21.927 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.062 * * * [progress]: [2/2] Setting up program.
0.066 * [progress]: [Phase 2 of 3] Improving.
0.066 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.066 * * [simplify]: Extracting # 0 : cost  0
0.066 * * [simplify]: Extracting # 1 : cost  0
0.067 * * [simplify]: Extracting # 2 : cost  0
0.067 * * [simplify]: Extracting # 3 : cost  0
0.067 * * [simplify]: Extracting # 4 : cost  0
0.067 * * [simplify]: Extracting # 5 : cost  0
0.067 * * [simplify]: iteration  0 :  6  enodes  (cost  7 )
0.068 * * [simplify]: Extracting # 0 : cost  0
0.068 * * [simplify]: Extracting # 1 : cost  0
0.068 * * [simplify]: Extracting # 2 : cost  0
0.068 * * [simplify]: iteration  1 :  9  enodes  (cost  7 )
0.071 * * [simplify]: Extracting # 0 : cost  0
0.071 * * [simplify]: iteration  2 :  10  enodes  (cost  7 )
0.073 * * [simplify]: Extracting # 0 : cost  0
0.073 * * [simplify]: iteration done:  10  enodes  (cost  7 )
0.073 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
0.074 * * [progress]: iteration 1 / 4
0.074 * * * [progress]: picking best candidate
0.077 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.077 * * * [progress]: localizing error
0.106 * * * [progress]: generating rewritten candidates
0.106 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.114 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.116 * * * [progress]: generating series expansions
0.116 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.116 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.116 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.116 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.116 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.117 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.117 * [taylor]: Taking taylor expansion of (atan N) in N
0.117 * [backup-simplify]: Simplify (atan N) into (atan N)
0.117 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.117 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.117 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.117 * [taylor]: Taking taylor expansion of (atan N) in N
0.117 * [backup-simplify]: Simplify (atan N) into (atan N)
0.117 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.117 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.118 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.122 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.122 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.122 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.122 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.122 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.122 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.122 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.122 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.122 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.122 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.122 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.122 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.122 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.123 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.123 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.126 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.126 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.126 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.126 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.126 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.126 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.127 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.127 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.127 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.127 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.127 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.127 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.127 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.127 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.127 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.133 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.133 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.133 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.133 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.133 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.133 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.133 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.133 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.134 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.135 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.135 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.135 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.135 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.135 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.135 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.135 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.136 * * * [progress]: simplifying candidates
0.137 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.138 * * [simplify]: Extracting # 0 : cost  0
0.138 * * [simplify]: Extracting # 1 : cost  0
0.138 * * [simplify]: Extracting # 2 : cost  0
0.138 * * [simplify]: Extracting # 3 : cost  0
0.138 * * [simplify]: Extracting # 4 : cost  0
0.138 * * [simplify]: Extracting # 5 : cost  0
0.138 * * [simplify]: Extracting # 6 : cost  0
0.139 * * [simplify]: iteration  0 :  40  enodes  (cost  271 )
0.154 * * [simplify]: Extracting # 0 : cost  0
0.154 * * [simplify]: Extracting # 1 : cost  0
0.154 * * [simplify]: Extracting # 2 : cost  0
0.154 * * [simplify]: Extracting # 3 : cost  0
0.155 * * [simplify]: Extracting # 4 : cost  0
0.155 * * [simplify]: iteration  1 :  76  enodes  (cost  259 )
0.183 * * [simplify]: Extracting # 0 : cost  0
0.184 * * [simplify]: Extracting # 1 : cost  0
0.184 * * [simplify]: Extracting # 2 : cost  0
0.184 * * [simplify]: Extracting # 3 : cost  0
0.185 * * [simplify]: iteration  2 :  145  enodes  (cost  245 )
0.256 * * [simplify]: Extracting # 0 : cost  0
0.256 * * [simplify]: Extracting # 1 : cost  0
0.257 * * [simplify]: Extracting # 2 : cost  0
0.257 * * [simplify]: Extracting # 3 : cost  0
0.258 * * [simplify]: iteration  3 :  270  enodes  (cost  241 )
0.353 * * [simplify]: Extracting # 0 : cost  0
0.354 * * [simplify]: Extracting # 1 : cost  0
0.355 * * [simplify]: Extracting # 2 : cost  0
0.356 * * [simplify]: Extracting # 3 : cost  0
0.357 * * [simplify]: Extracting # 4 : cost  0
0.358 * * [simplify]: iteration  4 :  534  enodes  (cost  239 )
0.670 * * [simplify]: Extracting # 0 : cost  0
0.672 * * [simplify]: Extracting # 1 : cost  0
0.675 * * [simplify]: Extracting # 2 : cost  0
0.677 * * [simplify]: Extracting # 3 : cost  0
0.679 * * [simplify]: Extracting # 4 : cost  0
0.682 * * [simplify]: iteration  5 :  1497  enodes  (cost  239 )
1.763 * * [simplify]: Extracting # 0 : cost  0
1.772 * * [simplify]: Extracting # 1 : cost  0
1.777 * * [simplify]: Extracting # 2 : cost  0
1.781 * * [simplify]: Extracting # 3 : cost  0
1.786 * * [simplify]: Extracting # 4 : cost  0
