31.902 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.067 * * * [progress]: [2/2] Setting up program.
0.071 * [progress]: [Phase 2 of 3] Improving.
0.071 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.072 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.072 * * [simplify]: iteration 0: 6 enodes
0.074 * * [simplify]: iteration 1: 11 enodes
0.077 * * [simplify]: iteration 2: 12 enodes
0.080 * * [simplify]: iteration complete: 12 enodes
0.080 * * [simplify]: Extracting #0: cost 1 inf + 0
0.080 * * [simplify]: Extracting #1: cost 4 inf + 0
0.080 * * [simplify]: Extracting #2: cost 6 inf + 0
0.080 * * [simplify]: Extracting #3: cost 4 inf + 253
0.081 * * [simplify]: Extracting #4: cost 0 inf + 735
0.081 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.086 * * [progress]: iteration 1 / 4
0.086 * * * [progress]: picking best candidate
0.091 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.091 * * * [progress]: localizing error
0.109 * * * [progress]: generating rewritten candidates
0.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.114 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.115 * * * [progress]: generating series expansions
0.115 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.115 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.115 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.115 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.115 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.116 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.116 * [taylor]: Taking taylor expansion of (atan N) in N
0.116 * [backup-simplify]: Simplify (atan N) into (atan N)
0.116 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.116 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.116 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.116 * [taylor]: Taking taylor expansion of (atan N) in N
0.116 * [backup-simplify]: Simplify (atan N) into (atan N)
0.116 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.116 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.116 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.120 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.120 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.120 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.120 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.120 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.120 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.120 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.120 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.120 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.120 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.120 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.120 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.120 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.124 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.124 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.124 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.124 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.124 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.124 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.124 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.124 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.124 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.124 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.124 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.124 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.124 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.124 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.124 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.129 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.129 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.129 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.129 * * * [progress]: simplifying candidates
0.129 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.129 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.129 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.129 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.129 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.129 * * * * [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)))))>
0.129 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.130 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.130 * * * * [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))))))>
0.130 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.130 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.130 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.130 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.130 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.130 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.130 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.130 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.130 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.130 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.130 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.130 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.130 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.130 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.130 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.130 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.130 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.130 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.130 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.130 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.130 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.131 * [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))
0.131 * * [simplify]: iteration 0: 41 enodes
0.141 * * [simplify]: iteration 1: 77 enodes
0.185 * * [simplify]: iteration 2: 151 enodes
0.244 * * [simplify]: iteration 3: 313 enodes
0.353 * * [simplify]: iteration 4: 719 enodes
0.640 * * [simplify]: iteration 5: 2000 enodes
1.069 * * [simplify]: iteration complete: 2000 enodes
1.070 * * [simplify]: Extracting #0: cost 25 inf + 0
1.070 * * [simplify]: Extracting #1: cost 161 inf + 1
1.071 * * [simplify]: Extracting #2: cost 367 inf + 4218
1.077 * * [simplify]: Extracting #3: cost 251 inf + 42923
1.093 * * [simplify]: Extracting #4: cost 102 inf + 112172
1.134 * * [simplify]: Extracting #5: cost 27 inf + 166628
1.157 * * [simplify]: Extracting #6: cost 9 inf + 171035
1.197 * * [simplify]: Extracting #7: cost 0 inf + 174257
1.223 * [simplify]: Simplified to:
  1
  (+ (+ (* N N) N) 1)
  (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 N) (atan N)) (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N)))))
  (- (atan N))
  (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan 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))
1.224 * * * [progress]: adding candidates to table
1.470 * * [progress]: iteration 2 / 4
1.470 * * * [progress]: picking best candidate
1.474 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
1.474 * * * [progress]: localizing error
1.501 * * * [progress]: generating rewritten candidates
1.501 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.502 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
1.531 * * * [progress]: generating series expansions
1.531 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.532 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.532 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
1.532 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.532 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.533 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.533 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
1.533 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.533 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.533 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.533 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.534 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.534 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.534 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
1.535 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.535 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.535 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.535 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.535 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.536 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
1.536 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N)
1.536 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0
1.536 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
1.536 * [taylor]: Taking taylor expansion of (+ N 1) in N
1.536 * [taylor]: Taking taylor expansion of N in N
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [taylor]: Taking taylor expansion of 1 in N
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [taylor]: Taking taylor expansion of N in N
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
1.536 * [taylor]: Taking taylor expansion of (+ N 1) in N
1.536 * [taylor]: Taking taylor expansion of N in N
