Algorithmic Framework and Execution Criteria
Source video: E01: What is the FASTEST Computer Language? 45 Languages Tested! (Dave’s Garage, 22:26) · at 04:52. Dave explains the sieve to one million and the score in passes per second.
The computational core chosen for the benchmark is the classical Sieve of Eratosthenes configured to discover all prime numbers up to an upper limit of one million (![][image1]), an algorithm exhibiting asymptotic theoretical time complexity of ![][image2]1. Rather than testing multi-threaded scaling, vectorization through specialized assembly libraries, or raw floating-point floating-unit throughput, the sieve exposes how language runtimes traverse contiguous memory buffers, manage register-level arithmetic, and interact with CPU cache hierarchies6.
To maintain scientific integrity across radically disparate language paradigms, the project enforces a standardized execution harness governing memory allocation, algorithmic compliance, and time normalization5. The candidate prime memory buffer must be allocated dynamically at runtime rather than instantiated as a static compile-time global array, preventing optimizing compilers from precomputing the sieve at build time or relying on fixed, baked address offsets5. Implementations must also adhere to strict algorithmic fidelity, requiring the sequential elimination of composite multiples step-by-step without resorting to mathematical bypasses, prime tables, or irregular wheel factorizations5.
Each benchmark pass allocates the buffer, executes the clearing loop across all odd factors up to ![][image3], verifies the final prime count against a known mathematical ground truth, and repeats this entire pipeline continuously over a calibrated duration window of approximately five seconds2. The resulting performance metric is expressed as the total count of completed valid passes normalized to passes per second, establishing a high-resolution, single-threaded throughput index that evaluates the efficiency of each language’s tight inner loop execution2.
Review findings for this part
Section titled “Review findings for this part”The findings come from ../../findings/ (pass 1). The script matches them to this part by source line.
| ID | Severity | Evidence | Status | Location | Problem |
|---|---|---|---|---|---|
| D11-M1 | major | VERIFY | verify | L11 | Claim: The rules forbid “irregular wheel factorizations”.. Problem: The repository rules (CONTRIBUTING.md of PlummersSoftwareLLC/Primes, read on the web in pass 1) permit wheel solutions. They get the tag algorithm=wheel. The rules do require a buffer that is allocated at run time, so that part is correct. |
| D11-m3 | minor | VIDEO VERIFY | verify | L12 | Claim: Each pass checks the prime count against a known value.. Problem: The video shows ValidateResults, which compares the count with a table of known counts [13:04 to 13:21]. The captions do not show a check on every pass. |
| D11-m4 | minor | DOC | open | L10, L46, L49 | Claim: Formulas (the limit, the complexity, the footprint, the step).. Problem: They are images (image1 to image5). A reader cannot copy them, search them or read them with a screen reader. The footprint number in L46 is not in the text. |
Review worksheet
Section titled “Review worksheet”1. Goal of this part
Section titled “1. Goal of this part”What does this part try to show, or help the reader decide?
2. Key claims to test
Section titled “2. Key claims to test”| # | Claim | Evidence given (citation / data) | Verifiable? |
|---|---|---|---|
| 1 |
3. Adversarial review
Section titled “3. Adversarial review”- Strongest counter-argument:
- Unsupported, overstated, or outdated claims:
- Source quality (primary vs. blog/forum/marketing):
- Omissions / what a skeptic would ask:
- Internal consistency with other segments:
4. Evaluation
Section titled “4. Evaluation”- Does the segment achieve its goal? (Yes / Partly / No)
- Confidence: (High / Medium / Low)
- Required fixes: