Models
Price comparison

FrontierMath Tiers 1-3 v2 (Epoch AI)

91 models with a score. Leader: GPT-6 astra with 93.7 %.

Benchmark profile
Taskallgemein - Mathematik bis Forschungsniveau
MetricAnteil geloester Aufgaben, bester Wert ueber die Bewerter
Direction↑ higher is better
LimitationFuer die Anreicherung das fernste Signal. Stark reasoning-abhaengig; GPT-5.4 und DeepSeek V4 Pro sind nur mit xhigh/max gemessen. Aufgaben nicht oeffentlich - nicht nachpruefbar, aber auch nicht kontaminiert.
As of15 Sept 2026
Sourceepoch.ai
LicenceCC BY 4.0 — Epoch AI

Ranking (91)

ModelRankScoreDeveloperEU processing: InputEU inEU processing: OutputEU outall providers: Inputall inall providers: Outputall outOpen weightsGPU memory (4-bit, derived)GPU memory
GPT-6 astra193.7 %OpenAI€9.68€48.40€4.48€22.39– no–
GPT-6.1 Sol193.7 %OpenAI€2.14€10.68€0.90€4.48– no–
Claude Opus 5.5391.2 %Anthropic€3.92€19.58€1.79€8.96– no–
GPT-6.1 Terra490.9 %OpenAI€1.06€5.28€0.45€2.24––
Claude Fable 5.1590.2 %Anthropic€9.90€49.50€4.48€22.39– no–
GPT-6 sol689.8 %OpenAI€2.15€10.75€0.90€4.48– no–
GPT-5.6 sol789.1 %OpenAI€3.94€19.70€1.79€8.96– no–
Sonnet 5.5888.8 %Anthropic€2.02€10.10€0.90€4.48– no–
GPT-5.5 Pro987.7 %OpenAI––€13.43€80.61– no–
Fable 51087 %Anthropic––€4.48€22.39– no–
Gemini 4 Argon1186 %Google€2.02€10.10€0.90€4.48– no–
GPT-5.6 terra1186 %OpenAI€1.97€11.82€0.90€5.37– no–
Opus 51385.6 %Anthropic€4.94€24.68€2.24€11.20– no–
GPT-5.51485.3 %OpenAI€4.93€29.56€2.24€13.43– no–
GPT-5.4 Pro1582.5 %OpenAI––€13.43€80.61– no–
GPT-5.6 luna1682.1 %OpenAI€0.20€1.18€0.09€0.54– no–
Muse Wonder1682.1 %–––€3.58€17.91– no–
Opus 4.81880 %Anthropic€4.88€24.40€2.24€11.20– no–
GPT-6 luna1978.9 %OpenAI€0.11€0.54€0.045€0.22– no–
GPT-5.42078.6 %OpenAI€2.60€13.87€1.12€6.72– no–
Kimi K3.1 Pro2178.2 %Moonshot AI€1.79€8.96€1.79€8.96– no–
Haiku 5.52275.1 %Anthropic€0.10€0.51€0.045€0.22– no–
