27.331 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.052 * [progress]: [Phase 2 of 3] Improving.
0.052 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.052 * * [simplify]: iteration 0: 6 enodes
0.053 * * [simplify]: iteration 1: 9 enodes
0.054 * * [simplify]: iteration 2: 10 enodes
0.055 * * [simplify]: iteration complete: 10 enodes
0.055 * * [simplify]: Extracting #0: cost 1 inf + 0
0.055 * * [simplify]: Extracting #1: cost 4 inf + 0
0.055 * * [simplify]: Extracting #2: cost 6 inf + 0
0.055 * * [simplify]: Extracting #3: cost 6 inf + 1
0.055 * * [simplify]: Extracting #4: cost 0 inf + 735
0.055 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.056 * * [progress]: iteration 1 / 4
0.056 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.059 * * * [progress]: localizing error
0.069 * * * [progress]: generating rewritten candidates
0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.077 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.079 * * * [progress]: generating series expansions
0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.080 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.080 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.080 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.080 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [taylor]: Taking taylor expansion of (atan N) in N
0.080 * [backup-simplify]: Simplify (atan N) into (atan N)
0.080 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.080 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.080 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.080 * [taylor]: Taking taylor expansion of (atan N) in N
0.080 * [backup-simplify]: Simplify (atan N) into (atan N)
0.081 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.081 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.081 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- 0) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- 0) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.086 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.086 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.086 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.086 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.086 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.086 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.086 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.086 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.086 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.087 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.087 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.087 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.087 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.087 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.087 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.088 * [backup-simplify]: Simplify (- 0) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- 0) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (- 0) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.093 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.093 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.093 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.093 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.093 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.093 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.093 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.093 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.093 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.093 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.093 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.093 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.093 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.094 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.094 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- 0) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.099 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.099 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.099 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.099 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.099 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.099 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.100 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.100 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.100 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.100 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.100 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.101 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.101 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.101 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.101 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.102 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.102 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.102 * * * [progress]: simplifying candidates
0.103 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.104 * * [simplify]: iteration 0: 40 enodes
0.116 * * [simplify]: iteration 1: 76 enodes
0.139 * * [simplify]: iteration 2: 151 enodes
0.215 * * [simplify]: iteration 3: 326 enodes
0.310 * * [simplify]: iteration 4: 981 enodes
0.917 * * [simplify]: iteration 5: 3795 enodes
2.186 * * [simplify]: iteration complete: 5000 enodes
2.186 * * [simplify]: Extracting #0: cost 23 inf + 0
2.187 * * [simplify]: Extracting #1: cost 200 inf + 1
2.191 * * [simplify]: Extracting #2: cost 1009 inf + 4
2.201 * * [simplify]: Extracting #3: cost 1138 inf + 20728
2.236 * * [simplify]: Extracting #4: cost 888 inf + 183297
2.342 * * [simplify]: Extracting #5: cost 151 inf + 578367
2.446 * * [simplify]: Extracting #6: cost 19 inf + 634086
2.561 * * [simplify]: Extracting #7: cost 0 inf + 640073
2.639 * [simplify]: Simplified to:
  1.0
  (+ (* (+ 1.0 N) 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)))
  (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (* (atan N) (* (atan N) (atan N))))
  (+ (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N)))) (* (atan N) (atan 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))
  (log (atan (+ 1.0 N)))
  (exp (atan (+ 1.0 N)))
  (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))
  (cbrt (atan (+ 1.0 N)))
  (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (atan (+ 1.0 N))
  (atan (+ 1.0 N))
  (atan (+ 1.0 N))
2.640 * * * [progress]: adding candidates to table
2.752 * * [progress]: iteration 2 / 4
2.752 * * * [progress]: picking best candidate
2.758 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
2.758 * * * [progress]: localizing error
2.772 * * * [progress]: generating rewritten candidates
2.772 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.772 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2)
2.789 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
2.797 * * * [progress]: generating series expansions
2.797 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.797 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.797 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
2.797 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.798 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.798 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.798 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.798 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.798 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.798 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
2.799 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.799 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.799 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.799 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.799 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.800 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.800 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.800 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.800 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.800 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.800 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.800 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.801 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2)
2.801 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
2.801 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
2.801 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.801 * [taylor]: Taking taylor expansion of N in N
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.801 * [taylor]: Taking taylor expansion of N in N
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [taylor]: Taking taylor expansion of 1.0 in N
2.801 * [backup-simplify]: Simplify 1.0 into 1.0
2.801 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.801 * [taylor]: Taking taylor expansion of N in N
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.801 * [taylor]: Taking taylor expansion of N in N
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [taylor]: Taking taylor expansion of 1.0 in N
2.801 * [backup-simplify]: Simplify 1.0 into 1.0
2.802 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.802 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify (+ 1 0) into 1
2.803 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.803 * [backup-simplify]: Simplify 1.0 into 1.0
2.804 * [backup-simplify]: Simplify (+ 0 0) into 0
2.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.805 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (+ 0 0) into 0
2.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify (+ 0 0) into 0
2.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (+ 0 0) into 0
2.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
2.818 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
2.819 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
2.819 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
2.819 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.819 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.819 * [taylor]: Taking taylor expansion of N in N
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.820 * [backup-simplify]: Simplify (/ 1 1) into 1
2.820 * [taylor]: Taking taylor expansion of 1.0 in N
2.820 * [backup-simplify]: Simplify 1.0 into 1.0
2.820 * [taylor]: Taking taylor expansion of N in N
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify 1 into 1
2.820 * [backup-simplify]: Simplify (+ 1 0) into 1
2.821 * [backup-simplify]: Simplify (/ 1 1) into 1
2.821 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.821 * [taylor]: Taking taylor expansion of N in N
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.821 * [backup-simplify]: Simplify (/ 1 1) into 1
2.821 * [taylor]: Taking taylor expansion of 1.0 in N
2.821 * [backup-simplify]: Simplify 1.0 into 1.0
2.821 * [taylor]: Taking taylor expansion of N in N
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (+ 1 0) into 1
2.822 * [backup-simplify]: Simplify (/ 1 1) into 1
2.822 * [backup-simplify]: Simplify 1 into 1
2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.824 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.825 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.826 * [backup-simplify]: Simplify 1.0 into 1.0
2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.827 * [backup-simplify]: Simplify (+ 0 0) into 0
2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.828 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (+ 0 0) into 0
2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.832 * [backup-simplify]: Simplify (+ 0 0) into 0
2.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.836 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.837 * [backup-simplify]: Simplify (+ 0 0) into 0
2.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
2.841 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
2.842 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
2.842 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.842 * [taylor]: Taking taylor expansion of -1 in N
2.842 * [backup-simplify]: Simplify -1 into -1
2.842 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.842 * [taylor]: Taking taylor expansion of 1.0 in N
2.842 * [backup-simplify]: Simplify 1.0 into 1.0
2.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.842 * [taylor]: Taking taylor expansion of N in N
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 1 into 1
2.842 * [backup-simplify]: Simplify (/ 1 1) into 1
2.842 * [taylor]: Taking taylor expansion of N in N
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify (- 1) into -1
2.843 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.844 * [backup-simplify]: Simplify (/ -1 1) into -1
2.844 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.844 * [taylor]: Taking taylor expansion of -1 in N
2.844 * [backup-simplify]: Simplify -1 into -1
2.844 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.844 * [taylor]: Taking taylor expansion of 1.0 in N
2.844 * [backup-simplify]: Simplify 1.0 into 1.0
2.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.844 * [taylor]: Taking taylor expansion of N in N
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.844 * [backup-simplify]: Simplify (/ 1 1) into 1
2.844 * [taylor]: Taking taylor expansion of N in N
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.845 * [backup-simplify]: Simplify (- 1) into -1
2.845 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.846 * [backup-simplify]: Simplify (/ -1 1) into -1
2.846 * [backup-simplify]: Simplify (* -1 -1) into 1
2.846 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.847 * [backup-simplify]: Simplify (- 0) into 0
2.848 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.850 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.852 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
2.852 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (- 0) into 0
2.854 * [backup-simplify]: Simplify (+ 0 0) into 0
2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (- 0) into 0
2.857 * [backup-simplify]: Simplify (+ 0 0) into 0
2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
2.858 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify (- 0) into 0
2.860 * [backup-simplify]: Simplify (+ 0 0) into 0
2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
2.861 * [backup-simplify]: Simplify 0 into 0
2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.862 * [backup-simplify]: Simplify (- 0) into 0
2.862 * [backup-simplify]: Simplify (+ 0 0) into 0
2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.865 * [backup-simplify]: Simplify (- 0) into 0
2.865 * [backup-simplify]: Simplify (+ 0 0) into 0
2.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
2.867 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- 0) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
2.871 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
2.871 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (* 1.0 N) (+ (pow N 2) 1))
2.871 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in (N) around 0
2.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N
2.871 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.871 * [taylor]: Taking taylor expansion of 1.0 in N
2.871 * [backup-simplify]: Simplify 1.0 into 1.0
2.871 * [taylor]: Taking taylor expansion of N in N
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
2.871 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.871 * [taylor]: Taking taylor expansion of N in N
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [taylor]: Taking taylor expansion of 1 in N
