40.287 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.053 * * * [progress]: [2/2] Setting up program.
0.056 * [progress]: [Phase 2 of 3] Improving.
0.056 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.056 * * [simplify]: iteration 0: 6 enodes
0.057 * * [simplify]: iteration 1: 9 enodes
0.058 * * [simplify]: iteration 2: 10 enodes
0.060 * * [simplify]: iteration complete: 10 enodes
0.060 * * [simplify]: Extracting #0: cost 1 inf + 0
0.060 * * [simplify]: Extracting #1: cost 4 inf + 0
0.060 * * [simplify]: Extracting #2: cost 6 inf + 0
0.060 * * [simplify]: Extracting #3: cost 6 inf + 1
0.060 * * [simplify]: Extracting #4: cost 0 inf + 735
0.060 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.060 * * [progress]: iteration 1 / 4
0.060 * * * [progress]: picking best candidate
0.063 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.064 * * * [progress]: localizing error
0.072 * * * [progress]: generating rewritten candidates
0.072 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.077 * * * [progress]: generating series expansions
0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.077 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.077 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.077 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.077 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.078 * [taylor]: Taking taylor expansion of (atan N) in N
0.078 * [backup-simplify]: Simplify (atan N) into (atan N)
0.078 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.078 * [taylor]: Taking taylor expansion of (atan N) in N
0.078 * [backup-simplify]: Simplify (atan N) into (atan N)
0.078 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.078 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.079 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
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 (- 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 (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (- 0) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.082 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.082 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.082 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.082 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.082 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.082 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.082 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.082 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.082 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.082 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.082 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.083 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.083 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- 0) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (- 0) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.086 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.086 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.086 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.086 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.086 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.086 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.086 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.086 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.086 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.086 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.086 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.086 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.087 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.087 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.087 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.087 * [backup-simplify]: Simplify (- 0) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (- 0) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (- 0) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- 0) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.090 * * * [progress]: simplifying candidates
0.091 * [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))
0.091 * * [simplify]: iteration 0: 36 enodes
0.097 * * [simplify]: iteration 1: 73 enodes
0.112 * * [simplify]: iteration 2: 147 enodes
0.149 * * [simplify]: iteration 3: 281 enodes
0.203 * * [simplify]: iteration 4: 605 enodes
0.487 * * [simplify]: iteration 5: 1546 enodes
1.321 * * [simplify]: iteration complete: 5000 enodes
1.321 * * [simplify]: Extracting #0: cost 16 inf + 0
1.322 * * [simplify]: Extracting #1: cost 247 inf + 1
1.328 * * [simplify]: Extracting #2: cost 1115 inf + 3
1.338 * * [simplify]: Extracting #3: cost 1296 inf + 2135
1.360 * * [simplify]: Extracting #4: cost 1097 inf + 86558
1.444 * * [simplify]: Extracting #5: cost 356 inf + 492666
1.566 * * [simplify]: Extracting #6: cost 18 inf + 746347
1.706 * * [simplify]: Extracting #7: cost 0 inf + 757322
1.811 * * [simplify]: Extracting #8: cost 0 inf + 757060
1.913 * [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 (+ 1.0 N))) (* (atan N) (atan N)))
  (+ (atan N) (atan (+ 1.0 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N))))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
1.914 * * * [progress]: adding candidates to table
1.966 * * [progress]: iteration 2 / 4
1.966 * * * [progress]: picking best candidate
1.969 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.969 * * * [progress]: localizing error
1.978 * * * [progress]: generating rewritten candidates
1.978 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.978 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
1.998 * * * [progress]: generating series expansions
1.998 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.998 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.998 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
1.998 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
1.998 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.998 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
1.998 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
1.999 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.999 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
1.999 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
1.999 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
1.999 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.000 * [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)))
2.000 * [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)))
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [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)))
2.000 * [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))))
2.000 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.000 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.000 * [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))))
2.000 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.001 * [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))))
2.001 * [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))))
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [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)))
2.001 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
2.001 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
2.001 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
2.001 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.001 * [taylor]: Taking taylor expansion of N in N
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 1 into 1
2.001 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.001 * [taylor]: Taking taylor expansion of N in N
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 1 into 1
2.002 * [taylor]: Taking taylor expansion of 1.0 in N
2.002 * [backup-simplify]: Simplify 1.0 into 1.0
2.002 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
2.002 * [taylor]: Taking taylor expansion of N in N
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.002 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
2.002 * [taylor]: Taking taylor expansion of N in N
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.002 * [taylor]: Taking taylor expansion of 1.0 in N
2.002 * [backup-simplify]: Simplify 1.0 into 1.0
2.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.003 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify (+ 1 0) into 1
2.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
2.004 * [backup-simplify]: Simplify 1.0 into 1.0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
2.005 * [backup-simplify]: Simplify 1 into 1
2.005 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify (+ 0 0) into 0
2.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify (+ 0 0) into 0
2.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (+ 0 0) into 0
2.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
2.012 * [backup-simplify]: Simplify 0 into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
2.012 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
2.012 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
2.012 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.012 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.012 * [taylor]: Taking taylor expansion of N in N
2.012 * [backup-simplify]: Simplify 0 into 0
2.012 * [backup-simplify]: Simplify 1 into 1
2.013 * [backup-simplify]: Simplify (/ 1 1) into 1
2.013 * [taylor]: Taking taylor expansion of 1.0 in N
2.013 * [backup-simplify]: Simplify 1.0 into 1.0
2.013 * [taylor]: Taking taylor expansion of N in N
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.013 * [backup-simplify]: Simplify (+ 1 0) into 1
2.013 * [backup-simplify]: Simplify (/ 1 1) into 1
2.013 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
2.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.013 * [taylor]: Taking taylor expansion of N in N
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.014 * [backup-simplify]: Simplify (/ 1 1) into 1
2.014 * [taylor]: Taking taylor expansion of 1.0 in N
2.014 * [backup-simplify]: Simplify 1.0 into 1.0
2.014 * [taylor]: Taking taylor expansion of N in N
2.014 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify 1 into 1
2.014 * [backup-simplify]: Simplify (+ 1 0) into 1
2.014 * [backup-simplify]: Simplify (/ 1 1) into 1
2.014 * [backup-simplify]: Simplify 1 into 1
2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.015 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.016 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
2.016 * [backup-simplify]: Simplify 1.0 into 1.0
2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.017 * [backup-simplify]: Simplify (+ 0 0) into 0
2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.019 * [backup-simplify]: Simplify (+ 0 0) into 0
2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.019 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify (+ 0 0) into 0
2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.022 * [backup-simplify]: Simplify (+ 0 0) into 0
2.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.022 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (+ 0 0) into 0
2.024 * [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
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [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
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [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
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
2.026 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
2.026 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
