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Backward dense interpolation interprets
leftin the solver's internal time direction, so it selects the opposite side of a knot. This gives the wrong one-sided derivative from bothSolution.derivative()and differentiatingSolution.evaluate().Reverse the side selection for backward solves. The regression tests cover both time directions, float32/float64, PyTree outputs and JIT/vmap.
Validation: the complete CPU test collection passed in isolated runs, and the strict docs build passed. Local Pyright diagnostics match the unchanged base.