41.268 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.049 * * * [progress]: [2/2] Setting up program.
0.056 * [progress]: [Phase 2 of 3] Improving.
0.056 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.056 * * [simplify]: iteration 0: 6 enodes
0.058 * * [simplify]: iteration 1: 9 enodes
0.059 * * [simplify]: iteration 2: 10 enodes
0.060 * * [simplify]: iteration complete: 10 enodes
0.060 * * [simplify]: Extracting #0: cost 1 inf + 0
0.060 * * [simplify]: Extracting #1: cost 4 inf + 0
0.060 * * [simplify]: Extracting #2: cost 6 inf + 0
0.060 * * [simplify]: Extracting #3: cost 6 inf + 1
0.060 * * [simplify]: Extracting #4: cost 0 inf + 735
0.060 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.061 * * [progress]: iteration 1 / 4
0.061 * * * [progress]: picking best candidate
0.064 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.064 * * * [progress]: localizing error
0.082 * * * [progress]: generating rewritten candidates
0.082 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.087 * * * [progress]: generating series expansions
0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.087 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.087 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.087 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.087 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.088 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.088 * [taylor]: Taking taylor expansion of (atan N) in N
0.088 * [backup-simplify]: Simplify (atan N) into (atan N)
0.088 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.088 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.088 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.088 * [taylor]: Taking taylor expansion of (atan N) in N
0.088 * [backup-simplify]: Simplify (atan N) into (atan N)
0.088 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.088 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.088 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
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
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [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
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [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
0.091 * [backup-simplify]: Simplify (- 0) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.092 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.092 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.092 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.092 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.092 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.092 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.092 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.092 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.092 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.092 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.092 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.092 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.092 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.092 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.092 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (- 0) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [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
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.095 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.095 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.096 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.096 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.096 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.096 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.096 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.096 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.096 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.096 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.096 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.096 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.096 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.096 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.096 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 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 (- 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 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 0) into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.101 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.101 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.101 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.101 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.101 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [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 (+ N 1.0)) into (atan (+ N 1.0))
0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.102 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.102 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.102 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.102 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.103 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.103 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.103 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.103 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.103 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.103 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.104 * * * [progress]: simplifying candidates
0.105 * [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))
0.105 * * [simplify]: iteration 0: 40 enodes
0.119 * * [simplify]: iteration 1: 76 enodes
0.145 * * [simplify]: iteration 2: 150 enodes
0.174 * * [simplify]: iteration 3: 284 enodes
0.232 * * [simplify]: iteration 4: 611 enodes
0.489 * * [simplify]: iteration 5: 1579 enodes
1.264 * * [simplify]: iteration complete: 5000 enodes
1.264 * * [simplify]: Extracting #0: cost 23 inf + 0
1.265 * * [simplify]: Extracting #1: cost 293 inf + 1
1.268 * * [simplify]: Extracting #2: cost 1150 inf + 46
1.278 * * [simplify]: Extracting #3: cost 1231 inf + 13638
1.312 * * [simplify]: Extracting #4: cost 809 inf + 247992
1.397 * * [simplify]: Extracting #5: cost 161 inf + 656102
1.510 * * [simplify]: Extracting #6: cost 8 inf + 750455
1.637 * * [simplify]: Extracting #7: cost 0 inf + 753183
1.746 * [simplify]: Simplified to:
  1.0
  (+ (* N (+ 1.0 N)) 1)
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (* (- (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 N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N)))))
  (- (atan N))
  (* (- (atan (+ 1.0 N)) (atan N)) (+ (atan N) (atan (+ 1.0 N))))
  (+ (atan N) (atan (+ 1.0 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N))))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (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))
1.747 * * * [progress]: adding candidates to table
1.856 * * [progress]: iteration 2 / 4
1.856 * * * [progress]: picking best candidate
1.859 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.859 * * * [progress]: localizing error
1.868 * * * [progress]: generating rewritten candidates
1.868 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.868 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
1.885 * * * [progress]: generating series expansions
1.885 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.885 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.885 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
1.885 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
1.885 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.885 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
1.885 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.886 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.886 * [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)))
1.886 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
1.886 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
1.886 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.886 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
1.886 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.887 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.887 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.887 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.887 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.887 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.887 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.888 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.888 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.888 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
1.888 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
1.888 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
1.888 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.888 * [taylor]: Taking taylor expansion of N in N
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.888 * [taylor]: Taking taylor expansion of N in N
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [taylor]: Taking taylor expansion of 1.0 in N
1.888 * [backup-simplify]: Simplify 1.0 into 1.0
1.888 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
1.888 * [taylor]: Taking taylor expansion of N in N
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
1.888 * [taylor]: Taking taylor expansion of N in N
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.889 * [taylor]: Taking taylor expansion of 1.0 in N
1.889 * [backup-simplify]: Simplify 1.0 into 1.0
1.889 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.890 * [backup-simplify]: Simplify (* 0 1.0) into 0
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify (+ 1 0) into 1
1.891 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
1.891 * [backup-simplify]: Simplify 1.0 into 1.0
1.891 * [backup-simplify]: Simplify (+ 0 0) into 0
1.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
1.892 * [backup-simplify]: Simplify 1 into 1
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
1.893 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
1.894 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
1.901 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
1.901 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
1.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.901 * [taylor]: Taking taylor expansion of N in N
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.902 * [backup-simplify]: Simplify (/ 1 1) into 1
1.902 * [taylor]: Taking taylor expansion of 1.0 in N
1.902 * [backup-simplify]: Simplify 1.0 into 1.0
1.902 * [taylor]: Taking taylor expansion of N in N
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 1 into 1
1.902 * [backup-simplify]: Simplify (+ 1 0) into 1
1.903 * [backup-simplify]: Simplify (/ 1 1) into 1
1.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
1.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.903 * [taylor]: Taking taylor expansion of N in N
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (/ 1 1) into 1
1.903 * [taylor]: Taking taylor expansion of 1.0 in N
1.903 * [backup-simplify]: Simplify 1.0 into 1.0
1.903 * [taylor]: Taking taylor expansion of N in N
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (+ 1 0) into 1
1.904 * [backup-simplify]: Simplify (/ 1 1) into 1
1.904 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.907 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
1.907 * [backup-simplify]: Simplify 1.0 into 1.0
1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.910 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.911 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.912 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.915 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (+ 0 0) into 0
1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.920 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.921 * [backup-simplify]: Simplify (+ 0 0) into 0
1.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
1.922 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
1.922 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
1.922 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.922 * [taylor]: Taking taylor expansion of -1 in N
1.922 * [backup-simplify]: Simplify -1 into -1
