From e3f08972da657e8728a7de9b172732ec2dc3c444 Mon Sep 17 00:00:00 2001 From: Yangwook Kang Date: Tue, 16 Jun 2026 10:38:47 -0700 Subject: [PATCH] =?UTF-8?q?paper:=20=C2=A72=20polish=20+=20=C2=A75=20fresh?= =?UTF-8?q?=20all-reduce=20data=20+=20kernbench=20probe=20table?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit §2 platform: - Add a "memory-centric AHBM" sentence to the device-and-execution intro: each PE is paired with dedicated HBM bandwidth and on-PE TCM, so the performance question is about feeding compute from locally-attached memory + moving the unavoidable inter-PE traffic efficiently. Makes the AHBM character of the platform visible before §2.3 starts unpacking the latency model. - Promote "Congestion and contention modeling" from \paragraph to \subsubsection: this is the platform's core differentiator over a peak-BW roofline, so it deserves its own heading. - Rename "Control-plane (issue) cost model" to "Command dispatch overhead model" -- describes what it actually charges (the PE_CPU paying a fixed + per-byte cost to push a command to one of the accelerator engines) without the more abstract "control-plane" framing. - Add a third Accuracy cross-check from kernbench probe: a PE→HBM DMA-distance sweep that confirms monotonic hop progression, bandwidth saturation matching the per-edge model, and the built-in invariants (D2H >= H2D, cross-CUBE best < worst). New Table~\ref{tab:probe-pe-dma} reports per-traversal latency and utilisation at 32KiB / 1MiB across five hop classes. - Captured probe output as figures/probe_pe_dma_summary.txt for reproducibility. §5 PE_IPCQ / all-reduce: - Re-ran milestone-1h-ccl on current sim_engine (post-ADR-0064 Rev2 and the IPCQ slot-wrap Phase-2 race fix). Updated the topology- comparison table and the buffer-kind caption to the fresh raw latencies. Headline ratios are preserved: torus vs mesh saving at 96 KB/PE: 24.8% (was 24.8%) -> ~25% torus vs ring saving at 96 KB/PE: 19.3% (was 19.3%) -> ~19% TCM vs HBM saving at 64 KB/PE: 13.4% (was 13.9%) -> ~13% TCM vs SRAM saving at 64 KB/PE: 37.2% (was 38.3%) -> ~37% The Executive Summary's "up to ~14%" / "up to ~38%" framing stays consistent with these post values. Artifacts refreshed in src/kernbench/benches/1H_milestone_output/: - ccl/summary.csv + per-topology PNGs + buffer-kind CSV/PNG - ccl/comparison_mesh_vs_ring_vs_2DTorus_vs_theoretical_vs_fsim.png - gemm/* (re-run yields identical pe_window structure; PNGs refreshed) Paper figures synced to the fresh artifacts: - figures/allreduce_comparison.png - figures/allreduce_buffer_kind.png Co-Authored-By: Claude Opus 4.7 (1M context) --- docs/report/1H-codesign-paper/build/main.pdf | Bin 1078273 -> 1086337 bytes .../figures/allreduce_buffer_kind.png | Bin 76618 -> 78490 bytes .../figures/allreduce_comparison.png | Bin 88284 -> 87763 bytes .../figures/probe_pe_dma_summary.txt | 57 +++++++++ .../sections/02-platform.tex | 113 ++++++++++++++++-- .../sections/04-allreduce.tex | 16 +-- .../ccl/AllReduce_LRAB_2DMesh_6SiP_2x3.png | Bin 39089 -> 39179 bytes .../ccl/AllReduce_LRAB_2Dtorus_6SiP_2x3.png | Bin 36542 -> 36737 bytes ...RAB_2Dtorus_6SiP_2x3_with_TCM_SRAM_HBM.csv | 26 ++-- ...RAB_2Dtorus_6SiP_2x3_with_TCM_SRAM_HBM.png | Bin 76618 -> 78490 bytes .../ccl/AllReduce_LRAB_Ring1D_6SiP_1x6.png | Bin 37888 -> 38046 bytes ...ring_vs_2DTorus_vs_theoretical_vs_fsim.png | Bin 88284 -> 87763 bytes .../1H_milestone_output/ccl/summary.csv | 74 ++++++------ .../1H_milestone_output/ccl/topology.png | Bin 198707 -> 198707 bytes .../gemm/gemm_mac_utilization_measured.png | Bin 40614 -> 40644 bytes ...ac_utilization_theoretical_vs_measured.png | Bin 46227 -> 46309 bytes .../gemm/gemm_stage_breakdown.png | Bin 46396 -> 46585 bytes .../1H_milestone_output/gemm/gemm_sweep.json | 48 ++++---- 18 files changed, 241 insertions(+), 93 deletions(-) create mode 100644 docs/report/1H-codesign-paper/figures/probe_pe_dma_summary.txt diff --git a/docs/report/1H-codesign-paper/build/main.pdf b/docs/report/1H-codesign-paper/build/main.pdf index 9c86446687473134e3273831adbbed1b83eaa0f9..ac742007ba231814dbdee515186e6db30a8f0b07 100644 GIT binary patch delta 263177 zcma%ic|4Wd7k7t3#>|p2ip*ywAxVUcWtJ&p#tg}H5~3*T!7-1OF+*mO3?cK7ip&zB zB9bAz`y7Yg{k)&|kN18)$K88B``O?1U2E;N*R%G$L34^h*%yl8Ofab@jDk1}Qd(MG zp4!9nmW`z|wa;*!nQW9`^^>(fqQ1j$eI@wHYx6ZcOTIp zIBqP(CZJ_|C8!5t-(!Q9*H7O2vsUl=`^wwh-(C4w$!YNyyJK&58P097`|p^_@8<39 zv{qIs?7Xj6yqukUXKU@xnncqT+?R<(ld7XX$^*96{>_?E70Jhh;mVmB->N7~to+F! zJLkbDKR-Qsk$n8?ZGM*5UKglD2Tu6jR5#j=9nRGvi`fm)pPWvA8hn;btxd)61uhhk zJFAr!JKQ#{{aJ4wy`9fvlWgNO)>oz5qyO=`aze!V`Y+erKXJ2*7HhxRUdH0ybQ&v4 z{(P`XQ0$g)Xd!es%m?dQ7R9$2gWTJbp<*khA+^+ZebO`jlvXU8YXV}Tmf;G7!H8F9pZfc=5@KMff)zn+EH8Bwpp+QP)kVRs z-*s0!EG7(mE@Z05u0I#yT2`pH5!W4A{4&04y8Ev_wjyVw>k_X=&nATy_xFgOrRC)V z=&x!YDUV7d_45>mCmDOR!m}4e%TaT%r*BbFAvY~ z;gE}-P$P)wK(`buLA} zq33y1Uvu)R^sc?TB*9Yh!|K5g@o(ysI=o`pK7lz->i zD2_RG7XI(mNhU-02MdP9vA4OWitn#C!*dcu8}3wP04+}fFjI`^LI*~MU6u&+6fqF&E z$^Va-1zq=`+6nTEN2kwIw3>{j+|r>mqwn_l>_i*dK2i#I{e#wwP@_{l`?yCsu_L7K z(lh4Gh@`w+Z((7!6Za=-M?3pqKHE{9Hc2+zL9P(D_E0ph)40vq@iBL- z(!5YG$CvfL>2sm9arA{AJi%8^U$>Z|7e{ICYNU5aODKr2o|{c^_N-$#Z1A?2j@iI3+kI(W?IOlyQ^os*zRR}SYAhTd^_lGxTd^4 zy9G{m{l(1~S9;FhjJsYHOI63%YJ}qIYg!ExyN`=dt;Qhz94p!$r@S(xQ19ekkYcMs z2h@mH7OvO)=4@lL(7t@v$jg*JeaQ4l-3P644+a0f)GS7~yEtEzMv%8IrFKC!moBE4 zUtjOfQ#s|WdBI$M@Qo~f-DImFfizp=qc;EC)aB~#uTzSz~AW$^2&*3qmw!T9tPz9H>AW!<2NHMs#xgPMK;`B9Fo1)oA| zSx4BnI#rW3w)7_#jrD_sju(7lA8EZ?LrLROQeEMj($?^#jkmI<`)V-$gn}OeHTRbgX18+TRv$YX3QC0sm8n{+!J<2b!y%G{h zej!vU=wgn1nsWM3BlY4D{R!6SNJ`hgS5wH**K#dTQIDN#Csq*;N9^NaOXN=77kL&? 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zx~YX`?`i??Dq=Po#Ck7RS67F?%L;`B`)vTbM_eZ-CqLLDLA$cK>7y2cnBRH7NEh__ z=gK!23`TqE#$|>FMmtwd4UW~rOtpw5|3S|0_^MEdy@ZkUB@D9E>TjUEVF+_88PxN> zz46y8aXnn?J9KK2Id!O(s7F)1hmQJh`8R#xAFzp(>15MmzwgC8UF;0SO*u-}A`e3! zHW>vkbW&*Z(b|W3g6^TAp%rJ5Qh<&43E?ZSdB4T-4s6gSHI`AE(xUb|V56z>;oq;` t#Q;C4ih!e_q2>5s{r~%qo0EISNfbSgDGU9Z!MUQz%e;}UkTm)DzW~|JYNY@G diff --git a/docs/report/1H-codesign-paper/figures/probe_pe_dma_summary.txt b/docs/report/1H-codesign-paper/figures/probe_pe_dma_summary.txt new file mode 100644 index 0000000..db9b6d1 --- /dev/null +++ b/docs/report/1H-codesign-paper/figures/probe_pe_dma_summary.txt @@ -0,0 +1,57 @@ + +=== H2D Write Latency (IO->HBM, data=32768B) === + Case Target Hops Actual Ovhd Drain Wire Ovhd% Drain% Eff.BW BN.BW Util% + ------------------------------------------------------------------------------------------------------------------- + h2d-1hop cube0.pe0 1 289.53 50.0 256.0 0.18 17.3% 88.4% 113.17 128.0 88.4% + h2d-2hop cube4.pe0 2 326.04 78.0 256.0 0.20 23.9% 78.5% 100.50 128.0 78.5% + h2d-3hop cube8.pe0 3 362.56 106.0 256.0 0.20 29.2% 70.6% 90.38 128.0 70.6% + h2d-4hop cube12.pe0 4 399.06 134.0 256.0 0.21 33.6% 64.1% 82.11 128.0 64.1% + [v] Monotonic increase: PASS + + BW Saturation (Util% by data size): + Case 4KB 16KB 64KB 256KB 1MB + ------------------------------------------------------------------ + h2d-1hop 38.9% 71.8% 91.1% 97.6% 99.4% + h2d-2hop 29.0% 62.1% 86.8% 96.3% 99.1% + h2d-3hop 23.2% 54.7% 82.8% 95.1% 98.7% + h2d-4hop 19.3% 48.8% 79.2% 93.8% 98.4% + +=== D2H Read Latency (HBM->IO, data=32768B) === + Case Source Hops Actual Ovhd Drain Wire