41.451 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.033 * * * [progress]: [2/2] Setting up program.
0.036 * [progress]: [Phase 2 of 3] Improving.
0.037 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.037 * * [simplify]: iteration 0: 6 enodes
0.037 * * [simplify]: iteration 1: 9 enodes
0.038 * * [simplify]: iteration 2: 10 enodes
0.039 * * [simplify]: iteration complete: 10 enodes
0.039 * * [simplify]: Extracting #0: cost 1 inf + 0
0.039 * * [simplify]: Extracting #1: cost 4 inf + 0
0.039 * * [simplify]: Extracting #2: cost 6 inf + 0
0.039 * * [simplify]: Extracting #3: cost 6 inf + 1
0.039 * * [simplify]: Extracting #4: cost 0 inf + 735
0.040 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.040 * * [progress]: iteration 1 / 4
0.040 * * * [progress]: picking best candidate
0.052 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.052 * * * [progress]: localizing error
0.061 * * * [progress]: generating rewritten candidates
0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.066 * * * [progress]: generating series expansions
0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.066 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.066 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.067 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.067 * [taylor]: Taking taylor expansion of (atan N) in N
0.067 * [backup-simplify]: Simplify (atan N) into (atan N)
0.067 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.067 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.067 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.067 * [taylor]: Taking taylor expansion of (atan N) in N
0.068 * [backup-simplify]: Simplify (atan N) into (atan N)
0.068 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.068 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.068 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (- 0) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.071 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.071 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.072 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.072 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.072 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.072 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.072 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.072 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.072 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.072 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.072 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.072 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.076 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.076 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.076 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.076 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.076 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.076 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.076 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.076 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.076 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.076 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.076 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.076 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.076 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.076 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.076 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.080 * * * [progress]: simplifying candidates
0.080 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.080 * * [simplify]: iteration 0: 36 enodes
0.086 * * [simplify]: iteration 1: 73 enodes
0.097 * * [simplify]: iteration 2: 149 enodes
0.126 * * [simplify]: iteration 3: 326 enodes
0.208 * * [simplify]: iteration 4: 966 enodes
0.742 * * [simplify]: iteration 5: 3570 enodes
1.826 * * [simplify]: iteration complete: 5001 enodes
1.826 * * [simplify]: Extracting #0: cost 16 inf + 0
1.826 * * [simplify]: Extracting #1: cost 156 inf + 1
1.828 * * [simplify]: Extracting #2: cost 866 inf + 3
1.833 * * [simplify]: Extracting #3: cost 1128 inf + 11343
1.862 * * [simplify]: Extracting #4: cost 989 inf + 113508
1.946 * * [simplify]: Extracting #5: cost 319 inf + 514271
2.082 * * [simplify]: Extracting #6: cost 44 inf + 634893
2.206 * * [simplify]: Extracting #7: cost 0 inf + 656298
2.331 * [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))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
2.333 * * * [progress]: adding candidates to table
2.406 * * [progress]: iteration 2 / 4
2.406 * * * [progress]: picking best candidate
2.410 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
2.410 * * * [progress]: localizing error
2.420 * * * [progress]: generating rewritten candidates
2.420 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.420 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
2.447 * * * [progress]: generating series expansions
2.447 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.448 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.448 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
2.448 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.448 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.448 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.448 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.450 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.451 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.451 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
2.451 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.451 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.451 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.452 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.452 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.453 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.453 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.453 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.454 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.454 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.454 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.454 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.455 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
2.455 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
2.455 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
2.455 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.455 * [taylor]: Taking taylor expansion of N in N
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.455 * [taylor]: Taking taylor expansion of N in N
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [taylor]: Taking taylor expansion of 1.0 in N
2.455 * [backup-simplify]: Simplify 1.0 into 1.0
2.456 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.456 * [taylor]: Taking taylor expansion of N in N
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.456 * [taylor]: Taking taylor expansion of N in N
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [taylor]: Taking taylor expansion of 1.0 in N
2.456 * [backup-simplify]: Simplify 1.0 into 1.0
2.457 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.457 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.457 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify (+ 1 0) into 1
2.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.459 * [backup-simplify]: Simplify 1.0 into 1.0
2.460 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.461 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
2.467 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
2.475 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
2.475 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
2.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.475 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.475 * [taylor]: Taking taylor expansion of N in N
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (/ 1 1) into 1
2.476 * [taylor]: Taking taylor expansion of 1.0 in N
2.476 * [backup-simplify]: Simplify 1.0 into 1.0
2.476 * [taylor]: Taking taylor expansion of N in N
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (+ 1 0) into 1
2.477 * [backup-simplify]: Simplify (/ 1 1) into 1
2.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.477 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (/ 1 1) into 1
2.477 * [taylor]: Taking taylor expansion of 1.0 in N
2.477 * [backup-simplify]: Simplify 1.0 into 1.0
2.477 * [taylor]: Taking taylor expansion of N in N
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (+ 1 0) into 1
2.478 * [backup-simplify]: Simplify (/ 1 1) into 1
2.478 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.481 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.482 * [backup-simplify]: Simplify 1.0 into 1.0
2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (+ 0 0) into 0
2.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.485 * [backup-simplify]: Simplify (+ 0 0) into 0
2.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ 0 0) into 0
2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
2.495 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
2.495 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
2.495 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.495 * [taylor]: Taking taylor expansion of -1 in N
2.495 * [backup-simplify]: Simplify -1 into -1
2.495 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.495 * [taylor]: Taking taylor expansion of 1.0 in N
2.495 * [backup-simplify]: Simplify 1.0 into 1.0
2.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.495 * [taylor]: Taking taylor expansion of N in N
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (/ 1 1) into 1
2.495 * [taylor]: Taking taylor expansion of N in N
2.495 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.496 * [backup-simplify]: Simplify (- 1) into -1
2.496 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.496 * [backup-simplify]: Simplify (/ -1 1) into -1
2.496 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.496 * [taylor]: Taking taylor expansion of -1 in N
2.496 * [backup-simplify]: Simplify -1 into -1
2.496 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.496 * [taylor]: Taking taylor expansion of 1.0 in N
2.496 * [backup-simplify]: Simplify 1.0 into 1.0
2.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.496 * [taylor]: Taking taylor expansion of N in N
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.497 * [backup-simplify]: Simplify (/ 1 1) into 1
2.497 * [taylor]: Taking taylor expansion of N in N
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [backup-simplify]: Simplify (- 1) into -1
2.497 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.498 * [backup-simplify]: Simplify (/ -1 1) into -1
2.498 * [backup-simplify]: Simplify (* -1 -1) into 1
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (- 0) into 0
2.499 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.500 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.501 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
2.501 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify (- 0) into 0
2.502 * [backup-simplify]: Simplify (+ 0 0) into 0
2.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.504 * [backup-simplify]: Simplify (- 0) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (- 0) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.510 * [backup-simplify]: Simplify (- 0) into 0
2.510 * [backup-simplify]: Simplify (+ 0 0) into 0
2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
2.512 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.513 * [backup-simplify]: Simplify (- 0) into 0
