0.03/0.15	WORST_CASE(?,O(n^1))  
0.03/0.15	
0.03/0.15	Preprocessing Cost Relations
0.03/0.15	=====================================
0.03/0.15	
0.03/0.15	#### Computed strongly connected components 
0.03/0.15	0. recursive  : [eval2/5]
0.03/0.15	1. recursive  : [eval1/3,eval2_loop_cont/4]
0.03/0.15	2. non_recursive  : [exit_location/1]
0.03/0.15	3. non_recursive  : [eval1_loop_cont/2]
0.03/0.15	4. non_recursive  : [start/3]
0.03/0.15	
0.03/0.15	#### Obtained direct recursion through partial evaluation 
0.03/0.15	0. SCC is partially evaluated into eval2/5
0.03/0.15	1. SCC is partially evaluated into eval1/3
0.03/0.15	2. SCC is completely evaluated into other SCCs
0.03/0.15	3. SCC is completely evaluated into other SCCs
0.03/0.15	4. SCC is partially evaluated into start/3
0.03/0.15	
0.03/0.15	Control-Flow Refinement of Cost Relations
0.03/0.15	=====================================
0.03/0.15	
0.03/0.15	### Specialization of cost equations eval2/5 
0.03/0.15	* CE 7 is refined into CE [8] 
0.03/0.15	* CE 6 is refined into CE [9] 
0.03/0.15	* CE 5 is refined into CE [10] 
0.03/0.15	
0.03/0.15	
0.03/0.15	### Cost equations --> "Loop" of eval2/5 
0.03/0.15	* CEs [10] --> Loop 8 
0.03/0.15	* CEs [8] --> Loop 9 
0.03/0.15	* CEs [9] --> Loop 10 
0.03/0.15	
0.03/0.15	### Ranking functions of CR eval2(A,B,C,D,E) 
0.03/0.15	* RF of phase [8]: [A,B]
0.03/0.15	
0.03/0.15	#### Partial ranking functions of CR eval2(A,B,C,D,E) 
0.03/0.15	* Partial RF of phase [8]:
0.03/0.15	  - RF of loop [8:1]:
0.03/0.15	    A
0.03/0.15	    B
0.03/0.15	
0.03/0.15	
0.03/0.15	### Specialization of cost equations eval1/3 
0.03/0.15	* CE 2 is refined into CE [11,12] 
0.03/0.15	* CE 4 is refined into CE [13] 
0.03/0.15	* CE 3 is refined into CE [14] 
0.03/0.15	
0.03/0.15	
0.03/0.15	### Cost equations --> "Loop" of eval1/3 
0.03/0.15	* CEs [14] --> Loop 11 
0.03/0.15	* CEs [11,12] --> Loop 12 
0.03/0.15	* CEs [13] --> Loop 13 
0.03/0.15	
0.03/0.15	### Ranking functions of CR eval1(A,B,C) 
0.03/0.15	
0.03/0.15	#### Partial ranking functions of CR eval1(A,B,C) 
0.03/0.15	
0.03/0.15	
0.03/0.15	### Specialization of cost equations start/3 
0.03/0.15	* CE 1 is refined into CE [15,16] 
0.03/0.15	
0.03/0.15	
0.03/0.15	### Cost equations --> "Loop" of start/3 
0.03/0.15	* CEs [16] --> Loop 14 
0.03/0.15	* CEs [15] --> Loop 15 
0.03/0.15	
0.03/0.15	### Ranking functions of CR start(A,B,C) 
0.03/0.15	
0.03/0.15	#### Partial ranking functions of CR start(A,B,C) 
0.03/0.15	
0.03/0.15	
0.03/0.15	Computing Bounds
0.03/0.15	=====================================
0.03/0.15	
0.03/0.15	#### Cost of chains of eval2(A,B,C,D,E):
0.03/0.15	* Chain [[8],10]: 1*it(8)+0
0.03/0.15	  Such that:it(8) =< A
0.03/0.15	
0.03/0.15	  with precondition: [C=2,D=0,E=0,A=B,A>=1] 
0.03/0.15	
0.03/0.15	* Chain [[8],9]: 1*it(8)+0
0.03/0.15	  Such that:it(8) =< A
0.03/0.15	
0.03/0.15	  with precondition: [C=3,A=B,A>=1] 
0.03/0.15	
0.03/0.15	* Chain [9]: 0
0.03/0.15	  with precondition: [C=3,B=A,B>=0] 
0.03/0.15	
0.03/0.15	
0.03/0.15	#### Cost of chains of eval1(A,B,C):
0.03/0.15	* Chain [13]: 0
0.03/0.15	  with precondition: [C=3] 
0.03/0.15	
0.03/0.15	* Chain [12]: 1*s(1)+0
0.03/0.15	  Such that:s(1) =< B
0.03/0.15	
0.03/0.15	  with precondition: [C=3,A=B,A>=1] 
0.03/0.15	
0.03/0.15	* Chain [11,13]: 1*s(2)+1
0.03/0.15	  Such that:s(2) =< A
0.03/0.15	
0.03/0.15	  with precondition: [C=3,A=B,A>=1] 
0.03/0.15	
0.03/0.15	
0.03/0.15	#### Cost of chains of start(A,B,C):
0.03/0.15	* Chain [15]: 0
0.03/0.15	  with precondition: [] 
0.03/0.15	
0.03/0.15	* Chain [14]: 2*s(5)+1
0.03/0.15	  Such that:aux(1) =< B
0.03/0.15	s(5) =< aux(1)
0.03/0.15	
0.03/0.15	  with precondition: [A=B,A>=1] 
0.03/0.15	
0.03/0.15	
0.03/0.15	Closed-form bounds of start(A,B,C): 
0.03/0.15	-------------------------------------
0.03/0.15	* Chain [15] with precondition: [] 
0.03/0.15	    - Upper bound: 0 
0.03/0.15	    - Complexity: constant 
0.03/0.15	* Chain [14] with precondition: [A=B,A>=1] 
0.03/0.15	    - Upper bound: 2*B+1 
0.03/0.15	    - Complexity: n 
0.03/0.15	
0.03/0.15	### Maximum cost of start(A,B,C): nat(B)*2+1 
0.03/0.15	Asymptotic class: n 
0.03/0.15	* Total analysis performed in 89 ms.
0.03/0.15	
0.03/0.25	EOF