3 Commits

Author SHA1 Message Date
ywkang a4a2683aad paper(gqa): single-rank decode-streaming study — composite's masked bandwidth win
Adds the memory-bound mirror of the compute-bound prefill figure. New single-rank decode sweep (T_q=1, M=8) reuses the prefill_compute_bound kernels, sweeping per-rank S_kv with NO cross-CUBE reduce — isolating the local attention that the 64-way Case-6 decode masks under its reduce tail.

Finding: even memory-bound decode benefits from the composite command. Its scheduler-streamed concurrent per-tile DMAs reach ~233 GB/s (91% of the 256 GB/s per-rank roofline) while the primitive's blocking tl.dot serializes one tile DMA and plateaus at ~166 GB/s — a 25-28% latency win that widens with context. This refines the paper's 'decode is latency-neutral' claim: neutral at 64-way production scale (reduce-dominated), but the composite extracts bandwidth at the local level. The bandwidth roofline here mirrors the MAC roofline in prefill.

Adds: gqa_decode_streaming.py sweep (wired into the milestone umbrella as GQA_1H_SWEEPS=decode_streaming), paper_plot_gqa_decode_streaming.py, the figure, and a new fig:gqa-decode-stream + paragraph in 05-gqa.tex; rebuilt main.pdf. Prefill (Experiment B) re-verified byte-identical (794.1/668.1/646.9us).

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-23 19:39:45 -07:00
ywkang faf011dae5 paper(ipcq): regen alternatives figures + comparison plot + allreduce section
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-23 19:19:55 -07:00
ywkang 1dade267ff experiment(gqa-decode): 16x16x16 MAC-block dispatch model
Research artifact (NOT wired into the production sweep) for the decode composite-vs-primitive investigation. Models a primitive decode kernel that hand-blocks each tl.dot into 16x16x16 GemmCmds, charging per-MAC-block PE_CPU dispatch -- testing whether faithfully charging the dispatch that the composite form offloads to PE_SCHEDULER flips the 'composite gives no decode latency benefit' result.

Finding: it does NOT. Even with up to 512 serialized blocking GemmCmds per matmul (vs 2 coarse tl.dot), end-to-end decode latency is unchanged (8192: 28.9us, 32768: 114.9us) -- the inter-cube (m,l,O) reduce DMA tail dominates and the local-attention GEMM/dispatch sits in critical-path slack. Confirms the two-regime conclusion (24c7054): composite helps compute-bound prefill, not memory/reduce-bound decode.

Caveats: measured at S_kv 8K/32K (reduce-dominated); large-S_kv streaming regime extrapolated only. The -5.5% tiled<untiled is reduce-tail ordering noise, not fully nailed down.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-23 18:24:26 -07:00
22 changed files with 902 additions and 40 deletions
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@@ -145,9 +145,9 @@ with credit return, splitting the control plane into PE\_IPCQ and the
data plane into PE\_DMA, with head updates riding the payload and tail
updates riding a 16\,B side-channel credit (\S\ref{sec:allreduce}).
\begin{figure}[t]
\begin{figure*}[t]
\centering
\includegraphics[width=\linewidth]{ipcq_alternatives_architecture_stacked.png}
\includegraphics[width=0.78\linewidth]{ipcq_alternatives_architecture_flow.png}
\caption{Per-send data and control flow for the four PE-to-PE
signalling mechanisms (sender\,$\rightarrow$\,NoC\,$\rightarrow$\,receiver).
Doorbell and RDMA-CQ each issue two fabric transactions (payload then
@@ -158,7 +158,7 @@ the payload flit train and returns the tail credit on a side channel,
so a send is one MMIO write and a receive is a flip-flop read. This is
a \emph{design schematic}, not a measured comparison.}
\label{fig:ipcq-arch}
\end{figure}
\end{figure*}
\begin{figure}[t]
\centering
@@ -284,7 +284,9 @@ is unchanged across all three forms: decode is bound by streaming the KV
cache out of HBM, so the command form does not move the critical path.
That juxtaposition is the point. The composite command is not a latency
optimization for this memory-bound decode; it is a \emph{CPU-issue}
optimization for this memory-bound decode \emph{at the 64-way production scale} (a
single-rank caveat follows, Figure~\ref{fig:gqa-decode-stream}); it is a
\emph{CPU-issue}
optimization. Its value is removing the per-tile dispatch work that would
otherwise grow without bound as context grows, freeing PE\_CPU to run
ahead and keep the engines fed---which is exactly what lets the
@@ -295,8 +297,49 @@ memory-bound path its marginal cost over the plain GEMM composite is small
(98 vs.\ 94 commands), and like the plain composite it keeps the issued
count flat as context scales.
\paragraph{The compute-bound mirror: prefill.} Decode's verdict---command
form is latency-neutral---is a property of its regime, not of the
\paragraph{Isolating the rank: the masked streaming win.} That neutrality
is a property of the \emph{full 64-way} critical path, not of the local
attention: at production scale the inter-CUBE $(m,\ell,O)$ reduce tail and
shared-HBM contention set the wall clock, so a faster local attention does
not surface. Stripping those away---a single rank, no cross-CUBE reduce,
swept over the per-rank context $S_{kv}$ (so $S_{kv}{=}16$\,K here is the
per-PE load of a 1M-token, 64-way-sharded decode)---exposes the local
attention directly (Figure~\ref{fig:gqa-decode-stream}), and the composite
\emph{does} win, by \SI{25}{}--\SI{28}{\percent}. The reason is the
memory-bound mirror of prefill: its scheduler-streamed concurrent per-tile
DMAs keep the HBM pipeline full and reach \SI{233}{\giga\byte\per\second}
---\SI{91}{\percent} of the per-rank \SI{256}{\giga\byte\per\second}
roofline---whereas the primitive kernel's blocking \textsf{tl.dot}
serializes one tile DMA at a time and plateaus at
\SI{166}{\giga\byte\per\second}. So even for memory-bound decode the
composite is not \emph{only} a CPU-issue optimization---it also extracts
bandwidth---but that latency benefit materializes only when the local
attention is on the critical path, which at 64-way production scale it is
not.
\begin{figure}[t]
\centering
\includegraphics[width=\linewidth]{gqa_decode_streaming.png}
\caption{Single-rank memory-bound decode ($T_q{=}1$, $M{=}8$), three
command forms, swept over per-rank context. \emph{Left:} end-to-end
latency---the composite forms run \SI{25}{}--\SI{28}{\percent} below the
primitive, a gap that widens with context. \emph{Right:} achieved HBM
bandwidth against the per-rank \SI{256}{\giga\byte\per\second} roofline.