2.513 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (- 0) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
2.519 * * * [progress]: simplifying candidates
2.520 * [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))
2.521 * * [simplify]: iteration 0: 55 enodes
2.540 * * [simplify]: iteration 1: 127 enodes
2.587 * * [simplify]: iteration 2: 695 enodes
2.828 * * [simplify]: iteration complete: 5002 enodes
2.828 * * [simplify]: Extracting #0: cost 23 inf + 0
2.829 * * [simplify]: Extracting #1: cost 672 inf + 0
2.833 * * [simplify]: Extracting #2: cost 1913 inf + 970
2.847 * * [simplify]: Extracting #3: cost 1904 inf + 87238
2.899 * * [simplify]: Extracting #4: cost 253 inf + 303902
2.972 * * [simplify]: Extracting #5: cost 13 inf + 337161
3.032 * * [simplify]: Extracting #6: cost 9 inf + 338761
3.092 * * [simplify]: Extracting #7: cost 3 inf + 339435
3.160 * * [simplify]: Extracting #8: cost 0 inf + 340194
3.218 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))
  (exp (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ 1.0 N) N))) (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))
  (* (+ 1.0 N) N)
  (log (* (+ 1.0 N) N))
  (log (* (+ 1.0 N) N))
  (exp (* (+ 1.0 N) N))
  (* (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)) (* (+ 1.0 N) N))
  (* (cbrt (* (+ 1.0 N) N)) (cbrt (* (+ 1.0 N) N)))
  (cbrt (* (+ 1.0 N) N))
  (* (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)) (* (+ 1.0 N) N))
  (sqrt (* (+ 1.0 N) N))
  (sqrt (* (+ 1.0 N) N))
  (* (sqrt N) (sqrt (+ 1.0 N)))
  (* (sqrt N) (sqrt (+ 1.0 N)))
  (* (+ 1.0 N) (* (cbrt N) (cbrt N)))
  (* (+ 1.0 N) (sqrt N))
  (+ 1.0 N)
  (* (cbrt (+ 1.0 N)) N)
  (* (sqrt (+ 1.0 N)) N)
  (* (+ 1.0 N) N)
  (* (+ 1.0 N) N)
  (* (+ (* 1.0 (* 1.0 1.0)) (* N (* N N))) N)
  (* (* (+ 1.0 N) (- N 1.0)) N)
  (atan2 1.0 (+ 1 (* N (+ N 1.0))))
  (atan2 1.0 (+ 1 (* N (+ N 1.0))))
  (atan2 1.0 (+ 1 (* N (+ N 1.0))))
  (* N (+ N 1.0))
  (* N (+ N 1.0))
  (* N (+ N 1.0))
3.220 * * * [progress]: adding candidates to table
3.332 * * [progress]: iteration 3 / 4
3.332 * * * [progress]: picking best candidate
3.359 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))>
3.359 * * * [progress]: localizing error
3.383 * * * [progress]: generating rewritten candidates
3.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
3.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2)
3.386 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1)
3.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2)
3.407 * * * [progress]: generating series expansions
3.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
3.407 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
3.407 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
3.407 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.407 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.407 * [taylor]: Taking taylor expansion of 1/3 in N
3.408 * [backup-simplify]: Simplify 1/3 into 1/3
3.408 * [taylor]: Taking taylor expansion of (log N) in N
3.408 * [taylor]: Taking taylor expansion of N in N
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.408 * [backup-simplify]: Simplify (log 1) into 0
3.408 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.409 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.409 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.409 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.409 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.409 * [taylor]: Taking taylor expansion of 1/3 in N
3.409 * [backup-simplify]: Simplify 1/3 into 1/3
3.409 * [taylor]: Taking taylor expansion of (log N) in N
3.409 * [taylor]: Taking taylor expansion of N in N
3.409 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify 1 into 1
3.409 * [backup-simplify]: Simplify (log 1) into 0
3.409 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.409 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.409 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.410 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.411 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
3.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.418 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
3.419 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.419 * [backup-simplify]: Simplify 0 into 0
3.422 * [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
3.423 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
3.425 * [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
3.425 * [backup-simplify]: Simplify 0 into 0
3.435 * [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
3.435 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
3.439 * [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
3.440 * [backup-simplify]: Simplify 0 into 0
3.454 * [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
3.455 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
3.458 * [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
3.458 * [backup-simplify]: Simplify 0 into 0
3.480 * [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
3.480 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
3.489 * [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
3.489 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.490 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
3.490 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
3.490 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.490 * [taylor]: Taking taylor expansion of 1/3 in N
3.490 * [backup-simplify]: Simplify 1/3 into 1/3
3.490 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.490 * [taylor]: Taking taylor expansion of N in N
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify 1 into 1
3.490 * [backup-simplify]: Simplify (/ 1 1) into 1
3.491 * [backup-simplify]: Simplify (log 1) into 0
3.491 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.491 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.491 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.491 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.492 * [taylor]: Taking taylor expansion of 1/3 in N
3.492 * [backup-simplify]: Simplify 1/3 into 1/3
3.492 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.492 * [taylor]: Taking taylor expansion of N in N
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (/ 1 1) into 1
3.492 * [backup-simplify]: Simplify (log 1) into 0
3.493 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.493 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.493 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.493 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.496 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.497 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.497 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.504 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.508 * [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
3.509 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.510 * [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
3.510 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.516 * [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
3.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.519 * [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
3.519 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.532 * [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
3.532 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.536 * [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
3.536 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.565 * [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
3.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.568 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.571 * [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
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
3.572 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.572 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
3.572 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.572 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.572 * [taylor]: Taking taylor expansion of 1/3 in N
3.572 * [backup-simplify]: Simplify 1/3 into 1/3
3.572 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.572 * [taylor]: Taking taylor expansion of N in N
3.572 * [backup-simplify]: Simplify 0 into 0
3.572 * [backup-simplify]: Simplify 1 into 1
3.572 * [backup-simplify]: Simplify (/ 1 1) into 1
3.573 * [backup-simplify]: Simplify (log 1) into 0
3.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.573 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.573 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.573 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.573 * [taylor]: Taking taylor expansion of -1 in N
3.573 * [backup-simplify]: Simplify -1 into -1
3.574 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.575 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.575 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.575 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.575 * [taylor]: Taking taylor expansion of 1/3 in N
3.575 * [backup-simplify]: Simplify 1/3 into 1/3
3.575 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.575 * [taylor]: Taking taylor expansion of N in N
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify 1 into 1
3.575 * [backup-simplify]: Simplify (/ 1 1) into 1
3.575 * [backup-simplify]: Simplify (log 1) into 0
3.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.576 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.576 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.576 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.576 * [taylor]: Taking taylor expansion of -1 in N
3.576 * [backup-simplify]: Simplify -1 into -1
3.578 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.579 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.579 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.580 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.582 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.583 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.583 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
3.583 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.589 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.589 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.594 * [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
3.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.596 * [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
3.597 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.597 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.604 * [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
3.605 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.608 * [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
3.608 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
3.608 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.619 * [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
3.620 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.623 * [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
3.625 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
3.625 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.657 * [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
3.658 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.663 * [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
3.664 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
3.665 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2)
3.665 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
