Initial Problem

Start: eval_t16_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_t16_bb0_in, eval_t16_bb1_in, eval_t16_bb2_in, eval_t16_bb3_in, eval_t16_bb4_in, eval_t16_bb5_in, eval_t16_start, eval_t16_stop
Transitions:
t₂: eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 0 ≤ X₃
t₁: eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₃: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀
t₄: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₅: eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃)
t₇: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0
t₆: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄
t₈: eval_t16_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄-1)
t₉: eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_t16_start(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄)

Preprocessing

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_t16_bb3_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location eval_t16_bb2_in

Found invariant 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_t16_bb4_in

Found invariant 0 ≤ X₃ ∧ X₀ ≤ X₂ for location eval_t16_bb1_in

Problem after Preprocessing

Start: eval_t16_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_t16_bb0_in, eval_t16_bb1_in, eval_t16_bb2_in, eval_t16_bb3_in, eval_t16_bb4_in, eval_t16_bb5_in, eval_t16_start, eval_t16_stop
Transitions:
t₂: eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 0 ≤ X₃
t₁: eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₃: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₄: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₅: eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₇: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₆: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₈: eval_t16_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₉: eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_t16_start(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄)

MPRF for transition t₃: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_t16_bb1_in: [X₀]
• eval_t16_bb2_in: [X₀-1]
• eval_t16_bb3_in: [X₀-1]
• eval_t16_bb4_in: [X₀-1]

MPRF for transition t₅: eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_t16_bb1_in: [X₀]
• eval_t16_bb2_in: [X₀]
• eval_t16_bb3_in: [X₁]
• eval_t16_bb4_in: [X₁]

MPRF for transition t₇: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_t16_bb1_in: [X₀]
• eval_t16_bb2_in: [X₀]
• eval_t16_bb3_in: [X₀]
• eval_t16_bb4_in: [X₀]

TWN: t₈: eval_t16_bb4_in→eval_t16_bb3_in

Show Graph

Termination: true
Formula:

TWN - Lifting for [6: eval_t16_bb3_in->eval_t16_bb4_in; 8: eval_t16_bb4_in->eval_t16_bb3_in] of 2⋅X₀+2⋅X₂+2⋅X₃+8⋅X₄+14 {O(n)}

Cut unsatisfiable transition [t₇: eval_t16_bb3_in→eval_t16_bb1_in; t₅₁: eval_t16_bb3_in→eval_t16_bb1_in]

Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_t16_bb3_in_v1

Found invariant 100 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ 100+X₃ ≤ X₄ ∧ 101 ≤ X₂+X₄ ∧ 100 ≤ X₁+X₄ ∧ 101 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_t16_bb3_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location eval_t16_bb2_in

Found invariant 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_t16_bb4_in_v1

Found invariant 0 ≤ X₃ ∧ X₀ ≤ X₂ for location eval_t16_bb1_in

Analysing control-flow refined program

knowledge_propagation leads to new time bound X₂ {O(n)} for transition t₅₀: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₃+X₄ ∧ 100+X₃ ≤ X₄ ∧ 100 ≤ X₄ ∧ 101 ≤ X₀+X₄ ∧ 101 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃

MPRF for transition t₅₂: eval_t16_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in_v1(X₀, X₁, X₂, X₃, X₄-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

100⋅X₂+2⋅X₃ {O(n)}

• eval_t16_bb1_in: [100⋅X₀+2⋅X₃]
• eval_t16_bb2_in: [100⋅X₀+2⋅X₃]
• eval_t16_bb3_in: [98⋅X₀+2⋅X₁+2⋅X₃+X₄-98]
• eval_t16_bb3_in_v1: [98⋅X₀+2⋅X₁+2⋅X₃+X₄-98]
• eval_t16_bb4_in_v1: [98⋅X₀+2⋅X₁+2⋅X₃+X₄-98]

MPRF for transition t₅₃: eval_t16_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

99⋅X₂+99⋅X₃+98 {O(n)}

• eval_t16_bb1_in: [98+99⋅X₀+99⋅X₃]
• eval_t16_bb2_in: [98+99⋅X₀+99⋅X₃]
• eval_t16_bb3_in: [97⋅X₀+2⋅X₁+99⋅X₃+X₄]
• eval_t16_bb3_in_v1: [98+99⋅X₁+99⋅X₃+X₄]
• eval_t16_bb4_in_v1: [97+99⋅X₁+99⋅X₃+X₄]

