22.165 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.060 * * * [progress]: [2/2] Setting up program.
0.065 * [progress]: [Phase 2 of 3] Improving.
0.065 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.065 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.065 * * [simplify]: iteration 0: 6 enodes
0.067 * * [simplify]: iteration 1: 11 enodes
0.069 * * [simplify]: iteration 2: 12 enodes
0.072 * * [simplify]: iteration complete: 12 enodes
0.072 * * [simplify]: Extracting #0: cost 1 inf + 0
0.072 * * [simplify]: Extracting #1: cost 4 inf + 0
0.072 * * [simplify]: Extracting #2: cost 6 inf + 0
0.072 * * [simplify]: Extracting #3: cost 4 inf + 253
0.072 * * [simplify]: Extracting #4: cost 0 inf + 735
0.072 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.073 * * [progress]: iteration 1 / 4
0.073 * * * [progress]: picking best candidate
0.090 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.090 * * * [progress]: localizing error
0.107 * * * [progress]: generating rewritten candidates
0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.114 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.118 * * * [progress]: generating series expansions
0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.118 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.118 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.118 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.118 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.120 * [taylor]: Taking taylor expansion of (atan N) in N
0.120 * [backup-simplify]: Simplify (atan N) into (atan N)
0.120 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.120 * [taylor]: Taking taylor expansion of (atan N) in N
0.120 * [backup-simplify]: Simplify (atan N) into (atan N)
0.120 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.120 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.120 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan 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
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [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 (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [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
0.125 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.125 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.125 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.125 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.125 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.125 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.125 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.125 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.125 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.126 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.126 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.126 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
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
0.127 * [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 (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 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 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.129 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.129 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.129 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in 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 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.129 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.129 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in 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 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.129 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.129 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.130 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.130 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.133 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.133 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.133 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.133 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.133 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.133 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.133 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.133 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.133 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.133 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.133 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.134 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.134 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.134 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.134 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.134 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.134 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.135 * * * [progress]: simplifying candidates
0.135 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.135 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.135 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.135 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.135 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.135 * * * * [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)))))>
0.135 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.135 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.135 * * * * [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))))))>
0.135 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.135 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.135 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.135 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.135 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.135 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.135 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.135 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.135 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.135 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.135 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.135 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.135 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.135 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.135 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.135 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.135 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.136 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.136 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.136 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.136 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.136 * [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))
0.136 * * [simplify]: iteration 0: 41 enodes
0.142 * * [simplify]: iteration 1: 77 enodes
0.153 * * [simplify]: iteration 2: 153 enodes
0.202 * * [simplify]: iteration 3: 385 enodes
