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 span midspan under the same load, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated overhang-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 5303c7cb7e3074766c9773ad8e30a9134685bd1f50bade98023f9cbc8f923bc5. 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":"3","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":3,"P":3,"a":1,"L":2,"E":1,"I":1} | {"model":"overhang_deflection","P":3,"a":1,"L":2,"E":1,"I":1,"delta":3,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","a":"1","L":"2","E":"200e9","I":"1e-5"} | {"oracle_layer":"analytic","delta":0.0005,"P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"overhang_deflection","P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.0004999999999999999,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 1 | PASS |
o3-alias | alias | {"load":"6","span":"2","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":6,"P":6,"a":1,"L":2,"E":1,"I":1} | {"model":"overhang_deflection","P":6,"a":1,"L":2,"E":1,"I":1,"delta":6,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"1.2","L":"3.5","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00017732185886402754,"P":13.7,"a":1.2,"L":3.5,"E":210000,"I":0.83} | {"model":"overhang_deflection","P":13.7,"a":1.2,"L":3.5,"E":210000,"I":0.83,"delta":0.00017732185886402754,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |
o3-neg | signed | {"P":"-3","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-3,"P":-3,"a":1,"L":2,"E":1,"I":1} | {"model":"overhang_deflection","P":-3,"a":1,"L":2,"E":1,"I":1,"delta":-3,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","L":"1","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.125,"P":10,"a":0.5,"L":1,"E":1000,"I":0.01} | {"model":"overhang_deflection","P":10,"a":0.5,"L":1,"E":1000,"I":0.01,"delta":0.125,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","L":"1.5","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.00000992063492063492,"P":500,"a":1,"L":1.5,"E":210000000000,"I":0.0002} | {"model":"overhang_deflection","P":500,"a":1,"L":1.5,"E":210000000000,"I":0.0002,"delta":0.00000992063492063492,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |
o3-long | long | {"P":"200","a":"1.5","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.0002357142857142857,"P":200,"a":1.5,"L":4,"E":70000000000,"I":0.00005} | {"model":"overhang_deflection","P":200,"a":1.5,"L":4,"E":70000000000,"I":0.00005,"delta":0.0002357142857142857,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."} | 0 | PASS |