1.922 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.922 * [taylor]: Taking taylor expansion of 1.0 in N
1.922 * [backup-simplify]: Simplify 1.0 into 1.0
1.922 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.922 * [taylor]: Taking taylor expansion of N in N
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 1 into 1
1.923 * [backup-simplify]: Simplify (/ 1 1) into 1
1.923 * [taylor]: Taking taylor expansion of N in N
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify 1 into 1
1.923 * [backup-simplify]: Simplify (- 1) into -1
1.923 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.924 * [backup-simplify]: Simplify (/ -1 1) into -1
1.924 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
1.924 * [taylor]: Taking taylor expansion of -1 in N
1.924 * [backup-simplify]: Simplify -1 into -1
1.924 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
1.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
1.924 * [taylor]: Taking taylor expansion of 1.0 in N
1.924 * [backup-simplify]: Simplify 1.0 into 1.0
1.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.924 * [taylor]: Taking taylor expansion of N in N
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [backup-simplify]: Simplify (/ 1 1) into 1
1.924 * [taylor]: Taking taylor expansion of N in N
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [backup-simplify]: Simplify (- 1) into -1
1.925 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.925 * [backup-simplify]: Simplify (/ -1 1) into -1
1.925 * [backup-simplify]: Simplify (* -1 -1) into 1
1.925 * [backup-simplify]: Simplify 1 into 1
1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.926 * [backup-simplify]: Simplify (- 0) into 0
1.926 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.927 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
1.928 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
1.929 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.929 * [backup-simplify]: Simplify (- 0) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.932 * [backup-simplify]: Simplify (- 0) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.937 * [backup-simplify]: Simplify (- 0) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify (- 0) into 0
1.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.942 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
1.942 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.943 * [backup-simplify]: Simplify (- 0) into 0
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
1.945 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (- 0) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
1.949 * * * [progress]: simplifying candidates
1.949 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (atan2 1.0 (+ (* 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))
1.949 * * [simplify]: iteration 0: 55 enodes
1.969 * * [simplify]: iteration 1: 126 enodes
2.007 * * [simplify]: iteration 2: 337 enodes
2.167 * * [simplify]: iteration 3: 1156 enodes
3.040 * * [simplify]: iteration complete: 5001 enodes
3.040 * * [simplify]: Extracting #0: cost 23 inf + 0
3.040 * * [simplify]: Extracting #1: cost 381 inf + 0
3.044 * * [simplify]: Extracting #2: cost 1323 inf + 652
3.057 * * [simplify]: Extracting #3: cost 1631 inf + 36860
3.095 * * [simplify]: Extracting #4: cost 465 inf + 247248
3.154 * * [simplify]: Extracting #5: cost 33 inf + 351026
3.213 * * [simplify]: Extracting #6: cost 2 inf + 356490
3.274 * * [simplify]: Extracting #7: cost 0 inf + 356996
3.344 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (exp (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))))
  (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* 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)))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (sqrt N) (+ N 1.0))
  (+ N 1.0)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* N (+ N 1.0))
  (* N (+ N 1.0))
  (+ (* (* N N) (* N N)) (* (* N 1.0) (* 1.0 1.0)))
  (* (- N 1.0) (* N (+ N 1.0)))
  (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))
  (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))
  (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))
  (+ (* N N) (* 1.0 N))
  (+ (* N N) (* 1.0 N))
  (+ (* N N) (* 1.0 N))
3.345 * * * [progress]: adding candidates to table
3.449 * * [progress]: iteration 3 / 4
3.449 * * * [progress]: picking best candidate
3.464 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))>
3.464 * * * [progress]: localizing error
3.488 * * * [progress]: generating rewritten candidates
3.489 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
3.490 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2)
3.490 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1)
3.491 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2)
3.501 * * * [progress]: generating series expansions
3.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
3.502 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
3.502 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
3.502 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.502 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.502 * [taylor]: Taking taylor expansion of 1/3 in N
3.502 * [backup-simplify]: Simplify 1/3 into 1/3
3.502 * [taylor]: Taking taylor expansion of (log N) in N
3.502 * [taylor]: Taking taylor expansion of N in N
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [backup-simplify]: Simplify (log 1) into 0
3.503 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.503 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.503 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.503 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.503 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.503 * [taylor]: Taking taylor expansion of 1/3 in N
3.503 * [backup-simplify]: Simplify 1/3 into 1/3
3.503 * [taylor]: Taking taylor expansion of (log N) in N
3.503 * [taylor]: Taking taylor expansion of N in N
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (log 1) into 0
3.503 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.503 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.503 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.504 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.505 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
3.506 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.506 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.509 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
3.510 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.510 * [backup-simplify]: Simplify 0 into 0
3.513 * [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
3.514 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
3.515 * [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
3.515 * [backup-simplify]: Simplify 0 into 0
3.525 * [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
3.526 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.527 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
3.530 * [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
3.530 * [backup-simplify]: Simplify 0 into 0
3.548 * [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
3.548 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
3.554 * [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
3.554 * [backup-simplify]: Simplify 0 into 0
3.574 * [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
3.574 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.576 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
3.582 * [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
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.582 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
3.582 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
3.582 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.583 * [taylor]: Taking taylor expansion of 1/3 in N
3.583 * [backup-simplify]: Simplify 1/3 into 1/3
3.583 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.583 * [taylor]: Taking taylor expansion of N in N
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 1 into 1
3.583 * [backup-simplify]: Simplify (/ 1 1) into 1
3.583 * [backup-simplify]: Simplify (log 1) into 0
3.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.584 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.584 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.584 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.584 * [taylor]: Taking taylor expansion of 1/3 in N
3.584 * [backup-simplify]: Simplify 1/3 into 1/3
3.584 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.584 * [taylor]: Taking taylor expansion of N in N
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify (/ 1 1) into 1
3.585 * [backup-simplify]: Simplify (log 1) into 0
3.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.586 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.586 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.586 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.588 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.590 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.596 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.596 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.600 * [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
3.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.602 * [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
3.602 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.608 * [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
3.609 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.611 * [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
3.611 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.621 * [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
3.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.622 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.624 * [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
3.624 * [backup-simplify]: Simplify 0 into 0
3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.646 * [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
3.646 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.651 * [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
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
3.651 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.651 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
3.651 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.651 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.651 * [taylor]: Taking taylor expansion of 1/3 in N
3.651 * [backup-simplify]: Simplify 1/3 into 1/3
3.651 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.652 * [taylor]: Taking taylor expansion of N in N
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [backup-simplify]: Simplify (/ 1 1) into 1
3.652 * [backup-simplify]: Simplify (log 1) into 0
3.652 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.652 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.652 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.652 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.652 * [taylor]: Taking taylor expansion of -1 in N
3.652 * [backup-simplify]: Simplify -1 into -1
3.653 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.653 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.653 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.653 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.654 * [taylor]: Taking taylor expansion of 1/3 in N
3.654 * [backup-simplify]: Simplify 1/3 into 1/3
3.654 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.654 * [taylor]: Taking taylor expansion of N in N
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.654 * [backup-simplify]: Simplify (/ 1 1) into 1
3.654 * [backup-simplify]: Simplify (log 1) into 0
3.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.654 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.654 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.654 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.654 * [taylor]: Taking taylor expansion of -1 in N
3.655 * [backup-simplify]: Simplify -1 into -1
3.655 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.655 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.656 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.656 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.658 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.659 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.660 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