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N
2.871 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
2.871 * [taylor]: Taking taylor expansion of 1.0 in N
2.871 * [backup-simplify]: Simplify 1.0 into 1.0
2.871 * [taylor]: Taking taylor expansion of N in N
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
2.871 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.871 * [taylor]: Taking taylor expansion of N in N
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [taylor]: Taking taylor expansion of 1 in N
2.871 * [backup-simplify]: Simplify 1 into 1
2.872 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.872 * [backup-simplify]: Simplify (+ 0 1) into 1
2.872 * [backup-simplify]: Simplify (+ 0 1) into 1
2.872 * [backup-simplify]: Simplify 1 into 1
2.873 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
2.873 * [backup-simplify]: Simplify (+ 0 0) into 0
2.874 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.874 * [backup-simplify]: Simplify 1.0 into 1.0
2.874 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
2.874 * [backup-simplify]: Simplify (* 1 1) into 1
2.875 * [backup-simplify]: Simplify (+ 1 0) into 1
2.875 * [backup-simplify]: Simplify (+ 0 1) into 1
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (* 1.0 N) (+ (pow N 2) 1))
2.876 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))
2.876 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0
2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N
2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.876 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.876 * [taylor]: Taking taylor expansion of N in N
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.876 * [backup-simplify]: Simplify (* 1 1) into 1
2.877 * [backup-simplify]: Simplify (/ 1 1) into 1
2.877 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N
2.877 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.877 * [taylor]: Taking taylor expansion of 1.0 in N
2.877 * [backup-simplify]: Simplify 1.0 into 1.0
2.877 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.877 * [taylor]: Taking taylor expansion of N in N
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify 1 into 1
2.877 * [backup-simplify]: Simplify (/ 1 1) into 1
2.877 * [taylor]: Taking taylor expansion of 1 in N
2.877 * [backup-simplify]: Simplify 1 into 1
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.877 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.877 * [taylor]: Taking taylor expansion of N in N
2.877 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [backup-simplify]: Simplify (* 1 1) into 1
2.878 * [backup-simplify]: Simplify (/ 1 1) into 1
2.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N
2.878 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.878 * [taylor]: Taking taylor expansion of 1.0 in N
2.878 * [backup-simplify]: Simplify 1.0 into 1.0
2.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.878 * [taylor]: Taking taylor expansion of N in N
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [backup-simplify]: Simplify (/ 1 1) into 1
2.878 * [taylor]: Taking taylor expansion of 1 in N
2.878 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (+ 1 0) into 1
2.879 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.880 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
2.880 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.881 * [backup-simplify]: Simplify 1.0 into 1.0
2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.883 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
2.883 * [backup-simplify]: Simplify (+ 0 1) into 1
2.883 * [backup-simplify]: Simplify (+ 0 1) into 1
2.883 * [backup-simplify]: Simplify 1 into 1
2.884 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1))
2.884 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))
2.884 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0
2.884 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.884 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.884 * [taylor]: Taking taylor expansion of N in N
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 1 into 1
2.884 * [backup-simplify]: Simplify (* 1 1) into 1
2.885 * [backup-simplify]: Simplify (/ 1 1) into 1
2.885 * [taylor]: Taking taylor expansion of 1 in N
2.885 * [backup-simplify]: Simplify 1 into 1
2.885 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.885 * [taylor]: Taking taylor expansion of 1.0 in N
2.885 * [backup-simplify]: Simplify 1.0 into 1.0
2.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.885 * [taylor]: Taking taylor expansion of N in N
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.886 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.886 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.886 * [taylor]: Taking taylor expansion of N in N
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.886 * [taylor]: Taking taylor expansion of 1 in N
2.887 * [backup-simplify]: Simplify 1 into 1
2.887 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
2.887 * [taylor]: Taking taylor expansion of 1.0 in N
2.887 * [backup-simplify]: Simplify 1.0 into 1.0
2.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.887 * [taylor]: Taking taylor expansion of N in N
2.887 * [backup-simplify]: Simplify 0 into 0
2.887 * [backup-simplify]: Simplify 1 into 1
2.887 * [backup-simplify]: Simplify (/ 1 1) into 1
2.888 * [backup-simplify]: Simplify (+ 1 0) into 1
2.888 * [backup-simplify]: Simplify (+ 1 0) into 1
2.888 * [backup-simplify]: Simplify 1 into 1
2.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.890 * [backup-simplify]: Simplify (+ 0 0) into 0
2.890 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
2.891 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.892 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
2.892 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.895 * [backup-simplify]: Simplify (+ 0 1) into 1
2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.897 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
2.897 * [backup-simplify]: Simplify (- 0) into 0
2.898 * [backup-simplify]: Simplify (+ 1 0) into 1
2.898 * [backup-simplify]: Simplify 1 into 1
2.899 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1))
2.899 * * * [progress]: simplifying candidates
2.900 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (* (exp 1) (exp (* (+ N 1.0) N)))
  (log (+ 1 (* (+ N 1.0) N)))
  (exp (+ 1 (* (+ N 1.0) N)))
  (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))
  (cbrt (+ 1 (* (+ N 1.0) N)))
  (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))
  (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))
  (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))
  (- 1 (* (+ N 1.0) N))
  (atan2 1.0 (+ (* 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))
  (+ (* 1.0 N) (+ (pow N 2) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
2.901 * * [simplify]: iteration 0: 73 enodes
2.922 * * [simplify]: iteration 1: 197 enodes
3.119 * * [simplify]: iteration 2: 1287 enodes
3.691 * * [simplify]: iteration complete: 5002 enodes
3.691 * * [simplify]: Extracting #0: cost 34 inf + 0
3.691 * * [simplify]: Extracting #1: cost 398 inf + 0
3.699 * * [simplify]: Extracting #2: cost 1666 inf + 5429
3.743 * * [simplify]: Extracting #3: cost 1102 inf + 94462
3.795 * * [simplify]: Extracting #4: cost 157 inf + 220508
3.866 * * [simplify]: Extracting #5: cost 18 inf + 239727
3.916 * * [simplify]: Extracting #6: cost 8 inf + 243700
3.971 * * [simplify]: Extracting #7: cost 1 inf + 244627
4.031 * * [simplify]: Extracting #8: cost 0 inf + 244880
4.094 * [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)))
  (* (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* N (+ N 1.0))
  (log (* N (+ N 1.0)))
  (log (* N (+ N 1.0)))
  (exp (* N (+ N 1.0)))
  (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0)))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (cbrt (* N (+ N 1.0)))
  (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* (* (cbrt N) (cbrt N)) (+ N 1.0))
  (* (sqrt N) (+ N 1.0))
  (+ N 1.0)
  (* (cbrt (+ N 1.0)) N)
  (* N (sqrt (+ N 1.0)))
  (* N (+ N 1.0))
  (* N (+ N 1.0))
  (* N (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)))
  (* (* (+ N 1.0) (- N 1.0)) N)
  (exp (+ 1 (* N (+ N 1.0))))
  (log (+ (* N (+ N 1.0)) 1))
  (exp (+ 1 (* N (+ N 1.0))))
  (* (cbrt (+ (* N (+ N 1.0)) 1)) (cbrt (+ (* N (+ N 1.0)) 1)))
  (cbrt (+ (* N (+ N 1.0)) 1))
  (* (+ (* N (+ N 1.0)) 1) (* (+ (* N (+ N 1.0)) 1) (+ (* N (+ N 1.0)) 1)))
  (sqrt (+ (* N (+ N 1.0)) 1))
  (sqrt (+ (* N (+ N 1.0)) 1))
  (+ (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) 1)
  (+ (* (* N (+ N 1.0)) (- (* N (+ N 1.0)) 1)) 1)
  (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N)))
  (- 1 (* N (+ N 1.0)))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (* N (+ N 1.0))
  (* N (+ N 1.0))
  (* N (+ N 1.0))
  (+ (* N (+ N 1.0)) 1)
  (+ (* N (+ N 1.0)) 1)
  (+ (* N (+ N 1.0)) 1)
4.098 * * * [progress]: adding candidates to table
4.345 * * [progress]: iteration 3 / 4
4.345 * * * [progress]: picking best candidate
4.371 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))>
4.372 * * * [progress]: localizing error
4.396 * * * [progress]: generating rewritten candidates
4.397 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
4.409 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
4.415 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
4.421 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
4.440 * * * [progress]: generating series expansions
4.440 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
4.440 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
4.440 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
4.440 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.441 * [taylor]: Taking taylor expansion of 1/3 in N
4.441 * [backup-simplify]: Simplify 1/3 into 1/3
4.441 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.441 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.441 * [taylor]: Taking taylor expansion of N in N
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 1 into 1
4.441 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.441 * [taylor]: Taking taylor expansion of N in N
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 1 into 1
4.441 * [taylor]: Taking taylor expansion of 1.0 in N
4.441 * [backup-simplify]: Simplify 1.0 into 1.0
4.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.442 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.442 * [backup-simplify]: Simplify (+ 1 0) into 1
4.443 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.444 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.444 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.445 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.445 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.445 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.445 * [taylor]: Taking taylor expansion of 1/3 in N
4.445 * [backup-simplify]: Simplify 1/3 into 1/3
4.445 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.445 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.445 * [taylor]: Taking taylor expansion of N in N
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 1 into 1
4.445 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.445 * [taylor]: Taking taylor expansion of N in N
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 1 into 1
4.445 * [taylor]: Taking taylor expansion of 1.0 in N
4.445 * [backup-simplify]: Simplify 1.0 into 1.0
4.446 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.446 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.446 * [backup-simplify]: Simplify (+ 1 0) into 1
4.447 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.448 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.448 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.448 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.449 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.449 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.450 * [backup-simplify]: Simplify (+ 0 0) into 0
4.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
4.454 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.455 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
4.456 * [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)))))
4.457 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
4.457 * [backup-simplify]: Simplify (+ 0 0) into 0
4.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
4.464 * [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))
4.465 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.467 * [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))))
4.475 * [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)))))
4.478 * [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)))))
4.481 * [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))))
4.481 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
4.481 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
4.481 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.481 * [taylor]: Taking taylor expansion of 1/3 in N
4.481 * [backup-simplify]: Simplify 1/3 into 1/3
4.481 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.481 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.481 * [taylor]: Taking taylor expansion of N in N
4.481 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify 1 into 1
4.481 * [backup-simplify]: Simplify (/ 1 1) into 1
4.481 * [taylor]: Taking taylor expansion of 1.0 in N
4.481 * [backup-simplify]: Simplify 1.0 into 1.0
4.481 * [taylor]: Taking taylor expansion of N in N
4.481 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify 1 into 1
4.482 * [backup-simplify]: Simplify (+ 1 0) into 1
4.482 * [backup-simplify]: Simplify (/ 1 1) into 1
4.482 * [backup-simplify]: Simplify (log 1) into 0
4.482 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.482 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.483 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.483 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.483 * [taylor]: Taking taylor expansion of 1/3 in N
4.483 * [backup-simplify]: Simplify 1/3 into 1/3
4.483 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.483 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.483 * [taylor]: Taking taylor expansion of N in N
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.485 * [backup-simplify]: Simplify (/ 1 1) into 1
4.485 * [taylor]: Taking taylor expansion of 1.0 in N
4.486 * [backup-simplify]: Simplify 1.0 into 1.0
4.486 * [taylor]: Taking taylor expansion of N in N
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 1 into 1
4.486 * [backup-simplify]: Simplify (+ 1 0) into 1
4.487 * [backup-simplify]: Simplify (/ 1 1) into 1
4.487 * [backup-simplify]: Simplify (log 1) into 0
4.487 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.488 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.488 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.488 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.489 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.491 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
4.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
4.498 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.498 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
4.500 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.501 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.501 * [backup-simplify]: Simplify (+ 0 0) into 0
4.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.508 * [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
