AN AUTOMATED APPROACH FOR IDENTIFYING CARTRIDGES.
Cartridges are often recovered from historic archaeological sites. Standard guides to headstamp identification, notably Henry P. White and Burton D. Munhall's Cartridge Headstamp Guide (1977), can be used when headstamps are present. However, early cartridges frequently lack any identifying headstamps, forcing one to rely instead on measurements in an effort to identify the caliber.
Data presented in the table below have been taken from Frank Barnes' Cartridges of the World (6th Edition, 1989). We have used this spreadsheet to automate cartridge identification in the following fashion. After adding columns to the right side of the spreadsheet, we then write equations in our spreadsheet software to calculate deviations between measured values for base diameter, rim diameter, and case length with tabled values appearing in Barnes. Other measurements, such as shoulder diameter, can be added to the calculations if desired. As an example, we recently recovered an unheadstamped cartridge near El Paso, TX, exhibiting the following measurements:
Base = .540 Rim = .458 Case Length = 2.32
The Euclidean distance is calculated as the square root of the sum of the squared deviations between these three measurements and measurements appearing in the data table. In this instance, for example, the calculations would be:
Square Root of ((Basei -.54)2 + (Rimi - .458)2 + (Case Lengthi - 2.32)2) where i = the ith observation or, in this case, cartridge in the list
This equation (substituing of course your own measured valued) can then be copied to all of the cartridges in the list. Identification is accomplished by selecting the match that has the smallest Euclidean distance or the smallest value. In this instance, the smallest value or best match is found with the .30-40 Krag-Jorgensen cartridge. A cross-check of shoulder diameter confirmed this identification.
Note that cartridge condition directly affects measurements and, by extension, identifications. Don't use really battered cartridges unless there is no other choice. In some instances, we have only been able to measure base diameter (it is very stout) and case length. Even these two measurements can dramatically reduce the number of alternate possibilities that you have to deal with. Also, try to determine:
(1) whether the cartridge is a straight or bottlenecked case.
(2) whether the cartridge exhibits a rimmed, semi-rimmed, or rimless base.
These two ancillary pieces of information, combined with a few measurements, can further narrow the field of possible identifications or, if you're very lucky, get a single match. Good luck and have fun!
