{
  "function": "x*x*sin(x)+exp(x)",
  "x": 0.5,
  "scalar_seed_runs": [
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  "nested_multiply_x3_at2_derivative": 12,
  "constant_times_input_plus4_derivative": 3,
  "rejected": [
    "nonfinite",
    "bool",
    "overflow_profile",
    "exp_domain",
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  "limits": "one scalar tangent, only add/multiply/sin/exp, no abs at zero derivative claim, no branch/full Jacobian/reverse autograd/Julia execution; h is absent from Dual propagation"
}