Analysing control-flow refined program
MPRF for transition t₁₅₉: eval_nestedLoop_7_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆+X₁₁ ∧ 1+X₆ ≤ X₁₁ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₂+X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₈ ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ of depth 1:
new bound:
X₁₁ {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [X₁₁-1-X₆]
• eval_nestedLoop_16_v11: [X₁₁-1-X₆]
• eval_nestedLoop_4_v12: [X₁₁-1-X₇]
• eval_nestedLoop_5_v12: [X₁₁-1-X₇]
• eval_nestedLoop_6_v10: [X₁₁-X₆]
• eval_nestedLoop_7_v1: [X₁₁-X₆]
• eval_nestedLoop_bb1_in_v11: [X₁₁-X₁]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₆]
• eval_nestedLoop_bb6_in_v2: [X₁₁-1-X₆]
MPRF for transition t₂₉₄: eval_nestedLoop_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_15_v11(X₀, 1+X₇, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₁₁ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆+X₁₁ ∧ 1+X₆ ≤ X₁₁ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₂+X₁₁ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₆ ∧ X₃ ≤ X₇ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₈ ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ of depth 1:
new bound:
X₁₁ {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [X₁₁-1-X₇]
• eval_nestedLoop_16_v11: [X₁₁-1-X₇]
• eval_nestedLoop_4_v12: [X₁₁-1-X₇]
• eval_nestedLoop_5_v12: [X₆+X₁₁-1-X₁-X₇]
• eval_nestedLoop_6_v10: [X₁₁-X₆]
• eval_nestedLoop_7_v1: [X₁₁-X₇]
• eval_nestedLoop_bb1_in_v11: [X₁₁-1-X₇]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₁]
• eval_nestedLoop_bb6_in_v2: [X₁₁-X₇]
MPRF for transition t₂₉₅: eval_nestedLoop_15_v11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_16_v11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ X₁ ≤ 1+X₇ ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₁₁ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆+X₁₁ ∧ 1+X₆ ≤ X₁₁ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₂+X₁₁ ∧ X₁ ≤ X₁₁ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₆ ∧ X₃ ≤ X₇ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₈ ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ of depth 1:
new bound:
X₁₁ {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [1+X₁₁-X₁]
• eval_nestedLoop_16_v11: [X₁₁-X₁]
• eval_nestedLoop_4_v12: [X₁₁-X₆]
• eval_nestedLoop_5_v12: [X₁₁-X₁]
• eval_nestedLoop_6_v10: [X₁₁-X₆]
• eval_nestedLoop_7_v1: [X₁₁-X₆]
• eval_nestedLoop_bb1_in_v11: [X₁₁-X₆]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₁]
• eval_nestedLoop_bb6_in_v2: [X₁₁-X₇]
MPRF for transition t₂₉₆: eval_nestedLoop_16_v11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_bb1_in_v11(X₀, X₁, X₂, X₃, X₄, X₅, X₁, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ X₁ ≤ 1+X₇ ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₁₁ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆+X₁₁ ∧ 1+X₆ ≤ X₁₁ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₂+X₁₁ ∧ X₁ ≤ X₁₁ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₆ ∧ X₃ ≤ X₇ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₈ ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ of depth 1:
new bound:
X₁₁ {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [1+X₁₁-X₁]
• eval_nestedLoop_16_v11: [X₁₁-X₇]
• eval_nestedLoop_4_v12: [X₁₁-1-X₇]
• eval_nestedLoop_5_v12: [X₁₁-X₆]
• eval_nestedLoop_6_v10: [X₁₁-X₇]
• eval_nestedLoop_7_v1: [X₁₁-X₆]
• eval_nestedLoop_bb1_in_v11: [X₁₁-1-X₇]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₆]
• eval_nestedLoop_bb6_in_v2: [X₁₁-X₇]
MPRF for transition t₂₉₇: eval_nestedLoop_bb1_in_v11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_4_v12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₇ ∧ X₆ ≤ 1+X₇ ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₆ ∧ 1+X₃ ≤ X₁₁ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₇ ∧ 1+X₇ ≤ X₆ ∧ 1 ≤ X₆+X₈ ∧ 1+X₈ ≤ X₆ ∧ 1 ≤ X₆+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₆+X₁₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₁₁ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₇ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ X₆ ≤ X₁₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₁₁+1 {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [X₁+X₁₁-2⋅X₇]
• eval_nestedLoop_16_v11: [1+X₁₁-X₇]
• eval_nestedLoop_4_v12: [X₁₁-X₇]
• eval_nestedLoop_5_v12: [X₁+X₁₁-X₆-X₇]
• eval_nestedLoop_6_v10: [1+X₁₁-X₆]
• eval_nestedLoop_7_v1: [1+X₁₁-X₇]
• eval_nestedLoop_bb1_in_v11: [1+X₁₁-X₇]
• eval_nestedLoop_bb2_in_v10: [1+X₁₁-X₇]
• eval_nestedLoop_bb6_in_v2: [1+X₁₁-X₇]
MPRF for transition t₂₉₈: eval_nestedLoop_4_v12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_5_v12(X₀, X₁, nondef_0, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₇ ∧ X₆ ≤ 1+X₇ ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₆ ∧ 1+X₃ ≤ X₁₁ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₇ ∧ 1+X₇ ≤ X₆ ∧ 1 ≤ X₆+X₈ ∧ 1+X₈ ≤ X₆ ∧ 1 ≤ X₆+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₆+X₁₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₁₁ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₇ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ X₆ ≤ X₁₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₁₁+1 {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [1+X₁₁-X₇]
• eval_nestedLoop_16_v11: [1+X₁₁-X₇]
• eval_nestedLoop_4_v12: [2+X₁₁-X₆]
• eval_nestedLoop_5_v12: [1+X₁₁-X₆]
• eval_nestedLoop_6_v10: [1+X₁₁-X₆]
• eval_nestedLoop_7_v1: [1+X₁₁-X₆]
• eval_nestedLoop_bb1_in_v11: [X₆+X₁₁-2⋅X₇]
• eval_nestedLoop_bb2_in_v10: [1+X₁₁-X₇]
• eval_nestedLoop_bb6_in_v2: [1+X₁₁-X₇]
MPRF for transition t₃₀₁: eval_nestedLoop_5_v12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_bb2_in_v10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, 0, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1+X₆ ≤ X₁₁ ∧ X₁ ≤ 1+X₇ ∧ X₆ ≤ 1+X₇ ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1+X₃ ≤ X₆ ∧ 1+X₃ ≤ X₁₁ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₇ ∧ 1+X₇ ≤ X₆ ∧ 1 ≤ X₆+X₈ ∧ 1+X₈ ≤ X₆ ∧ 1 ≤ X₆+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₆+X₁₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₁₁ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₇ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ X₆ ≤ X₁₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₁₁ {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [X₁₁-X₆]
