35.975 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.045 * * * [progress]: [2/2] Setting up program.
0.052 * [progress]: [Phase 2 of 3] Improving.
0.052 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.052 * * [simplify]: iteration 0: 6 enodes
0.054 * * [simplify]: iteration 1: 9 enodes
0.055 * * [simplify]: iteration 2: 10 enodes
0.058 * * [simplify]: iteration complete: 10 enodes
0.058 * * [simplify]: Extracting #0: cost 1 inf + 0
0.058 * * [simplify]: Extracting #1: cost 4 inf + 0
0.058 * * [simplify]: Extracting #2: cost 6 inf + 0
0.058 * * [simplify]: Extracting #3: cost 6 inf + 1
0.058 * * [simplify]: Extracting #4: cost 0 inf + 21
0.058 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.067 * * [progress]: iteration 1 / 4
0.067 * * * [progress]: picking best candidate
0.073 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ 1.0 N)) (atan N)))>
0.073 * * * [progress]: localizing error
0.091 * * * [progress]: generating rewritten candidates
0.091 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.100 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.102 * * * [progress]: generating series expansions
0.102 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.102 * [backup-simplify]: Simplify (- (atan (+ 1.0 N)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.102 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.102 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.102 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.104 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.104 * [taylor]: Taking taylor expansion of (atan N) in N
0.104 * [backup-simplify]: Simplify (atan N) into (atan N)
0.104 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.104 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.104 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.104 * [taylor]: Taking taylor expansion of (atan N) in N
0.104 * [backup-simplify]: Simplify (atan N) into (atan N)
0.104 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.104 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.105 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.105 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.110 * [backup-simplify]: Simplify (- (atan (+ 1.0 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.110 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.110 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.110 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.110 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.110 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.110 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.110 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.111 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.111 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.115 * [backup-simplify]: Simplify (- (atan (+ 1.0 (/ 1 (- N)))) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.115 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.115 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.115 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.115 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.116 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.116 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.116 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.116 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.116 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.116 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.116 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.116 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.116 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.116 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [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
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.119 * [backup-simplify]: Simplify (atan (+ 1.0 N)) into (atan (+ N 1.0))
0.119 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.119 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.119 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.119 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.119 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.120 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.120 * [backup-simplify]: Simplify 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 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.120 * [backup-simplify]: Simplify (atan (+ 1.0 (/ 1 N))) into (atan (+ (/ 1 N) 1.0))
0.120 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.120 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.120 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.120 * [backup-simplify]: Simplify 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 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.120 * [backup-simplify]: Simplify (atan (+ 1.0 (/ 1 (- N)))) into (atan (- 1.0 (/ 1 N)))
0.120 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.120 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.121 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.121 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.121 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.121 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.121 * [backup-simplify]: Simplify 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 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.121 * * * [progress]: simplifying candidates
0.122 * [simplify]: Simplifying:
  (- (+ 1.0 N) N)
  (+ 1 (* (+ 1.0 N) N))
  (/ (exp (atan (+ 1.0 N))) (exp (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (* (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))) (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3))
  (+ (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (atan N))))
  (- (atan N))
  (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N)))
  (+ (atan (+ 1.0 N)) (atan N))
  (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (log (atan (+ 1.0 N)))
  (exp (atan (+ 1.0 N)))
  (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))
  (cbrt (atan (+ 1.0 N)))
  (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (- (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))
0.122 * * [simplify]: iteration 0: 43 enodes
0.128 * * [simplify]: iteration 1: 79 enodes
0.140 * * [simplify]: iteration 2: 154 enodes
0.222 * * [simplify]: iteration 3: 364 enodes
0.325 * * [simplify]: iteration 4: 1072 enodes
0.963 * * [simplify]: iteration 5: 3978 enodes
2.118 * * [simplify]: iteration complete: 5000 enodes
2.118 * * [simplify]: Extracting #0: cost 23 inf + 0
2.119 * * [simplify]: Extracting #1: cost 234 inf + 1
2.124 * * [simplify]: Extracting #2: cost 977 inf + 4
2.132 * * [simplify]: Extracting #3: cost 1170 inf + 38
2.140 * * [simplify]: Extracting #4: cost 1109 inf + 846
2.149 * * [simplify]: Extracting #5: cost 711 inf + 6698
2.157 * * [simplify]: Extracting #6: cost 65 inf + 22539
2.165 * * [simplify]: Extracting #7: cost 0 inf + 24055
2.181 * [simplify]: Simplified to:
  1.0
  (+ (* N (+ N 1.0)) 1)
  (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) (atan N)) (* (atan (+ N 1.0)) (+ (atan N) (atan (+ N 1.0)))))
  (- (atan N))
  (* (- (atan (+ N 1.0)) (atan N)) (+ (atan N) (atan (+ N 1.0))))
  (+ (atan N) (atan (+ N 1.0)))