4.508 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.509 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
4.512 * [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))
4.512 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
4.513 * [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)))
4.513 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
4.513 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.513 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.513 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.513 * [taylor]: Taking taylor expansion of 1/3 in N
4.513 * [backup-simplify]: Simplify 1/3 into 1/3
4.513 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.513 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.513 * [taylor]: Taking taylor expansion of 1.0 in N
4.513 * [backup-simplify]: Simplify 1.0 into 1.0
4.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.514 * [taylor]: Taking taylor expansion of N in N
4.514 * [backup-simplify]: Simplify 0 into 0
4.514 * [backup-simplify]: Simplify 1 into 1
4.514 * [backup-simplify]: Simplify (/ 1 1) into 1
4.514 * [taylor]: Taking taylor expansion of N in N
4.514 * [backup-simplify]: Simplify 0 into 0
4.514 * [backup-simplify]: Simplify 1 into 1
4.514 * [backup-simplify]: Simplify (- 1) into -1
4.514 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.515 * [backup-simplify]: Simplify (/ -1 1) into -1
4.515 * [backup-simplify]: Simplify (log -1) into (log -1)
4.515 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.516 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.516 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.516 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.516 * [taylor]: Taking taylor expansion of -1 in N
4.516 * [backup-simplify]: Simplify -1 into -1
4.516 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.517 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.517 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.517 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.517 * [taylor]: Taking taylor expansion of 1/3 in N
4.517 * [backup-simplify]: Simplify 1/3 into 1/3
4.517 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.517 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.517 * [taylor]: Taking taylor expansion of 1.0 in N
4.517 * [backup-simplify]: Simplify 1.0 into 1.0
4.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.517 * [taylor]: Taking taylor expansion of N in N
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify 1 into 1
4.517 * [backup-simplify]: Simplify (/ 1 1) into 1
4.517 * [taylor]: Taking taylor expansion of N in N
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify 1 into 1
4.518 * [backup-simplify]: Simplify (- 1) into -1
4.518 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.518 * [backup-simplify]: Simplify (/ -1 1) into -1
4.518 * [backup-simplify]: Simplify (log -1) into (log -1)
4.519 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.519 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.520 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.520 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.520 * [taylor]: Taking taylor expansion of -1 in N
4.520 * [backup-simplify]: Simplify -1 into -1
4.520 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.520 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.521 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.522 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.522 * [backup-simplify]: Simplify (- 0) into 0
4.523 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.524 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
4.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
4.528 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.529 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
4.531 * [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))))))
4.532 * [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))))))))
4.533 * [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))))))))
4.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.535 * [backup-simplify]: Simplify (- 0) into 0
4.535 * [backup-simplify]: Simplify (+ 0 0) into 0
4.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.547 * [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
4.548 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.549 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
4.556 * [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))))))
4.558 * [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))))))))
4.559 * [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))))))))
4.562 * [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))))
4.562 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
4.562 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
4.562 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
4.562 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.562 * [taylor]: Taking taylor expansion of 1/3 in N
4.562 * [backup-simplify]: Simplify 1/3 into 1/3
4.562 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.562 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.562 * [taylor]: Taking taylor expansion of N in N
4.562 * [backup-simplify]: Simplify 0 into 0
4.562 * [backup-simplify]: Simplify 1 into 1
4.562 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.563 * [taylor]: Taking taylor expansion of N in N
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 1 into 1
4.563 * [taylor]: Taking taylor expansion of 1.0 in N
4.563 * [backup-simplify]: Simplify 1.0 into 1.0
4.563 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.563 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.563 * [backup-simplify]: Simplify (+ 1 0) into 1
4.564 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.565 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.565 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.565 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.566 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.566 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.566 * [taylor]: Taking taylor expansion of 1/3 in N
4.566 * [backup-simplify]: Simplify 1/3 into 1/3
4.566 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.566 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.566 * [taylor]: Taking taylor expansion of N in N
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify 1 into 1
4.566 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.566 * [taylor]: Taking taylor expansion of N in N
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify 1 into 1
4.566 * [taylor]: Taking taylor expansion of 1.0 in N
4.566 * [backup-simplify]: Simplify 1.0 into 1.0
4.566 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.566 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.567 * [backup-simplify]: Simplify (+ 1 0) into 1
4.568 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.568 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.568 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.569 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.569 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.569 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.570 * [backup-simplify]: Simplify (+ 0 0) into 0
4.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
4.574 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.574 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
4.576 * [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)))))
4.576 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
4.577 * [backup-simplify]: Simplify (+ 0 0) into 0
4.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
4.583 * [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))
4.584 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.587 * [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))))
4.593 * [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)))))
4.595 * [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)))))
4.597 * [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))))
4.598 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
4.598 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
4.598 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.598 * [taylor]: Taking taylor expansion of 1/3 in N
4.598 * [backup-simplify]: Simplify 1/3 into 1/3
4.598 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.598 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.598 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.598 * [taylor]: Taking taylor expansion of N in N
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.598 * [backup-simplify]: Simplify (/ 1 1) into 1
4.598 * [taylor]: Taking taylor expansion of 1.0 in N
4.598 * [backup-simplify]: Simplify 1.0 into 1.0
4.598 * [taylor]: Taking taylor expansion of N in N
4.598 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify 1 into 1
4.598 * [backup-simplify]: Simplify (+ 1 0) into 1
4.599 * [backup-simplify]: Simplify (/ 1 1) into 1
4.599 * [backup-simplify]: Simplify (log 1) into 0
4.599 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.599 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.599 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.599 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.599 * [taylor]: Taking taylor expansion of 1/3 in N
4.599 * [backup-simplify]: Simplify 1/3 into 1/3
4.599 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.600 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.600 * [taylor]: Taking taylor expansion of N in N
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (/ 1 1) into 1
4.600 * [taylor]: Taking taylor expansion of 1.0 in N
4.600 * [backup-simplify]: Simplify 1.0 into 1.0
4.600 * [taylor]: Taking taylor expansion of N in N
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (+ 1 0) into 1
4.600 * [backup-simplify]: Simplify (/ 1 1) into 1
4.601 * [backup-simplify]: Simplify (log 1) into 0
4.601 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.601 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.601 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.601 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.602 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.603 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
4.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
4.607 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.607 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
4.609 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.609 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.610 * [backup-simplify]: Simplify (+ 0 0) into 0
4.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.617 * [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
4.617 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.618 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
4.624 * [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))
4.624 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
4.625 * [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)))
4.625 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
4.625 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.625 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.625 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.626 * [taylor]: Taking taylor expansion of 1/3 in N
4.626 * [backup-simplify]: Simplify 1/3 into 1/3
4.626 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.626 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.626 * [taylor]: Taking taylor expansion of 1.0 in N
4.626 * [backup-simplify]: Simplify 1.0 into 1.0
4.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.626 * [taylor]: Taking taylor expansion of N in N
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (/ 1 1) into 1
4.627 * [taylor]: Taking taylor expansion of N in N
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify 1 into 1
4.627 * [backup-simplify]: Simplify (- 1) into -1
4.627 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.628 * [backup-simplify]: Simplify (/ -1 1) into -1
4.628 * [backup-simplify]: Simplify (log -1) into (log -1)
4.629 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.629 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.630 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.630 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.630 * [taylor]: Taking taylor expansion of -1 in N
4.630 * [backup-simplify]: Simplify -1 into -1
4.631 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.631 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.631 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.631 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.631 * [taylor]: Taking taylor expansion of 1/3 in N
4.631 * [backup-simplify]: Simplify 1/3 into 1/3
4.631 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.632 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.632 * [taylor]: Taking taylor expansion of 1.0 in N
4.632 * [backup-simplify]: Simplify 1.0 into 1.0
4.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.632 * [taylor]: Taking taylor expansion of N in N
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 1 into 1
4.632 * [backup-simplify]: Simplify (/ 1 1) into 1
4.632 * [taylor]: Taking taylor expansion of N in N
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 1 into 1
4.633 * [backup-simplify]: Simplify (- 1) into -1
4.633 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.633 * [backup-simplify]: Simplify (/ -1 1) into -1
4.634 * [backup-simplify]: Simplify (log -1) into (log -1)
4.635 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.635 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.636 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.636 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.636 * [taylor]: Taking taylor expansion of -1 in N
4.636 * [backup-simplify]: Simplify -1 into -1
4.636 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.637 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.639 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.640 * [backup-simplify]: Simplify (- 0) into 0
4.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.643 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
4.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
4.648 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.648 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
4.650 * [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))))))
4.651 * [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))))))))
4.652 * [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))))))))
4.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.654 * [backup-simplify]: Simplify (- 0) into 0
4.654 * [backup-simplify]: Simplify (+ 0 0) into 0
4.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.661 * [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
4.661 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.662 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
4.666 * [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))))))
4.668 * [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))))))))
4.668 * [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))))))))
4.671 * [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))))
4.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
4.671 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
4.671 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
4.671 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.671 * [taylor]: Taking taylor expansion of 1/3 in N
4.671 * [backup-simplify]: Simplify 1/3 into 1/3
