55.569 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.057 * * * [progress]: [2/2] Setting up program.
0.060 * [progress]: [Phase 2 of 3] Improving.
0.060 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.061 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.061 * * [simplify]: iteration 1: (6 enodes)
0.062 * * [simplify]: iteration 2: (9 enodes)
0.063 * * [simplify]: iteration 3: (10 enodes)
0.064 * * [simplify]: Extracting #0: cost 1 inf + 0
0.065 * * [simplify]: Extracting #1: cost 4 inf + 0
0.065 * * [simplify]: Extracting #2: cost 6 inf + 0
0.065 * * [simplify]: Extracting #3: cost 6 inf + 1
0.065 * * [simplify]: Extracting #4: cost 0 inf + 735
0.065 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.068 * * [progress]: iteration 1 / 4
0.068 * * * [progress]: picking best candidate
0.070 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.070 * * * [progress]: localizing error
0.081 * * * [progress]: generating rewritten candidates
0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.087 * * * [progress]: generating series expansions
0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.087 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.087 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.087 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.087 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.099 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.099 * [taylor]: Taking taylor expansion of (atan N) in N
0.099 * [backup-simplify]: Simplify (atan N) into (atan N)
0.099 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.099 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.099 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.099 * [taylor]: Taking taylor expansion of (atan N) in N
0.099 * [backup-simplify]: Simplify (atan N) into (atan N)
0.099 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.099 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.100 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
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 (- 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 (- 0) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.104 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.104 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.104 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.104 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.104 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.104 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.104 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.104 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.104 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.104 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.105 * [backup-simplify]: Simplify (- 0) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.108 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.108 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.108 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.108 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.108 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.108 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.108 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.108 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.108 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.108 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.108 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.108 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.108 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.109 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.109 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.112 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.112 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.112 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.112 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.112 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.112 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.112 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.112 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.112 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.112 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.113 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.113 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.113 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.113 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.113 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.113 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.113 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.113 * * * [progress]: simplifying candidates
0.114 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.114 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.114 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.114 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.114 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.114 * * * * [progress]: [ 6 / 30 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.114 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.114 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.114 * * * * [progress]: [ 9 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
0.114 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.114 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.114 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.114 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.114 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.114 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.114 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.114 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.114 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.114 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.114 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.114 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.114 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.114 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.114 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.114 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.114 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.114 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.114 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.115 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.115 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.115 * [simplify]: Simplifying:
  (- (+ N 1) N)
  (+ 1 (* (+ N 1) N))
  (/ (exp (atan (+ N 1))) (exp (atan N)))
  (log (- (atan (+ N 1)) (atan N)))
  (exp (- (atan (+ N 1)) (atan N)))
  (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N))))
  (cbrt (- (atan (+ N 1)) (atan N)))
  (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))
  (sqrt (- (atan (+ N 1)) (atan N)))
  (sqrt (- (atan (+ N 1)) (atan N)))
  (- (pow (atan (+ N 1)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
  (+ (atan (+ N 1)) (atan N))
  (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
  (- (atan (+ N 1)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ N 1)) (atan N)))
  (log (atan (+ N 1)))
  (exp (atan (+ N 1)))
  (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1))))
  (cbrt (atan (+ N 1)))
  (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))
  (sqrt (atan (+ N 1)))
  (sqrt (atan (+ N 1)))
  (real->posit16 (atan (+ N 1)))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (atan (+ N 1))
  (atan (+ N 1))
  (atan (+ N 1))
0.115 * * [simplify]: iteration 1: (41 enodes)
0.123 * * [simplify]: iteration 2: (75 enodes)
0.136 * * [simplify]: iteration 3: (149 enodes)
0.167 * * [simplify]: iteration 4: (287 enodes)
0.246 * * [simplify]: iteration 5: (618 enodes)
0.549 * * [simplify]: iteration 6: (1652 enodes)
1.792 * * [simplify]: Extracting #0: cost 25 inf + 0
1.792 * * [simplify]: Extracting #1: cost 235 inf + 1
1.796 * * [simplify]: Extracting #2: cost 973 inf + 3955
1.816 * * [simplify]: Extracting #3: cost 826 inf + 118648
1.928 * * [simplify]: Extracting #4: cost 292 inf + 419159
2.099 * * [simplify]: Extracting #5: cost 9 inf + 649574
2.223 * * [simplify]: Extracting #6: cost 0 inf + 655834
2.372 * * [simplify]: Extracting #7: cost 0 inf + 655472
2.548 * [simplify]: Simplified to:
  1
  (+ 1 (* N (+ 1 N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (log (- (atan (+ 1 N)) (atan N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
  (cbrt (- (atan (+ 1 N)) (atan N)))
  (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N))))
  (+ (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N)))) (* (atan N) (atan N)))
  (- (atan N))
  (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N))))
  (+ (atan N) (atan (+ 1 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
  (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ 1 N)) (atan N)))
  (log (atan (+ 1 N)))
  (exp (atan (+ 1 N)))
  (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
  (cbrt (atan (+ 1 N)))
  (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (real->posit16 (atan (+ 1 N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (atan (+ 1 N))
  (atan (+ 1 N))
  (atan (+ 1 N))
2.550 * * * [progress]: adding candidates to table
2.823 * * [progress]: iteration 2 / 4
2.823 * * * [progress]: picking best candidate
2.827 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
2.827 * * * [progress]: localizing error
2.848 * * * [progress]: generating rewritten candidates
