diff --git a/Apps/Scene3D/main.vp b/Apps/Scene3D/main.vp
index 24e9a6c..f1146f1 100644
--- a/Apps/Scene3D/main.vp
+++ b/Apps/Scene3D/main.vp
@@ -25,6 +25,26 @@ _time_val: float = float(0.0)
 # （x 变大后相邻采样点的相位差被量化 ⇒ 曲线塌成一条平线、热力图颜色失去层次）。
 define TIME_WRAP = float(12.566370614359172)
 
+# [临时探针] 每帧打印 time 与两个 sinf 采样值的位模式：
+# 正常时 a/b 随 time 变化且互不相同；"曲线变平"时应能看到 a==b（相位被量化）或三者一起冻结。定位后删除。
+_tk_hex: t.CArray[char, 17] = "0123456789ABCDEF"
+
+def _dbg_puts(s: const str):
+    syscall._syscall1(uint64(syscall.SERIAL_PUTS), uint64(s))
+
+def _dbg_hex32(slot: char, val: uint32):
+    buf: t.CArray[char, 12]
+    buf[0] = slot
+    buf[1] = '='
+    i: int = 7
+    while i >= 0:
+        buf[2 + i] = _tk_hex[int(val & uint32(0xF))]
+        val = val >> 4
+        i -= 1
+    buf[10] = ' '
+    buf[11] = 0
+    _dbg_puts(&buf[0])
+
 def _render_thread(arg: t.CPtr):
     global _time_val
     root: vpui.Tk* = _root_ptr
@@ -36,6 +56,15 @@ def _render_thread(arg: t.CPtr):
         if _time_val >= TIME_WRAP: _time_val = _time_val - TIME_WRAP
         root.update()
         process.yield_cpu()
+        # [临时探针] 每帧打印：time / sinf(0.5-ws) / sinf(3.0-ws) 的位模式（定位后删除）
+        ws: float = _time_val * float(2.0)
+        sa: float = math.sinf(float(0.5) - ws)
+        sb: float = math.sinf(float(3.0) - ws)
+        _dbg_puts("[s3d] ")
+        _dbg_hex32('t', *(uint32*(&_time_val)))
+        _dbg_hex32('a', *(uint32*(&sa)))
+        _dbg_hex32('b', *(uint32*(&sb)))
+        _dbg_puts("\n")
 
 @c.Attribute(t.attr.section(".text.startup"), t.attr.aligned(16))
 def _start() -> int | t.CExport: