Analysing control-flow refined program
knowledge_propagation leads to new time bound X₅+2 {O(n)} for transition t₇₅: eval_textbook_ex3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb3_in_v1(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1 ∧ X₃ ≤ 1+X₅ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₅
knowledge_propagation leads to new time bound X₅+2 {O(n)} for transition t₇₆: eval_textbook_ex3_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb6_in_v1(1+X₂, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₂ ∧ X₃ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅
knowledge_propagation leads to new time bound X₅+2 {O(n)} for transition t₇₇: eval_textbook_ex3_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb4_in_v1(1+X₂, X₁, X₂, X₃, 1, X₅) :|: 1+X₂ ≤ X₅ ∧ X₃ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅
knowledge_propagation leads to new time bound X₅+2 {O(n)} for transition t₉₁: eval_textbook_ex3_bb6_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb2_in_v2(X₀, X₁, X₂, 1+X₃, X₄, X₅) :|: X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅
knowledge_propagation leads to new time bound X₅+2 {O(n)} for transition t₉₂: eval_textbook_ex3_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₁ ≤ X₃ ∧ X₃ ≤ 2 ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ X₃ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅
knowledge_propagation leads to new time bound X₅+2 {O(n)} for transition t₉₃: eval_textbook_ex3_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb3_in_v4(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ X₃ ≤ 2 ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ X₃ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅
MPRF for transition t₈₄: eval_textbook_ex3_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb6_in_v2(1+X₂, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₂ ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₄ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₂+X₄ ∧ 5 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
X₅⋅X₅+9⋅X₅+12 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [-X₅]
• eval_textbook_ex3_bb2_in: [-X₅]
• eval_textbook_ex3_bb2_in_v1: [1+X₁+X₄-X₀-X₃]
• eval_textbook_ex3_bb2_in_v2: [-X₅]
• eval_textbook_ex3_bb2_in_v3: [-X₅]
• eval_textbook_ex3_bb3_in_v1: [-X₅]
• eval_textbook_ex3_bb3_in_v2: [1+X₁-X₃]
• eval_textbook_ex3_bb3_in_v3: [X₂+X₄-X₃-X₅]
• eval_textbook_ex3_bb3_in_v4: [-X₅]
• eval_textbook_ex3_bb4_in_v1: [1+X₁-X₃]
• eval_textbook_ex3_bb4_in_v2: [1+X₁-X₃]
• eval_textbook_ex3_bb4_in_v3: [1+X₁-X₃]
• eval_textbook_ex3_bb5_in_v1: [1+X₁-X₃]
• eval_textbook_ex3_bb5_in_v2: [1+X₁-X₃]
• eval_textbook_ex3_bb5_in_v3: [1+X₁-X₃]
• eval_textbook_ex3_bb6_in_v1: [-X₅]
• eval_textbook_ex3_bb6_in_v2: [X₁-X₃]
• eval_textbook_ex3_bb6_in_v3: [-X₅]
• eval_textbook_ex3_bb7_in: [-X₅]
MPRF for transition t₈₆: eval_textbook_ex3_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb2_in_v1(X₀, X₁, X₂, 1+X₃, X₄, X₅) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2+X₁ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₅ ∧ 5 ≤ X₂+X₄ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
X₅⋅X₅+6⋅X₅+X₄+4 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₄-2⋅X₅]
