17.540 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.050 * [progress]: [Phase 2 of 3] Improving.
0.051 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.051 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 1.0)) (atan h0))
0.066 * * [progress]: iteration 1 / 4
0.066 * * * [progress]: picking best candidate
0.068 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.068 * * * [progress]: localizing error
0.077 * * * [progress]: generating rewritten candidates
0.077 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.089 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.092 * * * [progress]: generating series expansions
0.092 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.092 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.092 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.092 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.092 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.093 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.093 * [taylor]: Taking taylor expansion of (atan N) in N
0.093 * [backup-simplify]: Simplify (atan N) into (atan N)
0.093 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.093 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.093 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.093 * [taylor]: Taking taylor expansion of (atan N) in N
0.093 * [backup-simplify]: Simplify (atan N) into (atan N)
0.093 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.093 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.093 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- 0) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.099 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.099 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.099 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.099 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.099 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.099 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.099 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.099 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.099 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.099 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.100 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.100 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.100 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.100 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- 0) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- 0) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (- 0) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.105 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.105 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.105 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.105 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.105 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.106 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.106 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.106 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.106 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.106 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.106 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.106 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.106 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.106 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.107 * [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
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [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 (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [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 (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.112 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.112 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.112 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.112 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.112 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.113 * [backup-simplify]: Simplify 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 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.113 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.113 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.114 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.115 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
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 (- 1.0 (/ 1 N))) in N
0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.115 * [backup-simplify]: Simplify 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 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.116 * * * [progress]: simplifying candidates
0.117 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.117 * [simplify]: Sending expressions to egg_math:
 (- (+ h0 1.0) h0)
 (+ 1 (* (+ h0 1.0) h0))
 (/ (exp (atan (+ h0 1.0))) (exp (atan h0)))
 (log (- (atan (+ h0 1.0)) (atan h0)))
 (exp (- (atan (+ h0 1.0)) (atan h0)))
 (* (cbrt (- (atan (+ h0 1.0)) (atan h0))) (cbrt (- (atan (+ h0 1.0)) (atan h0))))
 (cbrt (- (atan (+ h0 1.0)) (atan h0)))
 (* (* (- (atan (+ h0 1.0)) (atan h0)) (- (atan (+ h0 1.0)) (atan h0))) (- (atan (+ h0 1.0)) (atan h0)))
 (sqrt (- (atan (+ h0 1.0)) (atan h0)))
 (sqrt (- (atan (+ h0 1.0)) (atan h0)))
 (- (pow (atan (+ h0 1.0)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 1.0)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 1.0)) (atan h0))
 (+ (sqrt (atan (+ h0 1.0))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 1.0))) (sqrt (atan h0)))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan h0))
 (log (atan (+ h0 1.0)))
 (exp (atan (+ h0 1.0)))
 (* (cbrt (atan (+ h0 1.0))) (cbrt (atan (+ h0 1.0))))
 (cbrt (atan (+ h0 1.0)))
 (* (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (atan (+ h0 1.0)))
 (sqrt (atan (+ h0 1.0)))
 (sqrt (atan (+ h0 1.0)))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
 (atan (+ h0 1.0))
 (atan (+ h0 1.0))
 (atan (+ h0 1.0))
1.271 * * * [progress]: adding candidates to table
1.330 * * [progress]: iteration 2 / 4
1.330 * * * [progress]: picking best candidate
1.331 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.331 * * * [progress]: localizing error
1.338 * * * [progress]: generating rewritten candidates
1.338 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
1.339 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2)
1.361 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
1.369 * * * [progress]: generating series expansions
1.369 * * * * [progress]: [ 1 / 3 ] generating series at (2)
1.369 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.369 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.369 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.369 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.370 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.370 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.370 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.371 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.371 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.371 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.371 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.372 * [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))))
1.372 * [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))))
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.372 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2)
1.372 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
1.372 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
1.372 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.372 * [taylor]: Taking taylor expansion of N in N
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 1 into 1
1.372 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.372 * [taylor]: Taking taylor expansion of N in N
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of 1.0 in N
1.373 * [backup-simplify]: Simplify 1.0 into 1.0
1.373 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.373 * [taylor]: Taking taylor expansion of N in N
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.373 * [taylor]: Taking taylor expansion of N in N
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of 1.0 in N
1.373 * [backup-simplify]: Simplify 1.0 into 1.0
1.373 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.373 * [backup-simplify]: Simplify (* 0 1.0) into 0
1.373 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify (+ 1 0) into 1
1.375 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
1.375 * [backup-simplify]: Simplify 1.0 into 1.0
1.375 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
1.379 * [backup-simplify]: Simplify 1 into 1
1.380 * [backup-simplify]: Simplify (+ 0 0) into 0
1.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify (+ 0 0) into 0
1.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
1.382 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify (+ 0 0) into 0
1.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
1.384 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify (+ 0 0) into 0
1.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
1.387 * [backup-simplify]: Simplify 0 into 0
1.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
1.389 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify (+ 0 0) into 0
1.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
1.392 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
1.392 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
1.392 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
1.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.393 * [taylor]: Taking taylor expansion of N in N
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify 1 into 1
1.393 * [backup-simplify]: Simplify (/ 1 1) into 1
1.393 * [taylor]: Taking taylor expansion of 1.0 in N
1.393 * [backup-simplify]: Simplify 1.0 into 1.0
1.393 * [taylor]: Taking taylor expansion of N in N
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify 1 into 1
1.394 * [backup-simplify]: Simplify (+ 1 0) into 1
1.394 * [backup-simplify]: Simplify (/ 1 1) into 1
1.394 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.394 * [taylor]: Taking taylor expansion of N in N
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 1 into 1
1.395 * [backup-simplify]: Simplify (/ 1 1) into 1
1.395 * [taylor]: Taking taylor expansion of 1.0 in N
1.395 * [backup-simplify]: Simplify 1.0 into 1.0
1.395 * [taylor]: Taking taylor expansion of N in N
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 1 into 1
1.395 * [backup-simplify]: Simplify (+ 1 0) into 1
1.396 * [backup-simplify]: Simplify (/ 1 1) into 1
1.396 * [backup-simplify]: Simplify 1 into 1
1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.397 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.398 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
1.398 * [backup-simplify]: Simplify 1.0 into 1.0