2.026 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.026 * [taylor]: Taking taylor expansion of -1 in N
2.026 * [backup-simplify]: Simplify -1 into -1
2.026 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.026 * [taylor]: Taking taylor expansion of 1.0 in N
2.026 * [backup-simplify]: Simplify 1.0 into 1.0
2.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.026 * [taylor]: Taking taylor expansion of N in N
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.026 * [taylor]: Taking taylor expansion of N in N
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (- 1) into -1
2.027 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.027 * [backup-simplify]: Simplify (/ -1 1) into -1
2.027 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
2.027 * [taylor]: Taking taylor expansion of -1 in N
2.027 * [backup-simplify]: Simplify -1 into -1
2.027 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
2.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
2.027 * [taylor]: Taking taylor expansion of 1.0 in N
2.027 * [backup-simplify]: Simplify 1.0 into 1.0
2.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.027 * [taylor]: Taking taylor expansion of N in N
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 1 into 1
2.027 * [backup-simplify]: Simplify (/ 1 1) into 1
2.027 * [taylor]: Taking taylor expansion of N in N
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 1 into 1
2.028 * [backup-simplify]: Simplify (- 1) into -1
2.028 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.028 * [backup-simplify]: Simplify (/ -1 1) into -1
2.028 * [backup-simplify]: Simplify (* -1 -1) into 1
2.028 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (- 0) into 0
2.029 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.031 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
2.031 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
2.032 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.032 * [backup-simplify]: Simplify (- 0) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.035 * [backup-simplify]: Simplify (- 0) into 0
2.035 * [backup-simplify]: Simplify (+ 0 0) into 0
2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
2.036 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.037 * [backup-simplify]: Simplify (- 0) into 0
2.037 * [backup-simplify]: Simplify (+ 0 0) into 0
2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (- 0) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (- 0) into 0
2.043 * [backup-simplify]: Simplify (+ 0 0) into 0
2.043 * [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
2.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.045 * [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
2.045 * [backup-simplify]: Simplify (- 0) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [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
2.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
2.048 * * * [progress]: simplifying candidates
2.048 * [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))
2.049 * * [simplify]: iteration 0: 55 enodes
2.059 * * [simplify]: iteration 1: 126 enodes
2.098 * * [simplify]: iteration 2: 337 enodes
2.237 * * [simplify]: iteration 3: 1156 enodes
2.899 * * [simplify]: iteration complete: 5001 enodes
2.899 * * [simplify]: Extracting #0: cost 23 inf + 0
2.900 * * [simplify]: Extracting #1: cost 381 inf + 0
2.903 * * [simplify]: Extracting #2: cost 1323 inf + 652
2.912 * * [simplify]: Extracting #3: cost 1631 inf + 36860
2.952 * * [simplify]: Extracting #4: cost 465 inf + 247248
3.007 * * [simplify]: Extracting #5: cost 33 inf + 351026
3.066 * * [simplify]: Extracting #6: cost 2 inf + 356490
3.123 * * [simplify]: Extracting #7: cost 0 inf + 356996
3.180 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (exp (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))))
  (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))
  (* N (+ N 1.0))
  (log (* N (+ N 1.0)))
  (log (* N (+ N 1.0)))
  (exp (* N (+ N 1.0)))
  (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0)))
  (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))))
  (cbrt (* N (+ N 1.0)))
  (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (sqrt (* N (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* (sqrt N) (sqrt (+ N 1.0)))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (sqrt N) (+ N 1.0))
  (+ N 1.0)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* N (+ N 1.0))
  (* N (+ N 1.0))
  (+ (* (* N N) (* N N)) (* (* N 1.0) (* 1.0 1.0)))
  (* (- N 1.0) (* N (+ N 1.0)))
  (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))
  (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))
  (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))
  (+ (* N N) (* 1.0 N))
  (+ (* N N) (* 1.0 N))
  (+ (* N N) (* 1.0 N))
3.181 * * * [progress]: adding candidates to table
3.276 * * [progress]: iteration 3 / 4
3.276 * * * [progress]: picking best candidate
3.285 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))>
3.286 * * * [progress]: localizing error
3.311 * * * [progress]: generating rewritten candidates
3.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
3.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
3.323 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
3.329 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
3.330 * * * [progress]: generating series expansions
3.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
3.330 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.330 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.330 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.330 * [taylor]: Taking taylor expansion of 1/3 in N
3.330 * [backup-simplify]: Simplify 1/3 into 1/3
3.330 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.330 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.330 * [taylor]: Taking taylor expansion of N in N
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 1 into 1
3.330 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.330 * [taylor]: Taking taylor expansion of N in N
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 1 into 1
3.330 * [taylor]: Taking taylor expansion of 1.0 in N
3.330 * [backup-simplify]: Simplify 1.0 into 1.0
3.331 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.331 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.331 * [backup-simplify]: Simplify (+ 1 0) into 1
3.332 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.333 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.333 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.333 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.334 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.334 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.334 * [taylor]: Taking taylor expansion of 1/3 in N
3.334 * [backup-simplify]: Simplify 1/3 into 1/3
3.334 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.334 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.334 * [taylor]: Taking taylor expansion of N in N
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.334 * [taylor]: Taking taylor expansion of N in N
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [taylor]: Taking taylor expansion of 1.0 in N
3.334 * [backup-simplify]: Simplify 1.0 into 1.0
3.334 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.334 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.335 * [backup-simplify]: Simplify (+ 1 0) into 1
3.336 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.336 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.336 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.337 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.337 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.337 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.342 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.345 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.347 * [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)))))
3.348 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.348 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.354 * [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))
3.355 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.357 * [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))))
3.364 * [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)))))
3.366 * [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)))))
3.368 * [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))))
3.369 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.369 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.369 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.369 * [taylor]: Taking taylor expansion of 1/3 in N
3.369 * [backup-simplify]: Simplify 1/3 into 1/3
3.369 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.369 * [taylor]: Taking taylor expansion of N in N
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (/ 1 1) into 1
3.369 * [taylor]: Taking taylor expansion of 1.0 in N
3.369 * [backup-simplify]: Simplify 1.0 into 1.0
3.369 * [taylor]: Taking taylor expansion of N in N
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (+ 1 0) into 1
3.370 * [backup-simplify]: Simplify (/ 1 1) into 1
3.370 * [backup-simplify]: Simplify (log 1) into 0
3.370 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.370 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.370 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.370 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.370 * [taylor]: Taking taylor expansion of 1/3 in N
3.370 * [backup-simplify]: Simplify 1/3 into 1/3
3.370 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.371 * [taylor]: Taking taylor expansion of N in N
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [taylor]: Taking taylor expansion of 1.0 in N
3.371 * [backup-simplify]: Simplify 1.0 into 1.0
3.371 * [taylor]: Taking taylor expansion of N in N
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (+ 1 0) into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.372 * [backup-simplify]: Simplify (log 1) into 0
3.372 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.372 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.372 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.372 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.373 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.374 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.379 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.379 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.381 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.381 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.382 * [backup-simplify]: Simplify (+ 0 0) into 0
3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.389 * [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
3.390 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.390 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.394 * [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))
3.394 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.394 * [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)))
3.395 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
3.395 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
3.395 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.395 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.395 * [taylor]: Taking taylor expansion of 1/3 in N
3.395 * [backup-simplify]: Simplify 1/3 into 1/3
3.395 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.395 * [taylor]: Taking taylor expansion of 1.0 in N