4.671 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.671 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.671 * [taylor]: Taking taylor expansion of N in N
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.671 * [taylor]: Taking taylor expansion of N in N
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [taylor]: Taking taylor expansion of 1.0 in N
4.671 * [backup-simplify]: Simplify 1.0 into 1.0
4.672 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.672 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.672 * [backup-simplify]: Simplify (+ 1 0) into 1
4.673 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.673 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.674 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.674 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.675 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.675 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
4.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
4.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
4.675 * [taylor]: Taking taylor expansion of 1/3 in N
4.675 * [backup-simplify]: Simplify 1/3 into 1/3
4.675 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
4.675 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
4.675 * [taylor]: Taking taylor expansion of N in N
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 1 into 1
4.675 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.675 * [taylor]: Taking taylor expansion of N in N
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 1 into 1
4.675 * [taylor]: Taking taylor expansion of 1.0 in N
4.675 * [backup-simplify]: Simplify 1.0 into 1.0
4.675 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.675 * [backup-simplify]: Simplify (* 0 1.0) into 0
4.676 * [backup-simplify]: Simplify (+ 1 0) into 1
4.677 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
4.677 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.677 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.678 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
4.678 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.678 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
4.679 * [backup-simplify]: Simplify (+ 0 0) into 0
4.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
4.688 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.689 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
4.692 * [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)))))
4.692 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
4.693 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
4.705 * [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))
4.706 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
4.709 * [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))))
4.722 * [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)))))
4.726 * [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)))))
4.730 * [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))))
4.730 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
4.730 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
4.730 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.730 * [taylor]: Taking taylor expansion of 1/3 in N
4.730 * [backup-simplify]: Simplify 1/3 into 1/3
4.730 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.730 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.730 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.730 * [taylor]: Taking taylor expansion of N in N
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 1 into 1
4.731 * [backup-simplify]: Simplify (/ 1 1) into 1
4.731 * [taylor]: Taking taylor expansion of 1.0 in N
4.731 * [backup-simplify]: Simplify 1.0 into 1.0
4.731 * [taylor]: Taking taylor expansion of N in N
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 1 into 1
4.731 * [backup-simplify]: Simplify (+ 1 0) into 1
4.731 * [backup-simplify]: Simplify (/ 1 1) into 1
4.732 * [backup-simplify]: Simplify (log 1) into 0
4.732 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.732 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.732 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.732 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
4.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
4.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
4.732 * [taylor]: Taking taylor expansion of 1/3 in N
4.732 * [backup-simplify]: Simplify 1/3 into 1/3
4.732 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
4.732 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
4.732 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.732 * [taylor]: Taking taylor expansion of N in N
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (/ 1 1) into 1
4.733 * [taylor]: Taking taylor expansion of 1.0 in N
4.733 * [backup-simplify]: Simplify 1.0 into 1.0
4.733 * [taylor]: Taking taylor expansion of N in N
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (+ 1 0) into 1
4.733 * [backup-simplify]: Simplify (/ 1 1) into 1
4.734 * [backup-simplify]: Simplify (log 1) into 0
4.734 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.734 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.734 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.734 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.737 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
4.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
4.742 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.742 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
4.744 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.744 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.752 * [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
4.752 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.753 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
4.757 * [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))
4.757 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
4.758 * [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)))
4.758 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
4.758 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.758 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.758 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.758 * [taylor]: Taking taylor expansion of 1/3 in N
4.759 * [backup-simplify]: Simplify 1/3 into 1/3
4.759 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.759 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.759 * [taylor]: Taking taylor expansion of 1.0 in N
4.759 * [backup-simplify]: Simplify 1.0 into 1.0
4.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.759 * [taylor]: Taking taylor expansion of N in N
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify (/ 1 1) into 1
4.759 * [taylor]: Taking taylor expansion of N in N
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.760 * [backup-simplify]: Simplify (- 1) into -1
4.760 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.761 * [backup-simplify]: Simplify (/ -1 1) into -1
4.761 * [backup-simplify]: Simplify (log -1) into (log -1)
4.762 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.762 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.763 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.763 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.763 * [taylor]: Taking taylor expansion of -1 in N
4.763 * [backup-simplify]: Simplify -1 into -1
4.764 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.764 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.764 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.764 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
4.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
4.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
4.764 * [taylor]: Taking taylor expansion of 1/3 in N
4.764 * [backup-simplify]: Simplify 1/3 into 1/3
4.764 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
4.764 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
4.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.764 * [taylor]: Taking taylor expansion of 1.0 in N
4.764 * [backup-simplify]: Simplify 1.0 into 1.0
4.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.764 * [taylor]: Taking taylor expansion of N in N
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 1 into 1
4.765 * [backup-simplify]: Simplify (/ 1 1) into 1
4.765 * [taylor]: Taking taylor expansion of N in N
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify 1 into 1
4.765 * [backup-simplify]: Simplify (- 1) into -1
4.765 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.765 * [backup-simplify]: Simplify (/ -1 1) into -1
4.766 * [backup-simplify]: Simplify (log -1) into (log -1)
4.766 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.767 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.767 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.767 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.767 * [taylor]: Taking taylor expansion of -1 in N
4.767 * [backup-simplify]: Simplify -1 into -1
4.768 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.768 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.769 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.770 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.771 * [backup-simplify]: Simplify (- 0) into 0
4.771 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.772 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
4.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
4.777 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.777 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
4.780 * [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))))))
4.781 * [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))))))))
4.782 * [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))))))))
4.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.783 * [backup-simplify]: Simplify (- 0) into 0
4.783 * [backup-simplify]: Simplify (+ 0 0) into 0
4.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
4.790 * [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
4.791 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.792 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
4.801 * [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))))))
4.803 * [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))))))))
4.804 * [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))))))))
4.809 * [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))))
4.809 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
4.809 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3)
4.809 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0
4.809 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
4.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
4.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
4.810 * [taylor]: Taking taylor expansion of 1/3 in N
4.810 * [backup-simplify]: Simplify 1/3 into 1/3
4.810 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
4.810 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
4.810 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.810 * [taylor]: Taking taylor expansion of N in N
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
4.810 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.810 * [taylor]: Taking taylor expansion of N in N
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [taylor]: Taking taylor expansion of 1.0 in N
4.810 * [backup-simplify]: Simplify 1.0 into 1.0
4.810 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.811 * [backup-simplify]: Simplify (* 1 1) into 1
4.811 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
4.812 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
4.812 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.813 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.813 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
4.814 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
4.814 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N
4.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N
4.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N
4.814 * [taylor]: Taking taylor expansion of 1/3 in N
4.814 * [backup-simplify]: Simplify 1/3 into 1/3
4.814 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N
4.814 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N
4.814 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.814 * [taylor]: Taking taylor expansion of N in N
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N
4.814 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
4.814 * [taylor]: Taking taylor expansion of N in N
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [taylor]: Taking taylor expansion of 1.0 in N
4.814 * [backup-simplify]: Simplify 1.0 into 1.0
4.815 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.815 * [backup-simplify]: Simplify (* 1 1) into 1
4.816 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
4.816 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
4.817 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
4.817 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.818 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N))))
4.818 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
4.819 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))
4.819 * [backup-simplify]: Simplify (+ 1 0) into 1
4.820 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.822 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0
4.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0
4.826 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.826 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666
4.828 * [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))))))
4.829 * [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))))))
4.829 * [backup-simplify]: Simplify (+ 0 0) into 0
4.829 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1
4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.830 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1
4.838 * [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)))))
4.839 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N)))
4.842 * [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))))
4.849 * [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)))))
4.853 * [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)))))
4.858 * [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))))
4.858 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3)
4.858 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0
4.858 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
4.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
4.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
4.858 * [taylor]: Taking taylor expansion of 1/3 in N
4.858 * [backup-simplify]: Simplify 1/3 into 1/3
4.858 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
4.858 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
4.858 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
4.859 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.859 * [taylor]: Taking taylor expansion of N in N
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 1 into 1
4.859 * [backup-simplify]: Simplify (/ 1 1) into 1
4.859 * [taylor]: Taking taylor expansion of 1.0 in N
4.859 * [backup-simplify]: Simplify 1.0 into 1.0
4.860 * [backup-simplify]: Simplify (+ 1 0) into 1
4.860 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.860 * [taylor]: Taking taylor expansion of N in N
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [backup-simplify]: Simplify (* 1 1) into 1
4.860 * [backup-simplify]: Simplify (* 1 1) into 1
4.861 * [backup-simplify]: Simplify (/ 1 1) into 1
