23.161 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.042 * * * [progress]: [2/2] Setting up program.
0.047 * [progress]: [Phase 2 of 3] Improving.
0.047 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.047 * * [simplify]: iteration 0: 6 enodes
0.048 * * [simplify]: iteration 1: 9 enodes
0.049 * * [simplify]: iteration 2: 10 enodes
0.050 * * [simplify]: iteration complete: 10 enodes
0.050 * * [simplify]: Extracting #0: cost 1 inf + 0
0.050 * * [simplify]: Extracting #1: cost 4 inf + 0
0.050 * * [simplify]: Extracting #2: cost 6 inf + 0
0.050 * * [simplify]: Extracting #3: cost 6 inf + 1
0.050 * * [simplify]: Extracting #4: cost 0 inf + 735
0.050 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.051 * * [progress]: iteration 1 / 4
0.051 * * * [progress]: picking best candidate
0.055 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.055 * * * [progress]: localizing error
0.063 * * * [progress]: generating rewritten candidates
0.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.068 * * * [progress]: generating series expansions
0.068 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.068 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.068 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.068 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.068 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.068 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.068 * [taylor]: Taking taylor expansion of (atan N) in N
0.068 * [backup-simplify]: Simplify (atan N) into (atan N)
0.068 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.068 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.068 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.068 * [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))
0.069 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.069 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
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
0.070 * [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
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [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 (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan 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 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
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 * [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))
0.073 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.073 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.073 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
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 (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [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)))
0.077 * [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 (- (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
0.078 * [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
0.078 * [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
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [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
0.140 * * [simplify]: iteration 3: 326 enodes
0.287 * * [simplify]: iteration 4: 966 enodes
0.880 * * [simplify]: iteration 5: 3570 enodes
1.903 * * [simplify]: iteration complete: 5001 enodes
1.903 * * [simplify]: Extracting #0: cost 16 inf + 0
1.903 * * [simplify]: Extracting #1: cost 156 inf + 1
1.905 * * [simplify]: Extracting #2: cost 866 inf + 3
1.909 * * [simplify]: Extracting #3: cost 1128 inf + 11343
1.924 * * [simplify]: Extracting #4: cost 989 inf + 113508
2.022 * * [simplify]: Extracting #5: cost 319 inf + 514271
2.157 * * [simplify]: Extracting #6: cost 44 inf + 634893
2.255 * * [simplify]: Extracting #7: cost 0 inf + 656298
2.352 * [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))
2.353 * * * [progress]: adding candidates to table
2.421 * * [progress]: iteration 2 / 4
2.421 * * * [progress]: picking best candidate
2.427 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
2.427 * * * [progress]: localizing error
2.446 * * * [progress]: generating rewritten candidates
2.446 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.446 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
2.479 * * * [progress]: generating series expansions
2.479 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.479 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.479 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
2.480 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.480 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.480 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.480 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.480 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.481 * [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)))
2.481 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
2.481 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.482 * [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)))
2.482 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.482 * [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)))
2.482 * [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)))
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [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)))
2.483 * [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))))
2.483 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.483 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.484 * [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))))
2.484 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.484 * [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))))
2.484 * [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))))
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.485 * [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)))
2.485 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
2.485 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
2.485 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
2.485 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.485 * [taylor]: Taking taylor expansion of N in N
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.485 * [taylor]: Taking taylor expansion of N in N
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [taylor]: Taking taylor expansion of 1.0 in N
2.485 * [backup-simplify]: Simplify 1.0 into 1.0
2.485 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.485 * [taylor]: Taking taylor expansion of N in N
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.485 * [taylor]: Taking taylor expansion of N in N
2.485 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 1 into 1
2.486 * [taylor]: Taking taylor expansion of 1.0 in N
2.486 * [backup-simplify]: Simplify 1.0 into 1.0
2.486 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.486 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (+ 1 0) into 1
2.488 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.488 * [backup-simplify]: Simplify 1.0 into 1.0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (+ 0 0) into 0
2.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify (+ 0 0) into 0
2.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
2.496 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
2.497 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
2.497 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N
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 1) into 1
2.497 * [taylor]: Taking taylor expansion of 1.0 in N
2.497 * [backup-simplify]: Simplify 1.0 into 1.0
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 0) into 1
2.497 * [backup-simplify]: Simplify (/ 1 1) into 1
2.497 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.498 * [taylor]: Taking taylor expansion of N in N
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (/ 1 1) into 1
2.498 * [taylor]: Taking taylor expansion of 1.0 in N
2.498 * [backup-simplify]: Simplify 1.0 into 1.0
2.498 * [taylor]: Taking taylor expansion of N in N
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (+ 1 0) into 1
2.498 * [backup-simplify]: Simplify (/ 1 1) into 1
2.498 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.500 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.500 * [backup-simplify]: Simplify 1.0 into 1.0
2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ 0 0) into 0
2.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.508 * [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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [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
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
2.510 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
2.510 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
2.510 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.510 * [taylor]: Taking taylor expansion of -1 in N
2.510 * [backup-simplify]: Simplify -1 into -1
2.510 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.510 * [taylor]: Taking taylor expansion of 1.0 in N
2.510 * [backup-simplify]: Simplify 1.0 into 1.0
2.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.510 * [taylor]: Taking taylor expansion of N in N
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (/ 1 1) into 1
2.510 * [taylor]: Taking taylor expansion of N in N
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (- 1) into -1
2.511 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.511 * [backup-simplify]: Simplify (/ -1 1) into -1
2.511 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.511 * [taylor]: Taking taylor expansion of -1 in N
2.511 * [backup-simplify]: Simplify -1 into -1
2.511 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.511 * [taylor]: Taking taylor expansion of 1.0 in N
2.511 * [backup-simplify]: Simplify 1.0 into 1.0
2.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.511 * [taylor]: Taking taylor expansion of N in N
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (/ 1 1) into 1
2.512 * [taylor]: Taking taylor expansion of N in N
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (- 1) into -1
2.512 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.512 * [backup-simplify]: Simplify (/ -1 1) into -1
2.513 * [backup-simplify]: Simplify (* -1 -1) into 1
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.513 * [backup-simplify]: Simplify (- 0) into 0
2.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.515 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.516 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
2.516 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (- 0) into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (- 0) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.522 * [backup-simplify]: Simplify (- 0) into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.524 * [backup-simplify]: Simplify (- 0) into 0
