# UTFANSWF v22 — BAO Common/Split Projection Operator

**Context:** DIAGNOSTIC_NON_GATING

## Decomposition

| Quantity | Value |
|---|---:|
| r_H | 0.447459 |
| r_D_M | 0.000000 |
| r_common | 0.223729 |
| r_split | 0.223729 |
| lambda_split | 0.000000 |

## Residual transformation

| Node | Before | After |
|---|---:|---:|
| r_ell_A | 3.142651 | 3.142651 |
| r_H_BAO | 0.447459 | 0.223729 |
| r_D_M_BAO | 0.000000 | 0.223729 |
| r_SN | -2.450746 | -2.450746 |
| r_SH0ES | -4.154173 | -4.154173 |

## Metrics

| Quantity | Value |
|---|---:|
| RSS before | 5.774061 |
| RSS after | 5.765386 |
| RSS improvement | 0.008675 |
| chi2 before | 33.339784 |
| chi2 after | 33.239674 |
| chi2 improvement | 0.100110 |

## Tests

- common_mode_preserved: True
- split_mode_neutralized: True
- rss_improves: True
- chi2_improves: True

Score: 4/4
Verdict: BAO_common_split_operator_supported
