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-peak triangle, not a simply supported span, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated cantilever-triangular-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 4394ce63224ad470dc6050e5babb27b645ac904d8466137a0aa1dbd43ba53a65. 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 | {"w0":"30","L":"1","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":1,"w0":30,"L":1,"E":1,"I":1} | {"model":"cantilever_triangular_deflection","w0":30,"L":1,"E":1,"I":1,"delta":1,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 0 | PASS |
o3-SI | SI | {"w0":"1000","L":"2","E":"200e9","I":"1e-5"} | {"oracle_layer":"analytic","delta":0.0002666666666666667,"w0":1000,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_triangular_deflection","w0":1000,"L":2,"E":200000000000,"I":0.00001,"delta":0.0002666666666666666,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 1 | PASS |
o3-alias | alias | {"w":"60","span":"1","modulus":"1","Ix":"1"} | {"oracle_layer":"analytic","delta":2,"w0":60,"L":1,"E":1,"I":1} | {"model":"cantilever_triangular_deflection","w0":60,"L":1,"E":1,"I":1,"delta":2,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 0 | PASS |
o3-awkward | awkward | {"w0":"13.7","L":"3.5","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00039316432396251674,"w0":13.7,"L":3.5,"E":210000,"I":0.83} | {"model":"cantilever_triangular_deflection","w0":13.7,"L":3.5,"E":210000,"I":0.83,"delta":0.0003931643239625167,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 1 | PASS |
o3-neg | signed | {"w0":"-30","L":"1","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-1,"w0":-30,"L":1,"E":1,"I":1} | {"model":"cantilever_triangular_deflection","w0":-30,"L":1,"E":1,"I":1,"delta":-1,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 0 | PASS |
o3-small | small | {"w0":"10","L":"1","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.03333333333333333,"w0":10,"L":1,"E":1000,"I":0.01} | {"model":"cantilever_triangular_deflection","w0":10,"L":1,"E":1000,"I":0.01,"delta":0.03333333333333333,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 0 | PASS |
o3-stiff | stiff | {"w0":"500","L":"1.5","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.0000020089285714285715,"w0":500,"L":1.5,"E":210000000000,"I":0.0002} | {"model":"cantilever_triangular_deflection","w0":500,"L":1.5,"E":210000000000,"I":0.0002,"delta":0.0000020089285714285715,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 0 | PASS |
o3-long | long | {"w0":"200","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.0004876190476190476,"w0":200,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_triangular_deflection","w0":200,"L":4,"E":70000000000,"I":0.00005,"delta":0.0004876190476190476,"solver":"cantilever triangular load peaking at the wall","convention":"Cantilever fixed at one end. Intensity is w0 at the fixed end and 0 at the free end. Tip δ = w0 L⁴/(30 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the free end is its own page."} | 0 | PASS |