0.325 * * [simplify]: iteration 4: 1124 enodes
0.883 * * [simplify]: iteration 5: 4138 enodes
1.768 * * [simplify]: iteration complete: 5001 enodes
1.768 * * [simplify]: Extracting #0: cost 25 inf + 0
1.769 * * [simplify]: Extracting #1: cost 292 inf + 1
1.772 * * [simplify]: Extracting #2: cost 946 inf + 5324
1.788 * * [simplify]: Extracting #3: cost 811 inf + 91432
1.869 * * [simplify]: Extracting #4: cost 339 inf + 393448
1.930 * * [simplify]: Extracting #5: cost 113 inf + 509246
1.994 * * [simplify]: Extracting #6: cost 13 inf + 547943
2.059 * * [simplify]: Extracting #7: cost 0 inf + 552597
2.124 * [simplify]: Simplified to:
  1
  (+ 1 (+ N (* N N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (log (- (atan (+ 1 N)) (atan N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
  (cbrt (- (atan (+ 1 N)) (atan N)))
  (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N))))
  (+ (* (+ (atan N) (atan (+ 1 N))) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N))))
  (- (atan N))
  (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N))))
  (+ (atan N) (atan (+ 1 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
  (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ 1 N)) (atan N)))
  (log (atan (+ 1 N)))
  (exp (atan (+ 1 N)))
  (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
  (cbrt (atan (+ 1 N)))
  (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (real->posit16 (atan (+ 1 N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (atan (+ 1 N))
  (atan (+ 1 N))
  (atan (+ 1 N))
2.125 * * * [progress]: adding candidates to table
2.203 * * [progress]: iteration 2 / 4
2.203 * * * [progress]: picking best candidate
2.205 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
2.205 * * * [progress]: localizing error
2.217 * * * [progress]: generating rewritten candidates
2.217 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
2.498 * * * [progress]: generating series expansions
2.498 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.499 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.499 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
2.499 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.499 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.499 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.499 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.499 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.499 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.499 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
2.499 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.500 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.500 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.500 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.500 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.500 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.500 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
2.500 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.500 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.500 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.501 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.501 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.501 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
2.501 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N)
2.501 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0
2.501 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.501 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.501 * [taylor]: Taking taylor expansion of N in N
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of 1 in N
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of N in N
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.501 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.501 * [taylor]: Taking taylor expansion of N in N
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of 1 in N
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of N in N
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (+ 0 1) into 1
2.503 * [backup-simplify]: Simplify (* 1 0) into 0
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (+ 1 0) into 1
2.503 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
2.503 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
2.504 * [backup-simplify]: Simplify 1 into 1
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify (+ 0 0) into 0
2.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
2.511 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N)
2.511 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0
2.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.511 * [taylor]: Taking taylor expansion of N in N
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (/ 1 1) into 1
2.512 * [taylor]: Taking taylor expansion of 1 in N
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [taylor]: Taking taylor expansion of N in N
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (+ 1 0) into 1
2.512 * [backup-simplify]: Simplify (/ 1 1) into 1
2.512 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.512 * [taylor]: Taking taylor expansion of N in N
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (/ 1 1) into 1
2.513 * [taylor]: Taking taylor expansion of 1 in N
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [taylor]: Taking taylor expansion of N in N
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (+ 1 0) into 1
2.513 * [backup-simplify]: Simplify (/ 1 1) into 1
2.513 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify (+ 0 1) into 1
2.514 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
2.514 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (+ 0 0) into 0
2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
2.523 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N))
2.523 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0
2.523 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.523 * [taylor]: Taking taylor expansion of -1 in N
2.523 * [backup-simplify]: Simplify -1 into -1
2.523 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.523 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.523 * [taylor]: Taking taylor expansion of 1 in N
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.523 * [taylor]: Taking taylor expansion of N in N
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [backup-simplify]: Simplify (/ 1 1) into 1
2.523 * [taylor]: Taking taylor expansion of N in N
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (- 1) into -1
2.524 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.524 * [backup-simplify]: Simplify (/ -1 1) into -1
2.524 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.524 * [taylor]: Taking taylor expansion of -1 in N
2.524 * [backup-simplify]: Simplify -1 into -1
2.524 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.524 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.524 * [taylor]: Taking taylor expansion of 1 in N