3.665 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
3.665 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.665 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.665 * [taylor]: Taking taylor expansion of 1/3 in N
3.665 * [backup-simplify]: Simplify 1/3 into 1/3
3.665 * [taylor]: Taking taylor expansion of (log N) in N
3.665 * [taylor]: Taking taylor expansion of N in N
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (log 1) into 0
3.666 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.666 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.666 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.666 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.666 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.666 * [taylor]: Taking taylor expansion of 1/3 in N
3.666 * [backup-simplify]: Simplify 1/3 into 1/3
3.666 * [taylor]: Taking taylor expansion of (log N) in N
3.666 * [taylor]: Taking taylor expansion of N in N
3.666 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (log 1) into 0
3.667 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.667 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
3.667 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.667 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.668 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
3.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.669 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.671 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.672 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
3.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.673 * [backup-simplify]: Simplify 0 into 0
3.676 * [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
3.676 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
3.678 * [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
3.678 * [backup-simplify]: Simplify 0 into 0
3.684 * [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
3.684 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
3.687 * [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
3.687 * [backup-simplify]: Simplify 0 into 0
3.696 * [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
3.696 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.698 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
3.700 * [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
3.700 * [backup-simplify]: Simplify 0 into 0
3.717 * [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
3.717 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
3.722 * [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
3.722 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.722 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
3.722 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
3.722 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.722 * [taylor]: Taking taylor expansion of 1/3 in N
3.722 * [backup-simplify]: Simplify 1/3 into 1/3
3.722 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.722 * [taylor]: Taking taylor expansion of N in N
3.722 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify 1 into 1
3.723 * [backup-simplify]: Simplify (/ 1 1) into 1
3.723 * [backup-simplify]: Simplify (log 1) into 0
3.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.723 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.723 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.723 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.723 * [taylor]: Taking taylor expansion of 1/3 in N
3.723 * [backup-simplify]: Simplify 1/3 into 1/3
3.723 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.723 * [taylor]: Taking taylor expansion of N in N
3.723 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify 1 into 1
3.724 * [backup-simplify]: Simplify (/ 1 1) into 1
3.724 * [backup-simplify]: Simplify (log 1) into 0
3.725 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.725 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.725 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.725 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.727 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.728 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.738 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.739 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.739 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.742 * [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
3.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.744 * [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
3.744 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.751 * [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
3.751 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.752 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
3.754 * [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
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.763 * [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
3.764 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.768 * [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
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.786 * [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
3.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
3.795 * [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
3.795 * [backup-simplify]: Simplify 0 into 0
3.795 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
3.796 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.796 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
3.796 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.796 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.796 * [taylor]: Taking taylor expansion of 1/3 in N
3.796 * [backup-simplify]: Simplify 1/3 into 1/3
3.796 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.796 * [taylor]: Taking taylor expansion of N in N
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [backup-simplify]: Simplify (/ 1 1) into 1
3.796 * [backup-simplify]: Simplify (log 1) into 0
3.797 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.797 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.797 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.797 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.797 * [taylor]: Taking taylor expansion of -1 in N
3.797 * [backup-simplify]: Simplify -1 into -1
3.797 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.798 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.798 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
3.798 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.798 * [taylor]: Taking taylor expansion of 1/3 in N
3.798 * [backup-simplify]: Simplify 1/3 into 1/3
3.798 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.798 * [taylor]: Taking taylor expansion of N in N
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (/ 1 1) into 1
3.798 * [backup-simplify]: Simplify (log 1) into 0
3.799 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.799 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.799 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.799 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.799 * [taylor]: Taking taylor expansion of -1 in N
3.799 * [backup-simplify]: Simplify -1 into -1
3.799 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.800 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.800 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.801 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.804 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.805 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.809 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.810 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.811 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.811 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.816 * [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
3.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.818 * [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
3.819 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.829 * [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
3.830 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.839 * [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
3.844 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
3.844 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.865 * [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
3.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
3.869 * [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
3.870 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
3.870 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.871 * [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
3.889 * [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
3.894 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
3.895 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1)
3.895 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
3.895 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
3.895 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
3.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.895 * [taylor]: Taking taylor expansion of (* 1/3 (log 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 N) in N
3.895 * [taylor]: Taking taylor expansion of N in N
3.895 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify 1 into 1
3.895 * [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 (pow N 1/3) in N
3.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
3.896 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
3.896 * [taylor]: Taking taylor expansion of 1/3 in N
3.896 * [backup-simplify]: Simplify 1/3 into 1/3
3.896 * [taylor]: Taking taylor expansion of (log N) in N
3.896 * [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 (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))
3.897 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
3.897 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.898 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.898 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
3.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.899 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.900 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
3.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.902 * [backup-simplify]: Simplify 0 into 0
3.904 * [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
3.905 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
3.906 * [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
3.907 * [backup-simplify]: Simplify 0 into 0
3.912 * [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
3.913 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
3.915 * [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
3.915 * [backup-simplify]: Simplify 0 into 0
3.924 * [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
3.925 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.926 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
3.928 * [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
3.928 * [backup-simplify]: Simplify 0 into 0
3.952 * [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
3.953 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
3.955 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
3.960 * [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
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
3.961 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
3.961 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
3.961 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.961 * [taylor]: Taking taylor expansion of 1/3 in N
3.961 * [backup-simplify]: Simplify 1/3 into 1/3
3.961 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.961 * [taylor]: Taking taylor expansion of N in N
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (/ 1 1) into 1
3.962 * [backup-simplify]: Simplify (log 1) into 0
3.962 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.962 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.963 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.963 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
3.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
3.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
3.963 * [taylor]: Taking taylor expansion of 1/3 in N
3.963 * [backup-simplify]: Simplify 1/3 into 1/3
3.963 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
3.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.963 * [taylor]: Taking taylor expansion of N in N
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (/ 1 1) into 1
3.964 * [backup-simplify]: Simplify (log 1) into 0
3.964 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.964 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
3.964 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
3.964 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
3.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.967 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
3.969 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
3.969 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
3.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.976 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.982 * [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
3.983 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
3.984 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
3.986 * [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
3.986 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.998 * [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
3.999 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.001 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.004 * [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
4.004 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.021 * [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
4.021 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.023 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.025 * [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
4.025 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.046 * [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
4.047 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.055 * [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
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
4.056 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.056 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
4.056 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.056 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.056 * [taylor]: Taking taylor expansion of 1/3 in N
4.056 * [backup-simplify]: Simplify 1/3 into 1/3
4.056 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.056 * [taylor]: Taking taylor expansion of N in N
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.057 * [backup-simplify]: Simplify (/ 1 1) into 1
4.057 * [backup-simplify]: Simplify (log 1) into 0
4.058 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.058 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.058 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.058 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.058 * [taylor]: Taking taylor expansion of -1 in N
4.058 * [backup-simplify]: Simplify -1 into -1
4.059 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.066 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.067 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
4.067 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
4.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
4.067 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
4.067 * [taylor]: Taking taylor expansion of 1/3 in N
4.067 * [backup-simplify]: Simplify 1/3 into 1/3
4.067 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
4.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.067 * [taylor]: Taking taylor expansion of N in N
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (/ 1 1) into 1
4.068 * [backup-simplify]: Simplify (log 1) into 0
4.069 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.069 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
4.069 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
4.069 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.069 * [taylor]: Taking taylor expansion of -1 in N
4.069 * [backup-simplify]: Simplify -1 into -1
4.070 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.071 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.072 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.072 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
4.073 * [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))
4.079 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
4.080 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.080 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
4.080 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.084 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.085 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
4.086 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.091 * [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
4.091 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
4.093 * [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
4.094 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.094 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.101 * [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
4.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
4.104 * [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
4.105 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.105 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.115 * [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
4.116 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
4.119 * [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
4.121 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.142 * [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
4.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
4.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
4.147 * [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 (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
4.149 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2)
4.149 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3)
4.149 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0
4.149 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
4.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
4.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) 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 (pow N 2)) in N
4.149 * [taylor]: Taking taylor expansion of (pow N 2) 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
4.150 * [backup-simplify]: Simplify (log 1) into 0
4.150 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.150 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
4.150 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
4.150 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
4.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
4.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
4.150 * [taylor]: Taking taylor expansion of 1/3 in N
4.150 * [backup-simplify]: Simplify 1/3 into 1/3
4.150 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
4.150 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.150 * [taylor]: Taking taylor expansion of N in N
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (* 1 1) into 1
4.151 * [backup-simplify]: Simplify (log 1) into 0
4.151 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.151 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
4.151 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
4.151 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
4.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.153 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.153 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
4.154 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.156 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
4.158 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.166 * [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
4.166 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
4.168 * [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
4.168 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.175 * [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
4.175 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.176 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0
4.177 * [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
4.177 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.197 * [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
4.197 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0
4.204 * [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
4.204 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.226 * [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
4.226 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0
4.231 * [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
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
4.231 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3)
4.231 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0
4.231 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.231 * [taylor]: Taking taylor expansion of 1/3 in N
4.231 * [backup-simplify]: Simplify 1/3 into 1/3
4.231 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.231 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.231 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.231 * [taylor]: Taking taylor expansion of N in N
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify 1 into 1
4.232 * [backup-simplify]: Simplify (* 1 1) into 1
4.232 * [backup-simplify]: Simplify (/ 1 1) into 1
4.232 * [backup-simplify]: Simplify (log 1) into 0
4.232 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.232 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.233 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.233 * [taylor]: Taking taylor expansion of 1/3 in N
4.233 * [backup-simplify]: Simplify 1/3 into 1/3
4.233 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.233 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.233 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.233 * [taylor]: Taking taylor expansion of N in N
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 1 into 1
4.233 * [backup-simplify]: Simplify (* 1 1) into 1
4.233 * [backup-simplify]: Simplify (/ 1 1) into 1
4.233 * [backup-simplify]: Simplify (log 1) into 0
4.234 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.234 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.234 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.234 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.236 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
4.237 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.240 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.241 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
4.243 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.243 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.250 * [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