4.861 * [backup-simplify]: Simplify (log 1) into 0
4.862 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.862 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.862 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.862 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N
4.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N
4.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N
4.862 * [taylor]: Taking taylor expansion of 1/3 in N
4.862 * [backup-simplify]: Simplify 1/3 into 1/3
4.862 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N
4.862 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N
4.862 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N
4.862 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
4.862 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.862 * [taylor]: Taking taylor expansion of N in N
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.863 * [backup-simplify]: Simplify (/ 1 1) into 1
4.863 * [taylor]: Taking taylor expansion of 1.0 in N
4.863 * [backup-simplify]: Simplify 1.0 into 1.0
4.863 * [backup-simplify]: Simplify (+ 1 0) into 1
4.863 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.863 * [taylor]: Taking taylor expansion of N in N
4.863 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify 1 into 1
4.864 * [backup-simplify]: Simplify (* 1 1) into 1
4.864 * [backup-simplify]: Simplify (* 1 1) into 1
4.864 * [backup-simplify]: Simplify (/ 1 1) into 1
4.864 * [backup-simplify]: Simplify (log 1) into 0
4.865 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.865 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.865 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.865 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.866 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.867 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0
4.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.868 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0
4.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0
4.872 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.872 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666
4.874 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
4.874 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.875 * [backup-simplify]: Simplify (+ 0 0) into 0
4.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0
4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.878 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0
4.886 * [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
4.887 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.887 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
4.891 * [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))
4.891 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))
4.891 * [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)))
4.892 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.892 * [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
4.892 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.892 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
4.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
4.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
4.892 * [taylor]: Taking taylor expansion of 1/3 in N
4.892 * [backup-simplify]: Simplify 1/3 into 1/3
4.892 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
4.892 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
4.892 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
4.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.893 * [taylor]: Taking taylor expansion of 1.0 in N
4.893 * [backup-simplify]: Simplify 1.0 into 1.0
4.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.893 * [taylor]: Taking taylor expansion of N in N
4.893 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify 1 into 1
4.893 * [backup-simplify]: Simplify (/ 1 1) into 1
4.894 * [backup-simplify]: Simplify (- 1) into -1
4.894 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.894 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.894 * [taylor]: Taking taylor expansion of N in N
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 1 into 1
4.894 * [backup-simplify]: Simplify (* -1 -1) into 1
4.895 * [backup-simplify]: Simplify (* 1 1) into 1
4.895 * [backup-simplify]: Simplify (/ 1 1) into 1
4.898 * [backup-simplify]: Simplify (log 1) into 0
4.898 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.898 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.899 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.899 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.899 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.899 * [taylor]: Taking taylor expansion of -1 in N
4.899 * [backup-simplify]: Simplify -1 into -1
4.899 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.900 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.900 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.900 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N
4.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N
4.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N
4.900 * [taylor]: Taking taylor expansion of 1/3 in N
4.900 * [backup-simplify]: Simplify 1/3 into 1/3
4.900 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N
4.900 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N
4.900 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N
4.900 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
4.900 * [taylor]: Taking taylor expansion of 1.0 in N
4.900 * [backup-simplify]: Simplify 1.0 into 1.0
4.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.900 * [taylor]: Taking taylor expansion of N in N
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify (/ 1 1) into 1
4.901 * [backup-simplify]: Simplify (- 1) into -1
4.902 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.902 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.902 * [taylor]: Taking taylor expansion of N in N
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 1 into 1
4.902 * [backup-simplify]: Simplify (* -1 -1) into 1
4.902 * [backup-simplify]: Simplify (* 1 1) into 1
4.903 * [backup-simplify]: Simplify (/ 1 1) into 1
4.903 * [backup-simplify]: Simplify (log 1) into 0
4.904 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.904 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.904 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.904 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.904 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.904 * [taylor]: Taking taylor expansion of -1 in N
4.904 * [backup-simplify]: Simplify -1 into -1
4.904 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.905 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.907 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
4.908 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
4.909 * [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))
4.909 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.910 * [backup-simplify]: Simplify (- 0) into 0
4.910 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.911 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0)
4.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.913 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0)
4.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0
4.917 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.918 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666)
4.920 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))
4.921 * [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))))
4.922 * [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))))
4.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.923 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.924 * [backup-simplify]: Simplify (- 0) into 0
4.924 * [backup-simplify]: Simplify (+ 0 0) into 0
4.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0
4.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.928 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0
4.936 * [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
4.937 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.937 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333)
4.942 * [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))
4.945 * [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))))
4.946 * [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))))
4.952 * [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))))
4.952 * * * [progress]: simplifying candidates
4.955 * [simplify]: Simplifying:
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (* (+ N 1.0) N) (* (+ N 1.0) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (+ 1 1)
  (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))))
  (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (* (* (+ N 1.0) N) (* (+ N 1.0) N))
  (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))))
  (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))
  (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))
  (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))
  (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))
  (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))
  (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))
  (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (* (cbrt N) (cbrt N))
  (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* 1 1)
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))
  (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))))
  (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N))))
  (* (cbrt (* (+ N 1.0) N)) 1)
  (* (cbrt N) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))
  (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N)))
  (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N)))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (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))))
4.958 * * [simplify]: iteration 0: 152 enodes
5.002 * * [simplify]: iteration 1: 380 enodes
5.188 * * [simplify]: iteration 2: 1583 enodes
5.650 * * [simplify]: iteration complete: 5001 enodes
5.650 * * [simplify]: Extracting #0: cost 44 inf + 0
5.653 * * [simplify]: Extracting #1: cost 751 inf + 3
5.660 * * [simplify]: Extracting #2: cost 1454 inf + 2158
5.681 * * [simplify]: Extracting #3: cost 1830 inf + 29221
5.716 * * [simplify]: Extracting #4: cost 1087 inf + 207926
5.801 * * [simplify]: Extracting #5: cost 395 inf + 451039
5.904 * * [simplify]: Extracting #6: cost 174 inf + 486106
6.020 * * [simplify]: Extracting #7: cost 101 inf + 501315
6.111 * * [simplify]: Extracting #8: cost 65 inf + 510919
6.243 * * [simplify]: Extracting #9: cost 22 inf + 532482
6.383 * * [simplify]: Extracting #10: cost 1 inf + 545200
6.504 * * [simplify]: Extracting #11: cost 0 inf + 544369
6.636 * * [simplify]: Extracting #12: cost 0 inf + 544330
6.782 * [simplify]: Simplified to:
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* 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 (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* 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 (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))
  (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  2/3
  2
  (* (* N (+ 1.0 N)) (* N (+ 1.0 N)))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
  2
  (+ (log (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))))
  (+ (log (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))))
  (exp (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))
  (* (* N (+ 1.0 N)) (* N (+ 1.0 N)))
  (* (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))))
  (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))
  (* (* N (+ 1.0 N)) (* N (+ 1.0 N)))
  (fabs (cbrt (* N (+ 1.0 N))))
  (fabs (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)))
  (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (* (+ 1.0 N) (* (- N 1.0) N))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (* (+ 1.0 N) (* (- N 1.0) N))))
  (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))))
  (* (cbrt (* (+ 1.0 N) (* (- N 1.0) N))) (cbrt (* (+ 1.0 N) (* (- N 1.0) N))))
  (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))
  (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))
  (* (cbrt N) (cbrt N))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (* N (+ 1.0 N)))
  (cbrt (* N (+ 1.0 N)))
  1
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
  (cbrt (* N (+ 1.0 N)))
  (cbrt (* N (+ 1.0 N)))
  2/3
  2
  (* (cbrt (+ 1.0 N)) (cbrt (* N (+ 1.0 N))))
  (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))
  (cbrt (* N (+ 1.0 N)))
  (* (cbrt (* N (+ 1.0 N))) (cbrt N))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ 1.0 N) (* (- N 1.0) N))))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ 1.0 N) (* (- N 1.0) N))))
  (+ (* (exp (* 1/3 (+ (log N) (log 1.0)))) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (+ (exp (* 1/3 (+ (log N) (log 1.0)))) (* -1/6 (/ (exp (* 1/3 (+ (log N) (log 1.0)))) (* (/ 1.0 N) (/ 1.0 N))))))
  (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ (/ 1 (* N N)) (* N N))))) (* (cbrt (/ 1 N)) 0.3333333333333333))
  (+ (- (* 0.3333333333333333 (* (/ (cbrt -1) N) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (/ 0.1111111111111111 (* (/ N (cbrt -1)) (/ N (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N))))))))
  (+ (* (exp (* 1/3 (+ (log N) (log 1.0)))) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (+ (exp (* 1/3 (+ (log N) (log 1.0)))) (* -1/6 (/ (exp (* 1/3 (+ (log N) (log 1.0)))) (* (/ 1.0 N) (/ 1.0 N))))))
  (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ (/ 1 (* N N)) (* N N))))) (* (cbrt (/ 1 N)) 0.3333333333333333))
  (+ (- (* 0.3333333333333333 (* (/ (cbrt -1) N) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (/ 0.1111111111111111 (* (/ N (cbrt -1)) (/ N (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N))))))))
  (+ (* (exp (* 1/3 (+ (log N) (log 1.0)))) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (+ (exp (* 1/3 (+ (log N) (log 1.0)))) (* -1/6 (/ (exp (* 1/3 (+ (log N) (log 1.0)))) (* (/ 1.0 N) (/ 1.0 N))))))
  (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ (/ 1 (* N N)) (* N N))))) (* (cbrt (/ 1 N)) 0.3333333333333333))
  (+ (- (* 0.3333333333333333 (* (/ (cbrt -1) N) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (/ 0.1111111111111111 (* (/ N (cbrt -1)) (/ N (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N))))))))
  (+ (+ (* (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N)))) (* (* N N) 0.5555555555555556)) (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N))))) (* 0.6666666666666666 (- (* (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N)))) N) (/ (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N)))) (* (/ 1.0 N) (/ 1.0 N))))))
  (- (+ (pow (/ 1 N) -4/3) (* (cbrt N) 0.6666666666666666)) (* 0.1111111111111111 (cbrt (/ (/ 1 N) N))))
  (* (* (cbrt -1) (cbrt -1)) (+ (cbrt (* (* N N) (* N N))) (- (* (cbrt N) 0.6666666666666666) (* 0.1111111111111111 (cbrt (/ (/ 1 N) N))))))
6.791 * * * [progress]: adding candidates to table
7.339 * * [progress]: iteration 4 / 4
7.340 * * * [progress]: picking best candidate
7.388 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))>
7.388 * * * [progress]: localizing error
7.415 * * * [progress]: generating rewritten candidates
7.415 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2)
7.424 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2)
7.425 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2)
7.426 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1)
7.428 * * * [progress]: generating series expansions
7.428 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2)