2.524 * [backup-simplify]: Simplify 1 into 1
2.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.524 * [taylor]: Taking taylor expansion of N in N
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.525 * [backup-simplify]: Simplify (/ 1 1) into 1
2.525 * [taylor]: Taking taylor expansion of N in N
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 1 into 1
2.525 * [backup-simplify]: Simplify (- 1) into -1
2.525 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.525 * [backup-simplify]: Simplify (/ -1 1) into -1
2.526 * [backup-simplify]: Simplify (* -1 -1) into 1
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (- 0) into 0
2.527 * [backup-simplify]: Simplify (+ 1 0) into 1
2.527 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
2.528 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.528 * [backup-simplify]: Simplify -1 into -1
2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.529 * [backup-simplify]: Simplify (- 0) into 0
2.529 * [backup-simplify]: Simplify (+ 0 0) into 0
2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.530 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (- 0) into 0
2.531 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify (- 0) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (- 0) into 0
2.536 * [backup-simplify]: Simplify (+ 0 0) into 0
2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.538 * [backup-simplify]: Simplify (- 0) into 0
2.539 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.541 * [backup-simplify]: Simplify (- 0) into 0
2.542 * [backup-simplify]: Simplify (+ 0 0) into 0
2.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.543 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
2.544 * * * [progress]: simplifying candidates
2.544 * * * * [progress]: [ 1 / 36 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
2.544 * * * * [progress]: [ 2 / 36 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 3 / 36 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 4 / 36 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 5 / 36 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 6 / 36 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 7 / 36 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
2.544 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 9 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.544 * * * * [progress]: [ 10 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.544 * * * * [progress]: [ 11 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ N 1)) (log N))))))>
2.544 * * * * [progress]: [ 12 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 13 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 14 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))))))>
2.544 * * * * [progress]: [ 15 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 16 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 17 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
2.544 * * * * [progress]: [ 18 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.544 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))>
2.544 * * * * [progress]: [ 20 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))>
2.544 * * * * [progress]: [ 21 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))>
2.544 * * * * [progress]: [ 22 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) 1) N))))>
2.544 * * * * [progress]: [ 23 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
2.545 * * * * [progress]: [ 24 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
2.545 * * * * [progress]: [ 25 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.545 * * * * [progress]: [ 26 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.545 * * * * [progress]: [ 27 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
2.545 * * * * [progress]: [ 28 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
2.545 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (posit16->real (real->posit16 (* (+ N 1) N))))))>
2.545 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
2.545 * * * * [progress]: [ 31 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.545 * * * * [progress]: [ 32 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.545 * * * * [progress]: [ 33 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.545 * * * * [progress]: [ 34 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.545 * * * * [progress]: [ 35 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.545 * * * * [progress]: [ 36 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.545 * [simplify]: Simplifying:
  (log (atan2 1 (+ 1 (* (+ N 1) N))))
  (exp (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
  (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
  (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))
  (* (+ N 1) N)
  (+ (log (+ N 1)) (log N))
  (log (* (+ N 1) N))
  (exp (* (+ N 1) N))
  (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))
  (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))
  (cbrt (* (+ N 1) N))
  (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))
  (sqrt (* (+ N 1) N))
  (sqrt (* (+ N 1) N))
  (* (sqrt (+ N 1)) (sqrt N))
  (* (sqrt (+ N 1)) (sqrt N))
  (* (+ N 1) (* (cbrt N) (cbrt N)))
  (* (+ N 1) (sqrt N))
  (* (+ N 1) 1)
  (* (cbrt (+ N 1)) N)
  (* (sqrt (+ N 1)) N)
  (* (+ N 1) N)
  (* (+ N 1) N)
  (* (+ (pow N 3) (pow 1 3)) N)
  (* (- (* N N) (* 1 1)) N)
  (real->posit16 (* (+ N 1) N))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (atan2 1 (+ N (+ (pow N 2) 1)))
  (+ N (pow N 2))
  (+ N (pow N 2))
  (+ N (pow N 2))
2.546 * * [simplify]: iteration 0: 55 enodes
2.556 * * [simplify]: iteration 1: 131 enodes
2.616 * * [simplify]: iteration 2: 770 enodes
2.812 * * [simplify]: iteration complete: 5001 enodes
2.812 * * [simplify]: Extracting #0: cost 25 inf + 0
2.813 * * [simplify]: Extracting #1: cost 765 inf + 0
2.819 * * [simplify]: Extracting #2: cost 2017 inf + 19279
2.847 * * [simplify]: Extracting #3: cost 938 inf + 179790
2.893 * * [simplify]: Extracting #4: cost 118 inf + 282582
2.939 * * [simplify]: Extracting #5: cost 3 inf + 300828
2.987 * * [simplify]: Extracting #6: cost 0 inf + 301586
3.031 * [simplify]: Simplified to:
  (log (atan2 1 (+ (+ N (* N N)) 1)))
  (exp (atan2 1 (+ (+ N (* N N)) 1)))
  (* (cbrt (atan2 1 (+ (+ N (* N N)) 1))) (cbrt (atan2 1 (+ (+ N (* N N)) 1))))
  (cbrt (atan2 1 (+ (+ N (* N N)) 1)))
  (* (atan2 1 (+ (+ N (* N N)) 1)) (* (atan2 1 (+ (+ N (* N N)) 1)) (atan2 1 (+ (+ N (* N N)) 1))))
  (sqrt (atan2 1 (+ (+ N (* N N)) 1)))
  (sqrt (atan2 1 (+ (+ N (* N N)) 1)))
  (real->posit16 (atan2 1 (+ (+ N (* N N)) 1)))
  (+ N (* N N))
  (log (+ N (* N N)))
  (log (+ N (* N N)))
  (exp (+ N (* N N)))
  (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))
  (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))
  (cbrt (+ N (* N N)))
  (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))
  (sqrt (+ N (* N N)))
  (sqrt (+ N (* N N)))
  (* (sqrt N) (sqrt (+ N 1)))