3.395 * [backup-simplify]: Simplify 1.0 into 1.0
3.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.395 * [taylor]: Taking taylor expansion of N in N
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.395 * [backup-simplify]: Simplify (/ 1 1) into 1
3.395 * [taylor]: Taking taylor expansion of N in N
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.396 * [backup-simplify]: Simplify (- 1) into -1
3.396 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.396 * [backup-simplify]: Simplify (/ -1 1) into -1
3.396 * [backup-simplify]: Simplify (log -1) into (log -1)
3.397 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.397 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.398 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.398 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.398 * [taylor]: Taking taylor expansion of -1 in N
3.398 * [backup-simplify]: Simplify -1 into -1
3.398 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.398 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.398 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.399 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.399 * [taylor]: Taking taylor expansion of 1/3 in N
3.399 * [backup-simplify]: Simplify 1/3 into 1/3
3.399 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.399 * [taylor]: Taking taylor expansion of 1.0 in N
3.399 * [backup-simplify]: Simplify 1.0 into 1.0
3.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.399 * [taylor]: Taking taylor expansion of N in N
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 1 into 1
3.399 * [backup-simplify]: Simplify (/ 1 1) into 1
3.399 * [taylor]: Taking taylor expansion of N in N
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 1 into 1
3.399 * [backup-simplify]: Simplify (- 1) into -1
3.400 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.400 * [backup-simplify]: Simplify (/ -1 1) into -1
3.400 * [backup-simplify]: Simplify (log -1) into (log -1)
3.401 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.401 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.401 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.401 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.401 * [taylor]: Taking taylor expansion of -1 in N
3.401 * [backup-simplify]: Simplify -1 into -1
3.402 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.402 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.404 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (- 0) into 0
3.406 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.407 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.412 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.413 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.415 * [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))))))
3.416 * [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))))))))
3.417 * [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))))))))
3.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.418 * [backup-simplify]: Simplify (- 0) into 0
3.419 * [backup-simplify]: Simplify (+ 0 0) into 0
3.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.426 * [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
3.426 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.427 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.431 * [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))))))
3.434 * [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))))))))
3.435 * [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))))))))
3.437 * [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))))
3.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
3.438 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.438 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.438 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.438 * [taylor]: Taking taylor expansion of 1/3 in N
3.438 * [backup-simplify]: Simplify 1/3 into 1/3
3.438 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.438 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.438 * [taylor]: Taking taylor expansion of N in N
3.438 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify 1 into 1
3.438 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.438 * [taylor]: Taking taylor expansion of N in N
3.438 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify 1 into 1
3.438 * [taylor]: Taking taylor expansion of 1.0 in N
3.438 * [backup-simplify]: Simplify 1.0 into 1.0
3.438 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.439 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.439 * [backup-simplify]: Simplify (+ 1 0) into 1
3.440 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.440 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.441 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.441 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.441 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.441 * [taylor]: Taking taylor expansion of 1/3 in N
3.441 * [backup-simplify]: Simplify 1/3 into 1/3
3.441 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.441 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.441 * [taylor]: Taking taylor expansion of N in N
3.441 * [backup-simplify]: Simplify 0 into 0
3.441 * [backup-simplify]: Simplify 1 into 1
3.441 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.441 * [taylor]: Taking taylor expansion of N in N
3.441 * [backup-simplify]: Simplify 0 into 0
3.441 * [backup-simplify]: Simplify 1 into 1
3.441 * [taylor]: Taking taylor expansion of 1.0 in N
3.441 * [backup-simplify]: Simplify 1.0 into 1.0
3.442 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.442 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.442 * [backup-simplify]: Simplify (+ 1 0) into 1
3.443 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.443 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.444 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.444 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.445 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.445 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.445 * [backup-simplify]: Simplify (+ 0 0) into 0
3.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.450 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.450 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.452 * [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)))))
3.452 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.459 * [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))
3.460 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.461 * [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))))
3.468 * [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)))))
3.470 * [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)))))
3.473 * [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))))
3.473 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.473 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.473 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.473 * [taylor]: Taking taylor expansion of 1/3 in N
3.473 * [backup-simplify]: Simplify 1/3 into 1/3
3.473 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.473 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.473 * [taylor]: Taking taylor expansion of N in N
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify 1 into 1
3.473 * [backup-simplify]: Simplify (/ 1 1) into 1
3.473 * [taylor]: Taking taylor expansion of 1.0 in N
3.473 * [backup-simplify]: Simplify 1.0 into 1.0
3.473 * [taylor]: Taking taylor expansion of N in N
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify 1 into 1
3.474 * [backup-simplify]: Simplify (+ 1 0) into 1
3.474 * [backup-simplify]: Simplify (/ 1 1) into 1
3.474 * [backup-simplify]: Simplify (log 1) into 0
3.474 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.475 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.475 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.475 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.475 * [taylor]: Taking taylor expansion of 1/3 in N
3.475 * [backup-simplify]: Simplify 1/3 into 1/3
3.475 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.475 * [taylor]: Taking taylor expansion of N in N
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 1 into 1
3.475 * [backup-simplify]: Simplify (/ 1 1) into 1
3.475 * [taylor]: Taking taylor expansion of 1.0 in N
3.475 * [backup-simplify]: Simplify 1.0 into 1.0
3.475 * [taylor]: Taking taylor expansion of N in N
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 1 into 1
3.475 * [backup-simplify]: Simplify (+ 1 0) into 1
3.476 * [backup-simplify]: Simplify (/ 1 1) into 1
3.476 * [backup-simplify]: Simplify (log 1) into 0
3.476 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.476 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.476 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.476 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.478 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.482 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.483 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.484 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.484 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.492 * [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
3.492 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.493 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.496 * [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))
3.496 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.497 * [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)))
3.497 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
3.497 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
3.497 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.497 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.497 * [taylor]: Taking taylor expansion of 1/3 in N
3.497 * [backup-simplify]: Simplify 1/3 into 1/3
3.497 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.497 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.497 * [taylor]: Taking taylor expansion of 1.0 in N
3.497 * [backup-simplify]: Simplify 1.0 into 1.0
3.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.497 * [taylor]: Taking taylor expansion of N in N
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.497 * [backup-simplify]: Simplify (/ 1 1) into 1
3.497 * [taylor]: Taking taylor expansion of N in N
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (- 1) into -1
3.498 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.498 * [backup-simplify]: Simplify (/ -1 1) into -1
3.499 * [backup-simplify]: Simplify (log -1) into (log -1)
3.499 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.499 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.500 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.500 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.500 * [taylor]: Taking taylor expansion of -1 in N
3.500 * [backup-simplify]: Simplify -1 into -1
3.500 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.500 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.500 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.500 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.501 * [taylor]: Taking taylor expansion of 1/3 in N
3.501 * [backup-simplify]: Simplify 1/3 into 1/3
3.501 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.501 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.501 * [taylor]: Taking taylor expansion of 1.0 in N
3.501 * [backup-simplify]: Simplify 1.0 into 1.0
3.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.501 * [taylor]: Taking taylor expansion of N in N