2.525 * [backup-simplify]: Simplify (+ 0 0) into 0
2.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (- 0) into 0
2.527 * [backup-simplify]: Simplify (+ 0 0) into 0
2.528 * [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
2.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.533 * [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
2.533 * [backup-simplify]: Simplify (- 0) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.534 * [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
2.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
2.535 * * * [progress]: simplifying candidates
2.536 * [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))
2.536 * * [simplify]: iteration 0: 55 enodes
2.547 * * [simplify]: iteration 1: 127 enodes
2.603 * * [simplify]: iteration 2: 695 enodes
2.851 * * [simplify]: iteration complete: 5002 enodes
2.851 * * [simplify]: Extracting #0: cost 23 inf + 0
2.852 * * [simplify]: Extracting #1: cost 672 inf + 0
2.856 * * [simplify]: Extracting #2: cost 1913 inf + 970
2.877 * * [simplify]: Extracting #3: cost 1904 inf + 87238
2.932 * * [simplify]: Extracting #4: cost 253 inf + 303902
2.989 * * [simplify]: Extracting #5: cost 13 inf + 337161
3.048 * * [simplify]: Extracting #6: cost 9 inf + 338761
3.114 * * [simplify]: Extracting #7: cost 3 inf + 339435
3.193 * * [simplify]: Extracting #8: cost 0 inf + 340194
3.272 * [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))
3.275 * * * [progress]: adding candidates to table
3.398 * * [progress]: iteration 3 / 4
3.398 * * * [progress]: picking best candidate
3.411 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))>
3.411 * * * [progress]: localizing error
3.443 * * * [progress]: generating rewritten candidates
3.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
3.449 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
3.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
3.462 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
3.463 * * * [progress]: generating series expansions
3.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
3.464 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.464 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.464 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.464 * [taylor]: Taking taylor expansion of 1/3 in N
3.464 * [backup-simplify]: Simplify 1/3 into 1/3
3.464 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.464 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.464 * [taylor]: Taking taylor expansion of N in N
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.464 * [taylor]: Taking taylor expansion of N in N
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [taylor]: Taking taylor expansion of 1.0 in N
3.464 * [backup-simplify]: Simplify 1.0 into 1.0
3.465 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.465 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.466 * [backup-simplify]: Simplify (+ 1 0) into 1
3.468 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.468 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.469 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.470 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.470 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.470 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.470 * [taylor]: Taking taylor expansion of 1/3 in N
3.470 * [backup-simplify]: Simplify 1/3 into 1/3
3.470 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.470 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.470 * [taylor]: Taking taylor expansion of N in N
3.470 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.471 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.471 * [taylor]: Taking taylor expansion of N in N
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.471 * [taylor]: Taking taylor expansion of 1.0 in N
3.471 * [backup-simplify]: Simplify 1.0 into 1.0
3.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.472 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.472 * [backup-simplify]: Simplify (+ 1 0) into 1
3.473 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.474 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.475 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.475 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.476 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.476 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.477 * [backup-simplify]: Simplify (+ 0 0) into 0
3.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.484 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.485 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.487 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.487 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.488 * [backup-simplify]: Simplify (+ 0 0) into 0
3.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
3.495 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.497 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
3.503 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.508 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
3.508 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.508 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.508 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.508 * [taylor]: Taking taylor expansion of 1/3 in N
3.508 * [backup-simplify]: Simplify 1/3 into 1/3
3.508 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.508 * [taylor]: Taking taylor expansion of N in N
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.508 * [backup-simplify]: Simplify (/ 1 1) into 1
3.508 * [taylor]: Taking taylor expansion of 1.0 in N
3.508 * [backup-simplify]: Simplify 1.0 into 1.0
3.508 * [taylor]: Taking taylor expansion of N in N
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (+ 1 0) into 1
3.509 * [backup-simplify]: Simplify (/ 1 1) into 1
3.509 * [backup-simplify]: Simplify (log 1) into 0
3.509 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.509 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.509 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.509 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.510 * [taylor]: Taking taylor expansion of 1/3 in N
3.510 * [backup-simplify]: Simplify 1/3 into 1/3
3.510 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.510 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.510 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.510 * [taylor]: Taking taylor expansion of N in N
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 1 into 1
3.510 * [backup-simplify]: Simplify (/ 1 1) into 1
3.510 * [taylor]: Taking taylor expansion of 1.0 in N
3.510 * [backup-simplify]: Simplify 1.0 into 1.0
3.510 * [taylor]: Taking taylor expansion of N in N
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 1 into 1
3.510 * [backup-simplify]: Simplify (+ 1 0) into 1
3.510 * [backup-simplify]: Simplify (/ 1 1) into 1
3.511 * [backup-simplify]: Simplify (log 1) into 0
3.511 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.511 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.511 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.511 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.513 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.520 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.521 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.523 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.523 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.525 * [backup-simplify]: Simplify (+ 0 0) into 0
3.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
3.538 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.542 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.547 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.548 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.548 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
3.549 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
3.549 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
3.549 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.549 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.549 * [taylor]: Taking taylor expansion of 1/3 in N
3.549 * [backup-simplify]: Simplify 1/3 into 1/3
3.549 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.549 * [taylor]: Taking taylor expansion of 1.0 in N
3.549 * [backup-simplify]: Simplify 1.0 into 1.0
3.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.549 * [taylor]: Taking taylor expansion of N in N
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.550 * [backup-simplify]: Simplify (/ 1 1) into 1
3.550 * [taylor]: Taking taylor expansion of N in N
3.550 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify 1 into 1
3.550 * [backup-simplify]: Simplify (- 1) into -1
3.550 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.551 * [backup-simplify]: Simplify (/ -1 1) into -1
3.551 * [backup-simplify]: Simplify (log -1) into (log -1)
3.551 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.552 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.552 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.552 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.552 * [taylor]: Taking taylor expansion of -1 in N
3.552 * [backup-simplify]: Simplify -1 into -1
3.552 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.553 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.553 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.553 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.553 * [taylor]: Taking taylor expansion of 1/3 in N
3.553 * [backup-simplify]: Simplify 1/3 into 1/3
3.553 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.553 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.553 * [taylor]: Taking taylor expansion of 1.0 in N
3.553 * [backup-simplify]: Simplify 1.0 into 1.0
3.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.553 * [taylor]: Taking taylor expansion of N in N
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [backup-simplify]: Simplify (/ 1 1) into 1
3.553 * [taylor]: Taking taylor expansion of N in N
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (- 1) into -1
3.554 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.554 * [backup-simplify]: Simplify (/ -1 1) into -1
3.554 * [backup-simplify]: Simplify (log -1) into (log -1)
3.555 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.555 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.556 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.556 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.556 * [taylor]: Taking taylor expansion of -1 in N
3.556 * [backup-simplify]: Simplify -1 into -1