MPRF for transition t₅₄: eval_t16_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+X₃ {O(n)}

• eval_t16_bb1_in: [X₀+X₃]
• eval_t16_bb2_in: [X₀+X₃]
• eval_t16_bb3_in: [X₀+X₃]
• eval_t16_bb3_in_v1: [1+X₁+X₃]
• eval_t16_bb4_in_v1: [1+X₁+X₃]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

Start: eval_t16_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_t16_bb0_in, eval_t16_bb1_in, eval_t16_bb2_in, eval_t16_bb3_in, eval_t16_bb3_in_v1, eval_t16_bb4_in_v1, eval_t16_bb5_in, eval_t16_start, eval_t16_stop
Transitions:
t₂: eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 0 ≤ X₃
t₁: eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₃: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₄: eval_t16_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₅: eval_t16_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₅₀: eval_t16_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₃+X₄ ∧ 100+X₃ ≤ X₄ ∧ 100 ≤ X₄ ∧ 101 ≤ X₀+X₄ ∧ 101 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₅₄: eval_t16_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₅₃: eval_t16_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₅₂: eval_t16_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb3_in_v1(X₀, X₁, X₂, X₃, X₄-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₉: eval_t16_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_t16_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_t16_start(X₀, X₁, X₂, X₃, X₄) → eval_t16_bb0_in(X₀, X₁, X₂, X₃, X₄)

All Bounds

Timebounds

Overall timebound:102⋅X₃+203⋅X₂+103 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₂ {O(n)}
t₄: 1 {O(1)}
t₅: X₂ {O(n)}
t₉: 1 {O(1)}
t₅₀: X₂ {O(n)}
t₅₂: 100⋅X₂+2⋅X₃ {O(n)}
t₅₃: 99⋅X₂+99⋅X₃+98 {O(n)}
t₅₄: X₂+X₃ {O(n)}

Costbounds

Overall costbound: 102⋅X₃+203⋅X₂+103 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₂ {O(n)}
t₄: 1 {O(1)}
t₅: X₂ {O(n)}
t₉: 1 {O(1)}
t₅₀: X₂ {O(n)}
t₅₂: 100⋅X₂+2⋅X₃ {O(n)}
t₅₃: 99⋅X₂+99⋅X₃+98 {O(n)}
t₅₄: X₂+X₃ {O(n)}

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)}
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)}
t₂, X₀: X₂ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₃, X₀: X₂ {O(n)}
t₃, X₁: X₁+X₂ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₄, X₀: 2⋅X₂ {O(n)}
t₄, X₁: X₁+X₂ {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₅, X₀: X₂ {O(n)}
t₅, X₁: X₂ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: 2⋅X₃+100 {O(n)}
t₉, X₀: 2⋅X₂+X₀ {O(n)}
t₉, X₁: 2⋅X₁+X₂ {O(n)}
t₉, X₂: 3⋅X₂ {O(n)}
t₉, X₃: 3⋅X₃ {O(n)}
t₉, X₄: 2⋅X₄ {O(n)}
t₅₀, X₀: X₂ {O(n)}
t₅₀, X₁: X₂ {O(n)}
t₅₀, X₂: X₂ {O(n)}
t₅₀, X₃: X₃ {O(n)}
t₅₀, X₄: 2⋅X₃+100 {O(n)}
t₅₂, X₀: X₂ {O(n)}
t₅₂, X₁: X₂ {O(n)}
t₅₂, X₂: X₂ {O(n)}
t₅₂, X₃: X₃ {O(n)}
t₅₂, X₄: 2⋅X₃+100 {O(n)}
t₅₃, X₀: X₂ {O(n)}
t₅₃, X₁: X₂ {O(n)}
t₅₃, X₂: X₂ {O(n)}
t₅₃, X₃: X₃ {O(n)}
t₅₃, X₄: 2⋅X₃+100 {O(n)}
t₅₄, X₀: X₂ {O(n)}
t₅₄, X₁: X₂ {O(n)}
t₅₄, X₂: X₂ {O(n)}
t₅₄, X₃: X₃ {O(n)}
t₅₄, X₄: 0 {O(1)}