/export/starexec/sandbox2/solver/bin/starexec_run_C /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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WORST_CASE(?,O(n^4))  

Preprocessing Cost Relations
=====================================

#### Computed strongly connected components 
0. recursive  : [eval_ApplyBndRobin_bb12_in/4,eval_ApplyBndRobin_bb13_in/4]
1. recursive  : [eval_ApplyBndRobin_10/7,eval_ApplyBndRobin_7/6,eval_ApplyBndRobin_8/7,eval_ApplyBndRobin_9/6,eval_ApplyBndRobin_bb10_in/6,eval_ApplyBndRobin_bb11_in/9,eval_ApplyBndRobin_bb12_in_loop_cont/11,eval_ApplyBndRobin_bb14_in/10,eval_ApplyBndRobin_bb7_in/6,eval_ApplyBndRobin_bb8_in/6,eval_ApplyBndRobin_bb9_in/6]
2. recursive  : [eval_ApplyBndRobin_2/6,eval_ApplyBndRobin_3/7,eval_ApplyBndRobin_4/6,eval_ApplyBndRobin_5/7,eval_ApplyBndRobin_bb15_in/10,eval_ApplyBndRobin_bb2_in/6,eval_ApplyBndRobin_bb3_in/6,eval_ApplyBndRobin_bb4_in/6,eval_ApplyBndRobin_bb5_in/6,eval_ApplyBndRobin_bb6_in/9,eval_ApplyBndRobin_bb7_in_loop_cont/11]
3. recursive  : [eval_ApplyBndRobin_bb16_in/8,eval_ApplyBndRobin_bb1_in/7,eval_ApplyBndRobin_bb2_in_loop_cont/9]
4. non_recursive  : [eval_ApplyBndRobin_stop/1]
5. non_recursive  : [eval_ApplyBndRobin_bb17_in/1]
6. non_recursive  : [eval_ApplyBndRobin_bb1_in_loop_cont/2]
7. non_recursive  : [eval_ApplyBndRobin_bb0_in/6]
8. non_recursive  : [eval_ApplyBndRobin_start/6]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into eval_ApplyBndRobin_bb12_in/4
1. SCC is partially evaluated into eval_ApplyBndRobin_bb7_in/6
2. SCC is partially evaluated into eval_ApplyBndRobin_bb2_in/6
3. SCC is partially evaluated into eval_ApplyBndRobin_bb1_in/7
4. SCC is completely evaluated into other SCCs
5. SCC is completely evaluated into other SCCs
6. SCC is completely evaluated into other SCCs
7. SCC is partially evaluated into eval_ApplyBndRobin_bb0_in/6
8. SCC is partially evaluated into eval_ApplyBndRobin_start/6

Control-Flow Refinement of Cost Relations
=====================================

### Specialization of cost equations eval_ApplyBndRobin_bb12_in/4 
* CE 21 is refined into CE [22] 
* CE 20 is refined into CE [23] 


### Cost equations --> "Loop" of eval_ApplyBndRobin_bb12_in/4 
* CEs [23] --> Loop 18 
* CEs [22] --> Loop 19 

### Ranking functions of CR eval_ApplyBndRobin_bb12_in(V_GH_cctk_lsh_0,V_i_0,B,C) 
* RF of phase [18]: [V_GH_cctk_lsh_0-V_i_0-1]

#### Partial ranking functions of CR eval_ApplyBndRobin_bb12_in(V_GH_cctk_lsh_0,V_i_0,B,C) 
* Partial RF of phase [18]:
  - RF of loop [18:1]:
    V_GH_cctk_lsh_0-V_i_0-1


### Specialization of cost equations eval_ApplyBndRobin_bb7_in/6 
* CE 19 is refined into CE [24] 
* CE 17 is refined into CE [25,26] 
* CE 18 is discarded (unfeasible) 
* CE 16 is refined into CE [27,28] 
* CE 14 is refined into CE [29] 
* CE 15 is discarded (unfeasible) 
* CE 13 is refined into CE [30] 


### Cost equations --> "Loop" of eval_ApplyBndRobin_bb7_in/6 
* CEs [25] --> Loop 20 
* CEs [26] --> Loop 21 
* CEs [27] --> Loop 22 
* CEs [28] --> Loop 23 
* CEs [29] --> Loop 24 
* CEs [30] --> Loop 25 
* CEs [24] --> Loop 26 

### Ranking functions of CR eval_ApplyBndRobin_bb7_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_dz_1,V_j_0,B,C) 
* RF of phase [20,21,24]: [V_GH_cctk_lsh_1-V_j_0]

#### Partial ranking functions of CR eval_ApplyBndRobin_bb7_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_dz_1,V_j_0,B,C) 
* Partial RF of phase [20,21,24]:
  - RF of loop [20:1,21:1,24:1]:
    V_GH_cctk_lsh_1-V_j_0


### Specialization of cost equations eval_ApplyBndRobin_bb2_in/6 
* CE 12 is refined into CE [31] 
* CE 7 is refined into CE [32,33,34,35,36,37,38] 
* CE 10 is refined into CE [39,40,41,42,43] 
* CE 6 is discarded (unfeasible) 
* CE 9 is discarded (unfeasible) 
* CE 5 is refined into CE [44,45,46,47,48] 
* CE 8 is refined into CE [49,50,51,52,53,54,55] 
* CE 11 is refined into CE [56,57,58,59,60] 


### Cost equations --> "Loop" of eval_ApplyBndRobin_bb2_in/6 
* CEs [35] --> Loop 27 
* CEs [37,42] --> Loop 28 
* CEs [38,43] --> Loop 29 
* CEs [36,41] --> Loop 30 
* CEs [52] --> Loop 31 
* CEs [47,54,59] --> Loop 32 
* CEs [48,55,60] --> Loop 33 
* CEs [46,53,58] --> Loop 34 
* CEs [32] --> Loop 35 
* CEs [34,40] --> Loop 36 
* CEs [33,39] --> Loop 37 
* CEs [49] --> Loop 38 
* CEs [45,51,57] --> Loop 39 
* CEs [44,50,56] --> Loop 40 
* CEs [31] --> Loop 41 

### Ranking functions of CR eval_ApplyBndRobin_bb2_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_k_0,B,C) 
* RF of phase [27,28,30]: [V_GH_cctk_lsh_2-V_k_0]
* RF of phase [29]: [V_GH_cctk_lsh_2-V_k_0]
* RF of phase [35,36,37]: [V_GH_cctk_lsh_2-V_k_0]

#### Partial ranking functions of CR eval_ApplyBndRobin_bb2_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_k_0,B,C) 
* Partial RF of phase [27,28,30]:
  - RF of loop [27:1,28:1,30:1]:
    V_GH_cctk_lsh_2-V_k_0
* Partial RF of phase [29]:
  - RF of loop [29:1]:
    V_GH_cctk_lsh_2-V_k_0
* Partial RF of phase [35,36,37]:
  - RF of loop [35:1,36:1,37:1]:
    V_GH_cctk_lsh_2-V_k_0


### Specialization of cost equations eval_ApplyBndRobin_bb1_in/7 
* CE 4 is refined into CE [61] 
* CE 3 is refined into CE [62,63,64,65,66,67,68,69,70,71,72,73,74,75,76] 


### Cost equations --> "Loop" of eval_ApplyBndRobin_bb1_in/7 
* CEs [75] --> Loop 42 
* CEs [74] --> Loop 43 
* CEs [76] --> Loop 44 
* CEs [73] --> Loop 45 
* CEs [72] --> Loop 46 
* CEs [71] --> Loop 47 
* CEs [70] --> Loop 48 
* CEs [69] --> Loop 49 
* CEs [68] --> Loop 50 
* CEs [67] --> Loop 51 
* CEs [66] --> Loop 52 
* CEs [65] --> Loop 53 
* CEs [62] --> Loop 54 
* CEs [64] --> Loop 55 
* CEs [63] --> Loop 56 
* CEs [61] --> Loop 57 

### Ranking functions of CR eval_ApplyBndRobin_bb1_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,V_var_0,B) 
* RF of phase [42,43,46]: [V_first_var+V_num_vars-V_var_0]
* RF of phase [44]: [V_first_var+V_num_vars-V_var_0]
* RF of phase [45]: [V_first_var+V_num_vars-V_var_0]
* RF of phase [47,48,50]: [V_first_var+V_num_vars-V_var_0]
* RF of phase [49]: [V_first_var+V_num_vars-V_var_0]
* RF of phase [51,52,53]: [V_first_var+V_num_vars-V_var_0]
* RF of phase [54,55,56]: [V_first_var+V_num_vars-V_var_0]

#### Partial ranking functions of CR eval_ApplyBndRobin_bb1_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,V_var_0,B) 
* Partial RF of phase [42,43,46]:
  - RF of loop [42:1,43:1,46:1]:
    V_first_var+V_num_vars-V_var_0
* Partial RF of phase [44]:
  - RF of loop [44:1]:
    V_first_var+V_num_vars-V_var_0
* Partial RF of phase [45]:
  - RF of loop [45:1]:
    V_first_var+V_num_vars-V_var_0
* Partial RF of phase [47,48,50]:
  - RF of loop [47:1,48:1,50:1]:
    V_first_var+V_num_vars-V_var_0
* Partial RF of phase [49]:
  - RF of loop [49:1]:
    V_first_var+V_num_vars-V_var_0
* Partial RF of phase [51,52,53]:
  - RF of loop [51:1,52:1,53:1]:
    V_first_var+V_num_vars-V_var_0
* Partial RF of phase [54,55,56]:
  - RF of loop [54:1,55:1,56:1]:
    V_first_var+V_num_vars-V_var_0


### Specialization of cost equations eval_ApplyBndRobin_bb0_in/6 
* CE 2 is refined into CE [77,78,79,80,81,82,83,84] 


### Cost equations --> "Loop" of eval_ApplyBndRobin_bb0_in/6 
* CEs [83] --> Loop 58 
* CEs [84] --> Loop 59 
* CEs [82] --> Loop 60 
* CEs [81] --> Loop 61 
* CEs [80] --> Loop 62 
* CEs [79] --> Loop 63 
* CEs [78] --> Loop 64 
* CEs [77] --> Loop 65 

### Ranking functions of CR eval_ApplyBndRobin_bb0_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B) 

#### Partial ranking functions of CR eval_ApplyBndRobin_bb0_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B) 


### Specialization of cost equations eval_ApplyBndRobin_start/6 
* CE 1 is refined into CE [85,86,87,88,89,90,91,92] 


### Cost equations --> "Loop" of eval_ApplyBndRobin_start/6 
* CEs [92] --> Loop 66 
* CEs [91] --> Loop 67 
* CEs [90] --> Loop 68 
* CEs [89] --> Loop 69 
* CEs [88] --> Loop 70 
* CEs [87] --> Loop 71 
* CEs [86] --> Loop 72 
* CEs [85] --> Loop 73 

