The GlomaxGPT Think series Model Family

Unlike standard GPT models that generate responses token-by-token, GlomaxGPT Think series models first produce a hidden "thinking" process — a chain of reasoning steps — before generating the final answer. This internal scratchpad is where the model plans, checks its work, and backtracks when it makes errors.

En Güçlü

glomaxgpt-think

GlomaxGPT's most powerful reasoning model. Sets state-of-the-art on competitive math (AIME), graduate-level science (GPQA), and competitive coding (Codeforces). Use when accuracy is paramount and latency is secondary.

Input $2.00 / 1M tokens
Output $8.00 / 1M tokens
Reasoning $8.00 / 1M tokens
Context 200K tokens
Efficient

glomaxgpt-think-mini

Fast and cost-efficient reasoning model. Surprisingly close to glomaxgpt-think on many benchmarks, particularly coding. Best for high-volume reasoning workloads where cost per request matters.

Input $1.10 / 1M tokens
Output $4.40 / 1M tokens
Reasoning $4.40 / 1M tokens
Context 200K tokens
Tool Support: Both glomaxgpt-think and glomaxgpt-think-mini support the full suite of tools available in the Responses API — web search, file search, code interpreter, function calling, and image input. Reasoning models with tools unlock powerful agentic workflows.

When to Use Reasoning Models

Reasoning models excel at tasks that require multi-step thinking, verification, and self-correction. They are not always the right tool — for many tasks, GlomaxGPT Pro is faster and cheaper with comparable quality.

Use glomaxgpt-think / glomaxgpt-think-mini when...
  • Solving multi-step math or physics problems
  • Writing or debugging complex algorithms
  • Analyzing research papers or technical documents
  • Competitive programming problems (LeetCode Hard, Codeforces)
  • Planning and strategy tasks with many constraints
  • Scientific reasoning and hypothesis evaluation
  • Tasks where GlomaxGPT Pro makes repeated mistakes
  • Code generation requiring correctness guarantees
Stick with GlomaxGPT Pro when...
  • Writing assistance, summarization, translation
  • Simple Q&A and factual lookups
  • Creative content generation
  • Conversational interfaces with low latency requirements
  • Tasks needing a very long context window (1M+ tokens)
  • High-volume, cost-sensitive batch processing
  • When real-time streaming output is important
  • Simple function calling and tool use workflows

Reasoning Effort

You can control how much time and tokens the model spends reasoning with the reasoning_effort parameter. More effort means more reasoning tokens, higher accuracy, more cost, and longer latency.

low

Low Effort

Minimal reasoning tokens. Fast responses, lower cost. Use for simpler tasks or when you want the model's "quick take" without deep deliberation.

  • ~100–500 reasoning tokens
  • Fastest responses
  • Best for simple problems
medium (default)

Medium Effort

Balanced reasoning depth. The default for most use cases. Provides strong performance on most tasks without excessive cost or latency.

  • ~1,000–5,000 reasoning tokens
  • Balanced cost/quality
  • Good for most tasks
high

High Effort

Maximum reasoning depth. Spends the most tokens thinking through the problem. Use for the hardest problems where accuracy is critical.

  • ~5,000–30,000+ reasoning tokens
  • Highest accuracy
  • Best for hard problems
python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

# Low effort — fast, for simpler tasks
response_low = client.responses.create(
    model="glomaxgpt-think-mini",
    reasoning={"effort": "low"},
    input="What is 15% of 240?"
)
print(response_low.output_text)

# Medium effort — default, balanced
response_medium = client.responses.create(
    model="glomaxgpt-think",
    reasoning={"effort": "medium"},
    input="Prove that the square root of 2 is irrational."
)
print(response_medium.output_text)

# High effort — for the hardest problems
response_high = client.responses.create(
    model="glomaxgpt-think",
    reasoning={"effort": "high"},
    input="""Implement a solution to the following competitive programming problem:
    
Given an array of n integers, find the length of the longest subsequence 
such that the difference between consecutive elements is either +1 or -1.
The subsequence does not need to be contiguous.