3.660 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.666 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.667 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.670 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.671 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.671 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.678 * [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
3.679 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.681 * [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
3.682 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.682 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.694 * [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
3.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.697 * [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
3.698 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
3.698 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.708 * [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
3.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.714 * [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
3.716 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
3.716 * [backup-simplify]: Simplify 0 into 0
3.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.745 * [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
3.745 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.747 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.751 * [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
3.752 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
3.752 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
3.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2)
3.753 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
3.753 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
3.753 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.753 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.753 * [taylor]: Taking taylor expansion of 1/3 in N
3.753 * [backup-simplify]: Simplify 1/3 into 1/3
3.753 * [taylor]: Taking taylor expansion of (log N) in N
3.753 * [taylor]: Taking taylor expansion of N in N
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify 1 into 1
3.753 * [backup-simplify]: Simplify (log 1) into 0
3.754 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.754 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.754 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.754 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.754 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.754 * [taylor]: Taking taylor expansion of 1/3 in N
3.754 * [backup-simplify]: Simplify 1/3 into 1/3
3.754 * [taylor]: Taking taylor expansion of (log N) in N
3.754 * [taylor]: Taking taylor expansion of N in N
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.754 * [backup-simplify]: Simplify (log 1) into 0
3.755 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.755 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.755 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.755 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.756 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
3.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.757 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.759 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
3.760 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.760 * [backup-simplify]: Simplify 0 into 0
3.763 * [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
3.763 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.764 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
3.765 * [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
3.765 * [backup-simplify]: Simplify 0 into 0
3.770 * [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
3.771 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.772 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
3.773 * [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
3.773 * [backup-simplify]: Simplify 0 into 0
3.787 * [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
3.787 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
3.790 * [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
3.790 * [backup-simplify]: Simplify 0 into 0
3.808 * [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
3.809 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.812 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
3.819 * [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
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.819 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
3.819 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
3.819 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.819 * [taylor]: Taking taylor expansion of 1/3 in N
3.819 * [backup-simplify]: Simplify 1/3 into 1/3
3.819 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.819 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.820 * [taylor]: Taking taylor expansion of N in N
3.820 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify 1 into 1
3.820 * [backup-simplify]: Simplify (/ 1 1) into 1
3.820 * [backup-simplify]: Simplify (log 1) into 0
3.821 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.821 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.821 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.821 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.821 * [taylor]: Taking taylor expansion of 1/3 in N
3.821 * [backup-simplify]: Simplify 1/3 into 1/3
3.821 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.821 * [taylor]: Taking taylor expansion of N in N
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 1 into 1
3.821 * [backup-simplify]: Simplify (/ 1 1) into 1
3.822 * [backup-simplify]: Simplify (log 1) into 0
3.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.822 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.822 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.822 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.824 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.825 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.827 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.828 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.828 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.831 * [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
3.832 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.833 * [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
3.833 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.840 * [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
3.840 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.842 * [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
3.842 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.853 * [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
3.853 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.858 * [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
3.859 * [backup-simplify]: Simplify 0 into 0
3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.888 * [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
3.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.893 * [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
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
3.893 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.893 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
3.893 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.893 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.893 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.893 * [taylor]: Taking taylor expansion of 1/3 in N
3.893 * [backup-simplify]: Simplify 1/3 into 1/3
3.893 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.893 * [taylor]: Taking taylor expansion of N in N
3.893 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.894 * [backup-simplify]: Simplify (log 1) into 0
3.894 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.894 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.894 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.894 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.894 * [taylor]: Taking taylor expansion of -1 in N
3.895 * [backup-simplify]: Simplify -1 into -1
3.895 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.895 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.895 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.895 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.895 * [taylor]: Taking taylor expansion of 1/3 in N
3.895 * [backup-simplify]: Simplify 1/3 into 1/3
3.895 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.895 * [taylor]: Taking taylor expansion of N in N
3.896 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (/ 1 1) into 1
3.896 * [backup-simplify]: Simplify (log 1) into 0
3.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.896 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.896 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.896 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.896 * [taylor]: Taking taylor expansion of -1 in N
3.896 * [backup-simplify]: Simplify -1 into -1
3.897 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.897 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.898 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.898 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.904 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.908 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.909 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.910 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.911 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.911 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.919 * [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
3.919 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.922 * [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
3.924 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.937 * [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
3.938 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.943 * [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
3.944 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
3.944 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.961 * [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
3.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.964 * [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
3.965 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.984 * [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
3.984 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.986 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.992 * [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
3.994 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
3.994 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
3.995 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1)
3.995 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
3.995 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
3.995 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.995 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.995 * [taylor]: Taking taylor expansion of 1/3 in N
3.995 * [backup-simplify]: Simplify 1/3 into 1/3
3.995 * [taylor]: Taking taylor expansion of (log N) in N
3.995 * [taylor]: Taking taylor expansion of N in N
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (log 1) into 0
3.996 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.996 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.996 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.996 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.996 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.996 * [taylor]: Taking taylor expansion of 1/3 in N
3.996 * [backup-simplify]: Simplify 1/3 into 1/3
3.996 * [taylor]: Taking taylor expansion of (log N) in N
3.996 * [taylor]: Taking taylor expansion of N in N
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.997 * [backup-simplify]: Simplify (log 1) into 0
3.997 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.998 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.998 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.998 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.000 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
