3.65/3.69	MAYBE
3.65/3.69	
3.65/3.69	Preprocessing Cost Relations
3.65/3.69	=====================================
3.65/3.69	
3.65/3.69	#### Computed strongly connected components 
3.65/3.69	0. recursive  : [eval_foo_1/4,eval_foo_2/5,eval_foo_bb1_in/3,eval_foo_bb2_in/3]
3.65/3.69	1. non_recursive  : [eval_foo_stop/1]
3.65/3.69	2. non_recursive  : [eval_foo_bb3_in/1]
3.65/3.69	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
3.65/3.69	4. non_recursive  : [eval_foo_bb0_in/3]
3.65/3.69	5. non_recursive  : [eval_foo_start/4]
3.65/3.69	
3.65/3.69	#### Obtained direct recursion through partial evaluation 
3.65/3.69	0. SCC is partially evaluated into eval_foo_bb1_in/3
3.65/3.69	1. SCC is completely evaluated into other SCCs
3.65/3.69	2. SCC is completely evaluated into other SCCs
3.65/3.69	3. SCC is completely evaluated into other SCCs
3.65/3.69	4. SCC is partially evaluated into eval_foo_bb0_in/3
3.65/3.69	5. SCC is partially evaluated into eval_foo_start/4
3.65/3.69	
3.65/3.69	Control-Flow Refinement of Cost Relations
3.65/3.69	=====================================
3.65/3.69	
3.65/3.69	### Specialization of cost equations eval_foo_bb1_in/3 
3.65/3.69	* CE 8 is refined into CE [9] 
3.65/3.69	* CE 7 is refined into CE [10] 
3.65/3.69	* CE 6 is refined into CE [11] 
3.65/3.69	* CE 5 is refined into CE [12] 
3.65/3.69	* CE 4 is refined into CE [13] 
3.65/3.69	* CE 3 is refined into CE [14] 
3.65/3.69	
3.65/3.69	
3.65/3.69	### Cost equations --> "Loop" of eval_foo_bb1_in/3 
3.65/3.69	* CEs [11] --> Loop 9 
3.65/3.69	* CEs [12] --> Loop 10 
3.65/3.69	* CEs [13] --> Loop 11 
3.65/3.69	* CEs [14] --> Loop 12 
3.65/3.69	* CEs [9] --> Loop 13 
3.65/3.69	* CEs [10] --> Loop 14 
3.65/3.69	
3.65/3.69	### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
3.65/3.69	
3.65/3.69	#### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
3.65/3.69	* Partial RF of phase [9,10,11,12]:
3.65/3.69	  - RF of loop [9:1]:
3.65/3.69	    V__0 depends on loops [11:1,12:1] 
3.65/3.69	  - RF of loop [10:1]:
3.65/3.69	    V__0/2-1/2 depends on loops [11:1,12:1] 
3.65/3.69	    -V__01/4+V__0/4 depends on loops [11:1,12:1] 
3.65/3.69	  - RF of loop [11:1]:
3.65/3.69	    V__01/2-V__0/2+1/2 depends on loops [9:1,10:1] 
3.65/3.69	  - RF of loop [11:1,12:1]:
3.65/3.69	    V__01 depends on loops [9:1,10:1] 
3.65/3.69	
3.65/3.69	
3.65/3.69	### Specialization of cost equations eval_foo_bb0_in/3 
3.65/3.69	* CE 2 is refined into CE [15,16,17,18] 
3.65/3.69	
3.65/3.69	
3.65/3.69	### Cost equations --> "Loop" of eval_foo_bb0_in/3 
3.65/3.69	* CEs [18] --> Loop 15 
3.65/3.69	* CEs [17] --> Loop 16 
3.65/3.69	* CEs [15] --> Loop 17 
3.65/3.69	* CEs [16] --> Loop 18 
3.65/3.69	
3.65/3.69	### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 
3.65/3.69	
3.65/3.69	#### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 
3.65/3.69	
