Initial Problem

Start: eval_non_linear01_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_non_linear01_bb0_in, eval_non_linear01_bb1_in, eval_non_linear01_bb2_in, eval_non_linear01_bb3_in, eval_non_linear01_start, eval_non_linear01_stop
Transitions:
t₁: eval_non_linear01_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb1_in(X₅, X₆, X₂, X₃, X₄, X₅, X₆)
t₂: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ 0 ∧ 1+(X₀)² ≤ X₁+(X₄)⁵
t₃: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+(X₀)² ≤ X₁+(X₄)⁵
t₄: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁+(X₄)⁵ ≤ (X₀)²
t₅: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₆: eval_non_linear01_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb1_in(-2⋅X₀, 3⋅X₁+(X₄)², X₂, X₃, X₄, X₅, X₆)
t₇: eval_non_linear01_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_non_linear01_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear01_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Eliminate variables [X₂; X₃] that do not contribute to the problem

Problem after Preprocessing

Start: eval_non_linear01_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_non_linear01_bb0_in, eval_non_linear01_bb1_in, eval_non_linear01_bb2_in, eval_non_linear01_bb3_in, eval_non_linear01_start, eval_non_linear01_stop
Transitions:
t₁₅: eval_non_linear01_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb1_in(X₃, X₄, X₂, X₃, X₄)
t₁₆: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ 1+(X₀)² ≤ X₁+(X₂)⁵
t₁₇: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ 1+(X₀)² ≤ X₁+(X₂)⁵
t₁₈: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₁+(X₂)⁵ ≤ (X₀)²
t₁₉: eval_non_linear01_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₂₀: eval_non_linear01_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb1_in(-2⋅X₀, 3⋅X₁+(X₂)², X₂, X₃, X₄)
t₂₁: eval_non_linear01_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_stop(X₀, X₁, X₂, X₃, X₄)
t₂₂: eval_non_linear01_start(X₀, X₁, X₂, X₃, X₄) → eval_non_linear01_bb0_in(X₀, X₁, X₂, X₃, X₄)

Found invariant X₃ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_non_linear01_bb2_in_v1

Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location eval_non_linear01_bb1_in

Found invariant 2+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 2 ≤ X₀ for location eval_non_linear01_bb1_in_v1

Found invariant 1+X₀+X₃ ≤ 0 ∧ X₀ ≤ X₃ ∧ 1+X₀ ≤ 0 for location eval_non_linear01_bb2_in_v2

Found invariant 1+X₀+X₃ ≤ 0 ∧ 2+X₀ ≤ X₃ ∧ 2+X₀ ≤ 0 for location eval_non_linear01_bb1_in_v2

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₇: inf {Infinity}
t₁₈: 1 {O(1)}
t₁₉: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₁: 1 {O(1)}
t₂₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₇: inf {Infinity}
t₁₈: 1 {O(1)}
t₁₉: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₁: 1 {O(1)}
t₂₂: 1 {O(1)}

Sizebounds

t₁₅, X₀: X₃ {O(n)}
t₁₅, X₁: X₄ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₇, X₂: X₂ {O(n)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₈, X₂: 2⋅X₂ {O(n)}
t₁₈, X₃: 2⋅X₃ {O(n)}
t₁₈, X₄: 2⋅X₄ {O(n)}
t₁₉, X₀: 0 {O(1)}
t₁₉, X₂: 2⋅X₂ {O(n)}
t₁₉, X₃: 2⋅X₃ {O(n)}
t₁₉, X₄: 2⋅X₄ {O(n)}
t₂₀, X₂: X₂ {O(n)}
t₂₀, X₃: X₃ {O(n)}
t₂₀, X₄: X₄ {O(n)}
t₂₁, X₂: 4⋅X₂ {O(n)}
t₂₁, X₃: 4⋅X₃ {O(n)}
t₂₁, X₄: 4⋅X₄ {O(n)}
t₂₂, X₀: X₀ {O(n)}
t₂₂, X₁: X₁ {O(n)}
t₂₂, X₂: X₂ {O(n)}
t₂₂, X₃: X₃ {O(n)}
t₂₂, X₄: X₄ {O(n)}