• eval_textbook_ex3_bb2_in: [X₄-2⋅X₅]
• eval_textbook_ex3_bb2_in_v1: [X₄-1-X₃]
• eval_textbook_ex3_bb2_in_v2: [X₄-2⋅X₅]
• eval_textbook_ex3_bb2_in_v3: [X₄-2⋅X₅]
• eval_textbook_ex3_bb3_in_v1: [X₄-2⋅X₅]
• eval_textbook_ex3_bb3_in_v2: [1+X₀+X₅-X₃-X₄]
• eval_textbook_ex3_bb3_in_v3: [X₀-1-X₃]
• eval_textbook_ex3_bb3_in_v4: [X₄-2⋅X₅]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₃]
• eval_textbook_ex3_bb4_in_v2: [X₅-X₃]
• eval_textbook_ex3_bb4_in_v3: [X₅-X₃]
• eval_textbook_ex3_bb5_in_v1: [X₅-X₃]
• eval_textbook_ex3_bb5_in_v2: [X₅-X₃]
• eval_textbook_ex3_bb5_in_v3: [X₅-X₃]
• eval_textbook_ex3_bb6_in_v1: [X₄-2⋅X₅]
• eval_textbook_ex3_bb6_in_v2: [X₀-1-X₃]
• eval_textbook_ex3_bb6_in_v3: [X₄-2⋅X₅]
• eval_textbook_ex3_bb7_in: [X₄-2⋅X₅]
MPRF for transition t₈₇: eval_textbook_ex3_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₁ ≤ X₃ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₅ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2+X₁ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₅ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₅ ∧ 5 ≤ X₂+X₄ ∧ 5 ≤ X₃+X₄ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
X₅+1 {O(n)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅-X₁]
• eval_textbook_ex3_bb2_in: [X₅-X₁]
• eval_textbook_ex3_bb2_in_v1: [X₅-X₁]
• eval_textbook_ex3_bb2_in_v2: [X₀+X₅-1-X₁-X₂]
• eval_textbook_ex3_bb2_in_v3: [X₀+2⋅X₅-1-2⋅X₁-X₂]
• eval_textbook_ex3_bb3_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb3_in_v2: [1+X₀+X₅-X₁-X₄]
• eval_textbook_ex3_bb3_in_v3: [X₄-1-X₂]
• eval_textbook_ex3_bb3_in_v4: [X₀+X₅-1-2⋅X₁]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₁]
• eval_textbook_ex3_bb4_in_v2: [X₅-X₁]
• eval_textbook_ex3_bb4_in_v3: [X₅-X₁]
• eval_textbook_ex3_bb5_in_v1: [X₅-X₁]
• eval_textbook_ex3_bb5_in_v2: [X₅-X₁]
• eval_textbook_ex3_bb5_in_v3: [X₅-X₁]
• eval_textbook_ex3_bb6_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb6_in_v2: [1+2⋅X₂-X₁-X₄]
• eval_textbook_ex3_bb6_in_v3: [2⋅X₅-2⋅X₁]
• eval_textbook_ex3_bb7_in: [X₀-2-X₁]
MPRF for transition t₈₈: eval_textbook_ex3_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb3_in_v3(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₅ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2+X₁ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₅ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₅ ∧ 5 ≤ X₂+X₄ ∧ 5 ≤ X₃+X₄ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
X₅⋅X₅+11⋅X₅+22 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [3-3⋅X₁-X₅]
• eval_textbook_ex3_bb2_in: [X₁+3⋅X₃-5⋅X₅]
• eval_textbook_ex3_bb2_in_v1: [4+X₁-X₃]
• eval_textbook_ex3_bb2_in_v2: [4⋅X₂-3⋅X₁-5⋅X₅]
• eval_textbook_ex3_bb2_in_v3: [6+3⋅X₁+6⋅X₂-6⋅X₀-7⋅X₅]
• eval_textbook_ex3_bb3_in_v1: [3+X₂-5⋅X₅]
• eval_textbook_ex3_bb3_in_v2: [3+X₁-X₃]
• eval_textbook_ex3_bb3_in_v3: [3+X₁-X₃]
• eval_textbook_ex3_bb3_in_v4: [3⋅X₁-7⋅X₅]
• eval_textbook_ex3_bb4_in_v1: [3+X₁-X₃]
• eval_textbook_ex3_bb4_in_v2: [3+X₁-X₃]
• eval_textbook_ex3_bb4_in_v3: [3+X₁-X₃]
• eval_textbook_ex3_bb5_in_v1: [3+X₁-X₃]
• eval_textbook_ex3_bb5_in_v2: [3+X₁-X₃]
• eval_textbook_ex3_bb5_in_v3: [3+X₁-X₃]
• eval_textbook_ex3_bb6_in_v1: [X₂-5⋅X₅]
• eval_textbook_ex3_bb6_in_v2: [1+X₁+2⋅X₄-2⋅X₂-X₃]
