20.880 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.053 * * * [progress]: [2/2] Setting up program.
0.060 * [progress]: [Phase 2 of 3] Improving.
0.060 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.060 * * [simplify]: iteration 0: 6 enodes
0.062 * * [simplify]: iteration 1: 9 enodes
0.064 * * [simplify]: iteration 2: 10 enodes
0.066 * * [simplify]: iteration complete: 10 enodes
0.066 * * [simplify]: Extracting #0: cost 1 inf + 0
0.066 * * [simplify]: Extracting #1: cost 4 inf + 0
0.066 * * [simplify]: Extracting #2: cost 6 inf + 0
0.066 * * [simplify]: Extracting #3: cost 6 inf + 1
0.066 * * [simplify]: Extracting #4: cost 0 inf + 21
0.066 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.075 * * [progress]: iteration 1 / 4
0.075 * * * [progress]: picking best candidate
0.082 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.082 * * * [progress]: localizing error
0.110 * * * [progress]: generating rewritten candidates
0.110 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.119 * * * [progress]: generating series expansions
0.119 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.120 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.120 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.120 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.122 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.122 * [taylor]: Taking taylor expansion of (atan N) in N
0.122 * [backup-simplify]: Simplify (atan N) into (atan N)
0.122 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.122 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.122 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.122 * [taylor]: Taking taylor expansion of (atan N) in N
0.122 * [backup-simplify]: Simplify (atan N) into (atan N)
0.122 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.122 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.122 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.128 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.128 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.128 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.128 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.128 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.128 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.129 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.129 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.129 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.129 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.129 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.129 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (- 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.135 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.135 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.135 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.135 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.135 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.135 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.135 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.135 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.135 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.135 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.135 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.135 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.135 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.136 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.136 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.136 * [backup-simplify]: Simplify (- 0) into 0
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (- 0) into 0
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (- 0) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (- 0) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.141 * * * [progress]: simplifying candidates
0.141 * [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))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.142 * * [simplify]: iteration 0: 36 enodes
0.152 * * [simplify]: iteration 1: 73 enodes
0.173 * * [simplify]: iteration 2: 149 enodes
0.229 * * [simplify]: iteration 3: 326 enodes
0.359 * * [simplify]: iteration 4: 966 enodes
0.824 * * [simplify]: iteration 5: 3570 enodes
1.741 * * [simplify]: iteration complete: 5001 enodes
1.741 * * [simplify]: Extracting #0: cost 16 inf + 0
1.741 * * [simplify]: Extracting #1: cost 156 inf + 1
1.744 * * [simplify]: Extracting #2: cost 866 inf + 3
1.750 * * [simplify]: Extracting #3: cost 1128 inf + 346
1.755 * * [simplify]: Extracting #4: cost 989 inf + 3557
1.760 * * [simplify]: Extracting #5: cost 319 inf + 21455
1.765 * * [simplify]: Extracting #6: cost 44 inf + 25722
1.770 * * [simplify]: Extracting #7: cost 0 inf + 26111
1.775 * [simplify]: Simplified to:
  1.0
  (+ (* N (+ 1.0 N)) 1)
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (pow (- (atan (+ 1.0 N)) (atan N)) 3)
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3))
  (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N)))))
  (- (atan N))
  (* (- (atan (+ 1.0 N)) (atan N)) (+ (atan N) (atan (+ 1.0 N))))
  (+ (atan N) (atan (+ 1.0 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N))))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
1.776 * * * [progress]: adding candidates to table
1.835 * * [progress]: iteration 2 / 4
1.835 * * * [progress]: picking best candidate
1.839 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))>
1.839 * * * [progress]: localizing error
1.849 * * * [progress]: generating rewritten candidates
1.849 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.850 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1)
1.869 * * * [progress]: generating series expansions
1.869 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.869 * [backup-simplify]: Simplify (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.869 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
1.869 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
1.869 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.869 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
1.870 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.870 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 N) (+ 1.0 (/ 1 N))) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.871 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
1.871 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
1.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.871 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
1.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.872 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 (- N)) (+ 1.0 (/ 1 (- N)))) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.872 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.872 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.872 * [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))))
1.872 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.872 * [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))))
1.872 * [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))))
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.873 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1)
1.873 * [backup-simplify]: Simplify (* N (+ 1.0 N)) into (* N (+ N 1.0))
1.873 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
1.873 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.873 * [taylor]: Taking taylor expansion of N in N
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.873 * [taylor]: Taking taylor expansion of N in N
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [taylor]: Taking taylor expansion of 1.0 in N
1.873 * [backup-simplify]: Simplify 1.0 into 1.0
1.873 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.873 * [taylor]: Taking taylor expansion of N in N
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.873 * [taylor]: Taking taylor expansion of N in N
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [taylor]: Taking taylor expansion of 1.0 in N
1.873 * [backup-simplify]: Simplify 1.0 into 1.0
1.874 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.874 * [backup-simplify]: Simplify (* 0 1.0) into 0
1.874 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify (+ 1 0) into 1
1.876 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
1.876 * [backup-simplify]: Simplify 1.0 into 1.0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify (+ 0 0) into 0
1.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
1.884 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (+ 0 0) into 0
1.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
1.889 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
1.890 * [backup-simplify]: Simplify (* (/ 1 N) (+ 1.0 (/ 1 N))) into (/ (+ (/ 1 N) 1.0) N)
1.890 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
1.890 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.890 * [taylor]: Taking taylor expansion of N in N
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (/ 1 1) into 1
1.890 * [taylor]: Taking taylor expansion of 1.0 in N
1.890 * [backup-simplify]: Simplify 1.0 into 1.0
1.890 * [taylor]: Taking taylor expansion of N in N
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (+ 1 0) into 1
1.891 * [backup-simplify]: Simplify (/ 1 1) into 1
1.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.891 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.891 * [taylor]: Taking taylor expansion of N in N
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [backup-simplify]: Simplify (/ 1 1) into 1
1.891 * [taylor]: Taking taylor expansion of 1.0 in N
1.891 * [backup-simplify]: Simplify 1.0 into 1.0
1.891 * [taylor]: Taking taylor expansion of N in N
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [backup-simplify]: Simplify (+ 1 0) into 1
1.892 * [backup-simplify]: Simplify (/ 1 1) into 1
1.892 * [backup-simplify]: Simplify 1 into 1
1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.894 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
1.894 * [backup-simplify]: Simplify 1.0 into 1.0
1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.898 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.899 * [backup-simplify]: Simplify (+ 0 0) into 0
1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.901 * [backup-simplify]: Simplify (+ 0 0) into 0
1.901 * [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
1.901 * [backup-simplify]: Simplify 0 into 0
1.902 * [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
1.902 * [backup-simplify]: Simplify (+ 0 0) into 0
1.903 * [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
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
1.903 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ 1.0 (/ 1 (- N)))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
1.903 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
1.903 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.903 * [taylor]: Taking taylor expansion of -1 in N
1.903 * [backup-simplify]: Simplify -1 into -1
1.903 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.903 * [taylor]: Taking taylor expansion of 1.0 in N
1.903 * [backup-simplify]: Simplify 1.0 into 1.0
1.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.903 * [taylor]: Taking taylor expansion of N in N
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (/ 1 1) into 1
1.904 * [taylor]: Taking taylor expansion of N in N
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (- 1) into -1
1.904 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.905 * [backup-simplify]: Simplify (/ -1 1) into -1
1.905 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.905 * [taylor]: Taking taylor expansion of -1 in N
1.905 * [backup-simplify]: Simplify -1 into -1
1.905 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.905 * [taylor]: Taking taylor expansion of 1.0 in N
1.905 * [backup-simplify]: Simplify 1.0 into 1.0
1.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.905 * [taylor]: Taking taylor expansion of N in N
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify (/ 1 1) into 1
1.905 * [taylor]: Taking taylor expansion of N in N
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify (- 1) into -1
1.906 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.906 * [backup-simplify]: Simplify (/ -1 1) into -1
1.906 * [backup-simplify]: Simplify (* -1 -1) into 1
1.906 * [backup-simplify]: Simplify 1 into 1
1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.907 * [backup-simplify]: Simplify (- 0) into 0
1.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.909 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
1.910 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
1.910 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.911 * [backup-simplify]: Simplify (- 0) into 0
1.911 * [backup-simplify]: Simplify (+ 0 0) into 0
1.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
1.912 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (- 0) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (- 0) into 0
1.916 * [backup-simplify]: Simplify (+ 0 0) into 0
1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.918 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.920 * [backup-simplify]: Simplify (- 0) into 0
1.920 * [backup-simplify]: Simplify (+ 0 0) into 0
1.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
1.923 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.925 * [backup-simplify]: Simplify (- 0) into 0
1.925 * [backup-simplify]: Simplify (+ 0 0) into 0
1.926 * [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
1.928 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
1.928 * [backup-simplify]: Simplify 0 into 0
1.929 * [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
1.930 * [backup-simplify]: Simplify (- 0) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [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
1.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
1.934 * * * [progress]: simplifying candidates
1.935 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (exp (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))))
  (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (* (* (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (* N (+ 1.0 N))
  (+ (log N) (log (+ 1.0 N)))
  (log (* N (+ 1.0 N)))
  (exp (* N (+ 1.0 N)))
  (* (* (* N N) N) (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 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) (sqrt (+ 1.0 N)))
  (* (sqrt N) (sqrt (+ 1.0 N)))
  (* N 1.0)
  (* N N)
  (* 1.0 N)
  (* N N)
  (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))
  (* N (sqrt (+ 1.0 N)))
  (* N 1)
  (* N 1)
  (* (cbrt N) (+ 1.0 N))
  (* (sqrt N) (+ 1.0 N))
  (* N (+ 1.0 N))
  (* N (+ (pow 1.0 3) (pow N 3)))
  (* N (- (* 1.0 1.0) (* N N)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
1.936 * * [simplify]: iteration 0: 56 enodes
1.962 * * [simplify]: iteration 1: 156 enodes
2.040 * * [simplify]: iteration 2: 758 enodes
2.263 * * [simplify]: iteration complete: 5001 enodes
2.263 * * [simplify]: Extracting #0: cost 27 inf + 0
2.264 * * [simplify]: Extracting #1: cost 641 inf + 1
2.268 * * [simplify]: Extracting #2: cost 1696 inf + 962
2.277 * * [simplify]: Extracting #3: cost 1588 inf + 9754
2.295 * * [simplify]: Extracting #4: cost 282 inf + 21648
2.318 * * [simplify]: Extracting #5: cost 17 inf + 23678
2.332 * * [simplify]: Extracting #6: cost 2 inf + 23745
2.340 * * [simplify]: Extracting #7: cost 0 inf + 23755
2.348 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* N (+ N 1.0))
  (log (* N (+ N 1.0)))
  (log (* N (+ N 1.0)))
  (pow (exp N) (+ 1.0 N))
