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 under the same overhang load, and not the overhang-arm curve. ≤2 ULP vs O3 applies only to the published tabulated overhang-span-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 d27dc52ba2cf696e8f29b308439db847f1f50cffacdd1161d376390481554ba5. 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","x":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-12,"P":48,"a":1,"x":1,"L":2,"E":1,"I":1} | {"model":"overhang_span_at_deflection","P":48,"a":1,"x":1,"L":2,"E":1,"I":1,"delta":-12,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 0 | PASS |
o3-SI | SI | {"P":"1000","a":"1","x":"1","L":"2","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":-0.000125,"P":1000,"a":1,"x":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"overhang_span_at_deflection","P":1000,"a":1,"x":1,"L":2,"E":200000000000,"I":0.00001,"delta":-0.00012499999999999998,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"2","modulus":"1","Ix":"1","overhang":"1","x":"1"} | {"oracle_layer":"analytic","delta":-24,"P":96,"a":1,"x":1,"L":2,"E":1,"I":1} | {"model":"overhang_span_at_deflection","P":96,"a":1,"x":1,"L":2,"E":1,"I":1,"delta":-24,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"1.2","x":"0.8","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":-0.000021127710843373496,"P":13.7,"a":1.2,"x":0.8,"L":2,"E":210000,"I":0.83} | {"model":"overhang_span_at_deflection","P":13.7,"a":1.2,"x":0.8,"L":2,"E":210000,"I":0.83,"delta":-0.000021127710843373492,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 1 | PASS |
o3-neg | signed | {"P":"-48","a":"1","x":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":12,"P":-48,"a":1,"x":1,"L":2,"E":1,"I":1} | {"model":"overhang_span_at_deflection","P":-48,"a":1,"x":1,"L":2,"E":1,"I":1,"delta":12,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","x":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":-0.078125,"P":10,"a":0.5,"x":0.5,"L":2,"E":1000,"I":0.01} | {"model":"overhang_span_at_deflection","P":10,"a":0.5,"x":0.5,"L":2,"E":1000,"I":0.01,"delta":-0.078125,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","x":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":-0.0000029761904761904763,"P":500,"a":1,"x":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"overhang_span_at_deflection","P":500,"a":1,"x":1,"L":2,"E":210000000000,"I":0.0002,"delta":-0.0000029761904761904763,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 0 | PASS |
o3-long | long | {"P":"200","a":"1","x":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":-0.00003571428571428572,"P":200,"a":1,"x":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"overhang_span_at_deflection","P":200,"a":1,"x":1,"L":4,"E":70000000000,"I":0.00005,"delta":-0.00003571428571428572,"solver":"overhang span at a station","convention":"Span L with overhang a and load P at the overhang end. Station x is on the span. δ = −P a x (L² − x²)/(6 E I L). x = L/2 is the span-midspan page. Positive P downward on the overhang lifts the span."} | 0 | PASS |
