0.05/0.74	WORST_CASE(?,O(n^1))  
0.05/0.74	
0.05/0.74	Preprocessing Cost Relations
0.05/0.74	=====================================
0.05/0.74	
0.05/0.74	#### Computed strongly connected components 
0.05/0.74	0. recursive  : [eval_foo_bb1_in/3,eval_foo_bb2_in/3]
0.05/0.74	1. non_recursive  : [eval_foo_stop/1]
0.05/0.74	2. non_recursive  : [eval_foo_bb3_in/1]
0.05/0.74	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.05/0.74	4. non_recursive  : [eval_foo_bb0_in/3]
0.05/0.74	5. non_recursive  : [eval_foo_start/4]
0.05/0.74	
0.05/0.74	#### Obtained direct recursion through partial evaluation 
0.05/0.74	0. SCC is partially evaluated into eval_foo_bb1_in/3
0.05/0.74	1. SCC is completely evaluated into other SCCs
0.05/0.74	2. SCC is completely evaluated into other SCCs
0.05/0.74	3. SCC is completely evaluated into other SCCs
0.05/0.74	4. SCC is partially evaluated into eval_foo_bb0_in/3
0.05/0.74	5. SCC is partially evaluated into eval_foo_start/4
0.05/0.74	
0.05/0.74	Control-Flow Refinement of Cost Relations
0.05/0.74	=====================================
0.05/0.74	
0.05/0.74	### Specialization of cost equations eval_foo_bb1_in/3 
0.05/0.74	* CE 4 is refined into CE [5] 
0.05/0.74	* CE 3 is refined into CE [6] 
0.05/0.74	
0.05/0.74	
0.05/0.74	### Cost equations --> "Loop" of eval_foo_bb1_in/3 
0.05/0.74	* CEs [6] --> Loop 5 
0.05/0.74	* CEs [5] --> Loop 6 
0.05/0.74	
0.05/0.74	### Ranking functions of CR eval_foo_bb1_in(V_x,V__01,B) 
0.05/0.74	* RF of phase [5]: [V_x-V__01]
0.05/0.74	
0.05/0.74	#### Partial ranking functions of CR eval_foo_bb1_in(V_x,V__01,B) 
0.05/0.74	* Partial RF of phase [5]:
0.05/0.74	  - RF of loop [5:1]:
0.05/0.74	    V_x-V__01
0.05/0.74	
0.05/0.74	
0.05/0.74	### Specialization of cost equations eval_foo_bb0_in/3 
0.05/0.74	* CE 2 is refined into CE [7,8] 
0.05/0.74	
0.05/0.74	
0.05/0.74	### Cost equations --> "Loop" of eval_foo_bb0_in/3 
0.05/0.74	* CEs [8] --> Loop 7 
0.05/0.74	* CEs [7] --> Loop 8 
0.05/0.74	
0.05/0.74	### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 
0.05/0.74	
0.05/0.74	#### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 
0.05/0.74	
0.05/0.74	
0.05/0.74	### Specialization of cost equations eval_foo_start/4 
0.05/0.74	* CE 1 is refined into CE [9,10] 
0.05/0.74	
0.05/0.74	
0.05/0.74	### Cost equations --> "Loop" of eval_foo_start/4 
0.05/0.74	* CEs [10] --> Loop 9 
0.05/0.74	* CEs [9] --> Loop 10 
0.05/0.74	
0.05/0.74	### Ranking functions of CR eval_foo_start(V_c,V_x,V_y,B) 
0.05/0.74	
0.05/0.74	#### Partial ranking functions of CR eval_foo_start(V_c,V_x,V_y,B) 
0.05/0.74	
0.05/0.74	
0.05/0.74	Computing Bounds
0.05/0.74	=====================================
0.05/0.74	
0.05/0.74	#### Cost of chains of eval_foo_bb1_in(V_x,V__01,B):
0.05/0.74	* Chain [[5],6]: 1*it(5)+0
0.05/0.74	  Such that:it(5) =< V_x-V__01
0.05/0.74	
0.05/0.74	  with precondition: [B=2,V_x>=V__01+1] 
0.05/0.74	
0.05/0.74	* Chain [6]: 0
0.05/0.74	  with precondition: [B=2,V__01>=V_x] 
0.05/0.74	
0.05/0.74	
0.05/0.74	#### Cost of chains of eval_foo_bb0_in(V_x,V_y,B):
0.05/0.74	* Chain [8]: 0
0.05/0.74	  with precondition: [V_y>=V_x] 
0.05/0.74	
0.05/0.74	* Chain [7]: 1*s(1)+0
0.05/0.74	  Such that:s(1) =< V_x-V_y
0.05/0.74	
0.05/0.74	  with precondition: [V_x>=V_y+1] 
0.05/0.74	
0.05/0.74	
0.05/0.74	#### Cost of chains of eval_foo_start(V_c,V_x,V_y,B):
0.05/0.74	* Chain [10]: 0
0.05/0.74	  with precondition: [V_y>=V_x] 
0.05/0.74	
0.05/0.74	* Chain [9]: 1*s(2)+0
0.05/0.74	  Such that:s(2) =< V_x-V_y
0.05/0.74	
0.05/0.74	  with precondition: [V_x>=V_y+1] 
0.05/0.74	
0.05/0.74	
0.05/0.74	Closed-form bounds of eval_foo_start(V_c,V_x,V_y,B): 
0.05/0.74	-------------------------------------
0.05/0.74	* Chain [10] with precondition: [V_y>=V_x] 
0.05/0.74	    - Upper bound: 0 
0.05/0.74	    - Complexity: constant 
0.05/0.74	* Chain [9] with precondition: [V_x>=V_y+1] 
0.05/0.74	    - Upper bound: V_x-V_y 
0.05/0.74	    - Complexity: n 
0.05/0.74	
0.05/0.74	### Maximum cost of eval_foo_start(V_c,V_x,V_y,B): nat(V_x-V_y) 
0.05/0.74	Asymptotic class: n 
0.05/0.74	* Total analysis performed in 41 ms.
0.05/0.74	
0.05/0.84	EOF