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 the tip under the same load, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-intermediate-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 4d6124ef0b6ba3781a1747a1f5f52d142d94dd6e8dacb4f72082b9323a1ec126. 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":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":16,"P":48,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_intermediate_deflection","P":48,"a":1,"L":2,"E":1,"I":1,"delta":16,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","L":"2","E":"200e9","I":"1e-5","a":"1"} | {"oracle_layer":"analytic","delta":0.00016666666666666666,"P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_intermediate_deflection","P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.00016666666666666663,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"2","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":32,"P":96,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_intermediate_deflection","P":96,"a":1,"L":2,"E":1,"I":1,"delta":32,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"0.9","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.000019099827882960412,"P":13.7,"a":0.9,"L":2,"E":210000,"I":0.83} | {"model":"cantilever_intermediate_deflection","P":13.7,"a":0.9,"L":2,"E":210000,"I":0.83,"delta":0.000019099827882960412,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-neg | signed | {"P":"-48","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-16,"P":-48,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_intermediate_deflection","P":-48,"a":1,"L":2,"E":1,"I":1,"delta":-16,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.041666666666666664,"P":10,"a":0.5,"L":2,"E":1000,"I":0.01} | {"model":"cantilever_intermediate_deflection","P":10,"a":0.5,"L":2,"E":1000,"I":0.01,"delta":0.041666666666666664,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000003968253968253968,"P":500,"a":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"cantilever_intermediate_deflection","P":500,"a":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.000003968253968253968,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-long | long | {"P":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.000019047619047619046,"P":200,"a":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_intermediate_deflection","P":200,"a":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.000019047619047619046,"solver":"cantilever intermediate load","convention":"Cantilever fixed at one end with one concentrated load at distance a from the fixed end. The deflection at the load is δ = P a³/(3 E I). Positive P is the positive deflection direction. I is an input. a = L is the tip-load page. The free-end deflection when a < L is its own page."} | 0 | PASS |
