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abstract:
reference:

step	inference rule	input	feed	output	validity (as per SymPy)
5	ID: 111341; declare final expression number of inputs: 1; feeds: 0; outputs: 0 Eq.~\\ref{eq:#1} is one of the final equations.	8489593964 $\int u dv=u v - \int v du$			no validation is available for declarations
2	ID: 111282; subtract X from both sides number of inputs: 1; feeds: 1; outputs: 1 Subtract $#1$ from both sides of Eq.~\\ref{eq:#2}; yields Eq.~\\ref{eq:#3}.	8489593958 $d(u v)=u dv + v du$	0009492929 $v du$	8489593960 $d(u v) - v du=u dv$	invalid syntax (<string>, line 0)
3	ID: 111268; swap LHS with RHS number of inputs: 1; feeds: 0; outputs: 1 Swap LHS of Eq.~\\ref{eq:#1} with RHS; yields Eq.~\\ref{eq:#2}.	8489593960 $d(u v) - v du=u dv$		8489593962 $u dv=d(u v) - v du$	invalid syntax (<string>, line 0)
1	ID: 111299; declare identity number of inputs: 0; feeds: 0; outputs: 1 Eq.~\\ref{eq:#1} is an identity.			8489593958 $d(u v)=u dv + v du$	no validation is available for declarations
4	ID: 111608; indefinite integration number of inputs: 1; feeds: 0; outputs: 1 Indefinite integral of both sides of Eq.~\\ref{eq:#1}; yields Eq.~\\ref{eq:#2}.	8489593962 $u dv=d(u v) - v du$		8489593964 $\int u dv=u v - \int v du$	recognized infrule but not yet supported

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timing of Neo4j queries:

0.019 seconds for pdg_app/to_review_derivation: node_properties, derivation3839695
0.023 seconds for compute/get_dict_of_steps_in_derivation: steps_in_this_derivation2870719
0.008 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule6460396
0.01 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT6460396
0.01 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED6460396
0.01 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT6460396
0.005 seconds for compute/get_dict_of_steps_in_derivation: step_has_sequence_index2870719
0.008 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule7270971
0.009 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT7270971
0.008 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED7270971
0.008 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT7270971
0.005 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule5252127
0.005 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT5252127
0.006 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED5252127
0.006 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT5252127
0.007 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule2362178
0.006 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT2362178
0.005 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED2362178
0.005 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT2362178
0.007 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule4971319
0.006 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT4971319
0.006 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED4971319
0.006 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT4971319
0.003 seconds for pdg_app/to_review_derivation: get_list_of_step_dicts_in_this_derivation3839695
0.006 seconds for pdg_app/to_review_derivation: get_list_of_sequence_values_for_derivation_id3839695000009
0.019 seconds for pdg_app/to_review_derivation: get_list_node_dicts_of_type inference_rule3839695
0.003 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule6228676
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT6228676
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED6228676
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT6228676
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule8051447
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT8051447
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED8051447
0.003 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT8051447
0.008 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule5491414
0.004 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT5491414
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED5491414
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT5491414
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule4300921
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT4300921
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED4300921
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT4300921
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule3718934
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT3718934
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED3718934
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT3718934
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule9747370
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT9747370
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED9747370
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT9747370
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule5645594
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT5645594
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED5645594
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT5645594
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule3769876
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT3769876
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED3769876
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT3769876
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule2273564
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT2273564
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED2273564
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT2273564
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_has_inference_rule8605340
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_INPUT8605340
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_FEED8605340
0.002 seconds for compute/get_dict_of_steps_in_derivation: step_id_has_expressions, HAS_OUTPUT8605340

step	inference rule	input	feed	output	validity (as per SymPy)
5	ID: 111341; declare final expression number of inputs: 1; feeds: 0; outputs: 0 Eq.~\\ref{eq:#1} is one of the final equations.	8489593964 \(\int u dv=u v - \int v du\)			no validation is available for declarations
2	ID: 111282; subtract X from both sides number of inputs: 1; feeds: 1; outputs: 1 Subtract $#1$ from both sides of Eq.~\\ref{eq:#2}; yields Eq.~\\ref{eq:#3}.	8489593958 \(d(u v)=u dv + v du\)	0009492929 \(v du\)	8489593960 \(d(u v) - v du=u dv\)	invalid syntax (<string>, line 0)
3	ID: 111268; swap LHS with RHS number of inputs: 1; feeds: 0; outputs: 1 Swap LHS of Eq.~\\ref{eq:#1} with RHS; yields Eq.~\\ref{eq:#2}.	8489593960 \(d(u v) - v du=u dv\)		8489593962 \(u dv=d(u v) - v du\)	invalid syntax (<string>, line 0)
1	ID: 111299; declare identity number of inputs: 0; feeds: 0; outputs: 1 Eq.~\\ref{eq:#1} is an identity.			8489593958 \(d(u v)=u dv + v du\)	no validation is available for declarations
4	ID: 111608; indefinite integration number of inputs: 1; feeds: 0; outputs: 1 Indefinite integral of both sides of Eq.~\\ref{eq:#1}; yields Eq.~\\ref{eq:#2}.	8489593962 \(u dv=d(u v) - v du\)		8489593964 \(\int u dv=u v - \int v du\)	recognized infrule but not yet supported