7.428 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3)
7.428 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0
7.428 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
7.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
7.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
7.429 * [taylor]: Taking taylor expansion of 1/3 in N
7.429 * [backup-simplify]: Simplify 1/3 into 1/3
7.429 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
7.429 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.429 * [taylor]: Taking taylor expansion of N in N
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [backup-simplify]: Simplify (* 1 1) into 1
7.429 * [backup-simplify]: Simplify (log 1) into 0
7.430 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.430 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
7.430 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
7.430 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
7.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
7.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
7.430 * [taylor]: Taking taylor expansion of 1/3 in N
7.430 * [backup-simplify]: Simplify 1/3 into 1/3
7.430 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
7.430 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.430 * [taylor]: Taking taylor expansion of N in N
7.430 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify 1 into 1
7.430 * [backup-simplify]: Simplify (* 1 1) into 1
7.431 * [backup-simplify]: Simplify (log 1) into 0
7.431 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.431 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
7.431 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
7.431 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
7.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.433 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
7.434 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.434 * [backup-simplify]: Simplify 0 into 0
7.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.437 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
7.438 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.438 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.442 * [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
7.443 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
7.445 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.445 * [backup-simplify]: Simplify 0 into 0
7.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.457 * [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
7.458 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0
7.463 * [backup-simplify]: Simplify (* (exp (* 2/3 (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
7.463 * [backup-simplify]: Simplify 0 into 0
7.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.483 * [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
7.484 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0
7.487 * [backup-simplify]: Simplify (* (exp (* 2/3 (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
7.487 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.504 * [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
7.505 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
7.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0
7.509 * [backup-simplify]: Simplify (* (exp (* 2/3 (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
7.509 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
7.510 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3)
7.510 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0
7.510 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
7.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
7.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
7.510 * [taylor]: Taking taylor expansion of 1/3 in N
7.510 * [backup-simplify]: Simplify 1/3 into 1/3
7.510 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
7.510 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
7.510 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.510 * [taylor]: Taking taylor expansion of N in N
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify 1 into 1
7.510 * [backup-simplify]: Simplify (* 1 1) into 1
7.510 * [backup-simplify]: Simplify (/ 1 1) into 1
7.511 * [backup-simplify]: Simplify (log 1) into 0
7.511 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.511 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.511 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.511 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
7.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
7.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
7.511 * [taylor]: Taking taylor expansion of 1/3 in N
7.511 * [backup-simplify]: Simplify 1/3 into 1/3
7.511 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
7.511 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
7.511 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.511 * [taylor]: Taking taylor expansion of N in N
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify 1 into 1
7.512 * [backup-simplify]: Simplify (* 1 1) into 1
7.512 * [backup-simplify]: Simplify (/ 1 1) into 1
7.513 * [backup-simplify]: Simplify (log 1) into 0
7.513 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.513 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.513 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.514 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.517 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
7.518 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.518 * [backup-simplify]: Simplify 0 into 0
7.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.524 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
7.526 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.526 * [backup-simplify]: Simplify 0 into 0
7.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.534 * [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
7.534 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
7.537 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.550 * [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
7.550 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.552 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
7.555 * [backup-simplify]: Simplify (* (exp (* -2/3 (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
7.555 * [backup-simplify]: Simplify 0 into 0
7.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.574 * [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
7.575 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
7.581 * [backup-simplify]: Simplify (* (exp (* -2/3 (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
7.581 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.611 * [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
7.612 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
7.617 * [backup-simplify]: Simplify (* (exp (* -2/3 (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
7.617 * [backup-simplify]: Simplify 0 into 0
7.617 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3)
7.617 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
7.617 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0
7.617 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
7.617 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
7.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
7.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
7.617 * [taylor]: Taking taylor expansion of 1/3 in N
7.617 * [backup-simplify]: Simplify 1/3 into 1/3
7.617 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
7.617 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
7.617 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.617 * [taylor]: Taking taylor expansion of N in N
7.617 * [backup-simplify]: Simplify 0 into 0
7.617 * [backup-simplify]: Simplify 1 into 1
7.618 * [backup-simplify]: Simplify (* 1 1) into 1
7.618 * [backup-simplify]: Simplify (/ 1 1) into 1
7.618 * [backup-simplify]: Simplify (log 1) into 0
7.619 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.619 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.619 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.619 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
7.619 * [taylor]: Taking taylor expansion of (cbrt -1) in N
7.619 * [taylor]: Taking taylor expansion of -1 in N
7.619 * [backup-simplify]: Simplify -1 into -1
7.619 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
7.620 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
7.620 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
7.620 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
7.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
7.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
7.620 * [taylor]: Taking taylor expansion of 1/3 in N
7.620 * [backup-simplify]: Simplify 1/3 into 1/3
7.620 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
7.620 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
7.620 * [taylor]: Taking taylor expansion of (pow N 2) in N
7.620 * [taylor]: Taking taylor expansion of N in N
7.620 * [backup-simplify]: Simplify 0 into 0
7.620 * [backup-simplify]: Simplify 1 into 1
7.620 * [backup-simplify]: Simplify (* 1 1) into 1
7.620 * [backup-simplify]: Simplify (/ 1 1) into 1
7.621 * [backup-simplify]: Simplify (log 1) into 0
7.621 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.621 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.621 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.621 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
7.621 * [taylor]: Taking taylor expansion of (cbrt -1) in N
7.621 * [taylor]: Taking taylor expansion of -1 in N
7.621 * [backup-simplify]: Simplify -1 into -1
7.622 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
7.622 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
7.623 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
7.624 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
7.625 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
7.626 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.629 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
7.630 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.631 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0
7.631 * [backup-simplify]: Simplify 0 into 0
7.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
7.634 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
7.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.640 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
7.642 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.643 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0
7.643 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
7.645 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.649 * [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
7.650 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
7.652 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.653 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0
7.653 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
7.655 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.663 * [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
7.663 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
7.666 * [backup-simplify]: Simplify (* (exp (* -2/3 (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
7.667 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0
7.667 * [backup-simplify]: Simplify 0 into 0
7.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
7.669 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
7.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.679 * [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
7.680 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.682 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
7.686 * [backup-simplify]: Simplify (* (exp (* -2/3 (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
7.688 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0
7.688 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
7.692 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
7.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.724 * [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
7.724 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
7.729 * [backup-simplify]: Simplify (* (exp (* -2/3 (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
7.730 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0
7.730 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2))
7.731 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2)
7.731 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
7.732 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
7.732 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
7.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
7.732 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
7.732 * [taylor]: Taking taylor expansion of 1/3 in N
7.732 * [backup-simplify]: Simplify 1/3 into 1/3
7.732 * [taylor]: Taking taylor expansion of (log N) in N
7.732 * [taylor]: Taking taylor expansion of N in N
7.732 * [backup-simplify]: Simplify 0 into 0
7.732 * [backup-simplify]: Simplify 1 into 1
7.732 * [backup-simplify]: Simplify (log 1) into 0
7.732 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.732 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
7.732 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
7.732 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
7.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
7.732 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
7.732 * [taylor]: Taking taylor expansion of 1/3 in N
7.732 * [backup-simplify]: Simplify 1/3 into 1/3
7.733 * [taylor]: Taking taylor expansion of (log N) in N
7.733 * [taylor]: Taking taylor expansion of N in N
7.733 * [backup-simplify]: Simplify 0 into 0
7.733 * [backup-simplify]: Simplify 1 into 1
7.733 * [backup-simplify]: Simplify (log 1) into 0
7.733 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.733 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
7.733 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
7.733 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
7.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.735 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
7.736 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.736 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.738 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
7.740 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.740 * [backup-simplify]: Simplify 0 into 0
7.743 * [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
7.743 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
7.745 * [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
7.745 * [backup-simplify]: Simplify 0 into 0
7.757 * [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
7.758 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
7.762 * [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
7.762 * [backup-simplify]: Simplify 0 into 0
7.779 * [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
7.780 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.782 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
7.786 * [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
7.786 * [backup-simplify]: Simplify 0 into 0
7.817 * [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
7.818 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
7.826 * [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
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
7.827 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
