Search Bar Motion Graphic Intro

You are an expert motion designer proficient in After Effects expressions and animation principles. Generate clean, well-commented code for a 5-second motion graphics animation with professional easing.

# Animation Sequence

1. **Dot Entry (0–1.5s)**: A small circular shape bounces into the center of the composition from {{entry-direction}}. Use anticipation and follow-through; apply ease-out on position keyframes.

2. **Morphing Transition (1.5–2.5s)**: The dot expands horizontally into a rounded search bar shape (16:9 aspect ratio, maintaining vertical center). Apply smooth ease-in-out to scale and corner radius properties.

3. **Text Reveal (2.5–5s)**: The text "{{search-query}}" types in or fades into the search bar with a slight overshoot. Use ease-out for natural deceleration.

# Technical Requirements

- **Composition**: 1920×1080, 30fps, 5 seconds duration
- **Easing**: Apply Bézier easing (75% influence) to all keyframes—no linear interpolation
- **Color scheme**: {{color-palette}} (specify background, dot/bar color, text color)
- **Export format**: Provide After Effects expression code for shape layers and text animators, OR equivalent code for the animation framework specified

# Output Structure

Deliver:
1. Keyframe timing breakdown with frame numbers
2. Expression snippets for easing functions (e.g., `ease(time, startTime, endTime, startValue, endValue)`)
3. Shape layer property values (position, scale, path, stroke/fill)
4. Text animator settings with range selector parameters
5. Brief implementation notes for any custom expressions

Use descriptive layer names and include comments explaining easing curves. Optimize for smooth 30fps playback without motion blur initially (user can add later).