• eval_textbook_ex3_bb6_in_v3: [6+3⋅X₁+6⋅X₂-6⋅X₀-7⋅X₅]
• eval_textbook_ex3_bb7_in: [-3⋅X₁-X₅]
MPRF for transition t₈₉: eval_textbook_ex3_bb3_in_v3(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb4_in_v1(1+X₂, X₁, X₂, X₃, 1, X₅) :|: 1+X₂ ≤ X₅ ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2+X₁ ≤ X₀ ∧ 2+X₂ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2+X₂ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₄ ∧ 3 ≤ X₅ ∧ 4 ≤ X₀ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₄ ∧ 5 ≤ X₁+X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃+X₅ ∧ 6 ≤ X₀+X₁ ∧ 6 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 6 ≤ X₁+X₄ ∧ 6 ≤ X₂+X₄ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₅ ∧ 7 ≤ X₄+X₅ ∧ 8 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
X₅⋅X₅+7⋅X₅+X₄+10 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [-X₄]
• eval_textbook_ex3_bb2_in: [-X₄]
• eval_textbook_ex3_bb2_in_v1: [2+X₁+X₂-X₃-X₄]
• eval_textbook_ex3_bb2_in_v2: [-X₄]
• eval_textbook_ex3_bb2_in_v3: [-X₄]
• eval_textbook_ex3_bb3_in_v1: [-X₄]
• eval_textbook_ex3_bb3_in_v2: [X₁-X₃]
• eval_textbook_ex3_bb3_in_v3: [1+X₂-X₃]
• eval_textbook_ex3_bb3_in_v4: [-X₄]
• eval_textbook_ex3_bb4_in_v1: [X₁-X₃]
• eval_textbook_ex3_bb4_in_v2: [X₁-X₃]
• eval_textbook_ex3_bb4_in_v3: [X₁-X₃]
• eval_textbook_ex3_bb5_in_v1: [X₁-X₃]
• eval_textbook_ex3_bb5_in_v2: [X₁-X₃]
• eval_textbook_ex3_bb5_in_v3: [X₁-X₃]
• eval_textbook_ex3_bb6_in_v1: [-X₄]
• eval_textbook_ex3_bb6_in_v2: [X₁+X₂-X₃-X₅]
• eval_textbook_ex3_bb6_in_v3: [-X₄]
• eval_textbook_ex3_bb7_in: [1+X₁-X₃-X₄]
MPRF for transition t₉₄: eval_textbook_ex3_bb3_in_v4(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb6_in_v3(1+X₂, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₂ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₅ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₅ ∧ X₂ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅+12⋅X₅+14 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₄-1]
• eval_textbook_ex3_bb2_in_v2: [X₁]
• eval_textbook_ex3_bb2_in_v3: [X₀+X₂-X₃]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅]
• eval_textbook_ex3_bb3_in_v3: [X₀-1]
• eval_textbook_ex3_bb3_in_v4: [X₀+X₅-X₃]
• eval_textbook_ex3_bb4_in_v1: [X₅]
• eval_textbook_ex3_bb4_in_v2: [X₅]
• eval_textbook_ex3_bb4_in_v3: [X₅]
• eval_textbook_ex3_bb5_in_v1: [X₅]
• eval_textbook_ex3_bb5_in_v2: [X₅]
• eval_textbook_ex3_bb5_in_v3: [X₅]
• eval_textbook_ex3_bb6_in_v1: [X₂]
• eval_textbook_ex3_bb6_in_v2: [X₂]
• eval_textbook_ex3_bb6_in_v3: [X₀+X₁-1-X₃]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₉₅: eval_textbook_ex3_bb6_in_v3(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb2_in_v3(X₀, X₁, X₂, 1+X₃, X₄, X₅) :|: X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₅ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₅ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅+16⋅X₅+22 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₅]
• eval_textbook_ex3_bb2_in_v2: [X₂]
• eval_textbook_ex3_bb2_in_v3: [2⋅X₀-1-X₃]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅]
• eval_textbook_ex3_bb3_in_v3: [X₀-1]
• eval_textbook_ex3_bb3_in_v4: [2⋅X₀-1-X₃]
• eval_textbook_ex3_bb4_in_v1: [X₅]