  (* (pow N 3) (pow (+ 1.0 N) 3))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (cbrt (* N (+ N 1.0)))
  (pow (* N (+ N 1.0)) 3)
  (sqrt (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (* (sqrt (+ 1.0 N)) (sqrt N))
  (* (sqrt (+ 1.0 N)) (sqrt N))
  (* N 1.0)
  (pow N 2)
  (* N 1.0)
  (pow N 2)
  (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) N)
  (* (sqrt (+ 1.0 N)) N)
  N
  N
  (* (cbrt N) (+ N 1.0))
  (* (sqrt N) (+ N 1.0))
  (* N (+ N 1.0))
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (* (- 1.0 N) (+ 1.0 N)) N)
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
2.348 * * * [progress]: adding candidates to table
2.480 * * [progress]: iteration 3 / 4
2.481 * * * [progress]: picking best candidate
2.500 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0)))) 1)))>
2.500 * * * [progress]: localizing error
2.527 * * * [progress]: generating rewritten candidates
2.527 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2)
2.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
2.542 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
2.548 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
2.565 * * * [progress]: generating series expansions
2.565 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2)
2.565 * [backup-simplify]: Simplify (cbrt (* N (+ N 1.0))) into (pow (* N (+ N 1.0)) 1/3)
2.565 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
2.565 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.565 * [taylor]: Taking taylor expansion of 1/3 in N
2.565 * [backup-simplify]: Simplify 1/3 into 1/3
2.565 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.565 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.565 * [taylor]: Taking taylor expansion of N in N
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 1 into 1
2.565 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.565 * [taylor]: Taking taylor expansion of N in N
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [taylor]: Taking taylor expansion of 1.0 in N
2.566 * [backup-simplify]: Simplify 1.0 into 1.0
2.566 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.566 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.567 * [backup-simplify]: Simplify (+ 1 0) into 1
2.568 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.568 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.568 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.569 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
2.569 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.569 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.569 * [taylor]: Taking taylor expansion of 1/3 in N
2.569 * [backup-simplify]: Simplify 1/3 into 1/3
2.569 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.569 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.569 * [taylor]: Taking taylor expansion of N in N
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify 1 into 1
2.569 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.569 * [taylor]: Taking taylor expansion of N in N
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify 1 into 1
2.569 * [taylor]: Taking taylor expansion of 1.0 in N
2.569 * [backup-simplify]: Simplify 1.0 into 1.0
2.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.570 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.570 * [backup-simplify]: Simplify (+ 1 0) into 1
2.571 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.571 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.572 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.572 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
2.572 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.573 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.573 * [backup-simplify]: Simplify (+ 0 0) into 0
2.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.577 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.578 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
2.580 * [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)))))
2.580 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.592 * [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))
2.593 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.596 * [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))))
2.604 * [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)))))
2.606 * [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)))))
2.609 * [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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
2.610 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
2.610 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
2.610 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
2.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
2.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
2.610 * [taylor]: Taking taylor expansion of 1/3 in N
2.610 * [backup-simplify]: Simplify 1/3 into 1/3
2.610 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
2.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.610 * [taylor]: Taking taylor expansion of N in N
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.610 * [taylor]: Taking taylor expansion of 1.0 in N
2.610 * [backup-simplify]: Simplify 1.0 into 1.0
2.610 * [taylor]: Taking taylor expansion of N in N
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (+ 1 0) into 1
2.611 * [backup-simplify]: Simplify (/ 1 1) into 1
2.611 * [backup-simplify]: Simplify (log 1) into 0
2.611 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.611 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.611 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.611 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
2.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
2.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
2.611 * [taylor]: Taking taylor expansion of 1/3 in N
2.611 * [backup-simplify]: Simplify 1/3 into 1/3
2.611 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
2.611 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.611 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.611 * [taylor]: Taking taylor expansion of N in N
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 1 into 1
2.612 * [backup-simplify]: Simplify (/ 1 1) into 1
2.612 * [taylor]: Taking taylor expansion of 1.0 in N
2.612 * [backup-simplify]: Simplify 1.0 into 1.0
2.612 * [taylor]: Taking taylor expansion of N in N
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 1 into 1
2.612 * [backup-simplify]: Simplify (+ 1 0) into 1
2.612 * [backup-simplify]: Simplify (/ 1 1) into 1
2.613 * [backup-simplify]: Simplify (log 1) into 0
2.613 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.613 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.613 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.613 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.614 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.615 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.619 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.620 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
2.625 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
2.625 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
2.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.626 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.635 * [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
2.635 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.636 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
2.643 * [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))
2.643 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
2.644 * [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 (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
2.645 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
2.645 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
2.645 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
2.645 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
2.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
2.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
2.645 * [taylor]: Taking taylor expansion of 1/3 in N
2.645 * [backup-simplify]: Simplify 1/3 into 1/3
2.646 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
2.646 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.646 * [taylor]: Taking taylor expansion of 1.0 in N
2.646 * [backup-simplify]: Simplify 1.0 into 1.0
2.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.646 * [taylor]: Taking taylor expansion of N in N
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (/ 1 1) into 1
2.646 * [taylor]: Taking taylor expansion of N in N
2.646 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 1 into 1
2.647 * [backup-simplify]: Simplify (- 1) into -1
2.648 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.648 * [backup-simplify]: Simplify (/ -1 1) into -1
2.649 * [backup-simplify]: Simplify (log -1) into (log -1)
2.649 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.650 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
2.651 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
2.651 * [taylor]: Taking taylor expansion of (cbrt -1) in N
2.651 * [taylor]: Taking taylor expansion of -1 in N
2.651 * [backup-simplify]: Simplify -1 into -1
2.652 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
2.652 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
2.652 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
2.652 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
2.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
2.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
2.652 * [taylor]: Taking taylor expansion of 1/3 in N
2.652 * [backup-simplify]: Simplify 1/3 into 1/3
2.652 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
2.652 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.652 * [taylor]: Taking taylor expansion of 1.0 in N
2.652 * [backup-simplify]: Simplify 1.0 into 1.0
2.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.652 * [taylor]: Taking taylor expansion of N in N
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 1 into 1
2.653 * [backup-simplify]: Simplify (/ 1 1) into 1
2.653 * [taylor]: Taking taylor expansion of N in N
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.653 * [backup-simplify]: Simplify (- 1) into -1
2.654 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.654 * [backup-simplify]: Simplify (/ -1 1) into -1
2.654 * [backup-simplify]: Simplify (log -1) into (log -1)
2.655 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.655 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
2.656 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
2.656 * [taylor]: Taking taylor expansion of (cbrt -1) in N
2.656 * [taylor]: Taking taylor expansion of -1 in N
2.656 * [backup-simplify]: Simplify -1 into -1
2.656 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
2.657 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
2.657 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
2.658 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.659 * [backup-simplify]: Simplify (- 0) into 0
2.659 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.660 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.665 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.665 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
2.668 * [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))))))
2.669 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
2.669 * [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))))))))
2.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify (- 0) into 0
2.671 * [backup-simplify]: Simplify (+ 0 0) into 0
2.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.680 * [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
2.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.683 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
2.691 * [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))))))
2.693 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
2.694 * [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))))))))
2.699 * [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))))
2.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
2.699 * [backup-simplify]: Simplify (cbrt (* N (+ N 1.0))) into (pow (* N (+ N 1.0)) 1/3)
2.699 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
2.699 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.699 * [taylor]: Taking taylor expansion of 1/3 in N
2.699 * [backup-simplify]: Simplify 1/3 into 1/3
2.699 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.699 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.699 * [taylor]: Taking taylor expansion of N in N
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.699 * [taylor]: Taking taylor expansion of N in N
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.700 * [taylor]: Taking taylor expansion of 1.0 in N
2.700 * [backup-simplify]: Simplify 1.0 into 1.0
2.701 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.701 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.702 * [backup-simplify]: Simplify (+ 1 0) into 1
2.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.704 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.705 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.706 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
2.706 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.706 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.706 * [taylor]: Taking taylor expansion of 1/3 in N
2.706 * [backup-simplify]: Simplify 1/3 into 1/3
2.706 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.707 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.707 * [taylor]: Taking taylor expansion of N in N
2.707 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify 1 into 1
2.707 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.707 * [taylor]: Taking taylor expansion of N in N
2.707 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify 1 into 1
2.707 * [taylor]: Taking taylor expansion of 1.0 in N
2.707 * [backup-simplify]: Simplify 1.0 into 1.0
2.707 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.708 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.708 * [backup-simplify]: Simplify (+ 1 0) into 1
2.709 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.710 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.710 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.710 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
2.711 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.711 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.711 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.716 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.716 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
2.718 * [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)))))
2.718 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
2.719 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.725 * [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))
2.726 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.728 * [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))))
2.738 * [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)))))
2.740 * [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)))))
2.743 * [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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
2.743 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
2.743 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
2.743 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
2.743 * [taylor]: Taking taylor expansion of 1/3 in N
2.743 * [backup-simplify]: Simplify 1/3 into 1/3
