{ "artifact_id": "quad.replay-derivatives", "artifact_version": "1", "comparisons": [ { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.complex_payload.analytic_derivative_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.complex_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.complex_payload.frozen_formula_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.complex_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.complex_payload.primal_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.complex_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.invalid_input.finite_primal_flag.gate", "metric_id": "adaptive_clenshaw_curtis.invalid_input.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.invalid_input.status_mismatch.gate", "metric_id": "adaptive_clenshaw_curtis.invalid_input.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.nonfinite_integrand.finite_primal_flag.gate", "metric_id": "adaptive_clenshaw_curtis.nonfinite_integrand.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.nonfinite_integrand.status_mismatch.gate", "metric_id": "adaptive_clenshaw_curtis.nonfinite_integrand.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.smooth_parameter.analytic_derivative_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.smooth_parameter.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.smooth_parameter.frozen_formula_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.smooth_parameter.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.smooth_parameter.primal_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.smooth_parameter.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.vector_payload.analytic_derivative_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.vector_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.vector_payload.frozen_formula_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.vector_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_clenshaw_curtis.vector_payload.primal_relative_error.gate", "metric_id": "adaptive_clenshaw_curtis.vector_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.complex_payload.analytic_derivative_relative_error.gate", "metric_id": "adaptive_tanh_sinh.complex_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.complex_payload.frozen_formula_relative_error.gate", "metric_id": "adaptive_tanh_sinh.complex_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.complex_payload.primal_relative_error.gate", "metric_id": "adaptive_tanh_sinh.complex_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.endpoint_singularity.analytic_derivative_relative_error.gate", "metric_id": "adaptive_tanh_sinh.endpoint_singularity.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.endpoint_singularity.frozen_formula_relative_error.gate", "metric_id": "adaptive_tanh_sinh.endpoint_singularity.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.endpoint_singularity.primal_relative_error.gate", "metric_id": "adaptive_tanh_sinh.endpoint_singularity.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.improper_tail.analytic_derivative_relative_error.gate", "metric_id": "adaptive_tanh_sinh.improper_tail.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.improper_tail.frozen_formula_relative_error.gate", "metric_id": "adaptive_tanh_sinh.improper_tail.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.improper_tail.primal_relative_error.gate", "metric_id": "adaptive_tanh_sinh.improper_tail.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.invalid_input.finite_primal_flag.gate", "metric_id": "adaptive_tanh_sinh.invalid_input.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.invalid_input.status_mismatch.gate", "metric_id": "adaptive_tanh_sinh.invalid_input.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.nonfinite_integrand.finite_primal_flag.gate", "metric_id": "adaptive_tanh_sinh.nonfinite_integrand.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.nonfinite_integrand.status_mismatch.gate", "metric_id": "adaptive_tanh_sinh.nonfinite_integrand.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.semi_infinite_bound.left.analytic_derivative_absolute_error.gate", "metric_id": "adaptive_tanh_sinh.semi_infinite_bound.left.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.semi_infinite_bound.left.frozen_formula_absolute_error.gate", "metric_id": "adaptive_tanh_sinh.semi_infinite_bound.left.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.semi_infinite_bound.left.primal_absolute_error.gate", "metric_id": "adaptive_tanh_sinh.semi_infinite_bound.left.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.semi_infinite_bound.right.analytic_derivative_absolute_error.gate", "metric_id": "adaptive_tanh_sinh.semi_infinite_bound.right.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.semi_infinite_bound.right.frozen_formula_absolute_error.gate", "metric_id": "adaptive_tanh_sinh.semi_infinite_bound.right.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.semi_infinite_bound.right.primal_absolute_error.gate", "metric_id": "adaptive_tanh_sinh.semi_infinite_bound.right.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.smooth_parameter.analytic_derivative_relative_error.gate", "metric_id": "adaptive_tanh_sinh.smooth_parameter.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.smooth_parameter.frozen_formula_relative_error.gate", "metric_id": "adaptive_tanh_sinh.smooth_parameter.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.smooth_parameter.primal_relative_error.gate", "metric_id": "adaptive_tanh_sinh.smooth_parameter.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.vector_payload.analytic_derivative_relative_error.gate", "metric_id": "adaptive_tanh_sinh.vector_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.vector_payload.frozen_formula_relative_error.gate", "metric_id": "adaptive_tanh_sinh.vector_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "adaptive_tanh_sinh.vector_payload.primal_relative_error.gate", "metric_id": "adaptive_tanh_sinh.vector_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.coincident_bounds.analytic_derivative_absolute_error.gate", "metric_id": "gauss_kronrod.coincident_bounds.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.coincident_bounds.frozen_formula_absolute_error.gate", "metric_id": "gauss_kronrod.coincident_bounds.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.coincident_bounds.primal_absolute_error.gate", "metric_id": "gauss_kronrod.coincident_bounds.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.complex_payload.analytic_derivative_relative_error.gate", "metric_id": "gauss_kronrod.complex_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.complex_payload.frozen_formula_relative_error.gate", "metric_id": "gauss_kronrod.complex_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.complex_payload.primal_relative_error.gate", "metric_id": "gauss_kronrod.complex_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.exhausted_finite.analytic_derivative_relative_error.gate", "metric_id": "gauss_kronrod.exhausted_finite.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.exhausted_finite.expected_exhaustion_status_mismatch.gate", "metric_id": "gauss_kronrod.exhausted_finite.expected_exhaustion_status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.exhausted_finite.frozen_formula_relative_error.gate", "metric_id": "gauss_kronrod.exhausted_finite.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.exhausted_finite.primal_relative_error.gate", "metric_id": "gauss_kronrod.exhausted_finite.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.invalid_input.finite_primal_flag.gate", "metric_id": "gauss_kronrod.invalid_input.