Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(X₀-2⋅X₁, 1+X₁) :|: 1 ≤ X₀

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(X₀-2⋅X₁, 1+X₁) :|: 1 ≤ X₀

MPRF for transition t₁: l1(X₀, X₁) → l1(X₀-2⋅X₁, 1+X₁) :|: 1 ≤ X₀ of depth 2:

new bound:

16⋅X₁+8⋅X₀+9 {O(n)}

• l1: [1-2⋅X₁; X₀]

All Bounds

Timebounds

Overall timebound:16⋅X₁+8⋅X₀+10 {O(n)}
t₀: 1 {O(1)}
t₁: 16⋅X₁+8⋅X₀+9 {O(n)}

Costbounds

Overall costbound: 16⋅X₁+8⋅X₀+10 {O(n)}
t₀: 1 {O(1)}
t₁: 16⋅X₁+8⋅X₀+9 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₁, X₀: 139264⋅2^(16⋅X₁)⋅2^(8⋅X₀)⋅X₀⋅X₁+147456⋅2^(16⋅X₁)⋅2^(8⋅X₀)⋅X₁⋅X₁+165888⋅2^(16⋅X₁)⋅2^(8⋅X₀)⋅X₁+2^(16⋅X₁)⋅2^(8⋅X₀)⋅32768⋅X₀⋅X₀+2^(16⋅X₁)⋅2^(8⋅X₀)⋅46080+2^(16⋅X₁)⋅2^(8⋅X₀)⋅78336⋅X₀ {O(EXP)}
t₁, X₁: 17⋅X₁+8⋅X₀+9 {O(n)}