### Ranking functions of CR eval_ApplyBndRobin_start(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B) 

#### Partial ranking functions of CR eval_ApplyBndRobin_start(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B) 


Computing Bounds
=====================================

#### Cost of chains of eval_ApplyBndRobin_bb12_in(V_GH_cctk_lsh_0,V_i_0,B,C):
* Chain [[18],19]: 1*it(18)+0
  Such that:it(18) =< -V_i_0+C

  with precondition: [B=2,V_GH_cctk_lsh_0=C+1,V_i_0>=1,V_GH_cctk_lsh_0>=V_i_0+2] 

* Chain [19]: 0
  with precondition: [B=2,V_i_0=C,V_i_0>=1,V_i_0+1>=V_GH_cctk_lsh_0] 


#### Cost of chains of eval_ApplyBndRobin_bb7_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_dz_1,V_j_0,B,C):
* Chain [26]: 0
  with precondition: [B=3,V_j_0=C,1>=V_dz_1,V_dz_1+1>=0,V_j_0>=0,V_j_0>=V_GH_cctk_lsh_1] 

* Chain [25,[20,21,24],26]: 3*it(20)+1*s(3)+1
  Such that:aux(1) =< V_GH_cctk_lsh_0
aux(4) =< C
it(20) =< aux(4)
s(3) =< it(20)*aux(1)

  with precondition: [V_dz_1=0,V_j_0=0,B=3,V_GH_cctk_lsh_1=C,V_GH_cctk_lsh_1>=2] 

* Chain [25,26]: 1
  with precondition: [V_GH_cctk_lsh_1=1,V_dz_1=0,V_j_0=0,B=3,C=1] 

* Chain [23,[20,21,24],26]: 3*it(20)+1*s(3)+1
  Such that:aux(1) =< 2
aux(1) =< V_GH_cctk_lsh_0
aux(4) =< C
it(20) =< aux(4)
s(3) =< it(20)*aux(1)

  with precondition: [V_j_0=0,B=3,V_GH_cctk_lsh_1=C,2>=V_GH_cctk_lsh_0,1>=V_dz_1,V_GH_cctk_lsh_1>=2,V_dz_1+1>=0] 

* Chain [23,26]: 1
  with precondition: [V_GH_cctk_lsh_1=1,V_j_0=0,B=3,C=1,2>=V_GH_cctk_lsh_0,1>=V_dz_1,V_dz_1+1>=0] 

* Chain [22,[20,21,24],26]: 3*it(20)+1*s(3)+1*s(4)+1
  Such that:aux(4) =< C
aux(5) =< V_GH_cctk_lsh_0
s(4) =< aux(5)
it(20) =< aux(4)
s(3) =< it(20)*aux(5)

  with precondition: [V_j_0=0,B=3,V_GH_cctk_lsh_1=C,1>=V_dz_1,V_GH_cctk_lsh_0>=3,V_GH_cctk_lsh_1>=2,V_dz_1+1>=0] 

* Chain [22,26]: 1*s(4)+1
  Such that:s(4) =< V_GH_cctk_lsh_0

  with precondition: [V_GH_cctk_lsh_1=1,V_j_0=0,B=3,C=1,1>=V_dz_1,V_GH_cctk_lsh_0>=3,V_dz_1+1>=0] 


#### Cost of chains of eval_ApplyBndRobin_bb2_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_k_0,B,C):
* Chain [41]: 0
  with precondition: [B=4,V_k_0=C,V_k_0>=0,V_k_0>=V_GH_cctk_lsh_2] 

* Chain [40,[35,36,37],41]: 6*it(35)+2*s(9)+2
  Such that:aux(7) =< 2
aux(7) =< V_GH_cctk_lsh_0
aux(10) =< C
it(35) =< aux(10)
s(10) =< it(35)*aux(7)
s(9) =< s(10)

  with precondition: [V_GH_cctk_lsh_1=1,V_k_0=0,B=4,V_GH_cctk_lsh_2=C,2>=V_GH_cctk_lsh_0,V_GH_cctk_lsh_2>=2] 

* Chain [40,41]: 2
  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1,2>=V_GH_cctk_lsh_0] 

* Chain [39,[35,36,37],41]: 6*it(35)+2*s(9)+3*s(11)+2
  Such that:aux(10) =< C
aux(12) =< V_GH_cctk_lsh_0
it(35) =< aux(10)
s(10) =< it(35)*aux(12)
s(9) =< s(10)
s(11) =< aux(12)

  with precondition: [V_GH_cctk_lsh_1=1,V_k_0=0,B=4,V_GH_cctk_lsh_2=C,V_GH_cctk_lsh_0>=3,V_GH_cctk_lsh_2>=2] 

* Chain [39,41]: 3*s(11)+2
  Such that:aux(11) =< V_GH_cctk_lsh_0
s(11) =< aux(11)

  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1,V_GH_cctk_lsh_0>=3] 