• eval_textbook_ex3_bb4_in_v2: [X₅]
• eval_textbook_ex3_bb4_in_v3: [X₅]
• eval_textbook_ex3_bb5_in_v1: [X₅]
• eval_textbook_ex3_bb5_in_v2: [X₅]
• eval_textbook_ex3_bb5_in_v3: [X₅]
• eval_textbook_ex3_bb6_in_v1: [X₀-1]
• eval_textbook_ex3_bb6_in_v2: [X₂]
• eval_textbook_ex3_bb6_in_v3: [2⋅X₀-1-X₃]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₉₆: eval_textbook_ex3_bb2_in_v3(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₁ ≤ X₃ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ X₃ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 3 ≤ X₃ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₅ ∧ 5 ≤ X₁+X₃ ∧ 5 ≤ X₂+X₃ ∧ 5 ≤ X₃+X₅ ∧ 6 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ of depth 1:
new bound:
2⋅X₅+1 {O(n)}
MPRF:
• eval_textbook_ex3_bb1_in: [2⋅X₅-X₁]
• eval_textbook_ex3_bb2_in: [2⋅X₅-X₁]
• eval_textbook_ex3_bb2_in_v1: [2⋅X₅-X₁]
• eval_textbook_ex3_bb2_in_v2: [X₂]
• eval_textbook_ex3_bb2_in_v3: [X₁]
• eval_textbook_ex3_bb3_in_v1: [2⋅X₅-X₁]
• eval_textbook_ex3_bb3_in_v2: [2⋅X₅-X₁]
• eval_textbook_ex3_bb3_in_v3: [2⋅X₅-X₁]
• eval_textbook_ex3_bb3_in_v4: [X₁]
• eval_textbook_ex3_bb4_in_v1: [2⋅X₅-X₁]
• eval_textbook_ex3_bb4_in_v2: [2⋅X₅-X₁]
• eval_textbook_ex3_bb4_in_v3: [2⋅X₅-X₁]
• eval_textbook_ex3_bb5_in_v1: [2⋅X₅-X₁]
• eval_textbook_ex3_bb5_in_v2: [2⋅X₅-X₁]
• eval_textbook_ex3_bb5_in_v3: [2⋅X₅-X₁]
• eval_textbook_ex3_bb6_in_v1: [X₅]
• eval_textbook_ex3_bb6_in_v2: [2⋅X₂-X₁]
• eval_textbook_ex3_bb6_in_v3: [X₁]
• eval_textbook_ex3_bb7_in: [2⋅X₅-1-X₁]
MPRF for transition t₉₇: eval_textbook_ex3_bb2_in_v3(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb3_in_v4(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₅ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ X₃ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀ ∧ 3 ≤ X₃ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₅ ∧ 5 ≤ X₁+X₃ ∧ 5 ≤ X₂+X₃ ∧ 5 ≤ X₃+X₅ ∧ 6 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅+10⋅X₅+11 {O(n^2)}
MPRF:
• eval_textbook_ex3_bb1_in: [1+X₅]
• eval_textbook_ex3_bb2_in: [1+X₅]
• eval_textbook_ex3_bb2_in_v1: [X₀]
• eval_textbook_ex3_bb2_in_v2: [X₀]
• eval_textbook_ex3_bb2_in_v3: [2+2⋅X₅-X₃]
• eval_textbook_ex3_bb3_in_v1: [1+X₅]
• eval_textbook_ex3_bb3_in_v2: [1+X₅]
• eval_textbook_ex3_bb3_in_v3: [X₄]
• eval_textbook_ex3_bb3_in_v4: [1+2⋅X₅-X₃]
• eval_textbook_ex3_bb4_in_v1: [1+X₅]
• eval_textbook_ex3_bb4_in_v2: [1+X₅]
• eval_textbook_ex3_bb4_in_v3: [1+X₅]
• eval_textbook_ex3_bb5_in_v1: [1+X₅]
• eval_textbook_ex3_bb5_in_v2: [1+X₅]
• eval_textbook_ex3_bb5_in_v3: [1+X₅]
• eval_textbook_ex3_bb6_in_v1: [1+X₅]
• eval_textbook_ex3_bb6_in_v2: [X₀]
• eval_textbook_ex3_bb6_in_v3: [1+X₂+X₅-X₃]
• eval_textbook_ex3_bb7_in: [1+X₅]
MPRF for transition t₇₈: eval_textbook_ex3_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₄ ≤ X₀ ∧ X₄ ≤ 2+X₂ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₃ of depth 1:
new bound:
2⋅X₅⋅X₅⋅X₅+2⋅X₄⋅X₅+20⋅X₅⋅X₅+5⋅X₄+58⋅X₅+51 {O(n^3)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb2_in_v2: [X₅]
• eval_textbook_ex3_bb2_in_v3: [X₅]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb3_in_v3: [X₀-X₄]
• eval_textbook_ex3_bb3_in_v4: [X₅]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v2: [X₅-1-X₂]
