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@ -29,12 +29,7 @@ let expensive_threshold = BasicCost.of_int_exn 200
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module InstrCFG = ProcCfg.NormalOneInstrPerNode
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module InstrCFG = ProcCfg.NormalOneInstrPerNode
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module NodeCFG = ProcCfg.Normal
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module NodeCFG = ProcCfg.Normal
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module InstrCFGScheduler = Scheduler.ReversePostorder (InstrCFG)
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module InstrCFGScheduler = Scheduler.ReversePostorder (InstrCFG)
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module Node = ProcCfg.DefaultNode
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module Node = struct
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include ProcCfg.DefaultNode
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let equal_id = [%compare.equal : id]
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end
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(* Compute a map (node,instruction) -> basic_cost, where basic_cost is the
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(* Compute a map (node,instruction) -> basic_cost, where basic_cost is the
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cost known for a certain operation. For example for basic operation we
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cost known for a certain operation. For example for basic operation we
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@ -218,36 +213,31 @@ end
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equal to the sum of the number of times nodes n1,..., nk can be executed.
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equal to the sum of the number of times nodes n1,..., nk can be executed.
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*)
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*)
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module StructuralConstraints = struct
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module StructuralConstraints = struct
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type rhs = Single of Node.id | Sum of Node.IdSet.t
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type t = {single: Node.id list; sum: Node.IdSet.t list}
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type t = {lhs: Node.id; rhs: rhs}
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let is_single ~lhs:expected_lhs = function
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| {lhs; rhs= Single single} when Node.equal_id lhs expected_lhs ->
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Some single
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| _ ->
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None
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let is_sum ~lhs:expected_lhs = function
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| {lhs; rhs= Sum sum} when Node.equal_id lhs expected_lhs ->
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Some sum
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| _ ->
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None
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(*
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Finds subset of constraints of node k.
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It returns a pair (single_constraints, sum_constraints) where single constraints are
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of the form 'x_k <= x_j' and sum constraints are of the form 'x_k <= x_j1 +...+ x_jn'.
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*)
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let get_constraints_of_node constraints k =
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let c = Node.IdMap.find_opt k constraints in
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match c with Some c -> c | _ -> {single= []; sum= []}
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let pp_rhs fmt = function
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| Single nid ->
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Node.pp_id fmt nid
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| Sum nidset ->
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Pp.seq ~sep:" + " Node.pp_id fmt (Node.IdSet.elements nidset)
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let print_constraints_map constraints =
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let pp fmt {lhs; rhs} = F.fprintf fmt "%a <= %a" Node.pp_id lhs pp_rhs rhs
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let pp_nidset fmt nidset = Pp.seq ~sep:" + " Node.pp_id fmt (Node.IdSet.elements nidset) in
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L.(debug Analysis Medium)
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let print_constraint_list constraints =
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"@\n\n******* Structural Constraints size = %i **** @\n" (Node.IdMap.cardinal constraints) ;
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L.(debug Analysis Medium) "@\n\n******* Structural Constraints **** @\n" ;
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Node.IdMap.iter
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List.iter ~f:(fun c -> L.(debug Analysis Medium) "@\n %a @\n" pp c) constraints ;
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(fun n {single; sum} ->
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List.iter
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~f:(fun s -> L.(debug Analysis Medium) "@\n %a <= %a @\n" Node.pp_id n Node.pp_id s)
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single ;
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List.iter
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~f:(fun s -> L.(debug Analysis Medium) "@\n %a <= %a @\n" Node.pp_id n pp_nidset s)
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sum )
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constraints ;
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L.(debug Analysis Medium) "@\n******* END Structural Constraints **** @\n\n"
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L.(debug Analysis Medium) "@\n******* END Structural Constraints **** @\n\n"
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@ -258,24 +248,28 @@ module StructuralConstraints = struct
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*)
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*)
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let compute_structural_constraints node_cfg =
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let compute_structural_constraints node_cfg =
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let compute_node_constraints acc node =
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let compute_node_constraints acc node =
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let constraints_append node get_nodes tail =
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let constraints_add node get_nodes =
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match get_nodes node with
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match get_nodes node with
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| [] ->
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| [] ->
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tail
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{single= []; sum= []}
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| [single] ->
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| [single] ->
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{lhs= NodeCFG.id node; rhs= Single (NodeCFG.id single)} :: tail
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{single= [NodeCFG.id single]; sum= []}
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| nodes ->
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| nodes ->
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let sum =
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let sum =
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List.fold nodes ~init:Node.IdSet.empty ~f:(fun idset node ->
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List.fold nodes ~init:Node.IdSet.empty ~f:(fun idset node ->
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Node.IdSet.add (NodeCFG.id node) idset )