* Chain [38,[35,36,37],41]: 6*it(35)+2*s(9)+2
  Such that:aux(7) =< V_GH_cctk_lsh_0
aux(10) =< C
it(35) =< aux(10)
s(10) =< it(35)*aux(7)
s(9) =< s(10)

  with precondition: [V_GH_cctk_lsh_1=1,V_k_0=0,B=4,V_GH_cctk_lsh_2=C,V_GH_cctk_lsh_2>=2] 

* Chain [38,41]: 2
  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1] 

* Chain [34,[27,28,30],41]: 6*it(27)+3*s(52)+1*s(53)+2*s(55)+12*s(56)+2*s(57)+2*s(61)+9*s(65)+3*s(66)+2
  Such that:aux(26) =< C
aux(31) =< 2
aux(32) =< V_GH_cctk_lsh_0
aux(33) =< V_GH_cctk_lsh_1
aux(29) =< aux(31)
aux(29) =< aux(32)
it(27) =< aux(26)
aux(21) =< aux(33)
aux(20) =< aux(29)
s(54) =< it(27)*aux(33)
s(58) =< it(27)*aux(21)
s(59) =< it(27)*aux(20)
s(49) =< aux(31)
s(49) =< aux(20)
s(56) =< s(58)
s(61) =< s(56)*s(49)
s(55) =< s(59)
s(57) =< s(56)*aux(20)
s(52) =< s(54)
s(53) =< s(52)*aux(29)
s(63) =< aux(31)
s(63) =< aux(32)
s(63) =< aux(29)
s(65) =< aux(33)
s(66) =< s(65)*s(63)

  with precondition: [V_k_0=0,B=4,V_GH_cctk_lsh_2=C,2>=V_GH_cctk_lsh_0,V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2] 

* Chain [34,41]: 9*s(65)+3*s(66)+2
  Such that:aux(30) =< V_GH_cctk_lsh_1
aux(34) =< 2
aux(35) =< V_GH_cctk_lsh_0
aux(29) =< aux(34)
aux(29) =< aux(35)
s(63) =< aux(34)
s(63) =< aux(35)
s(63) =< aux(29)
s(65) =< aux(30)
s(66) =< s(65)*s(63)

  with precondition: [V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1,2>=V_GH_cctk_lsh_0,V_GH_cctk_lsh_1>=2] 

* Chain [33,[29],41]: 1*it(29)+1
  Such that:it(29) =< C

  with precondition: [V_k_0=0,B=4,V_GH_cctk_lsh_2=C,0>=V_GH_cctk_lsh_1,V_GH_cctk_lsh_2>=2] 

* Chain [33,41]: 1
  with precondition: [V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1,0>=V_GH_cctk_lsh_1] 

* Chain [32,[27,28,30],41]: 6*it(27)+3*s(52)+1*s(53)+2*s(55)+12*s(56)+2*s(57)+2*s(61)+3*s(77)+9*s(78)+3*s(79)+2
  Such that:aux(23) =< 2
aux(26) =< C
aux(38) =< V_GH_cctk_lsh_0
aux(39) =< V_GH_cctk_lsh_1
it(27) =< aux(26)
aux(21) =< aux(39)
aux(20) =< aux(38)
s(54) =< it(27)*aux(39)
s(58) =< it(27)*aux(21)
s(59) =< it(27)*aux(20)
s(49) =< aux(23)
s(49) =< aux(20)
s(56) =< s(58)
s(61) =< s(56)*s(49)
s(55) =< s(59)
s(57) =< s(56)*aux(20)
s(52) =< s(54)
s(53) =< s(52)*aux(38)
s(77) =< aux(38)
s(78) =< aux(39)
s(79) =< s(78)*aux(38)

  with precondition: [V_k_0=0,B=4,V_GH_cctk_lsh_2=C,V_GH_cctk_lsh_0>=3,V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2] 

* Chain [32,41]: 3*s(77)+9*s(78)+3*s(79)+2
  Such that:aux(36) =< V_GH_cctk_lsh_0
aux(37) =< V_GH_cctk_lsh_1
s(77) =< aux(36)
s(78) =< aux(37)
s(79) =< s(78)*aux(36)

  with precondition: [V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1,V_GH_cctk_lsh_0>=3,V_GH_cctk_lsh_1>=2] 

* Chain [31,[27,28,30],41]: 6*it(27)+3*s(52)+1*s(53)+2*s(55)+12*s(56)+2*s(57)+2*s(61)+3*s(92)+1*s(93)+2
  Such that:aux(23) =< 2
aux(26) =< V_GH_cctk_lsh_2
aux(40) =< V_GH_cctk_lsh_0
aux(41) =< V_GH_cctk_lsh_1
it(27) =< aux(26)
aux(21) =< aux(41)
aux(20) =< aux(40)
s(54) =< it(27)*aux(41)
s(58) =< it(27)*aux(21)
s(59) =< it(27)*aux(20)
s(49) =< aux(23)
s(49) =< aux(20)
s(56) =< s(58)
s(61) =< s(56)*s(49)
s(55) =< s(59)
s(57) =< s(56)*aux(20)
s(52) =< s(54)
s(53) =< s(52)*aux(40)
s(92) =< aux(41)
s(93) =< s(92)*aux(40)

  with precondition: [V_k_0=0,B=4,V_GH_cctk_lsh_2=C,V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2] 

* Chain [31,41]: 3*s(92)+1*s(93)+2
  Such that:s(90) =< V_GH_cctk_lsh_0
s(91) =< V_GH_cctk_lsh_1
s(92) =< s(91)
s(93) =< s(92)*s(90)

  with precondition: [V_GH_cctk_lsh_2=1,V_k_0=0,B=4,C=1,V_GH_cctk_lsh_1>=2] 