• eval_textbook_ex3_bb4_in_v3: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v1: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v2: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v3: [X₅-1-X₂]
• eval_textbook_ex3_bb6_in_v1: [X₅]
• eval_textbook_ex3_bb6_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb6_in_v3: [X₅]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₇₉: eval_textbook_ex3_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb4_in_v2(X₀, X₁, X₂, X₃, 1+X₄, X₅) :|: X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅⋅X₅+2⋅X₄⋅X₅+20⋅X₅⋅X₅+5⋅X₄+58⋅X₅+51 {O(n^3)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb2_in_v2: [X₅]
• eval_textbook_ex3_bb2_in_v3: [X₅]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb3_in_v3: [X₀-X₄]
• eval_textbook_ex3_bb3_in_v4: [X₅]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v2: [X₅-1-X₂]
• eval_textbook_ex3_bb4_in_v3: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v2: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v3: [X₅-X₀]
• eval_textbook_ex3_bb6_in_v1: [X₅]
• eval_textbook_ex3_bb6_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb6_in_v3: [X₅]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₈₀: eval_textbook_ex3_bb4_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb5_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₄ ≤ X₀ ∧ X₄ ≤ 2+X₂ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₀+X₄ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₄+X₅ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅⋅X₅+2⋅X₄⋅X₅+20⋅X₅⋅X₅+5⋅X₄+58⋅X₅+51 {O(n^3)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb2_in_v2: [X₅]
• eval_textbook_ex3_bb2_in_v3: [X₅]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb3_in_v3: [X₀-1-X₅]
• eval_textbook_ex3_bb3_in_v4: [X₅]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v2: [1+X₅-X₀]
• eval_textbook_ex3_bb4_in_v3: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v2: [X₅-X₀]
• eval_textbook_ex3_bb5_in_v3: [X₅-1-X₂]
• eval_textbook_ex3_bb6_in_v1: [X₅]
• eval_textbook_ex3_bb6_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb6_in_v3: [X₅]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₈₁: eval_textbook_ex3_bb5_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb4_in_v3(X₀, X₁, X₂, X₃, 1+X₄, X₅) :|: X₄ ≤ 2 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₃ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₀+X₄ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅⋅X₅+2⋅X₄⋅X₅+20⋅X₅⋅X₅+5⋅X₄+58⋅X₅+51 {O(n^3)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb2_in_v2: [2⋅X₅-X₁]
• eval_textbook_ex3_bb2_in_v3: [2⋅X₅-X₁]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb3_in_v3: [X₄-X₂-X₅]
• eval_textbook_ex3_bb3_in_v4: [2⋅X₅-X₁]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v2: [X₄+X₅-1-X₀]
• eval_textbook_ex3_bb4_in_v3: [X₅-1-X₂]
• eval_textbook_ex3_bb5_in_v1: [1+X₅-X₀]
• eval_textbook_ex3_bb5_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v3: [X₅-X₀]
• eval_textbook_ex3_bb6_in_v1: [X₅]
