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 single offset load, not a cantilever, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated paired-load-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 d81fdc8d77bc81d3b6bcf676ce31207614575713d72e457df9794b65c9045901. 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","L":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":88,"P":48,"a":1,"L":4,"E":1,"I":1} | {"model":"paired_load_deflection","P":48,"a":1,"L":4,"E":1,"I":1,"delta":88,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","L":"4","E":"200e9","I":"1e-5","a":"1"} | {"oracle_layer":"analytic","delta":0.0009166666666666666,"P":1000,"a":1,"L":4,"E":200000000000,"I":0.00001} | {"model":"paired_load_deflection","P":1000,"a":1,"L":4,"E":200000000000,"I":0.00001,"delta":0.0009166666666666665,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"4","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":176,"P":96,"a":1,"L":4,"E":1,"I":1} | {"model":"paired_load_deflection","P":96,"a":1,"L":4,"E":1,"I":1,"delta":176,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"1.2","L":"4","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00016600344234079175,"P":13.7,"a":1.2,"L":4,"E":210000,"I":0.83} | {"model":"paired_load_deflection","P":13.7,"a":1.2,"L":4,"E":210000,"I":0.83,"delta":0.00016600344234079172,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 1 | PASS |
o3-neg | signed | {"P":"-48","a":"1","L":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-88,"P":-48,"a":1,"L":4,"E":1,"I":1} | {"model":"paired_load_deflection","P":-48,"a":1,"L":4,"E":1,"I":1,"delta":-88,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","L":"4","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.9791666666666666,"P":10,"a":0.5,"L":4,"E":1000,"I":0.01} | {"model":"paired_load_deflection","P":10,"a":0.5,"L":4,"E":1000,"I":0.01,"delta":0.9791666666666666,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","L":"4","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000021825396825396824,"P":500,"a":1,"L":4,"E":210000000000,"I":0.0002} | {"model":"paired_load_deflection","P":500,"a":1,"L":4,"E":210000000000,"I":0.0002,"delta":0.000021825396825396824,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 0 | PASS |
o3-long | long | {"P":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00010476190476190476,"P":200,"a":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"paired_load_deflection","P":200,"a":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.00010476190476190476,"solver":"simply supported paired loads","convention":"Simply supported span with two equal loads P, each at distance a from the nearer support. Midspan δ = P a (3 L² − 4 a²)/(24 E I). Positive P is the positive deflection direction. I is an input. a = L/2 places both loads at midspan, equal to one load of 2P on the beam-deflection page."} | 0 | PASS |