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [backup-simplify]: Simplify (/ 1 1) into 1
3.501 * [taylor]: Taking taylor expansion of N in N
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [backup-simplify]: Simplify (- 1) into -1
3.501 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.502 * [backup-simplify]: Simplify (/ -1 1) into -1
3.502 * [backup-simplify]: Simplify (log -1) into (log -1)
3.502 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.503 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.503 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.503 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.503 * [taylor]: Taking taylor expansion of -1 in N
3.503 * [backup-simplify]: Simplify -1 into -1
3.504 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.504 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.505 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.506 * [backup-simplify]: Simplify (- 0) into 0
3.506 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.508 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.512 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.513 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.515 * [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))))))
3.516 * [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))))))))
3.517 * [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))))))))
3.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.520 * [backup-simplify]: Simplify (- 0) into 0
3.520 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.527 * [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
3.528 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.529 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.533 * [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))))))
3.534 * [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))))))))
3.535 * [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))))))))
3.537 * [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))))
3.537 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
3.538 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
3.538 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
3.538 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.538 * [taylor]: Taking taylor expansion of 1/3 in N
3.538 * [backup-simplify]: Simplify 1/3 into 1/3
3.538 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.538 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.538 * [taylor]: Taking taylor expansion of N in N
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.538 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.538 * [taylor]: Taking taylor expansion of N in N
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.538 * [taylor]: Taking taylor expansion of 1.0 in N
3.538 * [backup-simplify]: Simplify 1.0 into 1.0
3.538 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.538 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.539 * [backup-simplify]: Simplify (+ 1 0) into 1
3.540 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.540 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.540 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.541 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.541 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.541 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
3.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
3.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
3.541 * [taylor]: Taking taylor expansion of 1/3 in N
3.541 * [backup-simplify]: Simplify 1/3 into 1/3
3.541 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
3.541 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
3.541 * [taylor]: Taking taylor expansion of N in N
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
3.541 * [taylor]: Taking taylor expansion of N in N
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [taylor]: Taking taylor expansion of 1.0 in N
3.541 * [backup-simplify]: Simplify 1.0 into 1.0
3.541 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.542 * [backup-simplify]: Simplify (* 0 1.0) into 0
3.542 * [backup-simplify]: Simplify (+ 1 0) into 1
3.543 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
3.543 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
3.544 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.544 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
3.544 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.545 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
3.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
3.549 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.550 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
3.551 * [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)))))
3.552 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
3.552 * [backup-simplify]: Simplify (+ 0 0) into 0
3.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
3.559 * [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))
3.559 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
3.561 * [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))))
3.568 * [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)))))
3.571 * [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)))))
3.573 * [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))))
3.574 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
3.574 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
3.574 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.574 * [taylor]: Taking taylor expansion of 1/3 in N
3.574 * [backup-simplify]: Simplify 1/3 into 1/3
3.574 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.574 * [taylor]: Taking taylor expansion of N in N
3.574 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify 1 into 1
3.574 * [backup-simplify]: Simplify (/ 1 1) into 1
3.574 * [taylor]: Taking taylor expansion of 1.0 in N
3.574 * [backup-simplify]: Simplify 1.0 into 1.0
3.574 * [taylor]: Taking taylor expansion of N in N
3.574 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify 1 into 1
3.574 * [backup-simplify]: Simplify (+ 1 0) into 1
3.575 * [backup-simplify]: Simplify (/ 1 1) into 1
3.575 * [backup-simplify]: Simplify (log 1) into 0
3.575 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.575 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.575 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.575 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
3.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
3.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
3.575 * [taylor]: Taking taylor expansion of 1/3 in N
3.575 * [backup-simplify]: Simplify 1/3 into 1/3
3.575 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
3.576 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
3.576 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
3.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.576 * [taylor]: Taking taylor expansion of N in N
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [backup-simplify]: Simplify (/ 1 1) into 1
3.576 * [taylor]: Taking taylor expansion of 1.0 in N
3.576 * [backup-simplify]: Simplify 1.0 into 1.0
3.576 * [taylor]: Taking taylor expansion of N in N
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [backup-simplify]: Simplify (+ 1 0) into 1
3.576 * [backup-simplify]: Simplify (/ 1 1) into 1
3.577 * [backup-simplify]: Simplify (log 1) into 0
3.577 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.577 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
3.577 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
3.577 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.579 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
3.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
3.583 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.584 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
3.585 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.585 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.593 * [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
3.593 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
3.594 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
3.597 * [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))
3.597 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
3.598 * [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)))
3.598 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
3.598 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
3.598 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.598 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) 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 (/ (- 1.0 (/ 1 N)) N)) in N
3.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.598 * [taylor]: Taking taylor expansion of 1.0 in N
3.598 * [backup-simplify]: Simplify 1.0 into 1.0
3.598 * [taylor]: Taking taylor expansion of (/ 1 N) 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
3.599 * [backup-simplify]: Simplify (/ 1 1) into 1
3.599 * [taylor]: Taking taylor expansion of N in N
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 1 into 1
3.599 * [backup-simplify]: Simplify (- 1) into -1
3.599 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.600 * [backup-simplify]: Simplify (/ -1 1) into -1
3.600 * [backup-simplify]: Simplify (log -1) into (log -1)
3.600 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.601 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.601 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.601 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.601 * [taylor]: Taking taylor expansion of -1 in N
3.601 * [backup-simplify]: Simplify -1 into -1
3.601 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.602 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.602 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
3.602 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
3.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
3.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
3.602 * [taylor]: Taking taylor expansion of 1/3 in N
3.602 * [backup-simplify]: Simplify 1/3 into 1/3
3.602 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
3.602 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
3.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
3.602 * [taylor]: Taking taylor expansion of 1.0 in N
3.602 * [backup-simplify]: Simplify 1.0 into 1.0
3.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N
3.602 * [taylor]: Taking taylor expansion of N in N
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 1 into 1
3.602 * [backup-simplify]: Simplify (/ 1 1) into 1
3.602 * [taylor]: Taking taylor expansion of N in N
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify (- 1) into -1
3.603 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.603 * [backup-simplify]: Simplify (/ -1 1) into -1
3.605 * [backup-simplify]: Simplify (log -1) into (log -1)
3.605 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.606 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
3.606 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
3.606 * [taylor]: Taking taylor expansion of (cbrt -1) in N
3.606 * [taylor]: Taking taylor expansion of -1 in N
3.606 * [backup-simplify]: Simplify -1 into -1
3.606 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.607 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.608 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.608 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.609 * [backup-simplify]: Simplify (- 0) into 0