#### Cost of chains of eval_ApplyBndRobin_bb1_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,V_var_0,B):
* Chain [[54,55,56],57]: 9*it(54)+3*s(98)+0
  Such that:aux(42) =< V_GH_cctk_lsh_0
aux(45) =< V_first_var+V_num_vars-V_var_0
it(54) =< aux(45)
s(99) =< it(54)*aux(42)
s(98) =< s(99)

  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,B=5,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [[51,52,53],57]: 9*it(51)+6*s(132)+2*s(133)+12*s(136)+2*s(137)+3*s(138)+2*s(143)+0
  Such that:s(127) =< 2
s(105) =< V_GH_cctk_lsh_0
aux(46) =< V_GH_cctk_lsh_2
aux(52) =< V_first_var+V_num_vars-V_var_0
it(51) =< aux(52)
aux(48) =< aux(46)
aux(47) =< s(105)
s(127) =< s(105)
s(135) =< it(51)*aux(46)
s(141) =< it(51)*aux(48)
s(139) =< it(51)*aux(47)
s(136) =< s(141)
s(144) =< s(136)*s(127)
s(143) =< s(144)
s(140) =< s(136)*aux(47)
s(137) =< s(140)
s(138) =< s(139)
s(132) =< s(135)
s(134) =< s(132)*s(105)
s(133) =< s(134)

  with precondition: [V_GH_cctk_lsh_1=1,B=5,V_GH_cctk_lsh_2>=2,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [[49],57]: 2*it(49)+0
  Such that:it(49) =< V_first_var+V_num_vars-V_var_0

  with precondition: [V_GH_cctk_lsh_2=1,B=5,0>=V_GH_cctk_lsh_1,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [[47,48,50],57]: 9*it(47)+3*s(178)+1*s(179)+3*s(181)+18*s(182)+3*s(183)+3*s(187)+0
  Such that:aux(57) =< 2
s(150) =< V_GH_cctk_lsh_0
aux(53) =< V_GH_cctk_lsh_1
aux(60) =< V_first_var+V_num_vars-V_var_0
s(172) =< aux(57)
it(47) =< aux(60)
aux(55) =< aux(53)
aux(54) =< s(150)
s(172) =< s(150)
s(180) =< it(47)*aux(53)
s(184) =< it(47)*aux(55)
s(185) =< it(47)*aux(54)
s(174) =< aux(57)
s(174) =< s(172)
s(175) =< aux(57)
s(175) =< s(172)
s(175) =< s(174)
s(182) =< s(184)
s(187) =< s(182)*s(175)
s(181) =< s(185)
s(183) =< s(182)*aux(54)
s(178) =< s(180)
s(179) =< s(178)*s(150)

  with precondition: [V_GH_cctk_lsh_2=1,B=5,V_GH_cctk_lsh_1>=2,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [[45],57]: 2*it(45)+1*s(191)+0
  Such that:aux(61) =< V_GH_cctk_lsh_2
it(45) =< V_first_var+V_num_vars-V_var_0
s(191) =< it(45)*aux(61)

  with precondition: [B=5,0>=V_GH_cctk_lsh_1,V_GH_cctk_lsh_2>=2,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [[44],57]: 1*it(44)+0
  Such that:it(44) =< V_first_var+V_num_vars-V_var_0

  with precondition: [B=5,0>=V_GH_cctk_lsh_2,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [[42,43,46],57]: 9*it(42)+6*s(312)+12*s(313)+2*s(314)+2*s(315)+2*s(316)+3*s(317)+1*s(318)+21*s(319)+1*s(320)+12*s(326)+24*s(327)+2*s(328)+2*s(329)+2*s(330)+6*s(331)+1*s(332)+3*s(333)+3*s(335)+2*s(344)+2*s(345)+2*s(346)+1*s(348)+3*s(350)+0
  Such that:aux(69) =< 2
s(212) =< V_GH_cctk_lsh_0
s(213) =< V_GH_cctk_lsh_1
aux(63) =< V_GH_cctk_lsh_2
aux(72) =< V_first_var+V_num_vars-V_var_0
s(292) =< aux(69)
it(42) =< aux(72)
aux(66) =< aux(63)
aux(62) =< s(213)
aux(64) =< s(212)
s(292) =< s(212)
s(325) =< it(42)*aux(63)
s(341) =< it(42)*aux(66)
s(321) =< it(42)*aux(62)
s(337) =< it(42)*aux(64)
s(295) =< aux(69)
s(295) =< s(292)
s(326) =< s(341)
s(255) =< aux(62)
s(298) =< s(295)
s(338) =< s(326)*aux(62)
s(340) =< s(326)*s(255)
s(353) =< s(326)*s(298)
s(302) =< aux(69)
s(302) =< s(298)
s(327) =< s(340)
s(344) =< s(327)*s(302)
s(345) =< s(353)
s(346) =< s(327)*s(298)
s(331) =< s(338)
s(348) =< s(331)*s(295)
s(309) =< aux(69)
s(309) =< s(292)
s(309) =< s(295)
s(319) =< s(321)
s(350) =< s(319)*s(309)
s(256) =< aux(64)
s(339) =< s(326)*s(256)
s(260) =< aux(69)
s(260) =< s(256)
s(328) =< s(327)*s(260)
s(329) =< s(339)
s(330) =< s(327)*s(256)
s(332) =< s(331)*aux(64)
s(333) =< s(337)
s(335) =< s(319)*aux(64)
s(312) =< s(325)
s(322) =< s(312)*s(213)
s(324) =< s(312)*aux(62)
s(323) =< s(312)*aux(64)
s(221) =< aux(69)
s(221) =< aux(64)
s(313) =< s(324)
s(314) =< s(313)*s(221)
s(315) =< s(323)
s(316) =< s(313)*aux(64)
s(317) =< s(322)
s(318) =< s(317)*s(212)
s(320) =< s(319)*s(212)