4.251 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
4.253 * [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
4.253 * [backup-simplify]: Simplify 0 into 0
4.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.260 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
4.263 * [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
4.263 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.279 * [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
4.279 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.281 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
4.288 * [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
4.288 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.310 * [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
4.311 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
4.315 * [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
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3)
4.316 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.316 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0
4.316 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.316 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.316 * [taylor]: Taking taylor expansion of 1/3 in N
4.316 * [backup-simplify]: Simplify 1/3 into 1/3
4.316 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.316 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.316 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.316 * [taylor]: Taking taylor expansion of N in N
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.316 * [backup-simplify]: Simplify (* 1 1) into 1
4.316 * [backup-simplify]: Simplify (/ 1 1) into 1
4.317 * [backup-simplify]: Simplify (log 1) into 0
4.317 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.317 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.317 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.317 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.317 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.317 * [taylor]: Taking taylor expansion of -1 in N
4.317 * [backup-simplify]: Simplify -1 into -1
4.317 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.318 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.318 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.318 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
4.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
4.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
4.318 * [taylor]: Taking taylor expansion of 1/3 in N
4.318 * [backup-simplify]: Simplify 1/3 into 1/3
4.318 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
4.318 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
4.318 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.318 * [taylor]: Taking taylor expansion of N in N
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify (* 1 1) into 1
4.319 * [backup-simplify]: Simplify (/ 1 1) into 1
4.319 * [backup-simplify]: Simplify (log 1) into 0
4.319 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.319 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.319 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.319 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.319 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.319 * [taylor]: Taking taylor expansion of -1 in N
4.319 * [backup-simplify]: Simplify -1 into -1
4.320 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.320 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.321 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
4.322 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.323 * [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))
4.323 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
4.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.325 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
4.326 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
4.327 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.328 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.331 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
4.333 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.333 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0
4.333 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.335 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
4.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.339 * [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
4.340 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
4.341 * [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
4.342 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0
4.342 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.344 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
4.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.352 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
4.352 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
4.355 * [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
4.356 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0
4.356 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.358 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.377 * [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
4.378 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
4.384 * [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
4.386 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0
4.386 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.390 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
4.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.411 * [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
4.411 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
4.416 * [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 (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0
4.417 * [backup-simplify]: Simplify 0 into 0
4.418 * [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))
4.418 * * * [progress]: simplifying candidates
4.419 * [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))
4.419 * * [simplify]: iteration 0: 61 enodes
4.443 * * [simplify]: iteration 1: 138 enodes
4.505 * * [simplify]: iteration 2: 727 enodes
5.449 * * [simplify]: iteration complete: 5000 enodes
5.449 * * [simplify]: Extracting #0: cost 29 inf + 0
5.452 * * [simplify]: Extracting #1: cost 1281 inf + 4
5.459 * * [simplify]: Extracting #2: cost 1672 inf + 41253
5.477 * * [simplify]: Extracting #3: cost 1140 inf + 145764
5.515 * * [simplify]: Extracting #4: cost 365 inf + 379926
5.562 * * [simplify]: Extracting #5: cost 0 inf + 518348
5.619 * * [simplify]: Extracting #6: cost 0 inf + 518228
5.667 * [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
  (* 2/3 (log N))
  (* 2/3 (log N))
  (exp (* (cbrt N) (cbrt N)))
  (* N N)
  (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N))))
  (cbrt (* (cbrt N) (cbrt N)))
  (* N N)
  (fabs (cbrt N))
  (fabs (cbrt N))
  (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  1
  (* (cbrt N) (cbrt N))
  (* (cbrt N) (cbrt (cbrt N)))
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt N)
  (cbrt N)
  1
  (* (cbrt N) (cbrt N))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (cbrt (sqrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (* (sqrt (cbrt N)) (cbrt (sqrt N)))
  (cbrt N)
  (cbrt N)
  2/3
  2
  (* (cbrt N) (cbrt (* (cbrt N) (cbrt N))))
  (* (cbrt (sqrt N)) (cbrt N))
  (cbrt N)
  (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N))
  (* (sqrt (cbrt N)) (cbrt N))
  (cbrt N)
  (* (cbrt N) (cbrt (cbrt N)))
  (* (cbrt (sqrt N)) (cbrt N))
  (* (cbrt N) (cbrt N))
  (* (cbrt N) (cbrt (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 -1) (cbrt -1)) (cbrt (* N N)))
5.677 * * * [progress]: adding candidates to table
6.033 * * [progress]: iteration 4 / 4
6.033 * * * [progress]: picking best candidate
6.064 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))>
6.064 * * * [progress]: localizing error
6.085 * * * [progress]: generating rewritten candidates
6.085 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2)
6.088 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2)
6.089 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
6.089 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
6.164 * * * [progress]: generating series expansions
6.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2)
6.164 * [backup-simplify]: Simplify (cbrt (* N N)) into (pow (pow N 2) 1/3)
6.164 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0
6.164 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
6.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
6.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
6.164 * [taylor]: Taking taylor expansion of 1/3 in N
6.164 * [backup-simplify]: Simplify 1/3 into 1/3
6.164 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
6.164 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.164 * [taylor]: Taking taylor expansion of N in N
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 1 into 1
6.165 * [backup-simplify]: Simplify (* 1 1) into 1
6.165 * [backup-simplify]: Simplify (log 1) into 0
6.166 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.166 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
6.166 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
6.166 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N
6.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N
6.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N
6.166 * [taylor]: Taking taylor expansion of 1/3 in N
6.166 * [backup-simplify]: Simplify 1/3 into 1/3
6.166 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N
6.166 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.166 * [taylor]: Taking taylor expansion of N in N
6.166 * [backup-simplify]: Simplify 0 into 0
6.166 * [backup-simplify]: Simplify 1 into 1
6.167 * [backup-simplify]: Simplify (* 1 1) into 1
6.167 * [backup-simplify]: Simplify (log 1) into 0
6.168 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.168 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
6.168 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
6.168 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.171 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0
6.172 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.172 * [backup-simplify]: Simplify 0 into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.176 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0
6.179 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.179 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.182 * [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
6.183 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.183 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0
6.184 * [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
6.184 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.191 * [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
6.191 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0
6.194 * [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
6.194 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.203 * [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
6.204 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0
6.207 * [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
6.207 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.245 * [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
6.246 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
6.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0
6.255 * [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
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