Oh, yes!. Tim Seaman, during his sodden, futile efforts to bag an elk during three days of driving rain, reminded me, while sipping Irish whiskey, that I had failed to mention that all these measurements are in inches. I would have thought this obvious since we Americans have refused to go metric. But Tim is the master of clarity and, in deference to his comments, I though I'd point this out. Thank you, Timmy, and better luck next time, you nimrod...
Cartridge/Caliber | Case Type | Bullet Diam. | Neck Diam. | Shoulder Dia. | Base Diam. | Rim Diam. | Case Length |
22 BB Cap | Rim, straight | 0.222 | 0.224 | 0.224 | 0.27 | 0.284 | |
22 CB Cap | Rim, straight | 0.222 | 0.225 | 0.225 | 0.271 | 0.42 | |
22 Winchester Auto | Rim, straight | 0.222 | 0.25 | 0.25 | 0.31 | 0.665 | |
22 Short | Rim, straight | 0.223 | 0.224 | 0.225 | 0.273 | 0.423 | |
22 Long | Rim, straight | 0.223 | 0.224 | 0.225 | 0.275 | 0.595 | |
22 Long Rifle | Rim, straight | 0.223 | 0.224 | 0.225 | 0.275 | 0.595 | |
22 Extra Long | Rim, straight | 0.223 | 0.225 | 0.225 | 0.275 | 0.75 | |
22 Reminoton Auto | Rim, straight | 0.223 | 0.245 | 0.225 | 0.29 | 0.663 | |
22 Winchester Mag. RF | Rim, straight | 0.224 | 0.24 | 0.241 | 0.291 | 1.052 | |
25 Short | Rim, straight | 0.246 | 0.245 | 0.245 | 0.29 | 0.468 | |
25 Stevens Short | Rim, straight | 0.251 | 0.275 | 0.276 | 0.333 | 0.599 | |
25 Stevens | Rim, straight | 0.251 | 0.276 | 0.276 | 0.333 | 1.125 | |
30 Short | Rim, straight | 0.286 | 0.292 | 0.292 | 0.346 | 0.515 | |
30 Long | Rim, straight | 0.288 | 0.288 | 0.288 | 0.34 | 0.613 | |
32 Long Rifle | Rim, straight | 0.312 | 0.318 | 0.318 | 0.377 | 0.937 | |
32 Extra Short | Rim, straight | 0.316 | 0.318 | 0.317 | 0.367 | 0.398 | |
32 Short | Rim, straight | 0.316 | 0.318 | 0.318 | 0.377 | 0.575 | |
32 Long | Rim, straight | 0.316 | 0.318 | 0.318 | 0.377 | 0.791 | |
32 Extra Long | Rim, straight | 0.316 | 0.317 | 0.318 | 0.378 | 1.15 | |
9mm Ball | Rim, straight | 0.337 | 0.35 | 0.35 | 0.402 | 0.417 | |
35 Allen | Rim, straight | 0.342 | 0.342 | 0.342 | 0.407 | 0.865 | |
38 Short | Rim, straight | 0.375 | 0.376 | 0.376 | 0.436 | 0.768 | |
38 Long | Rim, straight | 0.375 | 0.376 | 0.376 | 0.435 | 0.873 | |
38 Extra Long | Rim, straight | 0.375 | 0.378 | 0.378 | 0.435 | 1.48 | |
41 Short | Rim, straight | 0.405 | 0.406 | 0.406 | 0.468 | 0.467 | |
41 Long | Rim, straight | 0.405 | 0.407 | 0.407 | 0.468 | 0.635 | |
42 Forehard & Wadsworth | Rim, straight | 0.417 | 0.416 | 0.416 | 0.485 | 0.847 | |
41 Swiss | Rim, bottleneck | 0.418 | 0.445 | 0.539 | 0.62 | 1.519 | |
44 Short | Rim, straight | 0.446 | 0.445 | 0.445 | 0.519 | 0.688 | |
44 Henry Flat | Rim, straight | 0.446 | 0.445 | 0.446 | 0.519 | 0.875 | |
44 Extra Long Ballard | Rim, straight | 0.446 | 0.456 | 0.457 | 0.524 | 1.25 | |
44 Long | Rim, straight | 0.451 | 0.455 | 0.458 | 0.525 | 1.094 | |
46 Long | Rim, straight | 0.454 | 0.456 | 0.456 | 0.523 | 1.25 | |
46 Remington Carbine | Rim, straight | 0.455 | 0.455 | 0.455 | 0.529 | 0.99 | |