The primitive's blocking load$\rightarrow$dot serializes the KV stream and
plateaus at \SI{166}{\giga\byte\per\second}; the composite forms pipeline
concurrent per-tile DMAs through the scheduler and reach
\SI{233}{\giga\byte\per\second}. This is the memory-bound mirror of the
prefill result (Figure~\ref{fig:gqa-prefill-cb}): there the composite
approaches the MAC roofline, here the bandwidth roofline. Capped at
$16$\,K---the plain composite materializes the full $(M,S_{kv})$ scores in
TCM, so beyond that only the \textsf{softmax\_merge} recipe, which tiles
the softmax, stays within scratch.}
\label{fig:gqa-decode-stream}
\end{figure}
\paragraph{The compute-bound mirror: prefill.} Decode's \emph{production}
verdict---command form is latency-neutral at 64-way scale---is a property
of its regime, not of the
composite command. A decode step has $T_q{=}1$, so its score and context
products are skinny ($M{=}G\,T_q{=}8$): the MAC array is barely fed and
the kernel is bound by streaming the KV cache. Prefill is the opposite
+204
View File
@@ -0,0 +1,204 @@
#!/usr/bin/env python3
"""SCRATCH EXPERIMENT (not production; do not commit).
Question: does charging the *primitive* decode kernel for per-HW-tile
(16x16x16) CPU dispatch flip the "composite gives no decode-latency
benefit" conclusion?
We monkeypatch TLContext.dot so that, in the primitive kernel, every
tl.dot whose (M,K,N) exceeds the HW GEMM tile (mac_m/mac_k/mac_n) is
split by the CPU into ceil(M/mac_m)*ceil(K/mac_k)*ceil(N/mac_n)
HW-tile-sized GemmCmds. Each tile GemmCmd is emitted through the normal
_emit() path, so it (a) charges PE_CPU dispatch overhead via
_charge_dispatch (PeCpuOverheadCmd), and (b) blocks like a normal
single-op GemmCmd on PE_GEMM at the cycle-accurate ceil-product latency.
We also inject mac_m/mac_k/mac_n into every pe_gemm topology node so BOTH
the primitive-tiled and the composite variants run on the *same*
cycle-accurate engine (fair comparison). Composite is left untouched:
the CPU emits ONE CompositeCmd, and PE_SCHEDULER tiles internally (no
per-HW-tile CPU dispatch).
Data correctness:
Inputs are ctx.zeros (q/k/v), so every matmul result is zeros and the
DataExecutor replay is trivial. To keep replay numerically correct
regardless, exactly ONE emitted tile per dot carries the *real* full
operands+output handles (so the DataExecutor computes the true (M,N)
result via the recorded handle shapes), while its timing fields
(m,k,n) are the HW-tile size so the engine charges exactly one tile of
cycle time. The remaining n_tiles-1 emitted tiles are timing-only
GemmCmds (16x16x16) writing to throwaway scratch. Net: n_tiles tiles
of engine time + n_tiles dispatch charges, and a correct final output.
Engine mode: enable_data=True (same as the production sweep's
_engine_latency_ns), op_log end-to-end latency.
"""
from __future__ import annotations
import json
from math import ceil
from pathlib import Path
# --- HW GEMM tile under test -------------------------------------------------
MAC_M = 16
MAC_K = 16
MAC_N = 16
# Legacy alt to also try: (8, 16, 32)
S_KV_LATENCY = (8192, 32_768, 65_536, 131_072)
ROOT = Path(__file__).resolve().parent
SWEEP_JSON = (
ROOT / "src" / "kernbench" / "benches" / "1H_milestone_output"
/ "gqa" / "long_ctx" / "sweep_decode_composite.json"
)
# --- mac-dim topology override -----------------------------------------------
def _topo_with_mac(mac_m: int, mac_k: int, mac_n: int):
"""Compiled topology with mac dims injected into every pe_gemm node."""
from kernbench.topology.builder import resolve_topology
handle = resolve_topology("topology.yaml")
g = handle.topology_obj
n = 0
for node in g.nodes.values():
if node.kind == "pe_gemm":
node.attrs["mac_m"] = mac_m
node.attrs["mac_k"] = mac_k
node.attrs["mac_n"] = mac_n
n += 1
print(f" injected mac=({mac_m},{mac_k},{mac_n}) into {n} pe_gemm nodes")
return handle
# --- tiling monkeypatch for TLContext.dot ------------------------------------
def _make_tiled_dot(orig_dot, mac_m: int, mac_k: int, mac_n: int):
from kernbench.common.pe_commands import GemmCmd
def tiled_dot(self, a, b):
if len(a.shape) < 2 or len(b.shape) < 2:
return orig_dot(self, a, b)
m, k = a.shape[-2], a.shape[-1]
k2, n = b.shape[-2], b.shape[-1]
if k != k2:
raise ValueError(f"dot shape mismatch: a.K={k} != b.K={k2}")
n_tiles = ceil(m / mac_m) * ceil(k / mac_k) * ceil(n / mac_n)
out_shape = (*a.shape[:-2], m, n)
out = self._make_compute_out(shape=out_shape, dtype=a.dtype)
self._await_pending(a, b)
if n_tiles <= 1:
self._emit(GemmCmd(a=a, b=b, out=out, m=m, k=k, n=n))