4.001 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.011 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
4.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.014 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.020 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
4.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.023 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.030 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
4.033 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.042 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
4.046 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.068 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.069 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
4.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.074 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
4.074 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
4.074 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.074 * [taylor]: Taking taylor expansion of 1/3 in N
4.074 * [backup-simplify]: Simplify 1/3 into 1/3
4.074 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.074 * [taylor]: Taking taylor expansion of N in N
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify 1 into 1
4.074 * [backup-simplify]: Simplify (/ 1 1) into 1
4.075 * [backup-simplify]: Simplify (log 1) into 0
4.075 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.075 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.075 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.075 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.075 * [taylor]: Taking taylor expansion of 1/3 in N
4.075 * [backup-simplify]: Simplify 1/3 into 1/3
4.075 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.075 * [taylor]: Taking taylor expansion of N in N
4.075 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify 1 into 1
4.076 * [backup-simplify]: Simplify (/ 1 1) into 1
4.076 * [backup-simplify]: Simplify (log 1) into 0
4.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.076 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.076 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.076 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.078 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.079 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.081 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.082 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.086 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.086 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.088 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.088 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.095 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.096 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.098 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.098 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.123 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.143 * [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
4.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.148 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
4.149 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.149 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
4.149 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.149 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.149 * [taylor]: Taking taylor expansion of 1/3 in N
4.149 * [backup-simplify]: Simplify 1/3 into 1/3
4.149 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.149 * [taylor]: Taking taylor expansion of N in N
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 1 into 1
4.149 * [backup-simplify]: Simplify (/ 1 1) into 1
4.149 * [backup-simplify]: Simplify (log 1) into 0
4.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.150 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.150 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.150 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.150 * [taylor]: Taking taylor expansion of -1 in N
4.150 * [backup-simplify]: Simplify -1 into -1
4.151 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.151 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.151 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.151 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.151 * [taylor]: Taking taylor expansion of 1/3 in N
4.151 * [backup-simplify]: Simplify 1/3 into 1/3
4.151 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.152 * [taylor]: Taking taylor expansion of N in N
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 1 into 1
4.152 * [backup-simplify]: Simplify (/ 1 1) into 1
4.152 * [backup-simplify]: Simplify (log 1) into 0
4.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.153 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.153 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.153 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.153 * [taylor]: Taking taylor expansion of -1 in N
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.154 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.155 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.155 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.159 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.161 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.161 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.165 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.166 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.167 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.171 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.171 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.172 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.173 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.174 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.174 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.182 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.183 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.184 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.185 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.185 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.200 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.206 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.208 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.208 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.260 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.262 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.262 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
4.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2)
4.263 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3)
4.263 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0
4.263 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
4.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
4.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
4.263 * [taylor]: Taking taylor expansion of 1/3 in N
4.263 * [backup-simplify]: Simplify 1/3 into 1/3
4.263 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
4.263 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.263 * [taylor]: Taking taylor expansion of N in N
4.263 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify 1 into 1
4.264 * [backup-simplify]: Simplify (* 1 1) into 1
4.264 * [backup-simplify]: Simplify (log 1) into 0
4.264 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.265 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
4.265 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
4.265 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
4.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
4.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
4.265 * [taylor]: Taking taylor expansion of 1/3 in N
4.265 * [backup-simplify]: Simplify 1/3 into 1/3
4.265 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
4.265 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.265 * [taylor]: Taking taylor expansion of N in N
4.265 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify 1 into 1
4.265 * [backup-simplify]: Simplify (* 1 1) into 1
4.265 * [backup-simplify]: Simplify (log 1) into 0
4.266 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.266 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
4.266 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
4.266 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.267 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.268 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
4.268 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.268 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.271 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
4.272 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.272 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.276 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
4.277 * [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
4.277 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.284 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.284 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0
4.287 * [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
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.299 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.299 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0
4.303 * [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
4.303 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.323 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.323 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0
4.331 * [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
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
4.331 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3)
4.331 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0
4.331 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.331 * [taylor]: Taking taylor expansion of 1/3 in N
4.331 * [backup-simplify]: Simplify 1/3 into 1/3
4.331 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.331 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.331 * [taylor]: Taking taylor expansion of N in N
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 1 into 1
4.332 * [backup-simplify]: Simplify (* 1 1) into 1
4.332 * [backup-simplify]: Simplify (/ 1 1) into 1
4.332 * [backup-simplify]: Simplify (log 1) into 0
4.333 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.333 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.333 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.333 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.333 * [taylor]: Taking taylor expansion of 1/3 in N
4.333 * [backup-simplify]: Simplify 1/3 into 1/3
4.333 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.333 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.333 * [taylor]: Taking taylor expansion of N in N
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (* 1 1) into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.343 * [backup-simplify]: Simplify (log 1) into 0
4.343 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.343 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.343 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.344 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.347 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
4.348 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.353 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
4.355 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.362 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
4.365 * [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
4.365 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.376 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.377 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
4.381 * [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
4.381 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.391 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.391 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
4.395 * [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
4.395 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.412 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.413 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