6.255 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3)
6.255 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0
6.255 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
6.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
6.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
6.255 * [taylor]: Taking taylor expansion of 1/3 in N
6.255 * [backup-simplify]: Simplify 1/3 into 1/3
6.255 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.255 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.256 * [taylor]: Taking taylor expansion of N in N
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 1 into 1
6.256 * [backup-simplify]: Simplify (* 1 1) into 1
6.257 * [backup-simplify]: Simplify (/ 1 1) into 1
6.257 * [backup-simplify]: Simplify (log 1) into 0
6.258 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.258 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.258 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.258 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
6.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
6.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
6.258 * [taylor]: Taking taylor expansion of 1/3 in N
6.258 * [backup-simplify]: Simplify 1/3 into 1/3
6.258 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.258 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.258 * [taylor]: Taking taylor expansion of N in N
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (* 1 1) into 1
6.259 * [backup-simplify]: Simplify (/ 1 1) into 1
6.260 * [backup-simplify]: Simplify (log 1) into 0
6.260 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.260 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.260 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.261 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.264 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
6.266 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.266 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.271 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
6.273 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.274 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.281 * [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
6.282 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
6.285 * [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
6.285 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.297 * [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
6.297 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
6.300 * [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
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.310 * [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
6.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
6.314 * [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
6.314 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.336 * [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
6.337 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
6.341 * [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
6.341 * [backup-simplify]: Simplify 0 into 0
6.342 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3)
6.342 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (/ 1 (- N)))) into (pow (/ 1 (pow N 2)) 1/3)
6.342 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0
6.342 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
6.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
6.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
6.342 * [taylor]: Taking taylor expansion of 1/3 in N
6.342 * [backup-simplify]: Simplify 1/3 into 1/3
6.342 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
6.342 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.342 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.342 * [taylor]: Taking taylor expansion of N in N
6.342 * [backup-simplify]: Simplify 0 into 0
6.342 * [backup-simplify]: Simplify 1 into 1
6.342 * [backup-simplify]: Simplify (* 1 1) into 1
6.342 * [backup-simplify]: Simplify (/ 1 1) into 1
6.343 * [backup-simplify]: Simplify (log 1) into 0
6.343 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.343 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.343 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N
6.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N
6.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N
6.343 * [taylor]: Taking taylor expansion of 1/3 in N
6.343 * [backup-simplify]: Simplify 1/3 into 1/3
6.343 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N
6.343 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.343 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.343 * [taylor]: Taking taylor expansion of N in N
6.343 * [backup-simplify]: Simplify 0 into 0
6.343 * [backup-simplify]: Simplify 1 into 1
6.344 * [backup-simplify]: Simplify (* 1 1) into 1
6.344 * [backup-simplify]: Simplify (/ 1 1) into 1
6.344 * [backup-simplify]: Simplify (log 1) into 0
6.344 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.344 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.345 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.345 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.347 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
6.347 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.350 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0
6.352 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.360 * [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
6.361 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
6.364 * [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
6.364 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.377 * [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
6.378 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0
6.383 * [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
6.383 * [backup-simplify]: Simplify 0 into 0
6.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.398 * [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
6.398 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0
6.402 * [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
6.402 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.420 * [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
6.421 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0
6.429 * [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
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify (pow (/ 1 (- N)) -2/3) into (pow (/ -1 N) -2/3)
6.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2)
6.429 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
6.429 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
6.429 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
6.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
6.429 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
6.429 * [taylor]: Taking taylor expansion of 1/3 in N
6.429 * [backup-simplify]: Simplify 1/3 into 1/3
6.429 * [taylor]: Taking taylor expansion of (log N) in N
6.429 * [taylor]: Taking taylor expansion of N in N
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 1 into 1
6.430 * [backup-simplify]: Simplify (log 1) into 0
6.430 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.431 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
6.431 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
6.431 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
6.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
6.431 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
6.431 * [taylor]: Taking taylor expansion of 1/3 in N
6.431 * [backup-simplify]: Simplify 1/3 into 1/3
6.431 * [taylor]: Taking taylor expansion of (log N) in N
6.431 * [taylor]: Taking taylor expansion of N in N
6.431 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify 1 into 1
6.431 * [backup-simplify]: Simplify (log 1) into 0
6.432 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.432 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
6.432 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
6.432 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
6.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.434 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
6.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.437 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
6.438 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.439 * [backup-simplify]: Simplify 0 into 0
6.441 * [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
6.442 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
6.444 * [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
6.444 * [backup-simplify]: Simplify 0 into 0
6.450 * [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
6.450 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
6.453 * [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
6.454 * [backup-simplify]: Simplify 0 into 0
6.463 * [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
6.464 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.472 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
6.474 * [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
6.475 * [backup-simplify]: Simplify 0 into 0
6.493 * [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
6.493 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
6.498 * [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
6.498 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
6.499 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
6.499 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
6.499 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.499 * [taylor]: Taking taylor expansion of 1/3 in N
6.499 * [backup-simplify]: Simplify 1/3 into 1/3
6.499 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.499 * [taylor]: Taking taylor expansion of N in N
6.499 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify 1 into 1
6.499 * [backup-simplify]: Simplify (/ 1 1) into 1
6.499 * [backup-simplify]: Simplify (log 1) into 0
6.500 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.500 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.500 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.500 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.500 * [taylor]: Taking taylor expansion of 1/3 in N
6.500 * [backup-simplify]: Simplify 1/3 into 1/3
6.500 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.500 * [taylor]: Taking taylor expansion of N in N
6.500 * [backup-simplify]: Simplify 0 into 0
6.500 * [backup-simplify]: Simplify 1 into 1
6.500 * [backup-simplify]: Simplify (/ 1 1) into 1
6.501 * [backup-simplify]: Simplify (log 1) into 0
6.501 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.501 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.501 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.501 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
6.504 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.504 * [backup-simplify]: Simplify 0 into 0
6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.506 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
6.508 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.508 * [backup-simplify]: Simplify 0 into 0
6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.513 * [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
6.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
6.517 * [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
6.517 * [backup-simplify]: Simplify 0 into 0
6.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.527 * [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
6.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