return out
# One real-data tile: full handles (so DataExecutor computes the
# true result), but timing fields = HW tile (one tile of cycles).
self._emit(GemmCmd(a=a, b=b, out=out, m=mac_m, k=mac_k, n=mac_n))
# Remaining timing-only tiles: throwaway scratch, 16x16x16.
scratch = self._make_compute_out(shape=(mac_m, mac_n), dtype=a.dtype)
for _ in range(n_tiles - 1):
self._emit(GemmCmd(a=a, b=b, out=scratch,
m=mac_m, k=mac_k, n=mac_n))
return out
return tiled_dot
# --- latency runner (replicates sweep's _engine_latency_ns) ------------------
def _engine_latency_ns(variant: str, S_kv: int, topo) -> float:
from kernbench.benches.gqa_helpers.long_ctx.gqa_decode_long_ctx_composite import ( # noqa: E501
_end_to_end_ns, _run_panel_fn,
)
from kernbench.runtime_api.bench_runner import run_bench
from kernbench.runtime_api.types import resolve_device
from kernbench.sim_engine.engine import GraphEngine
result = run_bench(
topology=topo, bench_fn=_run_panel_fn(variant, S_kv),
device=resolve_device(None),
engine_factory=lambda t, d: GraphEngine(
getattr(t, "topology_obj", t), enable_data=True,
),
)
if not result.completion.ok:
raise RuntimeError(
f"{variant}@{S_kv} failed: {result.completion}"
)
return _end_to_end_ns(result.engine.op_log)
def _emit_dispatch(variant: str, S_kv: int) -> int:
"""PE_CPU command count at the center rank (cube 6, pe 0)."""
from kernbench.benches.gqa_helpers.long_ctx.gqa_decode_long_ctx_composite import ( # noqa: E501
_emit_dispatch as prod_emit,
)
return prod_emit(variant, S_kv)[0]
def main() -> None:
import kernbench.triton_emu.tl_context as tlc
# Baseline (A): primitive UNTILED latencies from the production sweep
# (mac=0 / TFLOPS model). Read straight off the committed sweep JSON.
sweep = json.loads(SWEEP_JSON.read_text())
base_A = {}
for r in sweep["rows"]:
if r["variant"] == "primitive" and r["latency_ns"] is not None:
base_A[r["S_kv"]] = r["latency_ns"]
print(f"== mac tile = ({MAC_M},{MAC_K},{MAC_N}) ==")
# --- command-count sanity (emit-time, mac-independent) ---------------
orig_dot = tlc.TLContext.dot
print("\n[dispatch counts @ S_kv=131072]")
n_prim_untiled = _emit_dispatch("primitive", 131072)
tlc.TLContext.dot = _make_tiled_dot(orig_dot, MAC_M, MAC_K, MAC_N)
try:
n_prim_tiled = _emit_dispatch("primitive", 131072)
n_comp = None
finally:
tlc.TLContext.dot = orig_dot
n_comp = _emit_dispatch("composite", 131072)
print(f" primitive UNTILED PE_CPU cmds : {n_prim_untiled}")
print(f" primitive TILED PE_CPU cmds : {n_prim_tiled} "
f"(x{n_prim_tiled / max(n_prim_untiled,1):.0f})")
print(f" composite PE_CPU cmds : {n_comp}")
# --- latency sweep ----------------------------------------------------
rows = []
topo = _topo_with_mac(MAC_M, MAC_K, MAC_N)
for S_kv in S_KV_LATENCY:
A = base_A.get(S_kv)
# (C) composite on the mac engine (untouched dot path)
C = _engine_latency_ns("composite", S_kv, topo)
# (B) primitive TILED on the mac engine
tlc.TLContext.dot = _make_tiled_dot(orig_dot, MAC_M, MAC_K, MAC_N)
try:
B = _engine_latency_ns("primitive", S_kv, topo)
finally:
tlc.TLContext.dot = orig_dot
gap_pct = (B - C) / C * 100.0 if C else float("nan")
rows.append((S_kv, A, B, C, gap_pct))
print(f" S_kv={S_kv:>7}: A(untiled)={A!s:>12} "
f"B(tiled)={B:12.2f} C(comp)={C:12.2f} (B-C)/C={gap_pct:+6.1f}%")
# --- final table ------------------------------------------------------
print("\n==================== RESULT TABLE ====================")
print(f"{'S_kv':>8} | {'A untiled(ns)':>14} | {'B tiled(ns)':>14} | "
f"{'C comp(ns)':>14} | {'(B-C)/C':>9}")
print("-" * 72)
for S_kv, A, B, C, gap in rows:
a_s = f"{A:.2f}" if A is not None else "n/a"
print(f"{S_kv:>8} | {a_s:>14} | {B:>14.2f} | {C:>14.2f} | "
f"{gap:>+8.1f}%")
if __name__ == "__main__":
main()
@@ -0,0 +1,124 @@
"""Comparative figure for the memory-bound decode-streaming composite study.
Reads sweep_decode_streaming.json (emitted by milestone-1h-gqa, sweep
``decode_streaming``) and writes one two-panel PNG:
gqa_decode_streaming.png
Left — end-to-end single-rank decode latency (µs) vs per-rank context.
Right — achieved HBM bandwidth (GB/s) vs context, against the
256 GB/s per-rank roofline.
The memory-bound mirror of the compute-bound prefill figure. With T_q=1
the GEMMs are skinny (M=8) and the kernel is bound by streaming the KV
cache. Isolating a single rank (no inter-CUBE reduce) reveals what the
64-way Case-6 decode masks: the composite command still wins, not by
feeding the MAC array but by keeping the DMA pipeline full — its
scheduler-streamed concurrent tile DMAs extract ~230 GB/s (near the
256 GB/s roofline) while the primitive kernel's blocking tl.dot serializes
one tile DMA at a time and plateaus at ~166 GB/s. That bandwidth gap is a
~25-28 % latency win that grows nowhere near prefill's compute-bound
margin but is decidedly not zero.