  with precondition: [B=5,V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2,V_var_0>=V_first_var,V_first_var+V_num_vars>=V_var_0+1] 

* Chain [57]: 0
  with precondition: [B=5,V_var_0>=V_first_var,V_var_0>=V_first_var+V_num_vars] 


#### Cost of chains of eval_ApplyBndRobin_bb0_in(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B):
* Chain [65]: 9*s(358)+3*s(360)+0
  Such that:s(356) =< V_GH_cctk_lsh_0
s(357) =< V_num_vars
s(358) =< s(357)
s(359) =< s(358)*s(356)
s(360) =< s(359)

  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,V_num_vars>=1] 

* Chain [64]: 9*s(365)+12*s(371)+2*s(373)+2*s(375)+3*s(376)+6*s(377)+2*s(379)+0
  Such that:s(361) =< 2
s(362) =< V_GH_cctk_lsh_0
s(363) =< V_GH_cctk_lsh_2
s(364) =< V_num_vars
s(365) =< s(364)
s(366) =< s(363)
s(367) =< s(362)
s(361) =< s(362)
s(368) =< s(365)*s(363)
s(369) =< s(365)*s(366)
s(370) =< s(365)*s(367)
s(371) =< s(369)
s(372) =< s(371)*s(361)
s(373) =< s(372)
s(374) =< s(371)*s(367)
s(375) =< s(374)
s(376) =< s(370)
s(377) =< s(368)
s(378) =< s(377)*s(362)
s(379) =< s(378)

  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 

* Chain [63]: 2*s(380)+0
  Such that:s(380) =< V_num_vars

  with precondition: [V_GH_cctk_lsh_2=1,0>=V_GH_cctk_lsh_1,V_num_vars>=1] 

* Chain [62]: 9*s(386)+18*s(394)+3*s(395)+3*s(396)+3*s(397)+3*s(398)+1*s(399)+0
  Such that:s(381) =< 2
s(382) =< V_GH_cctk_lsh_0
s(383) =< V_GH_cctk_lsh_1
s(384) =< V_num_vars
s(385) =< s(381)
s(386) =< s(384)
s(387) =< s(383)
s(388) =< s(382)
s(385) =< s(382)
s(389) =< s(386)*s(383)
s(390) =< s(386)*s(387)
s(391) =< s(386)*s(388)
s(392) =< s(381)
s(392) =< s(385)
s(393) =< s(381)
s(393) =< s(385)
s(393) =< s(392)
s(394) =< s(390)
s(395) =< s(394)*s(393)
s(396) =< s(391)
s(397) =< s(394)*s(388)
s(398) =< s(389)
s(399) =< s(398)*s(382)

  with precondition: [V_GH_cctk_lsh_2=1,V_GH_cctk_lsh_1>=2,V_num_vars>=1] 

* Chain [61]: 2*s(401)+1*s(402)+0
  Such that:s(400) =< V_GH_cctk_lsh_2
s(401) =< V_num_vars
s(402) =< s(401)*s(400)

  with precondition: [0>=V_GH_cctk_lsh_1,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 

* Chain [60]: 1*s(403)+0
  Such that:s(403) =< V_num_vars

  with precondition: [0>=V_GH_cctk_lsh_2,V_num_vars>=1] 

* Chain [59]: 0
  with precondition: [0>=V_num_vars] 

* Chain [58]: 9*s(410)+12*s(419)+24*s(426)+2*s(427)+2*s(428)+2*s(429)+6*s(430)+1*s(431)+21*s(433)+3*s(434)+2*s(438)+2*s(439)+2*s(440)+1*s(441)+3*s(442)+3*s(443)+6*s(444)+12*s(449)+2*s(450)+2*s(451)+2*s(452)+3*s(453)+1*s(454)+1*s(455)+0
  Such that:s(404) =< 2
s(405) =< V_GH_cctk_lsh_0
s(406) =< V_GH_cctk_lsh_1
s(407) =< V_GH_cctk_lsh_2
s(408) =< V_num_vars
s(409) =< s(404)
s(410) =< s(408)
s(411) =< s(407)
s(412) =< s(406)
s(413) =< s(405)
s(409) =< s(405)
s(414) =< s(410)*s(407)
s(415) =< s(410)*s(411)
s(416) =< s(410)*s(412)
s(417) =< s(410)*s(413)
s(418) =< s(404)
s(418) =< s(409)
s(419) =< s(415)
s(420) =< s(412)
s(421) =< s(418)
s(422) =< s(419)*s(412)
s(423) =< s(419)*s(420)
s(424) =< s(419)*s(421)
s(425) =< s(404)
s(425) =< s(421)
s(426) =< s(423)
s(427) =< s(426)*s(425)
s(428) =< s(424)
s(429) =< s(426)*s(421)
s(430) =< s(422)
s(431) =< s(430)*s(418)
s(432) =< s(404)
s(432) =< s(409)
s(432) =< s(418)
s(433) =< s(416)
s(434) =< s(433)*s(432)
s(435) =< s(413)
s(436) =< s(419)*s(435)
s(437) =< s(404)
s(437) =< s(435)
s(438) =< s(426)*s(437)
s(439) =< s(436)
s(440) =< s(426)*s(435)
s(441) =< s(430)*s(413)
s(442) =< s(417)
s(443) =< s(433)*s(413)
s(444) =< s(414)
s(445) =< s(444)*s(406)
s(446) =< s(444)*s(412)
s(447) =< s(444)*s(413)
s(448) =< s(404)
s(448) =< s(413)
s(449) =< s(446)
s(450) =< s(449)*s(448)
s(451) =< s(447)
s(452) =< s(449)*s(413)
s(453) =< s(445)
s(454) =< s(453)*s(405)
s(455) =< s(433)*s(405)