  (+ (sqrt (atan N)) (sqrt (atan (+ N 1.0))))
  (- (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))
2.181 * * * [progress]: adding candidates to table
2.304 * * [progress]: iteration 2 / 4
2.304 * * * [progress]: picking best candidate
2.307 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))>
2.307 * * * [progress]: localizing error
2.316 * * * [progress]: generating rewritten candidates
2.316 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.316 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1)
2.334 * * * [progress]: generating series expansions
2.334 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.335 * [backup-simplify]: Simplify (atan2 1.0 (+ (* N (+ N 1.0)) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.335 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
2.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.335 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.335 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.336 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.337 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
2.337 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.337 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.338 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.338 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.339 * [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))))
2.339 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.339 * [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))))
2.339 * [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))))
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.340 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1)
2.340 * [backup-simplify]: Simplify (* N (+ N 1.0)) into (* N (+ N 1.0))
2.340 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
2.340 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.340 * [taylor]: Taking taylor expansion of N in N
2.340 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify 1 into 1
2.340 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.340 * [taylor]: Taking taylor expansion of N in N
2.340 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify 1 into 1
2.340 * [taylor]: Taking taylor expansion of 1.0 in N
2.340 * [backup-simplify]: Simplify 1.0 into 1.0
2.340 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.340 * [taylor]: Taking taylor expansion of N in N
2.340 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify 1 into 1
2.340 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.340 * [taylor]: Taking taylor expansion of N in N
2.340 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify 1 into 1
2.340 * [taylor]: Taking taylor expansion of 1.0 in N
2.340 * [backup-simplify]: Simplify 1.0 into 1.0
2.341 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.341 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify (+ 1 0) into 1
2.343 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.343 * [backup-simplify]: Simplify 1.0 into 1.0
2.344 * [backup-simplify]: Simplify (+ 0 0) into 0
2.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.345 * [backup-simplify]: Simplify 1 into 1
2.345 * [backup-simplify]: Simplify (+ 0 0) into 0
2.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.346 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify (+ 0 0) into 0
2.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
2.354 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify (+ 0 0) into 0
2.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify (+ 0 0) into 0
2.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
2.361 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
2.362 * [backup-simplify]: Simplify (* (/ 1 N) (+ (/ 1 N) 1.0)) into (/ (+ (/ 1 N) 1.0) N)
2.362 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
2.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.362 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.362 * [taylor]: Taking taylor expansion of N in N
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 1 into 1
2.362 * [backup-simplify]: Simplify (/ 1 1) into 1
2.363 * [taylor]: Taking taylor expansion of 1.0 in N
2.363 * [backup-simplify]: Simplify 1.0 into 1.0
2.363 * [taylor]: Taking taylor expansion of N in N
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 1 into 1
2.363 * [backup-simplify]: Simplify (+ 1 0) into 1
2.363 * [backup-simplify]: Simplify (/ 1 1) into 1
2.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.363 * [taylor]: Taking taylor expansion of N in N
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 1 into 1
2.364 * [backup-simplify]: Simplify (/ 1 1) into 1
2.364 * [taylor]: Taking taylor expansion of 1.0 in N
2.364 * [backup-simplify]: Simplify 1.0 into 1.0
2.364 * [taylor]: Taking taylor expansion of N in N
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 1 into 1
2.364 * [backup-simplify]: Simplify (+ 1 0) into 1
2.365 * [backup-simplify]: Simplify (/ 1 1) into 1
2.365 * [backup-simplify]: Simplify 1 into 1
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.368 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.368 * [backup-simplify]: Simplify 1.0 into 1.0
2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.372 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (+ 0 0) into 0
2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.374 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.376 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.377 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.378 * [backup-simplify]: Simplify (+ 0 0) into 0
2.379 * [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
2.379 * [backup-simplify]: Simplify 0 into 0
2.380 * [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
2.380 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [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
2.381 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
2.382 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) into (* -1 (/ (- 1.0 (/ 1 N)) N))
2.382 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
2.382 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.382 * [taylor]: Taking taylor expansion of -1 in N
2.382 * [backup-simplify]: Simplify -1 into -1
2.382 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.382 * [taylor]: Taking taylor expansion of 1.0 in N
2.382 * [backup-simplify]: Simplify 1.0 into 1.0
2.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.382 * [taylor]: Taking taylor expansion of N in N
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (/ 1 1) into 1
2.383 * [taylor]: Taking taylor expansion of N in N
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (- 1) into -1
2.383 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.384 * [backup-simplify]: Simplify (/ -1 1) into -1
2.384 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.384 * [taylor]: Taking taylor expansion of -1 in N
2.384 * [backup-simplify]: Simplify -1 into -1
2.384 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.384 * [taylor]: Taking taylor expansion of 1.0 in N
2.384 * [backup-simplify]: Simplify 1.0 into 1.0
2.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.384 * [taylor]: Taking taylor expansion of N in N
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.384 * [backup-simplify]: Simplify (/ 1 1) into 1
