The ceiling on every multi-model system is 1 minus your co-failure rate

The ceiling on every multi-model system is 1 minus your co-failure rate

Good morning ๐Ÿ‘‹ A paper this week proves there's a hard ceiling on every multi-model system you'll build โ€” set before you write a single line of routing logic. Most teams haven't measured the thing that determines it.

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๐Ÿ”ญ THE ONE THING

๐Ÿงฑ The ceiling on every multi-model system is 1 minus your co-failure rate

Josef Chen's paper across 67 frontier LLMs from 21 providers establishes a provable ceiling for routing, voting, cascades, and mixture-of-agents systems: accuracy cannot exceed 1 - ฮฒ, where ฮฒ is the co-failure rate, the fraction of queries where every model in your pool fails simultaneously. No routing policy or voting scheme moves that ceiling if your models already fail together. The more actionable finding: co-failure is being badly underestimated. On math tasks, observed beta was 0.052 against a predicted 0.023; code execution landed at 0.079. Measure your co-failure rate before you architect around ensemble gains.


๐Ÿ”ฌ RESEARCH HIGHLIGHTS


๐Ÿ› ๏ธ TRY THIS

Fan out one prompt to multiple agents from one terminal session using herdr

The practical response to co-failure ceilings isn't a smarter model. It's routing the same task to models that fail differently and treating disagreement as the signal. herdr (7.6k GitHub stars) is a terminal-native agent multiplexer: one session, multiple agents running in parallel, output collected where you can actually compare it.

1. Clone the repo and follow the README install steps

2. Write a config that points two or three agents at different models (e.g., Claude Sonnet for one, an open-weight model for another)

3. Run your task through herdr; it fans out and collects responses in one place

4. Check disagreements first. Consensus is cheap; divergence is where the useful signal lives

Prompt: You are the second reviewer. A different model has already answered the question below. Do not default to agreement โ€” find what's missing, overstated, or wrong in that answer. Question: [paste your task here]

๐Ÿ”— QUICK LINKS


Measure before you architect.

Pradeep Perugu

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