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.invalid_input.status_mismatch.gate", "metric_id": "gauss_kronrod.invalid_input.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.moving_bounds.analytic_derivative_absolute_error.gate", "metric_id": "gauss_kronrod.moving_bounds.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.moving_bounds.frozen_formula_absolute_error.gate", "metric_id": "gauss_kronrod.moving_bounds.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.moving_bounds.primal_absolute_error.gate", "metric_id": "gauss_kronrod.moving_bounds.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.nonfinite_integrand.finite_primal_flag.gate", "metric_id": "gauss_kronrod.nonfinite_integrand.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.nonfinite_integrand.status_mismatch.gate", "metric_id": "gauss_kronrod.nonfinite_integrand.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.quantity_rescaling.physical_derivative_absolute_error_cm2_per_cm.gate", "metric_id": "gauss_kronrod.quantity_rescaling.physical_derivative_absolute_error_cm2_per_cm", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "cm^2/cm" }, { "atol": 0.0, "identity": "gauss_kronrod.quantity_rescaling.physical_value_absolute_error_cm2.gate", "metric_id": "gauss_kronrod.quantity_rescaling.physical_value_absolute_error_cm2", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "cm^2" }, { "atol": 0.0, "identity": "gauss_kronrod.reversed_bounds.analytic_derivative_absolute_error.gate", "metric_id": "gauss_kronrod.reversed_bounds.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.reversed_bounds.frozen_formula_absolute_error.gate", "metric_id": "gauss_kronrod.reversed_bounds.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.reversed_bounds.primal_absolute_error.gate", "metric_id": "gauss_kronrod.reversed_bounds.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.smooth_parameter.analytic_derivative_relative_error.gate", "metric_id": "gauss_kronrod.smooth_parameter.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.smooth_parameter.frozen_formula_relative_error.gate", "metric_id": "gauss_kronrod.smooth_parameter.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.smooth_parameter.primal_relative_error.gate", "metric_id": "gauss_kronrod.smooth_parameter.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.vector_payload.analytic_derivative_relative_error.gate", "metric_id": "gauss_kronrod.vector_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.vector_payload.frozen_formula_relative_error.gate", "metric_id": "gauss_kronrod.vector_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.vector_payload.primal_relative_error.gate", "metric_id": "gauss_kronrod.vector_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.weighted_density.analytic_derivative_relative_error.gate", "metric_id": "gauss_kronrod.weighted_density.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.weighted_density.frozen_formula_relative_error.gate", "metric_id": "gauss_kronrod.weighted_density.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "gauss_kronrod.weighted_density.primal_relative_error.gate", "metric_id": "gauss_kronrod.weighted_density.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.complex_payload.analytic_derivative_relative_error.gate", "metric_id": "romberg.complex_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.complex_payload.frozen_formula_relative_error.gate", "metric_id": "romberg.complex_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.complex_payload.primal_relative_error.gate", "metric_id": "romberg.complex_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.invalid_input.finite_primal_flag.gate", "metric_id": "romberg.invalid_input.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.invalid_input.status_mismatch.gate", "metric_id": "romberg.invalid_input.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.nonfinite_integrand.finite_primal_flag.gate", "metric_id": "romberg.nonfinite_integrand.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.nonfinite_integrand.status_mismatch.gate", "metric_id": "romberg.nonfinite_integrand.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.smooth_parameter.analytic_derivative_relative_error.gate", "metric_id": "romberg.smooth_parameter.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.smooth_parameter.frozen_formula_relative_error.gate", "metric_id": "romberg.smooth_parameter.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.smooth_parameter.primal_relative_error.gate", "metric_id": "romberg.smooth_parameter.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.vector_payload.analytic_derivative_relative_error.gate", "metric_id": "romberg.vector_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.vector_payload.frozen_formula_relative_error.gate", "metric_id": "romberg.vector_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg.vector_payload.primal_relative_error.gate", "metric_id": "romberg.vector_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.complex_payload.analytic_derivative_relative_error.gate", "metric_id": "romberg_tanh_sinh.complex_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.complex_payload.frozen_formula_relative_error.gate", "metric_id": "romberg_tanh_sinh.complex_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.complex_payload.primal_relative_error.gate", "metric_id": "romberg_tanh_sinh.complex_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.invalid_input.finite_primal_flag.gate", "metric_id": "romberg_tanh_sinh.invalid_input.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.invalid_input.status_mismatch.gate", "metric_id": "romberg_tanh_sinh.invalid_input.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.nonfinite_integrand.finite_primal_flag.gate", "metric_id": "romberg_tanh_sinh.nonfinite_integrand.finite_primal_flag", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.nonfinite_integrand.status_mismatch.gate", "metric_id": "romberg_tanh_sinh.nonfinite_integrand.status_mismatch", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 0.0, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.semi_infinite_bound.left.analytic_derivative_absolute_error.gate", "metric_id": "romberg_tanh_sinh.semi_infinite_bound.left.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.semi_infinite_bound.left.frozen_formula_absolute_error.gate", "metric_id": "romberg_tanh_sinh.semi_infinite_bound.left.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.semi_infinite_bound.left.primal_absolute_error.gate", "metric_id": "romberg_tanh_sinh.semi_infinite_bound.left.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.semi_infinite_bound.right.analytic_derivative_absolute_error.gate", "metric_id": "romberg_tanh_sinh.semi_infinite_bound.right.analytic_derivative_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.semi_infinite_bound.right.frozen_formula_absolute_error.gate", "metric_id": "romberg_tanh_sinh.semi_infinite_bound.right.frozen_formula_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.semi_infinite_bound.right.primal_absolute_error.gate", "metric_id": "romberg_tanh_sinh.semi_infinite_bound.right.primal_absolute_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 2e-09, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.smooth_parameter.analytic_derivative_relative_error.gate", "metric_id": "romberg_tanh_sinh.smooth_parameter.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.smooth_parameter.frozen_formula_relative_error.gate", "metric_id": "romberg_tanh_sinh.smooth_parameter.