2.384 * [taylor]: Taking taylor expansion of N in N
2.384 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (- 1) into -1
2.385 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.386 * [backup-simplify]: Simplify (/ -1 1) into -1
2.386 * [backup-simplify]: Simplify (* -1 -1) into 1
2.386 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.387 * [backup-simplify]: Simplify (- 0) into 0
2.388 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.390 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.391 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
2.391 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.393 * [backup-simplify]: Simplify (- 0) into 0
2.393 * [backup-simplify]: Simplify (+ 0 0) into 0
2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
2.395 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.396 * [backup-simplify]: Simplify (- 0) into 0
2.396 * [backup-simplify]: Simplify (+ 0 0) into 0
2.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.400 * [backup-simplify]: Simplify (- 0) into 0
2.400 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
2.403 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (- 0) into 0
2.404 * [backup-simplify]: Simplify (+ 0 0) into 0
2.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
2.407 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify (- 0) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.410 * [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
2.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.413 * [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
2.414 * [backup-simplify]: Simplify (- 0) into 0
2.414 * [backup-simplify]: Simplify (+ 0 0) into 0
2.415 * [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
2.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
2.418 * * * [progress]: simplifying candidates
2.419 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (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)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* N (+ N 1.0))
  (+ (log N) (log (+ N 1.0)))
  (log (* N (+ N 1.0)))
  (exp (* N (+ N 1.0)))
  (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (cbrt (* N (+ N 1.0)))
  (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* N N)
  (* N 1.0)
  (* N N)
  (* 1.0 N)
  (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (* N (sqrt (+ N 1.0)))
  (* N 1)
  (* N 1)
  (* (cbrt N) (+ N 1.0))
  (* (sqrt N) (+ N 1.0))
  (* N (+ N 1.0))
  (* N (+ (pow N 3) (pow 1.0 3)))
  (* N (- (* N N) (* 1.0 1.0)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
2.420 * * [simplify]: iteration 0: 56 enodes
2.442 * * [simplify]: iteration 1: 156 enodes
2.525 * * [simplify]: iteration 2: 748 enodes
2.799 * * [simplify]: iteration complete: 5001 enodes
2.799 * * [simplify]: Extracting #0: cost 27 inf + 0
2.801 * * [simplify]: Extracting #1: cost 622 inf + 4
2.808 * * [simplify]: Extracting #2: cost 1646 inf + 1079
2.819 * * [simplify]: Extracting #3: cost 1606 inf + 8909
2.833 * * [simplify]: Extracting #4: cost 259 inf + 21402
2.845 * * [simplify]: Extracting #5: cost 13 inf + 23270
2.853 * * [simplify]: Extracting #6: cost 3 inf + 23312
3.206 * * [simplify]: Extracting #7: cost 0 inf + 23327
3.215 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* N (+ N 1.0))
  (log (* N (+ N 1.0)))
  (log (* N (+ N 1.0)))
  (pow (exp N) (+ N 1.0))
  (* (pow N 3) (pow (+ N 1.0) 3))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (cbrt (* N (+ N 1.0)))
  (pow (* N (+ N 1.0)) 3)
  (sqrt (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* N N)
  (* 1.0 N)
  (* N N)
  (* 1.0 N)
  (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (* N (sqrt (+ N 1.0)))
  N
  N
  (* (cbrt N) (+ 1.0 N))
  (* (sqrt N) (+ N 1.0))
  (* N (+ N 1.0))
  (* N (+ (pow 1.0 3) (pow N 3)))
  (* (+ 1.0 N) (* (- N 1.0) N))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
3.216 * * * [progress]: adding candidates to table
3.335 * * [progress]: iteration 3 / 4
3.335 * * * [progress]: picking best candidate
3.351 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))>
3.351 * * * [progress]: localizing error
3.374 * * * [progress]: generating rewritten candidates
3.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.376 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.398 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.402 * * * [progress]: generating series expansions
3.402 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.402 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.403 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
3.403 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.403 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.403 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.403 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.404 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.404 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.404 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.404 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.405 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.406 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.409 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.411 * [backup-simplify]: Simplify 0 into 0
3.411 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.412 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.412 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
3.412 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.412 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.412 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.413 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.413 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.413 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.413 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.414 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.415 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.415 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.417 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.419 * [backup-simplify]: Simplify 0 into 0
3.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.421 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.421 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
3.421 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.421 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.421 * [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))))
3.422 * [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)))))
3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.422 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.422 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.422 * [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))))
3.422 * [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)))))
3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.423 * [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)))))
3.423 * [backup-simplify]: Simplify 0 into 0
3.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.423 * [backup-simplify]: Simplify 0 into 0
3.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.424 * [backup-simplify]: Simplify 0 into 0
3.425 * [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
