Productions:
  0 $start: expression $end
  1 expression: NUMBER                    { |a| a[1]        }
  2 expression: expression "^" expression { |a, _, b| a** b }
  3 expression: expression "+" expression { |a, _, b| a + b }
  4 expression: expression "-" expression { |a, _, b| a - b }
  5 expression: expression "*" expression { |a, _, b| a * b }
  6 expression: expression "/" expression { |a, _, b| a / b }
  7 expression: "(" expression ")"        { |_, a, _| a     }
  8 expression: "(" $error ")"            { |_, e, _| e[1]  }


Precedence:
  --- highest
  right    4:
    {EXPONENTIATE}
  left     3:
    {MULTIPLY, DIVIDE}
  left     2:
    {ADD, SUBTRACT}
  nonassoc 1:
    {_}
  nonassoc 0:
    {$end}
  --- lowest


  State 0:
    0/n0: $start →  • expression $end
      {}
    1/n1: expression →  • NUMBER
      {}
    2/r4: expression →  • expression "^" expression
      {}
    3/l2: expression →  • expression "+" expression
      {}
    4/l2: expression →  • expression "-" expression
      {}
    5/l3: expression →  • expression "*" expression
      {}
    6/l3: expression →  • expression "/" expression
      {}
    7/n1: expression →  • "(" expression ")"
      {}
    8/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 1
      NUMBER: State 2
      "(": State 3

  State 1:
    9/n0: $start → expression • $end
      {}
    10/r4: expression → expression • "^" expression
      {}
    11/l2: expression → expression • "+" expression
      {}
    12/l2: expression → expression • "-" expression
      {}
    13/l3: expression → expression • "*" expression
      {}
    14/l3: expression → expression • "/" expression
      {}
    transitions:
      $end: State 4
      "^": State 5
      "+": State 6
      "-": State 7
      "*": State 8
      "/": State 9

  State 2:
    15/n1: expression → NUMBER •
      {$end, "^", "+", "-", "*", "/", ")"}
    reductions:
      $default: Rule 1

  State 3:
    16/n1: expression → "(" • expression ")"
      {}
    17/n1: expression → "(" • $error ")"
      {}
    18/n1: expression →  • NUMBER
      {}
    19/r4: expression →  • expression "^" expression
      {}
    20/l2: expression →  • expression "+" expression
      {}
    21/l2: expression →  • expression "-" expression
      {}
    22/l3: expression →  • expression "*" expression
      {}
    23/l3: expression →  • expression "/" expression
      {}
    24/n1: expression →  • "(" expression ")"
      {}
    25/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 10
      $error: State 11
      NUMBER: State 2
      "(": State 3

  State 4:
    26/n0: $start → expression $end •
      {}
    accepting:
      $end: Rule 0

  State 5:
    27/r4: expression → expression "^" • expression
      {}
    28/n1: expression →  • NUMBER
      {}
    29/r4: expression →  • expression "^" expression
      {}
    30/l2: expression →  • expression "+" expression
      {}
    31/l2: expression →  • expression "-" expression
      {}
    32/l3: expression →  • expression "*" expression
      {}
    33/l3: expression →  • expression "/" expression
      {}
    34/n1: expression →  • "(" expression ")"
      {}
    35/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 12
      NUMBER: State 2
      "(": State 3

  State 6:
    36/l2: expression → expression "+" • expression
      {}
    37/n1: expression →  • NUMBER
      {}
    38/r4: expression →  • expression "^" expression
      {}
    39/l2: expression →  • expression "+" expression
      {}
    40/l2: expression →  • expression "-" expression
      {}
    41/l3: expression →  • expression "*" expression
      {}
    42/l3: expression →  • expression "/" expression
      {}
    43/n1: expression →  • "(" expression ")"
      {}
    44/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 13
      NUMBER: State 2
      "(": State 3

  State 7:
    45/l2: expression → expression "-" • expression
      {}
    46/n1: expression →  • NUMBER
      {}
    47/r4: expression →  • expression "^" expression
      {}
    48/l2: expression →  • expression "+" expression
      {}
    49/l2: expression →  • expression "-" expression
      {}
    50/l3: expression →  • expression "*" expression
      {}
    51/l3: expression →  • expression "/" expression
      {}
    52/n1: expression →  • "(" expression ")"
      {}
    53/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 14
      NUMBER: State 2
      "(": State 3

  State 8:
    54/l3: expression → expression "*" • expression
      {}
    55/n1: expression →  • NUMBER
      {}
    56/r4: expression →  • expression "^" expression
      {}
    57/l2: expression →  • expression "+" expression
      {}
    58/l2: expression →  • expression "-" expression
      {}
    59/l3: expression →  • expression "*" expression
      {}
    60/l3: expression →  • expression "/" expression
      {}
    61/n1: expression →  • "(" expression ")"
      {}
    62/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 15
      NUMBER: State 2
      "(": State 3