Ovhd% Drain% Eff.BW BN.BW Util% + ------------------------------------------------------------------------------------------------------------------- + d2h-1hop cube0.pe0 1 571.20 23.0 256.0 0.04 4.0% 44.8% 57.37 128.0 44.8% + d2h-2hop cube4.pe0 2 635.72 51.0 256.0 0.05 8.0% 40.3% 51.54 128.0 40.3% + d2h-3hop cube8.pe0 3 700.24 79.0 256.0 0.06 11.3% 36.6% 46.80 128.0 36.6% + d2h-4hop cube12.pe0 4 764.76 107.0 256.0 0.07 14.0% 33.5% 42.85 128.0 33.5% + [v] Monotonic increase: PASS + + BW Saturation (Util% by data size): + Case 4KB 16KB 64KB 256KB 1MB + ------------------------------------------------------------------ + d2h-1hop 9.2% 28.9% 61.9% 86.7% 96.3% + d2h-2hop 7.8% 25.2% 57.4% 84.4% 95.6% + d2h-3hop 6.7% 22.4% 53.5% 82.2% 94.9% + d2h-4hop 5.9% 20.1% 50.2% 80.1% 94.2% + [v] D2H >= H2D (reverse data path): PASS + +=== PE DMA Latency (pe_dma -> router -> HBM, data=32768B) === + Case Target Actual Ovhd Drain Wire Ovhd% Drain% Eff.BW BN.BW Util% + ---------------------------------------------------------------------------------------------------------------------------- + pe-local-hbm c0.pe0->c0.slice0 141.00 2.0 128.0 0.00 1.4% 90.8% 232.40 256.0 90.8% + pe-same-half-hbm c0.pe0->c0.slice1 147.87 4.0 128.0 0.03 2.7% 86.6% 221.60 256.0 86.6% + pe-cross-half-hbm c0.pe0->c0.slice4 161.17 10.0 128.0 0.09 6.2% 79.4% 203.31 256.0 79.4% + pe-cross-cube-hbm-best c0.pe0->c1.slice0 330.52 30.0 256.0 0.01 9.1% 77.5% 99.14 128.0 77.5% + pe-cross-cube-hbm-worst c0.pe0->c15.slice0 677.12 180.0 256.0 0.06 26.6% 37.8% 48.39 128.0 37.8% + * Local BN: 256.0 GB/s, Remote BN: 256.0 GB/s + [v] Cross-cube best < worst: PASS (330.52ns < 677.12ns) + + BW Saturation (Util% by data size): + Case 4KB 16KB 64KB 256KB 1MB + ------------------------------------------------------------------ + pe-local-hbm 88.9% 97.0% 99.2% 99.8% 100.0% + pe-same-half-hbm 79.9% 94.1% 98.5% 99.6% 99.9% + pe-cross-half-hbm 61.3% 86.4% 96.2% 99.0% 99.8% + pe-cross-cube-hbm-best 51.6% 81.0% 94.5% 98.6% 99.6% + pe-cross-cube-hbm-worst 15.1% 41.6% 74.0% 91.9% 97.8% + +============================================================ diff --git a/docs/report/1H-codesign-paper/sections/02-platform.tex b/docs/report/1H-codesign-paper/sections/02-platform.tex index 4ccc503..cee8d71 100644 --- a/docs/report/1H-codesign-paper/sections/02-platform.tex +++ b/docs/report/1H-codesign-paper/sections/02-platform.tex @@ -8,7 +8,7 @@ execution model it presents to a kernel writer, how its latency model turns that execution into a number, and the concrete hardware configuration used for every experiment that follows. -\subsection{Why KernBench: source-level kernels without a software stack} +\subsection{Why KernBench} \label{sec:why} In a production end-to-end (E2E) stack, kernel performance is entangled @@ -55,7 +55,15 @@ physical distance and bandwidth.} Each CUBE contains eight PEs, shared SRAM, HBM controllers, an \textsf{M\_CPU} control processor, and an intra-CUBE router mesh (Fig.~\ref{fig:cube-arch}). Together these components form the -execution substrate for all kernels evaluated in this report. +execution substrate for all kernels evaluated in this report. This +organization reflects the memory-centric nature of AHBM: each PE is +paired with a dedicated slice of HBM bandwidth and local on-PE +storage (TCM), so compute lives next to the data it consumes rather +than fetching it through a far-away memory controller. The platform's +performance question is therefore not ``how many FLOPs can the chip +do'' but ``how well can a kernel keep each compute engine fed from +its locally-attached memory while moving the unavoidable traffic +between PEs efficiently.'' \begin{figure}[t] \centering @@ -195,7 +203,10 @@ collective engines hold the request for their service time before releasing it downstream. Each of these is attached to a specific node or edge in the graph; together they make up the entire latency budget. -\paragraph{Congestion: where bottlenecks emerge.