1.795 * * [simplify]: iteration done:  5000  enodes  (cost  239 )
1.795 * [simplify]: Simplified to:
  1.0
  (+ 1 (* (+ N 1.0) N))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (pow (- (atan (+ N 1.0)) (atan N)) 3)
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (+ (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (pow (atan (+ N 1.0)) 3)
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
1.795 * * * [progress]: adding candidates to table
1.897 * * [progress]: iteration 2 / 4
1.897 * * * [progress]: picking best candidate
1.903 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.903 * * * [progress]: localizing error
1.910 * * * [progress]: generating rewritten candidates
1.910 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.910 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
1.932 * * * [progress]: generating series expansions
1.932 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.932 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.932 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.932 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.932 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.932 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.933 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.933 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.933 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.933 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.933 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.933 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.934 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.934 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.934 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.935 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.935 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.935 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.935 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.935 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.936 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.936 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.937 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
1.937 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
1.937 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
1.937 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.937 * [taylor]: Taking taylor expansion of N in N
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.937 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.937 * [taylor]: Taking taylor expansion of N in N
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.937 * [taylor]: Taking taylor expansion of 1.0 in N
1.937 * [backup-simplify]: Simplify 1.0 into 1.0
1.937 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.937 * [taylor]: Taking taylor expansion of N in N
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.937 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.937 * [taylor]: Taking taylor expansion of N in N
1.937 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [taylor]: Taking taylor expansion of 1.0 in N
1.938 * [backup-simplify]: Simplify 1.0 into 1.0
1.938 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.939 * [backup-simplify]: Simplify (* 0 1.0) into 0
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify (+ 1 0) into 1
1.941 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
1.941 * [backup-simplify]: Simplify 1.0 into 1.0
1.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
1.949 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
1.961 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
1.962 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
1.962 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
1.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.962 * [taylor]: Taking taylor expansion of N in N
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [taylor]: Taking taylor expansion of 1.0 in N
1.963 * [backup-simplify]: Simplify 1.0 into 1.0
1.963 * [taylor]: Taking taylor expansion of N in N
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (+ 1 0) into 1
1.964 * [backup-simplify]: Simplify (/ 1 1) into 1
1.964 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.964 * [taylor]: Taking taylor expansion of N in N
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (/ 1 1) into 1
1.964 * [taylor]: Taking taylor expansion of 1.0 in N
1.964 * [backup-simplify]: Simplify 1.0 into 1.0
1.964 * [taylor]: Taking taylor expansion of N in N
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.965 * [backup-simplify]: Simplify (+ 1 0) into 1
1.965 * [backup-simplify]: Simplify (/ 1 1) into 1
1.965 * [backup-simplify]: Simplify 1 into 1
1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.966 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.968 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
1.968 * [backup-simplify]: Simplify 1.0 into 1.0
1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.974 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.975 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.977 * [backup-simplify]: Simplify (+ 0 0) into 0
1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
1.978 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
1.978 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
1.978 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.978 * [taylor]: Taking taylor expansion of -1 in N
1.978 * [backup-simplify]: Simplify -1 into -1
1.978 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.978 * [taylor]: Taking taylor expansion of 1.0 in N
1.978 * [backup-simplify]: Simplify 1.0 into 1.0
1.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.978 * [taylor]: Taking taylor expansion of N in N
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (/ 1 1) into 1
1.979 * [taylor]: Taking taylor expansion of N in N
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (- 1) into -1
1.979 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.979 * [backup-simplify]: Simplify (/ -1 1) into -1
1.979 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.980 * [taylor]: Taking taylor expansion of -1 in N
1.980 * [backup-simplify]: Simplify -1 into -1
1.980 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.980 * [taylor]: Taking taylor expansion of 1.0 in N
1.980 * [backup-simplify]: Simplify 1.0 into 1.0
1.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.980 * [taylor]: Taking taylor expansion of N in N
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (/ 1 1) into 1
1.980 * [taylor]: Taking taylor expansion of N in N
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (- 1) into -1
1.981 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.981 * [backup-simplify]: Simplify (/ -1 1) into -1
1.981 * [backup-simplify]: Simplify (* -1 -1) into 1
1.981 * [backup-simplify]: Simplify 1 into 1
1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.982 * [backup-simplify]: Simplify (- 0) into 0
1.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.983 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
1.984 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
