0.03/0.11	WORST_CASE(?,O(n^1))  
0.03/0.11	
0.03/0.11	Preprocessing Cost Relations
0.03/0.11	=====================================
0.03/0.11	
0.03/0.11	#### Computed strongly connected components 
0.03/0.11	0. recursive  : [merge/3]
0.03/0.11	1. non_recursive  : [exit_location/1]
0.03/0.11	2. non_recursive  : [merge_loop_cont/2]
0.03/0.11	3. non_recursive  : [start/3]
0.03/0.11	
0.03/0.11	#### Obtained direct recursion through partial evaluation 
0.03/0.11	0. SCC is partially evaluated into merge/3
0.03/0.11	1. SCC is completely evaluated into other SCCs
0.03/0.11	2. SCC is completely evaluated into other SCCs
0.03/0.11	3. SCC is partially evaluated into start/3
0.03/0.11	
0.03/0.11	Control-Flow Refinement of Cost Relations
0.03/0.11	=====================================
0.03/0.11	
0.03/0.11	### Specialization of cost equations merge/3 
0.03/0.11	* CE 4 is refined into CE [5] 
0.03/0.11	* CE 2 is refined into CE [6] 
0.03/0.11	* CE 3 is refined into CE [7] 
0.03/0.11	
0.03/0.11	
0.03/0.11	### Cost equations --> "Loop" of merge/3 
0.03/0.11	* CEs [6] --> Loop 5 
0.03/0.11	* CEs [7] --> Loop 6 
0.03/0.11	* CEs [5] --> Loop 7 
0.03/0.11	
0.03/0.11	### Ranking functions of CR merge(A,B,C) 
0.03/0.11	* RF of phase [5,6]: [A+B-1]
0.03/0.11	
0.03/0.11	#### Partial ranking functions of CR merge(A,B,C) 
0.03/0.11	* Partial RF of phase [5,6]:
0.03/0.11	  - RF of loop [5:1]:
0.03/0.11	    A
0.03/0.11	  - RF of loop [6:1]:
0.03/0.11	    B
0.03/0.11	
0.03/0.11	
0.03/0.11	### Specialization of cost equations start/3 
0.03/0.11	* CE 1 is refined into CE [8,9] 
0.03/0.11	
0.03/0.11	
0.03/0.11	### Cost equations --> "Loop" of start/3 
0.03/0.11	* CEs [9] --> Loop 8 
0.03/0.11	* CEs [8] --> Loop 9 
0.03/0.11	
0.03/0.11	### Ranking functions of CR start(A,B,C) 
0.03/0.11	
0.03/0.11	#### Partial ranking functions of CR start(A,B,C) 
0.03/0.11	
0.03/0.11	
0.03/0.11	Computing Bounds
0.03/0.11	=====================================
0.03/0.11	
0.03/0.11	#### Cost of chains of merge(A,B,C):
0.03/0.11	* Chain [[5,6],7]: 1*it(5)+1*it(6)+0
0.03/0.11	  Such that:it(5) =< A
0.03/0.11	it(6) =< B
0.03/0.11	aux(3) =< A+B
0.03/0.11	it(5) =< aux(3)
0.03/0.11	it(6) =< aux(3)
0.03/0.11	
0.03/0.11	  with precondition: [C=2,A>=1,B>=1] 
0.03/0.11	
0.03/0.11	* Chain [7]: 0
0.03/0.11	  with precondition: [C=2] 
0.03/0.11	
0.03/0.11	
0.03/0.11	#### Cost of chains of start(A,B,C):
0.03/0.11	* Chain [9]: 0
0.03/0.11	  with precondition: [] 
0.03/0.11	
0.03/0.11	* Chain [8]: 1*s(1)+1*s(2)+0
0.03/0.11	  Such that:s(1) =< A
0.03/0.11	s(3) =< A+B
0.03/0.11	s(2) =< B
0.03/0.11	s(1) =< s(3)
0.03/0.11	s(2) =< s(3)
0.03/0.11	
0.03/0.11	  with precondition: [A>=1,B>=1] 
0.03/0.11	
0.03/0.11	
0.03/0.11	Closed-form bounds of start(A,B,C): 
0.03/0.11	-------------------------------------
0.03/0.11	* Chain [9] with precondition: [] 
0.03/0.11	    - Upper bound: 0 
0.03/0.11	    - Complexity: constant 
0.03/0.11	* Chain [8] with precondition: [A>=1,B>=1] 
0.03/0.11	    - Upper bound: A+B 
0.03/0.11	    - Complexity: n 
0.03/0.11	
0.03/0.11	### Maximum cost of start(A,B,C): nat(B)+nat(A) 
0.03/0.11	Asymptotic class: n 
0.03/0.11	* Total analysis performed in 51 ms.
0.03/0.11	
0.03/0.21	EOF