  (* (sqrt N) (sqrt (+ N 1)))
  (+ (* (cbrt N) (cbrt N)) (* (* (cbrt N) (cbrt N)) N))
  (+ (* (sqrt N) N) (sqrt N))
  (+ N 1)
  (* (cbrt (+ N 1)) N)
  (* (sqrt (+ N 1)) N)
  (+ N (* N N))
  (+ N (* N N))
  (+ N (* N (* N (* N N))))
  (* N (- (* N N) 1))
  (real->posit16 (+ N (* N N)))
  (atan2 1 (+ 1 (+ N (* N N))))
  (atan2 1 (+ 1 (+ N (* N N))))
  (atan2 1 (+ 1 (+ N (* N N))))
  (+ N (* N N))
  (+ N (* N N))
  (+ N (* N N))
3.033 * * * [progress]: adding candidates to table
3.123 * * [progress]: iteration 3 / 4
3.123 * * * [progress]: picking best candidate
3.131 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.131 * * * [progress]: localizing error
3.149 * * * [progress]: generating rewritten candidates
3.149 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
3.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
3.152 * * * [progress]: generating series expansions
3.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.152 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.152 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.152 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.152 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.152 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.152 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.152 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.152 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.152 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.152 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.153 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.157 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.157 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.157 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.157 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.157 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.157 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.157 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.157 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.157 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.157 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.158 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.159 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.161 * [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
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.161 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.161 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.161 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.161 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.162 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.162 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.162 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.162 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.162 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.162 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.163 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [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
3.165 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.166 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.166 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.166 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.166 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.166 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.166 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.166 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.166 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.167 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.168 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.170 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.170 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.170 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.170 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.171 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.171 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.171 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.171 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [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
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.175 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.175 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in 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 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in 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 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.176 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.179 * [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
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.179 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
3.179 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.179 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
3.179 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.179 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.179 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.179 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.180 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.180 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.180 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
3.180 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.180 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.180 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.180 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.180 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.181 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.181 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
3.181 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.184 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.184 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.185 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.185 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.185 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
3.185 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.185 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
3.185 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.185 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.185 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.186 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.186 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
3.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.186 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.186 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.187 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.187 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.187 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
