Paired comparison
Sixty exercises under the same conditions
The comparison covers 60 exercises answered by both models: 33 from Mathematical Analysis III and 27 from General Physics II. Every pair uses the same problem statement and prompt, thinking enabled with high reasoning effort, the same maximum-output limit, and identical approved and frozen rubrics.
This is therefore a paired design. For each exercise, the Flash answer is compared directly with the Pro answer rather than with an unrelated aggregate.
60Common exercises
33 + 27Analysis III and Physics II
1:1Directly paired answers
Accuracy
No detectable accuracy advantage in this panel
| Indicator | V4 Flash | V4 Pro |
|---|---|---|
| Exercises | 60 | 60 |
| Mean score | 97.24 | 96.71 |
| Median score | 100 | 100 |
| 100/100 responses | 42 | 36 |
| Standard deviation | 9.17 | 7.12 |
| Minimum score | 42.50 | 64.75 |
| Responses with no atomic errors | 42 | 36 |
| Major or fatal errors | 7 | 8 |
Flash scores 0.52 percentage points higher in the observed panel, but this difference is too small relative to the observed variability to conclude that Flash is intrinsically more accurate.
After excluding ties, the two-sided sign test gives p = 0.230. The approximate 95% bootstrap confidence interval for the mean paired difference runs from −0.76 to +1.78 points and includes zero.
This benchmark reveals no statistically distinguishable accuracy advantage for DeepSeek V4 Pro over V4 Flash.
The result is stable across disciplines.
| Subject | V4 Flash | V4 Pro | Difference |
|---|---|---|---|
| Mathematical Analysis III | 97.10 | 96.57 | +0.53 |
| General Physics II | 97.41 | 96.89 | +0.52 |
Data & methodDownload the comparison summary CSV ↗ and the exercise-score CSV ↗. Tests use the 60 within-exercise pairs described in the method ↗.
The near identity of the two subject-level differences matters: the overall tie is not produced by one model winning in mathematics while the other compensates in physics.
Generation profile
Flash reasons longer but answers more briefly
Equivalent scores do not imply identical generation behavior.
| Mean tokens per exercise | V4 Flash | V4 Pro | Flash difference |
|---|---|---|---|
| Reasoning | 20,106 | 14,345 | +40.2% |
| Visible answer | 2,405 | 2,755 | −12.7% |
| Total output | 22,511 | 17,100 | +31.6% |
Data & methodDownload the table summary CSV ↗ and the token-and-cost CSV ↗.
Flash uses about 5,761 additional reported reasoning tokens yet returns a final answer roughly 350 tokens shorter. The observed token allocation differs between the configurations; it does not by itself identify the underlying computational cause.
DeepSeek reports 13 billion active parameters for V4 Flash and 49 billion for V4 Pro, with 284 billion and 1.6 trillion total parameters respectively. The provider explicitly presents Flash as its smaller, lower-cost variant with reasoning capability close to Pro. See the DeepSeek V4 release note ↗.
Measurement limit. Token counts do not directly measure FLOPs, energy use or actual computation, especially across different Mixture-of-Experts architectures. They describe output allocation, not the full physical cost of inference.
The result is nevertheless consistent with work on test-time compute: in some regimes, an effective inference-time allocation can recover part of the gap associated with model scale. See Scaling LLM Test-Time Compute Optimally ↗.
Price efficiency
The real separation is economic
The run metadata preserves the pricing snapshot used for these estimates, captured on 10 Aug 2026.
| Price per million tokens | V4 Flash | V4 Pro |
|---|---|---|
| Uncached input | $0.14 | $0.435 |
| Output | $0.28 | $0.87 |
The provider's current Models & Pricing page ↗ may differ from that historical snapshot. Applying the recorded rates to observed consumption produces:
| Estimated cost | V4 Flash | V4 Pro |
|---|---|---|
| Mean per exercise | $0.00641 | $0.01517 |
| Total across 60 runs | $0.3845 | $0.9102 |
Data & methodDownload the historical rate and comparison CSV ↗ and the run-derived token-and-cost CSV ↗.
Despite producing 31.6% more total output tokens.
Flash scores 0.52 percentage points higher in the observed panel while using only 42.2% of Pro's estimated cost.
Mean latency is also slightly lower—227 seconds versus 244—but the timing result is much less stable. Flash is faster in 33 pairs and slower in 27, so the evidence does not support a latency advantage as clear as the economic one.
Risk profile
Equal means, different distributions
The average tie hides a difference in the shape of errors. Flash produces more perfect solutions—42 against 36—and fewer atomic errors overall—29 against 40.
Pro, however, has a more controlled lower tail: its minimum is 64.75 rather than 42.50, its standard deviation is 7.12 rather than 9.17, and it produces no fatal errors compared with one from Flash.
This distinction matters operationally. If every severe error triggers human review, mean accuracy alone is insufficient: the loss distribution and the cost of the negative tail must also enter the decision.
Conclusion
A commercial tier is not a utility metric
On this sample, DeepSeek V4 Pro provides no detectable accuracy improvement over V4 Flash. Flash uses more reasoning tokens and is slightly more variable, but reaches the same mean correctness, produces more perfect solutions, returns shorter final answers and costs about 58% less.
The result does not prove that Flash is universally superior. It establishes a more useful principle:
For university-level mathematical reasoning, capacity, test-time compute, reliability and cost must be evaluated separately.
References
Sources and further reading
- DeepSeek (2026). DeepSeek V4 release note ↗. Provider documentation.
- DeepSeek (2026). Models & Pricing ↗. Current provider pricing page.
- Snell, C. et al. (2024). Scaling LLM Test-Time Compute Optimally ↗. arXiv.
Pricing note. Cost figures are historical estimates based on the rates recorded with the benchmark runs. Provider prices, peak/off-peak rules, exchange rates and subscription limits can change; current commercial pages may therefore differ from the archived snapshot.