2.744 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
2.744 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.744 * [taylor]: Taking taylor expansion of N in N
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.744 * [taylor]: Taking taylor expansion of 1.0 in N
2.744 * [backup-simplify]: Simplify 1.0 into 1.0
2.744 * [taylor]: Taking taylor expansion of N in N
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (+ 1 0) into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.745 * [backup-simplify]: Simplify (log 1) into 0
2.745 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.745 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.745 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.745 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
2.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
2.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
2.745 * [taylor]: Taking taylor expansion of 1/3 in N
2.745 * [backup-simplify]: Simplify 1/3 into 1/3
2.746 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
2.746 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.746 * [taylor]: Taking taylor expansion of N in N
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.746 * [backup-simplify]: Simplify (/ 1 1) into 1
2.746 * [taylor]: Taking taylor expansion of 1.0 in N
2.746 * [backup-simplify]: Simplify 1.0 into 1.0
2.746 * [taylor]: Taking taylor expansion of N in N
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (+ 1 0) into 1
2.747 * [backup-simplify]: Simplify (/ 1 1) into 1
2.747 * [backup-simplify]: Simplify (log 1) into 0
2.748 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.748 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.748 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.748 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.749 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.751 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.758 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.759 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
2.761 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
2.761 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (+ 0 0) into 0
2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.774 * [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
2.775 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.776 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
2.782 * [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))
2.782 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
2.783 * [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 (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
2.784 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
2.784 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
2.784 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
2.784 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
2.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
2.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
2.784 * [taylor]: Taking taylor expansion of 1/3 in N
2.784 * [backup-simplify]: Simplify 1/3 into 1/3
2.784 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
2.784 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.785 * [taylor]: Taking taylor expansion of 1.0 in N
2.785 * [backup-simplify]: Simplify 1.0 into 1.0
2.785 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.785 * [taylor]: Taking taylor expansion of N in N
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.786 * [backup-simplify]: Simplify (/ 1 1) into 1
2.786 * [taylor]: Taking taylor expansion of N in N
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 1 into 1
2.786 * [backup-simplify]: Simplify (- 1) into -1
2.787 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.787 * [backup-simplify]: Simplify (/ -1 1) into -1
2.788 * [backup-simplify]: Simplify (log -1) into (log -1)
2.789 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.789 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
2.790 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
2.790 * [taylor]: Taking taylor expansion of (cbrt -1) in N
2.790 * [taylor]: Taking taylor expansion of -1 in N
2.790 * [backup-simplify]: Simplify -1 into -1
2.791 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
2.792 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
2.792 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
2.792 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
2.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
2.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
2.792 * [taylor]: Taking taylor expansion of 1/3 in N
2.792 * [backup-simplify]: Simplify 1/3 into 1/3
2.792 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
2.792 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.792 * [taylor]: Taking taylor expansion of 1.0 in N
2.792 * [backup-simplify]: Simplify 1.0 into 1.0
2.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.792 * [taylor]: Taking taylor expansion of N in N
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.792 * [backup-simplify]: Simplify (/ 1 1) into 1
2.792 * [taylor]: Taking taylor expansion of N in N
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.793 * [backup-simplify]: Simplify (- 1) into -1
2.793 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.794 * [backup-simplify]: Simplify (/ -1 1) into -1
2.794 * [backup-simplify]: Simplify (log -1) into (log -1)
2.795 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.796 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
2.796 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
2.796 * [taylor]: Taking taylor expansion of (cbrt -1) in N
2.796 * [taylor]: Taking taylor expansion of -1 in N
2.796 * [backup-simplify]: Simplify -1 into -1
2.797 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
2.797 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
2.799 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
2.800 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.801 * [backup-simplify]: Simplify (- 0) into 0
2.801 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.804 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.812 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.813 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
2.817 * [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))))))
2.818 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
2.819 * [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))))))))
2.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.822 * [backup-simplify]: Simplify (- 0) into 0
2.823 * [backup-simplify]: Simplify (+ 0 0) into 0
2.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.837 * [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
2.838 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.839 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
2.847 * [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))))))
2.850 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
2.852 * [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))))))))
2.856 * [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))))
2.856 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
2.856 * [backup-simplify]: Simplify (cbrt (* N (+ N 1.0))) into (pow (* N (+ N 1.0)) 1/3)
2.857 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
2.857 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.857 * [taylor]: Taking taylor expansion of 1/3 in N
2.857 * [backup-simplify]: Simplify 1/3 into 1/3
2.857 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.857 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.857 * [taylor]: Taking taylor expansion of N in N
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.857 * [taylor]: Taking taylor expansion of N in N
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of 1.0 in N
2.857 * [backup-simplify]: Simplify 1.0 into 1.0
2.858 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.858 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.859 * [backup-simplify]: Simplify (+ 1 0) into 1
2.860 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.861 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.862 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.862 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
2.863 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.863 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
2.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
2.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
2.863 * [taylor]: Taking taylor expansion of 1/3 in N
2.863 * [backup-simplify]: Simplify 1/3 into 1/3
2.863 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
2.863 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.863 * [taylor]: Taking taylor expansion of N in N
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.863 * [taylor]: Taking taylor expansion of N in N
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [taylor]: Taking taylor expansion of 1.0 in N
2.863 * [backup-simplify]: Simplify 1.0 into 1.0
2.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.864 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.864 * [backup-simplify]: Simplify (+ 1 0) into 1
2.866 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.866 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.867 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.868 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
2.869 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.869 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
2.878 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.879 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
2.882 * [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)))))
2.882 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
2.883 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.900 * [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))
2.901 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
2.904 * [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))))
2.912 * [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)))))
2.914 * [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)))))
2.918 * [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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
2.918 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
2.918 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
2.918 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
2.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
2.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
2.918 * [taylor]: Taking taylor expansion of 1/3 in N
2.918 * [backup-simplify]: Simplify 1/3 into 1/3
2.918 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
2.918 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.918 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.918 * [taylor]: Taking taylor expansion of N in N
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (/ 1 1) into 1
2.918 * [taylor]: Taking taylor expansion of 1.0 in N
2.918 * [backup-simplify]: Simplify 1.0 into 1.0
2.918 * [taylor]: Taking taylor expansion of N in N
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.919 * [backup-simplify]: Simplify (+ 1 0) into 1
2.919 * [backup-simplify]: Simplify (/ 1 1) into 1
2.919 * [backup-simplify]: Simplify (log 1) into 0
2.920 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.920 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.920 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.920 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
2.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
2.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
2.920 * [taylor]: Taking taylor expansion of 1/3 in N
2.920 * [backup-simplify]: Simplify 1/3 into 1/3
2.920 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
2.920 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.920 * [taylor]: Taking taylor expansion of N in N
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [backup-simplify]: Simplify (/ 1 1) into 1
2.920 * [taylor]: Taking taylor expansion of 1.0 in N
2.920 * [backup-simplify]: Simplify 1.0 into 1.0
2.920 * [taylor]: Taking taylor expansion of N in N
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [backup-simplify]: Simplify (+ 1 0) into 1
2.921 * [backup-simplify]: Simplify (/ 1 1) into 1
2.921 * [backup-simplify]: Simplify (log 1) into 0
2.921 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.921 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.921 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.922 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.924 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
2.928 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.928 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
2.930 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
2.930 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify (+ 0 0) into 0
2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.938 * [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
2.938 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.939 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
2.942 * [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))
2.942 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
2.943 * [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 (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
2.943 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
2.943 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
2.943 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
2.943 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
2.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
2.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
2.943 * [taylor]: Taking taylor expansion of 1/3 in N
2.943 * [backup-simplify]: Simplify 1/3 into 1/3
2.943 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
2.943 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.943 * [taylor]: Taking taylor expansion of 1.0 in N
2.943 * [backup-simplify]: Simplify 1.0 into 1.0
2.943 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.943 * [taylor]: Taking taylor expansion of N in N
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [backup-simplify]: Simplify (/ 1 1) into 1
2.944 * [taylor]: Taking taylor expansion of N in N
2.944 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify 1 into 1
2.944 * [backup-simplify]: Simplify (- 1) into -1
2.944 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.944 * [backup-simplify]: Simplify (/ -1 1) into -1
2.945 * [backup-simplify]: Simplify (log -1) into (log -1)
2.945 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.945 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
2.946 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
2.946 * [taylor]: Taking taylor expansion of (cbrt -1) in N
2.946 * [taylor]: Taking taylor expansion of -1 in N
2.946 * [backup-simplify]: Simplify -1 into -1
2.946 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
2.947 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
2.947 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
2.947 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
2.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
2.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
2.947 * [taylor]: Taking taylor expansion of 1/3 in N
2.947 * [backup-simplify]: Simplify 1/3 into 1/3
2.947 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
2.947 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.947 * [taylor]: Taking taylor expansion of 1.0 in N
