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 overhang load, and not the span station curve. ≤2 ULP vs O3 applies only to the published tabulated overhang-arm-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 8b7db61dbf6b2a78301f4c76ac8872beb33a62650d1b9475b99c4fcc097b249d. 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","a":"1","z":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":48,"P":48,"a":1,"z":1,"L":2,"E":1,"I":1} | {"model":"overhang_arm_at_deflection","P":48,"a":1,"z":1,"L":2,"E":1,"I":1,"delta":48,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","a":"1","z":"1","L":"2","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.0005,"P":1000,"a":1,"z":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"overhang_arm_at_deflection","P":1000,"a":1,"z":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.0004999999999999999,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"2","modulus":"1","Ix":"1","overhang":"1","z":"1"} | {"oracle_layer":"analytic","delta":96,"P":96,"a":1,"z":1,"L":2,"E":1,"I":1} | {"model":"overhang_arm_at_deflection","P":96,"a":1,"z":1,"L":2,"E":1,"I":1,"delta":96,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"1.2","z":"0.8","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00007377930770701856,"P":13.7,"a":1.2,"z":0.8,"L":2,"E":210000,"I":0.83} | {"model":"overhang_arm_at_deflection","P":13.7,"a":1.2,"z":0.8,"L":2,"E":210000,"I":0.83,"delta":0.00007377930770701856,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 0 | PASS |
o3-neg | signed | {"P":"-48","a":"1","z":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-48,"P":-48,"a":1,"z":1,"L":2,"E":1,"I":1} | {"model":"overhang_arm_at_deflection","P":-48,"a":1,"z":1,"L":2,"E":1,"I":1,"delta":-48,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","z":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.20833333333333334,"P":10,"a":0.5,"z":0.5,"L":2,"E":1000,"I":0.01} | {"model":"overhang_arm_at_deflection","P":10,"a":0.5,"z":0.5,"L":2,"E":1000,"I":0.01,"delta":0.20833333333333331,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 1 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","z":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000011904761904761905,"P":500,"a":1,"z":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"overhang_arm_at_deflection","P":500,"a":1,"z":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.000011904761904761903,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 1 | PASS |
o3-long | long | {"P":"200","a":"1","z":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00009523809523809524,"P":200,"a":1,"z":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"overhang_arm_at_deflection","P":200,"a":1,"z":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.00009523809523809523,"solver":"overhang arm at a station","convention":"z is measured from the right support out to the load. δ = P a L z/(3 E I) + P z² (3a − z)/(6 E I). z = a is the load page."} | 1 | PASS |