Run (after the bench):
GQA_1H_RUN=1 GQA_1H_SWEEPS=decode_streaming python -m kernbench.cli.main \\
run --bench milestone-1h-gqa --topology topology.yaml
python scripts/paper/paper_plot_gqa_decode_streaming.py
"""
from __future__ import annotations
import json
from pathlib import Path
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt # noqa: E402
_REPO_ROOT = Path(__file__).resolve().parents[2]
_FIG_DIR = (
_REPO_ROOT / "src" / "kernbench" / "benches"
/ "1H_milestone_output" / "gqa" / "long_ctx"
)
_SWEEP_JSON = _FIG_DIR / "sweep_decode_streaming.json"
_PAPER_FIG_DIR = (
_REPO_ROOT / "docs" / "report" / "1H-codesign-paper" / "figures"
)
# Per-rank HBM roofline: 8 pseudo-channels × 32 GB/s (topology.yaml
# hbm_ctrl.num_pcs / pc_bw_gbs; = pe_dma_to_noc_bw_gbs).
_PEAK_HBM_GBS = 256.0
_VARIANT_STYLE = {
"primitive": ("primitive (tl.dot, hand-tiled)", "#c0504d", "o"),
"composite": ("composite GEMM", "#3b6ea5", "s"),
"composite_extended": ("composite + softmax_merge", "#4f8a4f", "^"),
}
_ORDER = ("primitive", "composite", "composite_extended")
def _ctx_label(c: int) -> str:
return f"{c // 1024}K" if c >= 1024 else str(c)
def _series(rows, variant, key):
pts = sorted(((r["s_kv"], r[key]) for r in rows
if r["variant"] == variant), key=lambda t: t[0])
return [p[0] for p in pts], [p[1] for p in pts]
def main() -> None:
sweep = json.loads(_SWEEP_JSON.read_text())
rows = sweep["rows"]
ctxs = sweep["s_kv_points"]
fig, (ax_lat, ax_bw) = plt.subplots(1, 2, figsize=(13.0, 4.8))
for v in _ORDER:
label, color, marker = _VARIANT_STYLE[v]
xs, lat = _series(rows, v, "latency_ns")
ax_lat.plot(xs, [y / 1e3 for y in lat], marker=marker,
color=color, label=label, lw=2)
xs, bw = _series(rows, v, "achieved_bw_gbs")
ax_bw.plot(xs, bw, marker=marker, color=color, label=label, lw=2)
for ax in (ax_lat, ax_bw):
ax.set_xscale("log", base=2)
ax.set_xticks(ctxs)
ax.set_xticklabels([_ctx_label(c) for c in ctxs])
ax.set_xlabel(r"per-rank context length $S_{kv}$ ($T_q{=}1$)")
ax.grid(True, ls=":", alpha=0.5)
ax.legend(fontsize=9)
ax_lat.set_ylabel("end-to-end decode latency (µs)")
ax_lat.set_title("Single-rank memory-bound decode latency per command form")
ax_bw.set_ylabel("achieved HBM bandwidth (GB/s)")
ax_bw.set_title(
"HBM bandwidth — composite keeps the DMA pipe full; primitive plateaus"
)
ax_bw.axhline(_PEAK_HBM_GBS, color="#888", ls="--", lw=1, alpha=0.7)
ax_bw.text(ctxs[0], _PEAK_HBM_GBS - 8, "256 GB/s roofline",
fontsize=8, color="#555", va="top")
ax_bw.set_ylim(0, _PEAK_HBM_GBS * 1.08)
fig.suptitle(
"Memory-bound decode streaming — use of composite commands\n"
"single-rank, GQA single-KV-head group ($h_q{=}8$, $d_{\\text{head}}"
"{=}128$); $M{=}8$ skinny, KV-streaming-bound",
fontsize=11,
)
fig.tight_layout(rect=(0, 0, 1, 0.92))
out = _FIG_DIR / "gqa_decode_streaming.png"
fig.savefig(out, dpi=150)
plt.close(fig)
print(f"wrote {out}")
if _PAPER_FIG_DIR.is_dir():
dst = _PAPER_FIG_DIR / out.name
dst.write_bytes(out.read_bytes())
print(f"copied {dst}")
if __name__ == "__main__":
main()
@@ -243,6 +243,12 @@ _FLOW_DATA = "#6699CC" # blue flit (data)
_FLOW_CTRL = "#ED7D65" # orange flit (control)
_FLOW_CRED = "#7BB661" # green (credit / ack)
# Font-size multiplier for the flow helpers. The stacked figure renders at
# full text width (a two-column figure*), so its fonts are scaled up here so
# they stay legible after the figure is fit to the page. Default 1.0 leaves
# the 2×2 flow figure unchanged.
_FS = 1.0
def _flow_swim(ax, x, y, w, h, label, sub=None):
ax.add_patch(mpatches.FancyBboxPatch(
@@ -251,11 +257,11 @@ def _flow_swim(ax, x, y, w, h, label, sub=None):
facecolor="white", edgecolor="#3a3a3a", linewidth=1.6))
ax.text(x + w / 2, y + h / 2 + (0.20 if sub else 0),
label, ha="center", va="center",
fontsize=10.5, fontweight="bold", color="#111")
fontsize=10.5 * _FS, fontweight="bold", color="#111")
if sub:
ax.text(x + w / 2, y + h / 2 - 0.35, sub,
ha="center", va="center",
fontsize=8, color="#555", fontstyle="italic")
fontsize=8 * _FS, color="#555", fontstyle="italic")
def _flow_flit(ax, x, y, color, letter="", size=0.32):
@@ -265,7 +271,7 @@ def _flow_flit(ax, x, y, color, letter="", size=0.32):
facecolor=color, edgecolor="#222", linewidth=0.8))
if letter:
ax.text(x, y, letter, ha="center", va="center",
fontsize=8.5, fontweight="bold", color="white")
fontsize=8.5 * _FS, fontweight="bold", color="white")
def _flow_wire(ax, x1, x2, y, color="#888"):
@@ -280,7 +286,7 @@ def _flow_dot(ax, x, y, color):
def _flow_label(ax, x, y, text, color="#222", fontsize=9):
ax.text(x, y, text, ha="center", va="center",
fontsize=fontsize, color=color, fontweight="bold")
fontsize=fontsize * _FS, color=color, fontweight="bold")
def _flow_lead(ax, x_tail, y_tail, x_head, y_head, color="#777"):
@@ -297,7 +303,7 @@ def _flow_setup(ax, kind):
facecolor="white", edgecolor=_COLOR[kind],
linewidth=0.9, alpha=0.85, zorder=0))
ax.text(10, 0.65, _TITLE[kind],
ha="center", va="center", fontsize=11.5,
ha="center", va="center", fontsize=11.5 * _FS,
fontweight="bold",
color=("#1B5E20" if kind == "ipcq" else "white"),
bbox=dict(
@@ -449,7 +455,7 @@ def _flow_legend(fig, leg_y=0.02):
facecolor=color, edgecolor="#222", linewidth=0.6,
transform=fig.transFigure))
fig.text(lx + 0.025, y + 0.011, text,
ha="left", va="center", fontsize=10,
ha="left", va="center", fontsize=10 * _FS,
fontweight="bold", color="#222")
lx += 0.32
@@ -461,7 +467,11 @@ def _flow_legend(fig, leg_y=0.02):
def _plot_architecture_flow() -> Path:
"""4 panels arranged 2×2 — each a horizontal Sender → NoC → Receiver
flow with small flit-style packets, dot-marker annotations and a
bottom name plate. Aesthetic mirrors latency_model.png."""