2.947 * [backup-simplify]: Simplify 1.0 into 1.0
2.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.947 * [taylor]: Taking taylor expansion of N in N
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (/ 1 1) into 1
2.947 * [taylor]: Taking taylor expansion of N in N
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (- 1) into -1
2.948 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.948 * [backup-simplify]: Simplify (/ -1 1) into -1
2.948 * [backup-simplify]: Simplify (log -1) into (log -1)
2.949 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.949 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
2.949 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
2.949 * [taylor]: Taking taylor expansion of (cbrt -1) in N
2.949 * [taylor]: Taking taylor expansion of -1 in N
2.949 * [backup-simplify]: Simplify -1 into -1
2.950 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
2.950 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
2.951 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
2.951 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.952 * [backup-simplify]: Simplify (- 0) into 0
2.953 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.954 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
2.958 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.959 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
2.961 * [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))))))
2.962 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
2.963 * [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))))))))
2.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify (- 0) into 0
2.965 * [backup-simplify]: Simplify (+ 0 0) into 0
2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.972 * [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
2.973 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
2.974 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
2.978 * [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))))))
2.979 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
2.980 * [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))))))))
2.987 * [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))))
2.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
2.987 * [backup-simplify]: Simplify (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3)
2.987 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0
2.987 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
2.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
2.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
2.987 * [taylor]: Taking taylor expansion of 1/3 in N
2.988 * [backup-simplify]: Simplify 1/3 into 1/3
2.988 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
2.988 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
2.988 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.988 * [taylor]: Taking taylor expansion of N in N
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
2.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.988 * [taylor]: Taking taylor expansion of N in N
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of 1.0 in N
2.988 * [backup-simplify]: Simplify 1.0 into 1.0
2.988 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.989 * [backup-simplify]: Simplify (* 1 1) into 1
2.989 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
2.989 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
2.990 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.991 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
2.992 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
2.992 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
2.992 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
2.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
2.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
2.992 * [taylor]: Taking taylor expansion of 1/3 in N
2.992 * [backup-simplify]: Simplify 1/3 into 1/3
2.992 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
2.992 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
2.992 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.992 * [taylor]: Taking taylor expansion of N in N
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 1 into 1
2.992 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
2.992 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.992 * [taylor]: Taking taylor expansion of N in N
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 1 into 1
2.992 * [taylor]: Taking taylor expansion of 1.0 in N
2.992 * [backup-simplify]: Simplify 1.0 into 1.0
2.993 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.993 * [backup-simplify]: Simplify (* 1 1) into 1
2.993 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
2.993 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
2.994 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
2.994 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
2.995 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
2.995 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
2.995 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
2.996 * [backup-simplify]: Simplify (+ 1 0) into 1
2.997 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.998 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0
3.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0
3.003 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
3.004 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666
3.006 * [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))))))
3.006 * [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))))))
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.008 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1
3.018 * [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)))))
3.018 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
3.022 * [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))))
3.029 * [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)))))
3.031 * [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)))))
3.034 * [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 (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (pow 1.0 2))))
3.035 * [backup-simplify]: Simplify (* (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3)
3.035 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0
3.035 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
3.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
3.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
3.035 * [taylor]: Taking taylor expansion of 1/3 in N
3.035 * [backup-simplify]: Simplify 1/3 into 1/3
3.035 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
3.035 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
3.035 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.035 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.035 * [taylor]: Taking taylor expansion of N in N
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify (/ 1 1) into 1
3.035 * [taylor]: Taking taylor expansion of 1.0 in N
3.035 * [backup-simplify]: Simplify 1.0 into 1.0
3.036 * [backup-simplify]: Simplify (+ 1 0) into 1
3.036 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.036 * [taylor]: Taking taylor expansion of N in N
3.036 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify 1 into 1
3.036 * [backup-simplify]: Simplify (* 1 1) into 1
3.036 * [backup-simplify]: Simplify (* 1 1) into 1
3.036 * [backup-simplify]: Simplify (/ 1 1) into 1
3.037 * [backup-simplify]: Simplify (log 1) into 0
3.037 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.037 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.037 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.037 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
3.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
3.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
3.037 * [taylor]: Taking taylor expansion of 1/3 in N
3.037 * [backup-simplify]: Simplify 1/3 into 1/3
3.037 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
3.037 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
3.037 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.037 * [taylor]: Taking taylor expansion of N in N
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (/ 1 1) into 1
3.038 * [taylor]: Taking taylor expansion of 1.0 in N
3.038 * [backup-simplify]: Simplify 1.0 into 1.0
3.038 * [backup-simplify]: Simplify (+ 1 0) into 1
3.038 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.038 * [taylor]: Taking taylor expansion of N in N
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (* 1 1) into 1
3.038 * [backup-simplify]: Simplify (* 1 1) into 1
3.039 * [backup-simplify]: Simplify (/ 1 1) into 1
3.039 * [backup-simplify]: Simplify (log 1) into 0
3.039 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.039 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.039 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.039 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.041 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.043 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0
3.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0
3.047 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.047 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666
3.049 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
3.049 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.050 * [backup-simplify]: Simplify (+ 0 0) into 0
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.054 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0
3.063 * [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
3.063 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.064 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
3.068 * [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))
3.068 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))
3.069 * [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)))
3.069 * [backup-simplify]: Simplify (* (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)))) into (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2))
3.069 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0
3.069 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
3.069 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
3.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
3.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
3.069 * [taylor]: Taking taylor expansion of 1/3 in N
3.069 * [backup-simplify]: Simplify 1/3 into 1/3
3.069 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
3.069 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
3.069 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
3.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.069 * [taylor]: Taking taylor expansion of 1.0 in N
3.069 * [backup-simplify]: Simplify 1.0 into 1.0
3.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.069 * [taylor]: Taking taylor expansion of N in N
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (/ 1 1) into 1
3.070 * [backup-simplify]: Simplify (- 1) into -1
3.070 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.070 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.070 * [taylor]: Taking taylor expansion of N in N
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.071 * [backup-simplify]: Simplify (* -1 -1) into 1
3.071 * [backup-simplify]: Simplify (* 1 1) into 1
3.071 * [backup-simplify]: Simplify (/ 1 1) into 1
3.071 * [backup-simplify]: Simplify (log 1) into 0
3.072 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.072 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.072 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.072 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
3.072 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.072 * [taylor]: Taking taylor expansion of -1 in N
3.072 * [backup-simplify]: Simplify -1 into -1
3.072 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.073 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.073 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
3.073 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
3.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
3.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
3.073 * [taylor]: Taking taylor expansion of 1/3 in N
3.073 * [backup-simplify]: Simplify 1/3 into 1/3
3.073 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
3.073 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
3.073 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
3.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.073 * [taylor]: Taking taylor expansion of 1.0 in N
3.073 * [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 * [backup-simplify]: Simplify (- 1) into -1
3.074 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.074 * [taylor]: Taking taylor expansion of (pow N 2) in N
3.074 * [taylor]: Taking taylor expansion of N in N
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (* -1 -1) into 1
3.074 * [backup-simplify]: Simplify (* 1 1) into 1
3.075 * [backup-simplify]: Simplify (/ 1 1) into 1
3.075 * [backup-simplify]: Simplify (log 1) into 0
3.075 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.075 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
3.075 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
3.075 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
3.075 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.075 * [taylor]: Taking taylor expansion of -1 in N
3.075 * [backup-simplify]: Simplify -1 into -1
3.076 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.076 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.077 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
3.085 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
3.087 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
3.087 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (- 0) into 0
3.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.090 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0)
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.092 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0)
3.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0
3.096 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.097 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666)
3.099 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
3.100 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
3.101 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
3.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.103 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.104 * [backup-simplify]: Simplify (- 0) into 0
3.104 * [backup-simplify]: Simplify (+ 0 0) into 0
3.106 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0
3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.108 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0
3.117 * [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
3.118 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
3.118 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
3.122 * [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))
3.124 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (+ (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0) (* (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
3.125 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
3.129 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (/ 1 (- N))) (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) into (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))))
3.129 * * * [progress]: simplifying candidates
3.130 * [simplify]: Simplifying:
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt N)
  (cbrt (+ N 1.0))