3.609 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.611 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
3.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
3.615 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.616 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
3.618 * [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))))))
3.619 * [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))))))))
3.620 * [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))))))))
3.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.621 * [backup-simplify]: Simplify (- 0) into 0
3.622 * [backup-simplify]: Simplify (+ 0 0) into 0
3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
3.629 * [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
3.629 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
3.630 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
3.634 * [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))))))
3.636 * [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))))))))
3.636 * [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))))))))
3.639 * [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))))
3.639 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.639 * [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)))
3.639 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
3.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.640 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.640 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.640 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.641 * [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)))
3.641 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
3.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.641 * [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)))
3.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.641 * [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)))
3.641 * [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)))
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 0 into 0
3.642 * [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)))
3.642 * [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))))
3.642 * [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
3.642 * [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
3.644 * [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))))
3.644 * [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
3.645 * [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))))
3.646 * [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))))
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [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)))
3.646 * * * [progress]: simplifying candidates
3.647 * [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)))
3.648 * * [simplify]: iteration 0: 95 enodes
3.668 * * [simplify]: iteration 1: 210 enodes
3.724 * * [simplify]: iteration 2: 531 enodes
3.899 * * [simplify]: iteration 3: 1602 enodes
4.297 * * [simplify]: iteration complete: 5000 enodes
4.297 * * [simplify]: Extracting #0: cost 22 inf + 0
4.297 * * [simplify]: Extracting #1: cost 86 inf + 0
4.299 * * [simplify]: Extracting #2: cost 795 inf + 271
4.310 * * [simplify]: Extracting #3: cost 1520 inf + 12801
4.329 * * [simplify]: Extracting #4: cost 1153 inf + 116219
4.368 * * [simplify]: Extracting #5: cost 545 inf + 313574
4.430 * * [simplify]: Extracting #6: cost 205 inf + 455004
4.497 * * [simplify]: Extracting #7: cost 125 inf + 471433
4.570 * * [simplify]: Extracting #8: cost 28 inf + 531463
4.647 * * [simplify]: Extracting #9: cost 0 inf + 553579
4.722 * [simplify]: Simplified to:
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* (* 1.0 1.0) 1.0) (* N (* N N))) N))
  (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))
  (cbrt (* (* (+ 1.0 N) (- N 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* (* 1.0 1.0) 1.0) (* N (* N N))) N))
  (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))
  (cbrt (* (* (+ 1.0 N) (- N 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* (* 1.0 1.0) 1.0) (* N (* N N))) N))
  (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))
  (cbrt (* (* (+ 1.0 N) (- N 1.0)) N))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (log (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)))))
  (- (* (cbrt (* N 1.0)) (* N (+ 0.3333333333333333 (* N 0.05555555555555555)))) (- (/ (/ (* (cbrt (* N 1.0)) 1/6) (/ 1.0 N)) (/ 1.0 N)) (cbrt (* N 1.0))))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))))
  (+ (* (/ (cbrt -1) (/ N (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3)))))
  (- (* (cbrt (* N 1.0)) (* N (+ 0.3333333333333333 (* N 0.05555555555555555)))) (- (/ (/ (* (cbrt (* N 1.0)) 1/6) (/ 1.0 N)) (/ 1.0 N)) (cbrt (* N 1.0))))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))))
  (+ (* (/ (cbrt -1) (/ N (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3)))))
  (- (* (cbrt (* N 1.0)) (* N (+ 0.3333333333333333 (* N 0.05555555555555555)))) (- (/ (/ (* (cbrt (* N 1.0)) 1/6) (/ 1.0 N)) (/ 1.0 N)) (cbrt (* N 1.0))))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))))
  (+ (* (/ (cbrt -1) (/ N (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3)))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
4.728 * * * [progress]: adding candidates to table
4.970 * * [progress]: iteration 4 / 4
4.970 * * * [progress]: picking best candidate
4.992 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))>
4.992 * * * [progress]: localizing error
5.028 * * * [progress]: generating rewritten candidates
5.028 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
5.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
5.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.040 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2)
5.041 * * * [progress]: generating series expansions
5.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
5.042 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
5.042 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
5.042 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
5.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
5.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
5.042 * [taylor]: Taking taylor expansion of 1/3 in N
5.042 * [backup-simplify]: Simplify 1/3 into 1/3
5.042 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
5.042 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
5.042 * [taylor]: Taking taylor expansion of N in N
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of 1.0 in N
5.042 * [backup-simplify]: Simplify 1.0 into 1.0
5.042 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.043 * [backup-simplify]: Simplify (* 0 1.0) into 0
5.043 * [backup-simplify]: Simplify (+ 1 0) into 1
5.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
5.044 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
5.045 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.045 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
5.045 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
5.045 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
5.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
5.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
5.045 * [taylor]: Taking taylor expansion of 1/3 in N
5.045 * [backup-simplify]: Simplify 1/3 into 1/3
5.045 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
5.045 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
5.045 * [taylor]: Taking taylor expansion of N in N
5.045 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 1 into 1
5.046 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
5.046 * [taylor]: Taking taylor expansion of N in N
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 1 into 1
5.046 * [taylor]: Taking taylor expansion of 1.0 in N
5.046 * [backup-simplify]: Simplify 1.0 into 1.0
5.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.046 * [backup-simplify]: Simplify (* 0 1.0) into 0
5.046 * [backup-simplify]: Simplify (+ 1 0) into 1
5.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
5.048 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
5.048 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.048 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
5.049 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
5.049 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
5.049 * [backup-simplify]: Simplify (+ 0 0) into 0
5.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
5.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
5.054 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.054 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
5.056 * [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)))))
5.056 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
5.057 * [backup-simplify]: Simplify (+ 0 0) into 0
5.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
5.063 * [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))
5.064 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.065 * [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))))
5.072 * [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)))))
5.074 * [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)))))
5.076 * [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))))
5.077 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
5.077 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
5.077 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
5.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
5.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
5.077 * [taylor]: Taking taylor expansion of 1/3 in N
5.077 * [backup-simplify]: Simplify 1/3 into 1/3
5.077 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
5.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
5.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
5.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.077 * [taylor]: Taking taylor expansion of N in N
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 1 into 1
5.077 * [backup-simplify]: Simplify (/ 1 1) into 1
5.077 * [taylor]: Taking taylor expansion of 1.0 in N
5.077 * [backup-simplify]: Simplify 1.0 into 1.0
5.077 * [taylor]: Taking taylor expansion of N in N
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 1 into 1
5.081 * [backup-simplify]: Simplify (+ 1 0) into 1
5.081 * [backup-simplify]: Simplify (/ 1 1) into 1
5.082 * [backup-simplify]: Simplify (log 1) into 0
5.082 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.082 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.082 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.082 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
5.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
5.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
5.082 * [taylor]: Taking taylor expansion of 1/3 in N
5.082 * [backup-simplify]: Simplify 1/3 into 1/3
5.082 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
5.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
5.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
5.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.082 * [taylor]: Taking taylor expansion of N in N
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify 1 into 1
5.083 * [backup-simplify]: Simplify (/ 1 1) into 1
5.083 * [taylor]: Taking taylor expansion of 1.0 in N
5.083 * [backup-simplify]: Simplify 1.0 into 1.0
5.083 * [taylor]: Taking taylor expansion of N in N
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify 1 into 1
5.083 * [backup-simplify]: Simplify (+ 1 0) into 1
5.083 * [backup-simplify]: Simplify (/ 1 1) into 1