bottom name plate. Aesthetic mirrors latency_model.png. Fonts scaled
up via _FS so the figure stays legible when fit to the page."""
global _FS
_FS = 1.5
try:
fig, axes = plt.subplots(2, 2, figsize=(18.0, 11.5))
_draw_flow_case(axes[0, 0], "doorbell")
_draw_flow_case(axes[0, 1], "hmq")
@@ -470,12 +480,14 @@ def _plot_architecture_flow() -> Path:
fig.suptitle(
"Per-send architecture = $\\Sigma$ control overhead + "
"data-path DMA + receiver wake",
fontsize=14.5, fontweight="bold", y=0.995)
fontsize=14.5 * _FS, fontweight="bold", y=0.995)
_flow_legend(fig, leg_y=0.015)
fig.tight_layout(rect=(0, 0.07, 1, 0.96))
out = _OUT_DIR / "ipcq_alternatives_architecture_flow.png"
fig.savefig(out, dpi=150, bbox_inches="tight")
plt.close(fig)
finally:
_FS = 1.0
return out
@@ -483,19 +495,25 @@ def _plot_architecture_flow() -> Path:
def _plot_architecture_stacked() -> Path:
"""Same per-case flow content as the 2×2 figure, but stacked one
case per row (4 rows × 1 column). Wider panels give each case more
horizontal room."""
fig, axes = plt.subplots(4, 1, figsize=(16.0, 19.0))
horizontal room. Rendered at full text width (two-column figure*), so
fonts are scaled up via _FS to stay legible after page fitting."""
global _FS
_FS = 1.9
try:
fig, axes = plt.subplots(4, 1, figsize=(13.0, 15.0))
for ax, kind in zip(axes, ["doorbell", "hmq", "rdma", "ipcq"]):
_draw_flow_case(ax, kind)
fig.suptitle(
"Per-send architecture = $\\Sigma$ control overhead + "
"data-path DMA + receiver wake",
fontsize=14.5, fontweight="bold", y=0.997)
fontsize=14.5 * _FS, fontweight="bold", y=0.997)
_flow_legend(fig, leg_y=0.010)
fig.tight_layout(rect=(0, 0.05, 1, 0.97))
fig.tight_layout(rect=(0, 0.06, 1, 0.97))
out = _OUT_DIR / "ipcq_alternatives_architecture_stacked.png"
fig.savefig(out, dpi=150, bbox_inches="tight")
plt.close(fig)
finally:
_FS = 1.0
return out
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@@ -0,0 +1,172 @@
{
"version": 1,
"variants": [
"primitive",
"composite",
"composite_extended"
],
"s_kv_points": [
2048,
4096,
8192,
16384
],
"rows": [
{
"variant": "primitive",
"s_kv": 2048,
"M": 8,
"latency_ns": 6188.437999999816,
"gemm_busy_ns": 1048.576000000001,
"dma_busy_ns": 6322.0,
"kv_bytes": 1048576.0,
"achieved_bw_gbs": 169.44114169036374,
"achieved_tflops": 1.3555291335229098,
"mac_util": 0.16944114169036373,
"dma_occupancy": 1.021582505957107
},
{
"variant": "composite",
"s_kv": 2048,
"M": 8,
"latency_ns": 4836.115999999989,
"gemm_busy_ns": 6629.632000000123,
"dma_busy_ns": 267480.720000013,
"kv_bytes": 1048576.0,
"achieved_bw_gbs": 216.82192900253062,
"achieved_tflops": 1.734575432020245,
"mac_util": 0.2168219290025306,
"dma_occupancy": 55.30899589671001
},
{
"variant": "composite_extended",
"s_kv": 2048,
"M": 8,
"latency_ns": 4737.751999999986,
"gemm_busy_ns": 8481.408000000116,
"dma_busy_ns": 251398.7400000122,
"kv_bytes": 1048576.0,
"achieved_bw_gbs": 221.32353065335693,
"achieved_tflops": 1.7705882452268553,
"mac_util": 0.22132353065335691,
"dma_occupancy": 53.06287454472352
},
{
"variant": "primitive",
"s_kv": 4096,
"M": 8,
"latency_ns": 12510.006000000496,
"gemm_busy_ns": 2097.152000000002,
"dma_busy_ns": 12602.0,
"kv_bytes": 2097152.0,
"achieved_bw_gbs": 167.6379691584414,
"achieved_tflops": 1.3411037532675312,
"mac_util": 0.1676379691584414,
"dma_occupancy": 1.0073536335633653
},
{
"variant": "composite",
"s_kv": 4096,
"M": 8,
"latency_ns": 9360.883999999554,
"gemm_busy_ns": 19520.799999939867,
"dma_busy_ns": 1059043.5999999335,
"kv_bytes": 2097152.0,
"achieved_bw_gbs": 224.03354213128802,
"achieved_tflops": 1.792268337050304,
"mac_util": 0.224033542131288,
"dma_occupancy": 113.13499878857424
},
{
"variant": "composite_extended",
"s_kv": 4096,
"M": 8,
"latency_ns": 9198.135999999562,
"gemm_busy_ns": 39531.583999941715,
"dma_busy_ns": 1026582.7399999356,
"kv_bytes": 2097152.0,
"achieved_bw_gbs": 227.99749862364504,
"achieved_tflops": 1.8239799889891604,
"mac_util": 0.22799749862364505,
"dma_occupancy": 111.60769312390951
},
{
"variant": "primitive",
"s_kv": 8192,
"M": 8,
"latency_ns": 25153.141999997388,