• eval_nestedLoop_16_v11: [X₁₁-X₇]
• eval_nestedLoop_4_v12: [X₁₁-X₇]
• eval_nestedLoop_5_v12: [1+X₁₁-X₁]
• eval_nestedLoop_6_v10: [X₁₁-X₁]
• eval_nestedLoop_7_v1: [X₁₁-X₇]
• eval_nestedLoop_bb1_in_v11: [X₁₁-X₇]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₁]
• eval_nestedLoop_bb6_in_v2: [X₁₁-X₆]
MPRF for transition t₃₀₂: eval_nestedLoop_bb2_in_v10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_6_v10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1+X₁ ≤ X₁₁ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₆ ∧ 1+X₃ ≤ X₇ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₈ ∧ 1+X₈ ≤ X₆ ∧ 1 ≤ X₆+X₁₀ ∧ 1 ≤ X₆+X₁₁ ∧ 1+X₆ ≤ X₁₁ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₈ ∧ 1+X₈ ≤ X₇ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₂+X₁₁ ∧ 2+X₃ ≤ X₁₁ ∧ 2 ≤ X₅+X₁₁ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₈+X₁₁ ∧ 2+X₈ ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁₁ ∧ 3 ≤ X₁+X₁₁ ∧ 3 ≤ X₂+X₁₁ ∧ 3 ≤ X₆+X₁₁ ∧ 3 ≤ X₇+X₁₁ ∧ X₆ ≤ X₁ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₆+X₁₀ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ of depth 1:
new bound:
X₁₁+1 {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [X₁₁-1-X₆]
• eval_nestedLoop_16_v11: [X₁₁-1-X₆]
• eval_nestedLoop_4_v12: [X₁₁-1-X₇]
• eval_nestedLoop_5_v12: [X₁₁-X₁]
• eval_nestedLoop_6_v10: [X₁₁-1-X₇]
• eval_nestedLoop_7_v1: [X₁₁-1-X₆]
• eval_nestedLoop_bb1_in_v11: [X₁₁-X₆]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₁]
• eval_nestedLoop_bb6_in_v2: [X₁₁-1-X₇]
MPRF for transition t₃₀₃: eval_nestedLoop_6_v10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_nestedLoop_7_v1(X₀, X₁, X₂, nondef_1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₈ ∧ 1+X₈ ≤ X₁ ∧ 1 ≤ X₁+X₁₀ ∧ 1+X₁ ≤ X₁₁ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₂+X₈ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₂+X₁₀ ∧ 1+X₃ ≤ X₆ ∧ 1+X₃ ≤ X₇ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₅+X₁₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₈ ∧ 1+X₈ ≤ X₆ ∧ 1 ≤ X₆+X₁₀ ∧ 1 ≤ X₆+X₁₁ ∧ 1+X₆ ≤ X₁₁ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₈ ∧ 1+X₈ ≤ X₇ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 1+X₇ ≤ X₁₁ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₂+X₁₁ ∧ 2+X₃ ≤ X₁₁ ∧ 2 ≤ X₅+X₁₁ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₈+X₁₁ ∧ 2+X₈ ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁₁ ∧ 3 ≤ X₁+X₁₁ ∧ 3 ≤ X₂+X₁₁ ∧ 3 ≤ X₆+X₁₁ ∧ 3 ≤ X₇+X₁₁ ∧ X₆ ≤ X₁ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₈ ∧ X₃+X₈ ≤ 0 ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₅+X₈ ∧ X₈ ≤ X₅ ∧ 0 ≤ X₅+X₁₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₆+X₁₀ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₈+X₁₀ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₁₀ ∧ 0 ≤ X₁₀ of depth 1:
new bound:
X₁₁+1 {O(n)}
MPRF:
• eval_nestedLoop_15_v11: [X₁₁-1-X₇]
• eval_nestedLoop_16_v11: [X₁₁-1-X₇]
• eval_nestedLoop_4_v12: [X₁₁-1-X₇]
• eval_nestedLoop_5_v12: [X₁₁-X₆]
• eval_nestedLoop_6_v10: [X₁₁-X₁]
• eval_nestedLoop_7_v1: [X₁₁-1-X₆]
• eval_nestedLoop_bb1_in_v11: [X₁₁-1-X₇]
• eval_nestedLoop_bb2_in_v10: [X₁₁-X₆]
• eval_nestedLoop_bb6_in_v2: [X₁₁-1-X₇]
All Bounds
Timebounds
Overall timebound:2⋅X₁₀⋅X₅+9⋅X₁₀⋅X₁₁+11⋅X₁₀+13⋅X₁₁+3⋅X₅+23 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: X₁₁+1 {O(n)}
t₁₀: X₁₁+1 {O(n)}
t₁₁: X₁₁ {O(n)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₅: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₆: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₇: X₁₁+1 {O(n)}
t₁₈: X₁₁+1 {O(n)}
t₁₉: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₀: X₁₀⋅X₁₁+X₁₀⋅X₅+2⋅X₁₀+X₁₁+X₅+2 {O(n^2)}
t₂₁: X₁₀⋅X₁₁+X₁₀⋅X₅+2⋅X₁₀ {O(n^2)}
t₂₂: X₅+1 {O(n)}
t₂₃: X₁₀⋅X₁₁+X₁₀ {O(n^2)}
t₂₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀ {O(n^2)}
t₂₅: X₅ {O(n)}
t₂₆: X₁₁ {O(n)}
t₂₇: X₁₁ {O(n)}
t₂₈: X₁₁ {O(n)}
t₂₉: 1 {O(1)}
Costbounds
Overall costbound: 2⋅X₁₀⋅X₅+9⋅X₁₀⋅X₁₁+11⋅X₁₀+13⋅X₁₁+3⋅X₅+23 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: X₁₁+1 {O(n)}
t₁₀: X₁₁+1 {O(n)}
t₁₁: X₁₁ {O(n)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₅: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₆: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₇: X₁₁+1 {O(n)}
t₁₈: X₁₁+1 {O(n)}
t₁₉: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₀: X₁₀⋅X₁₁+X₁₀⋅X₅+2⋅X₁₀+X₁₁+X₅+2 {O(n^2)}
t₂₁: X₁₀⋅X₁₁+X₁₀⋅X₅+2⋅X₁₀ {O(n^2)}
t₂₂: X₅+1 {O(n)}
t₂₃: X₁₀⋅X₁₁+X₁₀ {O(n^2)}
t₂₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀ {O(n^2)}
t₂₅: X₅ {O(n)}
t₂₆: X₁₁ {O(n)}
t₂₇: X₁₁ {O(n)}
t₂₈: X₁₁ {O(n)}
t₂₉: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₀, X₉: X₉ {O(n)}
t₀, X₁₀: X₁₀ {O(n)}
t₀, X₁₁: X₁₁ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₉ {O(n)}
t₁, X₁₀: X₁₀ {O(n)}
t₁, X₁₁: X₁₁ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₂, X₁₀: X₁₀ {O(n)}
t₂, X₁₁: X₁₁ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₇ {O(n)}
t₃, X₈: X₈ {O(n)}
t₃, X₉: X₉ {O(n)}
t₃, X₁₀: X₁₀ {O(n)}
t₃, X₁₁: X₁₁ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₄, X₈: X₈ {O(n)}
t₄, X₉: X₉ {O(n)}
t₄, X₁₀: X₁₀ {O(n)}
t₄, X₁₁: X₁₁ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: 0 {O(1)}
t₅, X₇: X₇ {O(n)}
t₅, X₈: X₈ {O(n)}
t₅, X₉: X₉ {O(n)}
t₅, X₁₀: X₁₀ {O(n)}
t₅, X₁₁: X₁₁ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₇ {O(n)}
t₆, X₈: X₈ {O(n)}
t₆, X₉: X₉ {O(n)}
t₆, X₁₀: X₁₀ {O(n)}
t₆, X₁₁: X₁₁ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₇, X₇: X₇ {O(n)}
t₇, X₈: X₈ {O(n)}
t₇, X₉: X₉ {O(n)}
t₇, X₁₀: X₁₀ {O(n)}
t₇, X₁₁: X₁₁ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₈, X₇: X₇ {O(n)}
t₈, X₈: X₈ {O(n)}
t₈, X₉: X₉ {O(n)}
t₈, X₁₀: X₁₀ {O(n)}
t₈, X₁₁: X₁₁ {O(n)}
t₉, X₁: X₁+X₁₁+X₅ {O(n)}
t₉, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₁₁+X₅ {O(n)}
t₉, X₇: 2⋅X₁₁+2⋅X₅+X₇ {O(n)}
t₉, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₈+2 {O(n^2)}
