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 tip δ under the same partial load, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-partial-deflection 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 70d13dcf44fe69a018b39dcced3453767cf76e2610756193cfbfa32598d86e18. 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":3,"w":24,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_partial_deflection","w":24,"a":1,"L":2,"E":1,"I":1,"delta":3,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 0 | PASS |
o3-SI | SI | {"w":"1000","a":"1","L":"2","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.0000625,"w":1000,"a":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_partial_deflection","w":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.00006249999999999999,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 1 | PASS |
o3-alias | alias | {"intensity":"48","span":"2","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":6,"w":48,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_partial_deflection","w":48,"a":1,"L":2,"E":1,"I":1,"delta":6,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 0 | PASS |
o3-awkward | awkward | {"w":"13.7","a":"1.2","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.000020373149741824442,"w":13.7,"a":1.2,"L":2,"E":210000,"I":0.83} | {"model":"cantilever_partial_deflection","w":13.7,"a":1.2,"L":2,"E":210000,"I":0.83,"delta":0.00002037314974182444,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 1 | PASS |
o3-neg | signed | {"w":"-24","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-3,"w":-24,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_partial_deflection","w":-24,"a":1,"L":2,"E":1,"I":1,"delta":-3,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 0 | PASS |
o3-small | small | {"w":"10","a":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.0078125,"w":10,"a":0.5,"L":2,"E":1000,"I":0.01} | {"model":"cantilever_partial_deflection","w":10,"a":0.5,"L":2,"E":1000,"I":0.01,"delta":0.0078125,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 0 | PASS |
o3-stiff | stiff | {"w":"500","a":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.0000014880952380952381,"w":500,"a":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"cantilever_partial_deflection","w":500,"a":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.0000014880952380952381,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 0 | PASS |
o3-long | long | {"w":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.000007142857142857143,"w":200,"a":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_partial_deflection","w":200,"a":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.000007142857142857143,"solver":"cantilever partial uniform load at the load end","convention":"Cantilever fixed at one end. Uniform intensity w runs from the fixed end to distance a, and is zero beyond a. The deflection at a is δ = w a⁴/(8 E I). Positive w is the positive deflection direction. I is an input. a = L is the full uniform-load page. The free-end deflection is its own page."} | 0 | PASS |