1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.399 * [backup-simplify]: Simplify (+ 0 0) into 0
1.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.400 * [backup-simplify]: Simplify (+ 0 0) into 0
1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.401 * [backup-simplify]: Simplify 0 into 0
1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.402 * [backup-simplify]: Simplify (+ 0 0) into 0
1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.402 * [backup-simplify]: Simplify 0 into 0
1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.403 * [backup-simplify]: Simplify (+ 0 0) into 0
1.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.404 * [backup-simplify]: Simplify 0 into 0
1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.405 * [backup-simplify]: Simplify (+ 0 0) into 0
1.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.406 * [backup-simplify]: Simplify (+ 0 0) into 0
1.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
1.407 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
1.407 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
1.407 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.407 * [taylor]: Taking taylor expansion of -1 in N
1.407 * [backup-simplify]: Simplify -1 into -1
1.407 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.408 * [taylor]: Taking taylor expansion of 1.0 in N
1.408 * [backup-simplify]: Simplify 1.0 into 1.0
1.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.408 * [taylor]: Taking taylor expansion of N in N
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 1 into 1
1.408 * [backup-simplify]: Simplify (/ 1 1) into 1
1.408 * [taylor]: Taking taylor expansion of N in N
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 1 into 1
1.408 * [backup-simplify]: Simplify (- 1) into -1
1.408 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.409 * [backup-simplify]: Simplify (/ -1 1) into -1
1.409 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.409 * [taylor]: Taking taylor expansion of -1 in N
1.409 * [backup-simplify]: Simplify -1 into -1
1.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.409 * [taylor]: Taking taylor expansion of 1.0 in N
1.409 * [backup-simplify]: Simplify 1.0 into 1.0
1.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.409 * [taylor]: Taking taylor expansion of N in N
1.409 * [backup-simplify]: Simplify 0 into 0
1.409 * [backup-simplify]: Simplify 1 into 1
1.409 * [backup-simplify]: Simplify (/ 1 1) into 1
1.409 * [taylor]: Taking taylor expansion of N in N
1.409 * [backup-simplify]: Simplify 0 into 0
1.409 * [backup-simplify]: Simplify 1 into 1
1.409 * [backup-simplify]: Simplify (- 1) into -1
1.410 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.410 * [backup-simplify]: Simplify (/ -1 1) into -1
1.410 * [backup-simplify]: Simplify (* -1 -1) into 1
1.410 * [backup-simplify]: Simplify 1 into 1
1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.411 * [backup-simplify]: Simplify (- 0) into 0
1.411 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.412 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
1.413 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
1.413 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.414 * [backup-simplify]: Simplify (- 0) into 0
1.414 * [backup-simplify]: Simplify (+ 0 0) into 0
1.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
1.416 * [backup-simplify]: Simplify 0 into 0
1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (- 0) into 0
1.417 * [backup-simplify]: Simplify (+ 0 0) into 0
1.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.419 * [backup-simplify]: Simplify (- 0) into 0
1.419 * [backup-simplify]: Simplify (+ 0 0) into 0
1.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.421 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.422 * [backup-simplify]: Simplify (- 0) into 0
1.422 * [backup-simplify]: Simplify (+ 0 0) into 0
1.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
1.424 * [backup-simplify]: Simplify 0 into 0
1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.425 * [backup-simplify]: Simplify (- 0) into 0
1.425 * [backup-simplify]: Simplify (+ 0 0) into 0
1.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
1.428 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.430 * [backup-simplify]: Simplify (- 0) into 0
1.430 * [backup-simplify]: Simplify (+ 0 0) into 0
1.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
1.435 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
1.435 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (pow N 2) (+ (* 1.0 N) 1))
1.435 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0
1.435 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N
1.435 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.435 * [taylor]: Taking taylor expansion of N in N
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 1 into 1
1.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N
1.435 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
1.435 * [taylor]: Taking taylor expansion of 1.0 in N
1.435 * [backup-simplify]: Simplify 1.0 into 1.0
1.435 * [taylor]: Taking taylor expansion of N in N
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 1 into 1
1.435 * [taylor]: Taking taylor expansion of 1 in N
1.435 * [backup-simplify]: Simplify 1 into 1
1.435 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N
1.435 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.435 * [taylor]: Taking taylor expansion of N in N
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 1 into 1
1.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N
1.435 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
1.435 * [taylor]: Taking taylor expansion of 1.0 in N
1.435 * [backup-simplify]: Simplify 1.0 into 1.0
1.436 * [taylor]: Taking taylor expansion of N in N
1.436 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify 1 into 1
1.436 * [taylor]: Taking taylor expansion of 1 in N
1.436 * [backup-simplify]: Simplify 1 into 1
1.436 * [backup-simplify]: Simplify (* 1.0 0) into 0
1.437 * [backup-simplify]: Simplify (+ 0 1) into 1
1.437 * [backup-simplify]: Simplify (+ 0 1) into 1
1.437 * [backup-simplify]: Simplify 1 into 1
1.438 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
1.439 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.440 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.440 * [backup-simplify]: Simplify 1.0 into 1.0
1.440 * [backup-simplify]: Simplify (* 1 1) into 1
1.441 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
1.441 * [backup-simplify]: Simplify (+ 0 0) into 0
1.441 * [backup-simplify]: Simplify (+ 1 0) into 1
1.441 * [backup-simplify]: Simplify 1 into 1
1.442 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1))
1.442 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))
1.442 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0
1.442 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N
1.442 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
1.442 * [taylor]: Taking taylor expansion of 1.0 in N
1.442 * [backup-simplify]: Simplify 1.0 into 1.0
1.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.442 * [taylor]: Taking taylor expansion of N in N
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 1 into 1
1.442 * [backup-simplify]: Simplify (/ 1 1) into 1
1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.442 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.442 * [taylor]: Taking taylor expansion of N in N
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 1 into 1
1.442 * [backup-simplify]: Simplify (* 1 1) into 1
1.443 * [backup-simplify]: Simplify (/ 1 1) into 1
1.443 * [taylor]: Taking taylor expansion of 1 in N
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N
1.443 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
1.443 * [taylor]: Taking taylor expansion of 1.0 in N
1.443 * [backup-simplify]: Simplify 1.0 into 1.0
1.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.443 * [taylor]: Taking taylor expansion of N in N
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [backup-simplify]: Simplify (/ 1 1) into 1
1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.443 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.443 * [taylor]: Taking taylor expansion of N in N
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [backup-simplify]: Simplify (* 1 1) into 1
1.444 * [backup-simplify]: Simplify (/ 1 1) into 1
1.444 * [taylor]: Taking taylor expansion of 1 in N
1.444 * [backup-simplify]: Simplify 1 into 1
1.444 * [backup-simplify]: Simplify (+ 1 0) into 1
1.444 * [backup-simplify]: Simplify (+ 0 1) into 1
1.444 * [backup-simplify]: Simplify 1 into 1
1.444 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.446 * [backup-simplify]: Simplify (+ 0 0) into 0
1.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.446 * [backup-simplify]: Simplify 1.0 into 1.0
1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.447 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.448 * [backup-simplify]: Simplify (+ 0 1) into 1
1.448 * [backup-simplify]: Simplify (+ 0 1) into 1
1.448 * [backup-simplify]: Simplify 1 into 1
1.448 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
1.449 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))
1.449 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0
1.449 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.449 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.449 * [taylor]: Taking taylor expansion of N in N
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 1 into 1
1.449 * [backup-simplify]: Simplify (* 1 1) into 1
1.449 * [backup-simplify]: Simplify (/ 1 1) into 1
1.449 * [taylor]: Taking taylor expansion of 1 in N
1.449 * [backup-simplify]: Simplify 1 into 1
1.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
1.449 * [taylor]: Taking taylor expansion of 1.0 in N
1.449 * [backup-simplify]: Simplify 1.0 into 1.0
1.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.449 * [taylor]: Taking taylor expansion of N in N
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 1 into 1
1.450 * [backup-simplify]: Simplify (/ 1 1) into 1
1.450 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.450 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.450 * [taylor]: Taking taylor expansion of N in N
1.450 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify 1 into 1
1.450 * [backup-simplify]: Simplify (* 1 1) into 1
1.450 * [backup-simplify]: Simplify (/ 1 1) into 1
1.450 * [taylor]: Taking taylor expansion of 1 in N
1.450 * [backup-simplify]: Simplify 1 into 1
1.450 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
1.450 * [taylor]: Taking taylor expansion of 1.0 in N
1.450 * [backup-simplify]: Simplify 1.0 into 1.0
1.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.450 * [taylor]: Taking taylor expansion of N in N
1.450 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify 1 into 1
1.451 * [backup-simplify]: Simplify (/ 1 1) into 1
1.451 * [backup-simplify]: Simplify (+ 1 0) into 1
1.451 * [backup-simplify]: Simplify (+ 1 0) into 1