46 Extra Short | Rim, straight | 0.456 | 0.458 | 0.458 | 0.53 | 0.633 | |
46 Short | Rim, straight | 0.456 | 0.458 | 0.458 | 0.53 | 0.836 | |
50 Ball Carbine** | Rim, straight | 0.456 | 0.476 | 0.56 | 0.64 | 0.859 | |
46 Extra Long | Rim, straight | 0.459 | 0.457 | 0.457 | 0.525 | 1.534 | |
56-46 Spencer | Rim, bottleneck | 0.465 | 0.478 | 0.555 | 0.558 | 0.641 | 1.035 |
56-46 Extra Long | Rim, bottleneck | 0.475 | 0.468 | 0.551 | 0.563 | 0.638 | 1.2 |
46 Hammond Carbine | Rim, straight | 0.481 | 0.5 | 0.518 | 0.59 | 1.625 | |
50-60 Peabody** | Rim, straight | 0.499 | 0.508 | 0.559 | 0.645 | 1.456 | |
50 Warner Carbine | Rim, straight | 0.505 | 0.526 | 0.526 | 0.604 | 0.85 | |
50 Remington Navy | Rim, straight | 0.51 | 0.535 | 0.562 | 0.642 | 0.86 | |
50-70 Govt. | Rim, straight | 0.512 | 0.532 | 0.557 | 0.655 | 1.72 | |
56-50 Spencer Carbine | Rim, straight | 0.512 | 0.543 | 0.556 | 0.639 | 1.156 | |
56-50 Spencer Carbine | Rim, straight | 0.512 | 0.543 | 0.556 | 0.639 | 1.156 | |
56-52 Spencer Rifle | Rim, straight | 0.512 | 0.54 | 0.559 | 0.639 | 1.035 | |
56-52 Spencer Necked | Rim, bottleneck | 0.525 | 0.547 | 0.558 | 0.56 | 0.642 | 1.02 |
50 Rem. Pistol** | Rim, straight | 0.529 | 0.536 | 0.558 | 0.638 | 0.875 | |
56-56 Spencer Carbine | Rim, straight | 0.55 | 0.56 | 0.56 | 0.645 | 0.875 | |
58 Miller | Rim, straight | 0.585 | 0.62 | 0.628 | 0.709 | 1.193 | |
219 Zipper | Rim, bottleneck | 0.224 | 0.252 | 0.364 | 0.421 | 0.497 | 1.94 |
22-15-60 Stevens | Rim, straight | 0.226 | 0.243 | 0.265 | 0.342 | 2.01 | |
22 Winchester Centerfire | Rim, bottleneck | 0.228 | 0.241 | 0.278 | 0.295 | 0.342 | 1.39 |
22 Extra Long Maynard | Rim, straight | 0.228 | 0.252 | 0.252 | 0.31 | 1.17 | |
22 Savage High Power | Rim, bottleneck | 0.228 | 0.252 | 0.36 | 0.416 | 0.5 | 2.05 |
6mm Lee Navy | Rimless, bottleneck | 0.244 | 0.278 | 0.402 | 0.445 | 0.448 | 2.35 |
25-20 Single Shot | Rim, bottleneck | 0.257 | 0.275 | 0.296 | 0.315 | 0.378 | 1.63 |
25-21 Stevens | Rim, straight | 0.257 | 0.28 | 0.3 | 0.376 | 2.05 | |
25-25 Stevens | Rim, straight | 0.257 | 0.282 | 0.323 | 0.376 | 2.37 | |
25 Remington | Rimless, bottleneck | 0.257 | 0.28 | 0.355 | 0.42 | 0.421 | 2.04 |
25-36 Marlin | Rim, bottleneck | 0.257 | 0.281 | 0.358 | 0.416 | 0.499 | 2.12 |
256/6.5mm Newton | Rimless, bottleneck | 0.264 | 0.29 | 0.43 | 0.469 | 0.473 | 2.44 |
275 H&H Magnum | Belted, bottleneck | 0.284 | 0.375 | 0.375 | 0.513 | 0.532 | 2.5 |
28-30-120 Stevens | Rim, straight | 0.285 | 0.309 | 0.357 | 0.412 | 2.51 | |
30-30 Wesson | Rim, bottleneck | 0.308 | 0.329 | 0.33 | 0.38 | 0.44 | 1.66 |
30-40 Wesson | Rim, bottleneck | 0.308 | 0.329 | 0.381 | 0.377 | 0.436 | 1.63 |
30 Newton | Rimless, bottleneck | 0.308 | 0.34 | 0.491 | 0.523 | 0.525 | 2.52 |
32-40 Remington | Rim, bottleneck | 0.309 | 0.33 | 0.358 | 0.453 | 0.535 | 2.13 |
32-30 Remington | Rim, bottleneck | 0.312 | 0.332 | 0.357 | 0.378 | 0.437 | 1.64 |