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.smooth_parameter.primal_relative_error.gate", "metric_id": "romberg_tanh_sinh.smooth_parameter.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.vector_payload.analytic_derivative_relative_error.gate", "metric_id": "romberg_tanh_sinh.vector_payload.analytic_derivative_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.vector_payload.frozen_formula_relative_error.gate", "metric_id": "romberg_tanh_sinh.vector_payload.frozen_formula_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" }, { "atol": 0.0, "identity": "romberg_tanh_sinh.vector_payload.primal_relative_error.gate", "metric_id": "romberg_tanh_sinh.vector_payload.primal_relative_error", "note": "Predeclared Phase A3 replay evidence threshold.", "reference": 1e-08, "relation": "less_equal", "rtol": 0.0, "status": "pass", "units": "dimensionless" } ], "deterministic_config": [ [ "absolute_gate", 2e-09 ], [ "fd_step", 2e-05 ], [ "precision", "float64" ], [ "relative_gate", 1e-08 ] ], "environment": { "policy": "Environment fields are emission snapshots; freshness gates deterministic algorithmic measurements.", "values": [ [ "device", "cpu:0" ], [ "git_revision", "251d997723114c5a92d388cc87aadc0e68fd0799" ], [ "jax_backend", "cpu" ], [ "jax_version", "0.10.1" ], [ "measured_at_utc", "2026-07-17T07:04:54.021102+00:00" ], [ "platform", "macOS-26.1-arm64-arm-64bit-Mach-O" ], [ "python_version", "3.13.7" ], [ "working_tree_dirty", "False" ] ] }, "generation_command": "uv run --no-sync python scripts/generate_quad_replay_evidence.py --emit", "limitations": [ "First-order replay differentiates the accepted fixed formula, not adaptive control flow.", "Adaptive-rerun finite differences are diagnostic near partition or accepted-level changes.", "Invalid and nonfinite result derivatives are undefined.", "Quantity derivative units are declared for raw-value parameterizations; direct Quantity-PyTree quotient units are not inferred." ], "method_payload": { "cases": [ { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": 0.6556573838634172, "analytic_derivative": 0.6556573838452365, "analytic_value": 1.2295617441031756, "derivative_unit": "dimensionless", "dtype": "float64", "family": "smooth_parameter", "frozen_formula_fd": 0.6556573838689683, "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 3.386595047901473e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.619575854090842e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "gauss_kronrod", "name": "gauss_kronrod.smooth_parameter", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": 1.2295617441031759, "replay_ad_derivative": 0.6556573838452363, "reported_primal_error": 1.3650877585016106e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": [ 0.6556573838634171, 0.4999999999998061 ], "analytic_derivative": [ 0.6556573838452365, 0.5 ], "analytic_value": [ 1.2295617441031756, 0.2 ], "derivative_unit": "dimensionless", "dtype": "float64", "family": "vector_payload", "frozen_formula_fd": [ 0.6556573838634171, 0.4999999999998061 ], "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 3.386595047901473e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 2.7729101591943573e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "gauss_kronrod", "name": "gauss_kronrod.vector_payload", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": [ 1.2295617441031759, 0.20000000000000004 ], "replay_ad_derivative": [ 0.6556573838452363, 0.49999999999999994 ], "reported_primal_error": 1.3650877585016106e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": { "imag": 0.48017706827316314, "real": -0.13121215441391776 }, "analytic_derivative": { "imag": 0.4801770682896582, "real": -0.13121215442185286 }, "analytic_value": { "imag": 0.19734751499278733, "real": 0.9735458557716262 }, "derivative_unit": "dimensionless", "dtype": "float64", "family": "complex_payload", "frozen_formula_fd": { "imag": 0.4801770682752448, "real": -0.13121215441946887 }, "gates": [ { "name": "primal_relative_error", "observed": 1.1520567317066819e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 5.60366257664641e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 2.9348146251725126e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "gauss_kronrod", "name": "gauss_kronrod.complex_payload", "observed_primal_error": 1.1443916996305594e-16, "parameter_unit": "dimensionless", "primal_value": { "imag": 0.1973475149927873, "real": 0.9735458557716263 }, "replay_ad_derivative": { "imag": 0.48017706828965795, "real": -0.13121215442185288 }, "reported_primal_error": 1.1102230246251562e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": 0.6556573838745194, "analytic_derivative": 0.6556573838452365, "analytic_value": 1.2295617441031756, "derivative_unit": "dimensionless", "dtype": "float64", "family": "smooth_parameter", "frozen_formula_fd": 0.6556573838745194, "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 1.6932975239507364e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 4.4662076830225135e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_clenshaw_curtis", "name": "adaptive_clenshaw_curtis.smooth_parameter", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": 1.2295617441031759, "replay_ad_derivative": 0.6556573838452364, "reported_primal_error": 1.3650877585016106e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": [ 0.6556573838745193, 0.4999999999991122 ], "analytic_derivative": [ 0.6556573838452365, 0.5 ], "analytic_value": [ 1.2295617441031756, 0.2 ], "derivative_unit": "dimensionless", "dtype": "float64", "family": "vector_payload", "frozen_formula_fd": [ 0.6556573838745193, 0.4999999999991122 ], "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 1.6932975239507364e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 4.4661907500472756e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_clenshaw_curtis", "name": "adaptive_clenshaw_curtis.vector_payload", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": [ 1.2295617441031759, 0.2 ], "replay_ad_derivative": [ 0.6556573838452364, 0.5 ], "reported_primal_error": 1.3650877585016106e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": { "imag": 0.4801770682745509, "real": -0.13121215441946887 }, "analytic_derivative": { "imag": 0.4801770682896582, "real": -0.13121215442185286 }, "analytic_value": { "imag": 0.19734751499278733, "real": 0.9735458557716262 }, "derivative_unit": "dimensionless", "dtype": "float64", "family": "complex_payload", "frozen_formula_fd": { "imag": 0.4801770682745509, "real": -0.13121215441669332 }, "gates": [ { "name": "primal_relative_error", "observed": 1.1176591980071802e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 3.3916587666044645e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.2070120874069524e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_clenshaw_curtis", "name": "adaptive_clenshaw_curtis.complex_payload", "observed_primal_error": 1.1102230246251565e-16, "parameter_unit": "dimensionless", "primal_value": { "imag": 0.19734751499278733, "real": 0.9735458557716263 }, "replay_ad_derivative": { "imag": 0.48017706828965806, "real": -0.13121215442185288 }, "reported_primal_error": 1.1102230246251565e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": 0.6556573838689683, "analytic_derivative": 0.6556573838452365, "analytic_value": 1.2295617441031756, "derivative_unit": "dimensionless", "dtype": "float64", "family": "smooth_parameter", "frozen_formula_fd": 0.6556573838689683, "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 