6.530 * [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
6.530 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.540 * [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
6.540 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.542 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.544 * [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
6.544 * [backup-simplify]: Simplify 0 into 0
6.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.566 * [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
6.567 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.568 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.572 * [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
6.572 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
6.572 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
6.572 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
6.572 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
6.572 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.572 * [taylor]: Taking taylor expansion of 1/3 in N
6.572 * [backup-simplify]: Simplify 1/3 into 1/3
6.572 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.572 * [taylor]: Taking taylor expansion of N in N
6.572 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify 1 into 1
6.573 * [backup-simplify]: Simplify (/ 1 1) into 1
6.573 * [backup-simplify]: Simplify (log 1) into 0
6.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.573 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.574 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.574 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.574 * [taylor]: Taking taylor expansion of -1 in N
6.574 * [backup-simplify]: Simplify -1 into -1
6.574 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.574 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.574 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
6.575 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.575 * [taylor]: Taking taylor expansion of 1/3 in N
6.575 * [backup-simplify]: Simplify 1/3 into 1/3
6.575 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.575 * [taylor]: Taking taylor expansion of N in N
6.575 * [backup-simplify]: Simplify 0 into 0
6.575 * [backup-simplify]: Simplify 1 into 1
6.575 * [backup-simplify]: Simplify (/ 1 1) into 1
6.575 * [backup-simplify]: Simplify (log 1) into 0
6.575 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.576 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.576 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.576 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.576 * [taylor]: Taking taylor expansion of -1 in N
6.576 * [backup-simplify]: Simplify -1 into -1
6.576 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.576 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.577 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
6.577 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
6.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.579 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
6.580 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.580 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
6.580 * [backup-simplify]: Simplify 0 into 0
6.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.584 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
6.586 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.587 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
6.587 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.593 * [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
6.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
6.596 * [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
6.597 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
6.597 * [backup-simplify]: Simplify 0 into 0
6.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.612 * [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
6.613 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.615 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
6.617 * [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
6.619 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
6.619 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.633 * [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
6.634 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.637 * [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
6.638 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
6.638 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.657 * [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
6.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.666 * [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
6.667 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
6.668 * * * * [progress]: [ 3 / 4 ] generating series at (2)
6.669 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.669 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
6.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
6.669 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
6.669 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.670 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.671 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (+ (/ 1 N) 1.0) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
6.671 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
6.671 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
6.671 * [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)))
6.671 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
6.671 * [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)))
6.671 * [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)))
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [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)))
6.672 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (+ (/ 1 (- N)) 1.0) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2))))
6.672 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) in (N) around 0
6.672 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) in N
6.673 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2))))
6.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) in N
6.674 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2))))
6.675 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2))))
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 0 into 0
6.676 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) (/ 1 (- N))))) (/ (cbrt -1) (pow (/ 1 (- N)) 2)))) into (atan2 1.0 (- 1 (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1))))))
6.676 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
6.676 * [backup-simplify]: Simplify (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) into (* N (+ N 1.0))
6.676 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
6.676 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.676 * [taylor]: Taking taylor expansion of N in N
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.677 * [taylor]: Taking taylor expansion of N in N
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of 1.0 in N
6.677 * [backup-simplify]: Simplify 1.0 into 1.0
6.677 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.677 * [taylor]: Taking taylor expansion of N in N
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.677 * [taylor]: Taking taylor expansion of N in N
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of 1.0 in N
6.677 * [backup-simplify]: Simplify 1.0 into 1.0
6.682 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.682 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.682 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify (+ 1 0) into 1
6.684 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.684 * [backup-simplify]: Simplify 1.0 into 1.0
6.684 * [backup-simplify]: Simplify (+ 0 0) into 0
6.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.684 * [backup-simplify]: Simplify 1 into 1
6.685 * [backup-simplify]: Simplify (+ 0 0) into 0
6.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify (+ 0 0) into 0
6.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
6.687 * [backup-simplify]: Simplify 0 into 0
6.687 * [backup-simplify]: Simplify (+ 0 0) into 0
6.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify (+ 0 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify (+ 0 0) into 0
6.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
6.690 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
6.694 * [backup-simplify]: Simplify (* (* (+ (/ 1 N) 1.0) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))) into (/ (+ (/ 1 N) 1.0) N)
6.694 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
6.694 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.694 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.694 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.694 * [taylor]: Taking taylor expansion of N in N
6.694 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify 1 into 1
6.695 * [backup-simplify]: Simplify (/ 1 1) into 1
6.695 * [taylor]: Taking taylor expansion of 1.0 in N
6.695 * [backup-simplify]: Simplify 1.0 into 1.0
6.695 * [taylor]: Taking taylor expansion of N in N
6.695 * [backup-simplify]: Simplify 0 into 0
6.695 * [backup-simplify]: Simplify 1 into 1
6.695 * [backup-simplify]: Simplify (+ 1 0) into 1
6.696 * [backup-simplify]: Simplify (/ 1 1) into 1
6.696 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.696 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.696 * [taylor]: Taking taylor expansion of N in N
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify 1 into 1
6.697 * [backup-simplify]: Simplify (/ 1 1) into 1
6.697 * [taylor]: Taking taylor expansion of 1.0 in N
6.697 * [backup-simplify]: Simplify 1.0 into 1.0
6.697 * [taylor]: Taking taylor expansion of N in N
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 1 into 1
6.698 * [backup-simplify]: Simplify (+ 1 0) into 1
6.698 * [backup-simplify]: Simplify (/ 1 1) into 1
6.698 * [backup-simplify]: Simplify 1 into 1
6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.699 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.700 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
6.700 * [backup-simplify]: Simplify 1.0 into 1.0
6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.701 * [backup-simplify]: Simplify (+ 0 0) into 0
6.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.702 * [backup-simplify]: Simplify 0 into 0
6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.704 * [backup-simplify]: Simplify (+ 0 0) into 0
6.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.704 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.705 * [backup-simplify]: Simplify (+ 0 0) into 0
6.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.706 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.707 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.709 * [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
6.709 * [backup-simplify]: Simplify 0 into 0
6.710 * [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
6.710 * [backup-simplify]: Simplify (+ 0 0) into 0
6.711 * [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
6.711 * [backup-simplify]: Simplify 0 into 0
6.711 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
6.711 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- N)) 1.0) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))) into (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N)
6.711 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in (N) around 0
6.712 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N
6.712 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N
