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 δ under the load, not max |δ|, and not a cantilever. ≤2 ULP vs O3 applies only to the published tabulated offset-load-midspan 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 c25d68386eb46c71f2b5e077b02de26a9f32941ae0f780c0ea0934a78de2f987. 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":44,"c":1,"P":48,"a":1,"L":4,"E":1,"I":1} | {"model":"offset_load_midspan_deflection","P":48,"a":1,"c":1,"L":4,"E":1,"I":1,"delta":44,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","a":"1","L":"4","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.0004583333333333333,"c":1,"P":1000,"a":1,"L":4,"E":200000000000,"I":0.00001} | {"model":"offset_load_midspan_deflection","P":1000,"a":1,"c":1,"L":4,"E":200000000000,"I":0.00001,"delta":0.00045833333333333327,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"4","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":88,"c":1,"P":96,"a":1,"L":4,"E":1,"I":1} | {"model":"offset_load_midspan_deflection","P":96,"a":1,"c":1,"L":4,"E":1,"I":1,"delta":88,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"1.2","L":"4","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00008300172117039588,"c":1.2,"P":13.7,"a":1.2,"L":4,"E":210000,"I":0.83} | {"model":"offset_load_midspan_deflection","P":13.7,"a":1.2,"c":1.2,"L":4,"E":210000,"I":0.83,"delta":0.00008300172117039586,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 1 | PASS |
o3-neg | signed | {"P":"-48","a":"1","L":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-44,"c":1,"P":-48,"a":1,"L":4,"E":1,"I":1} | {"model":"offset_load_midspan_deflection","P":-48,"a":1,"c":1,"L":4,"E":1,"I":1,"delta":-44,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","L":"4","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.4895833333333333,"c":0.5,"P":10,"a":0.5,"L":4,"E":1000,"I":0.01} | {"model":"offset_load_midspan_deflection","P":10,"a":0.5,"c":0.5,"L":4,"E":1000,"I":0.01,"delta":0.4895833333333333,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","L":"4","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000010912698412698412,"c":1,"P":500,"a":1,"L":4,"E":210000000000,"I":0.0002} | {"model":"offset_load_midspan_deflection","P":500,"a":1,"c":1,"L":4,"E":210000000000,"I":0.0002,"delta":0.000010912698412698412,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 0 | PASS |
o3-long | long | {"P":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00005238095238095238,"c":1,"P":200,"a":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"offset_load_midspan_deflection","P":200,"a":1,"c":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.00005238095238095238,"solver":"simply supported offset load at midspan","convention":"Simply supported span with one concentrated load at distance a from the left support. Midspan δ = P c (3 L² − 4 c²)/(48 E I), where c is the distance from the load to the nearer support. Positive P is the positive deflection direction. I is an input. a = L/2 recovers the midspan point-load page. The value under the load is its own page."} | 0 | PASS |