1.984 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.985 * [backup-simplify]: Simplify (- 0) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify (- 0) into 0
1.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.990 * [backup-simplify]: Simplify (- 0) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.991 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.992 * [backup-simplify]: Simplify (- 0) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.995 * [backup-simplify]: Simplify (- 0) into 0
1.995 * [backup-simplify]: Simplify (+ 0 0) into 0
1.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (- 0) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
2.001 * * * [progress]: simplifying candidates
2.002 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
2.003 * * [simplify]: Extracting # 0 : cost  0
2.003 * * [simplify]: Extracting # 1 : cost  0
2.003 * * [simplify]: Extracting # 2 : cost  0
2.003 * * [simplify]: Extracting # 3 : cost  0
2.004 * * [simplify]: Extracting # 4 : cost  0
2.004 * * [simplify]: Extracting # 5 : cost  0
2.004 * * [simplify]: Extracting # 6 : cost  0
2.004 * * [simplify]: iteration  0 :  55  enodes  (cost  317 )
2.026 * * [simplify]: Extracting # 0 : cost  0
2.026 * * [simplify]: Extracting # 1 : cost  0
2.027 * * [simplify]: Extracting # 2 : cost  0
2.027 * * [simplify]: Extracting # 3 : cost  0
2.027 * * [simplify]: Extracting # 4 : cost  0
2.027 * * [simplify]: iteration  1 :  120  enodes  (cost  312 )
2.087 * * [simplify]: Extracting # 0 : cost  0
2.087 * * [simplify]: Extracting # 1 : cost  0
2.088 * * [simplify]: Extracting # 2 : cost  0
2.088 * * [simplify]: Extracting # 3 : cost  0
2.088 * * [simplify]: Extracting # 4 : cost  0
2.089 * * [simplify]: iteration  2 :  356  enodes  (cost  264 )
2.361 * * [simplify]: Extracting # 0 : cost  0
2.362 * * [simplify]: Extracting # 1 : cost  0
2.363 * * [simplify]: Extracting # 2 : cost  0
2.364 * * [simplify]: Extracting # 3 : cost  0
2.364 * * [simplify]: Extracting # 4 : cost  0
2.365 * * [simplify]: iteration  3 :  1001  enodes  (cost  264 )
4.063 * * [simplify]: Extracting # 0 : cost  0
4.066 * * [simplify]: Extracting # 1 : cost  0
4.072 * * [simplify]: Extracting # 2 : cost  0
4.077 * * [simplify]: Extracting # 3 : cost  0
4.082 * * [simplify]: Extracting # 4 : cost  0
4.088 * * [simplify]: iteration  4 :  4336  enodes  (cost  264 )
5.631 * * [simplify]: Extracting # 0 : cost  0
5.635 * * [simplify]: Extracting # 1 : cost  0
5.638 * * [simplify]: Extracting # 2 : cost  0
5.642 * * [simplify]: Extracting # 3 : cost  0
5.645 * * [simplify]: Extracting # 4 : cost  0
5.648 * * [simplify]: iteration done:  5002  enodes  (cost  264 )
5.649 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (log (* (+ N 1.0) N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (pow (* (+ N 1.0) N) 3)
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (pow (* (+ N 1.0) N) 3)
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (+ N 1.0)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
5.649 * * * [progress]: adding candidates to table
5.713 * * [progress]: iteration 3 / 4
5.713 * * * [progress]: picking best candidate
5.723 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
5.723 * * * [progress]: localizing error
5.737 * * * [progress]: generating rewritten candidates
5.737 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.739 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
5.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.761 * * * [progress]: generating series expansions
5.761 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.762 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.762 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
5.762 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.762 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.762 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.762 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.762 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.763 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.763 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.763 * [backup-simplify]: Simplify 0 into 0
5.764 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.764 * [backup-simplify]: Simplify 0 into 0
5.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.766 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.767 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.767 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
5.767 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.767 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.767 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.767 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.768 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.768 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.768 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.768 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.769 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.769 * [backup-simplify]: Simplify 0 into 0
5.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.769 * [backup-simplify]: Simplify 0 into 0
5.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.770 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.771 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.773 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.775 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.775 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
5.775 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.775 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.775 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.775 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.776 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.776 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.776 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.776 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.777 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.777 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.779 * [backup-simplify]: Simplify 0 into 0
5.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.780 * [backup-simplify]: Simplify 0 into 0
5.781 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.781 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.782 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.784 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
5.784 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.785 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
5.785 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.785 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.785 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.785 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.786 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.786 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.786 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.786 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.787 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.788 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.789 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.790 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.790 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.790 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