5.083 * [backup-simplify]: Simplify (log 1) into 0
5.084 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.084 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.084 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.084 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.086 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
5.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
5.090 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.090 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
5.092 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
5.092 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
5.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.093 * [backup-simplify]: Simplify (+ 0 0) into 0
5.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
5.100 * [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
5.100 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.100 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
5.104 * [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))
5.104 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
5.104 * [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)))
5.105 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
5.105 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
5.105 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
5.105 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
5.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
5.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
5.105 * [taylor]: Taking taylor expansion of 1/3 in N
5.105 * [backup-simplify]: Simplify 1/3 into 1/3
5.105 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
5.105 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
5.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
5.105 * [taylor]: Taking taylor expansion of 1.0 in N
5.105 * [backup-simplify]: Simplify 1.0 into 1.0
5.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.105 * [taylor]: Taking taylor expansion of N in N
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 1 into 1
5.105 * [backup-simplify]: Simplify (/ 1 1) into 1
5.105 * [taylor]: Taking taylor expansion of N in N
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 1 into 1
5.105 * [backup-simplify]: Simplify (- 1) into -1
5.106 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.106 * [backup-simplify]: Simplify (/ -1 1) into -1
5.106 * [backup-simplify]: Simplify (log -1) into (log -1)
5.107 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.107 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
5.107 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
5.107 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.107 * [taylor]: Taking taylor expansion of -1 in N
5.107 * [backup-simplify]: Simplify -1 into -1
5.108 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.108 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.108 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
5.108 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
5.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
5.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
5.108 * [taylor]: Taking taylor expansion of 1/3 in N
5.108 * [backup-simplify]: Simplify 1/3 into 1/3
5.108 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
5.108 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
5.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
5.108 * [taylor]: Taking taylor expansion of 1.0 in N
5.108 * [backup-simplify]: Simplify 1.0 into 1.0
5.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.108 * [taylor]: Taking taylor expansion of N in N
5.108 * [backup-simplify]: Simplify 0 into 0
5.109 * [backup-simplify]: Simplify 1 into 1
5.109 * [backup-simplify]: Simplify (/ 1 1) into 1
5.109 * [taylor]: Taking taylor expansion of N in N
5.109 * [backup-simplify]: Simplify 0 into 0
5.109 * [backup-simplify]: Simplify 1 into 1
5.109 * [backup-simplify]: Simplify (- 1) into -1
5.109 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.110 * [backup-simplify]: Simplify (/ -1 1) into -1
5.110 * [backup-simplify]: Simplify (log -1) into (log -1)
5.110 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.111 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
5.111 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
5.111 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.111 * [taylor]: Taking taylor expansion of -1 in N
5.111 * [backup-simplify]: Simplify -1 into -1
5.111 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.112 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
5.113 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
5.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.114 * [backup-simplify]: Simplify (- 0) into 0
5.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
5.115 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
5.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
5.120 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.121 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
5.123 * [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))))))
5.124 * [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))))))))
5.125 * [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))))))))
5.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.127 * [backup-simplify]: Simplify (- 0) into 0
5.127 * [backup-simplify]: Simplify (+ 0 0) into 0
5.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
5.134 * [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
5.135 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.135 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
5.139 * [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))))))
5.141 * [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))))))))
5.142 * [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))))))))
5.144 * [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))))
5.144 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
5.144 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3)
5.144 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0
5.144 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
5.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
5.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
5.144 * [taylor]: Taking taylor expansion of 1/3 in N
5.144 * [backup-simplify]: Simplify 1/3 into 1/3
5.144 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
5.144 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
5.144 * [taylor]: Taking taylor expansion of N in N
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify 1 into 1
5.144 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
5.144 * [taylor]: Taking taylor expansion of N in N
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify 1 into 1
5.144 * [taylor]: Taking taylor expansion of 1.0 in N
5.144 * [backup-simplify]: Simplify 1.0 into 1.0
5.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.145 * [backup-simplify]: Simplify (* 0 1.0) into 0
5.145 * [backup-simplify]: Simplify (+ 1 0) into 1
5.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
5.146 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
5.147 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.147 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
5.148 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
5.148 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N
5.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N
5.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N
5.148 * [taylor]: Taking taylor expansion of 1/3 in N
5.148 * [backup-simplify]: Simplify 1/3 into 1/3
5.148 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N
5.148 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
5.148 * [taylor]: Taking taylor expansion of N in N
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 1 into 1
5.148 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
5.148 * [taylor]: Taking taylor expansion of N in N
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 1 into 1
5.148 * [taylor]: Taking taylor expansion of 1.0 in N
5.148 * [backup-simplify]: Simplify 1.0 into 1.0
5.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.148 * [backup-simplify]: Simplify (* 0 1.0) into 0
5.149 * [backup-simplify]: Simplify (+ 1 0) into 1
5.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
5.150 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
5.150 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.151 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N)))
5.151 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
5.151 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N))))
5.152 * [backup-simplify]: Simplify (+ 0 0) into 0
5.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
5.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
5.156 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.156 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333
5.158 * [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)))))
5.158 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N)))))
5.159 * [backup-simplify]: Simplify (+ 0 0) into 0
5.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
5.169 * [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))
5.170 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N))
5.171 * [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))))
5.178 * [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)))))
5.180 * [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)))))
5.183 * [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))))
5.183 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3)
5.183 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0
5.183 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
5.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
5.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
5.183 * [taylor]: Taking taylor expansion of 1/3 in N
5.183 * [backup-simplify]: Simplify 1/3 into 1/3
5.183 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
5.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
5.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
5.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.183 * [taylor]: Taking taylor expansion of N in N
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify 1 into 1
5.183 * [backup-simplify]: Simplify (/ 1 1) into 1
5.183 * [taylor]: Taking taylor expansion of 1.0 in N
5.183 * [backup-simplify]: Simplify 1.0 into 1.0
5.183 * [taylor]: Taking taylor expansion of N in N
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify 1 into 1
5.184 * [backup-simplify]: Simplify (+ 1 0) into 1
5.184 * [backup-simplify]: Simplify (/ 1 1) into 1
5.184 * [backup-simplify]: Simplify (log 1) into 0
5.184 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.184 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.184 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.185 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N
5.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N
5.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N
5.185 * [taylor]: Taking taylor expansion of 1/3 in N
5.185 * [backup-simplify]: Simplify 1/3 into 1/3
5.185 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N
5.185 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
5.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.185 * [taylor]: Taking taylor expansion of N in N
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.185 * [backup-simplify]: Simplify (/ 1 1) into 1
5.185 * [taylor]: Taking taylor expansion of 1.0 in N
