18.289 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.047 * * * [progress]: [2/2] Setting up program.
0.052 * [progress]: [Phase 2 of 3] Improving.
0.052 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.053 * * [simplify]: iteration 0: 6 enodes
0.054 * * [simplify]: iteration 1: 9 enodes
0.056 * * [simplify]: iteration 2: 10 enodes
0.058 * * [simplify]: iteration complete: 10 enodes
0.058 * * [simplify]: Extracting #0: cost 1 inf + 0
0.058 * * [simplify]: Extracting #1: cost 4 inf + 0
0.058 * * [simplify]: Extracting #2: cost 6 inf + 0
0.058 * * [simplify]: Extracting #3: cost 6 inf + 1
0.058 * * [simplify]: Extracting #4: cost 0 inf + 21
0.058 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.064 * * [progress]: iteration 1 / 4
0.064 * * * [progress]: picking best candidate
0.069 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.069 * * * [progress]: localizing error
0.084 * * * [progress]: generating rewritten candidates
0.084 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.090 * * * [progress]: generating series expansions
0.090 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.091 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.091 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.091 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.091 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.091 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.091 * [taylor]: Taking taylor expansion of (atan N) in N
0.091 * [backup-simplify]: Simplify (atan N) into (atan N)
0.091 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.091 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.091 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.091 * [taylor]: Taking taylor expansion of (atan N) in N
0.091 * [backup-simplify]: Simplify (atan N) into (atan N)
0.091 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.091 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.091 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (- 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify (- 0) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.094 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (- 0) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.095 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.095 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.095 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.095 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.095 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.095 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.095 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.095 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.095 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.095 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.095 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.095 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.095 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.096 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.096 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify (- 0) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.099 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.099 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.099 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.099 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.099 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.099 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.099 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.099 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.099 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.099 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.100 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.100 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.100 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.100 * [backup-simplify]: Simplify (- 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.103 * * * [progress]: simplifying candidates
0.103 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.104 * * [simplify]: iteration 0: 36 enodes
0.121 * * [simplify]: iteration 1: 73 enodes
0.137 * * [simplify]: iteration 2: 149 enodes
0.175 * * [simplify]: iteration 3: 326 enodes
0.280 * * [simplify]: iteration 4: 966 enodes
0.878 * * [simplify]: iteration 5: 3570 enodes
1.947 * * [simplify]: iteration complete: 5001 enodes
1.947 * * [simplify]: Extracting #0: cost 16 inf + 0
1.947 * * [simplify]: Extracting #1: cost 156 inf + 1
1.949 * * [simplify]: Extracting #2: cost 866 inf + 3
1.956 * * [simplify]: Extracting #3: cost 1128 inf + 346
1.962 * * [simplify]: Extracting #4: cost 989 inf + 3557
1.967 * * [simplify]: Extracting #5: cost 319 inf + 21455
1.972 * * [simplify]: Extracting #6: cost 44 inf + 25722
1.977 * * [simplify]: Extracting #7: cost 0 inf + 26111
1.981 * [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)))
  (pow (- (atan (+ 1.0 N)) (atan N)) 3)
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3))
  (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N)))))
  (- (atan N))
  (* (- (atan (+ 1.0 N)) (atan N)) (+ (atan N) (atan (+ 1.0 N))))
  (+ (atan N) (atan (+ 1.0 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N))))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
1.981 * * * [progress]: adding candidates to table
2.032 * * [progress]: iteration 2 / 4
2.032 * * * [progress]: picking best candidate
2.035 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))>
2.035 * * * [progress]: localizing error
2.043 * * * [progress]: generating rewritten candidates
2.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.044 * * * [progress]: generating series expansions
2.044 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.044 * [backup-simplify]: Simplify (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.044 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
2.044 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.044 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.044 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
2.044 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.044 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.045 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 N) (+ 1.0 (/ 1 N))) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
2.045 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
2.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.045 * [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)))
2.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
2.045 * [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)))
2.045 * [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)))
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [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)))
2.046 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 (- N)) (+ 1.0 (/ 1 (- N)))) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
2.046 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
2.046 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.046 * [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))))
2.046 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
2.046 * [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))))
2.047 * [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))))
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [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)))
2.047 * * * [progress]: simplifying candidates
2.047 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (exp (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))))
  (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (* (* (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
2.048 * * [simplify]: iteration 0: 20 enodes
2.051 * * [simplify]: iteration 1: 38 enodes
2.058 * * [simplify]: iteration 2: 90 enodes
2.079 * * [simplify]: iteration 3: 251 enodes
2.131 * * [simplify]: iteration 4: 760 enodes
2.798 * * [simplify]: iteration 5: 2310 enodes
3.233 * * [simplify]: iteration complete: 5001 enodes
3.233 * * [simplify]: Extracting #0: cost 7 inf + 0
3.234 * * [simplify]: Extracting #1: cost 20 inf + 0
3.234 * * [simplify]: Extracting #2: cost 280 inf + 2
3.238 * * [simplify]: Extracting #3: cost 2257 inf + 15
3.246 * * [simplify]: Extracting #4: cost 1389 inf + 2673
3.254 * * [simplify]: Extracting #5: cost 53 inf + 6894
3.268 * * [simplify]: Extracting #6: cost 3 inf + 7372