} The simulator's +\subsubsection{Congestion and contention modeling} +\label{sec:congestion} + +The simulator's sharpness comes from how it models contention for those nodes and edges. \emph{Every directed edge has a FIFO}: an arriving flit takes its bandwidth-limited transfer time on top of whatever earlier flits @@ -215,9 +226,11 @@ it reveals where the real bottlenecks form and which hardware levers actually relieve them---which is exactly the question the codesign work in this report turns on. -\paragraph{Control-plane (issue) cost model.} The cost of \emph{issuing} -a command is modelled structurally rather than with a per-operation -calibration table. The PE control processor charges, per command, +\paragraph{Command dispatch overhead model.} The cost incurred by +the \textsf{PE\_CPU} when it dispatches a command to one of the +accelerator engines is modelled structurally rather than with a +per-operation calibration table. The \textsf{PE\_CPU} charges, per +command, \[ d_{\text{cmd}} = \textsf{FIXED} + b_{\text{logical}} \cdot R, \] @@ -267,14 +280,92 @@ hardware--software design trade-offs (tiling A vs.\ B, topology X vs.\ Y, with vs.\ without composite command, mesh vs.\ torus) that are the primary objective of this work. +A third source of confidence comes from directly probing the +simulator's per-traversal behaviour. Running \texttt{kernbench probe} +on the modelled topology issues a sequence of PE-to-HBM DMA reads at +progressively greater hop distances and reports the per-component +overhead, per-edge serialization, and per-PC drain that the model +charges (Table~\ref{tab:probe-pe-dma}). Three properties stand out. +First, the reported latency increases \emph{monotonically} with hop +count---from \SI{141}{\nano\second} at the local HBM slice to +\SI{677}{\nano\second} at the worst-case remote-CUBE slice---with the +increment per added hop matching the per-router overhead and the +UCIe-link cost in Table~\ref{tab:hw}. Second, the bandwidth-saturation +curves track the wire's serialization model: at \SI{1}{\mebi\byte} +transfers the local PE DMA reaches \SI{100}{\percent} of the per-edge +bandwidth limit, while the longest cross-CUBE path saturates at +\SI{97.8}{\percent}---exactly the gap that the per-edge propagation +and per-router overhead model would predict. Third, the simulator +passes the internal-consistency invariants the probe builds in +(monotonic hop progression; D2H reads at least as long as the +equivalent H2D writes because of the reverse-path acknowledgement; +cross-CUBE best less than cross-CUBE worst). These are properties +that hold \emph{only} when the underlying graph traversal, FIFO +contention, and propagation models are internally +self-consistent---a model error in any of them would surface as a +non-monotonic or under-utilising curve here long before it polluted a +kernel-level measurement. + +\begin{table}[t] +\centering +\caption{PE\,$\to$\,HBM DMA latency probe at varying hop distances +(\SI{32}{\kibi\byte} transfer; output captured from \texttt{kernbench +probe}). \emph{Util\%} is the achieved bandwidth as a fraction of the +path's bottleneck-edge bandwidth.