3.556 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.556 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.557 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.558 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (- 0) into 0
3.559 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.560 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.564 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.565 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.567 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.568 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.569 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.571 * [backup-simplify]: Simplify (- 0) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
3.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.579 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.587 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.588 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.592 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
3.592 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
3.592 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.592 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.592 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.592 * [taylor]: Taking taylor expansion of 1/3 in N
3.592 * [backup-simplify]: Simplify 1/3 into 1/3
3.592 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.592 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.592 * [taylor]: Taking taylor expansion of N in N
3.592 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 1 into 1
3.593 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.593 * [taylor]: Taking taylor expansion of N in N
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 1 into 1
3.593 * [taylor]: Taking taylor expansion of 1.0 in N
3.593 * [backup-simplify]: Simplify 1.0 into 1.0
3.593 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.594 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.594 * [backup-simplify]: Simplify (+ 1 0) into 1
3.596 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.596 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.597 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.597 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.598 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.598 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.598 * [taylor]: Taking taylor expansion of 1/3 in N
3.598 * [backup-simplify]: Simplify 1/3 into 1/3
3.598 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.598 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.598 * [taylor]: Taking taylor expansion of N in N
3.598 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify 1 into 1
3.598 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.598 * [taylor]: Taking taylor expansion of N in N
3.598 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify 1 into 1
3.598 * [taylor]: Taking taylor expansion of 1.0 in N
3.598 * [backup-simplify]: Simplify 1.0 into 1.0
3.599 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.599 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.599 * [backup-simplify]: Simplify (+ 1 0) into 1
3.601 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.601 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.602 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.603 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.603 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.604 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.604 * [backup-simplify]: Simplify (+ 0 0) into 0
3.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.611 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.612 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.615 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.616 * [backup-simplify]: Simplify (+ 0 0) into 0
3.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
3.624 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.626 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
3.633 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.638 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
3.638 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.638 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.638 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.638 * [taylor]: Taking taylor expansion of 1/3 in N
3.638 * [backup-simplify]: Simplify 1/3 into 1/3
3.638 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.638 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.638 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.638 * [taylor]: Taking taylor expansion of N in N
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.638 * [backup-simplify]: Simplify (/ 1 1) into 1
3.638 * [taylor]: Taking taylor expansion of 1.0 in N
3.638 * [backup-simplify]: Simplify 1.0 into 1.0
3.638 * [taylor]: Taking taylor expansion of N in N
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.639 * [backup-simplify]: Simplify (+ 1 0) into 1
3.639 * [backup-simplify]: Simplify (/ 1 1) into 1
3.639 * [backup-simplify]: Simplify (log 1) into 0
3.639 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.639 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.639 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.639 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.640 * [taylor]: Taking taylor expansion of 1/3 in N
3.640 * [backup-simplify]: Simplify 1/3 into 1/3
3.640 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.640 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.640 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.640 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.640 * [taylor]: Taking taylor expansion of N in N
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (/ 1 1) into 1
3.640 * [taylor]: Taking taylor expansion of 1.0 in N
3.640 * [backup-simplify]: Simplify 1.0 into 1.0
3.640 * [taylor]: Taking taylor expansion of N in N
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (+ 1 0) into 1
3.640 * [backup-simplify]: Simplify (/ 1 1) into 1
3.641 * [backup-simplify]: Simplify (log 1) into 0
3.641 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.641 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.641 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.641 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.642 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.643 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.649 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.649 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.651 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.651 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
3.659 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.659 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.663 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.663 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.663 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
3.664 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
3.664 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
3.664 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.664 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.664 * [taylor]: Taking taylor expansion of 1/3 in N
3.664 * [backup-simplify]: Simplify 1/3 into 1/3
3.664 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.664 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.664 * [taylor]: Taking taylor expansion of 1.0 in N
3.664 * [backup-simplify]: Simplify 1.0 into 1.0
3.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.664 * [taylor]: Taking taylor expansion of N in N
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 1 into 1
3.664 * [backup-simplify]: Simplify (/ 1 1) into 1
3.664 * [taylor]: Taking taylor expansion of N in N
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 1 into 1
3.664 * [backup-simplify]: Simplify (- 1) into -1
3.665 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.665 * [backup-simplify]: Simplify (/ -1 1) into -1
3.665 * [backup-simplify]: Simplify (log -1) into (log -1)
3.666 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.666 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.666 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.666 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.666 * [taylor]: Taking taylor expansion of -1 in N
3.666 * [backup-simplify]: Simplify -1 into -1
3.667 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.667 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.667 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.667 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.667 * [taylor]: Taking taylor expansion of 1/3 in N
3.667 * [backup-simplify]: Simplify 1/3 into 1/3
3.667 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.667 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.667 * [taylor]: Taking taylor expansion of 1.0 in N
3.667 * [backup-simplify]: Simplify 1.0 into 1.0
3.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.667 * [taylor]: Taking taylor expansion of N in N
3.667 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (/ 1 1) into 1
3.668 * [taylor]: Taking taylor expansion of N in N
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (- 1) into -1
3.668 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.668 * [backup-simplify]: Simplify (/ -1 1) into -1
3.669 * [backup-simplify]: Simplify (log -1) into (log -1)
3.669 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.670 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.670 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.670 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.670 * [taylor]: Taking taylor expansion of -1 in N
3.670 * [backup-simplify]: Simplify -1 into -1
3.670 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.671 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.671 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.672 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.673 * [backup-simplify]: Simplify (- 0) into 0
3.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.674 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.679 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.679 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.682 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.683 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.685 * [backup-simplify]: Simplify (- 0) into 0
3.685 * [backup-simplify]: Simplify (+ 0 0) into 0
3.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
3.692 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.693 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.697 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.698 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.699 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.701 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