2.848 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.849 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
2.882 * * * [progress]: generating series expansions
2.882 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.882 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.882 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
2.882 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.882 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.882 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.883 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.883 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.883 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.883 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
2.883 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.884 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.884 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.884 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.884 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.885 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.885 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
2.885 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.885 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.885 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.885 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.885 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.886 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
2.886 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N)
2.886 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0
2.886 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.886 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.886 * [taylor]: Taking taylor expansion of N in N
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of 1 in N
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of N in N
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.886 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.886 * [taylor]: Taking taylor expansion of N in N
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of 1 in N
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of N in N
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.887 * [backup-simplify]: Simplify (+ 0 1) into 1
2.888 * [backup-simplify]: Simplify (* 1 0) into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify (+ 1 0) into 1
2.889 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
2.890 * [backup-simplify]: Simplify 1 into 1
2.890 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
2.891 * [backup-simplify]: Simplify 1 into 1
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.892 * [backup-simplify]: Simplify 0 into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (+ 0 0) into 0
2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.896 * [backup-simplify]: Simplify 0 into 0
2.896 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.898 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify (+ 0 0) into 0
2.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.900 * [backup-simplify]: Simplify 0 into 0
2.900 * [backup-simplify]: Simplify (+ 0 0) into 0
2.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
2.902 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N)
2.903 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0
2.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.903 * [taylor]: Taking taylor expansion of N in N
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.903 * [backup-simplify]: Simplify (/ 1 1) into 1
2.903 * [taylor]: Taking taylor expansion of 1 in N
2.903 * [backup-simplify]: Simplify 1 into 1
2.903 * [taylor]: Taking taylor expansion of N in N
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.904 * [backup-simplify]: Simplify (+ 1 0) into 1
2.904 * [backup-simplify]: Simplify (/ 1 1) into 1
2.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.904 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.904 * [taylor]: Taking taylor expansion of N in N
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.905 * [backup-simplify]: Simplify (/ 1 1) into 1
2.905 * [taylor]: Taking taylor expansion of 1 in N
2.905 * [backup-simplify]: Simplify 1 into 1
2.905 * [taylor]: Taking taylor expansion of N in N
2.905 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify 1 into 1
2.905 * [backup-simplify]: Simplify (+ 1 0) into 1
2.906 * [backup-simplify]: Simplify (/ 1 1) into 1
2.906 * [backup-simplify]: Simplify 1 into 1
2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 1) into 1
2.908 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
2.908 * [backup-simplify]: Simplify 1 into 1
2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.909 * [backup-simplify]: Simplify (+ 0 0) into 0
2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.911 * [backup-simplify]: Simplify (+ 0 0) into 0
2.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.912 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.914 * [backup-simplify]: Simplify (+ 0 0) into 0
2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.915 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.916 * [backup-simplify]: Simplify (+ 0 0) into 0
2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (+ 0 0) into 0
2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.920 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.921 * [backup-simplify]: Simplify (+ 0 0) into 0
2.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
2.923 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N))
2.923 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0
2.923 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.923 * [taylor]: Taking taylor expansion of -1 in N
2.923 * [backup-simplify]: Simplify -1 into -1
2.923 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.923 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.923 * [taylor]: Taking taylor expansion of 1 in N
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.923 * [taylor]: Taking taylor expansion of N in N
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [backup-simplify]: Simplify (/ 1 1) into 1
2.923 * [taylor]: Taking taylor expansion of N in N
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.924 * [backup-simplify]: Simplify (- 1) into -1
2.924 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.925 * [backup-simplify]: Simplify (/ -1 1) into -1
2.925 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.925 * [taylor]: Taking taylor expansion of -1 in N
2.925 * [backup-simplify]: Simplify -1 into -1
2.925 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.925 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.925 * [taylor]: Taking taylor expansion of 1 in N
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.925 * [taylor]: Taking taylor expansion of N in N
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (/ 1 1) into 1
2.925 * [taylor]: Taking taylor expansion of N in N
2.925 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (- 1) into -1
2.926 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.927 * [backup-simplify]: Simplify (/ -1 1) into -1
2.927 * [backup-simplify]: Simplify (* -1 -1) into 1
2.927 * [backup-simplify]: Simplify 1 into 1
2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.928 * [backup-simplify]: Simplify (- 0) into 0
2.929 * [backup-simplify]: Simplify (+ 1 0) into 1
2.930 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
2.930 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.930 * [backup-simplify]: Simplify -1 into -1
2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.932 * [backup-simplify]: Simplify (- 0) into 0
2.932 * [backup-simplify]: Simplify (+ 0 0) into 0
2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.934 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify (- 0) into 0
2.936 * [backup-simplify]: Simplify (+ 0 0) into 0
2.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.938 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0
2.938 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (- 0) into 0
2.940 * [backup-simplify]: Simplify (+ 0 0) into 0
2.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.942 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
2.942 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.944 * [backup-simplify]: Simplify (- 0) into 0
2.944 * [backup-simplify]: Simplify (+ 0 0) into 0
2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0
2.947 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (- 0) into 0
2.949 * [backup-simplify]: Simplify (+ 0 0) into 0
2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.953 * [backup-simplify]: Simplify (- 0) into 0
2.953 * [backup-simplify]: Simplify (+ 0 0) into 0
2.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
2.957 * * * [progress]: simplifying candidates
2.957 * * * * [progress]: [ 1 / 36 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
2.957 * * * * [progress]: [ 2 / 36 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.957 * * * * [progress]: [ 3 / 36 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.957 * * * * [progress]: [ 4 / 36 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.957 * * * * [progress]: [ 5 / 36 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.957 * * * * [progress]: [ 6 / 36 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.957 * * * * [progress]: [ 7 / 36 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