"gemm_busy_ns": 4194.304000000004,
"dma_busy_ns": 25162.0,
"kv_bytes": 4194304.0,
"achieved_bw_gbs": 166.7506985807354,
"achieved_tflops": 1.334005588645883,
"mac_util": 0.16675069858073538,
"dma_occupancy": 1.0003521627637062
},
{
"variant": "composite",
"s_kv": 8192,
"M": 8,
"latency_ns": 18419.187999999034,
"gemm_busy_ns": 64177.11999976149,
"dma_busy_ns": 4214541.840000685,
"kv_bytes": 4194304.0,
"achieved_bw_gbs": 227.713838416776,
"achieved_tflops": 1.821710707334208,
"mac_util": 0.227713838416776,
"dma_occupancy": 228.81257523409317
},
{
"variant": "composite_extended",
"s_kv": 8192,
"M": 8,
"latency_ns": 18128.439999999027,
"gemm_busy_ns": 169650.68799976518,
"dma_busy_ns": 4149323.2200006745,
"kv_bytes": 4194304.0,
"achieved_bw_gbs": 231.365964197704,
"achieved_tflops": 1.850927713581632,
"mac_util": 0.231365964197704,
"dma_occupancy": 228.88473691067168
},
{
"variant": "primitive",
"s_kv": 16384,
"M": 8,
"latency_ns": 50439.414000008954,
"gemm_busy_ns": 8388.607999999076,
"dma_busy_ns": 50282.0,
"kv_bytes": 8388608.0,
"achieved_bw_gbs": 166.31057609032712,
"achieved_tflops": 1.330484608722617,
"mac_util": 0.16631057609032712,
"dma_occupancy": 0.9968791469304357
},
{
"variant": "composite",
"s_kv": 16384,
"M": 8,
"latency_ns": 36535.79600000568,
"gemm_busy_ns": 228978.46400288073,
"dma_busy_ns": 16815028.239995122,
"kv_bytes": 8388608.0,
"achieved_bw_gbs": 229.59970545047648,
"achieved_tflops": 1.8367976436038118,
"mac_util": 0.22959970545047648,
"dma_occupancy": 460.2343477063565
},
{
"variant": "composite_extended",
"s_kv": 16384,
"M": 8,
"latency_ns": 35989.048000005685,
"gemm_busy_ns": 701990.3680028584,
"dma_busy_ns": 16684294.09999516,
"kv_bytes": 8388608.0,
"achieved_bw_gbs": 233.0877993771515,
"achieved_tflops": 1.864702395017212,
"mac_util": 0.2330877993771515,
"dma_occupancy": 463.5936493789034
}
]
}
@@ -0,0 +1,129 @@
"""GQA decode kernel — Case 6, **primitive-TILED** (16×16×16 MAC blocking).
Same Case-6 placement and (m, , O) reduce as the primitive baseline
(``_gqa_attention_decode_long_ctx_cube_sp_pe_sp``); the only difference is
that each local-attention matmul is *hand-blocked into 16×16×16 GemmCmds*
(mac=16) instead of one coarse ``tl.dot`` per tile. This models a kernel
that issues the MAC-array fan-out from PE_CPU itself: the per-block GemmCmd
count is ``ceil(M/16)·ceil(K/16)·ceil(N/16)`` per matmul, charging the full
ADR-0064 dispatch cost for every block — the "dispatch explosion" the
composite form offloads to PE_SCHEDULER.
FLOPs are conserved (each 16³ GemmCmd carries the TFLOPS-model compute of
its block; the blocks sum to the full matmul), so end-to-end compute time
is unchanged vs the coarse primitive — only the PE_CPU command count and
its dispatch cycles grow. Inputs are zero (decode bench convention), so the
blocked accumulation is identically zero; the kernel returns a single
zeroed ``(M, N)`` output handle that the downstream softmax consumes — no
per-block accumulation handle needed for this zero-input study.
"""
from __future__ import annotations
from math import ceil
from kernbench.common.pe_commands import GemmCmd
from kernbench.benches.gqa_helpers.long_ctx._gqa_mlo_reduce import (
_ROOT_CUBE,
_merge_running,
reduce_mlo,
)
TILE_S_KV = 1024 # ADR-0063 §A.2 S_kv-axis tile sweep (per-tile width).
MAC = 16 # 16×16×16 MAC-array blocking granularity.
def _blocked_dot(A, B, *, tl):
"""``A @ B`` issued as one GemmCmd per 16×16×16 block.
``A``:(M, K), ``B``:(K, N) → out:(M, N). Emits
``ceil(M/16)·ceil(K/16)·ceil(N/16)`` GemmCmds (each charged the full
ADR-0064 dispatch cost via ``tl.dot``'s emit path). **All blocks write
the same ``(M, N)`` output handle** (``out``), and that handle is
returned — so downstream softmax ops depend on it exactly like the
coarse ``tl.dot`` path (the engine tracks the producer by output handle
id, and ``GemmCmd`` is a blocking PE_CPU command, so the block GEMMs
serialize on the critical path ahead of the consuming ``tl.max``/
``tl.exp``). K is innermost so each (mi, ni) output tile accumulates
across the K blocks into the same handle.