3.65/3.69	
3.65/3.69	### Specialization of cost equations eval_foo_start/4 
3.65/3.69	* CE 1 is refined into CE [19,20,21,22] 
3.65/3.69	
3.65/3.69	
3.65/3.69	### Cost equations --> "Loop" of eval_foo_start/4 
3.65/3.69	* CEs [22] --> Loop 19 
3.65/3.69	* CEs [21] --> Loop 20 
3.65/3.69	* CEs [20] --> Loop 21 
3.65/3.69	* CEs [19] --> Loop 22 
3.65/3.69	
3.65/3.69	### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 
3.65/3.69	
3.65/3.69	#### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 
3.65/3.69	
3.65/3.69	
3.65/3.69	Computing Bounds
3.65/3.69	=====================================
3.65/3.69	
3.65/3.69	#### Cost of chains of eval_foo_bb1_in(V__01,V__0,B):
3.65/3.69	* Chain [[9,10,11,12]]...: 4*it(9)+0
3.65/3.69	  with precondition: [V__0>=1,V__01>=1,B=2] 
3.65/3.69	
3.65/3.69	* Chain [[9,10,11,12],14]: 4*it(9)+0
3.65/3.69	  with precondition: [B=2,V__01>=1,V__0>=1] 
3.65/3.69	
3.65/3.69	* Chain [[9,10,11,12],13]: 4*it(9)+0
3.65/3.69	  with precondition: [B=2,V__01>=1,V__0>=1] 
3.65/3.69	
3.65/3.69	* Chain [14]: 0
3.65/3.69	  with precondition: [B=2,0>=V__01] 
3.65/3.69	
3.65/3.69	* Chain [13]: 0
3.65/3.69	  with precondition: [B=2,0>=V__0] 
3.65/3.69	
3.65/3.69	
3.65/3.69	#### Cost of chains of eval_foo_bb0_in(V_x,V_y,B):
3.65/3.69	* Chain [18]: 0
3.65/3.69	  with precondition: [0>=V_x] 
3.65/3.69	
3.65/3.69	* Chain [17]: 0
3.65/3.69	  with precondition: [0>=V_y] 
3.65/3.69	
3.65/3.69	* Chain [16]: 1*s(3)+0
3.65/3.69	  with precondition: [V_x>=1,V_y>=1] 
3.65/3.69	
3.65/3.69	* Chain [15]...: 4*s(4)+0
3.65/3.69	  with precondition: [V_x>=1,V_y>=1] 
3.65/3.69	
3.65/3.69	
3.65/3.69	#### Cost of chains of eval_foo_start(V_x,V_y,V_z,B):
3.65/3.69	* Chain [22]: 0
3.65/3.69	  with precondition: [0>=V_x] 
3.65/3.69	
3.65/3.69	* Chain [21]: 0
3.65/3.69	  with precondition: [0>=V_y] 
3.65/3.69	
3.65/3.69	* Chain [20]: 1*s(5)+0
3.65/3.69	  with precondition: [V_x>=1,V_y>=1] 
3.65/3.69	
3.65/3.69	* Chain [19]...: 4*s(6)+0
3.65/3.69	  with precondition: [V_x>=1,V_y>=1] 
3.65/3.69	
3.65/3.69	
3.65/3.69	Closed-form bounds of eval_foo_start(V_x,V_y,V_z,B): 
3.65/3.69	-------------------------------------
3.65/3.69	* Chain [22] with precondition: [0>=V_x] 
3.65/3.69	    - Upper bound: 0 
3.65/3.69	    - Complexity: constant 
3.65/3.69	* Chain [21] with precondition: [0>=V_y] 
3.65/3.69	    - Upper bound: 0 
3.65/3.69	    - Complexity: constant 
3.65/3.69	* Chain [20] with precondition: [V_x>=1,V_y>=1] 
3.65/3.69	    - Upper bound: inf 
3.65/3.69	    - Complexity: infinity 
3.65/3.69	* Chain [19]... with precondition: [V_x>=1,V_y>=1] 
3.65/3.69	    - Upper bound: inf 
3.65/3.69	    - Complexity: infinity 
3.65/3.69	
3.65/3.69	### Maximum cost of eval_foo_start(V_x,V_y,V_z,B): inf 
3.65/3.69	Asymptotic class: infinity 
3.65/3.69	* Total analysis performed in 3216 ms.
3.65/3.69	
3.71/3.80	EOF