2.957 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.957 * * * * [progress]: [ 9 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.958 * * * * [progress]: [ 10 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.958 * * * * [progress]: [ 11 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ N 1)) (log N))))))>
2.958 * * * * [progress]: [ 12 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
2.958 * * * * [progress]: [ 13 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
2.958 * * * * [progress]: [ 14 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))))))>
2.958 * * * * [progress]: [ 15 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
2.958 * * * * [progress]: [ 16 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
2.958 * * * * [progress]: [ 17 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
2.958 * * * * [progress]: [ 18 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.958 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))>
2.958 * * * * [progress]: [ 20 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))>
2.958 * * * * [progress]: [ 21 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))>
2.958 * * * * [progress]: [ 22 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) 1) N))))>
2.958 * * * * [progress]: [ 23 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
2.958 * * * * [progress]: [ 24 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
2.958 * * * * [progress]: [ 25 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.958 * * * * [progress]: [ 26 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.958 * * * * [progress]: [ 27 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
2.959 * * * * [progress]: [ 28 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
2.959 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (posit16->real (real->posit16 (* (+ N 1) N))))))>
2.959 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
2.959 * * * * [progress]: [ 31 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.959 * * * * [progress]: [ 32 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.959 * * * * [progress]: [ 33 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.959 * * * * [progress]: [ 34 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.959 * * * * [progress]: [ 35 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.959 * * * * [progress]: [ 36 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.960 * [simplify]: Simplifying:
  (log (atan2 1 (+ 1 (* (+ N 1) N))))
  (exp (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (+ N 1) N)
  (+ (log (+ N 1)) (log N))
  (log (* (+ N 1) N))
  (exp (* (+ N 1) N))
  (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))
  (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))
  (cbrt (* (+ N 1) N))
  (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))
  (sqrt (* (+ N 1) N))
  (sqrt (* (+ N 1) N))
  (* (sqrt (+ N 1)) (sqrt N))
  (* (sqrt (+ N 1)) (sqrt N))
  (* (+ N 1) (* (cbrt N) (cbrt N)))
  (* (+ N 1) (sqrt N))
  (* (+ N 1) 1)
  (* (cbrt (+ N 1)) N)
  (* (sqrt (+ N 1)) N)
  (* (+ N 1) N)
  (* (+ N 1) N)
  (* (+ (pow N 3) (pow 1 3)) N)
  (* (- (* N N) (* 1 1)) N)
  (real->posit16 (* (+ N 1) N))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (+ N (pow N 2))
  (+ N (pow N 2))
  (+ N (pow N 2))
2.960 * * [simplify]: iteration 1: (55 enodes)
2.972 * * [simplify]: iteration 2: (119 enodes)
3.021 * * [simplify]: iteration 3: (305 enodes)
3.237 * * [simplify]: iteration 4: (832 enodes)
4.824 * * [simplify]: Extracting #0: cost 24 inf + 0
4.825 * * [simplify]: Extracting #1: cost 172 inf + 0
4.827 * * [simplify]: Extracting #2: cost 482 inf + 3683
4.833 * * [simplify]: Extracting #3: cost 275 inf + 32759
4.857 * * [simplify]: Extracting #4: cost 24 inf + 96217
4.877 * * [simplify]: Extracting #5: cost 0 inf + 102893
4.902 * * [simplify]: Extracting #6: cost 0 inf + 102813
4.923 * [simplify]: Simplified to:
  (log (atan2 1 (+ (+ N 1) (* N N))))
  (exp (atan2 1 (+ (+ N 1) (* N N))))
  (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (cbrt (atan2 1 (+ (+ N 1) (* N N))))
  (* (atan2 1 (+ (+ N 1) (* N N))) (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (real->posit16 (atan2 1 (+ (+ N 1) (* N N))))
  (+ N (* N N))
  (log (+ N (* N N)))
  (log (+ N (* N N)))
  (exp (+ (* N N) N))
  (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))
  (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))
  (cbrt (+ N (* N N)))
  (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))
  (sqrt (+ N (* N N)))
  (sqrt (+ N (* N N)))
  (* (sqrt N) (sqrt (+ N 1)))
  (* (sqrt N) (sqrt (+ N 1)))
  (+ (* (cbrt N) (cbrt N)) (* N (* (cbrt N) (cbrt N))))
  (+ (* (sqrt N) N) (sqrt N))
  (+ N 1)
  (* (cbrt (+ N 1)) N)
  (* N (sqrt (+ N 1)))
  (+ N (* N N))
  (+ N (* N N))
  (+ N (* (* N N) (* N N)))
  (- (* (* N N) N) N)
  (real->posit16 (+ N (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (+ N (* N N))
  (+ N (* N N))
  (+ N (* N N))
4.924 * * * [progress]: adding candidates to table
5.177 * * [progress]: iteration 3 / 4
5.177 * * * [progress]: picking best candidate
5.189 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.190 * * * [progress]: localizing error
5.225 * * * [progress]: generating rewritten candidates
5.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
5.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.252 * * * [progress]: generating series expansions
5.252 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.252 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.252 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
5.252 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.252 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.252 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.252 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.253 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.253 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.253 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.253 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.253 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.253 * [backup-simplify]: Simplify 0 into 0
5.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.255 * [backup-simplify]: Simplify 0 into 0
5.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.256 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.257 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.258 * [backup-simplify]: Simplify 0 into 0
5.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.259 * [backup-simplify]: Simplify 0 into 0
5.259 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.260 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.260 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
5.260 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.260 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.260 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.260 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.260 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.260 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.261 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.261 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.262 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.262 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.263 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.264 * [backup-simplify]: Simplify 0 into 0
5.265 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.265 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.266 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.267 * [backup-simplify]: Simplify 0 into 0
5.268 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.268 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.268 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
5.268 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.268 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.268 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.268 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.268 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.268 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.269 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.269 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.269 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.269 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.271 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
5.273 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.273 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
5.273 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.273 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.273 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.273 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.273 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.273 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.273 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.273 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.274 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.274 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.276 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.276 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.277 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.277 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