Provide a solution with O(n) time complexity if possible.
Include proof of correctness and complexity analysis."""
)
print(response_high.output_text)

# Inspect reasoning token usage
print(f"Reasoning tokens: {response_high.usage.output_tokens_details.reasoning_tokens}")
print(f"Output tokens: {response_high.usage.output_tokens}")
print(f"Total tokens: {response_high.usage.total_tokens}")
javascript
import GlomaxGPT from "GlomaxGPT";

const client = new GlomaxGPT();

// Medium effort (default)
const response = await client.responses.create({
  model: "glomaxgpt-think",
  reasoning: { effort: "medium" },
  input: "Prove that the square root of 2 is irrational.",
});

console.log(response.output_text);
console.log(`Reasoning tokens: ${response.usage.output_tokens_details.reasoning_tokens}`);

// High effort for a hard problem
const hardProblem = await client.responses.create({
  model: "glomaxgpt-think",
  reasoning: { effort: "high" },
  input: "Solve: Find all integer solutions to x^3 + y^3 = z^3 + w^3 where 1 ≤ x, y, z, w ≤ 1000.",
});

console.log(hardProblem.output_text);

Reasoning Tokens

Reasoning tokens are the internal "scratchpad" tokens the model generates before producing its final response. They are billed but not included in the output — you cannot read the model's thinking process directly.

Important: Reasoning tokens count toward your usage costs and the model's context window. A response with 10,000 reasoning tokens plus 500 output tokens costs as if the output was 10,500 tokens. Always monitor usage.output_tokens_details.reasoning_tokens to understand your costs.
python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

response = client.responses.create(
    model="glomaxgpt-think",
    reasoning={"effort": "high"},
    input="What is the 100th prime number? Show your work step by step."
)

# Token breakdown
usage = response.usage
print(f"Input tokens:      {usage.input_tokens:,}")
print(f"Output tokens:     {usage.output_tokens:,}")
print(f"  - Reasoning:     {usage.output_tokens_details.reasoning_tokens:,}")
print(f"  - Visible:       {usage.output_tokens - usage.output_tokens_details.reasoning_tokens:,}")
print(f"Total tokens:      {usage.total_tokens:,}")
print()
print("Answer:")
print(response.output_text)

# You can also set a maximum token budget for reasoning
response_budgeted = client.responses.create(
    model="glomaxgpt-think",
    reasoning={
        "effort": "high",
        "max_reasoning_tokens": 5000  # Cap reasoning at 5K tokens
    },
    input="Analyze the time complexity of quicksort in the average and worst case."
)

Reasoning Models vs GlomaxGPT Pro vs GlomaxGPT Ultra

Understanding when to use each model family is critical for building efficient, cost-effective applications.

Dimension glomaxgpt-think / glomaxgpt-think-mini GlomaxGPT Pro GlomaxGPT Ultra
Architecture Reasoning model with internal chain-of-thought Standard autoregressive transformer Next-gen multimodal, real-time world model
Strengths Math, code, science, logic puzzles Speed, instruction following, long context, creativity Real-world perception, video understanding, embodied AI
Context Window 200K tokens 1M+ tokens 1M+ tokens
Latency Higher (thinks before answering) Lower (fast token streaming) Optimized for real-time interactions
Cost Higher per token (reasoning tokens) Lower per token Variable (multimodal inputs)
Streaming Limited (output streamed, reasoning hidden) Full token streaming Realtime streaming
Best For Hard, verifiable problems requiring deep thought General-purpose, conversational, creative, agents Video analysis, real-time perception, robotics
Hybrid Approach: Many production systems use both model families. Use GlomaxGPT Pro for triage, conversation management, and simple tasks; delegate only the hard sub-problems to glomaxgpt-think or glomaxgpt-think-mini. This optimizes both cost and quality.

Math Examples

Reasoning models dramatically outperform standard models on mathematical tasks, especially those requiring multi-step derivations, proofs, and numerical computation.

python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

response = client.responses.create(
    model="glomaxgpt-think-mini",
    reasoning={"effort": "medium"},
    input="""Solve the following system of equations:

2x + 3y - z = 7
x - y + 2z = -1  
3x + 2y + z = 12

Show all steps including elimination, substitution, and verification."""
)

print(response.output_text)
# The model will work through elimination step by step,
# verify the solution, and present x=2, y=1, z=0
python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

response = client.responses.create(
    model="glomaxgpt-think",
    reasoning={"effort": "high"},
    input="""Prove by induction that for all positive integers n:

    1² + 2² + 3² + ... + n² = n(n+1)(2n+1)/6

Write a complete, rigorous proof including:
1. Base case
2. Inductive hypothesis
3. Inductive step with algebraic manipulation
4. Conclusion"""
)

print(response.output_text)
python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

response = client.responses.create(
    model="glomaxgpt-think",
    reasoning={"effort": "high"},
    input="""A company produces two products, A and B.
- Product A requires 2 hours of labor and 1 kg of material; profit = $40
- Product B requires 1 hour of labor and 3 kg of material; profit = $30
- Available: 100 hours of labor, 150 kg of material

Formulate and solve this as a linear programming problem.
Find the optimal production quantities to maximize profit.
Include the feasible region analysis and corner point method."""
)

print(response.output_text)

Coding Examples

glomaxgpt-think and glomaxgpt-think-mini excel at generating correct, well-optimized code for algorithmic problems, especially when correctness is critical.

python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

response = client.responses.create(
    model="glomaxgpt-think-mini",
    reasoning={"effort": "high"},
    input="""Implement an efficient solution for the Longest Common Subsequence (LCS) problem.

