---

name: rectified_ode_reflow description: Simulate rectified-flow Euler transport and compute straightness, reflow, and convex transport diagnostics.

Rectified ODE Reflow

Use this skill when a learned rectified-flow velocity field must be integrated or audited for straightness. Do not use it to fit the velocity field.

Inputs

• Initial samples z0.
• Affine velocity parameters compatible with rectified_velocity_regression.
• Euler step count.

Outputs

• Final transported samples.
• Path length and direct endpoint distance.
• Straightness ratio and squared transport cost.

Workflow

1. Integrate z <- z + dt * v(z,t) using Euler steps.
2. Accumulate segment lengths for each sample.
3. Compare accumulated path length with direct endpoint distance.
4. Report one-step and multi-step diagnostics for reduced recovery.

Validation

Run python tests/test_ode.py or the Distiller validator with tests enabled.

Limitations

The script checks the ODE/reflow mechanism on numeric vectors. Full image quality metrics require a separate heavy runtime that is outside this bounded reduced recovery.