1.451 * [backup-simplify]: Simplify 1 into 1
1.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.452 * [backup-simplify]: Simplify (+ 0 0) into 0
1.452 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
1.453 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.453 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
1.453 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.455 * [backup-simplify]: Simplify (+ 0 1) into 1
1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.455 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
1.456 * [backup-simplify]: Simplify (- 0) into 0
1.456 * [backup-simplify]: Simplify (+ 1 0) into 1
1.456 * [backup-simplify]: Simplify 1 into 1
1.456 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1))
1.457 * * * [progress]: simplifying candidates
1.457 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (* (exp 1) (exp (* (+ N 1.0) N)))
  (log (+ 1 (* (+ N 1.0) N)))
  (exp (+ 1 (* (+ N 1.0) N)))
  (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))
  (cbrt (+ 1 (* (+ N 1.0) N)))
  (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))
  (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))
  (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))
  (- 1 (* (+ N 1.0) N))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
  (+ (pow N 2) (+ (* 1.0 N) 1))
1.457 * [simplify]: Sending expressions to egg_math:
 (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (+ h0 1.0) h0)
 (+ (log (+ h0 1.0)) (log h0))
 (log (* (+ h0 1.0) h0))
 (exp (* (+ h0 1.0) h0))
 (* (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0)) (* (* h0 h0) h0))
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))
 (cbrt (* (+ h0 1.0) h0))
 (* (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0)) (* (+ h0 1.0) h0))
 (sqrt (* (+ h0 1.0) h0))
 (sqrt (* (+ h0 1.0) h0))
 (* (sqrt (+ h0 1.0)) (sqrt h0))
 (* (sqrt (+ h0 1.0)) (sqrt h0))
 (* (+ h0 1.0) (* (cbrt h0) (cbrt h0)))
 (* (+ h0 1.0) (sqrt h0))
 (* (+ h0 1.0) 1)
 (* (cbrt (+ h0 1.0)) h0)
 (* (sqrt (+ h0 1.0)) h0)
 (* (+ h0 1.0) h0)
 (* (+ h0 1.0) h0)
 (* (+ (pow h0 3) (pow 1.0 3)) h0)
 (* (- (* h0 h0) (* 1.0 1.0)) h0)
 (* (exp 1) (exp (* (+ h0 1.0) h0)))
 (log (+ 1 (* (+ h0 1.0) h0)))
 (exp (+ 1 (* (+ h0 1.0) h0)))
 (* (cbrt (+ 1 (* (+ h0 1.0) h0))) (cbrt (+ 1 (* (+ h0 1.0) h0))))
 (cbrt (+ 1 (* (+ h0 1.0) h0)))
 (* (* (+ 1 (* (+ h0 1.0) h0)) (+ 1 (* (+ h0 1.0) h0))) (+ 1 (* (+ h0 1.0) h0)))
 (sqrt (+ 1 (* (+ h0 1.0) h0)))
 (sqrt (+ 1 (* (+ h0 1.0) h0)))
 (+ (pow 1 3) (pow (* (+ h0 1.0) h0) 3))
 (+ (* 1 1) (- (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0)) (* 1 (* (+ h0 1.0) h0))))
 (- (* 1 1) (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0)))
 (- 1 (* (+ h0 1.0) h0))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (+ (pow h0 2) (* 1.0 h0))
 (+ (pow h0 2) (* 1.0 h0))
 (+ (pow h0 2) (* 1.0 h0))
 (+ (pow h0 2) (+ (* 1.0 h0) 1))
 (+ (pow h0 2) (+ (* 1.0 h0) 1))
 (+ (pow h0 2) (+ (* 1.0 h0) 1))
2.794 * * * [progress]: adding candidates to table
2.908 * * [progress]: iteration 3 / 4
2.908 * * * [progress]: picking best candidate
2.919 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))>
2.919 * * * [progress]: localizing error
2.937 * * * [progress]: generating rewritten candidates
2.938 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
2.952 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
2.960 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
2.972 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
2.997 * * * [progress]: generating series expansions
2.998 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
2.998 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
2.998 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
2.998 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.998 * [taylor]: Taking taylor expansion of 1/3 in N
2.998 * [backup-simplify]: Simplify 1/3 into 1/3
2.998 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.998 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.998 * [taylor]: Taking taylor expansion of N in N
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.998 * [taylor]: Taking taylor expansion of N in N
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [taylor]: Taking taylor expansion of 1.0 in N
2.998 * [backup-simplify]: Simplify 1.0 into 1.0
2.999 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.999 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.999 * [backup-simplify]: Simplify (+ 1 0) into 1
3.000 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.000 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.001 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.001 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.001 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.001 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.001 * [taylor]: Taking taylor expansion of 1/3 in N
3.002 * [backup-simplify]: Simplify 1/3 into 1/3
3.002 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.002 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.002 * [taylor]: Taking taylor expansion of N in N
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [backup-simplify]: Simplify 1 into 1
3.002 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.002 * [taylor]: Taking taylor expansion of N in N
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [backup-simplify]: Simplify 1 into 1
3.002 * [taylor]: Taking taylor expansion of 1.0 in N
3.002 * [backup-simplify]: Simplify 1.0 into 1.0
3.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.002 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.002 * [backup-simplify]: Simplify (+ 1 0) into 1
3.003 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.004 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.004 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.004 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.005 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.005 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.013 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.014 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.017 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.018 * [backup-simplify]: Simplify (+ 0 0) into 0
3.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.024 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
3.025 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.027 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
3.033 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.039 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
3.039 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.039 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.039 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.039 * [taylor]: Taking taylor expansion of 1/3 in N
3.039 * [backup-simplify]: Simplify 1/3 into 1/3
3.039 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.039 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.039 * [taylor]: Taking taylor expansion of N in N
3.039 * [backup-simplify]: Simplify 0 into 0
3.039 * [backup-simplify]: Simplify 1 into 1
3.040 * [backup-simplify]: Simplify (/ 1 1) into 1
3.040 * [taylor]: Taking taylor expansion of 1.0 in N
3.040 * [backup-simplify]: Simplify 1.0 into 1.0
3.040 * [taylor]: Taking taylor expansion of N in N
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [backup-simplify]: Simplify 1 into 1
3.040 * [backup-simplify]: Simplify (+ 1 0) into 1
3.040 * [backup-simplify]: Simplify (/ 1 1) into 1
3.040 * [backup-simplify]: Simplify (log 1) into 0
3.041 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.041 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.041 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.041 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.041 * [taylor]: Taking taylor expansion of 1/3 in N
3.041 * [backup-simplify]: Simplify 1/3 into 1/3
3.041 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.041 * [taylor]: Taking taylor expansion of N in N
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.041 * [backup-simplify]: Simplify (/ 1 1) into 1
3.041 * [taylor]: Taking taylor expansion of 1.0 in N
3.041 * [backup-simplify]: Simplify 1.0 into 1.0
3.041 * [taylor]: Taking taylor expansion of N in N
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (+ 1 0) into 1
3.042 * [backup-simplify]: Simplify (/ 1 1) into 1
3.042 * [backup-simplify]: Simplify (log 1) into 0
3.042 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.042 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.043 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.043 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.044 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.048 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.049 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.050 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.050 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (+ 0 0) into 0
3.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
3.062 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.062 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.065 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.066 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.066 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
3.066 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3))
3.066 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0
3.066 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N
3.066 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.066 * [taylor]: Taking taylor expansion of -1 in N
3.066 * [backup-simplify]: Simplify -1 into -1
3.067 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.067 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.067 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.067 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.067 * [taylor]: Taking taylor expansion of 1/3 in N
3.067 * [backup-simplify]: Simplify 1/3 into 1/3
3.067 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.067 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.068 * [taylor]: Taking taylor expansion of 1.0 in N
3.068 * [backup-simplify]: Simplify 1.0 into 1.0
3.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.068 * [taylor]: Taking taylor expansion of N in N
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (/ 1 1) into 1
3.068 * [taylor]: Taking taylor expansion of N in N
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (- 1) into -1
3.068 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.069 * [backup-simplify]: Simplify (/ -1 1) into -1
3.069 * [backup-simplify]: Simplify (log -1) into (log -1)
3.070 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.070 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.071 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.071 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N
3.071 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.071 * [taylor]: Taking taylor expansion of -1 in N