t₉, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₉, X₁₀: X₁₀ {O(n)}
t₉, X₁₁: X₁₁ {O(n)}
t₁₀, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₀, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₁₁+X₅ {O(n)}
t₁₀, X₇: 2⋅X₁₁+2⋅X₅+X₇ {O(n)}
t₁₀, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₈+2 {O(n^2)}
t₁₀, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₀, X₁₀: X₁₀ {O(n)}
t₁₀, X₁₁: X₁₁ {O(n)}
t₁₁, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₁, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₁₁+X₅ {O(n)}
t₁₁, X₇: X₁₁+X₅ {O(n)}
t₁₁, X₈: 0 {O(1)}
t₁₁, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₁, X₁₀: X₁₀ {O(n)}
t₁₁, X₁₁: X₁₁ {O(n)}
t₁₂, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₂, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₂, X₅: X₅ {O(n)}
t₁₂, X₆: X₁₁+X₅ {O(n)}
t₁₂, X₇: 2⋅X₁₁+2⋅X₅+X₇ {O(n)}
t₁₂, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₈+2 {O(n^2)}
t₁₂, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₂, X₁₀: X₁₀ {O(n)}
t₁₂, X₁₁: X₁₁ {O(n)}
t₁₃, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₃, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₃, X₅: X₅ {O(n)}
t₁₃, X₆: X₁₁+X₅ {O(n)}
t₁₃, X₇: 2⋅X₁₁+2⋅X₅+X₇ {O(n)}
t₁₃, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₈+2 {O(n^2)}
t₁₃, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₃, X₁₀: X₁₀ {O(n)}
t₁₃, X₁₁: X₁₁ {O(n)}
t₁₄, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₄, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₁₁+X₅ {O(n)}
t₁₄, X₇: X₁₁+X₅ {O(n)}
t₁₄, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₄, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₄, X₁₀: X₁₀ {O(n)}
t₁₄, X₁₁: X₁₁ {O(n)}
t₁₅, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₅, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₅, X₅: X₅ {O(n)}
t₁₅, X₆: X₁₁+X₅ {O(n)}
t₁₅, X₇: X₁₁+X₅ {O(n)}
t₁₅, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₅, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₅, X₁₀: X₁₀ {O(n)}
t₁₅, X₁₁: X₁₁ {O(n)}
t₁₆, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₆, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₆, X₅: X₅ {O(n)}
t₁₆, X₆: X₁₁+X₅ {O(n)}
t₁₆, X₇: X₁₁+X₅ {O(n)}
t₁₆, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₆, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₆, X₁₀: X₁₀ {O(n)}
t₁₆, X₁₁: X₁₁ {O(n)}
t₁₇, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₇, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₁₁+X₅ {O(n)}
t₁₇, X₇: X₁₁+X₅ {O(n)}
t₁₇, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₇, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₇, X₁₀: X₁₀ {O(n)}
t₁₇, X₁₁: X₁₁ {O(n)}
t₁₈, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₈, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₁₈, X₅: X₅ {O(n)}
t₁₈, X₆: X₁₁+X₅ {O(n)}
t₁₈, X₇: X₁₁+X₅ {O(n)}
t₁₈, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₈, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₁₈, X₁₀: X₁₀ {O(n)}
t₁₈, X₁₁: X₁₁ {O(n)}
t₁₉, X₁: X₁+X₁₁+X₅ {O(n)}