  (cbrt (* N (+ (pow N 3) (pow 1.0 3))))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt N)
  (cbrt (+ N 1.0))
  (cbrt (* N (+ (pow N 3) (pow 1.0 3))))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt N)
  (cbrt (+ N 1.0))
  (cbrt (* N (+ (pow N 3) (pow 1.0 3))))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (* N (+ N 1.0)) (* N (+ N 1.0)))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (+ 1 1)
  (+ (log (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))))
  (log (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))))
  (exp (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))))
  (* (* N (+ N 1.0)) (* N (+ N 1.0)))
  (* (cbrt (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))) (cbrt (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))))
  (cbrt (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))))
  (* (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))))
  (sqrt (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))))
  (sqrt (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))))
  (* (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (cbrt (* N (+ (pow N 3) (pow 1.0 3)))))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (cbrt (* N (- (* N N) (* 1.0 1.0)))))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))
  (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (* N (+ (pow N 3) (pow 1.0 3)))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (* N (- (* N N) (* 1.0 1.0)))))
  (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))
  (* (cbrt N) (cbrt N))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (* (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))))
  (* (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))))
  (* 1 1)
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (* (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))))
  (* (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (* N (+ N 1.0))) (cbrt N))
  (* (cbrt (* N (+ N 1.0))) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))))
  (* (cbrt (* N (+ N 1.0))) (sqrt (cbrt (* N (+ N 1.0)))))
  (* (cbrt (* N (+ N 1.0))) 1)
  (* (cbrt (+ N 1.0)) (cbrt (* N (+ N 1.0))))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (* (sqrt (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ (pow N 3) (pow 1.0 3)))))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (- (* N N) (* 1.0 1.0)))))
  (* (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (cbrt (* N (+ N 1.0))))
  (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (* N (+ N 1.0))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 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) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (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 (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))))
3.132 * * [simplify]: iteration 0: 152 enodes
3.166 * * [simplify]: iteration 1: 388 enodes
3.323 * * [simplify]: iteration 2: 1635 enodes
3.606 * * [simplify]: iteration complete: 5000 enodes
3.606 * * [simplify]: Extracting #0: cost 44 inf + 0
3.607 * * [simplify]: Extracting #1: cost 756 inf + 3
3.611 * * [simplify]: Extracting #2: cost 1533 inf + 110
3.623 * * [simplify]: Extracting #3: cost 1812 inf + 1502
3.632 * * [simplify]: Extracting #4: cost 1090 inf + 8711
3.639 * * [simplify]: Extracting #5: cost 415 inf + 18077
3.646 * * [simplify]: Extracting #6: cost 160 inf + 21147
3.653 * * [simplify]: Extracting #7: cost 91 inf + 21672
3.660 * * [simplify]: Extracting #8: cost 67 inf + 21929
3.669 * * [simplify]: Extracting #9: cost 27 inf + 22625
3.677 * * [simplify]: Extracting #10: cost 2 inf + 23150
3.685 * * [simplify]: Extracting #11: cost 0 inf + 23188
3.693 * * [simplify]: Extracting #12: cost 0 inf + 23145
3.701 * * [simplify]: Extracting #13: cost 0 inf + 23121
3.708 * * [simplify]: Extracting #14: cost 0 inf + 23119
3.717 * [simplify]: Simplified to:
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt N)
  (cbrt (+ 1.0 N))
  (cbrt (* (+ (pow 1.0 3) (pow N 3)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* (* N (+ 1.0 N)) (- N 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* 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)
  (cbrt (+ 1.0 N))
  (cbrt (* (+ (pow 1.0 3) (pow N 3)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* (* N (+ 1.0 N)) (- N 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* 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)
  (cbrt (+ 1.0 N))
  (cbrt (* (+ (pow 1.0 3) (pow N 3)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* (* N (+ 1.0 N)) (- N 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  2/3
  2
  (pow (cbrt (* N (+ 1.0 N))) (* 2 3))
  (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))
  2
  (* 2 (log (cbrt (* N (+ 1.0 N)))))
  (* 2 (log (cbrt (* N (+ 1.0 N)))))
  (exp (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1)))
  (pow (cbrt (* N (+ 1.0 N))) (* 2 3))
  (* (cbrt (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))))
  (cbrt (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1)))
  (pow (cbrt (* N (+ 1.0 N))) (* 2 3))
  (fabs (cbrt (* N (+ 1.0 N))))
  (fabs (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)))
  (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt (* (* N (+ 1.0 N)) (- N 1.0))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt (* (* N (+ 1.0 N)) (- N 1.0))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (cbrt (* (* N (+ 1.0 N)) (- N 1.0))) (cbrt (* (* N (+ 1.0 N)) (- N 1.0))))
  (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))
  (pow N 2/3)
  (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))
  (pow (cbrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (* N (+ 1.0 N)))
  (cbrt (* N (+ 1.0 N)))
  1
  (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))
  (cbrt (* N (+ 1.0 N)))
  (cbrt (* N (+ 1.0 N)))
  2/3
  2
  (* (cbrt N) (cbrt (* N (+ 1.0 N))))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (pow (cbrt (cbrt (* N (+ 1.0 N)))) (+ 3 1)))
  (pow (sqrt (cbrt (* N (+ 1.0 N)))) 3)
  (cbrt (* N (+ 1.0 N)))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (+ 1.0 N)))
  (pow (cbrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))
  (pow (sqrt (cbrt (* N (+ 1.0 N)))) 3)
  (pow (sqrt (cbrt (* N (+ 1.0 N)))) (+ 3 1))
  (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* (* N (+ 1.0 N)) (- N 1.0))) (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* (* N (+ 1.0 N)) (- N 1.0))) (cbrt (* N (+ 1.0 N))))
  (+ (+ (* (cbrt N) (pow 1.0 1/3)) (* (* (cbrt N) (pow 1.0 1/3)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N))))) (* (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (cbrt N) (/ 1.0 N))) -1/6))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))))
  (- (/ (* (* 0.3333333333333333 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) N) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) (* N N)) (* (cbrt -1) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N)))))))))
  (+ (+ (* (cbrt N) (pow 1.0 1/3)) (* (* (cbrt N) (pow 1.0 1/3)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N))))) (* (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (cbrt N) (/ 1.0 N))) -1/6))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))))
  (- (/ (* (* 0.3333333333333333 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) N) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) (* N N)) (* (cbrt -1) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N)))))))))
  (+ (+ (* (cbrt N) (pow 1.0 1/3)) (* (* (cbrt N) (pow 1.0 1/3)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N))))) (* (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (cbrt N) (/ 1.0 N))) -1/6))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))))
  (- (/ (* (* 0.3333333333333333 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) N) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) (* N N)) (* (cbrt -1) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N)))))))))
  (- (* (* (pow 1.0 1/3) (pow N 2/3)) (+ (* 0.5555555555555556 (* N N)) (* 0.6666666666666666 N))) (- (* (/ (* (pow 1.0 1/3) (pow N 2/3)) (/ 1.0 N)) (/ 0.6666666666666666 (/ 1.0 N))) (* (pow 1.0 1/3) (pow N 2/3))))
  (- (+ (pow (/ 1 N) -4/3) (* (cbrt N) 0.6666666666666666)) (* 0.1111111111111111 (cbrt (/ (/ 1 N) N))))
  (* (pow (cbrt -1) 2) (- (+ (cbrt (pow N 4)) (* (cbrt N) 0.6666666666666666)) (* 0.1111111111111111 (cbrt (/ (/ 1 N) N)))))
3.717 * * * [progress]: adding candidates to table
4.117 * * [progress]: iteration 4 / 4
4.117 * * * [progress]: picking best candidate
4.134 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))>
4.135 * * * [progress]: localizing error
4.167 * * * [progress]: generating rewritten candidates
4.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2)
4.173 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
4.178 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1)
4.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
4.217 * * * [progress]: generating series expansions
4.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2)
4.217 * [backup-simplify]: Simplify (cbrt (* N (+ N 1.0))) into (pow (* N (+ N 1.0)) 1/3)
4.217 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
4.217 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.218 * [taylor]: Taking taylor expansion of 1/3 in N
4.218 * [backup-simplify]: Simplify 1/3 into 1/3
4.218 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.218 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.218 * [taylor]: Taking taylor expansion of N in N
4.218 * [backup-simplify]: Simplify 0 into 0
4.218 * [backup-simplify]: Simplify 1 into 1
4.218 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.218 * [taylor]: Taking taylor expansion of N in N
4.218 * [backup-simplify]: Simplify 0 into 0
4.218 * [backup-simplify]: Simplify 1 into 1
4.218 * [taylor]: Taking taylor expansion of 1.0 in N
4.218 * [backup-simplify]: Simplify 1.0 into 1.0
4.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.219 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.219 * [backup-simplify]: Simplify (+ 1 0) into 1
4.220 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.220 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.221 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.221 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.221 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.221 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.221 * [taylor]: Taking taylor expansion of 1/3 in N
4.221 * [backup-simplify]: Simplify 1/3 into 1/3
4.221 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.221 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.221 * [taylor]: Taking taylor expansion of N in N
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.222 * [taylor]: Taking taylor expansion of N in N
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.222 * [taylor]: Taking taylor expansion of 1.0 in N
4.222 * [backup-simplify]: Simplify 1.0 into 1.0
4.222 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.222 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.222 * [backup-simplify]: Simplify (+ 1 0) into 1
4.223 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.224 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.224 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.224 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.225 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.225 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.225 * [backup-simplify]: Simplify (+ 0 0) into 0
4.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
4.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.230 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
4.232 * [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)))))
4.232 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
4.233 * [backup-simplify]: Simplify (+ 0 0) into 0
4.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
4.239 * [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))
4.240 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.242 * [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))))
4.248 * [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)))))
4.250 * [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)))))
4.253 * [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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
4.253 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
4.253 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
4.253 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.253 * [taylor]: Taking taylor expansion of 1/3 in N
4.253 * [backup-simplify]: Simplify 1/3 into 1/3
4.253 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.253 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.253 * [taylor]: Taking taylor expansion of N in N
4.253 * [backup-simplify]: Simplify 0 into 0
4.253 * [backup-simplify]: Simplify 1 into 1
4.254 * [backup-simplify]: Simplify (/ 1 1) into 1
4.254 * [taylor]: Taking taylor expansion of 1.0 in N
4.254 * [backup-simplify]: Simplify 1.0 into 1.0
4.254 * [taylor]: Taking taylor expansion of N in N
4.254 * [backup-simplify]: Simplify 0 into 0
4.254 * [backup-simplify]: Simplify 1 into 1
4.254 * [backup-simplify]: Simplify (+ 1 0) into 1
4.254 * [backup-simplify]: Simplify (/ 1 1) into 1
4.255 * [backup-simplify]: Simplify (log 1) into 0
4.255 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.255 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.255 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.255 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.255 * [taylor]: Taking taylor expansion of 1/3 in N
4.255 * [backup-simplify]: Simplify 1/3 into 1/3
4.255 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.255 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.255 * [taylor]: Taking taylor expansion of N in N
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 1 into 1
4.255 * [backup-simplify]: Simplify (/ 1 1) into 1
4.255 * [taylor]: Taking taylor expansion of 1.0 in N
4.255 * [backup-simplify]: Simplify 1.0 into 1.0
4.255 * [taylor]: Taking taylor expansion of N in N
4.255 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 1 into 1
4.256 * [backup-simplify]: Simplify (+ 1 0) into 1
4.256 * [backup-simplify]: Simplify (/ 1 1) into 1
4.256 * [backup-simplify]: Simplify (log 1) into 0
4.257 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.257 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.257 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.257 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.258 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.259 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
4.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
4.263 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.263 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
4.265 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.265 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.266 * [backup-simplify]: Simplify (+ 0 0) into 0
4.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.276 * [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
4.277 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.277 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
4.281 * [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))
4.281 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
4.281 * [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 (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
4.282 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
4.282 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.282 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.282 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.282 * [taylor]: Taking taylor expansion of 1/3 in N