7.827 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
7.827 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
7.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
7.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
7.827 * [taylor]: Taking taylor expansion of 1/3 in N
7.827 * [backup-simplify]: Simplify 1/3 into 1/3
7.827 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
7.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.827 * [taylor]: Taking taylor expansion of N in N
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (/ 1 1) into 1
7.828 * [backup-simplify]: Simplify (log 1) into 0
7.828 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.828 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
7.829 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
7.829 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
7.829 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
7.829 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
7.829 * [taylor]: Taking taylor expansion of 1/3 in N
7.829 * [backup-simplify]: Simplify 1/3 into 1/3
7.829 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
7.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.829 * [taylor]: Taking taylor expansion of N in N
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.829 * [backup-simplify]: Simplify (/ 1 1) into 1
7.830 * [backup-simplify]: Simplify (log 1) into 0
7.830 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.830 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
7.830 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
7.830 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
7.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.833 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
7.834 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.834 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.839 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
7.848 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.848 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.855 * [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
7.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
7.858 * [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
7.858 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.867 * [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
7.868 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
7.870 * [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
7.870 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.880 * [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
7.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
7.884 * [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
7.884 * [backup-simplify]: Simplify 0 into 0
7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.903 * [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
7.904 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
7.908 * [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
7.908 * [backup-simplify]: Simplify 0 into 0
7.908 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
7.909 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
7.909 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
7.909 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
7.909 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
7.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
7.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
7.909 * [taylor]: Taking taylor expansion of 1/3 in N
7.909 * [backup-simplify]: Simplify 1/3 into 1/3
7.909 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
7.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.909 * [taylor]: Taking taylor expansion of N in N
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 1 into 1
7.909 * [backup-simplify]: Simplify (/ 1 1) into 1
7.909 * [backup-simplify]: Simplify (log 1) into 0
7.910 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.910 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
7.910 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
7.910 * [taylor]: Taking taylor expansion of (cbrt -1) in N
7.910 * [taylor]: Taking taylor expansion of -1 in N
7.910 * [backup-simplify]: Simplify -1 into -1
7.910 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
7.910 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
7.910 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
7.911 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
7.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
7.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
7.911 * [taylor]: Taking taylor expansion of 1/3 in N
7.911 * [backup-simplify]: Simplify 1/3 into 1/3
7.911 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
7.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.911 * [taylor]: Taking taylor expansion of N in N
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 1 into 1
7.911 * [backup-simplify]: Simplify (/ 1 1) into 1
7.911 * [backup-simplify]: Simplify (log 1) into 0
7.911 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.911 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
7.912 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
7.912 * [taylor]: Taking taylor expansion of (cbrt -1) in N
7.912 * [taylor]: Taking taylor expansion of -1 in N
7.912 * [backup-simplify]: Simplify -1 into -1
7.912 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
7.912 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
7.913 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
7.913 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
7.916 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.916 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.919 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
7.920 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.921 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
7.921 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.925 * [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
7.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.926 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
7.927 * [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
7.928 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
7.928 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
7.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.936 * [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
7.936 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
7.943 * [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
7.944 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.955 * [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
7.955 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.957 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
7.959 * [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
7.959 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
7.959 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
7.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.992 * [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
7.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
7.997 * [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
7.998 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
7.998 * [backup-simplify]: Simplify 0 into 0
7.998 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
7.998 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2)
7.998 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
7.999 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
7.999 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
7.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
7.999 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
7.999 * [taylor]: Taking taylor expansion of 1/3 in N
7.999 * [backup-simplify]: Simplify 1/3 into 1/3
7.999 * [taylor]: Taking taylor expansion of (log N) in N
7.999 * [taylor]: Taking taylor expansion of N in N
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 1 into 1
7.999 * [backup-simplify]: Simplify (log 1) into 0
7.999 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.999 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
7.999 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
7.999 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
7.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
7.999 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
7.999 * [taylor]: Taking taylor expansion of 1/3 in N
7.999 * [backup-simplify]: Simplify 1/3 into 1/3
7.999 * [taylor]: Taking taylor expansion of (log N) in N
7.999 * [taylor]: Taking taylor expansion of N in N
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 1 into 1
8.000 * [backup-simplify]: Simplify (log 1) into 0
8.000 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.000 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.000 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.000 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.001 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.002 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.002 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.005 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.006 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.006 * [backup-simplify]: Simplify 0 into 0
8.010 * [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
8.010 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.012 * [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
8.012 * [backup-simplify]: Simplify 0 into 0
8.018 * [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
8.018 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.022 * [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
8.022 * [backup-simplify]: Simplify 0 into 0
8.039 * [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
8.039 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.043 * [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
8.043 * [backup-simplify]: Simplify 0 into 0
8.064 * [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
8.065 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.069 * [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
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.069 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.069 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.069 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.069 * [taylor]: Taking taylor expansion of 1/3 in N
8.069 * [backup-simplify]: Simplify 1/3 into 1/3
8.069 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.069 * [taylor]: Taking taylor expansion of N in N
8.070 * [backup-simplify]: Simplify 0 into 0
8.070 * [backup-simplify]: Simplify 1 into 1
8.070 * [backup-simplify]: Simplify (/ 1 1) into 1
8.070 * [backup-simplify]: Simplify (log 1) into 0
8.070 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.070 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.070 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.070 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.071 * [taylor]: Taking taylor expansion of 1/3 in N
8.071 * [backup-simplify]: Simplify 1/3 into 1/3
8.071 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.071 * [taylor]: Taking taylor expansion of N in N
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify (/ 1 1) into 1
8.071 * [backup-simplify]: Simplify (log 1) into 0
8.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.071 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.072 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.072 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.074 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.074 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.078 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.081 * [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
8.081 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.083 * [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
8.083 * [backup-simplify]: Simplify 0 into 0
8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.089 * [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
8.089 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.092 * [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
8.092 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.104 * [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
8.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.110 * [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
8.110 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.143 * [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
8.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.153 * [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
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.153 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.153 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
8.153 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.153 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.154 * [taylor]: Taking taylor expansion of 1/3 in N
8.154 * [backup-simplify]: Simplify 1/3 into 1/3
8.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.154 * [taylor]: Taking taylor expansion of N in N
8.154 * [backup-simplify]: Simplify 0 into 0
8.154 * [backup-simplify]: Simplify 1 into 1
8.154 * [backup-simplify]: Simplify (/ 1 1) into 1
8.155 * [backup-simplify]: Simplify (log 1) into 0
8.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.155 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.155 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.155 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.155 * [taylor]: Taking taylor expansion of -1 in N
8.155 * [backup-simplify]: Simplify -1 into -1
8.156 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.157 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.157 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.157 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.157 * [taylor]: Taking taylor expansion of 1/3 in N
8.157 * [backup-simplify]: Simplify 1/3 into 1/3
8.157 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.157 * [taylor]: Taking taylor expansion of N in N
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 1 into 1
8.157 * [backup-simplify]: Simplify (/ 1 1) into 1
8.158 * [backup-simplify]: Simplify (log 1) into 0
8.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.158 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.159 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.159 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.159 * [taylor]: Taking taylor expansion of -1 in N
8.159 * [backup-simplify]: Simplify -1 into -1
8.159 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.160 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.160 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.161 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.169 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.170 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
8.170 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.175 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.175 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.175 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.179 * [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
8.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.181 * [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
8.182 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.182 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.189 * [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
8.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.192 * [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
