Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(17⋅X₀) :|: 0 < X₀ ∧ X₀ < 42

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(17⋅X₀) :|: 0 < X₀ ∧ X₀ < 42

Time-Bound by TWN-Loops:

TWN-Loops: t₁ 89 {O(1)}

TWN-Loops:

entry: t₀: l0(X₀) → l1(X₀)
results in twn-loop: twn: (X₀) -> (17⋅X₀) :|: 0 < X₀ ∧ X₀ < 42
order: [X₀]
closed-form:
X₀: X₀ * 17^n

Termination: true
Formula:

X₀ < 0 ∧ 0 < X₀
∨ 0 < 42 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 < X₀

Stabilization-Threshold for: X₀ < 42
alphas_abs: 42
M: 0
N: 1
Bound: 86 {O(1)}

relevant size-bounds w.r.t. t₀:
Runtime-bound of t₀: 1 {O(1)}
Results in: 89 {O(1)}

89 {O(1)}

All Bounds

Timebounds

Overall timebound:90 {O(1)}
t₀: 1 {O(1)}
t₁: 89 {O(1)}

Costbounds

Overall costbound: 90 {O(1)}
t₀: 1 {O(1)}
t₁: 89 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₁, X₀: 697 {O(1)}