0.04/0.15	MAYBE
0.04/0.15	
0.04/0.15	Preprocessing Cost Relations
0.04/0.15	=====================================
0.04/0.15	
0.04/0.15	#### Computed strongly connected components 
0.04/0.15	0. recursive  : [eval_foo_bb1_in/4,eval_foo_bb2_in/4]
0.04/0.15	1. non_recursive  : [eval_foo_stop/1]
0.04/0.15	2. non_recursive  : [eval_foo_bb3_in/1]
0.04/0.15	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.04/0.15	4. non_recursive  : [eval_foo_bb0_in/4]
0.04/0.15	5. non_recursive  : [eval_foo_start/4]
0.04/0.15	
0.04/0.15	#### Obtained direct recursion through partial evaluation 
0.04/0.15	0. SCC is partially evaluated into eval_foo_bb1_in/4
0.04/0.15	1. SCC is completely evaluated into other SCCs
0.04/0.15	2. SCC is completely evaluated into other SCCs
0.04/0.15	3. SCC is completely evaluated into other SCCs
0.04/0.15	4. SCC is partially evaluated into eval_foo_bb0_in/4
0.04/0.15	5. SCC is partially evaluated into eval_foo_start/4
0.04/0.15	
0.04/0.15	Control-Flow Refinement of Cost Relations
0.04/0.15	=====================================
0.04/0.15	
0.04/0.15	### Specialization of cost equations eval_foo_bb1_in/4 
0.04/0.15	* CE 7 is refined into CE [8] 
0.04/0.15	* CE 5 is refined into CE [9] 
0.04/0.15	* CE 6 is refined into CE [10] 
0.04/0.15	* CE 4 is refined into CE [11] 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Cost equations --> "Loop" of eval_foo_bb1_in/4 
0.04/0.15	* CEs [11] --> Loop 8 
0.04/0.15	* CEs [8] --> Loop 9 
0.04/0.15	* CEs [9] --> Loop 10 
0.04/0.15	* CEs [10] --> Loop 11 
0.04/0.15	
0.04/0.15	### Ranking functions of CR eval_foo_bb1_in(V_y,V_z,V__0,B) 
0.04/0.15	
0.04/0.15	#### Partial ranking functions of CR eval_foo_bb1_in(V_y,V_z,V__0,B) 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Specialization of cost equations eval_foo_bb0_in/4 
0.04/0.15	* CE 3 is refined into CE [12,13,14,15,16] 
0.04/0.15	* CE 2 is refined into CE [17] 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Cost equations --> "Loop" of eval_foo_bb0_in/4 
0.04/0.15	* CEs [17] --> Loop 12 
0.04/0.15	* CEs [15] --> Loop 13 
0.04/0.15	* CEs [13] --> Loop 14 
0.04/0.15	* CEs [14] --> Loop 15 
0.04/0.15	* CEs [12] --> Loop 16 
0.04/0.15	* CEs [16] --> Loop 17 
0.04/0.15	
0.04/0.15	### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 
0.04/0.15	
0.04/0.15	#### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Specialization of cost equations eval_foo_start/4 
0.04/0.15	* CE 1 is refined into CE [18,19,20,21,22,23] 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Cost equations --> "Loop" of eval_foo_start/4 
0.04/0.15	* CEs [23] --> Loop 18 
0.04/0.15	* CEs [22] --> Loop 19 
0.04/0.15	* CEs [21] --> Loop 20 
0.04/0.15	* CEs [20] --> Loop 21 
0.04/0.15	* CEs [19] --> Loop 22 
0.04/0.15	* CEs [18] --> Loop 23 
0.04/0.15	
0.04/0.15	### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 
0.04/0.15	
0.04/0.15	#### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 
0.04/0.15	
0.04/0.15	
0.04/0.15	Computing Bounds
0.04/0.15	=====================================
0.04/0.15	