32-35 Stevens/Maynard | Rim, straight | 0.312 | 0.339 | 0.402 | 0.503 | 1.88 | |
32-40 Bullard | Rim, bottleneck | 0.315 | 0.332 | 0.413 | 0.453 | 0.51 | 1.85 |
32 Long CF | Rim, straight | 0.317 | 0.318 | 0.321 | 0.369 | 0.82 | |
32 Extra Long Ballard* | Rim, straight | 0.317 | 0.318 | 0.321 | 0.369 | 1.24 | |
32 Winchester SL | H | 0.32 | 0.343 | 0.346 | 0.388 | 1.28 | |
32-40 Ballard & Win. | Rim, straight | 0.32 | 0.338 | 0.424 | 0.506 | 2.13 | |
32 Remington | Rimless, bottleneck | 0.32 | 0.344 | 0.396 | 0.42 | 0.421 | 2.04 |
32 Ideal | Rim, straight | 0.323 | 0.344 | 0.348 | 0.411 | 1.77 | |
33 Winchester | Rim, bottleneck | 0.333 | 0.365 | 0.443 | 0.508 | 0.61 | 2.11 |
35 Winchester SL | H | 0.351 | 0.374 | 0.378 | 0.405 | 1.14 | |
35 Winchester | Rim, bottleneck | 0.358 | 0.378 | 0.412 | 0.457 | 0.539 | 2.41 |
35 Newton | Rimless, bottleneck | 0.358 | 0.383 | 0.498 | 0.523 | 0.525 | 2.52 |
350 Griffin & Howe Magnum | Belted, bottleneck | 0.357 | 0.382 | 0.446 | 0.511 | 0.528 | 2.848 |
35-30 Maynard 1882 | Rim, straight | 0.359 | 0.395 | 0.4 | 0.494 | 1.63 | |
35-40 Maynard 1873 | Rim, straight | 0.36 | 0.39 | 0.403 | 0.764 | 2.1 | |
35-40 Maynard | Rim, straight | 0.36 | 0.39 | 0.4 | 0.492 | 2.06 | |
38-45 Stevens | Rim, straight | 0.363 | 0.395 | 0.455 | 0.522 | 1.76 | |
35-30 Maynard 1873 | Rim, straight | 0.364 | 0.397 | 0.403 | 0.765 | 1.63 | |
35-30 Maynard 1865 | Rim, straight | 0.37 | 0.397 | 0.408 | 0.771 | 1.53 | |
38-40 Remington | Rim, straight | 0.372 | 0.395 | 0.454 | 0.537 | 1.77 | |
38-45 Bullard | Rim, bottleneck | 0.373 | 0.397 | 0.448 | 0.454 | 0.526 | 1.8 |
375 Weatherby Magnum | Belted, bottleneck | 0.375 | 0.403 | 0.495 | 0.513 | 0.53 | 2.86 |
38 Long Centerfire | Rim, straight | 0.375 | 0.378 | 0.379 | 0.441 | 1.03 | |
38 Extra Long Ballard* | Rim, straight | 0.375 | 0.378 | 0.379 | 0.441 | 1.63 | |
38-35 Stevens | Rim, straight | 0.375 | 0.402 | 0.403 | 0.492 | 1.62 | |
38-50 Maynard 1882 | Rim, straight | 0.375 | 0.415 | 0.421 | 0.5 | 1.97 | |
38-56 Winchester | Rim, bottleneck | 0.376 | 0.403 | 0.447 | 0.506 | 0.606 | 2.1 |
38-50 Ballard | Rim, straight | 0.376 | 0.395 | 0.425 | 0.502 | 2 | |
38-50 Remington | Rim, straight | 0.376 | 0.392 | 0.454 | 0.535 | 2.23 | |
38-90 Winchester Express | Rim, bottleneck | 0.376 | 0.395 | 0.47 | 0.477 | 0.558 | 3.25 |
38-70 Winchester | Rim, bottleneck | 0.378 | 0.403 | 0.421 | 0.506 | 0.6 | 2.31 |
38-72 Winchester | Rim, bottleneck | 0.378 | 0.397 | 0.427 | 0.461 | 0.519 | 2.58 |
40-50 Sharps (Straight) | Rim, straight | 0.403 | 0.421 | 0.454 | 0.554 | 1.88 | 2.63 |
40-50 Sharps (Necked) | Rim, bottleneck | 0.403 | 0.424 | 0.489 | 0.501 | 0.58 | 1.72 |
40-60 Marlin | Rim, straight | 0.403 | 0.425 | 0.504 | 0.604 | 2.11 | |
40-63/40-70 Ballard | Rim, straight | 0.403 | 0.43 | 0.471 | 0.555 | 2.38 | |