5.277 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.277 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.277 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.277 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.278 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.278 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.278 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.278 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.278 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.278 * [backup-simplify]: Simplify 0 into 0
5.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.279 * [backup-simplify]: Simplify 0 into 0
5.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.279 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.281 * [backup-simplify]: Simplify 0 into 0
5.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.282 * [backup-simplify]: Simplify 0 into 0
5.282 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.282 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.282 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
5.282 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.282 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.282 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.282 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.282 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.282 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.282 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.283 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.283 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.283 * [backup-simplify]: Simplify 0 into 0
5.284 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.284 * [backup-simplify]: Simplify 0 into 0
5.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.284 * [backup-simplify]: Simplify 0 into 0
5.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.285 * [backup-simplify]: Simplify 0 into 0
5.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.286 * [backup-simplify]: Simplify 0 into 0
5.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.287 * [backup-simplify]: Simplify 0 into 0
5.287 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.287 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.287 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.287 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
5.287 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.287 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.287 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.287 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.287 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.288 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.288 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
5.288 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.288 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.288 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.288 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.288 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.289 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.289 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
5.289 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.289 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.289 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.289 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.289 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.290 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
5.290 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.290 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
5.290 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.290 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.290 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.290 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.290 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.290 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.290 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
5.290 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.291 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.291 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.291 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.291 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.291 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.291 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
5.291 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.291 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.291 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.292 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.292 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.292 * * * [progress]: simplifying candidates
5.292 * * * * [progress]: [ 1 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
5.292 * * * * [progress]: [ 2 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
5.292 * * * * [progress]: [ 3 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 4 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 5 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 6 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 7 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 8 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 9 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.292 * * * * [progress]: [ 10 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
5.292 * * * * [progress]: [ 11 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.292 * * * * [progress]: [ 12 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.293 * * * * [progress]: [ 13 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.293 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.293 * * * * [progress]: [ 15 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 16 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 17 / 98 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 18 / 98 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 19 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 20 / 98 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 21 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 22 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 23 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 24 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 25 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 26 / 98 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 27 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.293 * * * * [progress]: [ 29 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
5.293 * * * * [progress]: [ 30 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (/ 1 2))))>
5.293 * * * * [progress]: [ 31 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
5.293 * * * * [progress]: [ 32 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) 1/2)))>
5.293 * * * * [progress]: [ 33 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (/ 1 2))))>
5.293 * * * * [progress]: [ 34 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
5.293 * * * * [progress]: [ 35 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
5.293 * * * * [progress]: [ 36 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2)))>
5.293 * * * * [progress]: [ 37 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
5.293 * * * * [progress]: [ 38 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
5.293 * * * * [progress]: [ 39 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
5.293 * * * * [progress]: [ 40 / 98 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.293 * * * * [progress]: [ 41 / 98 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 42 / 98 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 43 / 98 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 44 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 45 / 98 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 46 / 98 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.294 * * * * [progress]: [ 47 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 48 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
5.294 * * * * [progress]: [ 49 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.294 * * * * [progress]: [ 50 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 51 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 52 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 53 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 54 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.294 * * * * [progress]: [ 55 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 56 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 57 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.294 * * * * [progress]: [ 58 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 59 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 60 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 61 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.294 * * * * [progress]: [ 62 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 1/2)))>
5.294 * * * * [progress]: [ 63 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 2 1)))>
5.294 * * * * [progress]: [ 64 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 (/ 1 2))))>
5.294 * * * * [progress]: [ 65 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.294 * * * * [progress]: [ 66 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.294 * * * * [progress]: [ 67 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 68 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.295 * * * * [progress]: [ 69 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 70 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.295 * * * * [progress]: [ 71 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 72 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 73 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 74 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 75 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 76 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 78 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.295 * * * * [progress]: [ 79 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
5.295 * * * * [progress]: [ 80 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 81 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 82 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 83 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 84 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 85 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
5.295 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.295 * * * * [progress]: [ 87 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
5.295 * * * * [progress]: [ 88 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
5.295 * * * * [progress]: [ 89 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
5.295 * * * * [progress]: [ 90 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.295 * * * * [progress]: [ 91 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.295 * * * * [progress]: [ 92 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
5.295 * * * * [progress]: [ 93 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
5.295 * * * * [progress]: [ 94 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
5.295 * * * * [progress]: [ 95 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
5.295 * * * * [progress]: [ 96 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
5.295 * * * * [progress]: [ 97 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
5.296 * * * * [progress]: [ 98 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
5.296 * [simplify]: Simplifying:
  (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt 1)
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt 1)
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
  (+ 1 1)
  (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
  (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
  (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
  (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* 1 1)
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)
  (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (log (atan2 1 (+ 1 (* (+ N 1) N))))
  (exp (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
5.298 * * [simplify]: iteration 1: (65 enodes)
5.317 * * [simplify]: iteration 2: (123 enodes)
5.355 * * [simplify]: iteration 3: (237 enodes)
5.469 * * [simplify]: iteration 4: (416 enodes)
5.693 * * [simplify]: iteration 5: (872 enodes)
7.356 * * [simplify]: Extracting #0: cost 26 inf + 0
7.357 * * [simplify]: Extracting #1: cost 245 inf + 3
7.361 * * [simplify]: Extracting #2: cost 515 inf + 11
7.367 * * [simplify]: Extracting #3: cost 510 inf + 3766
7.382 * * [simplify]: Extracting #4: cost 420 inf + 47556
7.468 * * [simplify]: Extracting #5: cost 74 inf + 290231
7.527 * * [simplify]: Extracting #6: cost 0 inf + 352511
7.588 * [simplify]: Simplified to:
  (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)))
  (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)))
  (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  1
  2
  1
  1
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
  2
  (log (atan2 1 (+ (* (+ N 1) N) 1)))
  (log (atan2 1 (+ (* (+ N 1) N) 1)))
  (exp (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  1
  (atan2 1 (+ (* (+ N 1) N) 1))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  1
  (atan2 1 (+ (* (+ N 1) N) 1))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  1
  2
  1
  (* (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1)))
  (log (atan2 1 (+ (* (+ N 1) N) 1)))
  (exp (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (atan2 1 (+ (* (+ N 1) N) 1))
7.595 * * * [progress]: adding candidates to table
8.433 * * [progress]: iteration 4 / 4
8.433 * * * [progress]: picking best candidate
8.446 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.446 * * * [progress]: localizing error
8.509 * * * [progress]: generating rewritten candidates
8.509 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
8.510 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
8.510 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
8.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
8.512 * * * [progress]: generating series expansions
8.512 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
8.512 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.512 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in (N) around 0
8.512 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
8.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
8.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
8.512 * [taylor]: Taking taylor expansion of 1/3 in N
8.512 * [backup-simplify]: Simplify 1/3 into 1/3
8.512 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.512 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.513 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.513 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
8.513 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
8.513 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.513 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
8.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
8.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
8.513 * [taylor]: Taking taylor expansion of 1/3 in N
8.513 * [backup-simplify]: Simplify 1/3 into 1/3
8.513 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.513 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.513 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.513 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
8.513 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
8.513 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.514 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
8.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.515 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.515 * [backup-simplify]: Simplify 0 into 0
8.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 2) into 0
8.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
8.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.518 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 6) into 0
8.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
8.522 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.522 * [backup-simplify]: Simplify 0 into 0
8.525 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 24) into 0
8.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
8.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.528 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 120) into 0
8.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))))) into 0
8.536 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.536 * [backup-simplify]: Simplify 0 into 0
8.548 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 720) into 0
8.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))))) into 0
8.553 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.553 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.553 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in (N) around 0
8.553 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
8.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
8.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
8.553 * [taylor]: Taking taylor expansion of 1/3 in N
8.553 * [backup-simplify]: Simplify 1/3 into 1/3
8.553 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.553 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.553 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.554 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.554 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
8.554 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.554 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
8.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
8.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
8.554 * [taylor]: Taking taylor expansion of 1/3 in N
8.554 * [backup-simplify]: Simplify 1/3 into 1/3
8.554 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.554 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.554 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.554 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.554 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
8.554 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.555 * [backup-simplify]: Simplify (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
8.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.556 * [backup-simplify]: Simplify 0 into 0
8.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 2) into 0
8.558 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
8.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.559 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 6) into 0
8.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
8.563 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 24) into 0
8.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))) into 0
8.568 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.568 * [backup-simplify]: Simplify 0 into 0
8.573 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 120) into 0
8.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))))) into 0
8.577 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.577 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 720) into 0
8.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))))) into 0
8.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.597 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify (pow (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.598 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.598 * [approximate]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in (N) around 0
8.598 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
8.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
8.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
8.598 * [taylor]: Taking taylor expansion of 1/3 in N
8.598 * [backup-simplify]: Simplify 1/3 into 1/3
8.598 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.598 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.599 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.599 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.599 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
8.599 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.599 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
8.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
8.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
8.599 * [taylor]: Taking taylor expansion of 1/3 in N
8.599 * [backup-simplify]: Simplify 1/3 into 1/3
8.600 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.600 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.600 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.600 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.600 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
8.600 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.601 * [backup-simplify]: Simplify (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
8.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.604 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 2) into 0
8.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
8.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 6) into 0
8.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
8.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.615 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 24) into 0
8.623 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0
8.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.626 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 120) into 0
8.638 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0
8.642 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.642 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 720) into 0
8.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0
8.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify (pow (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.666 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
8.667 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.667 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in (N) around 0
8.667 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
8.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
8.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
8.667 * [taylor]: Taking taylor expansion of 1/3 in N
8.667 * [backup-simplify]: Simplify 1/3 into 1/3
8.667 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.667 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.667 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.667 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
8.667 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
8.668 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.668 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
8.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
8.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
8.668 * [taylor]: Taking taylor expansion of 1/3 in N
8.668 * [backup-simplify]: Simplify 1/3 into 1/3
8.668 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.668 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.668 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.668 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
8.668 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
8.668 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.669 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
8.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 2) into 0
8.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
8.677 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.677 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 6) into 0
8.682 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
8.684 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.684 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 24) into 0
8.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
8.694 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.695 * [backup-simplify]: Simplify 0 into 0
8.703 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 120) into 0
8.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))))) into 0
8.710 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.710 * [backup-simplify]: Simplify 0 into 0
8.723 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 720) into 0
8.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))))) into 0
8.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.732 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.732 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in (N) around 0
8.732 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
8.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
8.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
8.732 * [taylor]: Taking taylor expansion of 1/3 in N
8.732 * [backup-simplify]: Simplify 1/3 into 1/3
8.732 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.732 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.732 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.732 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.732 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
8.733 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.733 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
8.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
8.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
8.733 * [taylor]: Taking taylor expansion of 1/3 in N
8.733 * [backup-simplify]: Simplify 1/3 into 1/3
8.733 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.733 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.733 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.733 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.733 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
8.734 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.734 * [backup-simplify]: Simplify (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
8.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.737 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.737 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 2) into 0
8.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
8.741 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.741 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 6) into 0
8.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
8.747 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.747 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 24) into 0
8.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))) into 0
8.756 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.756 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 120) into 0
8.766 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))))) into 0
8.770 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.770 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 720) into 0
8.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))))) into 0
8.793 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.793 * [backup-simplify]: Simplify 0 into 0
8.793 * [backup-simplify]: Simplify (pow (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.794 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.794 * [approximate]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in (N) around 0
8.794 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
8.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
8.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
8.794 * [taylor]: Taking taylor expansion of 1/3 in N
8.794 * [backup-simplify]: Simplify 1/3 into 1/3
8.794 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.794 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.794 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.794 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.795 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
8.795 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.795 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
8.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
8.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
8.795 * [taylor]: Taking taylor expansion of 1/3 in N
8.795 * [backup-simplify]: Simplify 1/3 into 1/3
8.795 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.795 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.795 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.795 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.796 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