0.04/0.15	#### Cost of chains of eval_foo_bb1_in(V_y,V_z,V__0,B):
0.04/0.15	* Chain [[8]]...: 1*it(8)+0
0.04/0.15	  with precondition: [V__0>=0,2*V_y>=1,V_z=1,B=2] 
0.04/0.15	
0.04/0.15	* Chain [[8],10]: 1*it(8)+0
0.04/0.15	  with precondition: [V_z=1,B=2,V_y>=1,V__0>=0] 
0.04/0.15	
0.04/0.15	* Chain [11]: 0
0.04/0.15	  with precondition: [B=2,0>=V_z,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [10]: 0
0.04/0.15	  with precondition: [B=2,0>=V__0+1,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [9]: 0
0.04/0.15	  with precondition: [B=2,V_z>=2,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	
0.04/0.15	#### Cost of chains of eval_foo_bb0_in(V_x,V_y,V_z,B):
0.04/0.15	* Chain [17]...: 1*s(1)+0
0.04/0.15	  with precondition: [V_z=1,V_x>=0,2*V_y>=1] 
0.04/0.15	
0.04/0.15	* Chain [16]: 1*s(2)+0
0.04/0.15	  with precondition: [V_z=1,V_x>=0,V_y>=1] 
0.04/0.15	
0.04/0.15	* Chain [15]: 0
0.04/0.15	  with precondition: [0>=V_x+1,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [14]: 0
0.04/0.15	  with precondition: [0>=V_z,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [13]: 0
0.04/0.15	  with precondition: [V_z>=2,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [12]: 0
0.04/0.15	  with precondition: [V_z>=2*V_y+1] 
0.04/0.15	
0.04/0.15	
0.04/0.15	#### Cost of chains of eval_foo_start(V_x,V_y,V_z,B):
0.04/0.15	* Chain [23]: 1*s(3)+0
0.04/0.15	  with precondition: [V_z=1,V_x>=0,V_y>=1] 
0.04/0.15	
0.04/0.15	* Chain [22]: 0
0.04/0.15	  with precondition: [0>=V_x+1,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [21]: 0
0.04/0.15	  with precondition: [0>=V_z,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [20]: 0
0.04/0.15	  with precondition: [V_z>=2,2*V_y>=V_z] 
0.04/0.15	
0.04/0.15	* Chain [19]: 0
0.04/0.15	  with precondition: [V_z>=2*V_y+1] 
0.04/0.15	
0.04/0.15	* Chain [18]...: 1*s(4)+0
0.04/0.15	  with precondition: [V_z=1,V_x>=0,2*V_y>=1] 
0.04/0.15	
0.04/0.15	
0.04/0.15	Closed-form bounds of eval_foo_start(V_x,V_y,V_z,B): 
0.04/0.15	-------------------------------------
0.04/0.15	* Chain [23] with precondition: [V_z=1,V_x>=0,V_y>=1] 
0.04/0.15	    - Upper bound: inf 
0.04/0.15	    - Complexity: infinity 
0.04/0.15	* Chain [22] with precondition: [0>=V_x+1,2*V_y>=V_z] 
0.04/0.15	    - Upper bound: 0 
0.04/0.15	    - Complexity: constant 
0.04/0.15	* Chain [21] with precondition: [0>=V_z,2*V_y>=V_z] 
0.04/0.15	    - Upper bound: 0 
0.04/0.15	    - Complexity: constant 
0.04/0.15	* Chain [20] with precondition: [V_z>=2,2*V_y>=V_z] 
0.04/0.15	    - Upper bound: 0 
0.04/0.15	    - Complexity: constant 
0.04/0.15	* Chain [19] with precondition: [V_z>=2*V_y+1] 
0.04/0.15	    - Upper bound: 0 
0.04/0.15	    - Complexity: constant 
0.04/0.15	* Chain [18]... with precondition: [V_z=1,V_x>=0,2*V_y>=1] 
0.04/0.15	    - Upper bound: inf 
0.04/0.15	    - Complexity: infinity 
0.04/0.15	
0.04/0.15	### Maximum cost of eval_foo_start(V_x,V_y,V_z,B): inf 
0.04/0.15	Asymptotic class: infinity 
0.04/0.15	* Total analysis performed in 85 ms.
0.04/0.15	
0.04/0.26	EOF