  with precondition: [V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 


#### Cost of chains of eval_ApplyBndRobin_start(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B):
* Chain [73]: 9*s(458)+3*s(460)+0
  Such that:s(456) =< V_GH_cctk_lsh_0
s(457) =< V_num_vars
s(458) =< s(457)
s(459) =< s(458)*s(456)
s(460) =< s(459)

  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,V_num_vars>=1] 

* Chain [72]: 9*s(465)+12*s(471)+2*s(473)+2*s(475)+3*s(476)+6*s(477)+2*s(479)+0
  Such that:s(461) =< 2
s(462) =< V_GH_cctk_lsh_0
s(463) =< V_GH_cctk_lsh_2
s(464) =< V_num_vars
s(465) =< s(464)
s(466) =< s(463)
s(467) =< s(462)
s(461) =< s(462)
s(468) =< s(465)*s(463)
s(469) =< s(465)*s(466)
s(470) =< s(465)*s(467)
s(471) =< s(469)
s(472) =< s(471)*s(461)
s(473) =< s(472)
s(474) =< s(471)*s(467)
s(475) =< s(474)
s(476) =< s(470)
s(477) =< s(468)
s(478) =< s(477)*s(462)
s(479) =< s(478)

  with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 

* Chain [71]: 2*s(480)+0
  Such that:s(480) =< V_num_vars

  with precondition: [V_GH_cctk_lsh_2=1,0>=V_GH_cctk_lsh_1,V_num_vars>=1] 

* Chain [70]: 9*s(486)+18*s(494)+3*s(495)+3*s(496)+3*s(497)+3*s(498)+1*s(499)+0
  Such that:s(481) =< 2
s(482) =< V_GH_cctk_lsh_0
s(483) =< V_GH_cctk_lsh_1
s(484) =< V_num_vars
s(485) =< s(481)
s(486) =< s(484)
s(487) =< s(483)
s(488) =< s(482)
s(485) =< s(482)
s(489) =< s(486)*s(483)
s(490) =< s(486)*s(487)
s(491) =< s(486)*s(488)
s(492) =< s(481)
s(492) =< s(485)
s(493) =< s(481)
s(493) =< s(485)
s(493) =< s(492)
s(494) =< s(490)
s(495) =< s(494)*s(493)
s(496) =< s(491)
s(497) =< s(494)*s(488)
s(498) =< s(489)
s(499) =< s(498)*s(482)

  with precondition: [V_GH_cctk_lsh_2=1,V_GH_cctk_lsh_1>=2,V_num_vars>=1] 

* Chain [69]: 2*s(501)+1*s(502)+0
  Such that:s(500) =< V_GH_cctk_lsh_2
s(501) =< V_num_vars
s(502) =< s(501)*s(500)

  with precondition: [0>=V_GH_cctk_lsh_1,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 

* Chain [68]: 1*s(503)+0
  Such that:s(503) =< V_num_vars

  with precondition: [0>=V_GH_cctk_lsh_2,V_num_vars>=1] 

* Chain [67]: 0
  with precondition: [0>=V_num_vars] 

* Chain [66]: 9*s(510)+12*s(519)+24*s(526)+2*s(527)+2*s(528)+2*s(529)+6*s(530)+1*s(531)+21*s(533)+3*s(534)+2*s(538)+2*s(539)+2*s(540)+1*s(541)+3*s(542)+3*s(543)+6*s(544)+12*s(549)+2*s(550)+2*s(551)+2*s(552)+3*s(553)+1*s(554)+1*s(555)+0
  Such that:s(504) =< 2
s(505) =< V_GH_cctk_lsh_0
s(506) =< V_GH_cctk_lsh_1
s(507) =< V_GH_cctk_lsh_2
s(508) =< V_num_vars
s(509) =< s(504)
s(510) =< s(508)
s(511) =< s(507)
s(512) =< s(506)
s(513) =< s(505)
s(509) =< s(505)
s(514) =< s(510)*s(507)
s(515) =< s(510)*s(511)
s(516) =< s(510)*s(512)
s(517) =< s(510)*s(513)
s(518) =< s(504)
s(518) =< s(509)
s(519) =< s(515)
s(520) =< s(512)
s(521) =< s(518)
s(522) =< s(519)*s(512)
s(523) =< s(519)*s(520)
s(524) =< s(519)*s(521)
s(525) =< s(504)
s(525) =< s(521)
s(526) =< s(523)
s(527) =< s(526)*s(525)
s(528) =< s(524)
s(529) =< s(526)*s(521)
s(530) =< s(522)
s(531) =< s(530)*s(518)
s(532) =< s(504)
s(532) =< s(509)
s(532) =< s(518)
s(533) =< s(516)
s(534) =< s(533)*s(532)
s(535) =< s(513)
s(536) =< s(519)*s(535)
s(537) =< s(504)
s(537) =< s(535)
s(538) =< s(526)*s(537)
s(539) =< s(536)
s(540) =< s(526)*s(535)
s(541) =< s(530)*s(513)
s(542) =< s(517)
s(543) =< s(533)*s(513)
s(544) =< s(514)
s(545) =< s(544)*s(506)
s(546) =< s(544)*s(512)
s(547) =< s(544)*s(513)
s(548) =< s(504)
s(548) =< s(513)
s(549) =< s(546)
s(550) =< s(549)*s(548)
s(551) =< s(547)
s(552) =< s(549)*s(513)
s(553) =< s(545)
s(554) =< s(553)*s(505)
s(555) =< s(533)*s(505)