8.193 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.205 * [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
8.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.208 * [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
8.209 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
8.209 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.227 * [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
8.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.233 * [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
8.234 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
8.234 * [backup-simplify]: Simplify 0 into 0
8.234 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
8.234 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1)
8.235 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
8.235 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
8.235 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.235 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.235 * [taylor]: Taking taylor expansion of 1/3 in N
8.235 * [backup-simplify]: Simplify 1/3 into 1/3
8.235 * [taylor]: Taking taylor expansion of (log N) in N
8.235 * [taylor]: Taking taylor expansion of N in N
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 1 into 1
8.235 * [backup-simplify]: Simplify (log 1) into 0
8.235 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.235 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.236 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.236 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.236 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.236 * [taylor]: Taking taylor expansion of 1/3 in N
8.236 * [backup-simplify]: Simplify 1/3 into 1/3
8.236 * [taylor]: Taking taylor expansion of (log N) in N
8.236 * [taylor]: Taking taylor expansion of N in N
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 1 into 1
8.236 * [backup-simplify]: Simplify (log 1) into 0
8.237 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.237 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.237 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.237 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.240 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.241 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.241 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.243 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.247 * [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
8.248 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.249 * [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
8.249 * [backup-simplify]: Simplify 0 into 0
8.260 * [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
8.261 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.262 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.264 * [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
8.264 * [backup-simplify]: Simplify 0 into 0
8.280 * [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
8.280 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.286 * [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
8.286 * [backup-simplify]: Simplify 0 into 0
8.318 * [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
8.319 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.327 * [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
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.327 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.327 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.328 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.328 * [taylor]: Taking taylor expansion of 1/3 in N
8.328 * [backup-simplify]: Simplify 1/3 into 1/3
8.328 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.328 * [taylor]: Taking taylor expansion of N in N
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify 1 into 1
8.328 * [backup-simplify]: Simplify (/ 1 1) into 1
8.329 * [backup-simplify]: Simplify (log 1) into 0
8.329 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.329 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.329 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.329 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.329 * [taylor]: Taking taylor expansion of 1/3 in N
8.329 * [backup-simplify]: Simplify 1/3 into 1/3
8.329 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.330 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.330 * [taylor]: Taking taylor expansion of N in N
8.330 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify 1 into 1
8.330 * [backup-simplify]: Simplify (/ 1 1) into 1
8.330 * [backup-simplify]: Simplify (log 1) into 0
8.331 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.331 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.331 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.331 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.334 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.334 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.335 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.335 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.341 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.341 * [backup-simplify]: Simplify 0 into 0
8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.344 * [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
8.344 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.346 * [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
8.346 * [backup-simplify]: Simplify 0 into 0
8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.352 * [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
8.353 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.355 * [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
8.355 * [backup-simplify]: Simplify 0 into 0
8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.365 * [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
8.365 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.369 * [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
8.369 * [backup-simplify]: Simplify 0 into 0
8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.407 * [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
8.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.416 * [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
8.416 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.416 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.416 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
8.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.416 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.416 * [taylor]: Taking taylor expansion of 1/3 in N
8.417 * [backup-simplify]: Simplify 1/3 into 1/3
8.417 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.417 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.417 * [taylor]: Taking taylor expansion of N in N
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [backup-simplify]: Simplify 1 into 1
8.417 * [backup-simplify]: Simplify (/ 1 1) into 1
8.417 * [backup-simplify]: Simplify (log 1) into 0
8.417 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.417 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.418 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.418 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.418 * [taylor]: Taking taylor expansion of -1 in N
8.418 * [backup-simplify]: Simplify -1 into -1
8.418 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.418 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.418 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.418 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.419 * [taylor]: Taking taylor expansion of 1/3 in N
8.419 * [backup-simplify]: Simplify 1/3 into 1/3
8.419 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.419 * [taylor]: Taking taylor expansion of N in N
8.419 * [backup-simplify]: Simplify 0 into 0
8.419 * [backup-simplify]: Simplify 1 into 1
8.419 * [backup-simplify]: Simplify (/ 1 1) into 1
8.419 * [backup-simplify]: Simplify (log 1) into 0
8.419 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.419 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.420 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.420 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.420 * [taylor]: Taking taylor expansion of -1 in N
8.420 * [backup-simplify]: Simplify -1 into -1
8.420 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.420 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.421 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.421 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.424 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.424 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
8.424 * [backup-simplify]: Simplify 0 into 0
8.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.429 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.430 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.430 * [backup-simplify]: Simplify 0 into 0
8.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.434 * [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
8.434 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.436 * [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
8.437 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.437 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.444 * [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
8.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.447 * [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
8.448 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
8.448 * [backup-simplify]: Simplify 0 into 0
8.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.459 * [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
8.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.463 * [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
8.464 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
8.465 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.484 * [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
8.484 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.494 * [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
8.495 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
8.495 * [backup-simplify]: Simplify 0 into 0
8.495 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
8.495 * * * [progress]: simplifying candidates
8.496 * [simplify]: Simplifying:
  (+ 1/3 1/3)
  (+ 1 1)
  (* N N)
  (* (cbrt N) (cbrt N))
  (+ 1 1)
  (+ (log (cbrt N)) (log (cbrt N)))
  (log (* (cbrt N) (cbrt N)))
  (exp (* (cbrt N) (cbrt N)))
  (* N N)
  (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N))))
  (cbrt (* (cbrt N) (cbrt N)))
  (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))
  (sqrt (* (cbrt N) (cbrt N)))
  (sqrt (* (cbrt N) (cbrt N)))
  (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt N) (cbrt N))
  (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (* (sqrt (cbrt N)) (sqrt (cbrt N)))
  (* (sqrt (cbrt N)) (sqrt (cbrt N)))
  (* 1 1)
  (* (cbrt N) (cbrt N))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (sqrt (cbrt N)))
  (* (cbrt (sqrt N)) (sqrt (cbrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (sqrt (cbrt N)))
  (* (sqrt (cbrt N)) (sqrt (cbrt N)))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt N) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt N) (cbrt (sqrt N)))
  (* (cbrt N) (cbrt 1))
  (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))))
  (* (cbrt N) (sqrt (cbrt N)))
  (* (cbrt N) 1)
  (* (cbrt (cbrt N)) (cbrt N))
  (* (cbrt (sqrt N)) (cbrt N))
  (* (cbrt N) (cbrt N))
  (* (cbrt (cbrt N)) (cbrt N))
  (* (sqrt (cbrt N)) (cbrt N))
  (* (cbrt N) (cbrt N))
  (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))
  (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))
  (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))
  (pow N 2/3)
  (pow (/ 1 N) -2/3)
  (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
8.497 * * [simplify]: iteration 0: 61 enodes
8.511 * * [simplify]: iteration 1: 138 enodes
8.575 * * [simplify]: iteration 2: 723 enodes
9.552 * * [simplify]: iteration complete: 5001 enodes
9.552 * * [simplify]: Extracting #0: cost 29 inf + 0
9.554 * * [simplify]: Extracting #1: cost 1214 inf + 4
9.561 * * [simplify]: Extracting #2: cost 1880 inf + 9958
9.592 * * [simplify]: Extracting #3: cost 1423 inf + 119457
9.668 * * [simplify]: Extracting #4: cost 398 inf + 419643
9.770 * * [simplify]: Extracting #5: cost 2 inf + 577126
9.866 * * [simplify]: Extracting #6: cost 0 inf + 577690
9.933 * [simplify]: Simplified to:
  2/3
  2
  (* N N)
  (* (cbrt N) (cbrt N))
  2
  (* 2/3 (log N))
  (* 2/3 (log N))
  (exp (* (cbrt N) (cbrt N)))
  (* N N)
  (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N))))
  (cbrt (* (cbrt N) (cbrt N)))
  (* N N)
  (fabs (cbrt N))
  (fabs (cbrt N))
  (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  1
  (* (cbrt N) (cbrt N))
  (* (cbrt N) (cbrt (cbrt N)))
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt N)
  (cbrt N)
  1
  (* (cbrt N) (cbrt N))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (cbrt N)
  (cbrt N)
  2/3
  2
  (* (cbrt N) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt N) (cbrt (sqrt N)))
  (cbrt N)
  (* (* (cbrt N) (cbrt (cbrt N))) (cbrt (cbrt N)))
  (* (cbrt N) (sqrt (cbrt N)))
  (cbrt N)
  (* (cbrt N) (cbrt (cbrt N)))
  (* (cbrt N) (cbrt (sqrt N)))
  (* (cbrt N) (cbrt N))
  (* (cbrt N) (cbrt (cbrt N)))
  (* (cbrt N) (sqrt (cbrt N)))
  (* (cbrt N) (cbrt N))
  (* 1/3 (log N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (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))
  (* 1/3 (log N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (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))
  (* 1/3 (log N))
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (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))
  (* (cbrt N) (cbrt N))
  (pow (/ 1 N) -2/3)
  (* (cbrt -1) (* (cbrt -1) (cbrt (* N N))))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
9.942 * * * [progress]: adding candidates to table
10.341 * [progress]: [Phase 3 of 3] Extracting.
10.342 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (/ (cbrt (* (+ 1.0 N) (* (- N 1.0) N))) (cbrt (- N 1.0)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (/ (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (- N 1.0))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))>)
10.343 * * * [regime-changes]: Trying 1 branch expressions: (N)
10.343 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (/ (cbrt (* (+ 1.0 N) (* (- N 1.0) N))) (cbrt (- N 1.0)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (/ (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (- N 1.0))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))>)
10.423 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
10.423 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
10.423 * * [simplify]: iteration 0: 7 enodes
10.424 * * [simplify]: iteration 1: 12 enodes
10.425 * * [simplify]: iteration complete: 12 enodes
10.425 * * [simplify]: Extracting #0: cost 1 inf + 0
10.425 * * [simplify]: Extracting #1: cost 3 inf + 0
10.425 * * [simplify]: Extracting #2: cost 4 inf + 1
10.425 * * [simplify]: Extracting #3: cost 5 inf + 2
10.425 * * [simplify]: Extracting #4: cost 0 inf + 513
10.426 * [simplify]: Simplified to:
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
13.326 * [regime-testing]: Baseline error score: 0.3417828568411558
13.337 * [regime-testing]: Oracle error score: 0.309028762579373
13.353 * [regime-testing]: End program error score: 0.3417828568411558
13.461 * [regime-testing]: Target error score: 0.3436580912454563