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [taylor]: Taking taylor expansion of 1 in N
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [taylor]: Taking taylor expansion of N in N
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.537 * [backup-simplify]: Simplify (+ 0 1) into 1
1.538 * [backup-simplify]: Simplify (* 1 0) into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify (+ 1 0) into 1
1.539 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
1.539 * [backup-simplify]: Simplify 1 into 1
1.539 * [backup-simplify]: Simplify (+ 0 0) into 0
1.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
1.540 * [backup-simplify]: Simplify 1 into 1
1.541 * [backup-simplify]: Simplify (+ 0 0) into 0
1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
1.542 * [backup-simplify]: Simplify 0 into 0
1.542 * [backup-simplify]: Simplify (+ 0 0) into 0
1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1.543 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify (+ 0 0) into 0
1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
1.545 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
1.547 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify (+ 0 0) into 0
1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
1.549 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify (+ 0 0) into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
1.552 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N)
1.552 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0
1.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
1.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.552 * [taylor]: Taking taylor expansion of N in N
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (/ 1 1) into 1
1.553 * [taylor]: Taking taylor expansion of 1 in N
1.553 * [backup-simplify]: Simplify 1 into 1
1.553 * [taylor]: Taking taylor expansion of N in N
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (+ 1 0) into 1
1.554 * [backup-simplify]: Simplify (/ 1 1) into 1
1.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
1.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.554 * [taylor]: Taking taylor expansion of N in N
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 1 into 1
1.554 * [backup-simplify]: Simplify (/ 1 1) into 1
1.554 * [taylor]: Taking taylor expansion of 1 in N
1.554 * [backup-simplify]: Simplify 1 into 1
1.554 * [taylor]: Taking taylor expansion of N in N
1.554 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 1 into 1
1.555 * [backup-simplify]: Simplify (+ 1 0) into 1
1.555 * [backup-simplify]: Simplify (/ 1 1) into 1
1.555 * [backup-simplify]: Simplify 1 into 1
1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.557 * [backup-simplify]: Simplify (+ 0 1) into 1
1.558 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
1.558 * [backup-simplify]: Simplify 1 into 1
1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.559 * [backup-simplify]: Simplify (+ 0 0) into 0
1.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
1.560 * [backup-simplify]: Simplify 0 into 0
1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.560 * [backup-simplify]: Simplify (+ 0 0) into 0
1.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.561 * [backup-simplify]: Simplify 0 into 0
1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.562 * [backup-simplify]: Simplify (+ 0 0) into 0
1.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.562 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.563 * [backup-simplify]: Simplify (+ 0 0) into 0
1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.564 * [backup-simplify]: Simplify 0 into 0
1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.565 * [backup-simplify]: Simplify (+ 0 0) into 0
1.565 * [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
1.565 * [backup-simplify]: Simplify 0 into 0
1.566 * [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
1.566 * [backup-simplify]: Simplify (+ 0 0) into 0
1.567 * [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
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
1.567 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N))
1.567 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0
1.567 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
1.567 * [taylor]: Taking taylor expansion of -1 in N
1.567 * [backup-simplify]: Simplify -1 into -1
1.567 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
1.567 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
1.567 * [taylor]: Taking taylor expansion of 1 in N
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.567 * [taylor]: Taking taylor expansion of N in N
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [backup-simplify]: Simplify (/ 1 1) into 1
1.567 * [taylor]: Taking taylor expansion of N in N
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.568 * [backup-simplify]: Simplify (- 1) into -1
1.568 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.568 * [backup-simplify]: Simplify (/ -1 1) into -1
1.568 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
1.568 * [taylor]: Taking taylor expansion of -1 in N
1.568 * [backup-simplify]: Simplify -1 into -1
1.568 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
1.568 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
1.568 * [taylor]: Taking taylor expansion of 1 in N
1.568 * [backup-simplify]: Simplify 1 into 1
1.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.568 * [taylor]: Taking taylor expansion of N in N
1.568 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify 1 into 1
1.569 * [backup-simplify]: Simplify (/ 1 1) into 1
1.569 * [taylor]: Taking taylor expansion of N in N
1.569 * [backup-simplify]: Simplify 0 into 0
1.569 * [backup-simplify]: Simplify 1 into 1
1.569 * [backup-simplify]: Simplify (- 1) into -1
1.569 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.569 * [backup-simplify]: Simplify (/ -1 1) into -1
1.570 * [backup-simplify]: Simplify (* -1 -1) into 1
1.570 * [backup-simplify]: Simplify 1 into 1
1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.570 * [backup-simplify]: Simplify (- 0) into 0
1.571 * [backup-simplify]: Simplify (+ 1 0) into 1
1.571 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
1.572 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
1.572 * [backup-simplify]: Simplify -1 into -1
1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.572 * [backup-simplify]: Simplify (- 0) into 0
1.573 * [backup-simplify]: Simplify (+ 0 0) into 0
1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
1.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.575 * [backup-simplify]: Simplify (- 0) into 0
1.575 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0
1.576 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.577 * [backup-simplify]: Simplify (- 0) into 0
1.577 * [backup-simplify]: Simplify (+ 0 0) into 0
1.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
1.579 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.580 * [backup-simplify]: Simplify (- 0) into 0
1.580 * [backup-simplify]: Simplify (+ 0 0) into 0
1.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.583 * [backup-simplify]: Simplify (- 0) into 0
1.583 * [backup-simplify]: Simplify (+ 0 0) into 0
1.584 * [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
1.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0
1.586 * [backup-simplify]: Simplify 0 into 0
1.587 * [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
1.587 * [backup-simplify]: Simplify (- 0) into 0
1.588 * [backup-simplify]: Simplify (+ 0 0) into 0
1.589 * [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
1.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0
1.591 * [backup-simplify]: Simplify 0 into 0
1.591 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
1.591 * * * [progress]: simplifying candidates
1.591 * * * * [progress]: [ 1 / 36 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
1.591 * * * * [progress]: [ 2 / 36 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 3 / 36 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.592 * * * * [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))))))>
1.592 * * * * [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))))))>
1.592 * * * * [progress]: [ 6 / 36 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 7 / 36 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
1.592 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 9 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
1.592 * * * * [progress]: [ 10 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
1.592 * * * * [progress]: [ 11 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ N 1)) (log N))))))>
1.592 * * * * [progress]: [ 12 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 13 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 14 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))))))>
1.592 * * * * [progress]: [ 15 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 16 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 17 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
1.592 * * * * [progress]: [ 18 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
1.592 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))>