4.417 * [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
4.417 * [backup-simplify]: Simplify 0 into 0
4.417 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3)
4.418 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.418 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0
4.418 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.418 * [taylor]: Taking taylor expansion of 1/3 in N
4.418 * [backup-simplify]: Simplify 1/3 into 1/3
4.418 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.418 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.418 * [taylor]: Taking taylor expansion of N in N
4.418 * [backup-simplify]: Simplify 0 into 0
4.418 * [backup-simplify]: Simplify 1 into 1
4.418 * [backup-simplify]: Simplify (* 1 1) into 1
4.418 * [backup-simplify]: Simplify (/ 1 1) into 1
4.419 * [backup-simplify]: Simplify (log 1) into 0
4.419 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.419 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.419 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.419 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.419 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.419 * [taylor]: Taking taylor expansion of -1 in N
4.419 * [backup-simplify]: Simplify -1 into -1
4.419 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.420 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.420 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.420 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.420 * [taylor]: Taking taylor expansion of 1/3 in N
4.420 * [backup-simplify]: Simplify 1/3 into 1/3
4.420 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.420 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.420 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.420 * [taylor]: Taking taylor expansion of N in N
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify 1 into 1
4.420 * [backup-simplify]: Simplify (* 1 1) into 1
4.421 * [backup-simplify]: Simplify (/ 1 1) into 1
4.421 * [backup-simplify]: Simplify (log 1) into 0
4.421 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.421 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.421 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.421 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.421 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.421 * [taylor]: Taking taylor expansion of -1 in N
4.421 * [backup-simplify]: Simplify -1 into -1
4.422 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.422 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.423 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
4.424 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.426 * [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))
4.426 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
4.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.428 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
4.429 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.430 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.431 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.434 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
4.435 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.436 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0
4.436 * [backup-simplify]: Simplify 0 into 0
4.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.438 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.451 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.451 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
4.454 * [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
4.454 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0
4.454 * [backup-simplify]: Simplify 0 into 0
4.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.456 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.463 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.464 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
4.466 * [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
4.467 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0
4.467 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.469 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.480 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
4.480 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.481 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
4.484 * [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
4.485 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0
4.485 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.487 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.507 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
4.508 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
4.513 * [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
4.514 * [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
4.514 * [backup-simplify]: Simplify 0 into 0
4.515 * [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))
4.515 * * * [progress]: simplifying candidates
4.516 * [simplify]: Simplifying:
  (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))
  (+ 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))
  (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))
  (pow N 2/3)
  (pow (/ 1 N) -2/3)
  (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2))
4.517 * * [simplify]: iteration 0: 61 enodes
4.534 * * [simplify]: iteration 1: 136 enodes
4.590 * * [simplify]: iteration 2: 377 enodes
4.770 * * [simplify]: iteration 3: 1034 enodes
5.538 * * [simplify]: iteration 4: 3735 enodes
7.237 * * [simplify]: iteration complete: 5007 enodes
7.237 * * [simplify]: Extracting #0: cost 29 inf + 0
7.238 * * [simplify]: Extracting #1: cost 497 inf + 1042
7.243 * * [simplify]: Extracting #2: cost 1185 inf + 4306
7.251 * * [simplify]: Extracting #3: cost 994 inf + 56200
7.280 * * [simplify]: Extracting #4: cost 405 inf + 289953
7.332 * * [simplify]: Extracting #5: cost 37 inf + 476436
7.389 * * [simplify]: Extracting #6: cost 0 inf + 498445
7.440 * [simplify]: Simplified to:
  (* 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))
  2/3
  2
  (* N N)
  (* (cbrt N) (cbrt N))
  2
  (* (log N) 2/3)
  (* (log N) 2/3)
  (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 (cbrt N)) (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)))
  (* (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 N)
  (cbrt N)
  2/3
  2
  (* (cbrt N) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt N) (cbrt (sqrt N)))
  (cbrt N)
  (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N))
  (* (sqrt (cbrt N)) (cbrt N))
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt N))
  (* (cbrt N) (cbrt (sqrt N)))
  (* (cbrt N) (cbrt N))
  (* (cbrt (cbrt N)) (cbrt N))
  (* (sqrt (cbrt N)) (cbrt N))
  (* (cbrt N) (cbrt 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))
  (* (cbrt N) (cbrt N))
  (pow (/ 1 N) -2/3)
  (* (* (cbrt N) (cbrt N)) (* (cbrt -1) (cbrt -1)))
7.446 * * * [progress]: adding candidates to table
7.771 * * [progress]: iteration 4 / 4
7.771 * * * [progress]: picking best candidate
7.795 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))))) (cbrt N)))))>
7.795 * * * [progress]: localizing error
7.878 * * * [progress]: generating rewritten candidates
7.878 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
7.878 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2 1 2)
7.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 1 1)
7.880 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2 1 2)
7.881 * * * [progress]: generating series expansions
7.881 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
7.881 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
7.881 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
7.881 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
7.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
7.881 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
7.881 * [taylor]: Taking taylor expansion of 1/3 in N
7.881 * [backup-simplify]: Simplify 1/3 into 1/3
7.881 * [taylor]: Taking taylor expansion of (log N) in N
7.881 * [taylor]: Taking taylor expansion of N in N
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (log 1) into 0
7.882 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.882 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
7.882 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
7.882 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
7.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
7.882 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
7.882 * [taylor]: Taking taylor expansion of 1/3 in N
7.882 * [backup-simplify]: Simplify 1/3 into 1/3
7.882 * [taylor]: Taking taylor expansion of (log N) in N
7.882 * [taylor]: Taking taylor expansion of N in N
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (log 1) into 0
7.883 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.883 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
7.883 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
7.883 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
7.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.884 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
7.885 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.885 * [backup-simplify]: Simplify 0 into 0
7.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.888 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
7.890 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.890 * [backup-simplify]: Simplify 0 into 0
7.897 * [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
7.897 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
7.901 * [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
7.901 * [backup-simplify]: Simplify 0 into 0
7.908 * [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
7.909 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
7.915 * [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
7.916 * [backup-simplify]: Simplify 0 into 0
7.925 * [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
7.925 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.927 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
7.928 * [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
7.929 * [backup-simplify]: Simplify 0 into 0
7.947 * [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
7.948 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
7.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
7.952 * [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
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
7.953 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
7.953 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
7.953 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
7.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
7.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
7.953 * [taylor]: Taking taylor expansion of 1/3 in N
7.953 * [backup-simplify]: Simplify 1/3 into 1/3
7.953 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
7.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.953 * [taylor]: Taking taylor expansion of N in N
7.953 * [backup-simplify]: Simplify 0 into 0
7.953 * [backup-simplify]: Simplify 1 into 1
7.953 * [backup-simplify]: Simplify (/ 1 1) into 1
7.953 * [backup-simplify]: Simplify (log 1) into 0
7.954 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.954 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
7.954 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
7.954 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
7.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
7.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
7.954 * [taylor]: Taking taylor expansion of 1/3 in N
7.954 * [backup-simplify]: Simplify 1/3 into 1/3
7.954 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
7.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.954 * [taylor]: Taking taylor expansion of N in N
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 1 into 1
7.954 * [backup-simplify]: Simplify (/ 1 1) into 1
7.954 * [backup-simplify]: Simplify (log 1) into 0
7.955 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.955 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
7.955 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
7.955 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.957 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
