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Equation 1 · AI Datacenter Interconnects in Practice: An Advanced Technical Guide

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4.096 μs×2timeout4.096\ \mu s \times 2^{\text{timeout}}

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μ\mu

Symbol mu

mu is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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ss

Symbol s

s is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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multiplication

multiplication

Multiply the quantities on either side.

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superscript

superscript

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

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NCCLAL_ALGO and NCCLPL_PROTO select which collective algorithm and wire protocol a given operation uses; NCCLIL_IBHB_HCA filters which InfiniBand host channel adapters, ports and rails are eligible for a job, in a format that can descend to individual rail and plane; NCCLSL_SOCKETIT_IFNAME performs the equivalent filtering for the out-of-band control interfaces [ 1 ] . On the InfiniBand transport specifically, NCCLIL_IBTB_TIMEOUT sets the retransmission timeout as 4.096\ μ\mu s ×\times 2^{timeout\text{timeout}} , with the library’s own default raised to 20 as of version 2.23, and NCCLIL_IBRB_RETRYCY_CNT defaults to seven retry attempts before a queue pair gives up [ 1 ] — both are tuned upward on fabrics with longer…
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NCCLAL_ALGO and NCCLPL_PROTO select which collective algorithm and wire protocol a given operation uses; NCCLIL_IBHB_HCA filters which InfiniBand host channel adapters, ports and rails are eligible for a job, in a format that can descend to individual rail and plane; NCCLSL_SOCKETIT_IFNAME performs the equivalent filtering for the out-of-band control interfaces [ 1 ] . On the InfiniBand transport specifically, NCCLIL_IBTB_TIMEOUT sets the retransmission timeout as 4.096\ μ\mu s ×\times 2^{timeout\text{timeout}} , with the library’s own default raised to 20 as of version 2.23, and NCCLIL_IBRB_RETRYCY_CNT defaults to seven retry attempts before a queue pair gives up [ 1 ] — both are tuned upward on fabrics with longer queueing or higher loss, and tuned down when a practitioner wants failures to surface quickly rather than be masked by retries. NCCLNL_NETGT_GDRLR_LEVEL governs how aggressively GPUDirect RDMA is used for a given GPU-to-NIC distance, expressed as PCIe topology levels from same-device ( LOC ) out to crossing a NUMA boundary ( SYS ) [ 1 ] , and it interacts directly with GPUDirect RDMA’s own hard requirement that the GPU and the network adapter share a PCIe root complex for the peer-to-peer path to work at all [ 3 ] . A GDR level set too permissively on a server whose GPU and NIC sit behind different root complexes does not fail loudly; it silently falls back to a slower path, and the first symptom an operator sees is a bandwidth number that looks wrong without an accompanying error.

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