/lumbda-asm.wasm differ
diff --git a/www/playground/c/lumbda-c.loader.js b/www/playground/c/lumbda-c.loader.js
index 5331311..0a2f5e3 100644
--- a/www/playground/c/lumbda-c.loader.js
+++ b/www/playground/c/lumbda-c.loader.js
@@ -43,6 +43,14 @@ async function _bootstrap() {
             if (errMsg) out += errMsg + "\n";
             return out;
         },
+        heapStats() {
+            // Emscripten exposes the linear memory directly. There's no
+            // free path right now (LUMBDA_NO_BOEHM), so used = total —
+            // every malloc accumulates until reload. Documented and
+            // surfaced in the REPL so the user sees the pressure.
+            const total = module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/www/playground/python/lumbda-py.js b/www/playground/python/lumbda-py.js
index d31accd..c716882 100644
--- a/www/playground/python/lumbda-py.js
+++ b/www/playground/python/lumbda-py.js
@@ -56,6 +56,13 @@ def _lumbda_eval(src):
             pyodide.globals.set("_src_in", src);
             return await pyodide.runPythonAsync("_lumbda_eval(_src_in)");
         },
+        heapStats() {
+            // Pyodide's runtime memory is the Emscripten linear memory.
+            // CPython's GC reclaims behind the scenes, so this number
+            // rises and falls naturally as objects die.
+            const total = pyodide._module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/www/playground/runner.js b/www/playground/runner.js
index bad777c..aa602af 100644
--- a/www/playground/runner.js
+++ b/www/playground/runner.js
@@ -33,3 +33,9 @@ export async function evalOnTier(name, src, onLoad) {
     const tier = await getTier(name, onLoad);
     return tier.evalLisp(src);
 }
+
+export function heapStats(name) {
+    const tier = cache[name];
+    if (!tier || !tier.heapStats) return null;
+    return tier.heapStats();
+}
diff --git a/www/playground/worker.mjs b/www/playground/worker.mjs
index 9fbc7a5..760c680 100644
--- a/www/playground/worker.mjs
+++ b/www/playground/worker.mjs
@@ -3,7 +3,7 @@
 // live ms counter actually ticks AND so cancel works (main thread
 // terminates this worker via worker.terminate()).
 
-import { evalOnTier, setBendUrl } from "./runner.js";
+import { evalOnTier, setBendUrl, heapStats } from "./runner.js";
 
 self.onmessage = async (e) => {
     const { kind } = e.data;
@@ -11,6 +11,12 @@ self.onmessage = async (e) => {
         setBendUrl(e.data.bendUrl);
         return;
     }
+    if (kind === "heap") {
+        // Synchronous read — no eval is running because the worker is
+        // single-threaded and main thread only sends this between evals.
+        self.postMessage({ kind: "heap", runId: e.data.runId, tier: e.data.tier, stats: heapStats(e.data.tier) });
+        return;
+    }
     if (kind !== "eval") return;
     const { runId, tier, src } = e.data;
     try {
diff --git a/www/repl/asm/lumbda-asm.loader.js b/www/repl/asm/lumbda-asm.loader.js
index 8da41de..e724244 100644
--- a/www/repl/asm/lumbda-asm.loader.js
+++ b/www/repl/asm/lumbda-asm.loader.js
@@ -72,6 +72,12 @@ async function _bootstrap() {
             return dec.decode(new Uint8Array(exp.memory.buffer, outPtr, outLen));
         },
         setBendUrl(url) { refs.bendUrl = url || null; },
+        heapStats() {
+            return {
+                used: exp.lumbda_heap_used(),
+                total: exp.lumbda_heap_total(),
+            };
+        },
     };
 }
 
diff --git a/www/repl/asm/lumbda-asm.wasm b/www/repl/asm/lumbda-asm.wasm
index d03d195..55c8e9c 100644
Binary files a/www/repl/asm/lumbda-asm.wasm and b/www/repl/asm/lumbda-asm.wasm differ
diff --git a/www/repl/c/lumbda-c.loader.js b/www/repl/c/lumbda-c.loader.js
index 5331311..0a2f5e3 100644
--- a/www/repl/c/lumbda-c.loader.js
+++ b/www/repl/c/lumbda-c.loader.js
@@ -43,6 +43,14 @@ async function _bootstrap() {
             if (errMsg) out += errMsg + "\n";
             return out;
         },
+        heapStats() {
+            // Emscripten exposes the linear memory directly. There's no
+            // free path right now (LUMBDA_NO_BOEHM), so used = total —
+            // every malloc accumulates until reload. Documented and
+            // surfaced in the REPL so the user sees the pressure.
+            const total = module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/www/repl/python/lumbda-py.js b/www/repl/python/lumbda-py.js
index d31accd..c716882 100644
--- a/www/repl/python/lumbda-py.js
+++ b/www/repl/python/lumbda-py.js
@@ -56,6 +56,13 @@ def _lumbda_eval(src):
             pyodide.globals.set("_src_in", src);
             return await pyodide.runPythonAsync("_lumbda_eval(_src_in)");
         },
+        heapStats() {
+            // Pyodide's runtime memory is the Emscripten linear memory.
+            // CPython's GC reclaims behind the scenes, so this number
+            // rises and falls naturally as objects die.
+            const total = pyodide._module.HEAPU8.byteLength;
+            return { used: total, total };
+        },
     };
 }
 