6.773190095802946e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.61960972004132e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.smooth_parameter", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": 1.2295617441031754, "replay_ad_derivative": 0.6556573838452361, "reported_primal_error": 7.039307423150065e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": [ 0.6556573838689682, 0.5000000000004999 ], "analytic_derivative": [ 0.6556573838452365, 0.5 ], "analytic_value": [ 1.2295617441031756, 0.2 ], "derivative_unit": "dimensionless", "dtype": "float64", "family": "vector_payload", "frozen_formula_fd": [ 0.6556573838689682, 0.5000000000004999 ], "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 6.773190095802946e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.619592787066082e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.vector_payload", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": [ 1.2295617441031754, 0.20000000000000004 ], "replay_ad_derivative": [ 0.6556573838452361, 0.49999999999999983 ], "reported_primal_error": 7.039307423150065e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": { "imag": 0.48017706827385703, "real": -0.13121215441391776 }, "analytic_derivative": { "imag": 0.4801770682896582, "real": -0.13121215442185286 }, "analytic_value": { "imag": 0.19734751499278733, "real": 0.9735458557716262 }, "derivative_unit": "dimensionless", "dtype": "float64", "family": "complex_payload", "frozen_formula_fd": { "imag": 0.48017706827385703, "real": -0.13121215441391776 }, "gates": [ { "name": "primal_relative_error", "observed": 1.3970739975089753e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 2.230341066060445e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.552084650016551e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.complex_payload", "observed_primal_error": 1.3877787807814457e-16, "parameter_unit": "dimensionless", "primal_value": { "imag": 0.19734751499278724, "real": 0.9735458557716261 }, "replay_ad_derivative": { "imag": 0.4801770682896581, "real": -0.13121215442185286 }, "reported_primal_error": 5.670983335888175e-14, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 5, "accepted_regions": 1, "adaptive_rerun_fd": 0.6556573838578661, "analytic_derivative": 0.6556573838452365, "analytic_value": 1.2295617441031756, "derivative_unit": "dimensionless", "dtype": "float64", "family": "smooth_parameter", "frozen_formula_fd": 0.6556573838578661, "gates": [ { "name": "primal_relative_error", "observed": 3.6117682741827235e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 1.6932975239507364e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 1.9262613972587742e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "romberg", "name": "romberg.smooth_parameter", "observed_primal_error": 4.440892098500626e-16, "parameter_unit": "dimensionless", "primal_value": 1.229561744103176, "replay_ad_derivative": 0.6556573838452364, "reported_primal_error": 1.81482053338333e-13, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 5, "accepted_regions": 1, "adaptive_rerun_fd": [ 0.655657383857866, 0.5000000000011938 ], "analytic_derivative": [ 0.6556573838452365, 0.5 ], "analytic_value": [ 1.2295617441031756, 0.2 ], "derivative_unit": "dimensionless", "dtype": "float64", "family": "vector_payload", "frozen_formula_fd": [ 0.655657383857866, 0.5000000000011938 ], "gates": [ { "name": "primal_relative_error", "observed": 3.6117682741827235e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 1.6932975239507364e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 1.9262444642835353e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "romberg", "name": "romberg.vector_payload", "observed_primal_error": 4.440892098500626e-16, "parameter_unit": "dimensionless", "primal_value": [ 1.229561744103176, 0.20000000000000004 ], "replay_ad_derivative": [ 0.6556573838452364, 0.5 ], "reported_primal_error": 1.81482053338333e-13, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 5, "accepted_regions": 1, "adaptive_rerun_fd": { "imag": 0.48017706827385703, "real": -0.1312121544111422 }, "analytic_derivative": { "imag": 0.4801770682896582, "real": -0.13121215442185286 }, "analytic_value": { "imag": 0.19734751499278733, "real": 0.9735458557716262 }, "derivative_unit": "dimensionless", "dtype": "float64", "family": "complex_payload", "frozen_formula_fd": { "imag": 0.48017706827385703, "real": -0.1312121544111422 }, "gates": [ { "name": "primal_relative_error", "observed": 2.3873210934404835e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 5.60366257664641e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.834801474770949e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "romberg", "name": "romberg.complex_payload", "observed_primal_error": 2.3714374201337736e-16, "parameter_unit": "dimensionless", "primal_value": { "imag": 0.19734751499278724, "real": 0.973545855771626 }, "replay_ad_derivative": { "imag": 0.48017706828965795, "real": -0.13121215442185288 }, "reported_primal_error": 1.4828858196045177e-13, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 4, "accepted_regions": 1, "adaptive_rerun_fd": 0.6556573838634172, "analytic_derivative": 0.6556573838452365, "analytic_value": 1.2295617441031756, "derivative_unit": "dimensionless", "dtype": "float64", "family": "smooth_parameter", "frozen_formula_fd": 0.6556573838634172, "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 1.6932975239507364e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 2.772910159194357e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.smooth_parameter", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": 1.2295617441031759, "replay_ad_derivative": 0.6556573838452364, "reported_primal_error": 9.24277439101969e-13, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 4, "accepted_regions": 1, "adaptive_rerun_fd": [ 0.6556573838634171, 0.5000000000004999 ], "analytic_derivative": [ 0.6556573838452365, 0.5 ], "analytic_value": [ 1.2295617441031756, 0.2 ], "derivative_unit": "dimensionless", "dtype": "float64", "family": "vector_payload", "frozen_formula_fd": [ 0.6556573838634171, 0.5000000000004999 ], "gates": [ { "name": "primal_relative_error", "observed": 1.8058841370913617e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 1.6932975239507364e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 2.7728932262191185e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.vector_payload", "observed_primal_error": 2.220446049250313e-16, "parameter_unit": "dimensionless", "primal_value": [ 1.2295617441031759, 0.2 ], "replay_ad_derivative": [ 0.6556573838452364, 0.49999999999999994 ], "reported_primal_error": 9.24277439101969e-13, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 4, "accepted_regions": 1, "adaptive_rerun_fd": { "imag": 0.48017706827316314, "real": -0.13121215442224443 }, "analytic_derivative": { "imag": 0.4801770682896582, "real": -0.13121215442185286 }, "analytic_value": { "imag": 0.19734751499278733, "real": 0.9735458557716262 }, "derivative_unit": "dimensionless", "dtype": "float64", "family": "complex_payload", "frozen_formula_fd": { "imag": 0.48017706827316314, "real": -0.13121215442224443 }, "gates": [ { "name": "primal_relative_error", "observed": 2.7941479950179504e-17, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 6.691023198181335e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.314584765628068e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.complex_payload", "observed_primal_error": 2.7755575615628914e-17, "parameter_unit": "dimensionless", "primal_value": { "imag": 0.19734751499278735, "real": 0.9735458557716262 }, "replay_ad_derivative": { "imag": 