3.071 * [backup-simplify]: Simplify -1 into -1
3.071 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.072 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.072 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.072 * [taylor]: Taking taylor expansion of 1/3 in N
3.072 * [backup-simplify]: Simplify 1/3 into 1/3
3.072 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.072 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.072 * [taylor]: Taking taylor expansion of 1.0 in N
3.072 * [backup-simplify]: Simplify 1.0 into 1.0
3.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.073 * [taylor]: Taking taylor expansion of N in N
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (/ 1 1) into 1
3.073 * [taylor]: Taking taylor expansion of N in N
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (- 1) into -1
3.074 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.074 * [backup-simplify]: Simplify (/ -1 1) into -1
3.075 * [backup-simplify]: Simplify (log -1) into (log -1)
3.075 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.076 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.076 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.078 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.079 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify (- 0) into 0
3.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.082 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.090 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.091 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.095 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.096 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.097 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (- 0) into 0
3.098 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
3.105 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.106 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.112 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.113 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.116 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
3.116 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
3.116 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.116 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.116 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.116 * [taylor]: Taking taylor expansion of 1/3 in N
3.116 * [backup-simplify]: Simplify 1/3 into 1/3
3.116 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.116 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.116 * [taylor]: Taking taylor expansion of N in N
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.116 * [taylor]: Taking taylor expansion of N in N
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.116 * [taylor]: Taking taylor expansion of 1.0 in N
3.116 * [backup-simplify]: Simplify 1.0 into 1.0
3.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.117 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.117 * [backup-simplify]: Simplify (+ 1 0) into 1
3.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.118 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.119 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.119 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.119 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.119 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.119 * [taylor]: Taking taylor expansion of 1/3 in N
3.119 * [backup-simplify]: Simplify 1/3 into 1/3
3.119 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.119 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.119 * [taylor]: Taking taylor expansion of N in N
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 1 into 1
3.119 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.119 * [taylor]: Taking taylor expansion of N in N
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 1 into 1
3.119 * [taylor]: Taking taylor expansion of 1.0 in N
3.119 * [backup-simplify]: Simplify 1.0 into 1.0
3.120 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.120 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.120 * [backup-simplify]: Simplify (+ 1 0) into 1
3.121 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.122 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.122 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.123 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.123 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.130 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.131 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.133 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.134 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
3.142 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.144 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
3.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.170 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
3.170 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.170 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.170 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.170 * [taylor]: Taking taylor expansion of 1/3 in N
3.170 * [backup-simplify]: Simplify 1/3 into 1/3
3.170 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.170 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.170 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.170 * [taylor]: Taking taylor expansion of N in N
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.171 * [backup-simplify]: Simplify (/ 1 1) into 1
3.171 * [taylor]: Taking taylor expansion of 1.0 in N
3.171 * [backup-simplify]: Simplify 1.0 into 1.0
3.171 * [taylor]: Taking taylor expansion of N in N
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (+ 1 0) into 1
3.172 * [backup-simplify]: Simplify (/ 1 1) into 1
3.172 * [backup-simplify]: Simplify (log 1) into 0
3.173 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.173 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.173 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.173 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.173 * [taylor]: Taking taylor expansion of 1/3 in N
3.173 * [backup-simplify]: Simplify 1/3 into 1/3
3.174 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.174 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.174 * [taylor]: Taking taylor expansion of N in N
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [backup-simplify]: Simplify (/ 1 1) into 1
3.174 * [taylor]: Taking taylor expansion of 1.0 in N
3.174 * [backup-simplify]: Simplify 1.0 into 1.0
3.174 * [taylor]: Taking taylor expansion of N in N
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.175 * [backup-simplify]: Simplify (+ 1 0) into 1
3.175 * [backup-simplify]: Simplify (/ 1 1) into 1
3.176 * [backup-simplify]: Simplify (log 1) into 0
3.176 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.176 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.176 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.177 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.180 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.186 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.186 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.188 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.188 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (+ 0 0) into 0
3.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
3.197 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.198 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.201 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.202 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.202 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
3.203 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3))
3.203 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0
3.203 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N
3.203 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.203 * [taylor]: Taking taylor expansion of -1 in N
3.203 * [backup-simplify]: Simplify -1 into -1
3.203 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.203 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.203 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.203 * [taylor]: Taking taylor expansion of 1/3 in N
3.203 * [backup-simplify]: Simplify 1/3 into 1/3
3.203 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.203 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.204 * [taylor]: Taking taylor expansion of 1.0 in N
3.204 * [backup-simplify]: Simplify 1.0 into 1.0
3.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.204 * [taylor]: Taking taylor expansion of N in N
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 1 into 1
3.204 * [backup-simplify]: Simplify (/ 1 1) into 1
3.204 * [taylor]: Taking taylor expansion of N in N
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 1 into 1
3.204 * [backup-simplify]: Simplify (- 1) into -1
3.204 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.205 * [backup-simplify]: Simplify (/ -1 1) into -1
3.205 * [backup-simplify]: Simplify (log -1) into (log -1)
3.205 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.206 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.206 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.206 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N
3.206 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.206 * [taylor]: Taking taylor expansion of -1 in N
3.206 * [backup-simplify]: Simplify -1 into -1
3.206 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.207 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.207 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.207 * [taylor]: Taking taylor expansion of 1/3 in N
3.207 * [backup-simplify]: Simplify 1/3 into 1/3
3.207 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.207 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.207 * [taylor]: Taking taylor expansion of 1.0 in N
3.207 * [backup-simplify]: Simplify 1.0 into 1.0
3.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.207 * [taylor]: Taking taylor expansion of N in N
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (/ 1 1) into 1
3.207 * [taylor]: Taking taylor expansion of N in N
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (- 1) into -1
3.208 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.208 * [backup-simplify]: Simplify (/ -1 1) into -1
3.208 * [backup-simplify]: Simplify (log -1) into (log -1)
3.209 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.209 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.209 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.210 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.211 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (- 0) into 0