7.957 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
7.957 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.960 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.960 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
7.961 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.961 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.964 * [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
7.965 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.965 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
7.966 * [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
7.966 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.975 * [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
7.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
7.980 * [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
7.980 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.990 * [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
7.991 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
7.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
7.995 * [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
7.995 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.018 * [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
8.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.023 * [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
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.023 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.023 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
8.023 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.023 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.024 * [taylor]: Taking taylor expansion of 1/3 in N
8.024 * [backup-simplify]: Simplify 1/3 into 1/3
8.024 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.024 * [taylor]: Taking taylor expansion of N in N
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.024 * [backup-simplify]: Simplify (/ 1 1) into 1
8.024 * [backup-simplify]: Simplify (log 1) into 0
8.024 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.025 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.025 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.025 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.025 * [taylor]: Taking taylor expansion of -1 in N
8.025 * [backup-simplify]: Simplify -1 into -1
8.025 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.025 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.025 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.026 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.026 * [taylor]: Taking taylor expansion of 1/3 in N
8.026 * [backup-simplify]: Simplify 1/3 into 1/3
8.026 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.026 * [taylor]: Taking taylor expansion of N in N
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.026 * [backup-simplify]: Simplify (/ 1 1) into 1
8.026 * [backup-simplify]: Simplify (log 1) into 0
8.026 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.026 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.027 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.027 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.027 * [taylor]: Taking taylor expansion of -1 in N
8.027 * [backup-simplify]: Simplify -1 into -1
8.027 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.027 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.028 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.028 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.030 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.031 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.031 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
8.031 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.036 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.037 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.038 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.038 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.042 * [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
8.043 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.045 * [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
8.045 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.045 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.053 * [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
8.053 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.054 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.055 * [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
8.056 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
8.056 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.073 * [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
8.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.076 * [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
8.077 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
8.077 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.096 * [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
8.096 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.106 * [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
8.107 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
8.108 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2 1 2)
8.108 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
8.108 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
8.108 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.108 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.108 * [taylor]: Taking taylor expansion of 1/3 in N
8.108 * [backup-simplify]: Simplify 1/3 into 1/3
8.108 * [taylor]: Taking taylor expansion of (log N) in N
8.108 * [taylor]: Taking taylor expansion of N in N
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 1 into 1
8.108 * [backup-simplify]: Simplify (log 1) into 0
8.109 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.109 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.109 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.109 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.109 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.109 * [taylor]: Taking taylor expansion of 1/3 in N
8.109 * [backup-simplify]: Simplify 1/3 into 1/3
8.109 * [taylor]: Taking taylor expansion of (log N) in N
8.109 * [taylor]: Taking taylor expansion of N in N
8.109 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify 1 into 1
8.109 * [backup-simplify]: Simplify (log 1) into 0
8.109 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.109 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.109 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.110 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.111 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.111 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.111 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.113 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.115 * [backup-simplify]: Simplify 0 into 0
8.117 * [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
8.118 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.121 * [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
8.121 * [backup-simplify]: Simplify 0 into 0
8.133 * [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
8.133 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.135 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.137 * [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
8.137 * [backup-simplify]: Simplify 0 into 0
8.154 * [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
8.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.156 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.158 * [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
8.158 * [backup-simplify]: Simplify 0 into 0
8.175 * [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
8.176 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.184 * [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
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.184 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.184 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.184 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.185 * [taylor]: Taking taylor expansion of 1/3 in N
8.185 * [backup-simplify]: Simplify 1/3 into 1/3
8.185 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.185 * [taylor]: Taking taylor expansion of N in N
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (/ 1 1) into 1
8.185 * [backup-simplify]: Simplify (log 1) into 0
8.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.186 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.186 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.186 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.187 * [taylor]: Taking taylor expansion of 1/3 in N
8.187 * [backup-simplify]: Simplify 1/3 into 1/3
8.187 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.187 * [taylor]: Taking taylor expansion of N in N
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 1 into 1
8.187 * [backup-simplify]: Simplify (/ 1 1) into 1
8.187 * [backup-simplify]: Simplify (log 1) into 0
8.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.188 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.188 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.188 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.192 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.192 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.200 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.206 * [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
8.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.208 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.210 * [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
8.210 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.227 * [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
8.228 * [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 (- (log N))))))) into 0
8.230 * [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
8.230 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.241 * [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
8.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.245 * [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
8.245 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.275 * [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
8.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.281 * [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
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.281 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.281 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
8.281 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.281 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.281 * [taylor]: Taking taylor expansion of 1/3 in N
8.281 * [backup-simplify]: Simplify 1/3 into 1/3
8.281 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.281 * [taylor]: Taking taylor expansion of N in N
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify 1 into 1
8.282 * [backup-simplify]: Simplify (/ 1 1) into 1
8.282 * [backup-simplify]: Simplify (log 1) into 0
8.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.282 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.282 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.282 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.282 * [taylor]: Taking taylor expansion of -1 in N
8.282 * [backup-simplify]: Simplify -1 into -1
8.283 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.283 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.283 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.283 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.283 * [taylor]: Taking taylor expansion of 1/3 in N
8.283 * [backup-simplify]: Simplify 1/3 into 1/3
8.283 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.283 * [taylor]: Taking taylor expansion of N in N
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify 1 into 1
8.284 * [backup-simplify]: Simplify (/ 1 1) into 1
8.284 * [backup-simplify]: Simplify (log 1) into 0
8.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.284 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.284 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.284 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.284 * [taylor]: Taking taylor expansion of -1 in N