3.425 * [backup-simplify]: Simplify 0 into 0
3.425 * [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
3.425 * [backup-simplify]: Simplify 0 into 0
3.426 * [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
3.426 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.427 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.427 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
3.427 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.427 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.427 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.427 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.427 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.427 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.427 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.428 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.428 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.428 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.429 * [backup-simplify]: Simplify 0 into 0
3.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.430 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.431 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.432 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.432 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
3.432 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.432 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.432 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.432 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.433 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.433 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.433 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.433 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.433 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.433 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.434 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.435 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.441 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.441 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
3.441 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.441 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.441 * [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))))
3.441 * [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)))))
3.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.441 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.441 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.441 * [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))))
3.442 * [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)))))
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.442 * [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)))))
3.442 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [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
3.444 * [backup-simplify]: Simplify 0 into 0
3.445 * [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
3.445 * [backup-simplify]: Simplify 0 into 0
3.446 * [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
3.446 * [backup-simplify]: Simplify 0 into 0
3.446 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.446 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.446 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.446 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
3.446 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.447 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.447 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.447 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.447 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.448 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.448 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
3.448 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.448 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.448 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.448 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.448 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.449 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.449 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
3.449 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.449 * [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))))
3.449 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.449 * [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))))
3.450 * [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))))
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.450 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.450 * [backup-simplify]: Simplify (atan2 1.0 (+ (* N (+ N 1.0)) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.450 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
3.450 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.450 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.450 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.451 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.451 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.452 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.452 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
3.452 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.452 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.452 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.452 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.452 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.453 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.453 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
3.453 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.453 * [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))))
3.453 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.453 * [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))))
3.454 * [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))))
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.454 * * * [progress]: simplifying candidates
3.455 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt 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 (+ (* N (+ N 1.0)) 1))))
  (exp (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt 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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (+ (* N (+ N 1.0)) 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))))
  (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (log (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (exp (* (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)))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (cbrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (cbrt (* (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)))
  (sqrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (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 (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))))
  (log (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (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)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.457 * * [simplify]: iteration 0: 64 enodes
3.471 * * [simplify]: iteration 1: 136 enodes
3.502 * * [simplify]: iteration 2: 522 enodes
