Depth Ladder
The EML depth hierarchy: five strata of what a single binary operator can build. Click a rung to explore what lives there, what's new, and what still blocks you.
Arithmetic
polynomials, rationals — no ceml nodes
What lives here
x + yleafaddition is a leaf3x² + 5x − 2polynomial leafevery polynomial lives here(x + 1) / (x − 1)rational leafrationals: still depth 0
What's new at this depth
The base. Everything built from +, −, ×, ÷ without limits.
What still blocks you
No exp. No ln. No irrational powers. No oscillation.
To climb further
Add one ceml node to reach depth 1.
Each rung is strictly larger than the one below. Every elementary real function has a finite depth. Everything else lives at depth ∞.