ModelSpec is an analysis of alternatives for AI models: it decides which models fit a job from your requirements, sourced benchmarks and real cost, and shows its work.

Maths and reasoning on a budget

Find an active text model for maths and reasoning while keeping one task at or under $0.08.

Worked example as of 2026-09-23, from the public data image.

At most $0.08 a task; maths still ranked.

Requirements

model.class = text-generator: The answer must be generated as text.
model.lifecycle = active: An active model is still supported by its lab or provider.
offering.cost_per_task <= 0.08: The offering must stay within the per-task budget.

Preferences

maths: Prefer stronger maths among offerings inside the budget.
-offering.cost_per_task: Prefer the cheaper task among offerings inside the budget.

Applied template spec

spec_version

where

model.class = text-generator
model.lifecycle = active
offering.cost_per_task <= 0.08

optimize

weights

maths: 0.5
-offering.cost_per_task: 0.5

Worked answer

Decision status: partial.

Tied on the evidence

google/gemini-3-7-flash
deepseek/deepseek-flash
google/gemini-3-8-flash

probability bands: a model joins the leader when P(its score >= the leader's) >= 0.25 under the score posteriors; a weighted capability with an 80% interval wider than 2.8 is not enough evidence

Tie-breakers describe members of the tie. They do not establish a winner.

Cheapest tie-breaker: deepseek/deepseek-flash
Open-weights tie-breaker: deepseek/deepseek-flash
Most independently measured tie-breaker: google/gemini-3-8-flash

This is a partial answer. Unknown facts or missing objective evidence can leave eligible candidates unranked.

probability bands: a model joins the leader when P(its score >= the leader's) >= 0.25 under the score posteriors; a weighted capability with an 80% interval wider than 2.8 is not enough evidence

Score and score interval use the objective's dimensionless normalised units. Cost per task is for the engine-selected offering and the applied spec's task size. When task size is omitted, the engine uses its documented default. P(best) is the engine probability. Unavailable means the engine did not return a value. Thin evidence is undetermined and is not a recommendation.

Best band

Model	Score	Score interval	P(best)	Cost per task, USD	Capability estimates and intervals
`google/gemini-3-7-flash`	0.712712	[0.299602, 1.125822]	0.2265625	0.045	maths: -0.018394566; interval [-0.971933015, 0.935143883]; benchmarks 3; direct benchmarks 1
`deepseek/deepseek-flash`	0.648332	[0.228226, 1.068438]	0.16796875	0.0168	maths: -0.739981184; interval [-1.709667059, 0.22970469]; benchmarks 3; direct benchmarks 1
`google/gemini-3-8-flash`	0.522469	[0.219187, 0.82575]	0.0546875	0.045	maths: -0.457512924; interval [-1.157546025, 0.242520177]; benchmarks 5; direct benchmarks 2

Rest band

Model	Score	Score interval	P(best)	Cost per task, USD	Capability estimates and intervals
`zhipu/glm-5-3`	0.400946	[-0.009213, 0.811106]	0.01953125	0.0736	maths: -0.156897477; interval [-1.103624192, 0.789829238]; benchmarks 3; direct benchmarks 1
`meta/muse-spark-1-3`	0.374888	[-0.027177, 0.776954]	0.03515625	0.067	maths: -0.351147097; interval [-1.279192008, 0.576897813]; benchmarks 3; direct benchmarks 1
`deepseek/deepseek-v4-pro`	0.193795	[-0.126187, 0.513777]	0.0	0.06864	maths: -0.735823404; interval [-1.474402989, 0.00275618]; benchmarks 4; direct benchmarks 2
`zhipu/glm-5-2`	0.0	[-0.319758, 0.319758]	0.0	0.0736	maths: -1.082359497; interval [-1.820422979, -0.344296015]; benchmarks 4; direct benchmarks 2

Thin evidence: undetermined

Model	Score	Score interval	P(best)	Cost per task, USD	Capability estimates and intervals
`google/gemini-2-5-flash`	0.640771	[-0.007354, 1.288896]	0.25390625	0.022	maths: -0.651775501; interval [-2.147773284, 0.844222281]; benchmarks 3; direct benchmarks 0
`meta/muse-spark-1-1`	0.558099	[-0.308731, 1.424928]	0.2421875	0.067	maths: 0.07173741; interval [-1.929073517, 2.072548336]; benchmarks 1; direct benchmarks 0

Unknown requirements

Some candidates may qualify. Missing facts:

offering.cost_per_task

Engine warnings

not_separable

Decision dec_9bc6d57a565f250162eba662 on public snapshot snap_05a963d2477ac2fb.

What this template teaches

The budget is a Must; inside it, cost and maths share the ranking equally.

The live board uses current data. Its answer can change as evidence changes.

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