3.212 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.213 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.217 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.218 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.220 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.221 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.221 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.222 * [backup-simplify]: Simplify (- 0) into 0
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
3.230 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.231 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.236 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.241 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.246 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
3.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
3.246 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.246 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.246 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.246 * [taylor]: Taking taylor expansion of 1/3 in N
3.246 * [backup-simplify]: Simplify 1/3 into 1/3
3.246 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.247 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.247 * [taylor]: Taking taylor expansion of N in N
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 1 into 1
3.247 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.247 * [taylor]: Taking taylor expansion of N in N
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 1 into 1
3.247 * [taylor]: Taking taylor expansion of 1.0 in N
3.247 * [backup-simplify]: Simplify 1.0 into 1.0
3.247 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.248 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.248 * [backup-simplify]: Simplify (+ 1 0) into 1
3.250 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.250 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.251 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.251 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.252 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.252 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.252 * [taylor]: Taking taylor expansion of 1/3 in N
3.252 * [backup-simplify]: Simplify 1/3 into 1/3
3.252 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.252 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.252 * [taylor]: Taking taylor expansion of N in N
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.252 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.252 * [taylor]: Taking taylor expansion of N in N
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.252 * [taylor]: Taking taylor expansion of 1.0 in N
3.252 * [backup-simplify]: Simplify 1.0 into 1.0
3.253 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.253 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.254 * [backup-simplify]: Simplify (+ 1 0) into 1
3.255 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.256 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.257 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.257 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.258 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.258 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.266 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.267 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.270 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.270 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.271 * [backup-simplify]: Simplify (+ 0 0) into 0
3.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
3.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.290 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
3.296 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.298 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.301 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
3.301 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.301 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.301 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.301 * [taylor]: Taking taylor expansion of 1/3 in N
3.301 * [backup-simplify]: Simplify 1/3 into 1/3
3.301 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.301 * [taylor]: Taking taylor expansion of N in N
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (/ 1 1) into 1
3.301 * [taylor]: Taking taylor expansion of 1.0 in N
3.301 * [backup-simplify]: Simplify 1.0 into 1.0
3.301 * [taylor]: Taking taylor expansion of N in N
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.302 * [backup-simplify]: Simplify (+ 1 0) into 1
3.302 * [backup-simplify]: Simplify (/ 1 1) into 1
3.302 * [backup-simplify]: Simplify (log 1) into 0
3.302 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.302 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.302 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.302 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.303 * [taylor]: Taking taylor expansion of 1/3 in N
3.303 * [backup-simplify]: Simplify 1/3 into 1/3
3.303 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.303 * [taylor]: Taking taylor expansion of N in N
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 1 into 1
3.303 * [backup-simplify]: Simplify (/ 1 1) into 1
3.303 * [taylor]: Taking taylor expansion of 1.0 in N
3.303 * [backup-simplify]: Simplify 1.0 into 1.0
3.303 * [taylor]: Taking taylor expansion of N in N
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 1 into 1
3.303 * [backup-simplify]: Simplify (+ 1 0) into 1
3.303 * [backup-simplify]: Simplify (/ 1 1) into 1
3.304 * [backup-simplify]: Simplify (log 1) into 0
3.304 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.304 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.304 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.304 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.306 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.310 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.312 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.312 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
3.322 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.323 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.327 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.327 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.328 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
3.328 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3))
3.328 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0
3.328 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N
3.328 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.328 * [taylor]: Taking taylor expansion of -1 in N
3.328 * [backup-simplify]: Simplify -1 into -1
3.328 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.329 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.329 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.329 * [taylor]: Taking taylor expansion of 1/3 in N
3.329 * [backup-simplify]: Simplify 1/3 into 1/3
3.329 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.329 * [taylor]: Taking taylor expansion of 1.0 in N
3.329 * [backup-simplify]: Simplify 1.0 into 1.0
3.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.329 * [taylor]: Taking taylor expansion of N in N
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (/ 1 1) into 1
3.329 * [taylor]: Taking taylor expansion of N in N
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (- 1) into -1
3.330 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.330 * [backup-simplify]: Simplify (/ -1 1) into -1
3.330 * [backup-simplify]: Simplify (log -1) into (log -1)
3.331 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.331 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.331 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.331 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N
3.331 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.331 * [taylor]: Taking taylor expansion of -1 in N
3.331 * [backup-simplify]: Simplify -1 into -1
3.332 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.332 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.332 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.332 * [taylor]: Taking taylor expansion of 1/3 in N
3.332 * [backup-simplify]: Simplify 1/3 into 1/3
3.332 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.332 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.332 * [taylor]: Taking taylor expansion of 1.0 in N
3.332 * [backup-simplify]: Simplify 1.0 into 1.0
3.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.332 * [taylor]: Taking taylor expansion of N in N
3.332 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify 1 into 1
3.332 * [backup-simplify]: Simplify (/ 1 1) into 1
3.333 * [taylor]: Taking taylor expansion of N in N
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.333 * [backup-simplify]: Simplify (- 1) into -1
3.333 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.333 * [backup-simplify]: Simplify (/ -1 1) into -1
3.334 * [backup-simplify]: Simplify (log -1) into (log -1)
3.334 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.334 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.335 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.335 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.336 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.337 * [backup-simplify]: Simplify (- 0) into 0
3.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.338 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.342 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.343 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.345 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.346 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.347 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (- 0) into 0
3.348 * [backup-simplify]: Simplify (+ 0 0) into 0
3.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
3.358 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.359 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.367 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.370 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.371 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.374 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
3.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
3.374 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3)
3.374 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0
3.374 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
3.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
3.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
3.374 * [taylor]: Taking taylor expansion of 1/3 in N
3.374 * [backup-simplify]: Simplify 1/3 into 1/3
3.374 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
3.374 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
3.374 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.374 * [taylor]: Taking taylor expansion of N in N
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify 1 into 1
3.374 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
3.374 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.374 * [taylor]: Taking taylor expansion of N in N