3.274 * * [simplify]: Extracting #7: cost 0 inf + 7411
3.279 * [simplify]: Simplified to:
  (log (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
  (atan2 1.0 (+ (* N (+ N 1.0)) 1))
3.280 * * * [progress]: adding candidates to table
3.316 * * [progress]: iteration 3 / 4
3.316 * * * [progress]: picking best candidate
3.321 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))>
3.321 * * * [progress]: localizing error
3.341 * * * [progress]: generating rewritten candidates
3.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.343 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.345 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.358 * * * [progress]: generating series expansions
3.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.358 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.358 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
3.359 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.359 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.359 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.359 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.359 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.359 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.360 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.360 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.363 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.364 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.364 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
3.364 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.364 * [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)))
3.364 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.365 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.365 * [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)))
3.365 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.366 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.367 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.368 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.369 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.370 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.370 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
3.370 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.370 * [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))))
3.371 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.371 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.371 * [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))))
3.371 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.372 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.372 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.372 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.375 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.376 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.376 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
3.376 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.376 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.377 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.377 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.377 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
3.377 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.378 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.378 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.379 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.379 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.380 * [backup-simplify]: Simplify 0 into 0
3.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.381 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.383 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.384 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.386 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.386 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
3.386 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.386 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.386 * [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)))
3.387 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.387 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
3.387 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.387 * [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)))
3.388 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.389 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
3.389 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.392 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.394 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
3.395 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.396 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.396 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
3.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.396 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.396 * [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))))
3.397 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.397 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.397 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.398 * [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))))
3.398 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.399 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.399 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.400 * [backup-simplify]: Simplify 0 into 0
3.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.401 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.403 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.404 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
3.406 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.406 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.406 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
3.406 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.407 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.407 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.407 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.407 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.407 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.408 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.409 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
3.409 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.409 * [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)))
3.409 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.409 * [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)))
3.410 * [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)))
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [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)))
3.411 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.411 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
3.411 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.411 * [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))))
3.411 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.412 * [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))))
3.412 * [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))))
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.413 * [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)))
3.413 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.413 * [backup-simplify]: Simplify (atan2 1.0 (+ (* N (+ N 1.0)) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.413 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
3.413 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.413 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.413 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
3.414 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.414 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.415 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
3.415 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
3.415 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.415 * [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)))
3.415 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
3.415 * [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)))
3.416 * [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)))
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [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)))
3.417 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.417 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
