> ## Documentation Index
> Fetch the complete documentation index at: https://offthepace.mintlify.site/llms.txt
> Use this file to discover all available pages before exploring further.

# int_lap_normalized_pace

> Phase C: lap pace with the dirty-air cost removed, so laps run in traffic stay usable for wear/cliff fitting instead of being discarded.

<Note>Part of the [Physics](/transform/families/physics) family.</Note>

Phase C: lap pace with the dirty-air cost removed, so laps run in traffic stay usable for wear/cliff fitting instead of being discarded. normalized\_pace\_s = lap\_time\_s - theta\_time \* time\_in\_dirty\_air\_s, with theta\_time calibrated on clean, dry, valid laps and applied to the full lap sequence. Neither a tow term nor a fixed in-traffic step is applied; both were measured against the phase's acceptance metric and made it worse (see the model header for the numbers). One row per lap carried by int\_lap\_air\_state. Deliberately a graph leaf, consumed only by the offline cliff solver: feeding normalized pace into the ratings/residual chain would double-count the dirty-air component already modelled in int\_lap\_residual\_decomposed.

## Lineage

```mermaid theme={null}
flowchart LR
  int_event_corrections --> int_lap_normalized_pace
  int_field_pace_curve --> int_lap_normalized_pace
  int_lap_air_state --> int_lap_normalized_pace
  int_lap_fuel_state --> int_lap_normalized_pace
  int_track_evolution --> int_lap_normalized_pace
  stg_laps --> int_lap_normalized_pace
  style int_lap_normalized_pace fill:#e40404,stroke:#e40404,color:#fff
```

## Overview

| Property          | Value                                                                                                                                                                                                                                                                         |
| ----------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| Layer             | `intermediate`                                                                                                                                                                                                                                                                |
| Family            | [Physics](/transform/families/physics)                                                                                                                                                                                                                                        |
| Contract enforced | No                                                                                                                                                                                                                                                                            |
| Tags              | `causal_decomposition`, `dirty_air`                                                                                                                                                                                                                                           |
| Upstream          | [`int_lap_air_state`](./int_lap_air_state), [`stg_laps`](../stg/stg_laps), [`int_lap_fuel_state`](./int_lap_fuel_state), [`int_field_pace_curve`](./int_field_pace_curve), [`int_event_corrections`](./int_event_corrections), [`int_track_evolution`](./int_track_evolution) |

**6 tests** [guard](/transform/ci/overview) this model  -  6 generic, 0 singular.

## Columns

| Column                | Type | Nullable | Tests                                                                                                                                          | Description                                                                                                                                                                   |
| --------------------- | ---- | -------- | ---------------------------------------------------------------------------------------------------------------------------------------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| `lap_id`              |      | Yes      | [`not_null`](/transform/ci/structural), [`unique`](/transform/ci/structural)                                                                   | Foreign key to stg\_laps                                                                                                                                                      |
| `normalized_pace_s`   |      | Yes      | [`expect_column_values_to_be_between`](/transform/ci/range-and-domain), [`expect_column_values_to_be_between`](/transform/ci/range-and-domain) | Lap time net of the dirty-air penalty. Null only where lap\_time\_s itself is null (untimed lap); the solver filters those out rather than having a pace fabricated for them. |
| `dirty_air_penalty_s` |      | Yes      | [`not_null`](/transform/ci/structural), [`expect_column_values_to_be_between`](/transform/ci/range-and-domain)                                 | theta\_time \* time\_in\_dirty\_air\_s, bounded \[0, 5.0] (same clamp as int\_dirty\_air\_tax\_component's dirty\_air\_tax\_s). Zero on clean-air laps by construction.       |