5.185 * [backup-simplify]: Simplify 1.0 into 1.0
5.185 * [taylor]: Taking taylor expansion of N in N
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.185 * [backup-simplify]: Simplify (+ 1 0) into 1
5.186 * [backup-simplify]: Simplify (/ 1 1) into 1
5.186 * [backup-simplify]: Simplify (log 1) into 0
5.186 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.186 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.186 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.186 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.188 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
5.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
5.192 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.193 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333
5.194 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
5.194 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))
5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.195 * [backup-simplify]: Simplify (+ 0 0) into 0
5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
5.203 * [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
5.203 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.204 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666)
5.207 * [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))
5.207 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))
5.208 * [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)))
5.208 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1))
5.208 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
5.208 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
5.208 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
5.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
5.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
5.208 * [taylor]: Taking taylor expansion of 1/3 in N
5.208 * [backup-simplify]: Simplify 1/3 into 1/3
5.208 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
5.208 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
5.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
5.208 * [taylor]: Taking taylor expansion of 1.0 in N
5.208 * [backup-simplify]: Simplify 1.0 into 1.0
5.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.208 * [taylor]: Taking taylor expansion of N in N
5.208 * [backup-simplify]: Simplify 0 into 0
5.208 * [backup-simplify]: Simplify 1 into 1
5.208 * [backup-simplify]: Simplify (/ 1 1) into 1
5.208 * [taylor]: Taking taylor expansion of N in N
5.208 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify 1 into 1
5.209 * [backup-simplify]: Simplify (- 1) into -1
5.209 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.209 * [backup-simplify]: Simplify (/ -1 1) into -1
5.210 * [backup-simplify]: Simplify (log -1) into (log -1)
5.210 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.210 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
5.211 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
5.211 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.211 * [taylor]: Taking taylor expansion of -1 in N
5.211 * [backup-simplify]: Simplify -1 into -1
5.211 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.212 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.212 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N
5.212 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N
5.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N
5.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N
5.212 * [taylor]: Taking taylor expansion of 1/3 in N
5.212 * [backup-simplify]: Simplify 1/3 into 1/3
5.212 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N
5.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
5.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
5.212 * [taylor]: Taking taylor expansion of 1.0 in N
5.212 * [backup-simplify]: Simplify 1.0 into 1.0
5.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.212 * [taylor]: Taking taylor expansion of N in N
5.212 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify 1 into 1
5.212 * [backup-simplify]: Simplify (/ 1 1) into 1
5.212 * [taylor]: Taking taylor expansion of N in N
5.212 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify 1 into 1
5.212 * [backup-simplify]: Simplify (- 1) into -1
5.213 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.213 * [backup-simplify]: Simplify (/ -1 1) into -1
5.213 * [backup-simplify]: Simplify (log -1) into (log -1)
5.214 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.214 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
5.214 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
5.214 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.214 * [taylor]: Taking taylor expansion of -1 in N
5.214 * [backup-simplify]: Simplify -1 into -1
5.215 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.215 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.216 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
5.216 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
5.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.217 * [backup-simplify]: Simplify (- 0) into 0
5.217 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
5.219 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
5.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
5.223 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.224 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333)
5.226 * [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))))))
5.227 * [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))))))))
5.228 * [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))))))))
5.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.229 * [backup-simplify]: Simplify (- 0) into 0
5.230 * [backup-simplify]: Simplify (+ 0 0) into 0
5.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
5.237 * [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
5.237 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
5.238 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666)
5.242 * [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))))))
5.243 * [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))))))))
5.244 * [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))))))))
5.247 * [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))))
5.247 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.247 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
5.247 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
5.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
5.247 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
5.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
5.247 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
5.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
5.248 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 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)))
5.248 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
5.248 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
5.248 * [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)))
5.248 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
5.249 * [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)))
5.249 * [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)))
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [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)))
5.250 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 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))))
5.250 * [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
5.250 * [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
5.251 * [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))))
5.251 * [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
5.253 * [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))))
5.253 * [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))))
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.254 * [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)))
5.254 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2)
5.254 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3)
5.254 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0
5.254 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.254 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.254 * [taylor]: Taking taylor expansion of 1/3 in N
5.254 * [backup-simplify]: Simplify 1/3 into 1/3
5.254 * [taylor]: Taking taylor expansion of (log N) in N
5.254 * [taylor]: Taking taylor expansion of N in N
5.254 * [backup-simplify]: Simplify 0 into 0
5.254 * [backup-simplify]: Simplify 1 into 1
5.257 * [backup-simplify]: Simplify (log 1) into 0
5.258 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.258 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.258 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.258 * [taylor]: Taking taylor expansion of (pow N 1/3) in N
5.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N
5.258 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N
5.258 * [taylor]: Taking taylor expansion of 1/3 in N
5.258 * [backup-simplify]: Simplify 1/3 into 1/3
5.258 * [taylor]: Taking taylor expansion of (log N) in N
5.258 * [taylor]: Taking taylor expansion of N in N
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.259 * [backup-simplify]: Simplify (log 1) into 0
5.259 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.259 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
5.259 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
5.259 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
5.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.260 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0
5.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.261 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.263 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0
5.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.264 * [backup-simplify]: Simplify 0 into 0
5.267 * [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
5.268 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.268 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0
5.269 * [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
5.269 * [backup-simplify]: Simplify 0 into 0
5.276 * [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
5.276 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0
5.279 * [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
5.280 * [backup-simplify]: Simplify 0 into 0
5.289 * [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
5.289 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0
5.293 * [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
5.293 * [backup-simplify]: Simplify 0 into 0
5.311 * [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
5.311 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
5.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0
5.316 * [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
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
5.316 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3)
5.316 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0
5.316 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.316 * [taylor]: Taking taylor expansion of 1/3 in N
5.316 * [backup-simplify]: Simplify 1/3 into 1/3
5.316 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.316 * [taylor]: Taking taylor expansion of N in N
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify 1 into 1
5.317 * [backup-simplify]: Simplify (/ 1 1) into 1
5.317 * [backup-simplify]: Simplify (log 1) into 0