"""
M, K = A.shape[-2], A.shape[-1]
K2, N = B.shape[-2], B.shape[-1]
assert K == K2, f"blocked_dot shape mismatch K={K} != {K2}"
out = tl._make_compute_out(shape=(M, N), dtype="f16")
# One GemmCmd per 16³ block, all writing the shared `out` handle. A/B
# reuse the full operand handles at block dims (m,k,n = 16, or the
# ragged tail) — operands are TCM-resident (pinned), so this charges
# dispatch + the block's TFLOPS-model compute. K innermost = accumulate
# the K blocks into each (mi, ni) output tile of the shared handle.
for _mi in range(ceil(M / MAC)):
bm = min(MAC, M - _mi * MAC)
for _ni in range(ceil(N / MAC)):
bn = min(MAC, N - _ni * MAC)
for _ki in range(ceil(K / MAC)):
bk = min(MAC, K - _ki * MAC)
tl._emit(GemmCmd(a=A, b=B, out=out, m=bm, k=bk, n=bn))
return out
def gqa_attention_decode_long_ctx_cube_sp_pe_sp_tiled_kernel(
q_ptr: int,
k_ptr: int,
v_ptr: int,
o_ptr: int,
T_q: int,
S_kv: int,
h_q: int,
h_kv: int,
d_head: int,
C: int,
P: int,
*,
tl,
) -> None:
"""Case-6 decode, primitive-TILED (16×16×16 GemmCmd blocking)."""
G = h_q // h_kv
n_ranks = C * P
S_local = S_kv // n_ranks
pe_id = tl.program_id(axis=0)
cube_id = tl.program_id(axis=1)
Q = tl.load(q_ptr, shape=(G * T_q, d_head), dtype="f16")
n_tiles = (S_local + TILE_S_KV - 1) // TILE_S_KV
KV_ROW_BYTES = d_head * 2 # f16
tile_s0 = min(TILE_S_KV, S_local)
K_T = tl.load(k_ptr, shape=(d_head, tile_s0), dtype="f16")
V = tl.load(v_ptr, shape=(tile_s0, d_head), dtype="f16")
scores = _blocked_dot(Q, K_T, tl=tl)
m_local = tl.max(scores, axis=-1)
centered = scores - m_local
exp_scores = tl.exp(centered)
l_local = tl.sum(exp_scores, axis=-1)
O_local = _blocked_dot(exp_scores, V, tl=tl)
for tile_idx in range(1, n_tiles):
tile_start = tile_idx * TILE_S_KV
tile_s = min(TILE_S_KV, S_local - tile_start)
with tl.scratch_scope():
K_T_t = tl.load(k_ptr + tile_start * KV_ROW_BYTES,
shape=(d_head, tile_s), dtype="f16")
V_t = tl.load(v_ptr + tile_start * KV_ROW_BYTES,
shape=(tile_s, d_head), dtype="f16")
scores_t = _blocked_dot(Q, K_T_t, tl=tl)
m_tile = tl.max(scores_t, axis=-1)
centered_t = scores_t - m_tile
exp_scores_t = tl.exp(centered_t)
l_tile = tl.sum(exp_scores_t, axis=-1)
O_tile = _blocked_dot(exp_scores_t, V_t, tl=tl)
m_new, l_new, O_new = _merge_running(
m_local, l_local, O_local, m_tile, l_tile, O_tile, tl=tl,
)
tl.copy_to(m_local, m_new)
tl.copy_to(l_local, l_new)
tl.copy_to(O_local, O_new)
reduce_mlo(pe_id, cube_id, m_local, l_local, O_local, P, tl=tl)
if pe_id == 0 and cube_id == _ROOT_CUBE:
O_final = O_local / l_local
tl.store(o_ptr, O_final)
@@ -0,0 +1,168 @@
"""milestone-1h-gqa: memory-bound decode streaming composite-command study.
Single-rank companion to the compute-bound prefill study
(``gqa_prefill_compute_bound``). Same three command-form kernels
(``_gqa_prefill_compute_bound``), same single-rank (C=P=1) harness, but
driven with **T_q=1** (decode) and swept over a large S_kv. With T_q=1 the
score / context GEMMs are skinny (M = G·T_q = 8), so the MAC array is
barely fed and the kernel is **memory-bound** — streaming the KV cache out
of HBM dominates. This is the regime mirror of prefill: command form is
*latency-neutral* here, because the bottleneck is data movement, not
issue.
Running single-rank (no cross-CUBE (m,,O) reduce) isolates the
local-attention streaming vs. issue trade-off cleanly — unlike the 64-way
Case-6 decode sweep, whose small-S_kv end-to-end latency is masked by the
inter-CUBE reduce tail. S_kv here is the *per-rank* context, so S_kv=64K
single-rank is the per-PE load of a 4M-token, 64-way-sharded decode.
Records per (variant, S_kv) the end-to-end latency, GEMM/DMA engine busy
time, MAC utilization (achieved ÷ peak), and DMA occupancy (dma_busy ÷
e2e), so the comparative plot can show all three command forms landing on
the same latency curve while the MAC array stays floored and the DMA
channel stays saturated.
Runs in data mode (engine latency). Gated via the umbrella
``GQA_1H_SWEEPS=decode_streaming``.
"""
from __future__ import annotations
import json
from pathlib import Path
from kernbench.benches.gqa_helpers.long_ctx._gqa_prefill_compute_bound import (
gqa_prefill_composite_ext_kernel,
gqa_prefill_composite_kernel,
gqa_prefill_primitive_kernel,
)
from kernbench.policy.placement.dp import DPPolicy
_OUTPUT_DIR = (
Path(__file__).resolve().parents[2]
/ "1H_milestone_output" / "gqa" / "long_ctx"
)
_SWEEP_JSON = _OUTPUT_DIR / "sweep_decode_streaming.json"
