06 · Capital Harness Designer (harness engineering)

Bundle sizing

Can it compute every branch diameter of a harness the way Capital Harness Designer does?

Trace each wire through the harness tree, count what passes every branch, then apply Capital’s “Worst case – Enhanced” method: the greatest of the Navy Table, factored cross-section and combined outside diameter, plus overbraid. Grounded in Capital’s own documented formulas.

Capital reference. Bundle Size Calculations (harness-designer/bundle-size-calculations). This domain stands for the capability that article describes; the task gives the model the rules in full rather than testing whether it remembers Capital’s.

Not tested here. Tape and conduit build-up, multicore cables, and the other three calculation methods.

Scale ladder. S: 5 branches, 8 wires · M: 12 branches, 40 wires · L: 29 branches, 140 wires.

Results

ModelVerdictS passedM passedL passedMean score
Claude Opus 5.5Assist2 / 33 / 32 / 396
Claude Fable 5.1Ready3 / 33 / 33 / 3100
Claude Sonnet 5.5Assist3 / 32 / 32 / 398.8

Every trial

ModelSizeSeedScoreChecksTime
Claude Fable 5.1L#0229616318100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%130 s
Claude Fable 5.1L#1246393937100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%160 s
Claude Fable 5.1L#2196061080100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%144 s
Claude Fable 5.1M#02083745793100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%37 s
Claude Fable 5.1M#12066968174100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%48 s
Claude Fable 5.1M#22050190555100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%38 s
Claude Fable 5.1S#02077288799100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%15 s
Claude Fable 5.1S#12060511180100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%16 s
Claude Fable 5.1S#22110844037100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%15 s
Claude Opus 5.5L#0229616318100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%141 s
Claude Opus 5.5L#1246393937100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%135 s
Claude Opus 5.5L#219606108087.6wire counts: 29 of 29 branch counts right · diameters: 23 of 29 diameters within 0.5%95 s
Claude Opus 5.5M#02083745793100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%43 s
Claude Opus 5.5M#12066968174100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%43 s
Claude Opus 5.5M#22050190555100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%40 s
Claude Opus 5.5S#02077288799100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%17 s
Claude Opus 5.5S#12060511180100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%15 s
Claude Opus 5.5S#2211084403776wire counts: 5 of 5 branch counts right · diameters: 3 of 5 diameters within 0.5%17 s
Claude Sonnet 5.5L#022961631897.9wire counts: 29 of 29 branch counts right · diameters: 28 of 29 diameters within 0.5%115 s
Claude Sonnet 5.5L#1246393937100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%124 s
Claude Sonnet 5.5L#2196061080100wire counts: 29 of 29 branch counts right · diameters: 29 of 29 diameters within 0.5%89 s
Claude Sonnet 5.5M#02083745793100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%26 s
Claude Sonnet 5.5M#12066968174100wire counts: 12 of 12 branch counts right · diameters: 12 of 12 diameters within 0.5%35 s
Claude Sonnet 5.5M#2205019055591.7wire counts: 11 of 12 branch counts right · diameters: 11 of 12 diameters within 0.5%26 s
Claude Sonnet 5.5S#02077288799100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%9 s
Claude Sonnet 5.5S#12060511180100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%8 s
Claude Sonnet 5.5S#22110844037100wire counts: 5 of 5 branch counts right · diameters: 5 of 5 diameters within 0.5%8 s

What the model is asked

The small instance at seed 2077288799, exactly as sent. Regenerate any instance with npm run sample -- bundles M 2.

Show the prompt (1,895 characters)
TASK: Bundle sizing (Capital Harness Designer, method "Worst case - Enhanced").

The harness is a tree of nodes joined by branches. Each wire runs along the unique path between its two end nodes
and passes through every branch on that path. For EVERY branch, compute the number of wires through it and its diameter:
- Navy Table = (average outside diameter of the wires in the branch) x factor(n), where n = number of wires;
  factor(n) is given in `navyFactors` for n <= 20; for n > 20, factor = 1.12 x sqrt(n) rounded to 2 decimals.
- Factored CSA = sqrt(1.3 x sum of (each wire's OD squared))
- Combined OD = sum of the two largest wire ODs (a single wire: its own OD).
- Diameter = the greatest of those three, plus 2 x overbraid thickness if the branch is overbraided.
- A branch with no wires has diameter 0.
Round each diameter to 2 decimals.

Wire outside diameter (mm) by gauge: {"12":2.9,"14":2.4,"16":2,"18":1.7,"20":1.45,"22":1.25,"24":1.1}
navyFactors: {"1":1,"2":2,"3":2.15,"4":2.41,"5":2.7,"6":3,"7":3,"8":3.3,"9":3.61,"10":3.81,"11":3.92,"12":4.03,"13":4.24,"14":4.33,"15":4.52,"16":4.62,"17":4.79,"18":4.86,"19":4.86,"20":5.12}
Overbraided branches (thickness mm): {}

Branches:
[
  {"id":"B1","a":"N1","b":"N2"},
  {"id":"B2","a":"N1","b":"N3"},
  {"id":"B3","a":"N1","b":"N4"},
  {"id":"B4","a":"N3","b":"N5"},
  {"id":"B5","a":"N2","b":"N6"}
]

Wires:
[
  {"id":"W1","from":"N4","to":"N5","gauge":22},
  {"id":"W2","from":"N4","to":"N6","gauge":18},
  {"id":"W3","from":"N4","to":"N5","gauge":20},
  {"id":"W4","from":"N6","to":"N5","gauge":12},
  {"id":"W5","from":"N5","to":"N4","gauge":22},
  {"id":"W6","from":"N6","to":"N4","gauge":20},
  {"id":"W7","from":"N4","to":"N6","gauge":12},
  {"id":"W8","from":"N4","to":"N6","gauge":24}
]

Output format (JSON, exactly these keys):
```json
{
 "branches": [
  {
   "id": "B1",
   "wires": 7,
   "diameterMm": 6.42
  }
 ]
}
```

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