0.05/0.13	WORST_CASE(?,O(1))  
0.05/0.13	
0.05/0.13	Preprocessing Cost Relations
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	#### Computed strongly connected components 
0.05/0.13	0. recursive  : [eval_foo_bb2_in/3,eval_foo_bb3_in/3]
0.05/0.13	1. recursive  : [eval_foo_bb1_in/2,eval_foo_bb2_in_loop_cont/4,eval_foo_bb4_in/3]
0.05/0.13	2. non_recursive  : [eval_foo_stop/1]
0.05/0.13	3. non_recursive  : [eval_foo_bb5_in/1]
0.05/0.13	4. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.05/0.13	5. non_recursive  : [eval_foo_bb0_in/1]
0.05/0.13	6. non_recursive  : [eval_foo_start/4]
0.05/0.13	
0.05/0.13	#### Obtained direct recursion through partial evaluation 
0.05/0.13	0. SCC is partially evaluated into eval_foo_bb2_in/3
0.05/0.13	1. SCC is partially evaluated into eval_foo_bb1_in/2
0.05/0.13	2. SCC is completely evaluated into other SCCs
0.05/0.13	3. SCC is completely evaluated into other SCCs
0.05/0.13	4. SCC is completely evaluated into other SCCs
0.05/0.13	5. SCC is partially evaluated into eval_foo_bb0_in/1
0.05/0.13	6. SCC is partially evaluated into eval_foo_start/4
0.05/0.13	
0.05/0.13	Control-Flow Refinement of Cost Relations
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb2_in/3 
0.05/0.13	* CE 6 is refined into CE [7] 
0.05/0.13	* CE 5 is refined into CE [8] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb2_in/3 
0.05/0.13	* CEs [8] --> Loop 7 
0.05/0.13	* CEs [7] --> Loop 8 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb2_in(V__01,B,C) 
0.05/0.13	* RF of phase [7]: [-V__01+12]
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb2_in(V__01,B,C) 
0.05/0.13	* Partial RF of phase [7]:
0.05/0.13	  - RF of loop [7:1]:
0.05/0.13	    -V__01+12
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb1_in/2 
0.05/0.13	* CE 4 is refined into CE [9] 
0.05/0.13	* CE 3 is refined into CE [10] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb1_in/2 
0.05/0.13	* CEs [10] --> Loop 9 
0.05/0.13	* CEs [9] --> Loop 10 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb1_in(V__0,B) 
0.05/0.13	* RF of phase [9]: [-V__0+10]
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 
0.05/0.13	* Partial RF of phase [9]:
0.05/0.13	  - RF of loop [9:1]:
0.05/0.13	    -V__0+10
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb0_in/1 
0.05/0.13	* CE 2 is refined into CE [11] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb0_in/1 
0.05/0.13	* CEs [11] --> Loop 11 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb0_in(B) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb0_in(B) 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_start/4 
0.05/0.13	* CE 1 is refined into CE [12] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_start/4 
0.05/0.13	* CEs [12] --> Loop 12 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_start(V_i,V_j,V_c,B) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_start(V_i,V_j,V_c,B) 
0.05/0.13	
0.05/0.13	
0.05/0.13	Computing Bounds
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb2_in(V__01,B,C):
0.05/0.13	* Chain [[7],8]: 1*it(7)+0
0.05/0.13	  Such that:it(7) =< -V__01+12
0.05/0.13	
0.05/0.13	  with precondition: [B=2,C=12,11>=V__01,V__01>=3] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb1_in(V__0,B):
0.05/0.13	* Chain [[9],10]: 1*it(9)+1*s(3)+0
0.05/0.13	  Such that:aux(4) =< -V__0+10
0.05/0.13	it(9) =< aux(4)
0.05/0.13	s(3) =< aux(4)*9
0.05/0.13	
0.05/0.13	  with precondition: [B=3,9>=V__0,V__0>=0] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb0_in(B):
0.05/0.13	* Chain [11]: 1*s(5)+1*s(6)+0
0.05/0.13	  Such that:s(4) =< 10
0.05/0.13	s(5) =< s(4)
0.05/0.13	s(6) =< s(4)*9
0.05/0.13	
0.05/0.13	  with precondition: [] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_start(V_i,V_j,V_c,B):
0.05/0.13	* Chain [12]: 1*s(8)+1*s(9)+0
0.05/0.13	  Such that:s(7) =< 10
0.05/0.13	s(8) =< s(7)
0.05/0.13	s(9) =< s(7)*9
0.05/0.13	
0.05/0.13	  with precondition: [] 
0.05/0.13	
0.05/0.13	
0.05/0.13	Closed-form bounds of eval_foo_start(V_i,V_j,V_c,B): 
0.05/0.13	-------------------------------------
0.05/0.13	* Chain [12] with precondition: [] 
0.05/0.13	    - Upper bound: 100 
0.05/0.13	    - Complexity: constant 
0.05/0.13	
0.05/0.13	### Maximum cost of eval_foo_start(V_i,V_j,V_c,B): 100 
0.05/0.13	Asymptotic class: constant 
0.05/0.13	* Total analysis performed in 60 ms.
0.05/0.13	
0.05/0.23	EOF