# Same kernels as the prefill study — they are general attention kernels;
# the regime is set by T_q (=1 here → memory-bound).
_VARIANT_KERNELS = {
"primitive": gqa_prefill_primitive_kernel,
"composite": gqa_prefill_composite_kernel,
"composite_extended": gqa_prefill_composite_ext_kernel,
}
_VARIANTS = ("primitive", "composite", "composite_extended")
# Per-rank context length. T_q=1, so M = G·T_q = 8 (skinny, memory-bound)
# at every point. Capped at 16K: the *plain* composite materializes the
# full (M, S_kv) scores in TCM scratch (~48·S_kv B incl. the exp transients),
# which overflows the 1 MB kernel scratch beyond ~21K — itself a sign that
# the recipe (composite_extended), which tiles the softmax, is what long
# context actually needs. S_kv is per-rank, so 16K single-rank already
# equals the per-PE load of a 1M-token, 64-way-sharded decode.
_S_KV_POINTS = (2048, 4096, 8192, 16384)
_T_Q = 1
_H_Q, _H_KV, _D_HEAD = 8, 1, 128
_PEAK_TFLOPS = 8.0 # per-PE f16 GEMM peak (topology.yaml pe_gemm.peak_tflops_f16)
def _run_panel_fn(variant: str, s_kv: int):
kernel = _VARIANT_KERNELS[variant]
panel = f"decode_stream_{variant}_s{s_kv}"
def _bench_fn(ctx):
dp = DPPolicy(cube="replicate", pe="replicate",
num_cubes=1, num_pes=1)
q = ctx.zeros((_T_Q, _H_Q * _D_HEAD),
dtype="f16", dp=dp, name=f"{panel}_q")
k = ctx.zeros((s_kv, _H_KV * _D_HEAD),
dtype="f16", dp=dp, name=f"{panel}_k")
v = ctx.zeros((s_kv, _H_KV * _D_HEAD),
dtype="f16", dp=dp, name=f"{panel}_v")
o = ctx.empty((_T_Q, _H_Q * _D_HEAD),
dtype="f16", dp=dp, name=f"{panel}_o")
ctx.launch(panel, kernel, q, k, v, o,
_T_Q, s_kv, _H_Q, _H_KV, _D_HEAD, 1, 1,
_auto_dim_remap=False)
return _bench_fn
def _end_to_end_ns(op_log) -> float:
if not op_log:
return 0.0
return max(r.t_end for r in op_log) - min(r.t_start for r in op_log)
def _engine_busy_ns(op_log, suffix: str) -> float:
return sum(r.t_end - r.t_start
for r in op_log if r.component_id.endswith("." + suffix))
def _run_panel(variant: str, s_kv: int, topology: str) -> dict:
from kernbench.runtime_api.bench_runner import run_bench
from kernbench.runtime_api.types import resolve_device
from kernbench.sim_engine.engine import GraphEngine
from kernbench.topology.builder import resolve_topology
topo = resolve_topology(topology)
result = run_bench(
topology=topo, bench_fn=_run_panel_fn(variant, s_kv),
device=resolve_device(None),
engine_factory=lambda t, d: GraphEngine(
getattr(t, "topology_obj", t), enable_data=True,
),
)
if not result.completion.ok:
raise RuntimeError(
f"gqa-decode-streaming {variant}@{s_kv} failed: {result.completion}"
)
op_log = result.engine.op_log
e2e = _end_to_end_ns(op_log)
gemm = _engine_busy_ns(op_log, "pe_gemm")
dma = _engine_busy_ns(op_log, "pe_dma")
G = _H_Q // _H_KV
M = G * _T_Q
# Useful attention flops (Q·Kᵀ + P·V), single rank.
useful_flops = 4.0 * M * _D_HEAD * s_kv
# KV-cache bytes streamed from HBM (K + V, f16) — the memory-bound
# denominator. achieved_bw = bytes / e2e (GB/s) measures how close the
# command form gets to the HBM roofline (the memory-bound mirror of
# MAC utilization in the compute-bound prefill study).
kv_bytes = 2.0 * s_kv * _D_HEAD * 2.0
return {
"variant": variant,
"s_kv": s_kv,
"M": M,
"latency_ns": e2e,
"gemm_busy_ns": gemm,
"dma_busy_ns": dma,
"kv_bytes": kv_bytes,
"achieved_bw_gbs": (kv_bytes / e2e) if e2e > 0 else 0.0,
"achieved_tflops": (useful_flops / e2e / 1e3) if e2e > 0 else 0.0,
"mac_util": (useful_flops / e2e / 1e3 / _PEAK_TFLOPS) if e2e > 0 else 0.0,
"dma_occupancy": (dma / e2e) if e2e > 0 else 0.0,
}
def run_sweep(topology: str = "topology.yaml") -> int:
"""Drive all (variant, S_kv) decode-streaming panels; write sweep.json."""
_OUTPUT_DIR.mkdir(parents=True, exist_ok=True)
rows = [
_run_panel(variant, s_kv, topology)
for s_kv in _S_KV_POINTS
for variant in _VARIANTS
]
sweep = {
"version": 1,
"variants": list(_VARIANTS),
"s_kv_points": list(_S_KV_POINTS),
"rows": rows,
}
_SWEEP_JSON.write_text(json.dumps(sweep, indent=2))
print(f" gqa-decode-streaming: {len(rows)} rows -> {_SWEEP_JSON}")
return len(rows)
if __name__ == "__main__":
run_sweep()
@@ -28,6 +28,9 @@ from kernbench.benches.gqa_helpers.long_ctx.gqa_decode_long_ctx_4cases import (
from kernbench.benches.gqa_helpers.long_ctx.gqa_decode_long_ctx_composite import (
run_sweep as _run_composite_sweep,
)
from kernbench.benches.gqa_helpers.long_ctx.gqa_decode_streaming import (
run_sweep as _run_decode_streaming_sweep,
)
from kernbench.benches.gqa_helpers.long_ctx.gqa_prefill_compute_bound import (
run_sweep as _run_prefill_cb_sweep,
)
@@ -66,6 +69,7 @@ def run(torch) -> None:
"decode": _run_decode_sweep,
"composite": _run_composite_sweep,
"prefill_cb": _run_prefill_cb_sweep,
"decode_streaming": _run_decode_streaming_sweep,
}
unknown = [s for s in sweeps if s not in runners]
if unknown: