diff --git a/lib/lua/runtime.sx b/lib/lua/runtime.sx
index ecf8bac5..3f4fa4be 100644
--- a/lib/lua/runtime.sx
+++ b/lib/lua/runtime.sx
@@ -1336,6 +1336,9 @@
 (define lua-math-atan (fn (x) (atan (lua-math-num "atan" x))))
 (define lua-math-atan2 (fn (y x) (atan2 (lua-math-num "atan2" y) (lua-math-num "atan2" x))))
 (define lua-math-pow (fn (a b) (pow (lua-math-num "pow" a) (lua-math-num "pow" b))))
+(define lua-math-sinh (fn (x) (sinh (lua-math-num "sinh" x))))
+(define lua-math-cosh (fn (x) (cosh (lua-math-num "cosh" x))))
+(define lua-math-tanh (fn (x) (tanh (lua-math-num "tanh" x))))
 
 (define lua-math-log
   (fn (&rest args)
@@ -1421,6 +1424,9 @@
 (dict-set! math "acos" lua-math-acos)
 (dict-set! math "atan" lua-math-atan)
 (dict-set! math "atan2" lua-math-atan2)
+(dict-set! math "sinh" lua-math-sinh)
+(dict-set! math "cosh" lua-math-cosh)
+(dict-set! math "tanh" lua-math-tanh)
 (dict-set! math "deg" lua-math-deg)
 (dict-set! math "rad" lua-math-rad)
 (dict-set! math "min" lua-math-min)
diff --git a/lib/lua/scoreboard.json b/lib/lua/scoreboard.json
index cfaf345a..0946325e 100644
--- a/lib/lua/scoreboard.json
+++ b/lib/lua/scoreboard.json
@@ -1,8 +1,8 @@
 {
   "totals": {
     "pass": 1,
-    "fail": 11,
-    "timeout": 4,
+    "fail": 12,
+    "timeout": 3,
     "skip": 8,
     "total": 24,
     "runnable": 16,
@@ -11,11 +11,11 @@
   "top_failure_modes": [
     [
       "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      6
+      7
     ],
     [
       "timeout",
-      4
+      3
     ],
     [
       "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"lua: attempt to call non-functio",
@@ -51,7 +51,7 @@
       "name": "attrib.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"lua: module 'C' not found\\\\\\\"\\",
-      "ms": 6537
+      "ms": 6636
     },
     {
       "name": "big.lua",
@@ -63,7 +63,7 @@
       "name": "calls.lua",
       "status": "fail",
       "reason": "undefined symbol: fat\\",
-      "ms": 4965
+      "ms": 5129
     },
     {
       "name": "checktable.lua",
@@ -75,7 +75,7 @@
       "name": "closure.lua",
       "status": "timeout",
       "reason": "per-test timeout",
-      "ms": 8003
+      "ms": 8001
     },
     {
       "name": "code.lua",
@@ -87,7 +87,7 @@
       "name": "constructs.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"lua: attempt to compare incompat",
-      "ms": 7725
+      "ms": 6962
     },
     {
       "name": "db.lua",
@@ -99,13 +99,13 @@
       "name": "errors.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      "ms": 4342
+      "ms": 3442
     },
     {
       "name": "events.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      "ms": 7779
+      "ms": 7474
     },
     {
       "name": "files.lua",
@@ -123,13 +123,13 @@
       "name": "literals.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      "ms": 1857
+      "ms": 1965
     },
     {
       "name": "locals.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"lua: attempt to call non-functio",
-      "ms": 1856
+      "ms": 1784
     },
     {
       "name": "main.lua",
@@ -141,43 +141,43 @@
       "name": "math.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"lua: attempt to call non-functio",
-      "ms": 5615
+      "ms": 4413
     },
     {
       "name": "nextvar.lua",
-      "status": "timeout",
-      "reason": "per-test timeout",
-      "ms": 8007
+      "status": "fail",
+      "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
+      "ms": 7389
     },
     {
       "name": "pm.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      "ms": 6139
+      "ms": 6252
     },
     {
       "name": "sort.lua",
       "status": "timeout",
       "reason": "per-test timeout",
-      "ms": 8003
+      "ms": 8004
     },
     {
       "name": "strings.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      "ms": 4505
+      "ms": 4236
     },
     {
       "name": "vararg.lua",
       "status": "fail",
       "reason": "other: Unhandled exception: \\\"Unhandled exception: \\\\\\\"assertion failed!\\\\\\\"\\",
-      "ms": 3031
+      "ms": 2348
     },
     {
       "name": "verybig.lua",
       "status": "pass",
       "reason": "",
-      "ms": 1213
+      "ms": 1074
     }
   ]
 }
\ No newline at end of file
diff --git a/lib/lua/scoreboard.md b/lib/lua/scoreboard.md
index da53eb8f..2fc7cca1 100644
--- a/lib/lua/scoreboard.md
+++ b/lib/lua/scoreboard.md
@@ -1,12 +1,12 @@
 # Lua-on-SX conformance scoreboard
 
 **Pass rate:** 1/16 runnable (6.2%)
-fail=11 timeout=4 skip=8 total=24
+fail=12 timeout=3 skip=8 total=24
 
 ## Top failure modes
 
-- **6x** other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\
-- **4x** timeout
+- **7x** other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\
+- **3x** timeout
 - **2x** other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to call non-functio
 - **1x** other: Unhandled exception: \"Unhandled exception: \\\"lua: module 'C' not found\\\"\
 - **1x** undefined symbol: fat\
@@ -18,25 +18,25 @@ fail=11 timeout=4 skip=8 total=24
 |---|---|---|---:|
 | all.lua | skip | driver uses dofile to chain other tests | 0 |
 | api.lua | skip | requires testC (C debug library) | 0 |
-| attrib.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: module 'C' not found\\\"\ | 6537 |
+| attrib.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: module 'C' not found\\\"\ | 6636 |
 | big.lua | timeout | per-test timeout | 8008 |
-| calls.lua | fail | undefined symbol: fat\ | 4965 |
+| calls.lua | fail | undefined symbol: fat\ | 5129 |
 | checktable.lua | skip | internal debug helpers | 0 |
-| closure.lua | timeout | per-test timeout | 8003 |
+| closure.lua | timeout | per-test timeout | 8001 |
 | code.lua | skip | bytecode inspection via debug library | 0 |
-| constructs.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to compare incompat | 7725 |
+| constructs.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to compare incompat | 6962 |
 | db.lua | skip | debug library | 0 |
-| errors.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 4342 |
-| events.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 7779 |
+| errors.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 3442 |
+| events.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 7474 |
 | files.lua | skip | io library | 0 |
 | gc.lua | skip | collectgarbage / finalisers | 0 |
-| literals.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 1857 |
-| locals.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to call non-functio | 1856 |
+| literals.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 1965 |
+| locals.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to call non-functio | 1784 |
 | main.lua | skip | standalone interpreter driver | 0 |
-| math.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to call non-functio | 5615 |
-| nextvar.lua | timeout | per-test timeout | 8007 |
-| pm.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 6139 |
-| sort.lua | timeout | per-test timeout | 8003 |
-| strings.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 4505 |
-| vararg.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 3031 |
-| verybig.lua | pass | - | 1213 |
+| math.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"lua: attempt to call non-functio | 4413 |
+| nextvar.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 7389 |
+| pm.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 6252 |
+| sort.lua | timeout | per-test timeout | 8004 |
+| strings.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 4236 |
+| vararg.lua | fail | other: Unhandled exception: \"Unhandled exception: \\\"assertion failed!\\\"\ | 2348 |
+| verybig.lua | pass | - | 1074 |
diff --git a/plans/lua-on-sx.md b/plans/lua-on-sx.md
index 9607c63a..42fbad15 100644
--- a/plans/lua-on-sx.md
+++ b/plans/lua-on-sx.md
@@ -82,6 +82,7 @@ Each item: implement → tests → tick box → update progress log.
 
 _Newest first. Agent appends on every commit._
 
+- 2026-04-25: lua: scoreboard iteration — `math.sinh`/`cosh`/`tanh` (Lua 5.1 hyperbolic). 393/393 green; scoreboard unchanged.
 - 2026-04-25: lua: scoreboard iteration — tried two-phase eval (extract top-level `function f` decls, evaluate them BEFORE the guard so they leak to top-level env, then run the rest inside guard). Broke method-decl tests because `function a:add(...)` requires `a` to exist, and `a = {...}` was in the deferred phase-2. Reverted. Real fix needs `_G` table or AST-level rewriting of top-level returns into chunk-result mutations. 393/393 green.
 - 2026-04-25: lua: scoreboard iteration — `string.dump` stub (returns string-of-fn). Diagnosed calls.lua: file ENDS with `return deep` (line 295), which makes my `lua-has-top-return?` correctly return true, triggering the guard, which scopes user defines and breaks loadstring's lexical capture of `fat`. The fix would require either rewriting top-level returns into a different mechanism (post-processing the AST) or implementing a real `_G` global table for global assignment/lookup. Both larger.
 - 2026-04-25: lua: scoreboard iteration — `math.mod` (Lua 5.0 alias for `fmod`), `math.frexp` (mantissa/exponent split), `math.ldexp` (m·2^e). math.lua moves past line-103 `math.mod` call. Timeouts 6→3, asserts 5→7. 393/393 green.