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify 1 into 1
3.374 * [taylor]: Taking taylor expansion of 1.0 in N
3.374 * [backup-simplify]: Simplify 1.0 into 1.0
3.375 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.375 * [backup-simplify]: Simplify (* 1 1) into 1
3.375 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
3.375 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
3.376 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.376 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
3.376 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
3.377 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
3.377 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
3.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
3.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
3.377 * [taylor]: Taking taylor expansion of 1/3 in N
3.377 * [backup-simplify]: Simplify 1/3 into 1/3
3.377 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
3.377 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
3.377 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.377 * [taylor]: Taking taylor expansion of N in N
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
3.377 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.377 * [taylor]: Taking taylor expansion of N in N
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [taylor]: Taking taylor expansion of 1.0 in N
3.377 * [backup-simplify]: Simplify 1.0 into 1.0
3.377 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.378 * [backup-simplify]: Simplify (* 1 1) into 1
3.378 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
3.378 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
3.378 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.379 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
3.379 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
3.380 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
3.380 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
3.380 * [backup-simplify]: Simplify (+ 1 0) into 1
3.387 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
3.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.389 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0
3.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0
3.397 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
3.398 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666
3.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))
3.401 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))
3.402 * [backup-simplify]: Simplify (+ 0 0) into 0
3.403 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1
3.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))
3.417 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
3.420 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))
3.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))))
3.429 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))))
3.432 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2))))
3.432 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3)
3.432 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0
3.432 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
3.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
3.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
3.432 * [taylor]: Taking taylor expansion of 1/3 in N
3.433 * [backup-simplify]: Simplify 1/3 into 1/3
3.433 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
3.433 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
3.433 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.433 * [taylor]: Taking taylor expansion of N in N
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 1 into 1
3.433 * [backup-simplify]: Simplify (/ 1 1) into 1
3.433 * [taylor]: Taking taylor expansion of 1.0 in N
3.433 * [backup-simplify]: Simplify 1.0 into 1.0
3.433 * [backup-simplify]: Simplify (+ 1 0) into 1
3.433 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.433 * [taylor]: Taking taylor expansion of N in N
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 1 into 1
3.434 * [backup-simplify]: Simplify (* 1 1) into 1
3.434 * [backup-simplify]: Simplify (* 1 1) into 1
3.434 * [backup-simplify]: Simplify (/ 1 1) into 1
3.434 * [backup-simplify]: Simplify (log 1) into 0
3.435 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.435 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.435 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.435 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
3.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
3.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
3.435 * [taylor]: Taking taylor expansion of 1/3 in N
3.435 * [backup-simplify]: Simplify 1/3 into 1/3
3.435 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
3.435 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
3.435 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.435 * [taylor]: Taking taylor expansion of N in N
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 1 into 1
3.435 * [backup-simplify]: Simplify (/ 1 1) into 1
3.435 * [taylor]: Taking taylor expansion of 1.0 in N
3.435 * [backup-simplify]: Simplify 1.0 into 1.0
3.435 * [backup-simplify]: Simplify (+ 1 0) into 1
3.436 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.436 * [taylor]: Taking taylor expansion of N in N
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 1 into 1
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.436 * [backup-simplify]: Simplify (/ 1 1) into 1
3.436 * [backup-simplify]: Simplify (log 1) into 0
3.437 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.437 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.437 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.437 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.438 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.439 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.440 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0
3.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0
3.447 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.448 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666
3.450 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
3.451 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0
3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.456 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0
3.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0
3.466 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.466 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
3.470 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))
3.470 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))
3.471 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)))
3.471 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3))
3.471 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0
3.471 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N
3.471 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
3.471 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.471 * [taylor]: Taking taylor expansion of -1 in N
3.471 * [backup-simplify]: Simplify -1 into -1
3.472 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.472 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.472 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
3.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
3.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
3.472 * [taylor]: Taking taylor expansion of 1/3 in N
3.472 * [backup-simplify]: Simplify 1/3 into 1/3
3.472 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
3.472 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
3.472 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
3.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.472 * [taylor]: Taking taylor expansion of 1.0 in N
3.472 * [backup-simplify]: Simplify 1.0 into 1.0
3.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.472 * [taylor]: Taking taylor expansion of N in N
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify 1 into 1
3.473 * [backup-simplify]: Simplify (/ 1 1) into 1
3.473 * [backup-simplify]: Simplify (- 1) into -1
3.473 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.473 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.473 * [taylor]: Taking taylor expansion of N in N
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify 1 into 1
3.474 * [backup-simplify]: Simplify (* -1 -1) into 1
3.474 * [backup-simplify]: Simplify (* 1 1) into 1
3.475 * [backup-simplify]: Simplify (/ 1 1) into 1
3.475 * [backup-simplify]: Simplify (log 1) into 0
3.475 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.475 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.475 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.475 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N
3.475 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
3.475 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.475 * [taylor]: Taking taylor expansion of -1 in N
3.475 * [backup-simplify]: Simplify -1 into -1
3.476 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.476 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.476 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
3.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
3.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
3.476 * [taylor]: Taking taylor expansion of 1/3 in N
3.476 * [backup-simplify]: Simplify 1/3 into 1/3
3.476 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
3.476 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
3.476 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
3.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.476 * [taylor]: Taking taylor expansion of 1.0 in N
3.476 * [backup-simplify]: Simplify 1.0 into 1.0
3.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.476 * [taylor]: Taking taylor expansion of N in N
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify 1 into 1
3.477 * [backup-simplify]: Simplify (/ 1 1) into 1
3.477 * [backup-simplify]: Simplify (- 1) into -1
3.477 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.477 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.477 * [taylor]: Taking taylor expansion of N in N
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (* -1 -1) into 1
3.478 * [backup-simplify]: Simplify (* 1 1) into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.478 * [backup-simplify]: Simplify (log 1) into 0
3.479 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.479 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.479 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.480 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
3.480 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3))
3.481 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3))
3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (- 0) into 0
3.482 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.483 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0)
