artdag: execution stats / cache analytics + 12 tests

stats.sx reports hit-ratio, cost-weighted work-recomputed/work-saved,
savings-ratio, and exec-summary over an execution record. Verifies cold (0
saved), warm (all saved), and incremental (saved = unchanged, ran = dirty
closure). stats 12/12, total 144/144.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

lib/artdag/stats.sx

@@ -0,0 +1,51 @@
+; lib/artdag/stats.sx — observability over an execution: cache hit ratio and the
+; compute work saved by memoization (weighted by the cost model). An exec is the
+; {:results :recomputed :hits} record returned by artdag/execute. Depends on
+; execute.sx (exec accessors) and cost.sx (artdag/-node-cost).
+
+(define
+  artdag/exec-total
+  (fn (exec) (+ (artdag/recompute-count exec) (artdag/hit-count exec))))
+
+; fraction of executed nodes served from cache (0 when nothing ran).
+(define
+  artdag/hit-ratio
+  (fn
+    (exec)
+    (let
+      ((n (artdag/exec-total exec)))
+      (if (= n 0) 0 (/ (artdag/hit-count exec) n)))))
+
+(define
+  artdag/-sum-cost
+  (fn
+    (dag cost-fn ids)
+    (reduce
+      (fn (s id) (+ s (artdag/-node-cost dag cost-fn id)))
+      0
+      ids)))
+
+; weighted compute work that actually ran this execution.
+(define
+  artdag/work-recomputed
+  (fn
+    (exec dag cost-fn)
+    (artdag/-sum-cost dag cost-fn (get exec :recomputed))))
+
+; weighted compute work avoided by cache hits.
+(define
+  artdag/work-saved
+  (fn (exec dag cost-fn) (artdag/-sum-cost dag cost-fn (get exec :hits))))
+
+; fraction of total weighted work that the cache saved (0 when no work at all).
+(define
+  artdag/savings-ratio
+  (fn
+    (exec dag cost-fn)
+    (let
+      ((saved (artdag/work-saved exec dag cost-fn))
+        (ran (artdag/work-recomputed exec dag cost-fn)))
+      (if (= (+ saved ran) 0) 0 (/ saved (+ saved ran))))))
+
+; compact summary dict for logging.
+(define artdag/exec-summary (fn (exec dag cost-fn) {:work-saved (artdag/work-saved exec dag cost-fn) :recomputed (artdag/recompute-count exec) :total (artdag/exec-total exec) :work-ran (artdag/work-recomputed exec dag cost-fn) :hits (artdag/hit-count exec)}))