0.4801770682896579, "real": -0.13121215442185286 }, "reported_primal_error": 1.9860943949946536e-12, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": 0.8000000000035755, "analytic_derivative": 0.8, "analytic_value": 0.32000000000000006, "derivative_unit": "coordinate", "dtype": "float64", "family": "moving_bounds", "frozen_formula_fd": 0.8000000000035755, "gates": [ { "name": "primal_absolute_error", "observed": 1.1102230246251565e-16, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 3.5754732508053166e-12, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate^2", "method": "gauss_kronrod", "name": "gauss_kronrod.moving_bounds", "observed_primal_error": 1.1102230246251565e-16, "parameter_unit": "coordinate", "primal_value": 0.31999999999999995, "replay_ad_derivative": 0.8, "reported_primal_error": 3.5527136788005005e-15, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": -0.8000000000035755, "analytic_derivative": -0.8, "analytic_value": -0.32000000000000006, "derivative_unit": "coordinate", "dtype": "float64", "family": "reversed_bounds", "frozen_formula_fd": -0.8000000000021877, "gates": [ { "name": "primal_absolute_error", "observed": 1.1102230246251565e-16, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 2.187694470023871e-12, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate^2", "method": "gauss_kronrod", "name": "gauss_kronrod.reversed_bounds", "observed_primal_error": 1.1102230246251565e-16, "parameter_unit": "coordinate", "primal_value": -0.31999999999999995, "replay_ad_derivative": -0.8, "reported_primal_error": 3.5527136788005005e-15, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 0, "adaptive_rerun_fd": 0.4000000000004, "analytic_derivative": 0.4, "analytic_value": 0.0, "derivative_unit": "coordinate", "dtype": "float64", "family": "coincident_bounds", "frozen_formula_fd": 0.4000000000004, "gates": [ { "name": "primal_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 3.9995784462121264e-13, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate^2", "method": "gauss_kronrod", "name": "gauss_kronrod.coincident_bounds", "observed_primal_error": 0.0, "parameter_unit": "coordinate", "primal_value": 0.0, "replay_ad_derivative": 0.4, "reported_primal_error": 0.0, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 3, "adaptive_rerun_fd": -0.5917159764695645, "analytic_derivative": -0.5917159763313609, "analytic_value": 0.7692307692307692, "derivative_unit": "dimensionless", "dtype": "float64", "family": "improper_tail", "frozen_formula_fd": -0.5917159764695645, "gates": [ { "name": "primal_relative_error", "observed": 1.4432899320127036e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 0.0, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 2.3356420347882404e-10, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.improper_tail", "observed_primal_error": 1.1102230246251565e-16, "parameter_unit": "dimensionless", "primal_value": 0.769230769230769, "replay_ad_derivative": -0.5917159763313609, "reported_primal_error": 4.600634126666863e-12, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 3, "adaptive_rerun_fd": 1.9999999885000894, "analytic_derivative": 2.0, "analytic_value": 1.4, "derivative_unit": "dimensionless", "dtype": "float64", "family": "endpoint_singularity", "frozen_formula_fd": 1.9999999885000894, "gates": [ { "name": "primal_relative_error", "observed": 5.747414766332781e-09, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 5.747414988377386e-09, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 2.5403013172514397e-12, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.endpoint_singularity", "observed_primal_error": 8.046380672865894e-09, "parameter_unit": "dimensionless", "primal_value": 1.3999999919536192, "replay_ad_derivative": 1.99999998850517, "reported_primal_error": 1.898970151784915e-07, "status": 1, "status_name": "MAX_EVALUATIONS" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": 0.8333333333346292, "analytic_derivative": 0.8333333333333334, "analytic_value": 0.33333333333333337, "derivative_unit": "dimensionless", "dtype": "float64", "family": "weighted_density", "frozen_formula_fd": 0.8333333333346292, "gates": [ { "name": "primal_relative_error", "observed": 1.6653345369377346e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 0.0, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 1.555022777208561e-12, "passed": true, "threshold": 1e-08, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "gauss_kronrod", "name": "gauss_kronrod.weighted_density", "observed_primal_error": 5.551115123125783e-17, "parameter_unit": "dimensionless", "primal_value": 0.3333333333333333, "replay_ad_derivative": 0.8333333333333334, "reported_primal_error": 3.700743415417188e-15, "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": 0.6556573838689683, "analytic_derivative": 0.6556573838452365, "analytic_value": 1.2295617441031756, "derivative_unit": "dimensionless", "dtype": "float64", "family": "exhausted_finite", "frozen_formula_fd": 0.6556573838689683, "gates": [ { "name": "primal_relative_error", "observed": 0.0, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "analytic_derivative_relative_error", "observed": 3.386595047901473e-16, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "frozen_formula_relative_error", "observed": 3.619575854090842e-11, "passed": true, "threshold": 1e-08, "unit": "dimensionless" }, { "name": "expected_exhaustion_status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "dimensionless", "method": "gauss_kronrod", "name": "gauss_kronrod.exhausted_finite", "observed_primal_error": 0.0, "parameter_unit": "dimensionless", "primal_value": 1.2295617441031756, "replay_ad_derivative": 0.6556573838452363, "reported_primal_error": 1.3650877585016103e-14, "status": 1, "status_name": "MAX_EVALUATIONS" }, { "accepted_level": 0, "accepted_regions": 3, "adaptive_rerun_fd": -0.818730753132657, "analytic_derivative": -0.8187307530779818, "analytic_value": 0.8187307530779818, "derivative_unit": "integrand", "dtype": "float64", "family": "semi_infinite_bound", "frozen_formula_fd": -0.818730753132657, "gates": [ { "name": "primal_absolute_error", "observed": 1.1102230246251565e-16, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 5.4675153293715084e-11, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate times integrand", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.semi_infinite_bound.right", "observed_primal_error": 1.1102230246251565e-16, "parameter_unit": "coordinate", "primal_value": 0.8187307530779817, "replay_ad_derivative": -0.8187307530779818, "reported_primal_error": 1.8605701986428846e-11, "status": 0, "status_name": "CONVERGED", "variant": "right" }, { "accepted_level": 0, "accepted_regions": 3, "adaptive_rerun_fd": 1.2214027582446718, "analytic_derivative": 1.2214027581601699, "analytic_value": 1.2214027581601699, "derivative_unit": "integrand", "dtype": "float64", "family": "semi_infinite_bound", "frozen_formula_fd": 1.2214027582446718, "gates": [ { "name": "primal_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 2.220446049250313e-16, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 8.450218302868961e-11, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate times integrand", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.semi_infinite_bound.left", "observed_primal_error": 0.0, "parameter_unit": "coordinate", "primal_value": 1.2214027581601699, "replay_ad_derivative": 1.2214027581601696, "reported_primal_error": 2.775660435363415e-11, "status": 0, "status_name": "CONVERGED", "variant": "left" }, { "accepted_level": 