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 wall-peak triangle, not a simply supported span, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated cantilever-triangular-tip 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 8fc5574cdf4d33acb83eaf65747eba72fff76f3c68f2599b538050f150a669bf. 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":"120","L":"1","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":11,"w0":120,"L":1,"E":1,"I":1} | {"model":"cantilever_triangular_tip_deflection","w0":120,"L":1,"E":1,"I":1,"delta":11,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 0 | PASS |
o3-SI | SI | {"w0":"1000","L":"2","E":"200e9","I":"1e-5"} | {"oracle_layer":"analytic","delta":0.0007333333333333333,"w0":1000,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_triangular_tip_deflection","w0":1000,"L":2,"E":200000000000,"I":0.00001,"delta":0.0007333333333333332,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 1 | PASS |
o3-alias | alias | {"w":"240","span":"1","modulus":"1","Ix":"1"} | {"oracle_layer":"analytic","delta":22,"w0":240,"L":1,"E":1,"I":1} | {"model":"cantilever_triangular_tip_deflection","w0":240,"L":1,"E":1,"I":1,"delta":22,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 0 | PASS |
o3-awkward | awkward | {"w0":"13.7","L":"3.5","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.001081201890896921,"w0":13.7,"L":3.5,"E":210000,"I":0.83} | {"model":"cantilever_triangular_tip_deflection","w0":13.7,"L":3.5,"E":210000,"I":0.83,"delta":0.0010812018908969209,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 1 | PASS |
o3-neg | signed | {"w0":"-120","L":"1","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-11,"w0":-120,"L":1,"E":1,"I":1} | {"model":"cantilever_triangular_tip_deflection","w0":-120,"L":1,"E":1,"I":1,"delta":-11,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 0 | PASS |
o3-small | small | {"w0":"10","L":"1","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.09166666666666666,"w0":10,"L":1,"E":1000,"I":0.01} | {"model":"cantilever_triangular_tip_deflection","w0":10,"L":1,"E":1000,"I":0.01,"delta":0.09166666666666666,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 0 | PASS |
o3-stiff | stiff | {"w0":"500","L":"1.5","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000005524553571428571,"w0":500,"L":1.5,"E":210000000000,"I":0.0002} | {"model":"cantilever_triangular_tip_deflection","w0":500,"L":1.5,"E":210000000000,"I":0.0002,"delta":0.000005524553571428571,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 0 | PASS |
o3-long | long | {"w0":"200","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.001340952380952381,"w0":200,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_triangular_tip_deflection","w0":200,"L":4,"E":70000000000,"I":0.00005,"delta":0.001340952380952381,"solver":"cantilever triangular load peaking at the tip","convention":"Cantilever fixed at one end. Intensity is 0 at the fixed end and w0 at the free end. Tip δ = 11 w0 L⁴/(120 E I). Positive w0 is the positive deflection direction. I is an input. A triangle that peaks at the wall is its own page."} | 0 | PASS |