3.417 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.417 * [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))))
3.417 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.418 * [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))))
3.418 * [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))))
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.419 * [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)))
3.419 * * * [progress]: simplifying candidates
3.421 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (log (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (exp (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (* (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (* (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (cbrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (cbrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (* (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))) (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (log (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (* (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (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)))
  (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)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
3.424 * * [simplify]: iteration 0: 64 enodes
3.448 * * [simplify]: iteration 1: 136 enodes
3.495 * * [simplify]: iteration 2: 522 enodes
4.888 * * [simplify]: iteration 3: 4350 enodes
11.531 * * [simplify]: iteration complete: 5000 enodes
11.532 * * [simplify]: Extracting #0: cost 24 inf + 0
11.534 * * [simplify]: Extracting #1: cost 1012 inf + 3
11.539 * * [simplify]: Extracting #2: cost 1358 inf + 12
11.544 * * [simplify]: Extracting #3: cost 1422 inf + 61
11.550 * * [simplify]: Extracting #4: cost 1369 inf + 220
11.559 * * [simplify]: Extracting #5: cost 1324 inf + 377
11.564 * * [simplify]: Extracting #6: cost 1169 inf + 3072
11.569 * * [simplify]: Extracting #7: cost 490 inf + 17770
11.574 * * [simplify]: Extracting #8: cost 3 inf + 28867
11.579 * * [simplify]: Extracting #9: cost 0 inf + 28940
11.584 * [simplify]: Simplified to:
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  1
  2
  1
  1
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  2
  (log (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (log (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (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)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1
  (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)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1
  (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)))))
  (sqrt (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)))))
  (sqrt (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)))))
  1
  2
  1
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 4 1))
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (log (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4)
  (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (sqrt (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)))))
  (sqrt (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)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (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))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
11.584 * * * [progress]: adding candidates to table
11.811 * * [progress]: iteration 4 / 4
11.811 * * * [progress]: picking best candidate
11.828 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)))>
11.828 * * * [progress]: localizing error
11.862 * * * [progress]: generating rewritten candidates
11.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
11.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
11.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
11.868 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
11.870 * * * [progress]: generating series expansions
11.870 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
11.870 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.870 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
11.870 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.870 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.870 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.870 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.870 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.870 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.871 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.871 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.871 * [backup-simplify]: Simplify 0 into 0
11.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.872 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.874 * [backup-simplify]: Simplify 0 into 0
11.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.874 * [backup-simplify]: Simplify 0 into 0
11.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.875 * [backup-simplify]: Simplify 0 into 0
11.875 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.875 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (/ 1 N) (+ 1.0 (/ 1 N)))))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.875 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
11.875 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.875 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.876 * [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)))
11.876 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.876 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.876 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.876 * [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)))
11.876 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.877 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.877 * [backup-simplify]: Simplify 0 into 0
11.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.878 * [backup-simplify]: Simplify 0 into 0
11.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.878 * [backup-simplify]: Simplify 0 into 0
11.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.879 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.880 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.881 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (/ 1 (- N)) (+ 1.0 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.881 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
11.881 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.881 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.881 * [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))))
11.881 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.882 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.882 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.882 * [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))))
11.882 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.882 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.882 * [backup-simplify]: Simplify 0 into 0
11.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.883 * [backup-simplify]: Simplify 0 into 0
11.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.884 * [backup-simplify]: Simplify 0 into 0
11.884 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.886 * [backup-simplify]: Simplify 0 into 0
11.886 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.887 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
11.887 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.887 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in (N) around 0
11.887 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.887 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.887 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.887 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.887 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.887 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.887 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.888 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.888 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.888 * [backup-simplify]: Simplify 0 into 0
11.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.889 * [backup-simplify]: Simplify 0 into 0
11.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.889 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.891 * [backup-simplify]: Simplify 0 into 0
11.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.891 * [backup-simplify]: Simplify 0 into 0