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.485 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0)
3.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0
3.492 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.493 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666)
3.495 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
3.495 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
3.496 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3))))
3.497 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3))))
3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (- 0) into 0
3.498 * [backup-simplify]: Simplify (+ 0 0) into 0
3.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0
3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.502 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0
3.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0
3.514 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.515 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
3.518 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))
3.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.520 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.521 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3))))
3.522 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3))))
3.525 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3))))
3.525 * * * [progress]: simplifying candidates
3.527 * [simplify]: Simplifying:
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (* (+ N 1.0) N) (* (+ N 1.0) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (+ 1 1)
  (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))))
  (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (* (* (+ N 1.0) N) (* (+ N 1.0) N))
  (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))))
  (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))
  (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))
  (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))
  (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt N) (cbrt N))
  (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* 1 1)
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))
  (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))))
  (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N))))
  (* (cbrt (* (+ N 1.0) N)) 1)
  (* (cbrt N) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))
  (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N)))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2))))
  (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)))
  (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3))))
3.528 * [simplify]: Sending expressions to egg_math:
 (log (cbrt (* (+ h0 1.0) h0)))
 (exp (cbrt (* (+ h0 1.0) h0)))
 (cbrt (+ h0 1.0))
 (cbrt h0)
 (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0))
 (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))
 (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0))
 (cbrt (- h0 1.0))
 (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0))))
 (cbrt (cbrt (* (+ h0 1.0) h0)))
 (* (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))) (cbrt (* (+ h0 1.0) h0)))
 (sqrt (cbrt (* (+ h0 1.0) h0)))
 (sqrt (cbrt (* (+ h0 1.0) h0)))
 (log (cbrt (* (+ h0 1.0) h0)))
 (exp (cbrt (* (+ h0 1.0) h0)))
 (cbrt (+ h0 1.0))
 (cbrt h0)
 (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0))
 (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))
 (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0))
 (cbrt (- h0 1.0))
 (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0))))
 (cbrt (cbrt (* (+ h0 1.0) h0)))
 (* (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))) (cbrt (* (+ h0 1.0) h0)))
 (sqrt (cbrt (* (+ h0 1.0) h0)))
 (sqrt (cbrt (* (+ h0 1.0) h0)))
 (log (cbrt (* (+ h0 1.0) h0)))
 (exp (cbrt (* (+ h0 1.0) h0)))
 (cbrt (+ h0 1.0))
 (cbrt h0)
 (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0))
 (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))
 (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0))
 (cbrt (- h0 1.0))
 (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0))))
 (cbrt (cbrt (* (+ h0 1.0) h0)))
 (* (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))) (cbrt (* (+ h0 1.0) h0)))
 (sqrt (cbrt (* (+ h0 1.0) h0)))
 (sqrt (cbrt (* (+ h0 1.0) h0)))
 (+ (/ 1 3) (/ 1 3))
 (+ 1 1)
 (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0))
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))
 (+ 1 1)
 (+ (log (cbrt (* (+ h0 1.0) h0))) (log (cbrt (* (+ h0 1.0) h0))))
 (log (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))))
 (exp (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))))
 (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0))
 (* (cbrt (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))) (cbrt (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))))
 (cbrt (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))))
 (* (* (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))) (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))) (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))))
 (sqrt (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))))
 (sqrt (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))))
 (* (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0)) (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0)))
 (* (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))))
 (* (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0)) (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0)))
 (* (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (cbrt (- h0 1.0)))
 (* (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0)) (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0)))
 (* (cbrt (- h0 1.0)) (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))))
 (* (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0)) (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0)))
 (* (cbrt (- h0 1.0)) (cbrt (- h0 1.0)))
 (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))
 (* (cbrt h0) (cbrt h0))
 (* (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0)))) (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0)))))
 (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0))))
 (* (sqrt (cbrt (* (+ h0 1.0) h0))) (sqrt (cbrt (* (+ h0 1.0) h0))))
 (* (sqrt (cbrt (* (+ h0 1.0) h0))) (sqrt (cbrt (* (+ h0 1.0) h0))))
 (* 1 1)
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))
 (* (sqrt (cbrt (* (+ h0 1.0) h0))) (sqrt (cbrt (* (+ h0 1.0) h0))))
 (* (sqrt (cbrt (* (+ h0 1.0) h0))) (sqrt (cbrt (* (+ h0 1.0) h0))))
 (* 2 (/ 1 3))
 (* 2 1)
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (+ h0 1.0)))
 (* (cbrt (* (+ h0 1.0) h0)) (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (cbrt (* (+ h0 1.0) h0)))))
 (* (cbrt (* (+ h0 1.0) h0)) (sqrt (cbrt (* (+ h0 1.0) h0))))
 (* (cbrt (* (+ h0 1.0) h0)) 1)
 (* (cbrt h0) (cbrt (* (+ h0 1.0) h0)))
 (* (cbrt (cbrt (* (+ h0 1.0) h0))) (cbrt (* (+ h0 1.0) h0)))
 (* (sqrt (cbrt (* (+ h0 1.0) h0))) (cbrt (* (+ h0 1.0) h0)))
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0)))
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0)))
 (* (cbrt (* (+ (pow h0 3) (pow 1.0 3)) h0)) (cbrt (* (+ h0 1.0) h0)))
 (* (cbrt (* (- (* h0 h0) (* 1.0 1.0)) h0)) (cbrt (* (+ h0 1.0) h0)))
 (- (+ (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (+ (* (/ 2001599834386887.0 3.602879701896397e+16) (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (pow h0 2))) (* (/ 6004799503160661.0 18014398509481984.0) (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) h0)))) (* (/ 1 6) (/ (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (pow h0 2)) (pow 1.0 2))))
 (- (+ (pow (/ 1 h0) (/ -2 3)) (* (/ 6004799503160661.0 18014398509481984.0) (pow (/ 1 h0) (/ 1 3)))) (* (/ 2001599834386887.0 18014398509481984.0) (pow (/ 1 (pow h0 4)) (/ 1 3))))
 (- (+ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) (* (/ 6004799503160661.0 18014398509481984.0) (/ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* (/ 2001599834386887.0 18014398509481984.0) (/ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2))))
 (- (+ (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (+ (* (/ 2001599834386887.0 3.602879701896397e+16) (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (pow h0 2))) (* (/ 6004799503160661.0 18014398509481984.0) (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) h0)))) (* (/ 1 6) (/ (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (pow h0 2)) (pow 1.0 2))))
 (- (+ (pow (/ 1 h0) (/ -2 3)) (* (/ 6004799503160661.0 18014398509481984.0) (pow (/ 1 h0) (/ 1 3)))) (* (/ 2001599834386887.0 18014398509481984.0) (pow (/ 1 (pow h0 4)) (/ 1 3))))
 (- (+ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) (* (/ 6004799503160661.0 18014398509481984.0) (/ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* (/ 2001599834386887.0 18014398509481984.0) (/ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2))))
 (- (+ (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (+ (* (/ 2001599834386887.0 3.602879701896397e+16) (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (pow h0 2))) (* (/ 6004799503160661.0 18014398509481984.0) (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) h0)))) (* (/ 1 6) (/ (* (exp (* (/ 1 3) (+ (log 1.0) (log h0)))) (pow h0 2)) (pow 1.0 2))))
 (- (+ (pow (/ 1 h0) (/ -2 3)) (* (/ 6004799503160661.0 18014398509481984.0) (pow (/ 1 h0) (/ 1 3)))) (* (/ 2001599834386887.0 18014398509481984.0) (pow (/ 1 (pow h0 4)) (/ 1 3))))
 (- (+ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) (* (/ 6004799503160661.0 18014398509481984.0) (/ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* (/ 2001599834386887.0 18014398509481984.0) (/ (* (cbrt -1) (exp (* (/ 1 3) (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2))))
 (- (+ (* (/ 6004799503160661.0 9007199254740992.0) (* h0 (exp (* (/ 1 3) (+ (log 1.0) (* 2 (log h0))))))) (+ (* (/ 2501999792983609.0 4503599627370496.0) (* (pow h0 2) (exp (* (/ 1 3) (+ (log 1.0) (* 2 (log h0))))))) (exp (* (/ 1 3) (+ (log 1.0) (* 2 (log h0))))))) (* (/ 6004799503160661.0 9007199254740992.0) (/ (* (pow h0 2) (exp (* (/ 1 3) (+ (log 1.0) (* 2 (log h0)))))) (pow 1.0 2))))
 (- (+ (* (/ 6004799503160661.0 9007199254740992.0) (pow h0 (/ 1 3))) (pow (/ 1 h0) (/ -4 3))) (* (/ 2001599834386887.0 18014398509481984.0) (pow (/ 1 (pow h0 2)) (/ 1 3))))
 (- (+ (* (pow (cbrt -1) 2) (pow (pow h0 4) (/ 1 3))) (* (/ 6004799503160661.0 9007199254740992.0) (* (pow (cbrt -1) 2) (pow h0 (/ 1 3))))) (* (/ 2001599834386887.0 18014398509481984.0) (* (pow (cbrt -1) 2) (pow (/ 1 (pow h0 2)) (/ 1 3)))))
4.147 * * * [progress]: adding candidates to table
4.481 * * [progress]: iteration 4 / 4
4.481 * * * [progress]: picking best candidate
4.491 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
4.491 * * * [progress]: localizing error
4.506 * * * [progress]: generating rewritten candidates
4.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.512 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