4.733 * * [simplify]: iteration 3: 4350 enodes
10.566 * * [simplify]: iteration complete: 5000 enodes
10.566 * * [simplify]: Extracting #0: cost 24 inf + 0
10.568 * * [simplify]: Extracting #1: cost 1012 inf + 3
10.572 * * [simplify]: Extracting #2: cost 1358 inf + 12
10.577 * * [simplify]: Extracting #3: cost 1422 inf + 61
10.583 * * [simplify]: Extracting #4: cost 1369 inf + 220
10.588 * * [simplify]: Extracting #5: cost 1324 inf + 377
10.593 * * [simplify]: Extracting #6: cost 1169 inf + 3072
10.598 * * [simplify]: Extracting #7: cost 490 inf + 17770
10.606 * * [simplify]: Extracting #8: cost 3 inf + 28867
10.614 * * [simplify]: Extracting #9: cost 0 inf + 28940
10.623 * [simplify]: Simplified to:
  (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 (+ 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))))))
  (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 (+ 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
  1
  2
  1
  1
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 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 (+ 1 (* N (+ 1.0 N)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (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)))))
  1
  (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)))))
  1
  (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)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1
  2
  1
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 4 1))
  (* (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 (+ 1 (* N (+ 1.0 N)))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (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 (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (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)))))
  (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))))
  (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))))
10.624 * * * [progress]: adding candidates to table
11.003 * * [progress]: iteration 4 / 4
11.003 * * * [progress]: picking best candidate
11.035 * * * * [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 (+ (* N (+ N 1.0)) 1))))))>
11.036 * * * [progress]: localizing error
11.097 * * * [progress]: generating rewritten candidates
11.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
11.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
11.098 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
11.099 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1)
11.100 * * * [progress]: generating series expansions
11.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
11.100 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.100 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) in (N) around 0
11.100 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) in N
11.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) in N
11.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) in N
11.100 * [taylor]: Taking taylor expansion of 1/3 in N
11.100 * [backup-simplify]: Simplify 1/3 into 1/3
11.100 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.100 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.100 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.101 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.101 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))
11.101 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.101 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) in N
11.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) in N
11.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) in N
11.101 * [taylor]: Taking taylor expansion of 1/3 in N
11.101 * [backup-simplify]: Simplify 1/3 into 1/3
11.101 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.101 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.101 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.101 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.102 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))
11.102 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.102 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 1) into 0
11.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.104 * [backup-simplify]: Simplify 0 into 0
11.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 2) into 0
11.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))) into 0
11.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 6) into 0
11.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))) into 0
11.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.112 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 24) into 0
11.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))) into 0
11.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (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
11.118 * [backup-simplify]: Simplify 0 into 0
11.123 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 120) into 0
11.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))))) into 0
11.127 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (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
11.127 * [backup-simplify]: Simplify 0 into 0
11.135 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 720) into 0
11.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))))) into 0
11.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (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
11.140 * [backup-simplify]: Simplify 0 into 0
11.140 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.141 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ 1 (* (/ 1 N) (+ 1.0 (/ 1 N)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.141 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) in (N) around 0
11.141 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) in N
11.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) in N
11.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N
11.141 * [taylor]: Taking taylor expansion of 1/3 in N
11.141 * [backup-simplify]: Simplify 1/3 into 1/3
11.141 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.141 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.141 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.141 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.141 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))
11.142 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.142 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) in N
11.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) in N
11.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N
11.142 * [taylor]: Taking taylor expansion of 1/3 in N
11.142 * [backup-simplify]: Simplify 1/3 into 1/3
11.142 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.142 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.142 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.142 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.142 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))
11.143 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.143 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 1) into 0
11.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.145 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.145 * [backup-simplify]: Simplify 0 into 0
11.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 2) into 0