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Node.IdSet.add (NodeCFG.id node) idset )
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in
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in
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{lhs= NodeCFG.id node; rhs= Sum sum} :: tail
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{single= []; sum= [sum]}
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in
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in
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acc |> constraints_append node Procdesc.Node.get_preds
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let preds = constraints_add node Procdesc.Node.get_preds in
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|> constraints_append node Procdesc.Node.get_succs
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let succs = constraints_add node Procdesc.Node.get_succs in
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Node.IdMap.add (NodeCFG.id node)
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{single= List.append preds.single succs.single; sum= List.append preds.sum succs.sum} acc
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in
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let constraints =
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List.fold (NodeCFG.nodes node_cfg) ~f:compute_node_constraints ~init:Node.IdMap.empty
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in
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in
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let constraints = List.fold (NodeCFG.nodes node_cfg) ~f:compute_node_constraints ~init:[] in
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print_constraints_map constraints ; constraints
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print_constraint_list constraints ; constraints
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end
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end
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(* MinTree is used to compute:
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(* MinTree is used to compute:
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@ -317,17 +311,6 @@ module MinTree = struct
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match node with Plus l -> Plus (child :: l) | Min l -> Min (child :: l) | _ -> assert false
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match node with Plus l -> Plus (child :: l) | Min l -> Min (child :: l) | _ -> assert false
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(* finds the subset of constraints of the form x_k <= x_j *)
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let get_k_single_constraints constraints k =
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List.filter_map constraints ~f:(StructuralConstraints.is_single ~lhs:k)
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(* finds the subset of constraints of the form x_k <= x_j1 +...+ x_jn and
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return the addends of the sum x_j1+x_j2+..+x_j_n*)
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let get_k_sum_constraints constraints k =
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List.filter_map constraints ~f:(StructuralConstraints.is_sum ~lhs:k)
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let rec evaluate_tree t =
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let rec evaluate_tree t =
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match t with
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match t with
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| Leaf (_, c) ->
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| Leaf (_, c) ->
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@ -361,7 +344,8 @@ return the addends of the sum x_j1+x_j2+..+x_j_n*)
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type t = Node.id * Node.IdSet.t [@@deriving compare]
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type t = Node.id * Node.IdSet.t [@@deriving compare]
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end)
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end)
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let minimum_propagation (bound_map: BoundMap.t) (constraints: StructuralConstraints.t list) self
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let minimum_propagation (bound_map: BoundMap.t)
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(constraints: StructuralConstraints.t Node.IdMap.t) self
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((q, visited): Node.id * Node.IdSet.t) =
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((q, visited): Node.id * Node.IdSet.t) =
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let rec build_min node branch visited_acc worklist =
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let rec build_min node branch visited_acc worklist =
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match worklist with
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match worklist with
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@ -372,19 +356,18 @@ return the addends of the sum x_j1+x_j2+..+x_j_n*)
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else
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else
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let visited_acc' = Node.IdSet.add k visited_acc in
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let visited_acc' = Node.IdSet.add k visited_acc in
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let node = add_leaf node k (BoundMap.upperbound bound_map k) in
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let node = add_leaf node k (BoundMap.upperbound bound_map k) in
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let k_constraints_upperbound = get_k_single_constraints constraints k in
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let k_constraints = StructuralConstraints.get_constraints_of_node constraints k in
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let worklist' =
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let worklist' =
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List.fold k_constraints_upperbound ~init:rest ~f:(fun acc ub_id ->
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List.fold k_constraints.single ~init:rest ~f:(fun acc ub_id ->
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if Node.IdSet.mem ub_id visited_acc' then acc else ub_id :: acc )
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if Node.IdSet.mem ub_id visited_acc' then acc else ub_id :: acc )
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in
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in
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let k_sum_constraints = get_k_sum_constraints constraints k in
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let branch =
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let branch =
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List.fold_left
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List.fold_left
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~f:(fun branch set_addend ->
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~f:(fun branch set_addend ->
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if Node.IdSet.is_empty (Node.IdSet.inter set_addend visited_acc') then
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if Node.IdSet.is_empty (Node.IdSet.inter set_addend visited_acc') then
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SetOfSetsOfNodes.add set_addend branch
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SetOfSetsOfNodes.add set_addend branch
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else branch )
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else branch )
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~init:branch k_sum_constraints
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~init:branch k_constraints.sum
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in
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in
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build_min node branch visited_acc' worklist'
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build_min node branch visited_acc' worklist'
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in
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in
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