5.790 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.790 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.791 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.791 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.791 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.791 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.791 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.791 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.792 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
5.792 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.793 * [backup-simplify]: Simplify 0 into 0
5.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.794 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.795 * [backup-simplify]: Simplify 0 into 0
5.796 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.796 * [backup-simplify]: Simplify 0 into 0
5.796 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.796 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.796 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
5.796 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.796 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.796 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.796 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.797 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.797 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.797 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.797 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.798 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.798 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.800 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.802 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.802 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.802 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
5.802 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.802 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.802 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.802 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.802 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.803 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.803 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
5.803 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.803 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.803 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.803 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.804 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.804 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.804 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
5.804 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.805 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.805 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.805 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.805 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.805 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
5.805 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.806 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
5.806 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.806 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.806 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.806 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.806 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.806 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.806 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
5.807 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.807 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.807 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.807 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.807 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.808 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.808 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
5.808 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.808 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.808 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.808 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.808 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.809 * * * [progress]: simplifying candidates
5.810 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1)
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.812 * * [simplify]: Extracting # 0 : cost  0
5.813 * * [simplify]: Extracting # 1 : cost  0
5.813 * * [simplify]: Extracting # 2 : cost  0
5.813 * * [simplify]: Extracting # 3 : cost  0
5.813 * * [simplify]: Extracting # 4 : cost  0
5.813 * * [simplify]: Extracting # 5 : cost  0
5.813 * * [simplify]: Extracting # 6 : cost  0
5.813 * * [simplify]: Extracting # 7 : cost  0
5.813 * * [simplify]: Extracting # 8 : cost  0
5.813 * * [simplify]: Extracting # 9 : cost  0
5.813 * * [simplify]: iteration  0 :  64  enodes  (cost  1843 )
5.837 * * [simplify]: Extracting # 0 : cost  0
5.837 * * [simplify]: Extracting # 1 : cost  0
5.837 * * [simplify]: Extracting # 2 : cost  0
5.837 * * [simplify]: iteration  1 :  104  enodes  (cost  1267 )
5.861 * * [simplify]: Extracting # 0 : cost  0
5.861 * * [simplify]: Extracting # 1 : cost  0
5.861 * * [simplify]: Extracting # 2 : cost  0
5.861 * * [simplify]: Extracting # 3 : cost  0
5.862 * * [simplify]: iteration  2 :  216  enodes  (cost  1115 )
5.975 * * [simplify]: Extracting # 0 : cost  0
5.975 * * [simplify]: Extracting # 1 : cost  0
5.976 * * [simplify]: Extracting # 2 : cost  0
5.976 * * [simplify]: Extracting # 3 : cost  0
5.976 * * [simplify]: Extracting # 4 : cost  0
5.977 * * [simplify]: iteration  3 :  409  enodes  (cost  1064 )
6.175 * * [simplify]: Extracting # 0 : cost  0
6.176 * * [simplify]: Extracting # 1 : cost  0
6.177 * * [simplify]: Extracting # 2 : cost  0
6.177 * * [simplify]: Extracting # 3 : cost  0
6.178 * * [simplify]: Extracting # 4 : cost  0
6.179 * * [simplify]: iteration  4 :  838  enodes  (cost  1028 )
8.105 * * [simplify]: Extracting # 0 : cost  0
8.110 * * [simplify]: Extracting # 1 : cost  0
8.122 * * [simplify]: Extracting # 2 : cost  0
8.126 * * [simplify]: Extracting # 3 : cost  0
8.129 * * [simplify]: Extracting # 4 : cost  0
8.133 * * [simplify]: iteration  5 :  4762  enodes  (cost  998 )
10.232 * * [simplify]: Extracting # 0 : cost  0
10.239 * * [simplify]: Extracting # 1 : cost  0
10.245 * * [simplify]: Extracting # 2 : cost  0
10.251 * * [simplify]: Extracting # 3 : cost  0
10.257 * * [simplify]: Extracting # 4 : cost  0
10.269 * * [simplify]: iteration done:  5000  enodes  (cost  998 )
10.270 * [simplify]: Simplified to:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2)
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  1
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2)
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  1
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  1
  1
  2
  1
  1
  (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4)
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4)
  2
