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-only under the same tip load, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-deflection-at 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 420e40ce7868dbce6742cf07ea5b6be7e64619291dcb4995c33062511b020b5a. 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 | {"P":"48","x":"2","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":128,"P":48,"x":2,"L":2,"E":1,"I":1} | {"model":"cantilever_deflection_at","P":48,"x":2,"L":2,"E":1,"I":1,"delta":128,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","x":"2","L":"2","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.0013333333333333333,"P":1000,"x":2,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_deflection_at","P":1000,"x":2,"L":2,"E":200000000000,"I":0.00001,"delta":0.001333333333333333,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"2","modulus":"1","Ix":"1","x":"2"} | {"oracle_layer":"analytic","delta":256,"P":96,"x":2,"L":2,"E":1,"I":1} | {"model":"cantilever_deflection_at","P":96,"x":2,"L":2,"E":1,"I":1,"delta":256,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","x":"1.2","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00009054733218588641,"P":13.7,"x":1.2,"L":2,"E":210000,"I":0.83} | {"model":"cantilever_deflection_at","P":13.7,"x":1.2,"L":2,"E":210000,"I":0.83,"delta":0.0000905473321858864,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 1 | PASS |
o3-neg | signed | {"P":"-48","x":"2","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-128,"P":-48,"x":2,"L":2,"E":1,"I":1} | {"model":"cantilever_deflection_at","P":-48,"x":2,"L":2,"E":1,"I":1,"delta":-128,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 0 | PASS |
o3-small | small | {"P":"10","x":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.22916666666666666,"P":10,"x":0.5,"L":2,"E":1000,"I":0.01} | {"model":"cantilever_deflection_at","P":10,"x":0.5,"L":2,"E":1000,"I":0.01,"delta":0.22916666666666666,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","x":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.00000992063492063492,"P":500,"x":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"cantilever_deflection_at","P":500,"x":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.00000992063492063492,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 0 | PASS |
o3-long | long | {"P":"200","x":"2","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00038095238095238096,"P":200,"x":2,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_deflection_at","P":200,"x":2,"L":4,"E":70000000000,"I":0.00005,"delta":0.00038095238095238096,"solver":"cantilever tip load at a station","convention":"Cantilever fixed at one end with one concentrated load at the free end. Deflection at distance x from the fixed end is δ = P x² (3L − x)/(6 E I). Positive P is the positive deflection direction. I is an input. x = L is the tip-load page."} | 0 | PASS |
