WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f162_0_power_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && 0==arg2 && 0==arg1P_1 && 0==arg2P_1 ], cost: 1 1: f1_0_main_Load -> f97_0_random_GT : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>0 && 0==arg2P_2 ], cost: 1 2: f1_0_main_Load -> f97_0_random_GT : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg2P_3>-1 && arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1 7: f162_0_power_GT -> f162_0_power_GT\' : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1<2 && arg2>1 && arg1==arg1P_8 && arg2==arg2P_8 ], cost: 1 9: f162_0_power_GT -> f162_0_power_GT\' : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1>2 && arg2>1 && arg1==arg1P_10 && arg2==arg2P_10 ], cost: 1 3: f97_0_random_GT -> f162_0_power_GT : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1>0 && arg2==arg1P_4 && 0==arg2P_4 ], cost: 1 4: f97_0_random_GT -> f155_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && x10_1>1 && arg1>0 && arg1P_5>0 && arg2==arg2P_5 && 0==arg3P_5 ], cost: 1 5: f97_0_random_GT -> f155_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ x14_1>1 && arg3P_6>-1 && arg1P_6<=arg1 && arg1>0 && arg1P_6>0 && arg2==arg2P_6 ], cost: 1 6: f155_0_main_InvokeMethod -> f162_0_power_GT : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1>0 && x19_1>1 && arg2==arg1P_7 && arg3==arg2P_7 ], cost: 1 8: f162_0_power_GT\' -> f213_0_power_NE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2>1 && arg1<2 && arg2-2*x37_1<2 && arg2-2*x37_1>=0 && arg1==arg1P_9 && arg2==arg2P_9 && arg2-2*x37_1==arg3P_9 ], cost: 1 10: f162_0_power_GT\' -> f213_0_power_NE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>1 && arg1>2 && arg2-2*x41_1<2 && arg2-2*x41_1>=0 && arg1==arg1P_11 && arg2==arg2P_11 && arg2-2*x41_1==arg3P_11 ], cost: 1 11: f213_0_power_NE -> f213_0_power_NE\' : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg2>1 && x47_1>0 && arg2>x47_1 && 0==arg3 && arg1==arg1P_12 && arg2==arg2P_12 && 0==arg3P_12 && arg4==arg4P_12 ], cost: 1 13: f213_0_power_NE -> f162_0_power_GT : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2>1 && -1+arg2 f162_0_power_GT : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2>1 && arg2>arg2P_13 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 && 0==arg3 && arg1==arg1P_13 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && 0==arg2 ], cost: 1 1: f1_0_main_Load -> f97_0_random_GT : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>0 ], cost: 1 2: f1_0_main_Load -> f97_0_random_GT : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg2P_3>-1 && arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1 7: f162_0_power_GT -> f162_0_power_GT\' : arg3'=arg3P_8, arg4'=arg4P_8, [ arg1<2 && arg2>1 ], cost: 1 9: f162_0_power_GT -> f162_0_power_GT\' : arg3'=arg3P_10, arg4'=arg4P_10, [ arg1>2 && arg2>1 ], cost: 1 3: f97_0_random_GT -> f162_0_power_GT : arg1'=arg2, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1>0 ], cost: 1 4: f97_0_random_GT -> f155_0_main_InvokeMethod : arg1'=arg1P_5, arg3'=0, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 5: f97_0_random_GT -> f155_0_main_InvokeMethod : arg1'=arg1P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg3P_6>-1 && arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 6: f155_0_main_InvokeMethod -> f162_0_power_GT : arg1'=arg2, arg2'=arg3, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1>0 ], cost: 1 8: f162_0_power_GT\' -> f213_0_power_NE : arg3'=arg2-2*x37_1, arg4'=arg4P_9, [ arg2>1 && arg1<2 && arg2-2*x37_1<2 && arg2-2*x37_1>=0 ], cost: 1 10: f162_0_power_GT\' -> f213_0_power_NE : arg3'=arg2-2*x41_1, arg4'=arg4P_11, [ arg2>1 && arg1>2 && arg2-2*x41_1<2 && arg2-2*x41_1>=0 ], cost: 1 11: f213_0_power_NE -> f213_0_power_NE\' : arg3'=0, [ 0==arg3 && 1<=-1+arg2 ], cost: 1 13: f213_0_power_NE -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2>1 && 1==arg3 ], cost: 1 12: f213_0_power_NE\' -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 && 0==arg3 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on linear paths): Start location: __init 0: f1_0_main_Load -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && 0==arg2 ], cost: 1 1: f1_0_main_Load -> f97_0_random_GT : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>0 ], cost: 1 2: f1_0_main_Load -> f97_0_random_GT : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg2P_3>-1 && arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1 7: f162_0_power_GT -> f162_0_power_GT\' : arg3'=arg3P_8, arg4'=arg4P_8, [ arg1<2 && arg2>1 ], cost: 1 9: f162_0_power_GT -> f162_0_power_GT\' : arg3'=arg3P_10, arg4'=arg4P_10, [ arg1>2 && arg2>1 ], cost: 1 3: f97_0_random_GT -> f162_0_power_GT : arg1'=arg2, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1>0 ], cost: 1 4: f97_0_random_GT -> f155_0_main_InvokeMethod : arg1'=arg1P_5, arg3'=0, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 5: f97_0_random_GT -> f155_0_main_InvokeMethod : arg1'=arg1P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg3P_6>-1 && arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 1 6: f155_0_main_InvokeMethod -> f162_0_power_GT : arg1'=arg2, arg2'=arg3, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1>0 ], cost: 1 8: f162_0_power_GT\' -> f213_0_power_NE : arg3'=arg2-2*x37_1, arg4'=arg4P_9, [ arg2>1 && arg1<2 && arg2-2*x37_1<2 && arg2-2*x37_1>=0 ], cost: 1 10: f162_0_power_GT\' -> f213_0_power_NE : arg3'=arg2-2*x41_1, arg4'=arg4P_11, [ arg2>1 && arg1>2 && arg2-2*x41_1<2 && arg2-2*x41_1>=0 ], cost: 1 13: f213_0_power_NE -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2>1 && 1==arg3 ], cost: 1 15: f213_0_power_NE -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ 0==arg3 && 1<=-1+arg2 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 2 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 19: f162_0_power_GT -> f213_0_power_NE : arg3'=arg2-2*x37_1, arg4'=arg4P_9, [ arg1<2 && arg2>1 && arg2-2*x37_1<2 && arg2-2*x37_1>=0 ], cost: 2 20: f162_0_power_GT -> f213_0_power_NE : arg3'=arg2-2*x41_1, arg4'=arg4P_11, [ arg1>2 && arg2>1 && arg2-2*x41_1<2 && arg2-2*x41_1>=0 ], cost: 2 3: f97_0_random_GT -> f162_0_power_GT : arg1'=arg2, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1>0 ], cost: 1 21: f97_0_random_GT -> f162_0_power_GT : arg1'=arg2, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 2 22: f97_0_random_GT -> f162_0_power_GT : arg1'=arg2, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg3P_6>-1 && arg1P_6<=arg1 && arg1>0 && arg1P_6>0 ], cost: 2 13: f213_0_power_NE -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2>1 && 1==arg3 ], cost: 1 15: f213_0_power_NE -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ 0==arg3 && 1<=-1+arg2 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 2 16: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_15>0 && 0==arg2P_15 ], cost: 2 17: __init -> f97_0_random_GT : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 ], cost: 2 18: __init -> f97_0_random_GT : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 29: f162_0_power_GT -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1<2 && arg2>1 && 1==arg2-2*x37_1 ], cost: 3 30: f162_0_power_GT -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1<2 && arg2>1 && 0==arg2-2*x37_1 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 4 31: f162_0_power_GT -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1>2 && arg2>1 && 1==arg2-2*x41_1 ], cost: 3 32: f162_0_power_GT -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>1 && 0==arg2-2*x41_1 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 4 16: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_15>0 && 0==arg2P_15 ], cost: 2 23: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 ], cost: 3 24: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 && arg1P_5<=arg1P_2 && arg1P_5>0 ], cost: 4 25: __init -> f162_0_power_GT : arg1'=0, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 && arg3P_6>-1 && arg1P_6<=arg1P_2 && arg1P_6>0 ], cost: 4 26: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 ], cost: 3 27: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg1P_5<=arg1P_3 && arg1P_5>0 ], cost: 4 28: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg3P_6>-1 && arg1P_6<=arg1P_3 && arg1P_6>0 ], cost: 4 Accelerating simple loops of location 1. Accelerating the following rules: 29: f162_0_power_GT -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1<2 && arg2>1 && 1==arg2-2*x37_1 ], cost: 3 30: f162_0_power_GT -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1<2 && arg2>1 && 0==arg2-2*x37_1 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 4 31: f162_0_power_GT -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1>2 && arg2>1 && 1==arg2-2*x41_1 ], cost: 3 32: f162_0_power_GT -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>1 && 0==arg2-2*x41_1 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 4 Failed to prove monotonicity of the guard of rule 29. Failed to prove monotonicity of the guard of rule 30. Failed to prove monotonicity of the guard of rule 31. Failed to prove monotonicity of the guard of rule 32. [accelerate] Nesting with 4 inner and 4 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 29: f162_0_power_GT -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1<2 && arg2>1 && 1==arg2-2*x37_1 ], cost: 3 30: f162_0_power_GT -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1<2 && arg2>1 && 0==arg2-2*x37_1 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 4 31: f162_0_power_GT -> f162_0_power_GT : arg2'=-1+arg2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1>2 && arg2>1 && 1==arg2-2*x41_1 ], cost: 3 32: f162_0_power_GT -> f162_0_power_GT : arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>1 && 0==arg2-2*x41_1 && arg2P_13>0 && arg2-2*arg2P_13<2 && arg2-2*arg2P_13>=0 ], cost: 4 16: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_15>0 && 0==arg2P_15 ], cost: 2 23: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 ], cost: 3 24: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 && arg1P_5<=arg1P_2 && arg1P_5>0 ], cost: 4 25: __init -> f162_0_power_GT : arg1'=0, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 && arg3P_6>-1 && arg1P_6<=arg1P_2 && arg1P_6>0 ], cost: 4 26: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 ], cost: 3 27: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg1P_5<=arg1P_3 && arg1P_5>0 ], cost: 4 28: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg3P_6>-1 && arg1P_6<=arg1P_3 && arg1P_6>0 ], cost: 4 Chained accelerated rules (with incoming rules): Start location: __init 16: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_15>0 && 0==arg2P_15 ], cost: 2 23: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 ], cost: 3 24: __init -> f162_0_power_GT : arg1'=0, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 && arg1P_5<=arg1P_2 && arg1P_5>0 ], cost: 4 25: __init -> f162_0_power_GT : arg1'=0, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>0 && arg3P_6>-1 && arg1P_6<=arg1P_2 && arg1P_6>0 ], cost: 4 26: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=0, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 ], cost: 3 27: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=0, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg1P_5<=arg1P_3 && arg1P_5>0 ], cost: 4 28: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=arg3P_6, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_3>-1 && arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg3P_6>-1 && arg1P_6<=arg1P_3 && arg1P_6>0 ], cost: 4 33: __init -> f162_0_power_GT : arg1'=0, arg2'=2*x37_1, arg3'=arg3P_14, arg4'=arg4P_14, [ 1+2*x37_1>1 ], cost: 7 34: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=2*x37_1, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2P_3>-1 && arg2P_3<2 && 1+2*x37_1>1 ], cost: 7 35: __init -> f162_0_power_GT : arg1'=0, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ 2*x37_1>1 && arg2P_13>0 && 2*x37_1-2*arg2P_13<2 && 2*x37_1-2*arg2P_13>=0 ], cost: 8 36: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2P_3>-1 && arg2P_3<2 && 2*x37_1>1 && arg2P_13>0 && 2*x37_1-2*arg2P_13<2 && 2*x37_1-2*arg2P_13>=0 ], cost: 8 37: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=2*x41_1, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2P_3>2 && 1+2*x41_1>1 ], cost: 7 38: __init -> f162_0_power_GT : arg1'=arg2P_3, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2P_3>2 && 2*x41_1>1 && arg2P_13>0 && 2*x41_1-2*arg2P_13<2 && 2*x41_1-2*arg2P_13>=0 ], cost: 8 Removed unreachable locations (and leaf rules with constant cost): Start location: __init ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [] WORST_CASE(Omega(1),?)