Requirements:
1. Function signature: def lcs(s1: str, s2: str) -> str
2. Time complexity: O(m*n) where m, n are string lengths
3. Space complexity: O(m*n) for the DP table
4. Return the actual subsequence, not just its length
5. Include comprehensive test cases covering edge cases
6. Add complexity analysis comments

Also provide an O(m*n) space-optimized version using only two rows."""
)

print(response.output_text)
python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

buggy_code = """
def find_duplicates(nums):
    seen = set()
    duplicates = []
    for i in range(len(nums)):
        for j in range(i, len(nums)):  # Bug here
            if nums[i] == nums[j]:
                duplicates.append(nums[i])
    return list(set(duplicates))

# Expected: find_duplicates([1,3,4,2,2]) == [2]
# Actual: returns [1, 2, 3, 4]
print(find_duplicates([1, 3, 4, 2, 2]))
"""

response = client.responses.create(
    model="glomaxgpt-think-mini",
    reasoning={"effort": "medium"},
    input=f"""Find and fix all bugs in this Python function. Explain each bug clearly.

```python
{buggy_code}
```

Provide:
1. List of all bugs found with explanations
2. Fixed version with comments
3. Test cases that would catch these bugs"""
)

print(response.output_text)
python
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

code_to_review = """
class UserCache:
    def __init__(self):
        self.cache = {}
    
    def get_user(self, user_id):
        if user_id not in self.cache:
            self.cache[user_id] = self._fetch_from_db(user_id)
        return self.cache[user_id]
    
    def _fetch_from_db(self, user_id):
        # Simulate DB query
        return {"id": user_id, "name": "User " + str(user_id)}
    
    def invalidate(self, user_id):
        del self.cache[user_id]
"""

response = client.responses.create(
    model="glomaxgpt-think",
    reasoning={"effort": "medium"},
    input=f"""Review this Python class for correctness, performance, and production readiness.

```python
{code_to_review}
```

Analyze:
1. Thread safety issues
2. Memory leak risks
3. Missing error handling
4. Performance concerns
5. Cache invalidation edge cases

Provide a production-ready rewrite addressing all issues."""
)

print(response.output_text)

En İyi Uygulamalar

1

Let the model reason — don't over-constrain

Don't tell GlomaxGPT Think series models to "think step by step" or provide reasoning frameworks. They do this internally. Over-prompting reasoning models with chains-of-thought instructions can actually hurt performance. State the problem clearly and let the model reason.

2

Use high effort for hard problems only

Reasoning tokens are expensive. Use effort: "low" or "medium" for most tasks. Only use "high" for the genuinely hard problems that require extensive deliberation — competitive math, complex proofs, or intricate debugging.

3

Provide complete context in a single prompt

Reasoning models work best when given all relevant information upfront. Unlike chat models that benefit from back-and-forth clarification, reasoning models perform better with a single comprehensive prompt that includes all constraints, examples, and requirements.

4

Verify outputs for high-stakes tasks

Even reasoning models make mistakes on very hard problems. For critical applications (financial calculations, medical dosing, legal analysis), always verify model outputs independently. Use structured output to make verification easier.

python
from pydantic import BaseModel
from GlomaxGPT import GlomaxGPT

client = GlomaxGPT()

class MathSolution(BaseModel):
    answer: float
    steps: list[str]
    confidence: str  # "certain", "likely", "uncertain"
    verification: str

response = client.responses.parse(
    model="glomaxgpt-think",
    reasoning={"effort": "high"},
    input="Solve: Find x such that 2^x = 100. Give the answer to 4 decimal places.",
    text_format=MathSolution
)

solution = response.output_parsed
print(f"Answer: {solution.answer}")
print(f"Confidence: {solution.confidence}")
print(f"Verification: {solution.verification}")
5

Monitor and cap reasoning token spend

Use max_reasoning_tokens to prevent unexpectedly large reasoning token usage on production workloads. Log usage.output_tokens_details.reasoning_tokens in your observability pipeline to track costs per request type.

Quick Decision Guide: Start with glomaxgpt-think-mini at medium effort. If quality is insufficient, try glomaxgpt-think at medium. If still insufficient, try glomaxgpt-think at high. If the problem is not math/science/code, switch back to GlomaxGPT Pro — reasoning models aren't universally better.