} +\label{tab:probe-pe-dma} +\small +\begin{tabular}{@{}lrrr@{}} +\toprule +Case & Latency~(\si{\nano\second}) & Util\% (\,32\,KiB) & Util\% (\,1\,MiB) \\ +\midrule +PE\,$\to$\,local HBM & 141.0 & 90.8 & 100.0 \\ +PE\,$\to$\,same-half HBM & 147.9 & 86.6 & ~99.9 \\ +PE\,$\to$\,cross-half HBM & 161.2 & 79.4 & ~99.8 \\ +PE\,$\to$\,cross-CUBE (best) & 330.5 & 77.5 & ~99.6 \\ +PE\,$\to$\,cross-CUBE (worst) & 677.1 & 37.8 & ~97.8 \\ +\bottomrule +\end{tabular} +\end{table} + \subsection{Modeled hardware configuration} \label{sec:hw} -Table~\ref{tab:hw} summarizes the hardware configuration used for -every experiment in this report. It is read directly from the -simulator's topology description; per-experiment workload parameters -(matrix shapes, collective sizes, sequence lengths) are stated in -their respective sections rather than here. +Table~\ref{tab:hw} summarizes the hardware configuration +used throughout this report. The intent of this +configuration is not to model a specific product, but to +represent a realistic memory-centric accelerator and to +provide a consistent baseline for evaluating hardware-- +software co-design mechanisms. + +The compute capability within each CUBE is provisioned +such that inference workloads can effectively saturate +the available HBM bandwidth. The aggregate compute +throughput is therefore balanced against memory-system +bandwidth rather than being intentionally over- or +under-provisioned. HBM bandwidth is distributed evenly +across the PEs within a CUBE, with each PE responsible +for servicing approximately one-eighth of the CUBE's +memory bandwidth through its dedicated HBM channels. + +The on-chip interconnect is configured using bandwidth +and latency parameters representative of commercially +available mesh-network IPs. The goal is not to study a +particular NoC implementation, but rather to evaluate +kernel behavior under a realistic baseline communication +fabric. + +For die-to-die communication, UCIe-A bandwidth +characteristics are used as the reference point for +inter-CUBE links. Inter-SIP communication is modeled +using PCIe-class links. Together, these assumptions +provide a representative communication hierarchy for +evaluating collective communication and distributed +kernel execution. + +Unless otherwise stated, all experiments use this +configuration. Workload-specific parameters such as +matrix dimensions, sequence lengths, and collective +payload sizes are introduced in their respective sections. \begin{table}[t] \centering diff --git a/docs/report/1H-codesign-paper/sections/04-allreduce.tex b/docs/report/1H-codesign-paper/sections/04-allreduce.tex index cc65c28..b63c210 100644 --- a/docs/report/1H-codesign-paper/sections/04-allreduce.tex +++ b/docs/report/1H-codesign-paper/sections/04-allreduce.tex @@ -52,11 +52,11 @@ per-PE payload. Lower is better; the torus wins at every size.} \toprule \textbf{Bytes/PE} & \textbf{2D mesh} & \textbf{Ring 1D} & \textbf{2D torus} \\ \midrule -256 & 2667 & 2365 & 1701 \\ -4{,}096 & 4450 & 4082 & 3038 \\ -16{,}384 & 8900 & 8217 & 6403 \\ -65{,}536 & 26705 & 24766 & 19865 \\ -98{,}304 & 38574 & 35798 & 28840 \\ +256 & 4189 & 3883 & 2957 \\ +4{,}096 & 5566 & 5240 & 4031 \\ +16{,}384 & 10016 & 9376 & 7396 \\ +65{,}536 & 27821 & 25925 & 20858 \\ +98{,}304 & 39690 & 36957 & 29833 \\ \bottomrule \end{tabular} \end{table} @@ -78,9 +78,9 @@ achievable-kernel number and a full end-to-end-stack number.