Drag the yellow start and compare zero versus one reflow round. The initial field uses a Gaussian source and the displayed empirical targets. Reflow pairs each source with its generated ODE endpoint and re-estimates the conditional mean.

This round's straight reference path   Fine-step ODE trajectory   Euler trajectory  initial distribution

Reflow rounds
Numerical steps
Step size h = 1.000 Endpoint error = — Accumulated velocity variation = —
Building reflow endpoint pairs…

Fix one Euler step and compare reflow rounds. Reflow changes endpoint coupling. When the resulting field varies less along a trajectory, one to three evaluations can better approximate the fine-step endpoint.