40-65 Ballard | Rim, straight | 0.403 | 0.435 | 0.508 | 0.6 | 2.38 | |
40-70 Sharps (Straight) | Rim, straight | 0.403 | 0.42 | 0.453 | 0.533 | 2.5 | |
40-70 Sharps (Necked) | Rim, bottleneck | 0.403 | 0.426 | 0.5 | 0.503 | 0.595 | 2.25 |
40-85/40-90 Ballard | Rim, straight | 0.403 | 0.425 | 0.477 | 0.545 | 2.94 | |
40-90 Sharps (Straight) | Rim, straight | 0.403 | 0.425 | 0.477 | 0.546 | 3.25 | |
40-90 Sharps (Necked) | Rim, bottleneck | 0.403 | 0.435 | 0.5 | 0.506 | 0.602 | 2.63 |
40-110 Winchester EX | Rim, bottleneck | 0.403 | 0.428 | 0.485 | 0.543 | 0.651 | 3.25 |
40-60 Winchester | Rim, bottleneck | 0.404 | 0.425 | 0.445 | 0.506 | 0.63 | 1.87 |
40-70 Remington | Rim, bottleneck | 0.405 | 0.434 | 0.5 | 0.503 | 0.595 | 2.25 |
40-70 Winchester | Rim, bottleneck | 0.405 | 0.43 | 0.496 | 0.504 | 0.604 | 2.4 |
40-65 Winchester | Rim, straight | 0.406 | 0.423 | 0.504 | 0.604 | 2.1 | |
40-72 Winchester | Rim, straight | 0.406 | 0.431 | 0.46 | 0.518 | 2.6 | |
40-82/40-75 Winchester | Rim, bottleneck | 0.406 | 0.428 | 0.448 | 0.502 | 0.604 | 2.4 |
401 Winchester SL | H | 0.406 | 0.428 | 0.429 | 0.457 | 1.5 | |
40-70 Peabody | Rim, bottleneck | 0.408 | 0.428 | 0.551 | 0.581 | 0.662 | 1.76 |
40-90 Peabody | Rim, bottleneck | 0.408 | 0.433 | 0.546 | 0.586 | 0.659 | 2 |
405 Winchester | Rim, straight | 0.412 | 0.436 | 0.461 | 0.543 | 2.58 | |
40-75 Bullard | Rim, straight | 0.413 | 0.432 | 0.505 | 0.606 | 2.09 | |
40-90 Bullard | Rim, bottleneck | 0.413 | 0.43 | 0.551 | 0.569 | 0.622 | 2.04 |
40-40 Maynard | Rim, straight | 0.415 | 0.45 | 0.456 | 0.532 | 1.78 | |
40-60 Maynard 1882 | Rim, straight | 417 | 0.448 | 0.454 | 0.533 | 2.2 | |
40-70 Maynard 1882 | Rim, straight | 0.417 | 0.45 | 0.451 | 0.535 | 2.42 | |
44 Evans Short | Rim, straight | 0.419 | 0.439 | 0.44 | 0.513 | 0.99 | |
44 Evans Long | Rim, straight | 0.419 | 0.434 | 0.449 | 0.509 | 1.54 | |
40-70 Maynard 1873 | Rimless, straight | 0.422 | 0.45 | 0.451 | 0.759 | 2.45 | |
40-40 Maynard 1873 | Rim, straight | 0.422 | 0.45 | 0.46 | 0.743 | 1.84 | |
40-40 Maynard 1865 | Rim, straight | 0.423 | 0.45 | 0.458 | 0.766 | 1.75 | |
44 Henry | Rim, straight | 0.423 | 0.443 | 0.445 | 0.523 | 0.88 | |
44-40 Extra Long | Rim, bottleneck | 0.428 | 0.442 | 0.463 | 0.468 | 0.515 | 1.58 |
44 Long Ballard* | Rim, straight | 0.439 | 0.44 | 0.441 | 0.506 | 1.09 | |
44 Extra Long Ballard* | Rim, straight | 0.439 | 0.441 | 0.441 | 0.506 | 1.63 | |
44 Extra Long Wesson | Rim, straight | 0.44 | 0.441 | 0.441 | 0.51 | 1.63 | |
44-90 Remington Straight | Rim, straight | 0.442 | 0.465 | 0.503 | 0.568 | 2.6 | |
44-90 Remington Necked | Rim, bottleneck | 0.442 | 0.466 | 0.504 | 0.506 | 0.628 | 2.44 |
44-95 Peabody | Rim, bottleneck | 0.443 | 0.465 | 0.55 | 0.58 | 0.67 | 2.31 |
44-70 Maynard 1882 | Rim, straight | 0.445 | 0.466 | 0.499 | 0.601 | 2.21 | |