3.701 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
3.701 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.701 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.701 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.701 * [taylor]: Taking taylor expansion of 1/3 in N
3.701 * [backup-simplify]: Simplify 1/3 into 1/3
3.702 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.702 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.702 * [taylor]: Taking taylor expansion of N in N
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 1 into 1
3.702 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.702 * [taylor]: Taking taylor expansion of N in N
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 1 into 1
3.702 * [taylor]: Taking taylor expansion of 1.0 in N
3.702 * [backup-simplify]: Simplify 1.0 into 1.0
3.702 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.702 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.702 * [backup-simplify]: Simplify (+ 1 0) into 1
3.703 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.704 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.704 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.704 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.705 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.705 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.705 * [taylor]: Taking taylor expansion of 1/3 in N
3.705 * [backup-simplify]: Simplify 1/3 into 1/3
3.705 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.705 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.705 * [taylor]: Taking taylor expansion of N in N
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.705 * [taylor]: Taking taylor expansion of N in N
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [taylor]: Taking taylor expansion of 1.0 in N
3.705 * [backup-simplify]: Simplify 1.0 into 1.0
3.705 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.705 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.706 * [backup-simplify]: Simplify (+ 1 0) into 1
3.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.707 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.707 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.708 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.708 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.708 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.709 * [backup-simplify]: Simplify (+ 0 0) into 0
3.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.713 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.713 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.715 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.715 * [backup-simplify]: Simplify (+ 0 0) into 0
3.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.722 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
3.723 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.726 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
3.740 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.743 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
3.748 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
3.749 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.749 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.749 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.749 * [taylor]: Taking taylor expansion of 1/3 in N
3.749 * [backup-simplify]: Simplify 1/3 into 1/3
3.749 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.749 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.749 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.749 * [taylor]: Taking taylor expansion of N in N
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.749 * [backup-simplify]: Simplify (/ 1 1) into 1
3.749 * [taylor]: Taking taylor expansion of 1.0 in N
3.750 * [backup-simplify]: Simplify 1.0 into 1.0
3.750 * [taylor]: Taking taylor expansion of N in N
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (+ 1 0) into 1
3.750 * [backup-simplify]: Simplify (/ 1 1) into 1
3.751 * [backup-simplify]: Simplify (log 1) into 0
3.751 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.751 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.752 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.752 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.752 * [taylor]: Taking taylor expansion of 1/3 in N
3.752 * [backup-simplify]: Simplify 1/3 into 1/3
3.752 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.752 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.752 * [taylor]: Taking taylor expansion of N in N
3.752 * [backup-simplify]: Simplify 0 into 0
3.752 * [backup-simplify]: Simplify 1 into 1
3.752 * [backup-simplify]: Simplify (/ 1 1) into 1
3.752 * [taylor]: Taking taylor expansion of 1.0 in N
3.752 * [backup-simplify]: Simplify 1.0 into 1.0
3.752 * [taylor]: Taking taylor expansion of N in N
3.752 * [backup-simplify]: Simplify 0 into 0
3.752 * [backup-simplify]: Simplify 1 into 1
3.753 * [backup-simplify]: Simplify (+ 1 0) into 1
3.753 * [backup-simplify]: Simplify (/ 1 1) into 1
3.753 * [backup-simplify]: Simplify (log 1) into 0
3.754 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.754 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.754 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.754 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.756 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.758 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.765 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.765 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.768 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.768 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
3.783 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.784 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.788 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.788 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.789 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
3.789 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
3.789 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
3.789 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.789 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.789 * [taylor]: Taking taylor expansion of 1/3 in N
3.789 * [backup-simplify]: Simplify 1/3 into 1/3
3.789 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.789 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.789 * [taylor]: Taking taylor expansion of 1.0 in N
3.789 * [backup-simplify]: Simplify 1.0 into 1.0
3.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.789 * [taylor]: Taking taylor expansion of N in N
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 1 into 1
3.789 * [backup-simplify]: Simplify (/ 1 1) into 1
3.789 * [taylor]: Taking taylor expansion of N in N
3.790 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify 1 into 1
3.790 * [backup-simplify]: Simplify (- 1) into -1
3.790 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.790 * [backup-simplify]: Simplify (/ -1 1) into -1
3.791 * [backup-simplify]: Simplify (log -1) into (log -1)
3.791 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.791 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.792 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.792 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.792 * [taylor]: Taking taylor expansion of -1 in N
3.792 * [backup-simplify]: Simplify -1 into -1
3.792 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.792 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.792 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.792 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.793 * [taylor]: Taking taylor expansion of 1/3 in N
3.793 * [backup-simplify]: Simplify 1/3 into 1/3
3.793 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.793 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.793 * [taylor]: Taking taylor expansion of 1.0 in N
3.793 * [backup-simplify]: Simplify 1.0 into 1.0
3.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.793 * [taylor]: Taking taylor expansion of N in N
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.793 * [backup-simplify]: Simplify (/ 1 1) into 1
3.793 * [taylor]: Taking taylor expansion of N in N
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.793 * [backup-simplify]: Simplify (- 1) into -1
3.793 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.794 * [backup-simplify]: Simplify (/ -1 1) into -1
3.794 * [backup-simplify]: Simplify (log -1) into (log -1)
3.794 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.795 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.795 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.795 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.795 * [taylor]: Taking taylor expansion of -1 in N
3.795 * [backup-simplify]: Simplify -1 into -1
3.795 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.796 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.796 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.797 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.798 * [backup-simplify]: Simplify (- 0) into 0
3.798 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.799 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.804 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.804 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.808 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.809 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.811 * [backup-simplify]: Simplify (- 0) into 0
3.811 * [backup-simplify]: Simplify (+ 0 0) into 0
3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
3.819 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.819 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.825 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.826 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
3.828 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
3.828 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.829 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.829 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
3.829 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.829 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.829 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.829 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.829 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.830 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.830 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
3.830 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.830 * [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)))
3.830 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.831 * [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)))