4.282 * [backup-simplify]: Simplify 1/3 into 1/3
4.282 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.282 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.282 * [taylor]: Taking taylor expansion of 1.0 in N
4.282 * [backup-simplify]: Simplify 1.0 into 1.0
4.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.282 * [taylor]: Taking taylor expansion of N in N
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 1 into 1
4.282 * [backup-simplify]: Simplify (/ 1 1) into 1
4.282 * [taylor]: Taking taylor expansion of N in N
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 1 into 1
4.282 * [backup-simplify]: Simplify (- 1) into -1
4.283 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.283 * [backup-simplify]: Simplify (/ -1 1) into -1
4.283 * [backup-simplify]: Simplify (log -1) into (log -1)
4.284 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.284 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.284 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.284 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.285 * [taylor]: Taking taylor expansion of -1 in N
4.285 * [backup-simplify]: Simplify -1 into -1
4.285 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.285 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.285 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.285 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.286 * [taylor]: Taking taylor expansion of 1/3 in N
4.286 * [backup-simplify]: Simplify 1/3 into 1/3
4.286 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.286 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.286 * [taylor]: Taking taylor expansion of 1.0 in N
4.286 * [backup-simplify]: Simplify 1.0 into 1.0
4.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.286 * [taylor]: Taking taylor expansion of N in N
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (/ 1 1) into 1
4.286 * [taylor]: Taking taylor expansion of N in N
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (- 1) into -1
4.287 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.287 * [backup-simplify]: Simplify (/ -1 1) into -1
4.287 * [backup-simplify]: Simplify (log -1) into (log -1)
4.288 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.288 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.288 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.288 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.288 * [taylor]: Taking taylor expansion of -1 in N
4.288 * [backup-simplify]: Simplify -1 into -1
4.289 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.289 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.290 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.290 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.291 * [backup-simplify]: Simplify (- 0) into 0
4.291 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.293 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
4.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
4.298 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.298 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
4.301 * [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))))))
4.302 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.303 * [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))))))))
4.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.304 * [backup-simplify]: Simplify (- 0) into 0
4.305 * [backup-simplify]: Simplify (+ 0 0) into 0
4.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.312 * [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
4.313 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.313 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
4.319 * [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))))))
4.321 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.321 * [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))))))))
4.324 * [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))))
4.324 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
4.324 * [backup-simplify]: Simplify (cbrt (* N (+ N 1.0))) into (pow (* N (+ N 1.0)) 1/3)
4.324 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
4.325 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.325 * [taylor]: Taking taylor expansion of 1/3 in N
4.325 * [backup-simplify]: Simplify 1/3 into 1/3
4.325 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.325 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.325 * [taylor]: Taking taylor expansion of N in N
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.325 * [taylor]: Taking taylor expansion of N in N
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [taylor]: Taking taylor expansion of 1.0 in N
4.325 * [backup-simplify]: Simplify 1.0 into 1.0
4.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.325 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.326 * [backup-simplify]: Simplify (+ 1 0) into 1
4.327 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.327 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.327 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.328 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.328 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.328 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.328 * [taylor]: Taking taylor expansion of 1/3 in N
4.328 * [backup-simplify]: Simplify 1/3 into 1/3
4.328 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.328 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.328 * [taylor]: Taking taylor expansion of N in N
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.328 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.328 * [taylor]: Taking taylor expansion of N in N
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.328 * [taylor]: Taking taylor expansion of 1.0 in N
4.328 * [backup-simplify]: Simplify 1.0 into 1.0
4.329 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.329 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.329 * [backup-simplify]: Simplify (+ 1 0) into 1
4.330 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.330 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.331 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.331 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.332 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.332 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.332 * [backup-simplify]: Simplify (+ 0 0) into 0
4.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
4.337 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.337 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
4.339 * [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)))))
4.340 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
4.340 * [backup-simplify]: Simplify (+ 0 0) into 0
4.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
4.346 * [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))
4.347 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.349 * [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))))
4.355 * [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)))))
4.357 * [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)))))
4.365 * [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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
4.365 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
4.365 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
4.365 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.365 * [taylor]: Taking taylor expansion of 1/3 in N
4.365 * [backup-simplify]: Simplify 1/3 into 1/3
4.365 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.365 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.365 * [taylor]: Taking taylor expansion of N in N
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify 1 into 1
4.365 * [backup-simplify]: Simplify (/ 1 1) into 1
4.366 * [taylor]: Taking taylor expansion of 1.0 in N
4.366 * [backup-simplify]: Simplify 1.0 into 1.0
4.366 * [taylor]: Taking taylor expansion of N in N
4.366 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify 1 into 1
4.366 * [backup-simplify]: Simplify (+ 1 0) into 1
4.366 * [backup-simplify]: Simplify (/ 1 1) into 1
4.366 * [backup-simplify]: Simplify (log 1) into 0
4.367 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.367 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.367 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.367 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.367 * [taylor]: Taking taylor expansion of 1/3 in N
4.367 * [backup-simplify]: Simplify 1/3 into 1/3
4.367 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.367 * [taylor]: Taking taylor expansion of N in N
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [backup-simplify]: Simplify (/ 1 1) into 1
4.367 * [taylor]: Taking taylor expansion of 1.0 in N
4.367 * [backup-simplify]: Simplify 1.0 into 1.0
4.367 * [taylor]: Taking taylor expansion of N in N
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.368 * [backup-simplify]: Simplify (+ 1 0) into 1
4.368 * [backup-simplify]: Simplify (/ 1 1) into 1
4.368 * [backup-simplify]: Simplify (log 1) into 0
4.368 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.369 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.369 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.369 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.370 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.371 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
4.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
4.375 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.375 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
4.377 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.377 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.378 * [backup-simplify]: Simplify (+ 0 0) into 0
4.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.385 * [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
4.385 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.386 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
4.389 * [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))
4.390 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
4.390 * [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 (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
4.390 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
4.390 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.390 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.390 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.390 * [taylor]: Taking taylor expansion of 1/3 in N
4.391 * [backup-simplify]: Simplify 1/3 into 1/3
4.391 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.391 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.391 * [taylor]: Taking taylor expansion of 1.0 in N
4.391 * [backup-simplify]: Simplify 1.0 into 1.0
4.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.391 * [taylor]: Taking taylor expansion of N in N
4.391 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify 1 into 1
4.391 * [backup-simplify]: Simplify (/ 1 1) into 1
4.391 * [taylor]: Taking taylor expansion of N in N
4.391 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify 1 into 1
4.391 * [backup-simplify]: Simplify (- 1) into -1
4.391 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.392 * [backup-simplify]: Simplify (/ -1 1) into -1
4.392 * [backup-simplify]: Simplify (log -1) into (log -1)
4.393 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.393 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.393 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.393 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.393 * [taylor]: Taking taylor expansion of -1 in N
4.393 * [backup-simplify]: Simplify -1 into -1
4.394 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.394 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.394 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.394 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.394 * [taylor]: Taking taylor expansion of 1/3 in N
4.394 * [backup-simplify]: Simplify 1/3 into 1/3
4.394 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.394 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.394 * [taylor]: Taking taylor expansion of 1.0 in N
4.394 * [backup-simplify]: Simplify 1.0 into 1.0
4.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.394 * [taylor]: Taking taylor expansion of N in N
4.394 * [backup-simplify]: Simplify 0 into 0
4.394 * [backup-simplify]: Simplify 1 into 1
4.395 * [backup-simplify]: Simplify (/ 1 1) into 1
4.395 * [taylor]: Taking taylor expansion of N in N
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 1 into 1
4.395 * [backup-simplify]: Simplify (- 1) into -1
4.395 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.395 * [backup-simplify]: Simplify (/ -1 1) into -1
4.396 * [backup-simplify]: Simplify (log -1) into (log -1)
4.396 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.397 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.397 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.397 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.397 * [taylor]: Taking taylor expansion of -1 in N
4.397 * [backup-simplify]: Simplify -1 into -1
4.397 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.398 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.398 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.399 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.400 * [backup-simplify]: Simplify (- 0) into 0
4.400 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.401 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
4.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
4.406 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.406 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
4.409 * [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))))))
4.410 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.410 * [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))))))))
4.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.412 * [backup-simplify]: Simplify (- 0) into 0
4.412 * [backup-simplify]: Simplify (+ 0 0) into 0
4.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.419 * [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
4.420 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.421 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
4.425 * [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))))))
4.426 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.427 * [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))))))))
4.430 * [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))))
4.430 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1)
4.430 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
4.430 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
4.430 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.430 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.430 * [taylor]: Taking taylor expansion of 1/3 in N
4.430 * [backup-simplify]: Simplify 1/3 into 1/3
4.430 * [taylor]: Taking taylor expansion of (log N) in N
4.430 * [taylor]: Taking taylor expansion of N in N
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (log 1) into 0
4.431 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.431 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.431 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.431 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
4.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
4.431 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
4.431 * [taylor]: Taking taylor expansion of 1/3 in N