8.284 * [backup-simplify]: Simplify -1 into -1
8.285 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.285 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.285 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.286 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.288 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.289 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.293 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.294 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.295 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.295 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.299 * [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
8.299 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.301 * [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
8.302 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.302 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.309 * [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
8.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.312 * [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
8.312 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
8.313 * [backup-simplify]: Simplify 0 into 0
8.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.334 * [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
8.335 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.342 * [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
8.343 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
8.344 * [backup-simplify]: Simplify 0 into 0
8.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.370 * [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
8.371 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.375 * [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
8.376 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
8.376 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
8.377 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2 1 1)
8.377 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
8.377 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
8.377 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.377 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.377 * [taylor]: Taking taylor expansion of 1/3 in N
8.377 * [backup-simplify]: Simplify 1/3 into 1/3
8.377 * [taylor]: Taking taylor expansion of (log N) in N
8.377 * [taylor]: Taking taylor expansion of N in N
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 1 into 1
8.377 * [backup-simplify]: Simplify (log 1) into 0
8.378 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.378 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.378 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.378 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.378 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.378 * [taylor]: Taking taylor expansion of 1/3 in N
8.378 * [backup-simplify]: Simplify 1/3 into 1/3
8.378 * [taylor]: Taking taylor expansion of (log N) in N
8.378 * [taylor]: Taking taylor expansion of N in N
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 1 into 1
8.378 * [backup-simplify]: Simplify (log 1) into 0
8.378 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.378 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.378 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.379 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.380 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.381 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.381 * [backup-simplify]: Simplify 0 into 0
8.383 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.383 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.384 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.384 * [backup-simplify]: Simplify 0 into 0
8.387 * [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
8.387 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.389 * [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
8.389 * [backup-simplify]: Simplify 0 into 0
8.395 * [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
8.395 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.398 * [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
8.398 * [backup-simplify]: Simplify 0 into 0
8.411 * [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
8.411 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.414 * [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
8.415 * [backup-simplify]: Simplify 0 into 0
8.435 * [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
8.436 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.442 * [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
8.442 * [backup-simplify]: Simplify 0 into 0
8.443 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.443 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.443 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.443 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.443 * [taylor]: Taking taylor expansion of 1/3 in N
8.443 * [backup-simplify]: Simplify 1/3 into 1/3
8.443 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.443 * [taylor]: Taking taylor expansion of N in N
8.443 * [backup-simplify]: Simplify 0 into 0
8.443 * [backup-simplify]: Simplify 1 into 1
8.443 * [backup-simplify]: Simplify (/ 1 1) into 1
8.443 * [backup-simplify]: Simplify (log 1) into 0
8.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.444 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.444 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.444 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.444 * [taylor]: Taking taylor expansion of 1/3 in N
8.444 * [backup-simplify]: Simplify 1/3 into 1/3
8.444 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.444 * [taylor]: Taking taylor expansion of N in N
8.444 * [backup-simplify]: Simplify 0 into 0
8.444 * [backup-simplify]: Simplify 1 into 1
8.444 * [backup-simplify]: Simplify (/ 1 1) into 1
8.444 * [backup-simplify]: Simplify (log 1) into 0
8.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.445 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.445 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.445 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.446 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.447 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.447 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.447 * [backup-simplify]: Simplify 0 into 0
8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.450 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.451 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.451 * [backup-simplify]: Simplify 0 into 0
8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.454 * [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
8.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.456 * [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
8.456 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.463 * [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
8.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.464 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.465 * [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
8.465 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.481 * [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
8.482 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.487 * [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
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.505 * [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
8.505 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.510 * [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
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.510 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.510 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
8.510 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.510 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.510 * [taylor]: Taking taylor expansion of 1/3 in N
8.510 * [backup-simplify]: Simplify 1/3 into 1/3
8.510 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.510 * [taylor]: Taking taylor expansion of N in N
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify 1 into 1
8.511 * [backup-simplify]: Simplify (/ 1 1) into 1
8.511 * [backup-simplify]: Simplify (log 1) into 0
8.511 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.511 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.511 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.511 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.511 * [taylor]: Taking taylor expansion of -1 in N
8.511 * [backup-simplify]: Simplify -1 into -1
8.512 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.512 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.512 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.512 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.512 * [taylor]: Taking taylor expansion of 1/3 in N
8.512 * [backup-simplify]: Simplify 1/3 into 1/3
8.512 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.512 * [taylor]: Taking taylor expansion of N in N
8.512 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify 1 into 1
8.513 * [backup-simplify]: Simplify (/ 1 1) into 1
8.513 * [backup-simplify]: Simplify (log 1) into 0
8.513 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.513 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.513 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.513 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.513 * [taylor]: Taking taylor expansion of -1 in N
8.513 * [backup-simplify]: Simplify -1 into -1
8.514 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.514 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.515 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.515 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.517 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.518 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
8.518 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.521 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.523 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.524 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.524 * [backup-simplify]: Simplify 0 into 0
8.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.533 * [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
8.534 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.536 * [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
8.537 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.537 * [backup-simplify]: Simplify 0 into 0
8.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.547 * [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
8.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.551 * [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
8.552 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
8.552 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.562 * [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
8.563 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.566 * [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
8.567 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
8.567 * [backup-simplify]: Simplify 0 into 0
8.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.594 * [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
8.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.600 * [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
8.601 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
8.601 * [backup-simplify]: Simplify 0 into 0
8.602 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
8.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 2 1 2)
8.602 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
8.602 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
8.602 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.602 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.602 * [taylor]: Taking taylor expansion of 1/3 in N
8.602 * [backup-simplify]: Simplify 1/3 into 1/3
8.602 * [taylor]: Taking taylor expansion of (log N) in N
8.602 * [taylor]: Taking taylor expansion of N in N
8.602 * [backup-simplify]: Simplify 0 into 0
8.602 * [backup-simplify]: Simplify 1 into 1
8.602 * [backup-simplify]: Simplify (log 1) into 0
8.602 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.603 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.603 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.603 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