6.712 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.712 * [taylor]: Taking taylor expansion of -1 in N
6.712 * [backup-simplify]: Simplify -1 into -1
6.712 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.712 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.712 * [taylor]: Taking taylor expansion of 1.0 in N
6.712 * [backup-simplify]: Simplify 1.0 into 1.0
6.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.712 * [taylor]: Taking taylor expansion of N in N
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 1 into 1
6.713 * [backup-simplify]: Simplify (/ 1 1) into 1
6.713 * [taylor]: Taking taylor expansion of N in N
6.713 * [backup-simplify]: Simplify 0 into 0
6.713 * [backup-simplify]: Simplify 1 into 1
6.713 * [backup-simplify]: Simplify (- 1) into -1
6.713 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.714 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1))
6.715 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1))
6.715 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N
6.715 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N
6.715 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.715 * [taylor]: Taking taylor expansion of -1 in N
6.715 * [backup-simplify]: Simplify -1 into -1
6.715 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.716 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.716 * [taylor]: Taking taylor expansion of 1.0 in N
6.716 * [backup-simplify]: Simplify 1.0 into 1.0
6.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.716 * [taylor]: Taking taylor expansion of N in N
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (/ 1 1) into 1
6.716 * [taylor]: Taking taylor expansion of N in N
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (- 1) into -1
6.717 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.717 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1))
6.718 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1))
6.719 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1))
6.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.719 * [backup-simplify]: Simplify (- 0) into 0
6.720 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.721 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1.0) (* 0 -1)) into (* 1.0 (cbrt -1))
6.724 * [backup-simplify]: Simplify (- (/ (* 1.0 (cbrt -1)) 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)))) into (* 1.0 (cbrt -1))
6.724 * [backup-simplify]: Simplify (* 1.0 (cbrt -1)) into (* 1.0 (cbrt -1))
6.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.725 * [backup-simplify]: Simplify (- 0) into 0
6.725 * [backup-simplify]: Simplify (+ 0 0) into 0
6.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.727 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1.0) (* 0 -1))) into 0
6.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)))) into 0
6.728 * [backup-simplify]: Simplify 0 into 0
6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.729 * [backup-simplify]: Simplify (- 0) into 0
6.729 * [backup-simplify]: Simplify (+ 0 0) into 0
6.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.731 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
6.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.732 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.733 * [backup-simplify]: Simplify (- 0) into 0
6.733 * [backup-simplify]: Simplify (+ 0 0) into 0
6.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.735 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
6.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.737 * [backup-simplify]: Simplify 0 into 0
6.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.738 * [backup-simplify]: Simplify (- 0) into 0
6.739 * [backup-simplify]: Simplify (+ 0 0) into 0
6.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.742 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
6.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.744 * [backup-simplify]: Simplify 0 into 0
6.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.745 * [backup-simplify]: Simplify (- 0) into 0
6.745 * [backup-simplify]: Simplify (+ 0 0) into 0
6.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.748 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
6.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.749 * [backup-simplify]: Simplify 0 into 0
6.750 * [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
6.750 * [backup-simplify]: Simplify (- 0) into 0
6.750 * [backup-simplify]: Simplify (+ 0 0) into 0
6.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.752 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
6.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.754 * [backup-simplify]: Simplify 0 into 0
6.755 * [backup-simplify]: Simplify (+ (* (* 1.0 (cbrt -1)) (/ 1 (/ 1 (- N)))) (* (* -1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 2))) into (- (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1)))))
6.755 * * * [progress]: simplifying candidates
6.756 * [simplify]: Simplifying:
  (log (cbrt (* N N)))
  (exp (cbrt (* N N)))
  (cbrt N)
  (cbrt N)
  (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N))))
  (cbrt (cbrt (* N N)))
  (* (* (cbrt (* N N)) (cbrt (* N N))) (cbrt (* N N)))
  (sqrt (cbrt (* N N)))
  (sqrt (cbrt (* N 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 (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))
  (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))
  (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))
  (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
  (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
  (+ (+ (log (+ N 1.0)) (log (cbrt (* N N)))) (log (cbrt N)))
  (+ (log (* (+ N 1.0) (cbrt (* N N)))) (log (cbrt N)))
  (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))
  (exp (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))
  (* (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* N N)) N)
  (* (* (* (* (+ N 1.0) (cbrt (* N N))) (* (+ N 1.0) (cbrt (* N N)))) (* (+ N 1.0) (cbrt (* N N)))) N)
  (* (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
  (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))
  (* (* (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))
  (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))
  (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))
  (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N))))
  (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (sqrt N)))
  (* (* (+ N 1.0) (cbrt (* N N))) (cbrt 1))
  (* (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))
  (* (* (+ N 1.0) (cbrt (* N N))) (sqrt (cbrt N)))
  (* (* (+ N 1.0) (cbrt (* N N))) 1)
  (* (cbrt (* N N)) (cbrt N))
  (* (* (+ (pow N 3) (pow 1.0 3)) (cbrt (* N N))) (cbrt N))
  (* (* (- (* N N) (* 1.0 1.0)) (cbrt (* N N))) (cbrt N))
  (pow N 2/3)
  (pow (/ 1 N) -2/3)
  (pow (/ -1 N) -2/3)
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (- 1 (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1))))))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
  (- (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1)))))
6.757 * * [simplify]: iteration 0: 102 enodes
6.776 * * [simplify]: iteration 1: 252 enodes
6.885 * * [simplify]: iteration 2: 1237 enodes
7.264 * * [simplify]: iteration complete: 5001 enodes
7.265 * * [simplify]: Extracting #0: cost 47 inf + 0
7.267 * * [simplify]: Extracting #1: cost 692 inf + 124
7.275 * * [simplify]: Extracting #2: cost 1717 inf + 9913
7.302 * * [simplify]: Extracting #3: cost 1468 inf + 227508
7.397 * * [simplify]: Extracting #4: cost 269 inf + 535687
7.498 * * [simplify]: Extracting #5: cost 37 inf + 574282
7.579 * * [simplify]: Extracting #6: cost 14 inf + 578843
7.665 * * [simplify]: Extracting #7: cost 1 inf + 581286
7.758 * * [simplify]: Extracting #8: cost 0 inf + 581539
7.843 * [simplify]: Simplified to:
  (log (cbrt (* N N)))
  (exp (cbrt (* N N)))
  (cbrt N)
  (cbrt N)
  (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N))))
  (cbrt (cbrt (* N N)))
  (* N N)
  (sqrt (cbrt (* N N)))
  (sqrt (cbrt (* N 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))
  (log (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))))
  (* (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))) (* (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))) (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))))
  (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))
  (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))
  (log (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (log (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (log (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (exp (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (* N (* (+ 1.0 N) (* (* (+ 1.0 N) N) (* (+ 1.0 N) N))))
  (* N (* (+ 1.0 N) (* (* (+ 1.0 N) N) (* (+ 1.0 N) N))))
  (* (cbrt (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))) (cbrt (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))))
  (cbrt (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (* (* (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)) (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N))) (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (sqrt (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (sqrt (* (* (cbrt N) (cbrt (* N N))) (+ 1.0 N)))
  (* (cbrt (* (cbrt N) (cbrt N))) (* (+ 1.0 N) (cbrt (* N N))))
  (* (* (cbrt (sqrt N)) (+ 1.0 N)) (cbrt (* N N)))
  (* (+ 1.0 N) (cbrt (* N N)))
  (* (* (cbrt (* N N)) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (+ 1.0 N))
  (* (* (+ 1.0 N) (cbrt (* N N))) (sqrt (cbrt N)))
  (* (+ 1.0 N) (cbrt (* N N)))
  (* (cbrt (* N N)) (cbrt N))
  (* (* (cbrt N) (cbrt (* N N))) (+ (* N (* N N)) (* (* 1.0 1.0) 1.0)))
  (* (* (+ N 1.0) (- N 1.0)) (* (cbrt N) (cbrt (* N N))))
  (* (cbrt N) (cbrt N))
  (pow (/ 1 N) -2/3)
  (pow (/ -1 N) -2/3)
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (- 1 (* (cbrt -1) (* N (+ 1.0 N)))))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
  (* (cbrt -1) (- (* N (+ 1.0 N))))
7.847 * * * [progress]: adding candidates to table
8.166 * [progress]: [Phase 3 of 3] Extracting.
8.166 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))> #<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) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (* (sqrt (cbrt N)) (sqrt (cbrt N)))))))>)
8.167 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
8.167 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))> #<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) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (* (sqrt (cbrt N)) (sqrt (cbrt N)))))))>)
8.214 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))> #<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) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (* (sqrt (cbrt N)) (sqrt (cbrt N)))))))>)
8.272 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
8.272 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
8.272 * * [simplify]: iteration 0: 7 enodes
8.273 * * [simplify]: iteration 1: 12 enodes
8.273 * * [simplify]: iteration complete: 12 enodes
8.273 * * [simplify]: Extracting #0: cost 1 inf + 0
8.273 * * [simplify]: Extracting #1: cost 3 inf + 0
8.274 * * [simplify]: Extracting #2: cost 4 inf + 1
8.274 * * [simplify]: Extracting #3: cost 5 inf + 2
8.274 * * [simplify]: Extracting #4: cost 0 inf + 513
8.274 * [simplify]: Simplified to:
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
10.414 * [regime-testing]: Baseline error score: 0.43728114916518374
10.422 * [regime-testing]: Oracle error score: 0.39795311284805396
10.439 * [regime-testing]: End program error score: 0.43728114916518374
10.516 * [regime-testing]: Target error score: 0.43810437238067584