3.831 * [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)))
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [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)))
3.832 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2))))
3.832 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0
3.832 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
3.833 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.833 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
3.835 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.835 * [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))))
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [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)))
3.835 * * * [progress]: simplifying candidates
3.836 * [simplify]: Simplifying:
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (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)))
3.837 * * [simplify]: iteration 0: 95 enodes
3.857 * * [simplify]: iteration 1: 210 enodes
3.918 * * [simplify]: iteration 2: 689 enodes
4.544 * * [simplify]: iteration 3: 3332 enodes
5.368 * * [simplify]: iteration complete: 5000 enodes
5.368 * * [simplify]: Extracting #0: cost 22 inf + 0
5.369 * * [simplify]: Extracting #1: cost 123 inf + 0
5.371 * * [simplify]: Extracting #2: cost 913 inf + 916
5.377 * * [simplify]: Extracting #3: cost 1840 inf + 17623
5.397 * * [simplify]: Extracting #4: cost 1146 inf + 127810
5.436 * * [simplify]: Extracting #5: cost 596 inf + 228219
5.481 * * [simplify]: Extracting #6: cost 311 inf + 347505
5.538 * * [simplify]: Extracting #7: cost 109 inf + 448668
5.602 * * [simplify]: Extracting #8: cost 10 inf + 510430
5.668 * * [simplify]: Extracting #9: cost 0 inf + 511922
5.736 * * [simplify]: Extracting #10: cost 0 inf + 510583
5.803 * [simplify]: Simplified to:
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))
  (cbrt (* (- N 1.0) (* (+ N 1.0) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* N (+ N 1.0))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))
  (cbrt (* (- N 1.0) (* (+ N 1.0) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* N (+ N 1.0))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (cbrt (* N (+ N 1.0))))
  (exp (cbrt (* N (+ N 1.0))))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))
  (cbrt (* (- N 1.0) (* (+ N 1.0) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0)))))
  (cbrt (cbrt (* N (+ N 1.0))))
  (* N (+ N 1.0))
  (sqrt (cbrt (* N (+ N 1.0))))
  (sqrt (cbrt (* N (+ N 1.0))))
  (log (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (exp (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))))
  (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (+ (* (* 0.05555555555555555 N) (* (cbrt (* N 1.0)) N)) (- (+ (* (* (cbrt (* N 1.0)) N) 0.3333333333333333) (cbrt (* N 1.0))) (* 1/6 (/ (/ (cbrt (* N 1.0)) (/ 1.0 N)) (/ 1.0 N)))))
  (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333))
  (+ (* (* (/ (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N)))))) N) (cbrt -1)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))))
  (+ (* (* 0.05555555555555555 N) (* (cbrt (* N 1.0)) N)) (- (+ (* (* (cbrt (* N 1.0)) N) 0.3333333333333333) (cbrt (* N 1.0))) (* 1/6 (/ (/ (cbrt (* N 1.0)) (/ 1.0 N)) (/ 1.0 N)))))
  (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333))
  (+ (* (* (/ (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N)))))) N) (cbrt -1)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))))
  (+ (* (* 0.05555555555555555 N) (* (cbrt (* N 1.0)) N)) (- (+ (* (* (cbrt (* N 1.0)) N) 0.3333333333333333) (cbrt (* N 1.0))) (* 1/6 (/ (/ (cbrt (* N 1.0)) (/ 1.0 N)) (/ 1.0 N)))))
  (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333))
  (+ (* (* (/ (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N)))))) N) (cbrt -1)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
5.808 * * * [progress]: adding candidates to table
6.043 * * [progress]: iteration 4 / 4
6.043 * * * [progress]: picking best candidate
6.061 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))))>
6.062 * * * [progress]: localizing error
6.096 * * * [progress]: generating rewritten candidates
6.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
6.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1)
6.108 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
6.108 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2)
6.109 * * * [progress]: generating series expansions
6.109 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
6.109 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
6.110 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
6.110 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
6.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
6.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
6.110 * [taylor]: Taking taylor expansion of 1/3 in N
6.110 * [backup-simplify]: Simplify 1/3 into 1/3
6.110 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
6.110 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.110 * [taylor]: Taking taylor expansion of N in N
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [backup-simplify]: Simplify 1 into 1
6.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.110 * [taylor]: Taking taylor expansion of N in N
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [backup-simplify]: Simplify 1 into 1
6.110 * [taylor]: Taking taylor expansion of 1.0 in N
6.110 * [backup-simplify]: Simplify 1.0 into 1.0
6.110 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.111 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.111 * [backup-simplify]: Simplify (+ 1 0) into 1
6.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.112 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.113 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
6.113 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
6.113 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
6.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
6.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
6.113 * [taylor]: Taking taylor expansion of 1/3 in N
6.113 * [backup-simplify]: Simplify 1/3 into 1/3
6.113 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
6.113 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.113 * [taylor]: Taking taylor expansion of N in N
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.113 * [taylor]: Taking taylor expansion of N in N
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.113 * [taylor]: Taking taylor expansion of 1.0 in N
6.113 * [backup-simplify]: Simplify 1.0 into 1.0
6.114 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.114 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.114 * [backup-simplify]: Simplify (+ 1 0) into 1
6.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.115 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.116 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.116 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
6.116 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
6.117 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
6.117 * [backup-simplify]: Simplify (+ 0 0) into 0
6.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
6.121 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.122 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
6.123 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
6.124 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
6.124 * [backup-simplify]: Simplify (+ 0 0) into 0
6.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
6.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
6.131 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.133 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
6.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
6.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
6.144 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
6.144 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
6.144 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
6.144 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
6.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
6.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
6.144 * [taylor]: Taking taylor expansion of 1/3 in N
6.144 * [backup-simplify]: Simplify 1/3 into 1/3
6.144 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
6.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.144 * [taylor]: Taking taylor expansion of N in N
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (/ 1 1) into 1
6.145 * [taylor]: Taking taylor expansion of 1.0 in N
6.145 * [backup-simplify]: Simplify 1.0 into 1.0
6.145 * [taylor]: Taking taylor expansion of N in N
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (+ 1 0) into 1
6.145 * [backup-simplify]: Simplify (/ 1 1) into 1
6.145 * [backup-simplify]: Simplify (log 1) into 0
6.146 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.146 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.146 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.146 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
6.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
6.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
6.146 * [taylor]: Taking taylor expansion of 1/3 in N
6.146 * [backup-simplify]: Simplify 1/3 into 1/3
6.146 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
6.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.146 * [taylor]: Taking taylor expansion of N in N
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (/ 1 1) into 1
6.146 * [taylor]: Taking taylor expansion of 1.0 in N
6.146 * [backup-simplify]: Simplify 1.0 into 1.0
6.146 * [taylor]: Taking taylor expansion of N in N
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.147 * [backup-simplify]: Simplify (+ 1 0) into 1
6.147 * [backup-simplify]: Simplify (/ 1 1) into 1
6.147 * [backup-simplify]: Simplify (log 1) into 0
6.147 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.147 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.147 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.148 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.149 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
6.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.153 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.154 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
6.155 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.155 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.156 * [backup-simplify]: Simplify (+ 0 0) into 0
6.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
6.163 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.164 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
6.169 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
6.169 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
6.170 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
6.170 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
6.170 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
6.170 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
6.170 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
6.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
6.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
6.170 * [taylor]: Taking taylor expansion of 1/3 in N
6.170 * [backup-simplify]: Simplify 1/3 into 1/3
6.170 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
6.170 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
6.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.170 * [taylor]: Taking taylor expansion of 1.0 in N
6.170 * [backup-simplify]: Simplify 1.0 into 1.0
6.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.170 * [taylor]: Taking taylor expansion of N in N
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (/ 1 1) into 1
6.171 * [taylor]: Taking taylor expansion of N in N
6.171 * [backup-simplify]: Simplify 0 into 0
6.171 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (- 1) into -1
6.171 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.171 * [backup-simplify]: Simplify (/ -1 1) into -1
6.172 * [backup-simplify]: Simplify (log -1) into (log -1)
6.172 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.173 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
6.173 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
6.173 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.173 * [taylor]: Taking taylor expansion of -1 in N
6.173 * [backup-simplify]: Simplify -1 into -1
6.173 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.174 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.174 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
6.174 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
6.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
6.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
6.174 * [taylor]: Taking taylor expansion of 1/3 in N
6.174 * [backup-simplify]: Simplify 1/3 into 1/3
6.174 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
6.174 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
6.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.174 * [taylor]: Taking taylor expansion of 1.0 in N
6.174 * [backup-simplify]: Simplify 1.0 into 1.0
6.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.174 * [taylor]: Taking taylor expansion of N in N
6.174 * [backup-simplify]: Simplify 0 into 0
6.174 * [backup-simplify]: Simplify 1 into 1
6.174 * [backup-simplify]: Simplify (/ 1 1) into 1
6.174 * [taylor]: Taking taylor expansion of N in N
6.174 * [backup-simplify]: Simplify 0 into 0
6.174 * [backup-simplify]: Simplify 1 into 1
6.174 * [backup-simplify]: Simplify (- 1) into -1
6.175 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.175 * [backup-simplify]: Simplify (/ -1 1) into -1
6.175 * [backup-simplify]: Simplify (log -1) into (log -1)
6.176 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.176 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
6.176 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
6.176 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.176 * [taylor]: Taking taylor expansion of -1 in N
6.176 * [backup-simplify]: Simplify -1 into -1
6.177 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.178 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.179 * [backup-simplify]: Simplify (- 0) into 0
6.180 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.181 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
6.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
6.186 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.186 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
6.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.190 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.190 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.192 * [backup-simplify]: Simplify (- 0) into 0
6.192 * [backup-simplify]: Simplify (+ 0 0) into 0
6.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
6.200 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.201 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
6.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.206 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.207 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.209 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
6.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1)
6.209 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
6.209 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
6.209 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
6.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
6.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
6.210 * [taylor]: Taking taylor expansion of 1/3 in N
6.210 * [backup-simplify]: Simplify 1/3 into 1/3
6.210 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
6.210 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.210 * [taylor]: Taking taylor expansion of N in N
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [backup-simplify]: Simplify 1 into 1
6.210 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.210 * [taylor]: Taking taylor expansion of N in N
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [backup-simplify]: Simplify 1 into 1
6.210 * [taylor]: Taking taylor expansion of 1.0 in N
6.210 * [backup-simplify]: Simplify 1.0 into 1.0
6.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.210 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.211 * [backup-simplify]: Simplify (+ 1 0) into 1
6.211 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.212 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.212 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.212 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
6.213 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
6.213 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
6.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
6.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
6.213 * [taylor]: Taking taylor expansion of 1/3 in N
6.213 * [backup-simplify]: Simplify 1/3 into 1/3
6.213 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
6.213 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.213 * [taylor]: Taking taylor expansion of N in N
6.213 * [backup-simplify]: Simplify 0 into 0
6.213 * [backup-simplify]: Simplify 1 into 1
6.213 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.213 * [taylor]: Taking taylor expansion of N in N
6.213 * [backup-simplify]: Simplify 0 into 0
6.213 * [backup-simplify]: Simplify 1 into 1
6.213 * [taylor]: Taking taylor expansion of 1.0 in N
6.213 * [backup-simplify]: Simplify 1.0 into 1.0
6.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.214 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.214 * [backup-simplify]: Simplify (+ 1 0) into 1
6.215 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.215 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.215 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.216 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
6.216 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
6.216 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
6.217 * [backup-simplify]: Simplify (+ 0 0) into 0
6.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
6.221 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.221 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
6.223 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
6.223 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
6.224 * [backup-simplify]: Simplify (+ 0 0) into 0
6.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
6.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
6.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
6.232 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2))))
6.239 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
6.241 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))
6.244 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
6.244 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
6.244 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
6.244 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
6.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
6.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
6.244 * [taylor]: Taking taylor expansion of 1/3 in N
6.244 * [backup-simplify]: Simplify 1/3 into 1/3
6.244 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
6.244 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.244 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.244 * [taylor]: Taking taylor expansion of N in N
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (/ 1 1) into 1
6.244 * [taylor]: Taking taylor expansion of 1.0 in N
6.244 * [backup-simplify]: Simplify 1.0 into 1.0
6.244 * [taylor]: Taking taylor expansion of N in N
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.245 * [backup-simplify]: Simplify (+ 1 0) into 1
6.245 * [backup-simplify]: Simplify (/ 1 1) into 1
6.245 * [backup-simplify]: Simplify (log 1) into 0
6.245 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.245 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.246 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.246 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
6.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
6.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
6.246 * [taylor]: Taking taylor expansion of 1/3 in N
6.246 * [backup-simplify]: Simplify 1/3 into 1/3
6.246 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
6.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.246 * [taylor]: Taking taylor expansion of N in N
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (/ 1 1) into 1
6.246 * [taylor]: Taking taylor expansion of 1.0 in N
6.246 * [backup-simplify]: Simplify 1.0 into 1.0
6.246 * [taylor]: Taking taylor expansion of N in N
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (+ 1 0) into 1
6.247 * [backup-simplify]: Simplify (/ 1 1) into 1
6.247 * [backup-simplify]: Simplify (log 1) into 0
6.247 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.247 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.247 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.247 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.249 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
6.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
6.255 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.256 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
6.257 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.257 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.258 * [backup-simplify]: Simplify (+ 0 0) into 0