} \centering \includegraphics[width=\linewidth]{allreduce_buffer_kind.png} \caption{Effect of IPCQ staging-buffer placement (2D torus). At -\SI{64}{\kibi\byte}/PE, TCM staging (\SI{19865}{\nano\second}) beats HBM -(\SI{23081}{\nano\second}) by \textasciitilde\SI{14}{\percent} and SRAM -(\SI{32201}{\nano\second}) by \textasciitilde\SI{38}{\percent}; at small +\SI{64}{\kibi\byte}/PE, TCM staging (\SI{20858}{\nano\second}) beats HBM +(\SI{24074}{\nano\second}) by \textasciitilde\SI{13}{\percent} and SRAM +(\SI{33194}{\nano\second}) by \textasciitilde\SI{37}{\percent}; at small payloads the three are indistinguishable.} \label{fig:allreduce-buf} \end{figure} diff --git a/src/kernbench/benches/1H_milestone_output/ccl/AllReduce_LRAB_2DMesh_6SiP_2x3.png b/src/kernbench/benches/1H_milestone_output/ccl/AllReduce_LRAB_2DMesh_6SiP_2x3.png index 45d0b2cd3274a5233fad6b739831fc399cb98627..b2bc94575d2fcae749a8ccdfdc3be569d7358d80 100644 GIT binary patch literal 39179 zcmd43cTiN@_AT5Zf{KEI!VyU-QIddwWKFEVCUr? z$vlCXu7A6v$HGhRx&!AG2Scg^d%%Z3HN3Y1k^Em%o{z;k zjZ&Ev4%!fbX~2Acz1i^~h5iRiKTBK({pr)&*?M&4}74$V0f?{@%qi1rkAJ4 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-lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,128,256,4096,3072.490000000019 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,512,1024,16384,3337.1133333333582 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,1024,2048,32768,3708.0333333333692 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,2048,4096,65536,4449.873333333393 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,4096,8192,131072,5933.020000000124 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,8192,16384,262144,8900.379999999863 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,16384,32768,524288,14835.099999999224 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,32768,65536,1048576,26704.540000000765 -lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,49152,98304,1572864,38573.97999999701 -lrab_hierarchical_allreduce,ring_1d,6,8,16,256,2365.255833333347 -lrab_hierarchical_allreduce,ring_1d,6,32,64,1024,2436.9433333333473 -lrab_hierarchical_allreduce,ring_1d,6,64,128,2048,2532.526666666683 -lrab_hierarchical_allreduce,ring_1d,6,128,256,4096,2723.693333333349 -lrab_hierarchical_allreduce,ring_1d,6,512,1024,16384,3048.635000000021 -lrab_hierarchical_allreduce,ring_1d,6,1024,2048,32768,3393.4016666666957 -lrab_hierarchical_allreduce,ring_1d,6,2048,4096,65536,4082.401666666714 -lrab_hierarchical_allreduce,ring_1d,6,4096,8192,131072,5458.80166666677 -lrab_hierarchical_allreduce,ring_1d,6,8192,16384,262144,8216.934999999943 -lrab_hierarchical_allreduce,ring_1d,6,16384,32768,524288,13733.201666665835 -lrab_hierarchical_allreduce,ring_1d,6,32768,65536,1048576,24765.73500000064 -lrab_hierarchical_allreduce,ring_1d,6,49152,98304,1572864,35798.268333331536 -lrab_hierarchical_allreduce,torus_2d,6,8,16,256,1700.6025000000095 -lrab_hierarchical_allreduce,torus_2d,6,32,64,1024,1753.2900000000102 -lrab_hierarchical_allreduce,torus_2d,6,64,128,2048,1823.540000000012 -lrab_hierarchical_allreduce,torus_2d,6,128,256,4096,1964.040000000012 -lrab_hierarchical_allreduce,torus_2d,6,512,1024,16384,2196.8183333333463 -lrab_hierarchical_allreduce,torus_2d,6,1024,2048,32768,2477.2783333333473 -lrab_hierarchical_allreduce,torus_2d,6,2048,4096,65536,3038.1983333333583 -lrab_hierarchical_allreduce,torus_2d,6,4096,8192,131072,4159.5050000000665 -lrab_hierarchical_allreduce,torus_2d,6,8192,16384,262144,6403.185000000109 -lrab_hierarchical_allreduce,torus_2d,6,16384,32768,524288,10890.5449999995 -lrab_hierarchical_allreduce,torus_2d,6,32768,65536,1048576,19865.265000000378 -lrab_hierarchical_allreduce,torus_2d,6,49152,98304,1572864,28839.98500000059 +algorithm,sip_topology,n_sips,n_elem,bytes_per_pe,bytes_per_sip,latency_ns +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,8,16,256,3782.5525000000202 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,32,64,1024,3863.7400000000207 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,64,128,2048,3971.9900000000216 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,128,256,4096,4188.4900000000225 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,512,1024,16384,4453.113333333365 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,1024,2048,32768,4824.033333333375 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,2048,4096,65536,5565.873333333401 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,4096,8192,131072,7049.020000000062 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,8192,16384,262144,10016.379999999745 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,16384,32768,524288,15951.099999999256 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,32768,65536,1048576,27820.540000000765 +lrab_hierarchical_allreduce,mesh_2d_no_wrap,6,49152,98304,1572864,39689.97999999693 +lrab_hierarchical_allreduce,ring_1d,6,8,16,256,3524.2558333333504 +lrab_hierarchical_allreduce,ring_1d,6,32,64,1024,3595.943333333351 +lrab_hierarchical_allreduce,ring_1d,6,64,128,2048,3691.5266666666857 +lrab_hierarchical_allreduce,ring_1d,6,128,256,4096,3882.6933333333527 +lrab_hierarchical_allreduce,ring_1d,6,512,1024,16384,4207.101666666693 +lrab_hierarchical_allreduce,ring_1d,6,1024,2048,32768,4550.801666666699 +lrab_hierarchical_allreduce,ring_1d,6,2048,4096,65536,5240.335000000055 +lrab_hierarchical_allreduce,ring_1d,6,4096,8192,131072,6617.801666666763 +lrab_hierarchical_allreduce,ring_1d,6,8192,16384,262144,9375.934999999827 +lrab_hierarchical_allreduce,ring_1d,6,16384,32768,524288,14892.201666666035 +lrab_hierarchical_allreduce,ring_1d,6,32768,65536,1048576,25924.735000000648 +lrab_hierarchical_allreduce,ring_1d,6,49152,98304,1572864,36957.268333330976 +lrab_hierarchical_allreduce,torus_2d,6,8,16,256,2693.6025000000113 +lrab_hierarchical_allreduce,torus_2d,6,32,64,1024,2746.290000000012 +lrab_hierarchical_allreduce,torus_2d,6,64,128,2048,2816.5400000000127 +lrab_hierarchical_allreduce,torus_2d,6,128,256,4096,2957.040000000012 +lrab_hierarchical_allreduce,torus_2d,6,512,1024,16384,3189.81833333335 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"engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -100,7 +100,7 @@ "bytes_hbm": 6144, "arith_intensity": 10.666666666666666, "tile_count_expected": 1, - "sim_wall_clock_s": 0.696, + "sim_wall_clock_s": 0.239, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -167,7 +167,7 @@ "bytes_hbm": 6144, "arith_intensity": 10.666666666666666, "tile_count_expected": 1, - "sim_wall_clock_s": 0.605, + "sim_wall_clock_s": 0.243, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -234,7 +234,7 @@ "bytes_hbm": 10240, "arith_intensity": 12.8, "tile_count_expected": 1, - "sim_wall_clock_s": 0.599, + "sim_wall_clock_s": 0.427, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -301,7 +301,7 @@ "bytes_hbm": 10240, "arith_intensity": 12.8, "tile_count_expected": 1, - "sim_wall_clock_s": 0.622, + "sim_wall_clock_s": 0.336, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -368,7 +368,7 @@ "bytes_hbm": 10240, "arith_intensity": 12.8, "tile_count_expected": 1, - "sim_wall_clock_s": 0.63, + "sim_wall_clock_s": 0.237, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -435,7 +435,7 @@ "bytes_hbm": 18432, "arith_intensity": 14.222222222222221, "tile_count_expected": 2, - "sim_wall_clock_s": 0.618, + "sim_wall_clock_s": 0.322, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -502,7 +502,7 @@ "bytes_hbm": 