4.529 * * * [progress]: generating series expansions
4.529 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.529 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.529 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
4.529 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
4.529 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.529 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.529 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.530 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
4.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.530 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.530 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.530 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.530 * [backup-simplify]: Simplify 0 into 0
4.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.531 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.532 * [backup-simplify]: Simplify 0 into 0
4.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.533 * [backup-simplify]: Simplify 0 into 0
4.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.533 * [backup-simplify]: Simplify 0 into 0
4.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.534 * [backup-simplify]: Simplify 0 into 0
4.534 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.535 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.535 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
4.535 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
4.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.535 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.535 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.535 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
4.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.536 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.536 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.536 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.536 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.537 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.539 * [backup-simplify]: Simplify 0 into 0
4.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.541 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.543 * [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)))))
4.543 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
4.543 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
4.543 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.543 * [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))))
4.543 * [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)))))
4.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.544 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
4.544 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.544 * [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))))
4.544 * [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)))))
4.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.545 * [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)))))
4.545 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.546 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.548 * [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
4.549 * [backup-simplify]: Simplify 0 into 0
4.549 * [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
4.549 * [backup-simplify]: Simplify 0 into 0
4.550 * [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
4.550 * [backup-simplify]: Simplify 0 into 0
4.550 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.550 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.551 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
4.551 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
4.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.551 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.551 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.551 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
4.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.551 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.551 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.552 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.552 * [backup-simplify]: Simplify 0 into 0
4.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.552 * [backup-simplify]: Simplify 0 into 0
4.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.553 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.554 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.556 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.556 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
4.556 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
4.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.556 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.556 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.556 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
4.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.557 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.557 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.557 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
4.557 * [backup-simplify]: Simplify 0 into 0
4.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.558 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.559 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.559 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.560 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
4.561 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.561 * [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)))))
4.561 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
4.561 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
4.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.562 * [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))))
4.562 * [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)))))
4.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.562 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
4.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.562 * [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))))
4.563 * [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)))))
4.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.563 * [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)))))
4.563 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.565 * [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
4.565 * [backup-simplify]: Simplify 0 into 0
4.566 * [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
4.566 * [backup-simplify]: Simplify 0 into 0
4.567 * [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
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
4.567 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.567 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.567 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
4.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.567 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.568 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.568 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.568 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.568 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
4.568 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.569 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.569 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.569 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.570 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.571 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
4.571 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
4.571 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.572 * [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))))
4.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.572 * [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))))
4.572 * [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))))
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.573 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.573 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.573 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
4.573 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.574 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.574 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
4.574 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.574 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.575 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.575 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
4.575 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.576 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.576 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
4.576 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.576 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.577 * [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))))
4.577 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
4.577 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.578 * [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))))
4.578 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
4.578 * [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))))
4.578 * [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))))
4.578 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.579 * * * [progress]: simplifying candidates
4.582 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1)
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
4.583 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (exp (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt 1)
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (exp (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt 1)
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (+ 1 1)
 (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (log (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* 1 1)
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* 2 (/ 1 2))
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt 1))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) 1)
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
9.697 * * * [progress]: adding candidates to table
9.860 * [progress]: [Phase 3 of 3] Extracting.
9.860 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>)
9.861 * * * [regime-changes]: Trying 1 branch expressions: (N)
9.861 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>)
9.886 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
9.886 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
9.886 * [simplify]: Sending expressions to egg_math:
 (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))
11.516 * [regime-testing]: Baseline error score: 0.319166074691429
11.518 * [regime-testing]: Oracle error score: 0.2755356208847031
11.522 * [regime-testing]: End program error score: 0.319166074691429
11.547 * [regime-testing]: Target error score: 0.32104130909572953