5.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.317 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.317 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.317 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.317 * [taylor]: Taking taylor expansion of 1/3 in N
5.317 * [backup-simplify]: Simplify 1/3 into 1/3
5.317 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.317 * [taylor]: Taking taylor expansion of N in N
5.317 * [backup-simplify]: Simplify 0 into 0
5.317 * [backup-simplify]: Simplify 1 into 1
5.318 * [backup-simplify]: Simplify (/ 1 1) into 1
5.318 * [backup-simplify]: Simplify (log 1) into 0
5.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.318 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.318 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.318 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3)
5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
5.321 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.321 * [backup-simplify]: Simplify 0 into 0
5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
5.325 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.328 * [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
5.329 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
5.331 * [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
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.337 * [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
5.337 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
5.340 * [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
5.340 * [backup-simplify]: Simplify 0 into 0
5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.355 * [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
5.356 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
5.359 * [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
5.359 * [backup-simplify]: Simplify 0 into 0
5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.377 * [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
5.378 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
5.383 * [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
5.383 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3)
5.383 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1))
5.383 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0
5.383 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
5.383 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.383 * [taylor]: Taking taylor expansion of 1/3 in N
5.383 * [backup-simplify]: Simplify 1/3 into 1/3
5.383 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.383 * [taylor]: Taking taylor expansion of N in N
5.383 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify 1 into 1
5.383 * [backup-simplify]: Simplify (/ 1 1) into 1
5.384 * [backup-simplify]: Simplify (log 1) into 0
5.384 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.384 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.384 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.384 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.384 * [taylor]: Taking taylor expansion of -1 in N
5.384 * [backup-simplify]: Simplify -1 into -1
5.384 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.385 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.385 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N
5.385 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N
5.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N
5.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N
5.385 * [taylor]: Taking taylor expansion of 1/3 in N
5.385 * [backup-simplify]: Simplify 1/3 into 1/3
5.385 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
5.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.385 * [taylor]: Taking taylor expansion of N in N
5.385 * [backup-simplify]: Simplify 0 into 0
5.385 * [backup-simplify]: Simplify 1 into 1
5.385 * [backup-simplify]: Simplify (/ 1 1) into 1
5.386 * [backup-simplify]: Simplify (log 1) into 0
5.386 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.386 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
5.386 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
5.386 * [taylor]: Taking taylor expansion of (cbrt -1) in N
5.386 * [taylor]: Taking taylor expansion of -1 in N
5.386 * [backup-simplify]: Simplify -1 into -1
5.386 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
5.387 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
5.388 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
5.388 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1))
5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.390 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0
5.390 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.391 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0
5.391 * [backup-simplify]: Simplify 0 into 0
5.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.394 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.394 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0
5.396 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.396 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
5.396 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.400 * [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
5.401 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0
5.402 * [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
5.403 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
5.403 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.411 * [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
5.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0
5.414 * [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
5.415 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0
5.415 * [backup-simplify]: Simplify 0 into 0
5.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.425 * [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
5.426 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0
5.429 * [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
5.430 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0
5.430 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.453 * [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
5.454 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
5.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0
5.459 * [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
5.460 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0
5.460 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1))
5.460 * * * [progress]: simplifying candidates
5.461 * [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)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (exp (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (* (* (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) 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))
5.462 * * [simplify]: iteration 0: 115 enodes
5.486 * * [simplify]: iteration 1: 250 enodes
5.555 * * [simplify]: iteration 2: 628 enodes
5.756 * * [simplify]: iteration 3: 1844 enodes
6.167 * * [simplify]: iteration complete: 5005 enodes
6.168 * * [simplify]: Extracting #0: cost 33 inf + 0
6.168 * * [simplify]: Extracting #1: cost 136 inf + 2
6.170 * * [simplify]: Extracting #2: cost 874 inf + 1720
6.176 * * [simplify]: Extracting #3: cost 1473 inf + 20856
6.195 * * [simplify]: Extracting #4: cost 1093 inf + 146703
6.241 * * [simplify]: Extracting #5: cost 558 inf + 332836
6.303 * * [simplify]: Extracting #6: cost 232 inf + 473871
6.374 * * [simplify]: Extracting #7: cost 98 inf + 538328
6.451 * * [simplify]: Extracting #8: cost 9 inf + 592546
6.531 * * [simplify]: Extracting #9: cost 0 inf + 599546
6.610 * [simplify]: Simplified to:
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* (* 1.0 1.0) 1.0) (* N (* N N))) N))
  (cbrt (+ (* N N) (* (- 1.0 N) 1.0)))
  (cbrt (* (* N (+ 1.0 N)) (- N 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (log (cbrt (* N (+ 1.0 N))))
  (exp (cbrt (* N (+ 1.0 N))))
  (cbrt (+ 1.0 N))
  (cbrt N)
  (cbrt (* (+ (* (* 1.0 1.0) 1.0) (* N (* N N))) N))
  (cbrt (+ (* N N) (* (- 1.0 N) 1.0)))
  (cbrt (* (* N (+ 1.0 N)) (- N 1.0)))
  (cbrt (- N 1.0))
  (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))
  (cbrt (cbrt (* N (+ 1.0 N))))
  (* N (+ 1.0 N))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (sqrt (cbrt (* N (+ 1.0 N))))
  (log (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))))
  (exp (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))))
  (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N))))))))
  (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))))
  (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N))))))) (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))))
  (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt N) (cbrt (+ 1.0 N)))))))
  (* (log N) 1/3)
  (exp (cbrt N))
  (cbrt (* (cbrt N) (cbrt N)))
  (cbrt (cbrt N))
  (cbrt (sqrt N))
  (cbrt (sqrt N))
  1
  (cbrt N)
  (* (cbrt (cbrt N)) (cbrt (cbrt N)))
  (cbrt (cbrt N))
  N
  (sqrt (cbrt N))
  (sqrt (cbrt N))
  (+ (+ (/ -1/6 (/ (* (/ 1.0 N) (/ 1.0 N)) (* (cbrt N) (cbrt 1.0)))) (* (* (cbrt N) (cbrt 1.0)) (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* (cbrt N) (cbrt 1.0)))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* (cbrt (/ 1 (* (* N N) (* N N)))) 0.1111111111111111)))
  (+ (* (* (/ (cbrt -1) N) (exp (+ (* 1/3 (log -1)) (* (log (/ -1 N)) -2/3)))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (exp (+ (* 1/3 (log -1)) (* (log (/ -1 N)) -2/3)))))
  (+ (+ (/ -1/6 (/ (* (/ 1.0 N) (/ 1.0 N)) (* (cbrt N) (cbrt 1.0)))) (* (* (cbrt N) (cbrt 1.0)) (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* (cbrt N) (cbrt 1.0)))
  (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* (cbrt (/ 1 (* (* N N) (* N N)))) 0.1111111111111111)))
  (+ (* (* (/ (cbrt -1) N) (exp (+ (* 1/3 (log -1)) (* (log (/ -1 N)) -2/3)))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (exp (+ (* 1/3 (log -1)) (* (log (/ -1 N)) -2/3)))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (cbrt N)
  (pow (/ 1 N) -1/3)
  (* (cbrt (- N)) (cbrt -1))
6.615 * * * [progress]: adding candidates to table
6.870 * [progress]: [Phase 3 of 3] Extracting.
6.870 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ 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 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (/ (cbrt (* (* (+ 1.0 N) (- N 1.0)) N)) (cbrt (- N 1.0)))))))>)
6.871 * * * [regime-changes]: Trying 1 branch expressions: (N)
6.871 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ 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 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))))) (cbrt (* (+ N 1.0) N))))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (/ (cbrt (* (* (+ 1.0 N) (- N 1.0)) N)) (cbrt (- N 1.0)))))))>)
6.913 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
6.913 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
6.913 * * [simplify]: iteration 0: 7 enodes
6.914 * * [simplify]: iteration 1: 12 enodes
6.914 * * [simplify]: iteration complete: 12 enodes
6.914 * * [simplify]: Extracting #0: cost 1 inf + 0
6.914 * * [simplify]: Extracting #1: cost 3 inf + 0
6.914 * * [simplify]: Extracting #2: cost 4 inf + 1
6.914 * * [simplify]: Extracting #3: cost 5 inf + 2
6.914 * * [simplify]: Extracting #4: cost 0 inf + 513
6.914 * [simplify]: Simplified to:
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
8.873 * [regime-testing]: Baseline error score: 0.40939214571981764
8.881 * [regime-testing]: Oracle error score: 0.3783882702353821
8.898 * [regime-testing]: End program error score: 0.40939214571981764
8.963 * [regime-testing]: Target error score: 0.41091357652384847