Kaer-R1 vs GPT-5: cost per solved task on hard reasoning

A like-for-like comparison of a 7B open-weight reasoner against a frontier closed model: cost per solved task, abstention, latency and what each is actually for. With the protocol attached.

Hands in gilded armour working at a modern keyboard

Short answer: GPT-5 is more capable across more tasks. Kaer-R1 is roughly eleven times cheaper per solved task on hard reasoning, runs on your own hardware, and tells you when it is out of its depth. Those are different products, and the comparison only becomes useful once you say which problem you are solving.

This page exists because "which model is best" is the most-asked and least-answerable question in applied machine learning. Below is the version of it we can actually answer: for a defined workload, with a stated protocol, what does each system cost per correct answer, and how does each fail.

What each model is for

GPT-5 is a frontier general-purpose model. It is optimised for breadth — long context, tool use, multimodality, code, open-ended assistance — and it is served exclusively through an API. Kaer-R1 is a 7B dense open-weight reasoner with a learned halting head, optimised for one narrow thing: deciding, per question, how much deliberation a question deserves, and stopping when more thinking will not help.

Neither of those descriptions is a criticism of the other. A lab with our budget cannot build a frontier general model and should not pretend otherwise. What a small lab can do is take one axis seriously enough to move it.

Head to head

 Kaer-R1 7BGPT-5 class
WeightsOpen, staged accessClosed, API only
Self-hostableYes — single GPUNo
Built forReliable reasoning at low costGeneral capability, breadth
Compute allocationAdaptive — learned per questionFixed or operator-set
Hard-reasoning suite (ours, Aug 2026)61.4%Higher — frontier class leads this suite
Cost / 1k suite items (measured)£3.10Frontier list pricing, ~10–15× higher
Abstention signalBuilt in (AUROC 0.83 in-distribution)Verbalised confidence only
Evaluation cardPublished, incl. failed variantsVendor system card
Data residencyYour infrastructureVendor infrastructure

How to read the numbers. Figures for Kaer models are our own, from the runs described in R-09. Figures for third-party models are (a) published list prices and published specifications, or (b) our own measurements under the Ordinary Tuesday and paraphrase protocols, labelled as such with the run date. They are not vendor-supplied and no vendor has reviewed them. Public Atlas releases blind model identities by class; where we name a model here we are naming the class it sits in, and the raw traces are available to institutional subscribers who want to replay the arithmetic.

Why cost per solved task is the honest metric

Benchmark tables almost always report accuracy and almost never report what the accuracy cost. This is how a model that samples sixty-four times and takes a majority vote ends up in the same column as a model that answered once. On our suite, Kaer-R1 with sixteen-sample voting scores 63.2% — better than its own single-pass 61.4% — at £236 per thousand items instead of £3.10. Same model, same weights, seventy-six times the bill, under two points of gain.

Frontier models are not exempt from this arithmetic; they are subject to a harsher version of it, because their per-token price is higher to begin with. The question a deploying team should ask is not "which model scores highest" but "at my volume, what does one additional correct answer cost me, and can I afford the tail".

Where the small model actually wins: knowing it is lost

The result from R-09 that we did not expect is the one that matters most in production. Kaer-R1's halting head has to estimate whether further deliberation will change the answer. A model that is lost cannot be helped by more thinking — so the same signal separates "I have this" from "I am out of my depth", before the answer is generated.

Used as an abstention score it reaches AUROC 0.83 in-distribution. Routing the bottom decile of traffic to a human or a larger model removes 41% of remaining errors while touching a tenth of the volume. For any service with a fallback path, that number is worth more than the capability gap, because it converts an unknown error rate into a budgeted one.

Frontier models express confidence in words, and the calibration literature is consistent that preference-tuned models are fluent in the register of confidence beyond its warrant. A verbalised "I'm fairly sure" is not a routable signal. A scalar you can threshold is.

Where Kaer-R1 loses, plainly

The decision, in one table

If your constraint is…Choose
Widest capability, fastest to shipFrontier API model
Cost at volume on bounded reasoning tasksKaer-R1, with routing
Data cannot leave your infrastructureOpen weights — Kaer-R1 or another
You must show a regulator how it decidedOpen weights, published eval card
You need a fallback path that fires reliablyKaer-R1's abstention signal
Open-ended assistance for the publicFrontier model, hardened

In most deployments we have instrumented the answer is both: a cheap abstention-aware model on the head of the distribution and a frontier model on the tail it flags. The routing threshold is the real design decision, and it is measurable on your own traffic in an afternoon. The £40 behavioural read is the cheapest way we know to find it.

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Common
questions

Is Kaer-R1 better than GPT-5?

No, and we would not claim it. On raw capability across the widest range of tasks, a frontier model of GPT-5's class wins, and wins clearly. Kaer-R1 is a 7B open-weight reasoner; it competes on cost per solved task, on abstention quality, and on being inspectable — not on breadth.

What is cost per solved task, and why use it instead of accuracy?

Cost per solved task divides what you actually paid by the number of items the model got right. Accuracy alone hides the fact that one model reached 70% with a single pass and another reached 72% by sampling sixteen times. If you are budgeting a production service, the ratio is the number that survives contact with your finance team.

Can I self-host Kaer-R1?

Yes. That is most of the point. Weights, the halting head and the evaluation card are released under staged access, and a 7B dense model serves comfortably on a single modern GPU. GPT-5 is API-only, which is the right choice for many teams and a non-starter for anyone with data that cannot leave the building.

Which should a public-service deployment choose?

Usually a frontier model for the hard tail and something small and abstention-aware for the head of the distribution — routed, not chosen. Our own recommendation to partners is to measure the split on their real traffic first; in the deployments we have instrumented, 60 to 80% of volume never needed the expensive model at all.