• eval_textbook_ex3_bb6_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb6_in_v3: [2⋅X₅-X₁]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₈₃: eval_textbook_ex3_bb4_in_v3(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb3_in_v2(X₀, X₁, X₀, X₃, X₄, X₅) :|: 1+X₀ ≤ X₄ ∧ X₄ ≤ 2+X₂ ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₄+X₅ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ of depth 1:
new bound:
2⋅X₅⋅X₅⋅X₅+2⋅X₄⋅X₅+20⋅X₅⋅X₅+5⋅X₄+58⋅X₅+51 {O(n^3)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [0]
• eval_textbook_ex3_bb2_in_v2: [X₅]
• eval_textbook_ex3_bb2_in_v3: [X₅]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [X₅-X₀]
• eval_textbook_ex3_bb3_in_v3: [X₅-X₁-X₄]
• eval_textbook_ex3_bb3_in_v4: [X₅]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v3: [1+X₅-X₀]
• eval_textbook_ex3_bb5_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v3: [1+X₅-X₀]
• eval_textbook_ex3_bb6_in_v1: [X₅]
• eval_textbook_ex3_bb6_in_v2: [0]
• eval_textbook_ex3_bb6_in_v3: [X₅]
• eval_textbook_ex3_bb7_in: [X₅]
MPRF for transition t₈₅: eval_textbook_ex3_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_textbook_ex3_bb4_in_v1(1+X₂, X₁, X₂, X₃, 1, X₅) :|: 1+X₂ ≤ X₅ ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₅ ∧ 1+X₁ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₄ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₂+X₄ ∧ 5 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₅ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₃ ≤ X₅ of depth 1:
new bound:
2⋅X₅⋅X₅⋅X₅+2⋅X₄⋅X₅+20⋅X₅⋅X₅+5⋅X₄+58⋅X₅+51 {O(n^3)}
MPRF:
• eval_textbook_ex3_bb1_in: [X₅]
• eval_textbook_ex3_bb2_in: [X₅]
• eval_textbook_ex3_bb2_in_v1: [X₅-X₄]
• eval_textbook_ex3_bb2_in_v2: [X₅]
• eval_textbook_ex3_bb2_in_v3: [X₅]
• eval_textbook_ex3_bb3_in_v1: [X₅]
• eval_textbook_ex3_bb3_in_v2: [2+X₅-X₄]
• eval_textbook_ex3_bb3_in_v3: [X₅-X₄]
• eval_textbook_ex3_bb3_in_v4: [X₅]
• eval_textbook_ex3_bb4_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v2: [X₅-X₂]
• eval_textbook_ex3_bb4_in_v3: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v1: [X₅-X₂]
• eval_textbook_ex3_bb5_in_v2: [1+X₅-X₀]
• eval_textbook_ex3_bb5_in_v3: [X₅-X₂]
• eval_textbook_ex3_bb6_in_v1: [X₁]
• eval_textbook_ex3_bb6_in_v2: [X₅-X₄]
• eval_textbook_ex3_bb6_in_v3: [X₅]
• eval_textbook_ex3_bb7_in: [X₅]
All Bounds
Timebounds
Overall timebound:20⋅X₅⋅X₅⋅X₅⋅X₅+176⋅X₅⋅X₅⋅X₅+580⋅X₅⋅X₅+832⋅X₅+416 {O(n^4)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₅+2 {O(n)}
t₃: 1 {O(1)}
t₄: X₅⋅X₅+3⋅X₅ {O(n^2)}
t₅: X₅+3 {O(n)}
t₆: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+315⋅X₅+174 {O(n^3)}
t₇: X₅⋅X₅+3⋅X₅ {O(n^2)}
t₈: 10⋅X₅⋅X₅⋅X₅⋅X₅+83⋅X₅⋅X₅⋅X₅+260⋅X₅⋅X₅+359⋅X₅+174 {O(n^4)}
t₉: 10⋅X₅⋅X₅⋅X₅+53⋅X₅⋅X₅+86⋅X₅+43 {O(n^3)}
t₁₀: 10⋅X₅⋅X₅⋅X₅⋅X₅+53⋅X₅⋅X₅⋅X₅+86⋅X₅⋅X₅+44⋅X₅ {O(n^4)}
t₁₁: 5⋅X₅⋅X₅+19⋅X₅+14 {O(n^2)}
t₁₂: X₅+2 {O(n)}
t₁₃: 1 {O(1)}
Costbounds
Overall costbound: 20⋅X₅⋅X₅⋅X₅⋅X₅+176⋅X₅⋅X₅⋅X₅+580⋅X₅⋅X₅+832⋅X₅+416 {O(n^4)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₅+2 {O(n)}
t₃: 1 {O(1)}
t₄: X₅⋅X₅+3⋅X₅ {O(n^2)}
t₅: X₅+3 {O(n)}
t₆: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+315⋅X₅+174 {O(n^3)}
t₇: X₅⋅X₅+3⋅X₅ {O(n^2)}
t₈: 10⋅X₅⋅X₅⋅X₅⋅X₅+83⋅X₅⋅X₅⋅X₅+260⋅X₅⋅X₅+359⋅X₅+174 {O(n^4)}
t₉: 10⋅X₅⋅X₅⋅X₅+53⋅X₅⋅X₅+86⋅X₅+43 {O(n^3)}
t₁₀: 10⋅X₅⋅X₅⋅X₅⋅X₅+53⋅X₅⋅X₅⋅X₅+86⋅X₅⋅X₅+44⋅X₅ {O(n^4)}
t₁₁: 5⋅X₅⋅X₅+19⋅X₅+14 {O(n^2)}
t₁₂: X₅+2 {O(n)}