6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
6.266 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.266 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
6.270 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
6.270 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
6.270 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
6.271 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
6.271 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
6.271 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
6.271 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
6.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
6.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
6.271 * [taylor]: Taking taylor expansion of 1/3 in N
6.271 * [backup-simplify]: Simplify 1/3 into 1/3
6.271 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
6.271 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
6.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.271 * [taylor]: Taking taylor expansion of 1.0 in N
6.271 * [backup-simplify]: Simplify 1.0 into 1.0
6.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.271 * [taylor]: Taking taylor expansion of N in N
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 1 into 1
6.271 * [backup-simplify]: Simplify (/ 1 1) into 1
6.271 * [taylor]: Taking taylor expansion of N in N
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 1 into 1
6.271 * [backup-simplify]: Simplify (- 1) into -1
6.272 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.272 * [backup-simplify]: Simplify (/ -1 1) into -1
6.272 * [backup-simplify]: Simplify (log -1) into (log -1)
6.273 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.273 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
6.273 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
6.273 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.273 * [taylor]: Taking taylor expansion of -1 in N
6.273 * [backup-simplify]: Simplify -1 into -1
6.274 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.274 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.274 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
6.274 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
6.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
6.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
6.274 * [taylor]: Taking taylor expansion of 1/3 in N
6.274 * [backup-simplify]: Simplify 1/3 into 1/3
6.274 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
6.274 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
6.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.274 * [taylor]: Taking taylor expansion of 1.0 in N
6.274 * [backup-simplify]: Simplify 1.0 into 1.0
6.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.274 * [taylor]: Taking taylor expansion of N in N
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.275 * [backup-simplify]: Simplify (/ 1 1) into 1
6.275 * [taylor]: Taking taylor expansion of N in N
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 1 into 1
6.275 * [backup-simplify]: Simplify (- 1) into -1
6.275 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.275 * [backup-simplify]: Simplify (/ -1 1) into -1
6.276 * [backup-simplify]: Simplify (log -1) into (log -1)
6.276 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.276 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
6.277 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
6.277 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.277 * [taylor]: Taking taylor expansion of -1 in N
6.277 * [backup-simplify]: Simplify -1 into -1
6.277 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.278 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.279 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify (- 0) into 0
6.280 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.281 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
6.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
6.286 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.286 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
6.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.289 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.290 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.292 * [backup-simplify]: Simplify (- 0) into 0
6.292 * [backup-simplify]: Simplify (+ 0 0) into 0
6.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
6.299 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
6.300 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
6.304 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
6.305 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.306 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
6.309 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
6.309 * * * * [progress]: [ 3 / 4 ] generating series at (2)
6.309 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.309 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
6.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
6.309 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
6.309 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.310 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.310 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
6.310 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
6.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
6.311 * [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)))
6.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
6.311 * [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)))
6.311 * [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)))
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [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)))
6.312 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2))))
6.312 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0
6.312 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
6.314 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
6.314 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N
6.315 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
6.315 * [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))))
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 0 into 0
6.316 * [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)))
6.316 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2)
6.316 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
6.316 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
6.316 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
6.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
6.316 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
6.316 * [taylor]: Taking taylor expansion of 1/3 in N
6.316 * [backup-simplify]: Simplify 1/3 into 1/3
6.316 * [taylor]: Taking taylor expansion of (log N) in N
6.316 * [taylor]: Taking taylor expansion of N in N
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 1 into 1
6.316 * [backup-simplify]: Simplify (log 1) into 0
6.317 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.317 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
6.317 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
6.317 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
6.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
6.317 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
6.317 * [taylor]: Taking taylor expansion of 1/3 in N
6.317 * [backup-simplify]: Simplify 1/3 into 1/3
6.317 * [taylor]: Taking taylor expansion of (log N) in N
6.317 * [taylor]: Taking taylor expansion of N in N
6.317 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify 1 into 1
6.317 * [backup-simplify]: Simplify (log 1) into 0
6.317 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.317 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
6.317 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
6.318 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
6.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.319 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
6.319 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.321 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
6.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.323 * [backup-simplify]: Simplify 0 into 0
6.325 * [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
6.326 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
6.327 * [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
6.327 * [backup-simplify]: Simplify 0 into 0
6.333 * [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
6.334 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
6.336 * [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
6.336 * [backup-simplify]: Simplify 0 into 0
6.348 * [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
6.348 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
6.351 * [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
6.351 * [backup-simplify]: Simplify 0 into 0
6.367 * [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
6.367 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
6.369 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
6.372 * [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
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
6.372 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
6.372 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
6.372 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.372 * [taylor]: Taking taylor expansion of 1/3 in N
6.372 * [backup-simplify]: Simplify 1/3 into 1/3
6.372 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.372 * [taylor]: Taking taylor expansion of N in N
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify 1 into 1
6.372 * [backup-simplify]: Simplify (/ 1 1) into 1
6.373 * [backup-simplify]: Simplify (log 1) into 0
6.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.373 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.373 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.373 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.373 * [taylor]: Taking taylor expansion of 1/3 in N
6.373 * [backup-simplify]: Simplify 1/3 into 1/3
6.373 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.373 * [taylor]: Taking taylor expansion of N in N
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [backup-simplify]: Simplify (/ 1 1) into 1
6.374 * [backup-simplify]: Simplify (log 1) into 0
6.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.374 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.374 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.374 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
6.377 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
6.380 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.380 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.384 * [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