diff --git a/www/repl/repl.css b/www/repl/repl.css
index 56ce235..7f79a60 100644
--- a/www/repl/repl.css
+++ b/www/repl/repl.css
@@ -173,6 +173,13 @@ body.repl {
   border-color: var(--green); color: var(--green);
 }
 .tabbar .ghost:disabled { opacity: 0.4; cursor: default; }
+.tabbar .heap-pressure {
+  color: var(--muted);
+  font-size: 0.72em;
+  font-family: var(--mono);
+  white-space: nowrap;
+  padding: 0 0.4rem;
+}
 
 /* ─── Transcript ───────────────────────────────────────────────── */
 
diff --git a/www/repl/repl.js b/www/repl/repl.js
index 5dfcb18..088dd26 100644
--- a/www/repl/repl.js
+++ b/www/repl/repl.js
@@ -389,6 +389,48 @@ async function sendInput() {
     }
 }
 
+// ─── Heap pressure indicator ───────────────────────────────────────
+// Polls each loaded tier in the active tab and prints a compact
+// "py 12M · c 32M · asm 4M" string next to the tabbar buttons.
+const heapEl = document.createElement("span");
+heapEl.className = "heap-pressure";
+heapEl.title = "tier worker memory — \"reboot tier\" reclaims on demand";
+
+function formatBytes(n) {
+    if (n < 1024) return `${n}B`;
+    if (n < 1024 * 1024) return `${(n / 1024).toFixed(0)}K`;
+    return `${(n / (1024 * 1024)).toFixed(1)}M`;
+}
+
+async function pollHeap() {
+    const tab = activeTab();
+    if (!tab) return;
+    const tiers = ["python", "c", "asm"];
+    const parts = [];
+    for (const t of tiers) {
+        const k = workerKey(tab.id, t);
+        const w = state.workers[k];
+        if (!w) continue;
+        const runId = ++state.nextRunId;
+        const stats = await new Promise((resolve) => {
+            const handler = (e) => {
+                if (e.data.kind !== "heap" || e.data.runId !== runId) return;
+                w.removeEventListener("message", handler);
+                resolve(e.data.stats);
+            };
+            w.addEventListener("message", handler);
+            w.postMessage({ kind: "heap", runId, tier: t });
+            // Timeout safety — eval-busy workers won't reply.
+            setTimeout(() => { w.removeEventListener("message", handler); resolve(null); }, 200);
+        });
+        if (stats && stats.used != null) {
+            parts.push(`${t.slice(0, 3)} ${formatBytes(stats.used)}`);
+        }
+    }
+    heapEl.textContent = parts.length ? parts.join(" · ") : "";
+}
+setInterval(pollHeap, 2000);
+
 // ─── Wire up ────────────────────────────────────────────────────────
 unlockBtn.addEventListener("click", tryUnlock);
 freshBtn.addEventListener("click", enterEphemeral);
@@ -407,6 +449,8 @@ clearLogBtn.addEventListener("click", () => {
 });
 cancelBtn.addEventListener("click", cancelAllPendingInActiveTab);
 lockBtn.addEventListener("click", relock);
+// Insert heap pressure indicator into the tabbar after the spacer.
+document.getElementById("tabbar").insertBefore(heapEl, resetTierBtn);
 
 inputEl.addEventListener("keydown", (e) => {
     if (e.key === "Enter" && !e.shiftKey) {
diff --git a/www/repl/runner.js b/www/repl/runner.js
index bad777c..aa602af 100644
--- a/www/repl/runner.js
+++ b/www/repl/runner.js
@@ -33,3 +33,9 @@ export async function evalOnTier(name, src, onLoad) {
     const tier = await getTier(name, onLoad);
     return tier.evalLisp(src);
 }
+
+export function heapStats(name) {
+    const tier = cache[name];
+    if (!tier || !tier.heapStats) return null;
+    return tier.heapStats();
+}
diff --git a/www/repl/worker.mjs b/www/repl/worker.mjs
index 9fbc7a5..760c680 100644
--- a/www/repl/worker.mjs
+++ b/www/repl/worker.mjs
@@ -3,7 +3,7 @@
 // live ms counter actually ticks AND so cancel works (main thread
 // terminates this worker via worker.terminate()).
 
-import { evalOnTier, setBendUrl } from "./runner.js";
+import { evalOnTier, setBendUrl, heapStats } from "./runner.js";
 
 self.onmessage = async (e) => {
     const { kind } = e.data;
@@ -11,6 +11,12 @@ self.onmessage = async (e) => {
         setBendUrl(e.data.bendUrl);
         return;
     }
+    if (kind === "heap") {
+        // Synchronous read — no eval is running because the worker is
+        // single-threaded and main thread only sends this between evals.
+        self.postMessage({ kind: "heap", runId: e.data.runId, tier: e.data.tier, stats: heapStats(e.data.tier) });
+        return;
+    }
     if (kind !== "eval") return;
     const { runId, tier, src } = e.data;
     try {