transcendental
Exponential · exp(x)
The exponential function, the simplest function to build in EML. A single node does it.
depth 1
Domain: x ∈ ℝDefinition
Formula
eml(x, 1)Evaluate
2.71828183at x = 1
Reference: e1p(x) ≈ 2.71828183
EML tree
Click a node to highlight it. Each node shows its computed value below the label.
Step-through evaluation
- 1.depth 1x = 1
- 2.depth 1const 1
- 3.depth 0exp(1) − ln(1) = 2.718282
Derivation
- 1.Start from the definition: eml(x, y) = exp(x) − ln(y).
- 2.Plug in y = 1: eml(x, 1) = exp(x) − ln(1).
- 3.Since ln(1) = 0: eml(x, 1) = exp(x).
- 4.Depth 1, this is the shallowest non-trivial EML tree.