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4)
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)
  (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4)
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2)
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4)
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  1
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  1
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  1
  2
  1
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5)
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4)
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4)
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
10.271 * * * [progress]: adding candidates to table
10.500 * * [progress]: iteration 4 / 4
10.501 * * * [progress]: picking best candidate
10.522 * * * * [pick]: Picked  #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>
10.522 * * * [progress]: localizing error
10.542 * * * [progress]: generating rewritten candidates
10.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
10.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
10.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
10.547 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
10.548 * * * [progress]: generating series expansions
10.548 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
10.548 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.548 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0
10.548 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N
10.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N
10.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N
10.548 * [taylor]: Taking taylor expansion of 1/3 in N
10.548 * [backup-simplify]: Simplify 1/3 into 1/3
10.548 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
10.549 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.549 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.549 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.549 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) into (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))
10.549 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.550 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N
10.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N
10.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N
10.550 * [taylor]: Taking taylor expansion of 1/3 in N
10.550 * [backup-simplify]: Simplify 1/3 into 1/3
10.550 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
10.550 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.550 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.550 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.550 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) into (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))
10.551 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.551 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 1) into 0
10.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.554 * [backup-simplify]: Simplify 0 into 0
10.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 2) into 0
10.557 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))) into 0
10.558 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.558 * [backup-simplify]: Simplify 0 into 0
10.560 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 6) into 0
10.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))))) into 0
10.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.562 * [backup-simplify]: Simplify 0 into 0
10.565 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 24) into 0
10.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))))) into 0
10.568 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.568 * [backup-simplify]: Simplify 0 into 0
10.573 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 120) into 0
10.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))))))) into 0
10.577 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.577 * [backup-simplify]: Simplify 0 into 0
10.590 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 720) into 0
10.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))))))) into 0
10.596 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.596 * [backup-simplify]: Simplify 0 into 0
10.597 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.597 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.597 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0
10.597 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N
10.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N
10.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N
10.597 * [taylor]: Taking taylor expansion of 1/3 in N
10.597 * [backup-simplify]: Simplify 1/3 into 1/3
10.597 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
10.597 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.598 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.598 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.598 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))
10.598 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.599 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N
10.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N
10.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N
10.599 * [taylor]: Taking taylor expansion of 1/3 in N
10.599 * [backup-simplify]: Simplify 1/3 into 1/3
10.599 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
10.599 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.599 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.599 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.600 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))
10.600 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.600 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 1) into 0
10.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.603 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.603 * [backup-simplify]: Simplify 0 into 0
10.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 2) into 0
10.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))) into 0
10.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.607 * [backup-simplify]: Simplify 0 into 0
10.610 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 6) into 0
10.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))))) into 0
10.613 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.613 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 24) into 0
10.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))))) into 0
10.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.630 * [backup-simplify]: Simplify 0 into 0
10.637 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 120) into 0
10.639 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))))))) into 0
10.643 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.643 * [backup-simplify]: Simplify 0 into 0
10.655 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 720) into 0
10.657 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))))))) into 0
10.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.662 * [backup-simplify]: Simplify 0 into 0
10.662 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.662 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.662 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0
10.662 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
10.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
10.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
10.662 * [taylor]: Taking taylor expansion of 1/3 in N
10.662 * [backup-simplify]: Simplify 1/3 into 1/3
10.662 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
10.662 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.663 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.663 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.663 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
10.664 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.664 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
10.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
10.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
10.664 * [taylor]: Taking taylor expansion of 1/3 in N
10.664 * [backup-simplify]: Simplify 1/3 into 1/3
10.664 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
10.664 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.664 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.664 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.665 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
10.665 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.665 * [backup-simplify]: Simplify (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 1) into 0
10.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.668 * [backup-simplify]: Simplify 0 into 0
10.670 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 2) into 0
10.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
10.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.672 * [backup-simplify]: Simplify 0 into 0
10.675 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 6) into 0
10.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))) into 0
10.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.678 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 24) into 0
10.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))) into 0
10.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.686 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 120) into 0
10.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))))) into 0
10.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.699 * [backup-simplify]: Simplify 0 into 0
10.711 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 720) into 0
10.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))))) into 0
10.717 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.718 * [backup-simplify]: Simplify 0 into 0
10.718 * [backup-simplify]: Simplify (pow (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.718 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
10.718 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.718 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0
10.718 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N
10.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N
10.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N
10.718 * [taylor]: Taking taylor expansion of 1/3 in N
10.718 * [backup-simplify]: Simplify 1/3 into 1/3
10.718 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
10.719 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.719 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.719 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.719 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) into (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))
10.719 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.719 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N
10.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N
10.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N
10.720 * [taylor]: Taking taylor expansion of 1/3 in N
10.720 * [backup-simplify]: Simplify 1/3 into 1/3
10.720 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
10.720 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.720 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.720 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.720 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) into (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))
10.721 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.721 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 1) into 0
10.722 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.723 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.723 * [backup-simplify]: Simplify 0 into 0
10.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 2) into 0
10.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))) into 0
10.727 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.727 * [backup-simplify]: Simplify 0 into 0
10.730 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 6) into 0
10.731 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))))) into 0
10.732 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.732 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 24) into 0
10.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))))) into 0
10.745 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.745 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 120) into 0
10.752 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))))))) into 0
10.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.754 * [backup-simplify]: Simplify 0 into 0
10.762 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1)))) 720) into 0
10.764 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))))))))) into 0
10.767 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.767 * [backup-simplify]: Simplify 0 into 0
10.767 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.768 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.768 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0
10.768 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N
10.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N
10.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N
10.768 * [taylor]: Taking taylor expansion of 1/3 in N
10.768 * [backup-simplify]: Simplify 1/3 into 1/3
10.768 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
10.768 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.768 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.768 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.769 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))
10.769 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.769 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N
10.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N
10.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N
10.769 * [taylor]: Taking taylor expansion of 1/3 in N
10.769 * [backup-simplify]: Simplify 1/3 into 1/3
10.769 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
10.769 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.770 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.770 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.770 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))
10.770 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.771 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)
