simplify factorial

factorial.s

@@ -2,14 +2,11 @@
 .global _start
 
 # factorial
-# - rdi as input number
+# - rdi (n) as input number
-# - rax as result
+# - rax (r) as result
 factorial:
-    push rbp
+    cmp rdi, 1         # compare n to 1
-    mov rbp, rsp
+    jle done           # if n <= 1 return (r = 1)
-
-    cmp rdi, 1
-    jle base_case      # if n <= 1 return 1
 
     push rdi           # save n
     dec rdi            # rdi = n - 1
@@ -23,10 +20,11 @@ base_case:
     mov rax, 1
 
 done:
-    mov rsp, rbp
-    pop rbp
     ret
 
+# prints number as decimal
+# from rax register
+# just to demo, don't explain
 print_rax_digit:
     sub rsp, 16