6.384 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
6.386 * [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
6.386 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.393 * [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
6.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
6.396 * [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
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.405 * [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
6.406 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.409 * [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
6.409 * [backup-simplify]: Simplify 0 into 0
6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.428 * [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
6.429 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.430 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.433 * [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
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
6.433 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
6.433 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
6.434 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
6.434 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.434 * [taylor]: Taking taylor expansion of 1/3 in N
6.434 * [backup-simplify]: Simplify 1/3 into 1/3
6.434 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.434 * [taylor]: Taking taylor expansion of N in N
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 1 into 1
6.434 * [backup-simplify]: Simplify (/ 1 1) into 1
6.434 * [backup-simplify]: Simplify (log 1) into 0
6.434 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.435 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.435 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.435 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.435 * [taylor]: Taking taylor expansion of -1 in N
6.435 * [backup-simplify]: Simplify -1 into -1
6.435 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.435 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.435 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
6.435 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
6.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
6.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
6.435 * [taylor]: Taking taylor expansion of 1/3 in N
6.436 * [backup-simplify]: Simplify 1/3 into 1/3
6.436 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
6.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.436 * [taylor]: Taking taylor expansion of N in N
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 1 into 1
6.436 * [backup-simplify]: Simplify (/ 1 1) into 1
6.436 * [backup-simplify]: Simplify (log 1) into 0
6.437 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.437 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
6.437 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
6.437 * [taylor]: Taking taylor expansion of (cbrt -1) in N
6.437 * [taylor]: Taking taylor expansion of -1 in N
6.437 * [backup-simplify]: Simplify -1 into -1
6.437 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
6.437 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
6.438 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
6.438 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.440 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
6.441 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
6.441 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
6.441 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
6.446 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.446 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.451 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
6.453 * [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
6.453 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
6.453 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.461 * [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
6.461 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
6.463 * [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
6.464 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
6.464 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.475 * [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
6.476 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
6.479 * [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
6.480 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.499 * [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
6.499 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
6.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
6.503 * [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
6.504 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
6.504 * [backup-simplify]: Simplify 0 into 0
6.505 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
6.505 * * * [progress]: simplifying candidates
6.506 * [simplify]: Simplifying:
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (cbrt (* (+ N 1.0) N)))
  (exp (cbrt (* (+ N 1.0) N)))
  (cbrt (+ N 1.0))
  (cbrt N)
  (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))
  (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (cbrt (* (- (* N N) (* 1.0 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))
  (cbrt (cbrt (* (+ N 1.0) N)))
  (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (sqrt (cbrt (* (+ N 1.0) N)))
  (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N)))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt N))) (cbrt (* (+ N 1.0) 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))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))
  (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)))
  (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
  (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)))
  (pow N 1/3)
  (pow (/ 1 N) -1/3)
  (* (pow (* N -1) 1/3) (cbrt -1))
6.507 * * [simplify]: iteration 0: 115 enodes
6.531 * * [simplify]: iteration 1: 250 enodes
6.605 * * [simplify]: iteration 2: 814 enodes
7.119 * * [simplify]: iteration 3: 3772 enodes
7.874 * * [simplify]: iteration complete: 5001 enodes
7.874 * * [simplify]: Extracting #0: cost 33 inf + 0
7.875 * * [simplify]: Extracting #1: cost 174 inf + 83
7.877 * * [simplify]: Extracting #2: cost 674 inf + 3626
7.883 * * [simplify]: Extracting #3: cost 1588 inf + 26271
7.906 * * [simplify]: Extracting #4: cost 861 inf + 142631
7.941 * * [simplify]: Extracting #5: cost 355 inf + 271537
7.996 * * [simplify]: Extracting #6: cost 88 inf + 401503
8.052 * * [simplify]: Extracting #7: cost 4 inf + 435451
8.112 * * [simplify]: Extracting #8: cost 0 inf + 436001
8.170 * * [simplify]: Extracting #9: cost 0 inf + 434141
8.232 * * [simplify]: Extracting #10: cost 0 inf + 433823
8.289 * * [simplify]: Extracting #11: cost 0 inf + 433822
8.348 * [simplify]: Simplified to:
  (log (cbrt (* (+ 1.0 N) N)))
  (exp (cbrt (* (+ 1.0 N) N)))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (- (* 1.0 1.0) (* N (- 1.0 N))))
  (cbrt (* (- N 1.0) (* (+ 1.0 N) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ 1.0 N) N))) (cbrt (cbrt (* (+ 1.0 N) N))))
  (cbrt (cbrt (* (+ 1.0 N) N)))
  (* (+ 1.0 N) N)
  (sqrt (cbrt (* (+ 1.0 N) N)))
  (sqrt (cbrt (* (+ 1.0 N) N)))
  (log (cbrt (* (+ 1.0 N) N)))
  (exp (cbrt (* (+ 1.0 N) N)))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))
  (cbrt (- (* 1.0 1.0) (* N (- 1.0 N))))
  (cbrt (* (- N 1.0) (* (+ 1.0 N) N)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* (+ 1.0 N) N))) (cbrt (cbrt (* (+ 1.0 N) N))))
  (cbrt (cbrt (* (+ 1.0 N) N)))
  (* (+ 1.0 N) N)
  (sqrt (cbrt (* (+ 1.0 N) N)))
  (sqrt (cbrt (* (+ 1.0 N) N)))
  (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N)))))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N)))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N))))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N)))))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N))))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 N) N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ 1.0 N) N)) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (* (+ 1.0 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))
  (+ (+ (* (cbrt (* 1.0 N)) (+ (* (* N N) 0.05555555555555555) (* 0.3333333333333333 N))) (* (/ -1/6 (/ 1.0 N)) (/ (cbrt (* 1.0 N)) (/ 1.0 N)))) (cbrt (* 1.0 N)))
  (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (- (pow (/ 1 N) -2/3) (* (cbrt (/ (/ 1 (* N N)) (* N N))) 0.1111111111111111)))
  (- (* (* 0.3333333333333333 (/ (cbrt -1) N)) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))) (* N N)) (* (cbrt -1) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N)))))))))
  (+ (+ (* (cbrt (* 1.0 N)) (+ (* (* N N) 0.05555555555555555) (* 0.3333333333333333 N))) (* (/ -1/6 (/ 1.0 N)) (/ (cbrt (* 1.0 N)) (/ 1.0 N)))) (cbrt (* 1.0 N)))
  (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (- (pow (/ 1 N) -2/3) (* (cbrt (/ (/ 1 (* N N)) (* N N))) 0.1111111111111111)))
  (- (* (* 0.3333333333333333 (/ (cbrt -1) N)) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 N))))))) (* N N)) (* (cbrt -1) (cbrt (/ -1 (* (exp (log (/ -1 N))) (exp (log (/ -1 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)))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
8.353 * * * [progress]: adding candidates to table
8.605 * [progress]: [Phase 3 of 3] Extracting.
8.606 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (* 1.0 (* 1.0 1.0)) (* N (* N N))) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt 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))))))>)
8.607 * * * [regime-changes]: Trying 1 branch expressions: (N)
8.607 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (* 1.0 (* 1.0 1.0)) (* N (* N N))) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (cbrt (+ N 1.0)) (cbrt 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))))))>)
8.646 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
8.646 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
8.646 * * [simplify]: iteration 0: 7 enodes
8.647 * * [simplify]: iteration 1: 12 enodes
8.647 * * [simplify]: iteration complete: 12 enodes
8.647 * * [simplify]: Extracting #0: cost 1 inf + 0
8.647 * * [simplify]: Extracting #1: cost 3 inf + 0
8.647 * * [simplify]: Extracting #2: cost 4 inf + 1
8.647 * * [simplify]: Extracting #3: cost 5 inf + 2
8.648 * * [simplify]: Extracting #4: cost 0 inf + 513
8.648 * [simplify]: Simplified to:
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
10.468 * [regime-testing]: Baseline error score: 0.40939214571981764
10.476 * [regime-testing]: Oracle error score: 0.3798884577588225
10.492 * [regime-testing]: End program error score: 0.40939214571981764
10.563 * [regime-testing]: Target error score: 0.41091357652384847