10.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 1) into 0
10.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.773 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 2) into 0
10.776 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))) into 0
10.778 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.778 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 6) into 0
10.782 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))))) into 0
10.783 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.783 * [backup-simplify]: Simplify 0 into 0
10.788 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 24) into 0
10.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))))) into 0
10.791 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.796 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 120) into 0
10.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))))))) into 0
10.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.801 * [backup-simplify]: Simplify 0 into 0
10.814 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1)))) 720) into 0
10.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))))))))) into 0
10.821 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.822 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.822 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0
10.822 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
10.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
10.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
10.822 * [taylor]: Taking taylor expansion of 1/3 in N
10.822 * [backup-simplify]: Simplify 1/3 into 1/3
10.822 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
10.822 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.822 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.822 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.823 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
10.823 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.823 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
10.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
10.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
10.823 * [taylor]: Taking taylor expansion of 1/3 in N
10.823 * [backup-simplify]: Simplify 1/3 into 1/3
10.823 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
10.823 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.823 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.824 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.824 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
10.824 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.825 * [backup-simplify]: Simplify (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
10.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 1) into 0
10.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.827 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.828 * [backup-simplify]: Simplify 0 into 0
10.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 2) into 0
10.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
10.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.832 * [backup-simplify]: Simplify 0 into 0
10.835 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 6) into 0
10.836 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))) into 0
10.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.838 * [backup-simplify]: Simplify 0 into 0
10.843 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 24) into 0
10.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))) into 0
10.847 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.847 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 120) into 0
10.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))))) into 0
10.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.864 * [backup-simplify]: Simplify 0 into 0
10.876 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 720) into 0
10.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))))) into 0
10.883 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.883 * [backup-simplify]: Simplify 0 into 0
10.884 * [backup-simplify]: Simplify (pow (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) 1/3) into (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
10.884 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
10.884 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.884 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
10.884 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
10.884 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.884 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.884 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.885 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
10.885 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.885 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.885 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.886 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.886 * [backup-simplify]: Simplify 0 into 0
10.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.887 * [backup-simplify]: Simplify 0 into 0
10.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.887 * [backup-simplify]: Simplify 0 into 0
10.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.888 * [backup-simplify]: Simplify 0 into 0
10.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.889 * [backup-simplify]: Simplify 0 into 0
10.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
10.890 * [backup-simplify]: Simplify 0 into 0
10.890 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.890 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.890 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
10.890 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
10.890 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.890 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.890 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.891 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
10.891 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.891 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.891 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.891 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
10.891 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.892 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.893 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.895 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.895 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
10.895 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
10.895 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.896 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.896 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.896 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
10.896 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.896 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.896 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.897 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
10.897 * [backup-simplify]: Simplify 0 into 0
10.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.898 * [backup-simplify]: Simplify 0 into 0