t₁₃: 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)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: 1 {O(1)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₂, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+X₀+188 {O(n^3)}
t₂, X₁: X₅+3 {O(n)}
t₂, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+X₂+186 {O(n^3)}
t₂, X₃: 1 {O(1)}
t₂, X₄: X₄+X₅+4 {O(n)}
t₂, X₅: X₅ {O(n)}
t₃, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+X₀+188 {O(n^3)}
t₃, X₁: X₅+4 {O(n)}
t₃, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+X₂+186 {O(n^3)}
t₃, X₃: 5⋅X₅⋅X₅+19⋅X₅+X₃+15 {O(n^2)}
t₃, X₄: 2⋅X₄+X₅+4 {O(n)}
t₃, X₅: 2⋅X₅ {O(n)}
t₄, X₀: 60⋅X₅⋅X₅⋅X₅+348⋅X₅⋅X₅+638⋅X₅+X₀+376 {O(n^3)}
t₄, X₁: X₅+3 {O(n)}
t₄, X₂: 2⋅X₅+6 {O(n)}
t₄, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₄, X₄: X₄+X₅+4 {O(n)}
t₄, X₅: X₅ {O(n)}
t₅, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+188 {O(n^3)}
t₅, X₁: X₅+3 {O(n)}
t₅, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₅, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₅, X₄: X₄+X₅+4 {O(n)}
t₅, X₅: X₅ {O(n)}
t₆, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+317⋅X₅+180 {O(n^3)}
t₆, X₁: X₅+3 {O(n)}
t₆, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₆, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₆, X₄: 1 {O(1)}
t₆, X₅: X₅ {O(n)}
t₇, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+188 {O(n^3)}
t₇, X₁: X₅+3 {O(n)}
t₇, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₇, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₇, X₄: X₄+X₅+4 {O(n)}
t₇, X₅: X₅ {O(n)}
t₈, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+317⋅X₅+180 {O(n^3)}
t₈, X₁: X₅+3 {O(n)}
t₈, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₈, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₈, X₄: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+317⋅X₅+184 {O(n^3)}
t₈, X₅: X₅ {O(n)}
t₉, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+317⋅X₅+180 {O(n^3)}
t₉, X₁: X₅+3 {O(n)}
t₉, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+317⋅X₅+180 {O(n^3)}
t₉, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₉, X₄: X₅+4 {O(n)}
t₉, X₅: X₅ {O(n)}
t₁₀, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+317⋅X₅+180 {O(n^3)}
t₁₀, X₁: X₅+3 {O(n)}
t₁₀, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₁₀, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₁₀, X₄: X₅+4 {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₁, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+188 {O(n^3)}
t₁₁, X₁: X₅+3 {O(n)}
t₁₁, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₁₁, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₁₁, X₄: X₄+X₅+4 {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₂, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+188 {O(n^3)}
t₁₂, X₁: X₅+3 {O(n)}
t₁₂, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+186 {O(n^3)}
t₁₂, X₃: 5⋅X₅⋅X₅+19⋅X₅+15 {O(n^2)}
t₁₂, X₄: X₄+X₅+4 {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₃, X₀: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+X₀+188 {O(n^3)}
t₁₃, X₁: X₅+4 {O(n)}
t₁₃, X₂: 30⋅X₅⋅X₅⋅X₅+174⋅X₅⋅X₅+319⋅X₅+X₂+186 {O(n^3)}
t₁₃, X₃: 5⋅X₅⋅X₅+19⋅X₅+X₃+15 {O(n^2)}
t₁₃, X₄: 2⋅X₄+X₅+4 {O(n)}
t₁₃, X₅: 2⋅X₅ {O(n)}