11.892 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.892 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.892 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in (N) around 0
11.892 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.892 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.892 * [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)))
11.892 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.892 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.892 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.893 * [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)))
11.893 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.893 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.893 * [backup-simplify]: Simplify 0 into 0
11.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.894 * [backup-simplify]: Simplify 0 into 0
11.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.895 * [backup-simplify]: Simplify 0 into 0
11.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.895 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.896 * [backup-simplify]: Simplify 0 into 0
11.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.897 * [backup-simplify]: Simplify 0 into 0
11.897 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.897 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.897 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
11.897 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.897 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.897 * [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))))
11.898 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.898 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
11.898 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
11.898 * [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))))
11.898 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.899 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
11.899 * [backup-simplify]: Simplify 0 into 0
11.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.899 * [backup-simplify]: Simplify 0 into 0
11.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.900 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.901 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
11.902 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
11.903 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) into (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 3)
11.903 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 3) in (N) around 0
11.903 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 3) in N
11.903 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) in N
11.903 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) in N
11.903 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) in N
11.903 * [taylor]: Taking taylor expansion of 1/4 in N
11.903 * [backup-simplify]: Simplify 1/4 into 1/4
11.903 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.903 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.903 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.903 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.904 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))
11.904 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4)
11.904 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 3) in N
11.904 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) in N
11.904 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) in N
11.904 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) in N
11.904 * [taylor]: Taking taylor expansion of 1/4 in N
11.904 * [backup-simplify]: Simplify 1/4 into 1/4
11.904 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) in N
11.904 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
11.904 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
11.904 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))) into (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.904 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))
11.905 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4)
11.905 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4)) into (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
11.905 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))) into (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
11.906 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4) into (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
11.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 1) into 0
11.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.908 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.908 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4))) into 0
11.908 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (* 0 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) into 0
11.908 * [backup-simplify]: Simplify 0 into 0
11.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 2) into 0
11.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))) into 0
11.912 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.912 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4)))) into 0
11.913 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))) into 0
11.913 * [backup-simplify]: Simplify 0 into 0
11.915 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 6) into 0
11.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))) into 0
11.917 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4))))) into 0
11.919 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))) into 0
11.919 * [backup-simplify]: Simplify 0 into 0
11.922 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 24) into 0
11.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))) into 0
11.925 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (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
11.927 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4)))))) into 0
11.928 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))) into 0
11.928 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 120) into 0
11.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))))) into 0
11.937 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (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
11.938 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4))))))) into 0
11.939 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))))))) into 0
11.939 * [backup-simplify]: Simplify 0 into 0
11.950 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1)))) 720) into 0
11.952 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))))) into 0
11.955 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))))) (+ (* (/ (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
11.957 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4)))))))) into 0
11.958 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))))))))) into 0
11.958 * [backup-simplify]: Simplify 0 into 0
11.959 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4) into (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
11.959 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (/ 1 N) (+ 1.0 (/ 1 N))))))) 3) into (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 3)
11.959 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 3) in (N) around 0
11.959 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 3) in N
11.959 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) in N
11.959 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) in N
11.959 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N
11.959 * [taylor]: Taking taylor expansion of 1/4 in N
11.959 * [backup-simplify]: Simplify 1/4 into 1/4
11.959 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.959 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.959 * [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)))
11.959 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.960 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))
11.960 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4)
11.960 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 3) in N
11.960 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) in N
11.960 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) in N
11.960 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N
11.960 * [taylor]: Taking taylor expansion of 1/4 in N
11.960 * [backup-simplify]: Simplify 1/4 into 1/4