8.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
8.603 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
8.603 * [taylor]: Taking taylor expansion of 1/3 in N
8.603 * [backup-simplify]: Simplify 1/3 into 1/3
8.603 * [taylor]: Taking taylor expansion of (log N) in N
8.603 * [taylor]: Taking taylor expansion of N in N
8.603 * [backup-simplify]: Simplify 0 into 0
8.603 * [backup-simplify]: Simplify 1 into 1
8.603 * [backup-simplify]: Simplify (log 1) into 0
8.603 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.603 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
8.603 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
8.603 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.604 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
8.605 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.607 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
8.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.611 * [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
8.612 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
8.613 * [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
8.613 * [backup-simplify]: Simplify 0 into 0
8.619 * [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
8.619 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
8.622 * [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
8.623 * [backup-simplify]: Simplify 0 into 0
8.646 * [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
8.646 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
8.650 * [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
8.650 * [backup-simplify]: Simplify 0 into 0
8.667 * [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
8.668 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
8.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
8.673 * [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
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
8.673 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
8.673 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
8.673 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.673 * [taylor]: Taking taylor expansion of 1/3 in N
8.673 * [backup-simplify]: Simplify 1/3 into 1/3
8.673 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.673 * [taylor]: Taking taylor expansion of N in N
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (/ 1 1) into 1
8.673 * [backup-simplify]: Simplify (log 1) into 0
8.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.674 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.674 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.674 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.674 * [taylor]: Taking taylor expansion of 1/3 in N
8.674 * [backup-simplify]: Simplify 1/3 into 1/3
8.674 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.674 * [taylor]: Taking taylor expansion of N in N
8.674 * [backup-simplify]: Simplify 0 into 0
8.674 * [backup-simplify]: Simplify 1 into 1
8.674 * [backup-simplify]: Simplify (/ 1 1) into 1
8.675 * [backup-simplify]: Simplify (log 1) into 0
8.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.675 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.675 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.675 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
8.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.678 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.678 * [backup-simplify]: Simplify 0 into 0
8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.681 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.681 * [backup-simplify]: Simplify 0 into 0
8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.685 * [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
8.685 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.687 * [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
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.693 * [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
8.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.696 * [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
8.696 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.713 * [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
8.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.720 * [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
8.720 * [backup-simplify]: Simplify 0 into 0
8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.765 * [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
8.766 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.768 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.775 * [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
8.776 * [backup-simplify]: Simplify 0 into 0
8.776 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
8.776 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.776 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
8.776 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.776 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.776 * [taylor]: Taking taylor expansion of 1/3 in N
8.776 * [backup-simplify]: Simplify 1/3 into 1/3
8.776 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.776 * [taylor]: Taking taylor expansion of N in N
8.776 * [backup-simplify]: Simplify 0 into 0
8.776 * [backup-simplify]: Simplify 1 into 1
8.777 * [backup-simplify]: Simplify (/ 1 1) into 1
8.777 * [backup-simplify]: Simplify (log 1) into 0
8.778 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.778 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.778 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.778 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.778 * [taylor]: Taking taylor expansion of -1 in N
8.778 * [backup-simplify]: Simplify -1 into -1
8.778 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.779 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.779 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
8.779 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
8.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
8.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
8.779 * [taylor]: Taking taylor expansion of 1/3 in N
8.779 * [backup-simplify]: Simplify 1/3 into 1/3
8.779 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
8.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N
8.779 * [taylor]: Taking taylor expansion of N in N
8.780 * [backup-simplify]: Simplify 0 into 0
8.780 * [backup-simplify]: Simplify 1 into 1
8.780 * [backup-simplify]: Simplify (/ 1 1) into 1
8.780 * [backup-simplify]: Simplify (log 1) into 0
8.781 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.781 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
8.781 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
8.781 * [taylor]: Taking taylor expansion of (cbrt -1) in N
8.781 * [taylor]: Taking taylor expansion of -1 in N
8.781 * [backup-simplify]: Simplify -1 into -1
8.782 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.783 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.783 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.784 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
8.788 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
8.789 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
8.789 * [backup-simplify]: Simplify 0 into 0
8.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
8.797 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.798 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.798 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.805 * [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
8.806 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.808 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
8.809 * [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
8.811 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.811 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.825 * [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
8.825 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
8.830 * [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
8.831 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
8.831 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.843 * [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
8.843 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
8.846 * [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
8.847 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
8.847 * [backup-simplify]: Simplify 0 into 0
8.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.865 * [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
8.866 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
8.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
8.875 * [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
8.877 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
8.878 * * * [progress]: simplifying candidates
8.879 * [simplify]: Simplifying:
  (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))
  (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 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))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
8.880 * * [simplify]: iteration 0: 24 enodes
8.895 * * [simplify]: iteration 1: 44 enodes
8.905 * * [simplify]: iteration 2: 94 enodes
8.925 * * [simplify]: iteration 3: 175 enodes
8.970 * * [simplify]: iteration 4: 390 enodes
9.150 * * [simplify]: iteration 5: 1126 enodes
10.552 * * [simplify]: iteration 6: 4494 enodes
11.661 * * [simplify]: iteration complete: 5000 enodes
11.661 * * [simplify]: Extracting #0: cost 12 inf + 0
11.662 * * [simplify]: Extracting #1: cost 187 inf + 2
11.664 * * [simplify]: Extracting #2: cost 523 inf + 840
11.668 * * [simplify]: Extracting #3: cost 625 inf + 22136
11.681 * * [simplify]: Extracting #4: cost 333 inf + 174797
11.718 * * [simplify]: Extracting #5: cost 53 inf + 373744
11.754 * * [simplify]: Extracting #6: cost 0 inf + 410730
11.804 * * [simplify]: Extracting #7: cost 0 inf + 409061
11.839 * * [simplify]: Extracting #8: cost 0 inf + 408931
11.882 * [simplify]: Simplified to:
  (* (log N) 1/3)
  (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))
  (* (log N) 1/3)
  (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))
  (* (log N) 1/3)
  (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))
  (* (log N) 1/3)
  (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)
  (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))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
11.887 * * * [progress]: adding candidates to table
12.171 * [progress]: [Phase 3 of 3] Extracting.
12.171 * * [regime]: Finding splitpoints for: (#<alt (λ (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))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt 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) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))))) (cbrt N)))))> #<alt (λ (N) (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))))))>)
12.172 * * * [regime-changes]: Trying 1 branch expressions: (N)
12.172 * * * * [regimes]: Trying to branch on N from (#<alt (λ (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))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt 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) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))))) (cbrt N)))))> #<alt (λ (N) (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))))))>)
12.206 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
12.207 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
12.207 * * [simplify]: iteration 0: 7 enodes
12.207 * * [simplify]: iteration 1: 12 enodes
12.207 * * [simplify]: iteration complete: 12 enodes
12.207 * * [simplify]: Extracting #0: cost 1 inf + 0
12.207 * * [simplify]: Extracting #1: cost 3 inf + 0
12.207 * * [simplify]: Extracting #2: cost 4 inf + 1
12.207 * * [simplify]: Extracting #3: cost 5 inf + 2
12.208 * * [simplify]: Extracting #4: cost 0 inf + 513
12.208 * [simplify]: Simplified to:
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
14.224 * [regime-testing]: Baseline error score: 0.36773702372734507
14.233 * [regime-testing]: Oracle error score: 0.3347328982116556
14.250 * [regime-testing]: End program error score: 0.36773702372734507
14.319 * [regime-testing]: Target error score: 0.3694353563315106