t₁₉, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₉, X₅: X₅ {O(n)}
t₁₉, X₆: X₁₁+X₅ {O(n)}
t₁₉, X₇: X₁₁+X₅ {O(n)}
t₁₉, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₁₉, X₉: X₁₁+X₅ {O(n)}
t₁₉, X₁₀: X₁₀ {O(n)}
t₁₉, X₁₁: X₁₁ {O(n)}
t₂₀, X₁: X₁+X₁₁+X₅ {O(n)}
t₂₀, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₀, X₅: X₅ {O(n)}
t₂₀, X₆: X₁₁+X₅ {O(n)}
t₂₀, X₇: X₁₁+X₅ {O(n)}
t₂₀, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₀, X₉: X₁₁+X₅ {O(n)}
t₂₀, X₁₀: X₁₀ {O(n)}
t₂₀, X₁₁: X₁₁ {O(n)}
t₂₁, X₁: X₁+X₁₁+X₅ {O(n)}
t₂₁, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₁, X₅: X₅ {O(n)}
t₂₁, X₆: X₁₁+X₅ {O(n)}
t₂₁, X₇: X₁₁+X₅ {O(n)}
t₂₁, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₁, X₉: X₁₁+X₅ {O(n)}
t₂₁, X₁₀: X₁₀ {O(n)}
t₂₁, X₁₁: X₁₁ {O(n)}
t₂₂, X₁: X₁+X₁₁+X₅ {O(n)}
t₂₂, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₂, X₅: X₅ {O(n)}
t₂₂, X₆: X₁₁+X₅ {O(n)}
t₂₂, X₇: X₁₁+X₅ {O(n)}
t₂₂, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₂, X₉: X₁₁+X₅ {O(n)}
t₂₂, X₁₀: X₁₀ {O(n)}
t₂₂, X₁₁: X₁₁ {O(n)}
t₂₃, X₁: X₁+X₁₁+X₅ {O(n)}
t₂₃, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₃, X₅: X₅ {O(n)}
t₂₃, X₆: X₁₁+X₅ {O(n)}
t₂₃, X₇: X₁₁+X₅ {O(n)}
t₂₃, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₃, X₉: X₁₁+X₅ {O(n)}
t₂₃, X₁₀: X₁₀ {O(n)}
t₂₃, X₁₁: X₁₁ {O(n)}
t₂₄, X₁: X₁+X₁₁+X₅ {O(n)}
t₂₄, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₄, X₅: X₅ {O(n)}
t₂₄, X₆: X₁₁+X₅ {O(n)}
t₂₄, X₇: X₁₁+X₅ {O(n)}
t₂₄, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₄, X₉: X₁₁+X₅ {O(n)}
t₂₄, X₁₀: X₁₀ {O(n)}
t₂₄, X₁₁: X₁₁ {O(n)}
t₂₅, X₁: X₁+X₁₁+X₅ {O(n)}
t₂₅, X₄: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₅, X₅: X₅ {O(n)}
t₂₅, X₆: X₁₁+X₅ {O(n)}
t₂₅, X₇: X₁₁+X₅ {O(n)}
t₂₅, X₈: X₁₀⋅X₁₁+X₁₀+X₁₁+1 {O(n^2)}
t₂₅, X₉: X₁₁+X₅ {O(n)}
t₂₅, X₁₀: X₁₀ {O(n)}
t₂₅, X₁₁: X₁₁ {O(n)}
t₂₆, X₁: X₁₁+X₅ {O(n)}
t₂₆, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₂₆, X₅: X₅ {O(n)}
t₂₆, X₆: 2⋅X₁₁+2⋅X₅ {O(n)}
t₂₆, X₇: 2⋅X₁₁+2⋅X₅ {O(n)}
t₂₆, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+2 {O(n^2)}
t₂₆, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₂₆, X₁₀: X₁₀ {O(n)}
t₂₆, X₁₁: X₁₁ {O(n)}
t₂₇, X₁: X₁₁+X₅ {O(n)}
t₂₇, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₂₇, X₅: X₅ {O(n)}
t₂₇, X₆: 2⋅X₁₁+2⋅X₅ {O(n)}
t₂₇, X₇: 2⋅X₁₁+2⋅X₅ {O(n)}
t₂₇, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+2 {O(n^2)}
t₂₇, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₂₇, X₁₀: X₁₀ {O(n)}
t₂₇, X₁₁: X₁₁ {O(n)}
t₂₈, X₁: X₁₁+X₅ {O(n)}
t₂₈, X₄: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+X₄+2 {O(n^2)}
t₂₈, X₅: X₅ {O(n)}
t₂₈, X₆: X₁₁+X₅ {O(n)}
t₂₈, X₇: 2⋅X₁₁+2⋅X₅ {O(n)}
t₂₈, X₈: 2⋅X₁₀⋅X₁₁+2⋅X₁₀+2⋅X₁₁+2 {O(n^2)}
t₂₈, X₉: 2⋅X₁₁+2⋅X₅+X₉ {O(n)}
t₂₈, X₁₀: X₁₀ {O(n)}
t₂₈, X₁₁: X₁₁ {O(n)}
t₂₉, X₁: 2⋅X₁₁+2⋅X₅+5⋅X₁ {O(n)}
t₂₉, X₄: 4⋅X₁₀⋅X₁₁+4⋅X₁₀+4⋅X₁₁+5⋅X₄+4 {O(n^2)}
t₂₉, X₅: 5⋅X₅ {O(n)}
t₂₉, X₆: 2⋅X₁₁+2⋅X₅+3⋅X₆ {O(n)}
t₂₉, X₇: 4⋅X₁₁+4⋅X₅+5⋅X₇ {O(n)}
t₂₉, X₈: 4⋅X₁₀⋅X₁₁+4⋅X₁₀+4⋅X₁₁+5⋅X₈+4 {O(n^2)}
t₂₉, X₉: 4⋅X₁₁+4⋅X₅+5⋅X₉ {O(n)}
t₂₉, X₁₀: 5⋅X₁₀ {O(n)}
t₂₉, X₁₁: 5⋅X₁₁ {O(n)}