0.05/0.16	WORST_CASE(?,O(n^1))  
0.05/0.16	
0.05/0.16	Preprocessing Cost Relations
0.05/0.16	=====================================
0.05/0.16	
0.05/0.16	#### Computed strongly connected components 
0.05/0.16	0. recursive  : [eval_foo_bb1_in/5,eval_foo_bb2_in/5]
0.05/0.16	1. non_recursive  : [eval_foo_stop/1]
0.05/0.16	2. non_recursive  : [eval_foo_bb3_in/1]
0.05/0.16	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.05/0.16	4. non_recursive  : [eval_foo_bb0_in/5]
0.05/0.16	5. non_recursive  : [eval_foo_start/5]
0.05/0.16	
0.05/0.16	#### Obtained direct recursion through partial evaluation 
0.05/0.16	0. SCC is partially evaluated into eval_foo_bb1_in/5
0.05/0.16	1. SCC is completely evaluated into other SCCs
0.05/0.16	2. SCC is completely evaluated into other SCCs
0.05/0.16	3. SCC is completely evaluated into other SCCs
0.05/0.16	4. SCC is partially evaluated into eval_foo_bb0_in/5
0.05/0.16	5. SCC is partially evaluated into eval_foo_start/5
0.05/0.16	
0.05/0.16	Control-Flow Refinement of Cost Relations
0.05/0.16	=====================================
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_foo_bb1_in/5 
0.05/0.16	* CE 8 is refined into CE [9] 
0.05/0.16	* CE 7 is discarded (unfeasible) 
0.05/0.16	* CE 6 is refined into CE [10] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_foo_bb1_in/5 
0.05/0.16	* CEs [10] --> Loop 9 
0.05/0.16	* CEs [9] --> Loop 10 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_foo_bb1_in(V_a,V_b,V__01,V__0,B) 
0.05/0.16	* RF of phase [9]: [V__01/2+1/2]
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_foo_bb1_in(V_a,V_b,V__01,V__0,B) 
0.05/0.16	* Partial RF of phase [9]:
0.05/0.16	  - RF of loop [9:1]:
0.05/0.16	    V__01/2+1/2
0.05/0.16	
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_foo_bb0_in/5 
0.05/0.16	* CE 3 is refined into CE [11] 
0.05/0.16	* CE 2 is refined into CE [12] 
0.05/0.16	* CE 4 is refined into CE [13] 
0.05/0.16	* CE 5 is refined into CE [14,15] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_foo_bb0_in/5 
0.05/0.16	* CEs [11] --> Loop 11 
0.05/0.16	* CEs [12] --> Loop 12 
0.05/0.16	* CEs [13] --> Loop 13 
0.05/0.16	* CEs [15] --> Loop 14 
0.05/0.16	* CEs [14] --> Loop 15 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_a,V_b,B) 
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_a,V_b,B) 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_foo_start/5 
0.05/0.16	* CE 1 is refined into CE [16,17,18,19,20] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_foo_start/5 
0.05/0.16	* CEs [20] --> Loop 16 
0.05/0.16	* CEs [19] --> Loop 17 
0.05/0.16	* CEs [18] --> Loop 18 
0.05/0.16	* CEs [17] --> Loop 19 
0.05/0.16	* CEs [16] --> Loop 20 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_foo_start(V_x,V_y,V_a,V_b,B) 
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_a,V_b,B) 
0.05/0.16	
0.05/0.16	
0.05/0.16	Computing Bounds
0.05/0.16	=====================================
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_foo_bb1_in(V_a,V_b,V__01,V__0,B):
0.05/0.16	* Chain [[9],10]: 1*it(9)+0
0.05/0.16	  Such that:it(9) =< V__01/2+1/2
0.05/0.16	
0.05/0.16	  with precondition: [B=2,V_a=V_b+1,0>=V__0+1,V__01>=0] 
0.05/0.16	
0.05/0.16	* Chain [10]: 0
0.05/0.16	  with precondition: [B=2,V_b+1=V_a,0>=V__01+1,0>=V__0+1] 
0.05/0.16	
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_foo_bb0_in(V_x,V_y,V_a,V_b,B):
0.05/0.16	* Chain [15]: 0
0.05/0.16	  with precondition: [V_b+1=V_a,0>=V_x+1,0>=V_y+1] 
0.05/0.16	
0.05/0.16	* Chain [14]: 1*s(1)+0
0.05/0.16	  Such that:s(1) =< V_y/2+1/2
0.05/0.16	
0.05/0.16	  with precondition: [V_b+1=V_a,0>=V_x+1,V_y>=0] 
0.05/0.16	
0.05/0.16	* Chain [13]: 0
0.05/0.16	  with precondition: [V_x>=0] 
0.05/0.16	
0.05/0.16	* Chain [12]: 0
0.05/0.16	  with precondition: [V_b>=V_a] 
0.05/0.16	
0.05/0.16	* Chain [11]: 0
0.05/0.16	  with precondition: [V_a>=V_b+2] 
0.05/0.16	
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_foo_start(V_x,V_y,V_a,V_b,B):
0.05/0.16	* Chain [20]: 0
0.05/0.16	  with precondition: [V_b+1=V_a,0>=V_x+1,0>=V_y+1] 
0.05/0.16	
0.05/0.16	* Chain [19]: 1*s(2)+0
0.05/0.16	  Such that:s(2) =< V_y/2+1/2
0.05/0.16	
0.05/0.16	  with precondition: [V_b+1=V_a,0>=V_x+1,V_y>=0] 
0.05/0.16	
0.05/0.16	* Chain [18]: 0
0.05/0.16	  with precondition: [V_x>=0] 
0.05/0.16	
0.05/0.16	* Chain [17]: 0
0.05/0.16	  with precondition: [V_b>=V_a] 
0.05/0.16	
0.05/0.16	* Chain [16]: 0
0.05/0.16	  with precondition: [V_a>=V_b+2] 
0.05/0.16	
0.05/0.16	
0.05/0.16	Closed-form bounds of eval_foo_start(V_x,V_y,V_a,V_b,B): 
0.05/0.16	-------------------------------------
0.05/0.16	* Chain [20] with precondition: [V_b+1=V_a,0>=V_x+1,0>=V_y+1] 
0.05/0.16	    - Upper bound: 0 
0.05/0.16	    - Complexity: constant 
0.05/0.16	* Chain [19] with precondition: [V_b+1=V_a,0>=V_x+1,V_y>=0] 
0.05/0.16	    - Upper bound: V_y/2+1/2 
0.05/0.16	    - Complexity: n 
0.05/0.16	* Chain [18] with precondition: [V_x>=0] 
0.05/0.16	    - Upper bound: 0 
0.05/0.16	    - Complexity: constant 
0.05/0.16	* Chain [17] with precondition: [V_b>=V_a] 
0.05/0.16	    - Upper bound: 0 
0.05/0.16	    - Complexity: constant 
0.05/0.16	* Chain [16] with precondition: [V_a>=V_b+2] 
0.05/0.16	    - Upper bound: 0 
0.05/0.16	    - Complexity: constant 
0.05/0.16	
0.05/0.16	### Maximum cost of eval_foo_start(V_x,V_y,V_a,V_b,B): nat(V_y/2+1/2) 
0.05/0.16	Asymptotic class: n 
0.05/0.16	* Total analysis performed in 92 ms.
0.05/0.16	
0.05/0.26	EOF