Skill Distiller

Fit more skills in your context window — compress without losing what matters.

Compress verbose skills to reduce context window usage. This skill is self-compressed using formula notation (~400 tokens, ~90% functionality, LLM-estimated). Full reference version: SKILL.reference.md.

Note: This skill uses formula notation — the LLM executes these operations directly. You don't need to understand the math. For prose explanation, see SKILL.reference.md.

Legend

S = {TRIGGER, CORE, CONSTRAINT, OUTPUT, EXAMPLE, EDGE, EXPLAIN, VERBOSE}
I(s) ∈ [0,1]        # importance score
P = {yaml.name, yaml.desc, N-count, task-create, checkpoint, BEFORE/AFTER}  # protected
θ ∈ [0,1]           # threshold (default 0.9)
n ∈ ℕ               # target tokens

Operations

compress(skill, θ)

∀s ∈ skill: type(s) → S, score(s) → I(s)
s ∈ P ⇒ I(s) := max(I(s), 0.85)
keep = {s | I(s) ≥ θ ∨ s ∈ P}
output = (skill[keep], Σ I(keep)/|S|, |skill| - |keep|)
# Score divides by |S| (8 types), not |keep| — rewards diverse section coverage

compress_tokens(skill, n)

min_tokens = |{s | type(s) ∈ {TRIGGER, CORE}}|
n < min_tokens ⇒ summarize(skill) → n
n ≥ min_tokens ⇒ compress(skill, θ) where |output| ≤ n

oneliner(skill)

output = "TRIGGER: " + extract(skill, TRIGGER) +
         "\nACTION: " + extract(skill, CORE) +
         "\nRESULT: " + extract(skill, OUTPUT)

recomp(examples, coverage_target=0.8)

scored = [(e, pattern_coverage(e), uniqueness(e)) | e ∈ examples]
selected = top(scored, n=2, by=coverage × uniqueness)
coverage(selected) ≥ 0.8 ⇒ phase1
  output = selected ∪ {trigger(e) → result(e) | e ∈ examples \ selected}
coverage(selected) < 0.8 ⇒ phase2
  output = synthesize(examples) → single_example

token_score(section) — for type ∈ {EXAMPLE, EDGE, EXPLAIN, VERBOSE}

∀phrase ∈ section:
  self_info(phrase) = -log(P(phrase|context))
  high_info ⇒ KEEP, low_info ⇒ PRUNE
prune while preserving sentence structure
>50% low_info ⇒ remove entire section

Symbols (MetaGlyph)

Symbol	Meaning
→	results in, maps to
⇒	implies, therefore
∈	element of, in
∀	for all
¬	not
∧	and
∨	or
:=	assign

Invocation

/skill-distiller path --threshold=0.9  →  compress(skill, 0.9)
/skill-distiller path --tokens=500     →  compress_tokens(skill, 500)
/skill-distiller path --mode=oneliner  →  oneliner(skill)

Errors

Condition	Response
skill = ∅	"No content"
¬∃ yaml.name	"Add frontmatter"
n < min_tokens	"Summarizing..."

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Variants

Variant	Tokens	Functionality
main (this)	~400	~90% (formula)
compressed	~975	~90% (prose)
oneliner	~100	~70%

Full reference: SKILL.reference.md (~2,500 tokens, ~90%)

Token counts use 4 chars/token heuristic (+/-20%). Functionality scores are LLM-estimated.