11.147 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))) into 0
11.148 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.148 * [backup-simplify]: Simplify 0 into 0
11.150 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 6) into 0
11.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))) into 0
11.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.154 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 24) into 0
11.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))))) into 0
11.161 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 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
11.161 * [backup-simplify]: Simplify 0 into 0
11.166 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 120) into 0
11.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))))) into 0
11.170 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 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
11.170 * [backup-simplify]: Simplify 0 into 0
11.179 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 720) into 0
11.181 * [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)) (+ (* 1.0 (/ 1 N)) 1))))))))))) into 0
11.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 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
11.185 * [backup-simplify]: Simplify 0 into 0
11.185 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.185 * [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)
11.185 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0
11.185 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
11.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
11.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
11.185 * [taylor]: Taking taylor expansion of 1/3 in N
11.186 * [backup-simplify]: Simplify 1/3 into 1/3
11.186 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.186 * [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))))
11.186 * [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)))))
11.186 * [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))))))
11.186 * [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)
11.186 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
11.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
11.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
11.186 * [taylor]: Taking taylor expansion of 1/3 in N
11.186 * [backup-simplify]: Simplify 1/3 into 1/3
11.186 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.187 * [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))))
11.187 * [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)))))
11.187 * [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))))))
11.187 * [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)
11.187 * [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)
11.188 * [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
11.189 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.189 * [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
11.189 * [backup-simplify]: Simplify 0 into 0
11.191 * [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
11.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
11.193 * [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
11.193 * [backup-simplify]: Simplify 0 into 0
11.195 * [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
11.196 * [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
11.197 * [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
11.197 * [backup-simplify]: Simplify 0 into 0
11.201 * [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
11.202 * [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
11.204 * [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
11.204 * [backup-simplify]: Simplify 0 into 0
11.209 * [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
11.211 * [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
11.213 * [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
11.213 * [backup-simplify]: Simplify 0 into 0
11.222 * [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
11.223 * [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
11.226 * [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
11.227 * [backup-simplify]: Simplify 0 into 0
11.227 * [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 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
11.227 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.227 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) in (N) around 0
11.227 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) in N
11.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) in N
11.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) in N
11.227 * [taylor]: Taking taylor expansion of 1/3 in N
11.227 * [backup-simplify]: Simplify 1/3 into 1/3
11.227 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.227 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.228 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.228 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.228 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))
11.228 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.228 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) in N
11.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) in N
11.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) in N
11.228 * [taylor]: Taking taylor expansion of 1/3 in N
11.228 * [backup-simplify]: Simplify 1/3 into 1/3
11.228 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.228 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.228 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.229 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.229 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))
11.229 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.229 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 1) into 0
11.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.231 * [backup-simplify]: Simplify 0 into 0
11.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 2) into 0
11.233 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))) into 0
11.234 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.234 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 6) into 0
11.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))) into 0
11.238 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.238 * [backup-simplify]: Simplify 0 into 0
11.243 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 24) into 0
11.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))) into 0
11.246 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (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
11.246 * [backup-simplify]: Simplify 0 into 0
11.251 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 120) into 0
11.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))))) into 0
11.255 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (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
11.255 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 720) into 0
11.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))))) into 0
11.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 N) (+ (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
11.268 * [backup-simplify]: Simplify 0 into 0