Qwen3.8-Max2374.7 %Alibaba Cloud€2.24€5.39€1.48€4.43✓ yesfrom 1,350 GB
gpt-5.2-pro2474 %OpenAI––€9.40€75.24– no–
Kimi K32572.2 %Moonshot AI€2.55€12.76€1.66€8.51✓ yesfrom 1,533 GB
Gemini 3.7 Flash2671.6 %Google€0.67€3.37€0.34€1.68– no–
DeepSeek V4.1 Flash 10172771.2 %DeepSeek€0.18€0.54€0.18€0.54– no–
Opus 4.72870.2 %Anthropic€4.88€24.40€2.24€11.20– no–
Muse Spark Open2969.8 %–––€1.12€3.81––
glm-5.33068.8 %Z.ai€0.45€1.79€0.18€0.57✓ yesfrom 419 GB
Gemini 3.8 Flash3168.4 %Google€0.74€3.68€0.34€1.68– no–
GPT-5.23267.4 %OpenAI€1.72€13.79€0.78€6.27– no–
Grok 4.63366 %xAI––€1.79€5.37– no–
Opus 4.63366 %Anthropic€4.77€23.84€2.24€11.20– no–
Claude Sonnet 53565.6 %Anthropic€1.98€9.87€0.90€4.48– no–
DeepSeek V4 Pro 08133664.6 %DeepSeek€1.79€3.58€1.16€2.33✓ yesfrom 912 GB
Qwen 3.7 Max3664.6 %Alibaba Cloud––€1.12€3.36– no–
Gemini 3.5 Flash3862.8 %Google€1.48€8.89€0.67€4.03– no–
Gemini 3.1 Pro (Vorschau)3959.6 %Google––€0.90€5.37– no–
glm-5.24059.2 %Z.ai€0.81€2.91€0.15€0.48✓ yesfrom 419 GB
Gemini 3.6 Flash4158.9 %Google€0.67€3.37€0.34€1.68– no–
DeepSeek V4 Flash 07314257.5 %DeepSeek€0.10€0.25€0.054€0.16✓ yesfrom 172 GB
Grok 4.54357.2 %xAI––€1.79€5.37– no–
Kimi K2.64357.2 %Moonshot AI€0.43€2.67€0.35€1.61✓ yesfrom 569 GB
GLM 5.3 Flash4555.8 %Z.ai€0.09€0.31€0.09€0.31✓ yesfrom 180 GB
GPT-5 Pro4555.8 %OpenAI––€6.72€53.74– no–
gpt-54755.4 %OpenAI€0.62€4.93€0.56€4.48– no–
GPT-5 2025-08-074755.4 %OpenAI––€0.56€4.48– no–
Kimi K2.7 Code4954 %Moonshot AI€0.59€2.96€0.59€2.96✓ yesfrom 554 GB
Grok 4.75053 %xAI––€1.79€5.37– no–
Gemini 3 Flash Preview5151.2 %Google––€0.22€1.34– no–
GPT-5 mini5246.7 %OpenAI€0.25€1.97€0.11€0.90– no–
DeepSeek V4 Pro5345.3 %DeepSeek€0.90€1.79€0.90€1.79✓ yesfrom 884 GB
Grok 4.205444.9 %xAI––€1.27€2.53– no–
Grok 4.20 Reasoning5444.9 %xAI––€1.12€2.24– no–
grok-4.20-0309-reasoning5444.9 %xAI––€1.12€2.24– no–
Grok 4.35742.8 %xAI––€1.12€2.24– no–