10.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.898 * [backup-simplify]: Simplify 0 into 0
10.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.899 * [backup-simplify]: Simplify 0 into 0
10.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.901 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
10.902 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
10.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
10.902 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.902 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
10.902 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.903 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.903 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
10.903 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.903 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 0 into 0
10.904 * [backup-simplify]: Simplify 0 into 0
10.904 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.904 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.904 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
10.904 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.904 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.904 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
10.905 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.905 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 0 into 0
10.906 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.906 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.906 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
10.906 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.906 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.906 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
10.907 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.907 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 0 into 0
10.908 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.908 * * * [progress]: simplifying candidates
10.909 * [simplify]: Simplifying:
  (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt 1)
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt 1)
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
  (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
10.911 * * [simplify]: Extracting # 0 : cost  0
10.911 * * [simplify]: Extracting # 1 : cost  0
10.911 * * [simplify]: Extracting # 2 : cost  0
10.911 * * [simplify]: Extracting # 3 : cost  0
10.911 * * [simplify]: Extracting # 4 : cost  0
10.911 * * [simplify]: Extracting # 5 : cost  0
10.911 * * [simplify]: Extracting # 6 : cost  0
10.911 * * [simplify]: Extracting # 7 : cost  0
10.911 * * [simplify]: Extracting # 8 : cost  0
10.911 * * [simplify]: iteration  0 :  41  enodes  (cost  781 )
10.922 * * [simplify]: Extracting # 0 : cost  0
10.922 * * [simplify]: Extracting # 1 : cost  0
10.922 * * [simplify]: Extracting # 2 : cost  0
10.922 * * [simplify]: Extracting # 3 : cost  0
10.922 * * [simplify]: iteration  1 :  65  enodes  (cost  747 )
10.939 * * [simplify]: Extracting # 0 : cost  0
10.939 * * [simplify]: Extracting # 1 : cost  0
10.939 * * [simplify]: Extracting # 2 : cost  0
10.939 * * [simplify]: Extracting # 3 : cost  0
10.939 * * [simplify]: iteration  2 :  94  enodes  (cost  657 )
10.964 * * [simplify]: Extracting # 0 : cost  0
10.964 * * [simplify]: Extracting # 1 : cost  0
10.964 * * [simplify]: Extracting # 2 : cost  0
10.965 * * [simplify]: Extracting # 3 : cost  0
10.965 * * [simplify]: Extracting # 4 : cost  0
10.965 * * [simplify]: iteration  3 :  152  enodes  (cost  621 )
11.029 * * [simplify]: Extracting # 0 : cost  0
11.030 * * [simplify]: Extracting # 1 : cost  0
11.030 * * [simplify]: Extracting # 2 : cost  0
11.030 * * [simplify]: Extracting # 3 : cost  0
11.031 * * [simplify]: Extracting # 4 : cost  0
11.031 * * [simplify]: iteration  4 :  460  enodes  (cost  621 )
12.016 * * [simplify]: Extracting # 0 : cost  0
12.020 * * [simplify]: Extracting # 1 : cost  0
12.023 * * [simplify]: Extracting # 2 : cost  0
12.026 * * [simplify]: Extracting # 3 : cost  0
12.029 * * [simplify]: Extracting # 4 : cost  0
12.032 * * [simplify]: Extracting # 5 : cost  0
12.035 * * [simplify]: iteration  5 :  3380  enodes  (cost  621 )
14.326 * * [simplify]: Extracting # 0 : cost  0
14.331 * * [simplify]: Extracting # 1 : cost  0
14.336 * * [simplify]: Extracting # 2 : cost  0
14.340 * * [simplify]: Extracting # 3 : cost  0
14.345 * * [simplify]: iteration done:  5001  enodes  (cost  621 )
14.346 * [simplify]: Simplified to:
  (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (pow (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 2/3))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  1
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (pow (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 2/3))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  1
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  1
  (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 2/3)
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (pow (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 3)
  (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))
  (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))
  (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))
  (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
14.346 * * * [progress]: adding candidates to table
14.505 * [progress]: [Phase 3 of 3] Extracting.
14.505 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (exp (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (- (* N N) (* 1.0 1.0)) N) (- N 1.0)))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (cbrt (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3)) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>)
14.507 * * * [regime-changes]: Trying 1 branch expressions: (N)
14.507 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (exp (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (- (* N N) (* 1.0 1.0)) N) (- N 1.0)))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (cbrt (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3)) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>)
14.537 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
14.538 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
14.538 * * [simplify]: Extracting # 0 : cost  0
14.538 * * [simplify]: Extracting # 1 : cost  0
14.538 * * [simplify]: Extracting # 2 : cost  0
14.538 * * [simplify]: Extracting # 3 : cost  0
14.538 * * [simplify]: Extracting # 4 : cost  0
14.538 * * [simplify]: Extracting # 5 : cost  0
14.538 * * [simplify]: iteration  0 :  7  enodes  (cost  9 )
14.539 * * [simplify]: Extracting # 0 : cost  0
14.539 * * [simplify]: iteration  1 :  12  enodes  (cost  9 )
14.539 * * [simplify]: Extracting # 0 : cost  0
14.539 * * [simplify]: iteration done:  12  enodes  (cost  9 )
14.539 * [simplify]: Simplified to:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
16.679 * [regime-testing]: Baseline error score: 0.3565381818804326
16.679 * [regime-testing]: Oracle error score: 0.31345967675470177
16.681 * [regime-testing]: End program error score: 0.3565381818804326
16.718 * [regime-testing]: Target error score: 0.3591635100464533