1.593 * * * * [progress]: [ 20 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))>
1.593 * * * * [progress]: [ 21 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))>
1.593 * * * * [progress]: [ 22 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) 1) N))))>
1.593 * * * * [progress]: [ 23 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
1.593 * * * * [progress]: [ 24 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
1.593 * * * * [progress]: [ 25 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
1.593 * * * * [progress]: [ 26 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
1.593 * * * * [progress]: [ 27 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
1.593 * * * * [progress]: [ 28 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
1.593 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (posit16->real (real->posit16 (* (+ N 1) N))))))>
1.593 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
1.593 * * * * [progress]: [ 31 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.593 * * * * [progress]: [ 32 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.593 * * * * [progress]: [ 33 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.593 * * * * [progress]: [ 34 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
1.593 * * * * [progress]: [ 35 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
1.593 * * * * [progress]: [ 36 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
1.594 * [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))
1.595 * * [simplify]: iteration 0: 55 enodes
1.618 * * [simplify]: iteration 1: 121 enodes
1.670 * * [simplify]: iteration 2: 266 enodes
1.814 * * [simplify]: iteration 3: 706 enodes
2.080 * * [simplify]: iteration 4: 2002 enodes
2.674 * * [simplify]: iteration complete: 2002 enodes
2.675 * * [simplify]: Extracting #0: cost 25 inf + 0
2.675 * * [simplify]: Extracting #1: cost 226 inf + 0
2.677 * * [simplify]: Extracting #2: cost 656 inf + 1431
2.681 * * [simplify]: Extracting #3: cost 562 inf + 17030
2.690 * * [simplify]: Extracting #4: cost 262 inf + 65696
2.725 * * [simplify]: Extracting #5: cost 21 inf + 126069
2.768 * * [simplify]: Extracting #6: cost 0 inf + 131716
2.794 * [simplify]: Simplified to:
  (log (atan2 1 (+ (* (+ 1 N) N) 1)))
  (exp (atan2 1 (+ (* (+ 1 N) N) 1)))
  (* (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))))
  (cbrt (atan2 1 (+ (* (+ 1 N) N) 1)))
  (* (atan2 1 (+ (* (+ 1 N) N) 1)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (atan2 1 (+ (* (+ 1 N) N) 1))))
  (sqrt (atan2 1 (+ (* (+ 1 N) N) 1)))
  (sqrt (atan2 1 (+ (* (+ 1 N) N) 1)))
  (real->posit16 (atan2 1 (+ (* (+ 1 N) N) 1)))
  (* (+ 1 N) N)
  (log (* (+ 1 N) N))
  (log (* (+ 1 N) N))
  (exp (* (+ 1 N) N))
  (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))
  (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N)))
  (cbrt (* (+ 1 N) N))
  (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))
  (sqrt (* (+ 1 N) N))
  (sqrt (* (+ 1 N) N))
  (* (sqrt N) (sqrt (+ 1 N)))
  (* (sqrt N) (sqrt (+ 1 N)))
  (* (* (cbrt N) (cbrt N)) (+ 1 N))
  (* (sqrt N) (+ 1 N))
  (+ 1 N)
  (* (cbrt (+ 1 N)) N)
  (* N (sqrt (+ 1 N)))
  (* (+ 1 N) N)
  (* (+ 1 N) N)
  (+ N (* (* N N) (* N N)))
  (* N (+ (* N N) -1))
  (real->posit16 (* (+ 1 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))
2.796 * * * [progress]: adding candidates to table
3.072 * * [progress]: iteration 3 / 4
3.072 * * * [progress]: picking best candidate
3.085 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.085 * * * [progress]: localizing error
3.126 * * * [progress]: generating rewritten candidates
3.126 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.128 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.130 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.141 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.142 * * * [progress]: generating series expansions
3.142 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.142 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.143 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.143 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.143 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.143 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.143 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.143 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.143 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.143 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.143 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.143 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.147 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.148 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.148 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.148 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.148 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.148 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.148 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.148 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.148 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.148 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.149 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.149 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.151 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [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
3.152 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.153 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.153 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.153 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.153 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.153 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.153 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.153 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.153 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.153 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.153 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.157 * [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
3.157 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.157 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.158 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.158 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.158 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.158 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.158 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.158 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.158 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.158 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.158 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.159 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.159 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.159 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.163 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.163 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.163 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.163 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.163 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.163 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.163 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.163 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.163 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.164 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.164 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.164 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.168 * [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
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.168 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.168 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.168 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.169 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.169 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.169 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.169 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.169 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.169 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.169 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.169 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [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
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.173 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.173 * [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)))
3.173 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
3.173 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.173 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.173 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.173 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.173 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.174 * [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)))
3.174 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
3.174 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.174 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.174 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.174 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.174 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.175 * [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)))
3.175 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
3.175 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.175 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.175 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.175 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.175 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.176 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.176 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.176 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
3.176 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.176 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.176 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.176 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.176 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.176 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.176 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
3.176 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.176 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.177 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.177 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.177 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.177 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.177 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
3.177 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.177 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.177 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.177 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.178 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.178 * * * [progress]: simplifying candidates
3.178 * * * * [progress]: [ 1 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
3.178 * * * * [progress]: [ 2 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
3.178 * * * * [progress]: [ 3 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.178 * * * * [progress]: [ 4 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.178 * * * * [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))))))))>
3.178 * * * * [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))))))))>
3.178 * * * * [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))))))))>
3.178 * * * * [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))))))))>
3.178 * * * * [progress]: [ 9 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.178 * * * * [progress]: [ 10 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
3.178 * * * * [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))))))))>
3.178 * * * * [progress]: [ 12 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.178 * * * * [progress]: [ 13 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.178 * * * * [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))))))))>
3.178 * * * * [progress]: [ 15 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [progress]: [ 16 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [progress]: [ 17 / 98 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [progress]: [ 18 / 98 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [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))))))>
3.179 * * * * [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))))))>
3.179 * * * * [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))))))>
3.179 * * * * [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))))))>
3.179 * * * * [progress]: [ 23 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [progress]: [ 24 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [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))))))>
3.179 * * * * [progress]: [ 26 / 98 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [progress]: [ 27 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.179 * * * * [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))))))>
3.179 * * * * [progress]: [ 29 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
3.179 * * * * [progress]: [ 30 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (/ 1 2))))>
3.179 * * * * [progress]: [ 31 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
3.179 * * * * [progress]: [ 32 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) 1/2)))>
3.179 * * * * [progress]: [ 33 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (/ 1 2))))>
3.179 * * * * [progress]: [ 34 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
3.179 * * * * [progress]: [ 35 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
3.179 * * * * [progress]: [ 36 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2)))>
3.179 * * * * [progress]: [ 37 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
3.179 * * * * [progress]: [ 38 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
3.179 * * * * [progress]: [ 39 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
3.179 * * * * [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))))))))>
3.179 * * * * [progress]: [ 41 / 98 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.179 * * * * [progress]: [ 42 / 98 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.179 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [progress]: [ 46 / 98 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [progress]: [ 48 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
3.180 * * * * [progress]: [ 49 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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)))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [progress]: [ 57 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [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))))))))>
3.180 * * * * [progress]: [ 62 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 1/2)))>
3.180 * * * * [progress]: [ 63 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 2 1)))>
3.180 * * * * [progress]: [ 64 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 (/ 1 2))))>
3.180 * * * * [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)))))))>
3.180 * * * * [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)))))))>
3.180 * * * * [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)))))))>
3.180 * * * * [progress]: [ 68 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.180 * * * * [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)))))))>
3.181 * * * * [progress]: [ 70 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.181 * * * * [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)))))))>
3.181 * * * * [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)))))))>
3.181 * * * * [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)))))))>
3.181 * * * * [progress]: [ 74 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.181 * * * * [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)))))))>
3.181 * * * * [progress]: [ 76 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.181 * * * * [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))))))))>
3.181 * * * * [progress]: [ 78 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.181 * * * * [progress]: [ 79 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
3.181 * * * * [progress]: [ 80 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.181 * * * * [progress]: [ 81 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.181 * * * * [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))))))))>
3.181 * * * * [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))))))))>
3.181 * * * * [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))))))))>
3.181 * * * * [progress]: [ 85 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.181 * * * * [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))))))))>
3.181 * * * * [progress]: [ 87 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.181 * * * * [progress]: [ 88 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.181 * * * * [progress]: [ 89 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.181 * * * * [progress]: [ 90 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.181 * * * * [progress]: [ 91 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.181 * * * * [progress]: [ 92 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.181 * * * * [progress]: [ 93 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
3.181 * * * * [progress]: [ 94 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
3.181 * * * * [progress]: [ 95 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
3.181 * * * * [progress]: [ 96 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.181 * * * * [progress]: [ 97 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.181 * * * * [progress]: [ 98 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.182 * [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)))
3.184 * * [simplify]: iteration 0: 65 enodes
3.198 * * [simplify]: iteration 1: 128 enodes
3.242 * * [simplify]: iteration 2: 247 enodes
3.320 * * [simplify]: iteration 3: 489 enodes
3.974 * * [simplify]: iteration 4: 1111 enodes
4.291 * * [simplify]: iteration 5: 2004 enodes
4.654 * * [simplify]: iteration complete: 2004 enodes
4.654 * * [simplify]: Extracting #0: cost 26 inf + 0
4.655 * * [simplify]: Extracting #1: cost 241 inf + 3
4.657 * * [simplify]: Extracting #2: cost 419 inf + 346
4.659 * * [simplify]: Extracting #3: cost 454 inf + 4677
4.671 * * [simplify]: Extracting #4: cost 288 inf + 83531
4.726 * * [simplify]: Extracting #5: cost 44 inf + 231730
4.798 * * [simplify]: Extracting #6: cost 0 inf + 263325
4.849 * [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))))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (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))))
  (* (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (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)))
  (* (cbrt (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 (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 (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)))
  (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
  (atan2 1 (+ (* (+ N 1) N) 1))
  (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (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))
4.855 * * * [progress]: adding candidates to table
5.688 * * [progress]: iteration 4 / 4
5.688 * * * [progress]: picking best candidate
5.698 * * * * [pick]: Picked  #<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))))))>
5.698 * * * [progress]: localizing error
5.740 * * * [progress]: generating rewritten candidates
5.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
5.741 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2)
5.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
5.742 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
5.744 * * * [progress]: generating series expansions
5.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
5.744 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
5.744 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in (N) around 0
5.744 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
5.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
5.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
5.744 * [taylor]: Taking taylor expansion of 1/3 in N
5.744 * [backup-simplify]: Simplify 1/3 into 1/3
5.744 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.744 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.744 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.744 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
5.744 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
5.744 * [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)
5.744 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
5.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
5.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
5.744 * [taylor]: Taking taylor expansion of 1/3 in N
5.744 * [backup-simplify]: Simplify 1/3 into 1/3
5.744 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.744 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.745 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.745 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
5.745 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
5.745 * [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)
5.745 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
5.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
5.747 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.747 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.747 * [backup-simplify]: Simplify 0 into 0
5.748 * [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
5.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
5.750 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.750 * [backup-simplify]: Simplify 0 into 0
5.752 * [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
5.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
5.754 * [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
5.755 * [backup-simplify]: Simplify 0 into 0
5.758 * [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
5.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
5.760 * [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
5.760 * [backup-simplify]: Simplify 0 into 0
5.765 * [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
5.767 * [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
5.769 * [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
5.769 * [backup-simplify]: Simplify 0 into 0
5.777 * [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
5.779 * [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
5.784 * [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
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
5.785 * [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)
5.785 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in (N) around 0
5.785 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
5.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
5.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
5.785 * [taylor]: Taking taylor expansion of 1/3 in N
5.785 * [backup-simplify]: Simplify 1/3 into 1/3
5.785 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.785 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.785 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.785 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.786 * [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)))))
5.786 * [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)
5.786 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
5.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
5.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
5.786 * [taylor]: Taking taylor expansion of 1/3 in N
5.786 * [backup-simplify]: Simplify 1/3 into 1/3
5.786 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.786 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.786 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.786 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.786 * [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)))))
5.787 * [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)
5.787 * [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)
5.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
5.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.790 * [backup-simplify]: Simplify 0 into 0
5.791 * [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
5.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
5.794 * [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
5.794 * [backup-simplify]: Simplify 0 into 0
5.797 * [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
5.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
5.800 * [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
5.800 * [backup-simplify]: Simplify 0 into 0
5.805 * [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
5.806 * [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
5.809 * [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
5.809 * [backup-simplify]: Simplify 0 into 0
5.817 * [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
5.819 * [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
5.822 * [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
5.823 * [backup-simplify]: Simplify 0 into 0
5.835 * [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
5.836 * [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
5.840 * [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
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [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)
5.840 * [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)
5.840 * [approximate]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in (N) around 0
5.840 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
5.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
5.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
5.840 * [taylor]: Taking taylor expansion of 1/3 in N
5.840 * [backup-simplify]: Simplify 1/3 into 1/3
5.840 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.840 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.840 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.840 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.840 * [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)))))
5.841 * [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)
5.841 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
5.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
5.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
5.841 * [taylor]: Taking taylor expansion of 1/3 in N
5.841 * [backup-simplify]: Simplify 1/3 into 1/3
5.841 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.841 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.841 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.841 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.841 * [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)))))
5.841 * [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)
5.841 * [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)
5.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
5.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.845 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.845 * [backup-simplify]: Simplify 0 into 0
5.846 * [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
5.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
5.848 * [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
5.848 * [backup-simplify]: Simplify 0 into 0
5.850 * [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
5.850 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
5.851 * [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
5.852 * [backup-simplify]: Simplify 0 into 0
5.855 * [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
5.856 * [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
5.857 * [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
5.857 * [backup-simplify]: Simplify 0 into 0
5.862 * [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
5.864 * [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
5.866 * [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
5.866 * [backup-simplify]: Simplify 0 into 0
5.877 * [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
5.879 * [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
5.882 * [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
5.882 * [backup-simplify]: Simplify 0 into 0
5.882 * [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)
5.882 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2)
5.883 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
5.883 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in (N) around 0
5.883 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
5.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
5.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
5.883 * [taylor]: Taking taylor expansion of 1/3 in N
5.883 * [backup-simplify]: Simplify 1/3 into 1/3
5.883 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.883 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.883 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.883 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
5.883 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
5.883 * [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)
5.883 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
5.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
5.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
5.883 * [taylor]: Taking taylor expansion of 1/3 in N
5.883 * [backup-simplify]: Simplify 1/3 into 1/3
5.883 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.883 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.883 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.883 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
5.884 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
5.884 * [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)
5.884 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
5.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
5.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.885 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.886 * [backup-simplify]: Simplify 0 into 0
5.887 * [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
5.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
5.888 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.888 * [backup-simplify]: Simplify 0 into 0
5.890 * [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
5.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
5.892 * [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
5.892 * [backup-simplify]: Simplify 0 into 0
5.895 * [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
5.896 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
5.898 * [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
5.898 * [backup-simplify]: Simplify 0 into 0
5.903 * [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
5.904 * [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
5.906 * [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
5.906 * [backup-simplify]: Simplify 0 into 0
5.918 * [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
5.920 * [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
5.926 * [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
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
5.927 * [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)
5.927 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in (N) around 0
5.927 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
5.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
5.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
5.927 * [taylor]: Taking taylor expansion of 1/3 in N
5.927 * [backup-simplify]: Simplify 1/3 into 1/3
5.927 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.927 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.927 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.927 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.928 * [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)))))
5.928 * [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)
5.928 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
5.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
5.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
5.928 * [taylor]: Taking taylor expansion of 1/3 in N
5.928 * [backup-simplify]: Simplify 1/3 into 1/3
5.928 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.928 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.928 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.928 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.929 * [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)))))
5.929 * [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)
5.929 * [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)
5.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
5.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.932 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.932 * [backup-simplify]: Simplify 0 into 0
5.934 * [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
5.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
5.937 * [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
5.937 * [backup-simplify]: Simplify 0 into 0
5.940 * [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
5.943 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
5.945 * [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
5.945 * [backup-simplify]: Simplify 0 into 0
5.948 * [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
5.949 * [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
5.951 * [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
5.951 * [backup-simplify]: Simplify 0 into 0
5.956 * [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
5.957 * [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
5.960 * [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
5.960 * [backup-simplify]: Simplify 0 into 0
5.968 * [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
5.969 * [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
5.973 * [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
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [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)
5.973 * [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)
5.973 * [approximate]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in (N) around 0
5.973 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
5.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
5.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
5.973 * [taylor]: Taking taylor expansion of 1/3 in N
5.973 * [backup-simplify]: Simplify 1/3 into 1/3
5.973 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.973 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.975 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.975 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.975 * [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)))))
5.975 * [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)
5.975 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
5.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
5.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
5.975 * [taylor]: Taking taylor expansion of 1/3 in N
5.975 * [backup-simplify]: Simplify 1/3 into 1/3
5.975 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.975 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.976 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.976 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.976 * [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)))))
5.976 * [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)
5.976 * [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)
5.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
5.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.978 * [backup-simplify]: Simplify 0 into 0
5.980 * [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
5.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
5.981 * [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
5.981 * [backup-simplify]: Simplify 0 into 0
5.983 * [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
5.984 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
5.985 * [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
5.985 * [backup-simplify]: Simplify 0 into 0