6, "accepted_regions": 1, "adaptive_rerun_fd": -0.818730753132657, "analytic_derivative": -0.8187307530779818, "analytic_value": 0.8187307530779818, "derivative_unit": "integrand", "dtype": "float64", "family": "semi_infinite_bound", "frozen_formula_fd": -0.818730753132657, "gates": [ { "name": "primal_absolute_error", "observed": 1.1102230246251565e-16, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 4.440892098500626e-16, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 5.4674709204505234e-11, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate times integrand", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.semi_infinite_bound.right", "observed_primal_error": 1.1102230246251565e-16, "parameter_unit": "coordinate", "primal_value": 0.8187307530779817, "replay_ad_derivative": -0.8187307530779823, "reported_primal_error": 6.335506683453906e-14, "status": 0, "status_name": "CONVERGED", "variant": "right" }, { "accepted_level": 6, "accepted_regions": 1, "adaptive_rerun_fd": 1.221402758250223, "analytic_derivative": 1.2214027581601699, "analytic_value": 1.2214027581601699, "derivative_unit": "integrand", "dtype": "float64", "family": "semi_infinite_bound", "frozen_formula_fd": 1.221402758250223, "gates": [ { "name": "primal_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "analytic_derivative_absolute_error", "observed": 0.0, "passed": true, "threshold": 2e-09, "unit": "dimensionless" }, { "name": "frozen_formula_absolute_error", "observed": 9.005307610721047e-11, "passed": true, "threshold": 2e-08, "unit": "dimensionless" } ], "integral_unit": "coordinate times integrand", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.semi_infinite_bound.left", "observed_primal_error": 0.0, "parameter_unit": "coordinate", "primal_value": 1.2214027581601699, "replay_ad_derivative": 1.2214027581601699, "reported_primal_error": 9.416691920596359e-14, "status": 0, "status_name": "CONVERGED", "variant": "left" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "covered by dimensionless method cases", "analytic_derivative": { "cm2_per_cm": 200.0, "cm2_per_m": 20000.0 }, "analytic_value": 20000.0, "derivative_unit": "cm^2/m converted to cm^2/cm", "dtype": "float64", "family": "quantity_rescaling", "frozen_formula_fd": "covered by dimensionless method cases", "gates": [ { "name": "physical_value_absolute_error_cm2", "observed": 7.275957614183426e-12, "passed": true, "threshold": 2e-08, "unit": "cm^2" }, { "name": "physical_derivative_absolute_error_cm2_per_cm", "observed": 2.842170943040401e-14, "passed": true, "threshold": 2e-08, "unit": "cm^2/cm" } ], "integral_unit": "cm^2", "method": "gauss_kronrod", "name": "gauss_kronrod.quantity_rescaling", "observed_primal_error": 7.275957614183426e-12, "parameter_unit": "m and cm", "primal_value": { "centimetre_parameterization_in_cm2": 20000.000000000004, "metre_parameterization_in_cm2": 19999.999999999996 }, "replay_ad_derivative": { "cm2_per_cm": 199.99999999999997, "cm2_per_m": 20000.0 }, "reported_primal_error": "see raw method cases", "status": 0, "status_name": "CONVERGED" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "invalid_input", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "gauss_kronrod", "name": "gauss_kronrod.invalid_input", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 6, "status_name": "INVALID_INPUT" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "nonfinite_integrand", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "gauss_kronrod", "name": "gauss_kronrod.nonfinite_integrand", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 3, "status_name": "NONFINITE_INTEGRAND" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "invalid_input", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "adaptive_clenshaw_curtis", "name": "adaptive_clenshaw_curtis.invalid_input", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 6, "status_name": "INVALID_INPUT" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "nonfinite_integrand", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "adaptive_clenshaw_curtis", "name": "adaptive_clenshaw_curtis.nonfinite_integrand", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 3, "status_name": "NONFINITE_INTEGRAND" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "invalid_input", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.invalid_input", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 6, "status_name": "INVALID_INPUT" }, { "accepted_level": 0, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "nonfinite_integrand", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "adaptive_tanh_sinh", "name": "adaptive_tanh_sinh.nonfinite_integrand", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 3, "status_name": "NONFINITE_INTEGRAND" }, { "accepted_level": 3, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "invalid_input", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "romberg", "name": "romberg.invalid_input", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 6, "status_name": "INVALID_INPUT" }, { "accepted_level": 3, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "nonfinite_integrand", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "romberg", "name": "romberg.nonfinite_integrand", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 3, "status_name": "NONFINITE_INTEGRAND" }, { "accepted_level": 3, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "invalid_input", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.invalid_input", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 6, "status_name": "INVALID_INPUT" }, { "accepted_level": 3, "accepted_regions": 1, "adaptive_rerun_fd": "undefined", "analytic_derivative": "undefined", "analytic_value": "not_applicable", "derivative_unit": "undefined", "dtype": "float64", "family": "nonfinite_integrand", "frozen_formula_fd": "undefined", "gates": [ { "name": "status_mismatch", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" }, { "name": "finite_primal_flag", "observed": 0.0, "passed": true, "threshold": 0.0, "unit": "dimensionless" } ], "integral_unit": "not_applicable", "method": "romberg_tanh_sinh", "name": "romberg_tanh_sinh.nonfinite_integrand", "observed_primal_error": "not_applicable", "parameter_unit": "not_applicable", "primal_value": "nonfinite", "replay_ad_derivative": "undefined", "reported_primal_error": "not_applicable", "status": 3, "status_name": "NONFINITE_INTEGRAND" } ], "claim": "replay-differentiable adaptive one-dimensional quadrature", "controls": { "absolute_gate": 2e-09, "fd_step": 2e-05, "precision": "float64", "relative_gate": 1e-08 }, "report_mode": "progressive", "stability_ladders": [ { "capacities": [ { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 147, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 294, "max_regions": 8, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ], "method": "gauss_kronrod", "tolerances": [ { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-06, "epsrel": 1e-06, "max_evaluations": 147, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-08, "epsrel": 1e-08, "max_evaluations": 147, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 147, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ] }, { "capacities": [ { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 153, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 306, "max_regions": 8, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ], "method": "adaptive_clenshaw_curtis", "tolerances": [ { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-06, "epsrel": 1e-06, "max_evaluations": 153, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-08, "epsrel": 1e-08, "max_evaluations": 153, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 3.386595047901473e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 153, "max_regions": 4, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ] }, { "capacities": [ { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 6.773190095802946e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 600, "max_regions": 8, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 6.773190095802946e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 1200, "max_regions": 16, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ], "method": "adaptive_tanh_sinh", "tolerances": [ { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 6.773190095802946e-16, "epsabs": 1e-06, "epsrel": 1e-06, "max_evaluations": 600, "max_regions": 8, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 6.773190095802946e-16, "epsabs": 1e-08, "epsrel": 1e-08, "max_evaluations": 600, "max_regions": 8, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 0, "accepted_regions": 1, "derivative_relative_error": 6.773190095802946e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 600, "max_regions": 8, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ] }, { "capacities": [ { "accepted_level": 5, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 257, "max_regions": 1, "passed": true, "primal_relative_error": 3.6117682741827235e-16 }, { "accepted_level": 5, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 514, "max_regions": 1, "passed": true, "primal_relative_error": 3.6117682741827235e-16 } ], "method": "romberg", "tolerances": [ { "accepted_level": 5, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-06, "epsrel": 1e-06, "max_evaluations": 257, "max_regions": 1, "passed": true, "primal_relative_error": 3.6117682741827235e-16 }, { "accepted_level": 5, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-08, "epsrel": 1e-08, "max_evaluations": 257, "max_regions": 1, "passed": true, "primal_relative_error": 3.6117682741827235e-16 }, { "accepted_level": 5, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 257, "max_regions": 1, "passed": true, "primal_relative_error": 3.6117682741827235e-16 } ] }, { "capacities": [ { "accepted_level": 4, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 801, "max_regions": 1, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 4, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 1602, "max_regions": 1, "passed": true, "primal_relative_error": 0.0 } ], "method": "romberg_tanh_sinh", "tolerances": [ { "accepted_level": 4, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-06, "epsrel": 1e-06, "max_evaluations": 801, "max_regions": 1, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 4, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-08, "epsrel": 1e-08, "max_evaluations": 801, "max_regions": 1, "passed": true, "primal_relative_error": 1.8058841370913617e-16 }, { "accepted_level": 4, "accepted_regions": 1, "derivative_relative_error": 1.6932975239507364e-16, "epsabs": 1e-10, "epsrel": 1e-10, "max_evaluations": 801, "max_regions": 1, "passed": true, "primal_relative_error": 1.8058841370913617e-16 } ] } ] }, "metrics": [ { "identity": "adaptive_clenshaw_curtis.complex_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 3.3916587666044645e-16 }, { "identity": "adaptive_clenshaw_curtis.complex_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.2070120874069524e-11 }, { "identity": "adaptive_clenshaw_curtis.complex_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.1176591980071802e-16 }, { "identity": "adaptive_clenshaw_curtis.invalid_input.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_clenshaw_curtis.invalid_input.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_clenshaw_curtis.nonfinite_integrand.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_clenshaw_curtis.nonfinite_integrand.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_clenshaw_curtis.smooth_parameter.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 1.6932975239507364e-16 }, { "identity": "adaptive_clenshaw_curtis.smooth_parameter.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 4.4662076830225135e-11 }, { "identity": "adaptive_clenshaw_curtis.smooth_parameter.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "adaptive_clenshaw_curtis.vector_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 1.6932975239507364e-16 }, { "identity": "adaptive_clenshaw_curtis.vector_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 4.4661907500472756e-11 }, { "identity": "adaptive_clenshaw_curtis.vector_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "adaptive_tanh_sinh.complex_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 2.230341066060445e-16 }, { "identity": "adaptive_tanh_sinh.complex_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.552084650016551e-11 }, { "identity": "adaptive_tanh_sinh.complex_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.3970739975089753e-16 }, { "identity": "adaptive_tanh_sinh.endpoint_singularity.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 5.747414988377386e-09 }, { "identity": "adaptive_tanh_sinh.endpoint_singularity.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 2.5403013172514397e-12 }, { "identity": "adaptive_tanh_sinh.endpoint_singularity.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 5.747414766332781e-09 }, { "identity": "adaptive_tanh_sinh.improper_tail.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.improper_tail.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 2.3356420347882404e-10 }, { "identity": "adaptive_tanh_sinh.improper_tail.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.4432899320127036e-16 }, { "identity": "adaptive_tanh_sinh.invalid_input.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.invalid_input.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.nonfinite_integrand.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.nonfinite_integrand.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.semi_infinite_bound.left.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 2.220446049250313e-16 }, { "identity": "adaptive_tanh_sinh.semi_infinite_bound.left.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 8.450218302868961e-11 }, { "identity": "adaptive_tanh_sinh.semi_infinite_bound.left.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.semi_infinite_bound.right.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "adaptive_tanh_sinh.semi_infinite_bound.right.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 5.4675153293715084e-11 }, { "identity": "adaptive_tanh_sinh.semi_infinite_bound.right.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 1.1102230246251565e-16 }, { "identity": "adaptive_tanh_sinh.smooth_parameter.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 6.773190095802946e-16 }, { "identity": "adaptive_tanh_sinh.smooth_parameter.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.61960972004132e-11 }, { "identity": "adaptive_tanh_sinh.smooth_parameter.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "adaptive_tanh_sinh.vector_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 6.773190095802946e-16 }, { "identity": "adaptive_tanh_sinh.vector_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.619592787066082e-11 }, { "identity": "adaptive_tanh_sinh.vector_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "gauss_kronrod.coincident_bounds.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.coincident_bounds.