CVP reproduce
Independent re-run pack: fixed input vectors, O3 expected values, oracle version, commands, and the last result summary. This is how a reader moves from “CalculatorX says it passed” to “I can reproduce why it passed.”
Calculation version, protocol version, and evidence revision are distinct.
O3 PASS is a tabulated-vector claim, not a whole-domain proof.
O2: delta vs a separate-module identity (≤2 ULP). Not a full-span uniform cantilever, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-outer-uniform vectors.
Regenerate the table from the public generator. Independent REST check needs only this page's reproduce.json plus stdlib Python — no repo clone and no mpmath. The CVP runner remains a maintainer command.
Re-running the generator without changing seed or inputs should reproduce table SHA-256 121c828766a31ceb76c7a537137ca0ec3635f271ca5143991f5b0248e18cb913. Compare each expected_f64 to the production result within the declared ULP threshold.
Every O3 vector used for the ≤2 ULP claim. Expected values come from the published mpmath table, not from the implementation under test.
| ID | Kind | Inputs | Expected (f64) | Actual | ULP | Status |
|---|---|---|---|---|---|---|
o3-check | check | {"w":"24","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":41,"w":24,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_outer_uniform_deflection","w":24,"a":1,"L":2,"E":1,"I":1,"delta":41,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 0 | PASS |
o3-SI | SI | {"w":"1000","a":"1","L":"2","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.0008541666666666667,"w":1000,"a":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_outer_uniform_deflection","w":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.0008541666666666665,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 2 | PASS |
o3-alias | alias | {"intensity":"48","span":"2","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":82,"w":48,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_outer_uniform_deflection","w":48,"a":1,"L":2,"E":1,"I":1,"delta":82,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 0 | PASS |
o3-awkward | awkward | {"w":"13.7","a":"1.2","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.0001187176133103844,"w":13.7,"a":1.2,"L":2,"E":210000,"I":0.83} | {"model":"cantilever_outer_uniform_deflection","w":13.7,"a":1.2,"L":2,"E":210000,"I":0.83,"delta":0.00011871761331038438,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 1 | PASS |
o3-neg | signed | {"w":"-24","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-41,"w":-24,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_outer_uniform_deflection","w":-24,"a":1,"L":2,"E":1,"I":1,"delta":-41,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 0 | PASS |
o3-small | small | {"w":"10","a":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":1.9609375,"w":10,"a":0.5,"L":2,"E":1000,"I":0.01} | {"model":"cantilever_outer_uniform_deflection","w":10,"a":0.5,"L":2,"E":1000,"I":0.01,"delta":1.9609375,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 0 | PASS |
o3-stiff | stiff | {"w":"500","a":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.00002033730158730159,"w":500,"a":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"cantilever_outer_uniform_deflection","w":500,"a":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.00002033730158730159,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 0 | PASS |
o3-long | long | {"w":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.001792857142857143,"w":200,"a":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_outer_uniform_deflection","w":200,"a":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.001792857142857143,"solver":"cantilever outer uniform load","convention":"Cantilever fixed at one end. Intensity is zero from the fixed end to distance a, then uniform w to the free end. Tip δ = w [3 L⁴ − a³ (4L − a)]/(24 E I). Positive w is the positive deflection direction. I is an input. a = 0 is the full uniform-load page."} | 0 | PASS |