5.988 * [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
5.989 * [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
5.991 * [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
5.991 * [backup-simplify]: Simplify 0 into 0
5.999 * [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
6.001 * [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
6.005 * [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
6.005 * [backup-simplify]: Simplify 0 into 0
6.017 * [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
6.021 * [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
6.027 * [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
6.027 * [backup-simplify]: Simplify 0 into 0
6.028 * [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)
6.028 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
6.028 * [backup-simplify]: Simplify (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
6.028 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in (N) around 0
6.028 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
6.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
6.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
6.028 * [taylor]: Taking taylor expansion of 1/3 in N
6.028 * [backup-simplify]: Simplify 1/3 into 1/3
6.028 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.028 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.028 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.028 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
6.029 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
6.029 * [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)
6.029 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) in N
6.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) in N
6.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) in N
6.029 * [taylor]: Taking taylor expansion of 1/3 in N
6.029 * [backup-simplify]: Simplify 1/3 into 1/3
6.029 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.029 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.029 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.029 * [backup-simplify]: Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
6.030 * [backup-simplify]: Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
6.030 * [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)
6.030 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
6.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
6.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.033 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.033 * [backup-simplify]: Simplify 0 into 0
6.035 * [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
6.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
6.037 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.037 * [backup-simplify]: Simplify 0 into 0
6.041 * [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
6.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
6.044 * [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
6.044 * [backup-simplify]: Simplify 0 into 0
6.048 * [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
6.051 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
6.052 * [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
6.052 * [backup-simplify]: Simplify 0 into 0
6.057 * [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
6.058 * [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
6.060 * [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
6.061 * [backup-simplify]: Simplify 0 into 0
6.068 * [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
6.070 * [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
6.073 * [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
6.073 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
6.073 * [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)
6.073 * [approximate]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in (N) around 0
6.073 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
6.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
6.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
6.073 * [taylor]: Taking taylor expansion of 1/3 in N
6.073 * [backup-simplify]: Simplify 1/3 into 1/3
6.073 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.073 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.073 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.074 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.074 * [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)))))
6.074 * [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)
6.074 * [taylor]: Taking taylor expansion of (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) in N
6.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) in N
6.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N
6.074 * [taylor]: Taking taylor expansion of 1/3 in N
6.074 * [backup-simplify]: Simplify 1/3 into 1/3
6.074 * [taylor]: Taking taylor expansion of (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.074 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.074 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.074 * [backup-simplify]: Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.074 * [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)))))
6.075 * [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)
6.075 * [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)
6.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
6.076 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.077 * [backup-simplify]: Simplify 0 into 0
6.079 * [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
6.079 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
6.080 * [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
6.080 * [backup-simplify]: Simplify 0 into 0
6.083 * [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
6.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
6.085 * [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
6.085 * [backup-simplify]: Simplify 0 into 0
6.088 * [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
6.089 * [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
6.091 * [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
6.091 * [backup-simplify]: Simplify 0 into 0
6.096 * [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
6.097 * [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
6.099 * [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
6.099 * [backup-simplify]: Simplify 0 into 0
6.107 * [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
6.108 * [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
6.111 * [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
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [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)
6.112 * [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)
6.112 * [approximate]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in (N) around 0
6.112 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
6.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
6.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
6.112 * [taylor]: Taking taylor expansion of 1/3 in N
6.112 * [backup-simplify]: Simplify 1/3 into 1/3
6.112 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.112 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.112 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.112 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.112 * [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)))))
6.112 * [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)
6.112 * [taylor]: Taking taylor expansion of (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) in N
6.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) in N
6.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N
6.112 * [taylor]: Taking taylor expansion of 1/3 in N
6.112 * [backup-simplify]: Simplify 1/3 into 1/3
6.112 * [taylor]: Taking taylor expansion of (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.112 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.113 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.113 * [backup-simplify]: Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.113 * [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)))))
6.113 * [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)
6.113 * [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)
6.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
6.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.115 * [backup-simplify]: Simplify 0 into 0
6.116 * [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
6.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
6.117 * [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
6.117 * [backup-simplify]: Simplify 0 into 0
6.119 * [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
6.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
6.121 * [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
6.121 * [backup-simplify]: Simplify 0 into 0
6.124 * [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
6.125 * [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
6.127 * [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
6.127 * [backup-simplify]: Simplify 0 into 0