11.960 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N
11.960 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
11.960 * [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)))
11.960 * [backup-simplify]: Simplify (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) into (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.961 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))
11.961 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4)
11.961 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4)) into (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))
11.962 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) into (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3) 1/4)
11.962 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3) 1/4) into (pow (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3) 1/4)
11.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 1) into 0
11.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.964 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.964 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (* 0 (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4))) into 0
11.965 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (* 0 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) into 0
11.965 * [backup-simplify]: Simplify 0 into 0
11.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 2) into 0
11.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))) into 0
11.968 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.968 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4)))) into 0
11.969 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))) into 0
11.969 * [backup-simplify]: Simplify 0 into 0
11.971 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 6) into 0
11.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))) into 0
11.974 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.975 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4))))) into 0
11.976 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))) into 0
11.976 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 24) into 0
11.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))))) into 0
11.982 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (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
11.983 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4)))))) into 0
11.985 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))))) into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.991 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 120) into 0
11.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))))) into 0
11.995 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (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
11.997 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4))))))) into 0
11.998 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))))))) into 0
11.999 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1)))) 720) into 0
12.009 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))))))) into 0
12.012 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))))) (+ (* (/ (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
12.014 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4)))))))) into 0
12.016 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))))))))) into 0
12.016 * [backup-simplify]: Simplify 0 into 0
12.016 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) 3) 1/4) into (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
12.016 * [backup-simplify]: Simplify (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (/ 1 (- N)) (+ 1.0 (/ 1 (- N)))))))) 3) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 3)
12.016 * [approximate]: Taking taylor expansion of (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 3) in (N) around 0
12.016 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 3) in N
12.016 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) in N
12.016 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
12.016 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
12.016 * [taylor]: Taking taylor expansion of 1/4 in N
12.016 * [backup-simplify]: Simplify 1/4 into 1/4
12.016 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
12.016 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
12.017 * [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))))
12.017 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
12.017 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
12.017 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4)
12.017 * [taylor]: Taking taylor expansion of (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 3) in N
12.017 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) in N
12.017 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N
12.017 * [taylor]: Taking taylor expansion of (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N
12.017 * [taylor]: Taking taylor expansion of 1/4 in N
12.017 * [backup-simplify]: Simplify 1/4 into 1/4
12.017 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
12.017 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
12.018 * [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))))
12.018 * [backup-simplify]: Simplify (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
12.018 * [backup-simplify]: Simplify (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))
12.018 * [backup-simplify]: Simplify (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4)
12.019 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4)) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
12.019 * [backup-simplify]: Simplify (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3) 1/4)
12.019 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3) 1/4) into (pow (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3) 1/4)
12.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 1) into 0
12.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
12.021 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.022 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4))) into 0
12.022 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (* 0 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
12.022 * [backup-simplify]: Simplify 0 into 0
12.024 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 2) into 0
12.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
12.025 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.026 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4)))) into 0
12.027 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))) into 0
12.027 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 6) into 0
12.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))) into 0
12.032 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.033 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4))))) into 0
12.034 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))) into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 24) into 0
12.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))) into 0
12.041 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 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
12.042 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4)))))) into 0
12.043 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))) into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 120) into 0
12.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))))) into 0
12.052 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 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
12.054 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4))))))) into 0
12.055 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))))))) into 0
12.055 * [backup-simplify]: Simplify 0 into 0
12.064 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1)))) 720) into 0
12.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))))) into 0
12.069 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 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
12.070 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4)))))))) into 0
12.072 * [backup-simplify]: Simplify (+ (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))))))))) into 0
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify (pow (pow (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) 3) 1/4) into (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
12.072 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