4.431 * [backup-simplify]: Simplify 1/3 into 1/3
4.431 * [taylor]: Taking taylor expansion of (log N) in N
4.431 * [taylor]: Taking taylor expansion of N in N
4.431 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify (log 1) into 0
4.431 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.431 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.431 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.432 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.433 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
4.434 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.434 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.436 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
4.437 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.437 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.441 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
4.442 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.442 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.448 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
4.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.451 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.465 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
4.468 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.487 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.489 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
4.492 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.492 * [backup-simplify]: Simplify 0 into 0
4.492 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.492 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
4.492 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
4.492 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.492 * [taylor]: Taking taylor expansion of 1/3 in N
4.493 * [backup-simplify]: Simplify 1/3 into 1/3
4.493 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.493 * [taylor]: Taking taylor expansion of N in N
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify 1 into 1
4.493 * [backup-simplify]: Simplify (/ 1 1) into 1
4.493 * [backup-simplify]: Simplify (log 1) into 0
4.493 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.494 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.494 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.494 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.494 * [taylor]: Taking taylor expansion of 1/3 in N
4.494 * [backup-simplify]: Simplify 1/3 into 1/3
4.494 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.494 * [taylor]: Taking taylor expansion of N in N
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.494 * [backup-simplify]: Simplify (/ 1 1) into 1
4.494 * [backup-simplify]: Simplify (log 1) into 0
4.495 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.495 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.495 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.495 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.497 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.498 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.499 * [backup-simplify]: Simplify 0 into 0
4.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.503 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.506 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.507 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.508 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.508 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.515 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.515 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.518 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.518 * [backup-simplify]: Simplify 0 into 0
4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.527 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.531 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.531 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.554 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.554 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.559 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.559 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
4.559 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.559 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
4.559 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.559 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.559 * [taylor]: Taking taylor expansion of 1/3 in N
4.559 * [backup-simplify]: Simplify 1/3 into 1/3
4.559 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.559 * [taylor]: Taking taylor expansion of N in N
4.559 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify 1 into 1
4.559 * [backup-simplify]: Simplify (/ 1 1) into 1
4.560 * [backup-simplify]: Simplify (log 1) into 0
4.560 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.560 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.560 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.560 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.560 * [taylor]: Taking taylor expansion of -1 in N
4.560 * [backup-simplify]: Simplify -1 into -1
4.561 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.561 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.561 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.561 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.561 * [taylor]: Taking taylor expansion of 1/3 in N
4.561 * [backup-simplify]: Simplify 1/3 into 1/3
4.561 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.561 * [taylor]: Taking taylor expansion of N in N
4.561 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify 1 into 1
4.561 * [backup-simplify]: Simplify (/ 1 1) into 1
4.562 * [backup-simplify]: Simplify (log 1) into 0
4.562 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.562 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.562 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.562 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.562 * [taylor]: Taking taylor expansion of -1 in N
4.562 * [backup-simplify]: Simplify -1 into -1
4.562 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.563 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.563 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.564 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.565 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.566 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.567 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.567 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.570 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.571 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.572 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.572 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.578 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.579 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.579 * [backup-simplify]: Simplify 0 into 0
4.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.586 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.589 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.590 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.590 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.601 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.601 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.604 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.605 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.605 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.623 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.629 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.630 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
4.630 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
4.630 * [backup-simplify]: Simplify (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3)
4.630 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0
4.630 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
4.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
4.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
4.630 * [taylor]: Taking taylor expansion of 1/3 in N
4.630 * [backup-simplify]: Simplify 1/3 into 1/3
4.630 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
4.630 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
4.630 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.631 * [taylor]: Taking taylor expansion of N in N
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 1 into 1
4.631 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
4.631 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.631 * [taylor]: Taking taylor expansion of N in N
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 1 into 1
4.631 * [taylor]: Taking taylor expansion of 1.0 in N
4.631 * [backup-simplify]: Simplify 1.0 into 1.0
4.631 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.631 * [backup-simplify]: Simplify (* 1 1) into 1
4.631 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
4.637 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
4.637 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.638 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.638 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
4.638 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
4.638 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
4.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
4.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
4.639 * [taylor]: Taking taylor expansion of 1/3 in N
4.639 * [backup-simplify]: Simplify 1/3 into 1/3
4.639 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
4.639 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
4.639 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.639 * [taylor]: Taking taylor expansion of N in N
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 1 into 1
4.639 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
4.639 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.639 * [taylor]: Taking taylor expansion of N in N
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 1 into 1
4.639 * [taylor]: Taking taylor expansion of 1.0 in N
4.639 * [backup-simplify]: Simplify 1.0 into 1.0
4.639 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.639 * [backup-simplify]: Simplify (* 1 1) into 1
4.640 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
4.640 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
4.640 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.641 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.641 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
4.641 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
4.642 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
4.642 * [backup-simplify]: Simplify (+ 1 0) into 1
4.643 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
4.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.644 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0
4.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0
4.649 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.649 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666
4.651 * [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))))))
4.651 * [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))))))
4.652 * [backup-simplify]: Simplify (+ 0 0) into 0
4.653 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.654 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1
4.663 * [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)))))
4.663 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.667 * [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))))
4.674 * [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)))))
4.676 * [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)))))
4.680 * [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 (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (pow 1.0 2))))
4.680 * [backup-simplify]: Simplify (* (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) (* (cbrt (/ 1 N)) (cbrt (+ 1.0 (/ 1 N))))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3)
4.680 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0
4.680 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
4.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
4.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
4.681 * [taylor]: Taking taylor expansion of 1/3 in N
4.681 * [backup-simplify]: Simplify 1/3 into 1/3
4.681 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
4.681 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
4.681 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
4.681 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.681 * [taylor]: Taking taylor expansion of N in N
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify 1 into 1
4.681 * [backup-simplify]: Simplify (/ 1 1) into 1
4.681 * [taylor]: Taking taylor expansion of 1.0 in N
4.681 * [backup-simplify]: Simplify 1.0 into 1.0
4.681 * [backup-simplify]: Simplify (+ 1 0) into 1
4.681 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.681 * [taylor]: Taking taylor expansion of N in N
4.681 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (* 1 1) into 1
4.682 * [backup-simplify]: Simplify (* 1 1) into 1
4.682 * [backup-simplify]: Simplify (/ 1 1) into 1
4.683 * [backup-simplify]: Simplify (log 1) into 0
4.683 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.683 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.683 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.683 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
4.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
4.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
4.683 * [taylor]: Taking taylor expansion of 1/3 in N
4.683 * [backup-simplify]: Simplify 1/3 into 1/3
4.683 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
4.683 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
4.683 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
4.683 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.683 * [taylor]: Taking taylor expansion of N in N
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (/ 1 1) into 1
4.684 * [taylor]: Taking taylor expansion of 1.0 in N
4.684 * [backup-simplify]: Simplify 1.0 into 1.0
4.684 * [backup-simplify]: Simplify (+ 1 0) into 1
4.684 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.684 * [taylor]: Taking taylor expansion of N in N
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (* 1 1) into 1
4.685 * [backup-simplify]: Simplify (* 1 1) into 1
4.685 * [backup-simplify]: Simplify (/ 1 1) into 1
4.685 * [backup-simplify]: Simplify (log 1) into 0
4.685 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.685 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.686 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.686 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.686 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.687 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0
4.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.689 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0
4.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0
4.693 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.694 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666
4.695 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
4.695 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.696 * [backup-simplify]: Simplify (+ 0 0) into 0
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.700 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0
4.708 * [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
4.709 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.709 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
