# UTFANSWF v21 — Capped Second Operator Test

## Operator

| Quantity | Value |
|---|---:|
| desired b2 from SN pivot | 2.450746 |
| early/radial cap | 0.447459 |
| applied b2 | 0.447459 |

## Residual transformation

| Node | Before | After | Before sign | After sign |
|---|---:|---:|---:|---:|
| r_ell_A | 3.142651 | 2.695192 | + | + |
| r_H_BAO | 0.447459 | 0.000000 | + | 0 |
| r_D_M_BAO | 0.000000 | 0.000000 | 0 | 0 |
| r_SN | -2.450746 | -2.003288 | - | - |
| r_SH0ES | -4.154173 | -3.706714 | - | - |

## Metrics

| Quantity | Value |
|---|---:|
| RSS before | 5.774061 |
| RSS after | 5.001695 |
| RSS improvement | 0.772367 |
| chi2 before | 33.339784 |
| chi2 after | 25.016950 |
| chi2 improvement | 8.322834 |

## Tests

- desired_anchor_is_SN: True
- cap_is_weakest_early_radial_node: True
- no_forbidden_flip: True
- BAO_H_saturates_to_zero: True
- rss_improves: True
- chi2_improves: True

Score: 6/6
Verdict: capped_second_operator_supported