11.269 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.269 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.269 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) in (N) around 0
11.269 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) in N
11.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) in N
11.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N
11.269 * [taylor]: Taking taylor expansion of 1/3 in N
11.269 * [backup-simplify]: Simplify 1/3 into 1/3
11.269 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.269 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.269 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.269 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.270 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))
11.270 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.270 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) in N
11.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) in N
11.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N
11.270 * [taylor]: Taking taylor expansion of 1/3 in N
11.270 * [backup-simplify]: Simplify 1/3 into 1/3
11.270 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.270 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.270 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.270 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.271 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))
11.271 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.271 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/3)
11.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 1) into 0
11.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.273 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.273 * [backup-simplify]: Simplify 0 into 0
11.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 2) into 0
11.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))) into 0
11.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.276 * [backup-simplify]: Simplify 0 into 0
11.278 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 6) into 0
11.279 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))) into 0
11.281 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.281 * [backup-simplify]: Simplify 0 into 0
11.284 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 24) into 0
11.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))))) into 0
11.287 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 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
11.287 * [backup-simplify]: Simplify 0 into 0
11.293 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 120) into 0
11.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))))) into 0
11.296 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 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
11.296 * [backup-simplify]: Simplify 0 into 0
11.305 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 720) into 0
11.307 * [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)) (+ (* 1.0 (/ 1 N)) 1))))))))))) into 0
11.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 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
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify (pow (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) 1/3) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.310 * [backup-simplify]: Simplify (cbrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)
11.310 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0
11.310 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
11.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
11.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
11.310 * [taylor]: Taking taylor expansion of 1/3 in N
11.310 * [backup-simplify]: Simplify 1/3 into 1/3
11.311 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.311 * [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))))
11.311 * [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)))))
11.311 * [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))))))
11.311 * [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)
11.311 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N
11.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
11.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
11.311 * [taylor]: Taking taylor expansion of 1/3 in N
11.311 * [backup-simplify]: Simplify 1/3 into 1/3
11.311 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.312 * [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))))
11.312 * [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)))))
11.312 * [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))))))
11.312 * [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)
11.312 * [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)
11.313 * [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
11.314 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.314 * [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
11.314 * [backup-simplify]: Simplify 0 into 0
11.316 * [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
11.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
11.317 * [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
11.317 * [backup-simplify]: Simplify 0 into 0
11.320 * [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
11.320 * [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
11.322 * [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
11.322 * [backup-simplify]: Simplify 0 into 0
11.325 * [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
11.326 * [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
11.330 * [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
11.330 * [backup-simplify]: Simplify 0 into 0
11.336 * [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
11.337 * [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
11.339 * [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
11.339 * [backup-simplify]: Simplify 0 into 0
11.348 * [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
11.350 * [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
11.353 * [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
11.353 * [backup-simplify]: Simplify 0 into 0
11.353 * [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 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
11.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
11.354 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.354 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
11.354 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.354 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.354 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.354 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.354 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.354 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.354 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.355 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.355 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.355 * [backup-simplify]: Simplify 0 into 0
11.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.356 * [backup-simplify]: Simplify 0 into 0
11.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.356 * [backup-simplify]: Simplify 0 into 0
11.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.357 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.358 * [backup-simplify]: Simplify 0 into 0