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 3.9995784462121264e-13 }, { "identity": "gauss_kronrod.coincident_bounds.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.complex_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 5.60366257664641e-16 }, { "identity": "gauss_kronrod.complex_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 2.9348146251725126e-11 }, { "identity": "gauss_kronrod.complex_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.1520567317066819e-16 }, { "identity": "gauss_kronrod.exhausted_finite.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 3.386595047901473e-16 }, { "identity": "gauss_kronrod.exhausted_finite.expected_exhaustion_status_mismatch", "note": "", "status": "info", "symbol": "expected_exhaustion_status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.exhausted_finite.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.619575854090842e-11 }, { "identity": "gauss_kronrod.exhausted_finite.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.invalid_input.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.invalid_input.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.moving_bounds.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.moving_bounds.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 3.5754732508053166e-12 }, { "identity": "gauss_kronrod.moving_bounds.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 1.1102230246251565e-16 }, { "identity": "gauss_kronrod.nonfinite_integrand.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.nonfinite_integrand.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.quantity_rescaling.physical_derivative_absolute_error_cm2_per_cm", "note": "", "status": "info", "symbol": "physical_derivative_absolute_error_cm2_per_cm", "units": "cm^2/cm", "value": 2.842170943040401e-14 }, { "identity": "gauss_kronrod.quantity_rescaling.physical_value_absolute_error_cm2", "note": "", "status": "info", "symbol": "physical_value_absolute_error_cm2", "units": "cm^2", "value": 7.275957614183426e-12 }, { "identity": "gauss_kronrod.reversed_bounds.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.reversed_bounds.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 2.187694470023871e-12 }, { "identity": "gauss_kronrod.reversed_bounds.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 1.1102230246251565e-16 }, { "identity": "gauss_kronrod.smooth_parameter.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 3.386595047901473e-16 }, { "identity": "gauss_kronrod.smooth_parameter.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.619575854090842e-11 }, { "identity": "gauss_kronrod.smooth_parameter.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "gauss_kronrod.vector_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 3.386595047901473e-16 }, { "identity": "gauss_kronrod.vector_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 2.7729101591943573e-11 }, { "identity": "gauss_kronrod.vector_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "gauss_kronrod.weighted_density.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 0.0 }, { "identity": "gauss_kronrod.weighted_density.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 1.555022777208561e-12 }, { "identity": "gauss_kronrod.weighted_density.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.6653345369377346e-16 }, { "identity": "romberg.complex_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 5.60366257664641e-16 }, { "identity": "romberg.complex_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.834801474770949e-11 }, { "identity": "romberg.complex_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 2.3873210934404835e-16 }, { "identity": "romberg.invalid_input.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg.invalid_input.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg.nonfinite_integrand.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg.nonfinite_integrand.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg.smooth_parameter.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 1.6932975239507364e-16 }, { "identity": "romberg.smooth_parameter.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 1.9262613972587742e-11 }, { "identity": "romberg.smooth_parameter.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 3.6117682741827235e-16 }, { "identity": "romberg.vector_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 1.6932975239507364e-16 }, { "identity": "romberg.vector_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 1.9262444642835353e-11 }, { "identity": "romberg.vector_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 3.6117682741827235e-16 }, { "identity": "romberg_tanh_sinh.complex_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 6.691023198181335e-16 }, { "identity": "romberg_tanh_sinh.complex_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 3.314584765628068e-11 }, { "identity": "romberg_tanh_sinh.complex_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 2.7941479950179504e-17 }, { "identity": "romberg_tanh_sinh.invalid_input.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg_tanh_sinh.invalid_input.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg_tanh_sinh.nonfinite_integrand.finite_primal_flag", "note": "", "status": "info", "symbol": "finite_primal_flag", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg_tanh_sinh.nonfinite_integrand.status_mismatch", "note": "", "status": "info", "symbol": "status_mismatch", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg_tanh_sinh.semi_infinite_bound.left.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg_tanh_sinh.semi_infinite_bound.left.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 9.005307610721047e-11 }, { "identity": "romberg_tanh_sinh.semi_infinite_bound.left.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 0.0 }, { "identity": "romberg_tanh_sinh.semi_infinite_bound.right.analytic_derivative_absolute_error", "note": "", "status": "info", "symbol": "analytic_derivative_absolute_error", "units": "dimensionless", "value": 4.440892098500626e-16 }, { "identity": "romberg_tanh_sinh.semi_infinite_bound.right.frozen_formula_absolute_error", "note": "", "status": "info", "symbol": "frozen_formula_absolute_error", "units": "dimensionless", "value": 5.4674709204505234e-11 }, { "identity": "romberg_tanh_sinh.semi_infinite_bound.right.primal_absolute_error", "note": "", "status": "info", "symbol": "primal_absolute_error", "units": "dimensionless", "value": 1.1102230246251565e-16 }, { "identity": "romberg_tanh_sinh.smooth_parameter.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 1.6932975239507364e-16 }, { "identity": "romberg_tanh_sinh.smooth_parameter.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 2.772910159194357e-11 }, { "identity": "romberg_tanh_sinh.smooth_parameter.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 }, { "identity": "romberg_tanh_sinh.vector_payload.analytic_derivative_relative_error", "note": "", "status": "info", "symbol": "analytic_derivative_relative_error", "units": "dimensionless", "value": 1.6932975239507364e-16 }, { "identity": "romberg_tanh_sinh.vector_payload.frozen_formula_relative_error", "note": "", "status": "info", "symbol": "frozen_formula_relative_error", "units": "dimensionless", "value": 2.7728932262191185e-11 }, { "identity": "romberg_tanh_sinh.vector_payload.primal_relative_error", "note": "", "status": "info", "symbol": "primal_relative_error", "units": "dimensionless", "value": 1.8058841370913617e-16 } ], "package_version": "0.1.0", "precision": "float64", "schema_version": "1", "source_revision": "251d997723114c5a92d388cc87aadc0e68fd0799" }