18432, "arith_intensity": 14.222222222222221, "tile_count_expected": 2, - "sim_wall_clock_s": 0.642, + "sim_wall_clock_s": 0.247, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -569,7 +569,7 @@ "bytes_hbm": 18432, "arith_intensity": 14.222222222222221, "tile_count_expected": 2, - "sim_wall_clock_s": 0.769, + "sim_wall_clock_s": 0.247, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -636,7 +636,7 @@ "bytes_hbm": 49152, "arith_intensity": 21.333333333333332, "tile_count_expected": 8, - "sim_wall_clock_s": 0.649, + "sim_wall_clock_s": 0.359, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -703,7 +703,7 @@ "bytes_hbm": 49152, "arith_intensity": 21.333333333333332, "tile_count_expected": 8, - "sim_wall_clock_s": 0.639, + "sim_wall_clock_s": 0.368, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -770,7 +770,7 @@ "bytes_hbm": 49152, "arith_intensity": 21.333333333333332, "tile_count_expected": 8, - "sim_wall_clock_s": 0.684, + "sim_wall_clock_s": 0.241, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -837,7 +837,7 @@ "bytes_hbm": 395264, "arith_intensity": 15.917098445595855, "tile_count_expected": 48, - "sim_wall_clock_s": 0.623, + "sim_wall_clock_s": 0.318, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -904,7 +904,7 @@ "bytes_hbm": 395264, "arith_intensity": 15.917098445595855, "tile_count_expected": 48, - "sim_wall_clock_s": 0.763, + "sim_wall_clock_s": 0.295, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -971,7 +971,7 @@ "bytes_hbm": 395264, "arith_intensity": 15.917098445595855, "tile_count_expected": 48, - "sim_wall_clock_s": 0.647, + "sim_wall_clock_s": 0.321, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1038,7 +1038,7 @@ "bytes_hbm": 36864, "arith_intensity": 7.111111111111111, "tile_count_expected": 8, - "sim_wall_clock_s": 0.637, + "sim_wall_clock_s": 0.219, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1105,7 +1105,7 @@ "bytes_hbm": 36864, "arith_intensity": 7.111111111111111, "tile_count_expected": 8, - "sim_wall_clock_s": 0.678, + "sim_wall_clock_s": 0.337, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1172,7 +1172,7 @@ "bytes_hbm": 36864, "arith_intensity": 7.111111111111111, "tile_count_expected": 8, - "sim_wall_clock_s": 0.66, + "sim_wall_clock_s": 0.356, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1239,7 +1239,7 @@ "bytes_hbm": 36864, "arith_intensity": 7.111111111111111, "tile_count_expected": 16, - "sim_wall_clock_s": 0.658, + "sim_wall_clock_s": 0.372, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1306,7 +1306,7 @@ "bytes_hbm": 36864, "arith_intensity": 7.111111111111111, "tile_count_expected": 16, - "sim_wall_clock_s": 0.646, + "sim_wall_clock_s": 0.245, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1373,7 +1373,7 @@ "bytes_hbm": 36864, "arith_intensity": 7.111111111111111, "tile_count_expected": 16, - "sim_wall_clock_s": 0.673, + "sim_wall_clock_s": 0.243, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1440,7 +1440,7 @@ "bytes_hbm": 1572864, "arith_intensity": 170.66666666666666, "tile_count_expected": 2048, - "sim_wall_clock_s": 0.727, + "sim_wall_clock_s": 0.357, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1507,7 +1507,7 @@ "bytes_hbm": 1572864, "arith_intensity": 170.66666666666666, "tile_count_expected": 2048, - "sim_wall_clock_s": 0.707, + "sim_wall_clock_s": 0.364, "engines": { "pe_dma": { "occupancy_ns": 16594.192, @@ -1574,7 +1574,7 @@ "bytes_hbm": 1572864, "arith_intensity": 170.66666666666666, "tile_count_expected": 2048, - "sim_wall_clock_s": 0.828, + "sim_wall_clock_s": 0.239, "engines": { "pe_dma": { "occupancy_ns": 16594.192,