  State 9:
    63/l3: expression → expression "/" • expression
      {}
    64/n1: expression →  • NUMBER
      {}
    65/r4: expression →  • expression "^" expression
      {}
    66/l2: expression →  • expression "+" expression
      {}
    67/l2: expression →  • expression "-" expression
      {}
    68/l3: expression →  • expression "*" expression
      {}
    69/l3: expression →  • expression "/" expression
      {}
    70/n1: expression →  • "(" expression ")"
      {}
    71/n1: expression →  • "(" $error ")"
      {}
    transitions:
      expression: State 16
      NUMBER: State 2
      "(": State 3

  State 10:
    72/n1: expression → "(" expression • ")"
      {}
    73/r4: expression → expression • "^" expression
      {}
    74/l2: expression → expression • "+" expression
      {}
    75/l2: expression → expression • "-" expression
      {}
    76/l3: expression → expression • "*" expression
      {}
    77/l3: expression → expression • "/" expression
      {}
    transitions:
      ")": State 17
      "^": State 5
      "+": State 6
      "-": State 7
      "*": State 8
      "/": State 9

  State 11:
    78/n1: expression → "(" $error • ")"
      {}
    transitions:
      ")": State 18

  State 12:
    79/r4: expression → expression "^" expression •
      {$end, "^", "+", "-", "*", "/", ")"}
    80/r4: expression → expression • "^" expression
      {}
    81/l2: expression → expression • "+" expression
      {}
    82/l2: expression → expression • "-" expression
      {}
    83/l3: expression → expression • "*" expression
      {}
    84/l3: expression → expression • "/" expression
      {}
    transitions:
      "^": State 5
    reductions:
      "+": Rule 2
      "-": Rule 2
      "*": Rule 2
      "/": Rule 2
      $end: Rule 2
      ")": Rule 2

  State 13:
    85/l2: expression → expression "+" expression •
      {$end, "^", "+", "-", "*", "/", ")"}
    86/r4: expression → expression • "^" expression
      {}
    87/l2: expression → expression • "+" expression
      {}
    88/l2: expression → expression • "-" expression
      {}
    89/l3: expression → expression • "*" expression
      {}
    90/l3: expression → expression • "/" expression
      {}
    transitions:
      "^": State 5
      "*": State 8
      "/": State 9
    reductions:
      "+": Rule 3
      "-": Rule 3
      $end: Rule 3
      ")": Rule 3

  State 14:
    91/l2: expression → expression "-" expression •
      {$end, "^", "+", "-", "*", "/", ")"}
    92/r4: expression → expression • "^" expression
      {}
    93/l2: expression → expression • "+" expression
      {}
    94/l2: expression → expression • "-" expression
      {}
    95/l3: expression → expression • "*" expression
      {}
    96/l3: expression → expression • "/" expression
      {}
    transitions:
      "^": State 5
      "*": State 8
      "/": State 9
    reductions:
      "+": Rule 4
      "-": Rule 4
      $end: Rule 4
      ")": Rule 4

  State 15:
    97/l3: expression → expression "*" expression •
      {$end, "^", "+", "-", "*", "/", ")"}
    98/r4: expression → expression • "^" expression
      {}
    99/l2: expression → expression • "+" expression
      {}
    100/l2: expression → expression • "-" expression
      {}
    101/l3: expression → expression • "*" expression
      {}
    102/l3: expression → expression • "/" expression
      {}
    transitions:
      "^": State 5
    reductions:
      "+": Rule 5
      "-": Rule 5
      "*": Rule 5
      "/": Rule 5
      $end: Rule 5
      ")": Rule 5

  State 16:
    103/l3: expression → expression "/" expression •
      {$end, "^", "+", "-", "*", "/", ")"}
    104/r4: expression → expression • "^" expression
      {}
    105/l2: expression → expression • "+" expression
      {}
    106/l2: expression → expression • "-" expression
      {}
    107/l3: expression → expression • "*" expression
      {}
    108/l3: expression → expression • "/" expression
      {}
    transitions:
      "^": State 5
    reductions:
      "+": Rule 6
      "-": Rule 6
      "*": Rule 6
      "/": Rule 6
      $end: Rule 6
      ")": Rule 6

  State 17:
    109/n1: expression → "(" expression ")" •
      {$end, "^", "+", "-", "*", "/", ")"}
    reductions:
      $default: Rule 7

  State 18:
    110/n1: expression → "(" $error ")" •
      {$end, "^", "+", "-", "*", "/", ")"}
    reductions:
      $default: Rule 8