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 midspan tip-only under the same load, and not a cantilever. ≤2 ULP vs O3 applies only to the published tabulated beam-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 9622884c676e01c5de002ca69a01e57c16c2de64aae08b5e11d192ee5cfe54a0. 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":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":64,"c":2,"P":48,"x":2,"L":4,"E":1,"I":1} | {"model":"beam_deflection_at","P":48,"x":2,"c":2,"L":4,"E":1,"I":1,"delta":64,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","x":"2","L":"4","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.0006666666666666666,"c":2,"P":1000,"x":2,"L":4,"E":200000000000,"I":0.00001} | {"model":"beam_deflection_at","P":1000,"x":2,"c":2,"L":4,"E":200000000000,"I":0.00001,"delta":0.0006666666666666665,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"4","modulus":"1","Ix":"1","x":"2"} | {"oracle_layer":"analytic","delta":128,"c":2,"P":96,"x":2,"L":4,"E":1,"I":1} | {"model":"beam_deflection_at","P":96,"x":2,"c":2,"L":4,"E":1,"I":1,"delta":128,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","x":"1.2","L":"4","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00008300172117039588,"c":1.2,"P":13.7,"x":1.2,"L":4,"E":210000,"I":0.83} | {"model":"beam_deflection_at","P":13.7,"x":1.2,"c":1.2,"L":4,"E":210000,"I":0.83,"delta":0.00008300172117039586,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 1 | PASS |
o3-neg | signed | {"P":"-48","x":"2","L":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-64,"c":2,"P":-48,"x":2,"L":4,"E":1,"I":1} | {"model":"beam_deflection_at","P":-48,"x":2,"c":2,"L":4,"E":1,"I":1,"delta":-64,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 0 | PASS |
o3-small | small | {"P":"10","x":"0.5","L":"4","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.4895833333333333,"c":0.5,"P":10,"x":0.5,"L":4,"E":1000,"I":0.01} | {"model":"beam_deflection_at","P":10,"x":0.5,"c":0.5,"L":4,"E":1000,"I":0.01,"delta":0.4895833333333333,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","x":"2","L":"4","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000015873015873015872,"c":2,"P":500,"x":2,"L":4,"E":210000000000,"I":0.0002} | {"model":"beam_deflection_at","P":500,"x":2,"c":2,"L":4,"E":210000000000,"I":0.0002,"delta":0.000015873015873015872,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 0 | PASS |
o3-long | long | {"P":"200","x":"2","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00007619047619047618,"c":2,"P":200,"x":2,"L":4,"E":70000000000,"I":0.00005} | {"model":"beam_deflection_at","P":200,"x":2,"c":2,"L":4,"E":70000000000,"I":0.00005,"delta":0.00007619047619047618,"solver":"simply supported midspan load at a station","convention":"Simply supported span with one concentrated load at midspan. Deflection at station x is δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from x to the nearer support. Positive P is the positive deflection direction. I is an input. x = L/2 is the midspan point-load page."} | 0 | PASS |