44-75 Ballard | Rim, straight | 0.445 | 0.487 | 0.497 | 0.603 | 2.5 | |
44-100 Ballard | Rim, straight | 0.445 | 0.485 | 0.498 | 0.597 | 2.81 | |
44-100 Wesson | Rim, straight | 0.445 | 3.38 | ||||
44-77 Sharps & Remington | Rim, bottleneck | 0.446 | 0.467 | 0.502 | 0.516 | 0.625 | 2.25 |
44-85 Wesson | Rim, straight | 0.446 | 2.88 | ||||
44-90 Sharps 2.625 | Rim, bottleneck | 0.446 | 0.468 | 0.504 | 0.517 | 0.625 | 2.63 |
44-60 Sharps & Remington | Rim, bottleneck | 0.447 | 0.464 | 0.502 | 0.515 | 0.63 | 1.88 |
44-60 Peabody | Rim, bottleneck | 0.447 | 0.464 | 0.502 | 0.518 | 0.628 | 1.89 |
44-100 Maynard 1873 | Rim, straight | 0.45 | 0.49 | 0.497 | 0.759 | 2.88 | |
45-100 Sharps (2.4"-2.6") | Rim, straight | 0.451 | 0.489 | 0.5 | 0.597 | 2.5 | |
45-120 Sharps (3.25") | Rim, straight | 0.451 | 0.49 | 0.506 | 0.597 | 3.25 | |
45-100 Remington (Necked) | Rim, bottleneck | 0.452 | 0.49 | 0.55 | 0.558 | 0.645 | 2.63 |
45-50 Peabody | Rim, bottleneck | 0.454 | 0.478 | 0.508 | 0.516 | 0.634 | 1.54 |
45-60 Winchester | Rim, straight | 0.454 | 0.479 | 0.508 | 0.629 | 1.89 | |
45-75 Winchester | Rim, bottleneck | 0.454 | 0.478 | 0.547 | 0.559 | 0.616 | 1.89 |
45-100 Ballard | Rim, straight | 0.454 | 0.487 | 0.498 | 0.597 | 2.81 | |
45-125 Winchester | Rim, bottleneck | 0.456 | 0.47 | 0.521 | 0.533 | 0.601 | 3.25 |
45 Sharps Straight | Rim, straight | 0.457 | 0.478 | 2.1 | |||
45-75 Sharps | Rim, straight | 0.457 | 0.478 | 2.1 | |||
45-78 Wolcott | Rim, straight | 0.457 | 0.478 | 2.31 | |||
45-80 Sharpshooter | Rim, straight | 0.457 | 0.478 | 2.4 | |||
45-90 Winchester | Rim, straight | 0.457 | 0.477 | 0.501 | 0.597 | 2.4 | |
45-82 Winchester | Rim, straight | 0.457 | 0.477 | 0.501 | 0.597 | 2.4 | |
45-85 Winchester | Rim, straight | 0.457 | 0.477 | 0.501 | 0.597 | 2.4 | |
50-90 Sharps | Rim, straight | 0.509 | 0.528 | 0.565 | 0.663 | 2.5 | |
50-140 (3.25") Sharps | Rim, straight | 0.509 | 0.528 | 0.565 | 0.665 | 3.25 | |
50-110 Winchester | Rim, straight | 0.512 | 0.534 | 0.551 | 0.607 | 2.4 | |
50-115 Bullard | Semi-rimmed, bottleneck | 0.512 | 0.547 | 0.577 | 0.585 | 0.619 | 2.19 |
50-140 Winchester | Rim, straight | 0.512 | 0.528 | 0.551 | 0.652 | 3.25 | |
50-50 Maynard 1882 | Rim, straight | 0.513 | 0.535 | 0.563 | 0.661 | 1.37 | |
50-95 Winchester | Rim, bottleneck | 0.513 | 0.533 | 0.553 | 0.562 | 0.627 | 1.94 |
50-70 Maynard 1873 | Rim, straight | 0.514 | 0.547 | 0.552 | 0.76 | 1.88 | |
50-70 Government | Rim, straight | 0.515 | 0.535 | 0.565 | 0.66 | 1.75 | |
50 Maynard 1865 | Rim, straight | 0.52 | 0.543 | 0.545 | 0.77 | 1.24 | |
55-100 Maynard 1882 | Rim, straight | 0.551 | 0.582 | 0.59 | 0.718 | 1.94 | |
58 Berdan Musket | Rim, straight | 0.589 | 0.625 | 0.646 | 0.74 | 1.75 | |
70-150 Winchester | Rim, bottleneck | 0.705 | 0.725 | 0.79 | 0.805 | 0.87 | 2.18 |
30-40 Krag | Rim, bottleneck | 0.308 | 0.338 | 0.423 | 0.457 | 0.540 | 2.310 |