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The failing test probed t=5.1, which sits inside the reshaped transition segment between the new edge (t=5) and the existing point (t=6). When growing past an existing breakpoint, the transition TO that point legitimately reshapes — the edge moved (t=3→t=5) even though the far point (t=6) did not. The real guarantee: all BREAKPOINTS strictly outside the union keep exact (t, v) values. Corrected test to: 1. Verify sample continuity on unaffected side: t=[0,1,1.9] 2. Verify the breakpoint at t=6 keeps exact value: (t:6, v:0) Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>