12.072 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
12.072 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
12.072 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
12.072 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
12.072 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
12.073 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
12.073 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
12.073 * [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)))
12.073 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
12.073 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
12.073 * [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)))
12.073 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
12.074 * [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)))
12.074 * [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)))
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [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)))
12.074 * [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))))
12.074 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
12.074 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
12.075 * [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))))
12.075 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
12.075 * [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))))
12.075 * [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))))
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [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)))
12.076 * * * [progress]: simplifying candidates
12.077 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (cbrt (sqrt (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)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (exp (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))
  (sqrt (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))
  (* (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (* (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 3))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1)
  (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) 3)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) 3)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) 3)
  (pow (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (log (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (exp (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (* (cbrt (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)) (cbrt (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)))
  (cbrt (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (* (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (pow (* (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) 3)
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) 3)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) 3)
  (pow (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (sqrt (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (/ 3 2))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (/ 3 2))
  (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)))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (sqrt (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))))
  (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
  (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
  (pow (pow (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3) 1/4)
  (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)))
12.078 * * [simplify]: iteration 0: 97 enodes
12.115 * * [simplify]: iteration 1: 269 enodes
12.194 * * [simplify]: iteration 2: 1085 enodes
13.905 * * [simplify]: iteration complete: 5002 enodes
13.905 * * [simplify]: Extracting #0: cost 34 inf + 0
13.908 * * [simplify]: Extracting #1: cost 1722 inf + 5
13.912 * * [simplify]: Extracting #2: cost 2093 inf + 134
13.918 * * [simplify]: Extracting #3: cost 2087 inf + 212
13.923 * * [simplify]: Extracting #4: cost 2080 inf + 241
13.928 * * [simplify]: Extracting #5: cost 2057 inf + 342
13.933 * * [simplify]: Extracting #6: cost 1618 inf + 11507
13.938 * * [simplify]: Extracting #7: cost 355 inf + 44714
13.943 * * [simplify]: Extracting #8: cost 10 inf + 51016
13.948 * * [simplify]: Extracting #9: cost 0 inf + 50111
13.952 * * [simplify]: Extracting #10: cost 0 inf + 50087
13.958 * [simplify]: Simplified to:
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (+ 3 1))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (cbrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (+ 3 1))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3)
  (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  1
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  1/2
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (* 3 (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))
  (* 3 (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))
  3/2
  3
  3/4
  3/2
  3/4
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 3))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (fabs (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  1
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  1
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  1
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (* 3 (log (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))
  (exp (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))
  (pow (fabs (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  1
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  1
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  (pow (sqrt (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) 3)
  1
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  3/2
  (fabs (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3/2))
  (fabs (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3/2))
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3/2)
  (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3/2)
  (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)))))
  (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3)
  (sqrt (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)))))
  (sqrt (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)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))
  (pow (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) 1/4)
  (pow (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) 1/4)
  (pow (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) 1/4)
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
  (atan2 1.0 (+ 1 (* N (+ 1.0 N))))
13.959 * * * [progress]: adding candidates to table
14.204 * [progress]: [Phase 3 of 3] Extracting.
14.204 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3/4)))> #<alt (λ (N) (* (sqrt (cbrt (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)))> #<alt (λ (N) (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 4 1)) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))> #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (sqrt (exp (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)))>)
14.205 * * * [regime-changes]: Trying 1 branch expressions: (N)
14.205 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3/4)))> #<alt (λ (N) (* (sqrt (cbrt (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)))> #<alt (λ (N) (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 4 1)) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))))))> #<alt (λ (N) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))))> #<alt (λ (N) (* (sqrt (exp (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3)))>)
14.250 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
14.251 * [simplify]: Simplifying:
  (atan2 1.0 (+ (* N (+ 1.0 N)) 1))
14.251 * * [simplify]: iteration 0: 7 enodes
14.252 * * [simplify]: iteration 1: 12 enodes
14.252 * * [simplify]: iteration complete: 12 enodes
14.252 * * [simplify]: Extracting #0: cost 1 inf + 0
14.252 * * [simplify]: Extracting #1: cost 3 inf + 0
14.252 * * [simplify]: Extracting #2: cost 4 inf + 1
14.252 * * [simplify]: Extracting #3: cost 5 inf + 2
14.252 * * [simplify]: Extracting #4: cost 0 inf + 27
14.252 * [simplify]: Simplified to:
  (atan2 1.0 (+ (* (+ N 1.0) N) 1))
15.959 * [regime-testing]: Baseline error score: 0.4093425473393085
15.961 * [regime-testing]: Oracle error score: 0.3688893703795984
15.964 * [regime-testing]: End program error score: 0.4093425473393085
16.013 * [regime-testing]: Target error score: 0.4104676879818888