Qwen 3.6 Plus5838.2 %Alibaba Cloud––€0.45€2.69– no–
GLM 5.15936.8 %Z.ai€1.24€3.90€0.81€2.60✓ yesfrom 419 GB
o4-mini 2025-04-166036.1 %OpenAI€0.54€2.17€0.49€1.97– no–
Qwen3.6-27B6135.09 %Alibaba Cloud€0.40€2.70€0.22€1.79✓ yesfrom 20 GB
Opus 4.56234.4 %Anthropic€4.77€23.85€2.24€11.20– no–
Qwen3.7-Plus6334.39 %Alibaba Cloud––€0.29€1.15– no–
o36433.3 %OpenAI––€0.90€3.58– no–
o3 2025-04-166433.3 %OpenAI€0.99€3.94€0.90€3.58– no–
Qwen3.5-397B-A17B6631.2 %Alibaba Cloud€0.60€3.58€0.40€2.69✓ yesfrom 226 GB
Gemini 3.5 Flash-Lite6726 %Google€0.30€2.47€0.13€1.12– no–
Gemini 2.5 Pro6824.6 %Google€1.34€8.94€0.56€4.48– no–
GPT-5.4 mini6924.56 %OpenAI€0.74€4.43€0.34€2.02– no–
Sonnet 4.57023.9 %Anthropic€2.68€13.42€1.34€6.72– no–
Gemini 3.1 Flash-Lite7121.4 %Google€0.24€1.46€0.11€0.67– no–
Qwen3.6-35B-A3B7220.4 %Alibaba Cloud€0.13€0.45€0.13€0.45✓ yesfrom 24 GB
GPT-5.4 nano7320.35 %OpenAI––€0.09€0.56– no–
GPT-5 nano7420 %OpenAI€0.049€0.39€0.022€0.18– no–
Qwen3-Max7518.95 %Alibaba Cloud––––– no–
o3 mini 2025-01-317618.6 %OpenAI€0.54€2.17€0.49€1.97– no–
Qwen3.5-Flash7718.25 %Alibaba Cloud––––– no–
GLM-57816.4 %Z.ai€1.15€3.68€0.45€1.43––
o1 2024-12-177914.7 %OpenAI€14.78€59.11€13.43€53.74– no–
Claude Opus 4.1 (retired, except on Claude Models on Google Cloud (Google managed) and Bedrock)8012.6 %Anthropic––€6.72€33.59– no–
gpt-4.1-mini816.7 %OpenAI€0.39€1.53€0.18€0.72– no–
GPT-4.1-mini-2025-04-14816.7 %OpenAI€0.20€0.79€0.18€0.72– no–
GPT-4.1836 %OpenAI€1.97€7.87€0.90€3.58– no–
GPT-4.1-2025-04-14836 %OpenAI€0.99€3.94€0.90€3.58– no–
Claude Haiku 4.5855.9 %Anthropic€0.89€4.47€0.45€2.24– no–
GPT-4o mini860.7 %OpenAI€0.14€0.57€0.067€0.27– no–
GPT-4o-mini-0718860.7 %OpenAI€0.15€0.59€0.067€0.27– no–
GPT-4o880.4 %OpenAI€2.39€9.55€1.12€4.48– no–
GPT-4o-2024-08-06880.4 %OpenAI€1.23€4.93€1.12€4.48– no–
Mistral Large 2.1900.34 %Mistral AI––––✓ yesfrom 72 GB
GPT-3.5-Turbo-0125910 %OpenAI––€0.54€1.63– no–