  with precondition: [V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 


Closed-form bounds of eval_ApplyBndRobin_start(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B): 
-------------------------------------
* Chain [73] with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2=1,V_num_vars>=1] 
    - Upper bound: nat(V_GH_cctk_lsh_0)*3*V_num_vars+9*V_num_vars 
    - Complexity: n^2 
* Chain [72] with precondition: [V_GH_cctk_lsh_1=1,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 
    - Upper bound: nat(V_GH_cctk_lsh_0)*4*V_GH_cctk_lsh_2*V_num_vars+nat(V_GH_cctk_lsh_0)*3*V_num_vars+22*V_GH_cctk_lsh_2*V_num_vars+9*V_num_vars 
    - Complexity: n^3 
* Chain [71] with precondition: [V_GH_cctk_lsh_2=1,0>=V_GH_cctk_lsh_1,V_num_vars>=1] 
    - Upper bound: 2*V_num_vars 
    - Complexity: n 
* Chain [70] with precondition: [V_GH_cctk_lsh_2=1,V_GH_cctk_lsh_1>=2,V_num_vars>=1] 
    - Upper bound: nat(V_GH_cctk_lsh_0)*4*V_GH_cctk_lsh_1*V_num_vars+nat(V_GH_cctk_lsh_0)*3*V_num_vars+27*V_GH_cctk_lsh_1*V_num_vars+9*V_num_vars 
    - Complexity: n^3 
* Chain [69] with precondition: [0>=V_GH_cctk_lsh_1,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 
    - Upper bound: 2*V_num_vars+V_num_vars*V_GH_cctk_lsh_2 
    - Complexity: n^2 
* Chain [68] with precondition: [0>=V_GH_cctk_lsh_2,V_num_vars>=1] 
    - Upper bound: V_num_vars 
    - Complexity: n 
* Chain [67] with precondition: [0>=V_num_vars] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [66] with precondition: [V_GH_cctk_lsh_1>=2,V_GH_cctk_lsh_2>=2,V_num_vars>=1] 
    - Upper bound: nat(V_GH_cctk_lsh_0)*6*V_GH_cctk_lsh_1*V_GH_cctk_lsh_2*V_num_vars+nat(V_GH_cctk_lsh_0)*4*V_GH_cctk_lsh_1*V_num_vars+nat(V_GH_cctk_lsh_0)*4*V_GH_cctk_lsh_2*V_num_vars+nat(V_GH_cctk_lsh_0)*3*V_num_vars+63*V_GH_cctk_lsh_1*V_GH_cctk_lsh_2*V_num_vars+27*V_GH_cctk_lsh_1*V_num_vars+22*V_GH_cctk_lsh_2*V_num_vars+9*V_num_vars 
    - Complexity: n^4 

### Maximum cost of eval_ApplyBndRobin_start(V_GH_cctk_lsh_0,V_GH_cctk_lsh_1,V_GH_cctk_lsh_2,V_first_var,V_num_vars,B): nat(V_num_vars)+max([nat(V_num_vars)*nat(V_GH_cctk_lsh_2),nat(V_GH_cctk_lsh_0)*3*nat(V_num_vars)+nat(V_num_vars)*7+max([nat(V_GH_cctk_lsh_0)*4*nat(V_GH_cctk_lsh_2)*nat(V_num_vars)+nat(V_GH_cctk_lsh_2)*22*nat(V_num_vars),nat(V_GH_cctk_lsh_0)*6*nat(V_GH_cctk_lsh_1)*nat(V_GH_cctk_lsh_2)*nat(V_num_vars)+nat(V_GH_cctk_lsh_0)*4*nat(V_GH_cctk_lsh_2)*nat(V_num_vars)+nat(V_GH_cctk_lsh_1)*63*nat(V_GH_cctk_lsh_2)*nat(V_num_vars)+nat(V_GH_cctk_lsh_2)*22*nat(V_num_vars)+(nat(V_GH_cctk_lsh_0)*4*nat(V_GH_cctk_lsh_1)*nat(V_num_vars)+nat(V_GH_cctk_lsh_1)*27*nat(V_num_vars))])])+nat(V_num_vars) 
Asymptotic class: n^4 
* Total analysis performed in 2240 ms.