4.713 * [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))
4.713 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))
4.714 * [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)))
4.714 * [backup-simplify]: Simplify (* (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) (* (cbrt (/ 1 (- N))) (cbrt (+ 1.0 (/ 1 (- N)))))) into (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.714 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0
4.714 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.714 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
4.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
4.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
4.714 * [taylor]: Taking taylor expansion of 1/3 in N
4.714 * [backup-simplify]: Simplify 1/3 into 1/3
4.714 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
4.714 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
4.714 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
4.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.714 * [taylor]: Taking taylor expansion of 1.0 in N
4.714 * [backup-simplify]: Simplify 1.0 into 1.0
4.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.714 * [taylor]: Taking taylor expansion of N in N
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [backup-simplify]: Simplify (/ 1 1) into 1
4.715 * [backup-simplify]: Simplify (- 1) into -1
4.715 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.715 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.715 * [taylor]: Taking taylor expansion of N in N
4.715 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify 1 into 1
4.715 * [backup-simplify]: Simplify (* -1 -1) into 1
4.716 * [backup-simplify]: Simplify (* 1 1) into 1
4.716 * [backup-simplify]: Simplify (/ 1 1) into 1
4.716 * [backup-simplify]: Simplify (log 1) into 0
4.716 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.716 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.717 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.717 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.717 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.717 * [taylor]: Taking taylor expansion of -1 in N
4.717 * [backup-simplify]: Simplify -1 into -1
4.717 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.717 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.717 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.717 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
4.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
4.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
4.717 * [taylor]: Taking taylor expansion of 1/3 in N
4.717 * [backup-simplify]: Simplify 1/3 into 1/3
4.718 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
4.718 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
4.718 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
4.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.718 * [taylor]: Taking taylor expansion of 1.0 in N
4.718 * [backup-simplify]: Simplify 1.0 into 1.0
4.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.718 * [taylor]: Taking taylor expansion of N in N
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 1 into 1
4.718 * [backup-simplify]: Simplify (/ 1 1) into 1
4.718 * [backup-simplify]: Simplify (- 1) into -1
4.718 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.718 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.718 * [taylor]: Taking taylor expansion of N in N
4.718 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 1 into 1
4.719 * [backup-simplify]: Simplify (* -1 -1) into 1
4.719 * [backup-simplify]: Simplify (* 1 1) into 1
4.719 * [backup-simplify]: Simplify (/ 1 1) into 1
4.719 * [backup-simplify]: Simplify (log 1) into 0
4.720 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.720 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.720 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.720 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.720 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.720 * [taylor]: Taking taylor expansion of -1 in N
4.720 * [backup-simplify]: Simplify -1 into -1
4.720 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.721 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.722 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
4.722 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
4.723 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
4.724 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.730 * [backup-simplify]: Simplify (- 0) into 0
4.730 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.731 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0)
4.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.733 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0)
4.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0
4.738 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.738 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666)
4.740 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
4.741 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.742 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.744 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.745 * [backup-simplify]: Simplify (- 0) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0
4.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.749 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0
4.758 * [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
4.758 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.759 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
4.763 * [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))
4.764 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (+ (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0) (* (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.765 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.769 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (/ 1 (- N))) (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) into (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))))
4.769 * * * [progress]: simplifying candidates
4.770 * [simplify]: Simplifying:
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt N)
  (cbrt (+ N 1.0))
  (cbrt (* N (+ (pow N 3) (pow 1.0 3))))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt N)
  (cbrt (+ N 1.0))
  (cbrt (* N (+ (pow N 3) (pow 1.0 3))))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  (cbrt 1)
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  (* (* (cbrt N) (cbrt N)) (cbrt N))
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (* (* N (+ N 1.0)) (* N (+ 1.0 N)))
  (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (+ (log (cbrt (* N (+ N 1.0)))) (+ (log (cbrt N)) (log (cbrt (+ 1.0 N)))))
  (+ (log (cbrt (* N (+ N 1.0)))) (log (* (cbrt N) (cbrt (+ 1.0 N)))))
  (log (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (exp (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (* (* N (+ N 1.0)) (* N (+ 1.0 N)))
  (* (* N (+ N 1.0)) (* (* (* (cbrt N) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (* (cbrt (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N))))))
  (cbrt (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (* (* (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))) (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N))))) (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (sqrt (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (sqrt (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N)))))
  (* (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (* (cbrt N) (cbrt (+ (pow 1.0 3) (pow N 3)))))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))))
  (* (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (* (cbrt N) (cbrt (- (* 1.0 1.0) (* N N)))))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- 1.0 N)))
  (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (* (cbrt N) (cbrt (+ (pow 1.0 3) (pow N 3)))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))))
  (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (* (cbrt N) (cbrt (- (* 1.0 1.0) (* N N)))))
  (* (cbrt (- N 1.0)) (cbrt (- 1.0 N)))
  (* (cbrt (* N (+ N 1.0))) (cbrt N))
  (* (cbrt (+ N 1.0)) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (sqrt (cbrt (* N (+ N 1.0)))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (+ (pow 1.0 3) (pow N 3)))))
  (* (cbrt (* N (+ N 1.0))) (* (cbrt N) (cbrt (- (* 1.0 1.0) (* N N)))))
  (* (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (* (cbrt N) (cbrt (+ 1.0 N))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 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)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 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))))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
  (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (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 (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))))
4.771 * * [simplify]: iteration 0: 180 enodes
4.804 * * [simplify]: iteration 1: 457 enodes
4.962 * * [simplify]: iteration 2: 1802 enodes
5.282 * * [simplify]: iteration complete: 5000 enodes
5.282 * * [simplify]: Extracting #0: cost 53 inf + 0
5.283 * * [simplify]: Extracting #1: cost 605 inf + 2
5.287 * * [simplify]: Extracting #2: cost 1447 inf + 200
5.292 * * [simplify]: Extracting #3: cost 1975 inf + 1072
5.308 * * [simplify]: Extracting #4: cost 1200 inf + 7001
5.316 * * [simplify]: Extracting #5: cost 394 inf + 15169
5.324 * * [simplify]: Extracting #6: cost 141 inf + 18401
5.334 * * [simplify]: Extracting #7: cost 35 inf + 19246
5.342 * * [simplify]: Extracting #8: cost 1 inf + 19786
5.351 * * [simplify]: Extracting #9: cost 0 inf + 19789
5.358 * * [simplify]: Extracting #10: cost 0 inf + 19728
5.366 * * [simplify]: Extracting #11: cost 0 inf + 19700
5.373 * * [simplify]: Extracting #12: cost 0 inf + 19699
5.381 * [simplify]: Simplified to:
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt N)
  (cbrt (+ 1.0 N))
  (cbrt (* (+ (pow 1.0 3) (pow N 3)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* 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)
  (cbrt (+ 1.0 N))
  (cbrt (* (+ (pow 1.0 3) (pow N 3)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* N (- (* N N) (* 1.0 1.0))))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (log (cbrt N))
  (exp (cbrt N))
  (cbrt (pow N 2/3))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (* (* N N) (* (+ N 1.0) (+ N 1.0)))
  (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N)))))
  (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N)))))
  (log (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N))))))
  (log (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N))))))
  (log (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N))))))
  (pow (exp (* (cbrt (* N (+ 1.0 N))) (cbrt N))) (cbrt (+ 1.0 N)))
  (* (* N N) (* (+ N 1.0) (+ N 1.0)))
  (* (* N (+ 1.0 N)) (pow (* (cbrt N) (cbrt (+ 1.0 N))) 3))
  (* (cbrt (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N)))))) (cbrt (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N)))))))
  (cbrt (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N))))))
  (* (* N (+ 1.0 N)) (pow (* (cbrt N) (cbrt (+ 1.0 N))) 3))
  (sqrt (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N))))))
  (* (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt N)) (cbrt (+ (pow 1.0 3) (pow N 3))))
  (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (cbrt (* (- 1.0 N) (+ 1.0 N)))) (cbrt N))
  (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt N)) (cbrt (+ (pow 1.0 3) (pow N 3))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt N)) (cbrt (* (- 1.0 N) (+ 1.0 N))))
  (* (cbrt (- N 1.0)) (cbrt (- 1.0 N)))
  (* (cbrt N) (cbrt (* N (+ 1.0 N))))
  (* (cbrt N) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))
  (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt N)) (cbrt (+ 1.0 N)))
  (* (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N))) (cbrt N))
  (* (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt (* N (+ 1.0 N)))))
  (* (* (cbrt N) (cbrt (* N (+ 1.0 N)))) (cbrt (+ (pow 1.0 3) (pow N 3))))
  (* (* (cbrt N) (cbrt (* N (+ 1.0 N)))) (cbrt (* (- 1.0 N) (+ 1.0 N))))
  (* (cbrt (* (+ (pow 1.0 3) (pow N 3)) N)) (* (cbrt N) (cbrt (+ 1.0 N))))
  (* (* (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (+ 1.0 N))) (cbrt N))
  (+ (* (* (cbrt N) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* (cbrt N) (pow 1.0 1/3)) (/ (* 1/6 (* (cbrt N) (pow 1.0 1/3))) (* (/ 1.0 N) (/ 1.0 N)))))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))))
  (+ (* (/ (* (cbrt -1) (cbrt (exp (+ (log -1) (* (log (/ -1 N)) -2))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (exp (+ (log -1) (* (log (/ -1 N)) -2))))))
  (+ (* (* (cbrt N) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* (cbrt N) (pow 1.0 1/3)) (/ (* 1/6 (* (cbrt N) (pow 1.0 1/3))) (* (/ 1.0 N) (/ 1.0 N)))))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))))
  (+ (* (/ (* (cbrt -1) (cbrt (exp (+ (log -1) (* (log (/ -1 N)) -2))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (exp (+ (log -1) (* (log (/ -1 N)) -2))))))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
  (+ (* (* (pow 1.0 1/3) (pow N 2/3)) (+ (* 0.5555555555555556 (* N N)) (* 0.6666666666666666 N))) (- (* (pow 1.0 1/3) (pow N 2/3)) (* (/ (* (pow 1.0 1/3) (pow N 2/3)) (/ 1.0 N)) (/ 0.6666666666666666 (/ 1.0 N)))))
  (+ (pow (/ 1 N) -4/3) (- (* 0.6666666666666666 (cbrt N)) (* 0.1111111111111111 (cbrt (/ 1 (* N N))))))
  (* (pow (cbrt -1) 2) (- (+ (cbrt (pow N 4)) (* 0.6666666666666666 (cbrt N))) (* 0.1111111111111111 (cbrt (/ 1 (* N N))))))
5.382 * * * [progress]: adding candidates to table
5.767 * [progress]: [Phase 3 of 3] Extracting.
5.767 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (* (* (sqrt (cbrt N)) (sqrt (cbrt N))) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt N)) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) N) (cbrt (+ 1.0 N))) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))>)
5.771 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
5.771 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (* (* (sqrt (cbrt N)) (sqrt (cbrt N))) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt N)) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) N) (cbrt (+ 1.0 N))) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))>)
5.815 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (cbrt (* N (+ N 1.0))) (* (* (sqrt (cbrt N)) (sqrt (cbrt N))) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt N)) (cbrt (+ 1.0 N)))) (cbrt (* N (+ N 1.0)))) 1)))> #<alt (λ (N) (atan2 1.0 (+ (* (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) N) (cbrt (+ 1.0 N))) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))>)
5.861 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
5.861 * [simplify]: Simplifying:
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
5.861 * * [simplify]: iteration 0: 7 enodes
5.862 * * [simplify]: iteration 1: 12 enodes
5.862 * * [simplify]: iteration complete: 12 enodes
5.862 * * [simplify]: Extracting #0: cost 1 inf + 0
5.862 * * [simplify]: Extracting #1: cost 3 inf + 0
5.862 * * [simplify]: Extracting #2: cost 4 inf + 1
5.862 * * [simplify]: Extracting #3: cost 5 inf + 2
5.862 * * [simplify]: Extracting #4: cost 0 inf + 27
5.862 * [simplify]: Simplified to:
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
7.911 * [regime-testing]: Baseline error score: 0.43728114916518374
7.920 * [regime-testing]: Oracle error score: 0.39882822223672754
7.938 * [regime-testing]: End program error score: 0.43728114916518374
8.026 * [regime-testing]: Target error score: 0.43810437238067584