In this training, we used another base and improved it's reasoning. It's base, Qwen 3.5 4B was great, but overthought most of the requests und looped. Nomi 2 fixes that. Even at more complicated prompts it only thinks for about 10 sec on consumer hardware (~500 Reasoning tokens).

Nomi 2 works by using one specific reasoning style: Instead of human like CoT, Nomi uses what I like to call RASV. In it's reasoning, it got 4 main parts:

Restatement
Approach
Step-by-step derivation
Verification

These steps help the LLM to keep the reasoning short, while keeping it effective, and avoiding loops.

🌟 Key Features & Improvements

Architecture: Qwen-3.5-4B (runs on 8 GB VRAM GPUs like the RTX 4060).
Multilingual Support: Can understand and generate text in German and English and many other languages.
Efficiency: Runs with 60+ Tokens/s at Q4 with an Context Window of almost 100k tokens on consumer hardware.

📃 Evals and Showcase

Evals

Model Name	GSM8K*	GPQA Diamond (0-Shot)*
Nomi 2.0	41/100	32/50
Qwen 3.5 4B	38/100	41/50

Benchmarks were done without reasoning (didn't got it to work) and only the first 100/50 Questions of the Benchmark were used.

Reasoning Style Showcase

Q: What is 8x8x8+43+(432+432x3)-39?

Nomi

Restatement

We need to evaluate the arithmetic expression 8 × 8 × 8 + 43 + (432 + 432 × 3) − 39. The operations include multiplication, addition, and subtraction, and we must apply the standard order of operations (PEMDAS/BODMAS).

Approach

Multiplication has higher precedence than addition and subtraction, so we compute all products first, then handle the parentheses grouping, then add/subtract from left to right. Specifically:

Inside the parentheses: 432 × 3 first, then add 432
Outside: 8 × 8 × 8, then combine everything

Step-by-step derivation

Step 1 — Inside parentheses: 432 × 3 = 1296. Then 432 + 1296 = 1728. So (432 + 432 × 3) = 1728.

Step 2 — Outside: 8 × 8 × 8 = 64 × 8 = 512.

Step 3 — Combine: 512 + 43 + 1728 − 39.

512 + 43 = 555
555 + 1728 = 2283
2283 − 39 = 2244

Answer: 2244.

Verification

Check by recombining: 512 + 43 + 1728 = 2283, and 2283 − 39 = 2244. Alternatively, note 512 + 1728 = 2240, then 2240 + 43 − 39 = 2240 + 4 = 2244. Both methods agree.

2244

To evaluate 8 × 8 × 8 + 43 + (432 + 432 × 3) − 39, we follow the order of operations: multiplication first, then parentheses, then addition and subtraction from left to right.

Inside the parentheses, we compute 432 × 3 = 1296, then 432 + 1296 = 1728. Outside, we compute 8 × 8 × 8 = 64 × 8 = 512. The expression now reads 512 + 43 + 1728 − 39.

Adding from left to right: 512 + 43 = 555, then 555 + 1728 = 2283, and finally 2283 − 39 = 2244.

As a sanity check, I can reorder the additions: 512 + 1728 = 2240, and 2240 + 43 − 39 = 2240 + 4 = 2244. The two independent paths give the same result, confirming the answer.

Qwen

Here's my thought process for solving this math problem:

Analyze the Request: The user wants to solve a specific arithmetic expression: $8 \times 8 \times 8 + 43 + (432 + 432 \times 3) - 39$.
Identify the Operations: I need to perform multiplication, addition, and subtraction.
Apply Order of Operations (PEMDAS/BODMAS):
- P/B: Parentheses/Brackets. I need to solve the expression inside the parentheses first.
- E/O: Exponents/Orders. There are none here (unless $8 \times 8 \times 8$ is interpreted as a power, but standard notation implies multiplication).
- MD/DM: Multiplication and Division (left to right).
- AS: Addition and Subtraction (left to right).
Step-by-Step Breakdown:
- Expression: $8 \times 8 \times 8 + 43 + (432 + 432 \times 3) - 39$
- Step 1: Parentheses
  - Inside the parentheses: $(432 + 432 \times 3)$
  - Within the parentheses, multiplication comes before addition.
  - Calculate $432 \times 3$.
    - $400 \times 3 = 1200$
    - $30 \times 3 = 90$
    - $2 \times 3 = 6$
    - $1200 + 90 + 6 = 1296$
  - Now add 432 to the result.
    - $432 + 1296$
    - $2 + 6 = 8$
    - $3 + 9 = 12$ (carry 1)
    - $4 + 2 + 1 = 7$
    - $1$
    - Result: $1728$
  - So, the expression becomes: $8 \times 8 \times 8 + 43 + 1728 - 39$
- Step 2: Multiplication (outside the parentheses)
  - Calculate $8 \times 8 \times 8$.
  - $8 \times 8 = 64$
  - $64 \times 8 = 512$
  - (Note: $8^3 = 512$)
  - The expression becomes: $512 + 43 + 1728 - 39$
- Step 3: Addition and Subtraction (Left to Right)
  - Current expression: $512 + 43 + 1728 - 39$
  - First addition: $512 + 43$
    - $512 + 40 = 552$
    - $552 + 3 = 555$
  - Current expression: $555 + 1728 - 39$
  - Second addition: $555 + 1728$
    - $500 + 1700 = 2200$
    - $55 + 28 = 83$
    - $2200 + 83 = 2283$
  - Current expression: $2283 - 39$
  - Final subtraction: $2283 - 39$
    - $2283 - 30 = 2253$
    - $2253 - 9 = 2244$
    - Alternatively: $2283 - 40 + 1 = 2243 + 1 = 2244$
Double Check:
- Original: $8 \times 8 \times 8 + 43 + (432 + 432 \times 3) - 39$
- $8^3 = 512$
- $432 \times 3 = 1296$
- $432 + 1296 = 1728$
- Sum so far: $512 + 43 + 1728 - 39$
- $512 + 43 = 555$
- $555 + 1728 = 2283$
- $2283 - 39 = 2244$
- Wait, let me re-read the expression carefully.
- $8 \times 8 \times 8 + 43 + (432 + 432 \times 3) - 39$
- Is it possible the user meant $432 + (432 \times 3)$? Yes, that's what I did.
- Is it possible there is a typo in my reading? "8x8x8+43+(432+432x3)-39"
- Let's check the numbers again.
- $512 + 43 = 555$
- $432 \times 3 = 1296$
- $432 + 1296 = 1728$
- $555 + 1728 = 2283$
- $2283 - 39 = 2244$
- Let's check if there's any ambiguity. "432+432x3" is inside parentheses.
- Multiplication takes precedence inside the parentheses.
- $432 + 1296 = 1728$. Correct.
- $8^3 = 512$. Correct.
- $512 + 43 + 1728 - 39$.
- $512 + 43 = 555$.
- $555 + 1728 = 2283$.
- $2283 - 39 = 2244$.
- Wait, is there a trick?
- $432 + 432 \times 3$...
- $432(1+3) = 432 \times 4 = 1728$.
- Ah, that's a nice shortcut. $432 \times 4$.
- $432 \times 2 = 864$.
- $864 \times 2 = 1728$.
- Yes, calculation holds up.
- $8 \times 8 \times 8 = 512$.
- $512 + 43 + 1728 - 39$.
- $512 + 1728 = 2240$.
- $2240 + 43 = 2283$.
- $2283 - 39 = 2244$.
- Wait, $2240 + 43 - 39$.
- $43 - 39 = 4$.
- $2240 + 4 = 2244$.
- This confirms the previous calculation ($2283 - 39 = 2244$) but is slightly faster to verify.
Construct Final Output:
- State the expression.
- Show the order of operations steps clearly.
- Calculate the power ($8^3$).
- Calculate the multiplication inside parentheses.
- Add inside parentheses.
- Perform the final additions and subtractions.
- State the final answer clearly.
Final Polish:
- Expression: $8 \times 8 \times 8 + 43 + (432 + 432 \times 3) - 39$
- Step 1: Parentheses. $432 \times 3 = 1296$. Then $432 + 1296 = 1728$.
- Step 2: Multiplication. $8 \times 8 \times 8 = 512$.
- Step 3: Remaining additions/subtractions. $512 + 43 + 1728 - 39$.
- $555 + 1728 - 39$.
- $2283 - 39 = 2244$.
Looks solid. Ready to write.

Wait, just a quick sanity check on the numbers. $432 + 432 \times 3$. $432 \times (1+3) = 432 \times 4$. $400 \times 4 = 1600$. $32 \times 4 = 128$. $1600 + 128 = 1728$. Correct.

$8^3 = 512$. Correct.

$512 + 43 = 555$. Correct.

$555 + 1728 = 2283$. Correct.

$2283 - 39 = 2244$. Correct.

All checks pass.

Wait, could the input be interpreted differently? "8x8x8+43+(432+432x3)-39" Is it possible "432" is a variable? No, context implies arithmetic. Is it possible "8x8x8" is $8 \times 8 \times 8$? Yes. Is it possible the user meant a specific math puzzle with a trick? Usually, these are just straight arithmetic. The number $432$ is specific. $432 \times 3 = 1296$. $432 + 1296 = 1728$. $8^3 = 512$. $512 + 43 + 1728 - 39$. Maybe there is a pattern? $1728 = 12^3$. $512 = 8^3$. $43 = 43$. $-39$. So $8^3 + 43 + 12^3 - 39$. $8^3 + 12^3 + (43 - 39)$. $512 + 1728 + 4$. $2240 + 4 = 2244$. Interesting, but not a "trick", just observation. The calculation stands.

Okay, proceed with generating the response. Structure:
1. State order of operations (PEMDAS).
2. Solve parentheses.
3. Solve multiplication.
4. Solve addition/subtraction.
5. Final result. Keep it clear and concise.
Wait, re-read the input string one more time to ensure no typos in my transcription. "8x8x8+43+(432+432x3)-39" My transcription: $8 \times 8 \times 8 + 43 + (432 + 432 \times 3) - 39$ Matches perfectly.

Ready.

To solve the expression 8x8x8+43+(432+432x3)-39, we follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents/Multiplication, then Addition and Subtraction.

Step 1: Simplify the parentheses Inside the parentheses, we have: (432 + 432x3) Multiplication comes before addition.

$432 \times 3 = 1296$
$432 + 1296 = 1728$

Now the expression looks like this: $8 \times 8 \times 8 + 43 + 1728 - 39$

Step 2: Perform the multiplication

$8 \times 8 \times 8 = 512$

Now the expression looks like this: $512 + 43 + 1728 - 39$

Step 3: Perform addition and subtraction (left to right)

$512 + 43 = 555$
$555 + 1728 = 2283$
$2283 - 39 = 2244$

Answer: 2244

🧠 Training Details

Base Model: Qwen/Qwen3.5-4B
Fine-tuning: SFT (Supervised Fine-Tuning).
Training Tool: Unsloth (for 4-bit optimized training).

😎 Cool License

Feel free to use or improve Nomi! Benchmark results are always welcome.

JallyAI/Nomi-2

Nomi 2.0

Introduction