6.133 * [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
6.134 * [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
6.136 * [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
6.137 * [backup-simplify]: Simplify 0 into 0
6.144 * [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
6.146 * [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
6.149 * [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
6.149 * [backup-simplify]: Simplify 0 into 0
6.150 * [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)
6.150 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
6.150 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.150 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
6.150 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.150 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.150 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.150 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.150 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.150 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.150 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.150 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.151 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.151 * [backup-simplify]: Simplify 0 into 0
6.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.151 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.152 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.153 * [backup-simplify]: Simplify 0 into 0
6.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.154 * [backup-simplify]: Simplify 0 into 0
6.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.154 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
6.154 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.154 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.154 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.155 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.155 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.155 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.155 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.155 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.155 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.156 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.157 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [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
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.159 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.159 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
6.159 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.159 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.159 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.159 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.159 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.159 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.159 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.159 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.160 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.160 * [backup-simplify]: Simplify 0 into 0
6.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.161 * [backup-simplify]: Simplify 0 into 0
6.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.161 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.164 * [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
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.164 * * * [progress]: simplifying candidates
6.164 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (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))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (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))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (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))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 8 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #<alt (λ (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))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.164 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.165 * * * * [progress]: [ 36 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 37 / 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)))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
6.166 * * * * [progress]: [ 38 / 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)))))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
6.166 * * * * [progress]: [ 39 / 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)))))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [progress]: [ 40 / 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)))))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [progress]: [ 41 / 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)))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [progress]: [ 42 / 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)))))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [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))))))))>
6.166 * * * * [progress]: [ 44 / 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [progress]: [ 45 / 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 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.166 * * * * [progress]: [ 46 / 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)))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
6.166 * * * * [progress]: [ 47 / 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [progress]: [ 48 / 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)))))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.166 * * * * [progress]: [ 49 / 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)))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.166 * * * * [progress]: [ 50 / 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)))))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.166 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (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))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (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))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (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))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.166 * * * * [progress]: [ 60 / 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 (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.166 * * * * [progress]: [ 61 / 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 (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.166 * * * * [progress]: [ 62 / 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 (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.167 * [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))))
6.168 * * [simplify]: iteration 0: 37 enodes
6.175 * * [simplify]: iteration 1: 59 enodes
6.185 * * [simplify]: iteration 2: 87 enodes
6.200 * * [simplify]: iteration 3: 156 enodes
6.239 * * [simplify]: iteration 4: 416 enodes
6.352 * * [simplify]: iteration 5: 1294 enodes
6.560 * * [simplify]: iteration 6: 2009 enodes
6.813 * * [simplify]: iteration complete: 2009 enodes
6.813 * * [simplify]: Extracting #0: cost 20 inf + 0
6.813 * * [simplify]: Extracting #1: cost 126 inf + 2
6.814 * * [simplify]: Extracting #2: cost 461 inf + 90
6.817 * * [simplify]: Extracting #3: cost 516 inf + 8657
6.835 * * [simplify]: Extracting #4: cost 201 inf + 188040
6.875 * * [simplify]: Extracting #5: cost 22 inf + 323678
6.921 * * [simplify]: Extracting #6: cost 0 inf + 343136
6.967 * [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)))
6.973 * * * [progress]: adding candidates to table
7.503 * [progress]: [Phase 3 of 3] Extracting.
7.503 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))))))> #<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))))))> #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
7.504 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N)
7.504 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))))))> #<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))))))> #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
7.534 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))))))> #<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))))))> #<alt (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
7.562 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
7.562 * [simplify]: Simplifying:
  (atan2 1 (+ 1 (* (+ N 1) N)))
7.562 * * [simplify]: iteration 0: 6 enodes
7.563 * * [simplify]: iteration 1: 11 enodes
7.563 * * [simplify]: iteration complete: 11 enodes
7.563 * * [simplify]: Extracting #0: cost 1 inf + 0
7.563 * * [simplify]: Extracting #1: cost 3 inf + 0
7.563 * * [simplify]: Extracting #2: cost 3 inf + 1
7.563 * * [simplify]: Extracting #3: cost 5 inf + 1
7.563 * * [simplify]: Extracting #4: cost 0 inf + 510
7.563 * [simplify]: Simplified to:
  (atan2 1 (+ (* (+ N 1) N) 1))
9.157 * [regime-testing]: Baseline error score: 0.36583090103646687
9.159 * [regime-testing]: Oracle error score: 0.33195166613210386
9.163 * [regime-testing]: End program error score: 0.36583090103646687
9.200 * [regime-testing]: Target error score: 0.3674561041868607