8.796 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.796 * [backup-simplify]: Simplify (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
8.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.799 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.800 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 2) into 0
8.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
8.804 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.804 * [backup-simplify]: Simplify 0 into 0
8.810 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 6) into 0
8.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
8.814 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.814 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 24) into 0
8.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0
8.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.822 * [backup-simplify]: Simplify 0 into 0
8.827 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 120) into 0
8.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0
8.831 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.831 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 720) into 0
8.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0
8.843 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify (pow (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.844 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
8.844 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.844 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in (N) around 0
8.844 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
8.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
8.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
8.844 * [taylor]: Taking taylor expansion of 1/3 in N
8.844 * [backup-simplify]: Simplify 1/3 into 1/3
8.844 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.844 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.844 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.844 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
8.844 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
8.844 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.845 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
8.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
8.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
8.845 * [taylor]: Taking taylor expansion of 1/3 in N
8.845 * [backup-simplify]: Simplify 1/3 into 1/3
8.845 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.845 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.845 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.845 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
8.845 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
8.845 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.845 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
8.846 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.847 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.847 * [backup-simplify]: Simplify 0 into 0
8.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 2) into 0
8.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
8.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.851 * [backup-simplify]: Simplify 0 into 0
8.854 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 6) into 0
8.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
8.857 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.858 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 24) into 0
8.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
8.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.866 * [backup-simplify]: Simplify 0 into 0
8.871 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 120) into 0
8.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))))) into 0
8.875 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.875 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 720) into 0
8.884 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))))) into 0
8.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ 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
8.887 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.888 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.888 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in (N) around 0
8.888 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
8.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
8.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
8.888 * [taylor]: Taking taylor expansion of 1/3 in N
8.888 * [backup-simplify]: Simplify 1/3 into 1/3
8.888 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.888 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.888 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.888 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.888 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
8.888 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.888 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
8.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
8.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
8.888 * [taylor]: Taking taylor expansion of 1/3 in N
8.888 * [backup-simplify]: Simplify 1/3 into 1/3
8.888 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.888 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.889 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.889 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.889 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
8.889 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.889 * [backup-simplify]: Simplify (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
8.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
8.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.891 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.891 * [backup-simplify]: Simplify 0 into 0
8.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 2) into 0
8.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
8.895 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.895 * [backup-simplify]: Simplify 0 into 0
8.899 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 6) into 0
8.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
8.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.902 * [backup-simplify]: Simplify 0 into 0
8.910 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 24) into 0
8.912 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))) into 0
8.914 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.914 * [backup-simplify]: Simplify 0 into 0
8.919 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 120) into 0
8.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))))) into 0
8.923 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.923 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 720) into 0
8.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))))) into 0
8.936 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
8.936 * [backup-simplify]: Simplify 0 into 0
8.936 * [backup-simplify]: Simplify (pow (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.936 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.936 * [approximate]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in (N) around 0
8.936 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
8.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
8.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
8.937 * [taylor]: Taking taylor expansion of 1/3 in N
8.937 * [backup-simplify]: Simplify 1/3 into 1/3
8.937 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.937 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.937 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.937 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.937 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
8.937 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.937 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
8.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
8.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
8.937 * [taylor]: Taking taylor expansion of 1/3 in N
8.937 * [backup-simplify]: Simplify 1/3 into 1/3
8.937 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.937 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.937 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.937 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.938 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
8.938 * [backup-simplify]: Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.938 * [backup-simplify]: Simplify (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
8.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
8.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.940 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.940 * [backup-simplify]: Simplify 0 into 0
8.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 2) into 0
8.943 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
8.944 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.944 * [backup-simplify]: Simplify 0 into 0
8.948 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 6) into 0
8.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
8.951 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.951 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 24) into 0
8.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0
8.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.959 * [backup-simplify]: Simplify 0 into 0
8.964 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 120) into 0
8.966 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0