Equal scores share a rank. When filtering, the rank stays the position in the whole list. GPU memory “from …” is a lower bound (parameters × 0.55 GB + 4 GB). Prices: € per 1M tokens. Source: providers' pricing pages, read and checked by searchit. As of 7 Nov 2026.

Price and performance

0 % 25 % 50 % 75 % 100 % €0.01 €0.10 €1.00 €10.00 €100.00 Blended price of the cheapest offer, € per 1M tokens (log scale) GPT-6 astra · €8.96 · 93.7 % GPT-6.1 Sol · €1.79 · 93.7 % Claude Opus 5.5 · €3.58 · 91.2 % GPT-6.1 Terra · €0.90 · 90.9 % Claude Fable 5.1 · €8.96 · 90.2 % GPT-6 sol · €1.79 · 89.8 % GPT-5.6 sol · €3.58 · 89.1 % Sonnet 5.5 · €1.79 · 88.8 % GPT-5.5 Pro · €30.23 · 87.7 % Fable 5 · €8.96 · 87 % Gemini 4 Argon · €1.79 · 86 % GPT-5.6 terra · €2.02 · 86 % Opus 5 · €4.48 · 85.6 % GPT-5.5 · €5.04 · 85.3 % GPT-5.4 Pro · €30.23 · 82.5 % GPT-5.6 luna · €0.20 · 82.1 % Muse Wonder · €7.17 · 82.1 % Opus 4.8 · €4.48 · 80 % GPT-6 luna · €0.09 · 78.9 % GPT-5.4 · €2.52 · 78.6 % Kimi K3.1 Pro · €3.58 · 78.2 % Haiku 5.5 · €0.09 · 75.1 % Qwen3.8-Max · €2.22 · 74.7 % gpt-5.2-pro · €25.86 · 74 % Kimi K3 · €3.37 · 72.2 % Gemini 3.7 Flash · €0.67 · 71.6 % DeepSeek V4.1 Flash 1017 · €0.27 · 71.2 % Opus 4.7 · €4.48 · 70.2 % Muse Spark Open · €1.79 · 69.8 % glm-5.3 · €0.28 · 68.8 % Gemini 3.8 Flash · €0.67 · 68.4 % GPT-5.2 · €2.16 · 67.4 % Grok 4.6 · €2.69 · 66 % Opus 4.6 · €4.48 · 66 % Claude Sonnet 5 · €1.79 · 65.6 % DeepSeek V4 Pro 0813 · €1.46 · 64.6 % Qwen 3.7 Max · €1.68 · 64.6 % Gemini 3.5 Flash · €1.51 · 62.8 % Gemini 3.1 Pro (Vorschau) · €2.02 · 59.6 % glm-5.2 · €0.24 · 59.2 % Gemini 3.6 Flash · €0.67 · 58.9 % DeepSeek V4 Flash 0731 · €0.081 · 57.5 % Grok 4.5 · €2.69 · 57.2 % Kimi K2.6 · €0.67 · 57.2 % GLM 5.3 Flash · €0.15 · 55.8 % GPT-5 Pro · €18.47 · 55.8 % gpt-5 · €1.54 · 55.4 % GPT-5 2025-08-07 · €1.54 · 55.4 % Kimi K2.7 Code · €1.18 · 54 % Grok 4.7 · €2.69 · 53 % Gemini 3 Flash Preview · €0.50 · 51.2 % GPT-5 mini · €0.31 · 46.7 % DeepSeek V4 Pro · €1.12 · 45.3 % Grok 4.20 · €1.59 · 44.9 % Grok 4.20 Reasoning · €1.40 · 44.9 % grok-4.20-0309-reasoning · €1.40 · 44.9 % Grok 4.3 · €1.40 · 42.8 % Qwen 3.6 Plus · €1.01 · 38.2 % GLM 5.1 · €1.25 · 36.8 % o4-mini 2025-04-16 · €0.86 · 36.1 % Qwen3.6-27B · €0.62 · 35.09 % Opus 4.5 · €4.48 · 34.4 % Qwen3.7-Plus · €0.50 · 34.39 % o3 · €1.57 · 33.3 % o3 2025-04-16 · €1.57 · 33.3 % Qwen3.5-397B-A17B · €0.97 · 31.2 % Gemini 3.5 Flash-Lite · €0.38 · 26 % Gemini 2.5 Pro · €1.54 · 24.6 % GPT-5.4 mini · €0.76 · 24.56 % Sonnet 4.5 · €2.69 · 23.9 % Gemini 3.1 Flash-Lite · €0.25 · 21.4 % Qwen3.6-35B-A3B · €0.21 · 20.4 % GPT-5.4 nano · €0.21 · 20.35 % GPT-5 nano · €0.062 · 20 % o3 mini 2025-01-31 · €0.86 · 18.6 % GLM-5 · €0.69 · 16.4 % o1 2024-12-17 · €23.51 · 14.7 % Claude Opus 4.1 (retired, except on Claude Models on Google Cloud (Google managed) and Bedrock) · €13.43 · 12.6 % gpt-4.1-mini · €0.31 · 6.7 % GPT-4.1-mini-2025-04-14 · €0.31 · 6.7 % GPT-4.1 · €1.57 · 6 % GPT-4.1-2025-04-14 · €1.57 · 6 % Claude Haiku 4.5 · €0.90 · 5.9 % GPT-4o mini · €0.12 · 0.7 % GPT-4o-mini-0718 · €0.12 · 0.7 % GPT-4o · €1.96 · 0.4 % GPT-4o-2024-08-06 · €1.96 · 0.4 % GPT-3.5-Turbo-0125 · €0.81 · 0 %
88 models with a price: vertical the score (top = better), horizontal the blended price of the cheapest offer. Filled dots are also available with processing in the EU.

Scores: FrontierMath Tiers 1-3 v2 (Epoch AI), CC BY 4.0 — Epoch AI. Taken unchanged from the source.