11.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.359 * [backup-simplify]: Simplify 0 into 0
11.359 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.359 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (/ 1 N) (+ 1.0 (/ 1 N)))))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.359 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
11.359 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.359 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.359 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.360 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.360 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.360 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.360 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.360 * [backup-simplify]: Simplify 0 into 0
11.361 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.361 * [backup-simplify]: Simplify 0 into 0
11.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.362 * [backup-simplify]: Simplify 0 into 0
11.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.363 * [backup-simplify]: Simplify 0 into 0
11.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.363 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.364 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.365 * [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)))))
11.365 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
11.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.365 * [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))))
11.365 * [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)))))
11.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.365 * [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))))
11.366 * [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)))))
11.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.366 * [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)))))
11.366 * [backup-simplify]: Simplify 0 into 0
11.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.367 * [backup-simplify]: Simplify 0 into 0
11.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.367 * [backup-simplify]: Simplify 0 into 0
11.368 * [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
11.368 * [backup-simplify]: Simplify 0 into 0
11.369 * [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
11.369 * [backup-simplify]: Simplify 0 into 0
11.369 * [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
11.370 * [backup-simplify]: Simplify 0 into 0
11.370 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1)
11.370 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.370 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
11.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.371 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (/ 1 N) (+ 1.0 (/ 1 N))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.371 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
11.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.371 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.371 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.372 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.372 * [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))))
11.372 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
11.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.372 * [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))))
11.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.372 * [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))))
11.373 * [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))))
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.373 * * * [progress]: simplifying candidates
11.374 * [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 (+ (* N (+ N 1.0)) 1))))
  (exp (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt 1)
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (cbrt (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))))))
  (* (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 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/3)
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.374 * * [simplify]: iteration 0: 56 enodes
11.384 * * [simplify]: iteration 1: 94 enodes
11.398 * * [simplify]: iteration 2: 343 enodes
11.498 * * [simplify]: iteration 3: 1367 enodes
13.761 * * [simplify]: iteration complete: 5001 enodes
13.761 * * [simplify]: Extracting #0: cost 22 inf + 0
13.763 * * [simplify]: Extracting #1: cost 791 inf + 2
13.766 * * [simplify]: Extracting #2: cost 1436 inf + 10
13.772 * * [simplify]: Extracting #3: cost 1578 inf + 88
13.777 * * [simplify]: Extracting #4: cost 1467 inf + 435
13.785 * * [simplify]: Extracting #5: cost 1162 inf + 4612
13.790 * * [simplify]: Extracting #6: cost 271 inf + 30245
13.795 * * [simplify]: Extracting #7: cost 2 inf + 35153
13.800 * * [simplify]: Extracting #8: cost 0 inf + 34065
13.805 * * [simplify]: Extracting #9: cost 0 inf + 34059
13.810 * [simplify]: Simplified to:
  (log (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 2/3))
  (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  1
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (log (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 2/3))
  (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  1
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (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 (+ (* N (+ N 1.0)) 1))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (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 (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 2/3)
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (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)))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
13.810 * * * [progress]: adding candidates to table
14.053 * [progress]: [Phase 3 of 3] Extracting.
14.053 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (* (* (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))) (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)))>)
14.055 * * * [regime-changes]: Trying 1 branch expressions: (N)
14.055 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (* (* (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (cbrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))) (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)))>)
14.124 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
14.124 * [simplify]: Simplifying:
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
14.124 * * [simplify]: iteration 0: 7 enodes
14.127 * * [simplify]: iteration 1: 12 enodes
14.128 * * [simplify]: iteration complete: 12 enodes
14.128 * * [simplify]: Extracting #0: cost 1 inf + 0
14.128 * * [simplify]: Extracting #1: cost 3 inf + 0
14.128 * * [simplify]: Extracting #2: cost 4 inf + 1
14.128 * * [simplify]: Extracting #3: cost 5 inf + 2
14.128 * * [simplify]: Extracting #4: cost 0 inf + 27
14.128 * [simplify]: Simplified to:
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
16.554 * [regime-testing]: Baseline error score: 0.3124338904324298
16.569 * [regime-testing]: Oracle error score: 0.2744291398386057
16.598 * [regime-testing]: End program error score: 0.3124338904324298
16.686 * [regime-testing]: Target error score: 0.3151842342254039