8.968 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.968 * [backup-simplify]: Simplify 0 into 0
8.976 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 720) into 0
8.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0
8.985 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 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
8.985 * [backup-simplify]: Simplify 0 into 0
8.986 * [backup-simplify]: Simplify (pow (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
8.986 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
8.986 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.986 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
8.986 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.986 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.986 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.987 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.987 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.987 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.987 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.987 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.988 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.988 * [backup-simplify]: Simplify 0 into 0
8.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.989 * [backup-simplify]: Simplify 0 into 0
8.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.990 * [backup-simplify]: Simplify 0 into 0
8.991 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.991 * [backup-simplify]: Simplify 0 into 0
8.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.992 * [backup-simplify]: Simplify 0 into 0
8.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.994 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.994 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.994 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
8.994 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.994 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.994 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.995 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.995 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.995 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.996 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.996 * [backup-simplify]: Simplify 0 into 0
8.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.997 * [backup-simplify]: Simplify 0 into 0
8.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.998 * [backup-simplify]: Simplify 0 into 0
8.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.999 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
9.000 * [backup-simplify]: Simplify 0 into 0
9.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
9.001 * [backup-simplify]: Simplify 0 into 0
9.001 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
9.001 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
9.001 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
9.001 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
9.001 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
9.001 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
9.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
9.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
9.002 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
9.002 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
9.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
9.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
9.002 * [backup-simplify]: Simplify 0 into 0
9.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.003 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.004 * [backup-simplify]: Simplify 0 into 0
9.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.005 * [backup-simplify]: Simplify 0 into 0
9.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
9.006 * [backup-simplify]: Simplify 0 into 0
9.006 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
9.006 * * * [progress]: simplifying candidates
9.006 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/3)))))>
9.006 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (pow (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))))>
9.006 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (exp (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (log (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt 1) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
9.006 * * * * [progress]: [ 8 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.006 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* 1 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
9.006 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (posit16->real (real->posit16 (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
9.007 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/3))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt 1) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (posit16->real (real->posit16 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/3) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (pow (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (exp (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (log (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.007 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (cbrt 1) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* 1 (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 36 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (posit16->real (real->posit16 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 37 / 62 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 38 / 62 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 39 / 62 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 40 / 62 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 41 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 48 / 62 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)))))>
9.008 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)))))>
9.008 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)))))>
9.008 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.008 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 60 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 61 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * * * * [progress]: [ 62 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
9.009 * [simplify]: Simplifying:
  (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt 1)
  (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt 1)
  (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt 1)
  (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
  (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt 1)
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
  (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
9.010 * * [simplify]: iteration 1: (37 enodes)
9.020 * * [simplify]: iteration 2: (57 enodes)
9.029 * * [simplify]: iteration 3: (80 enodes)
9.044 * * [simplify]: iteration 4: (126 enodes)
9.080 * * [simplify]: iteration 5: (262 enodes)
9.169 * * [simplify]: iteration 6: (737 enodes)
10.053 * * [simplify]: Extracting #0: cost 20 inf + 0
10.054 * * [simplify]: Extracting #1: cost 266 inf + 2
10.056 * * [simplify]: Extracting #2: cost 627 inf + 8
10.060 * * [simplify]: Extracting #3: cost 614 inf + 11394
10.093 * * [simplify]: Extracting #4: cost 313 inf + 245437
10.167 * * [simplify]: Extracting #5: cost 10 inf + 527030
10.253 * * [simplify]: Extracting #6: cost 0 inf + 529706
10.339 * * [simplify]: Extracting #7: cost 0 inf + 528507
10.419 * [simplify]: Simplified to:
  (* 1/3 (log (atan2 1 (+ (* (+ N 1) N) 1))))
  (exp (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (real->posit16 (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* 1/3 (log (atan2 1 (+ (* (+ N 1) N) 1))))
  (exp (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (real->posit16 (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* 1/3 (log (atan2 1 (+ (* (+ N 1) N) 1))))
  (exp (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (* (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (real->posit16 (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)))
  (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  1
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
  (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
10.425 * * * [progress]: adding candidates to table
11.133 * [progress]: [Phase 3 of 3] Extracting.
11.134 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>)
11.134 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N)
11.134 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>)
11.169 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>)
11.210 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
11.210 * [simplify]: Simplifying:
  (atan2 1 (+ 1 (* (+ N 1) N)))
11.210 * * [simplify]: iteration 1: (6 enodes)
11.211 * * [simplify]: iteration 2: (9 enodes)
11.212 * * [simplify]: Extracting #0: cost 1 inf + 0
11.212 * * [simplify]: Extracting #1: cost 3 inf + 0
11.212 * * [simplify]: Extracting #2: cost 3 inf + 1
11.212 * * [simplify]: Extracting #3: cost 5 inf + 1
11.212 * * [simplify]: Extracting #4: cost 0 inf + 510
11.212 * [simplify]: Simplified to:
  (atan2 1 (+ (* (+ N 1) N) 1))
13.611 * [regime-testing]: Baseline error score: 0.36583090103646687
13.613 * [regime-testing]: Oracle error score: 0.3318266505051505
13.617 * [regime-testing]: End program error score: 0.36583090103646687
13.684 * [regime-testing]: Target error score: 0.3674561041868607