3.187 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.187 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.187 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.187 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.187 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.188 * * * [progress]: simplifying candidates
3.188 * * * * [progress]: [ 1 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
3.188 * * * * [progress]: [ 2 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
3.188 * * * * [progress]: [ 3 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.188 * * * * [progress]: [ 4 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.188 * * * * [progress]: [ 5 / 56 ] 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))))))))>
3.188 * * * * [progress]: [ 6 / 56 ] 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))))))))>
3.188 * * * * [progress]: [ 7 / 56 ] 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))))))))>
3.188 * * * * [progress]: [ 8 / 56 ] 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))))))))>
3.188 * * * * [progress]: [ 9 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.188 * * * * [progress]: [ 10 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
3.188 * * * * [progress]: [ 11 / 56 ] 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))))))))>
3.188 * * * * [progress]: [ 12 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.188 * * * * [progress]: [ 13 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.188 * * * * [progress]: [ 14 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.188 * * * * [progress]: [ 15 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.188 * * * * [progress]: [ 16 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.188 * * * * [progress]: [ 17 / 56 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 18 / 56 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 19 / 56 ] 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))))))>
3.189 * * * * [progress]: [ 20 / 56 ] 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))))))>
3.189 * * * * [progress]: [ 21 / 56 ] 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))))))>
3.189 * * * * [progress]: [ 22 / 56 ] 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))))))>
3.189 * * * * [progress]: [ 23 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 24 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 25 / 56 ] 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))))))>
3.189 * * * * [progress]: [ 26 / 56 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 27 / 56 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 28 / 56 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 29 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
3.189 * * * * [progress]: [ 30 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.189 * * * * [progress]: [ 31 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.189 * * * * [progress]: [ 32 / 56 ] 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))))))))>
3.189 * * * * [progress]: [ 33 / 56 ] 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))))))))>
3.189 * * * * [progress]: [ 34 / 56 ] 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))))))))>
3.189 * * * * [progress]: [ 35 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.189 * * * * [progress]: [ 36 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.189 * * * * [progress]: [ 37 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 38 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 39 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 40 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (* (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))))))>
3.189 * * * * [progress]: [ 41 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (cbrt (* (* (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))))))>
3.189 * * * * [progress]: [ 42 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.189 * * * * [progress]: [ 43 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 44 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 45 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.190 * * * * [progress]: [ 46 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.190 * * * * [progress]: [ 47 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.190 * * * * [progress]: [ 48 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 49 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 50 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 51 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.190 * * * * [progress]: [ 52 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.190 * * * * [progress]: [ 53 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.190 * * * * [progress]: [ 54 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 55 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * * * * [progress]: [ 56 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.190 * [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)))))
  (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))))
  (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)))
3.191 * * [simplify]: iteration 0: 32 enodes
3.197 * * [simplify]: iteration 1: 52 enodes
3.205 * * [simplify]: iteration 2: 129 enodes
3.227 * * [simplify]: iteration 3: 333 enodes
3.293 * * [simplify]: iteration 4: 944 enodes
3.760 * * [simplify]: iteration 5: 3194 enodes
4.307 * * [simplify]: iteration complete: 5002 enodes
4.307 * * [simplify]: Extracting #0: cost 19 inf + 0
4.308 * * [simplify]: Extracting #1: cost 127 inf + 2
4.309 * * [simplify]: Extracting #2: cost 772 inf + 173
4.315 * * [simplify]: Extracting #3: cost 1599 inf + 6473
4.334 * * [simplify]: Extracting #4: cost 242 inf + 131551
4.368 * * [simplify]: Extracting #5: cost 34 inf + 204583
4.398 * * [simplify]: Extracting #6: cost 0 inf + 225923
4.429 * [simplify]: Simplified to:
  (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))))
  (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  1
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (real->posit16 (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))))
  (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  1
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (real->posit16 (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (log (atan2 1 (+ (* N N) (+ 1 N))))
  (exp (atan2 1 (+ (* N N) (+ 1 N))))
  (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (cbrt (atan2 1 (+ (* N N) (+ 1 N))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (real->posit16 (atan2 1 (+ (* N N) (+ 1 N))))
  (log (atan2 1 (+ (* N N) (+ 1 N))))
  (exp (atan2 1 (+ (* N N) (+ 1 N))))
  (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (cbrt (atan2 1 (+ (* N N) (+ 1 N))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (real->posit16 (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
4.433 * * * [progress]: adding candidates to table
4.586 * * [progress]: iteration 4 / 4
4.586 * * * [progress]: picking best candidate
4.596 * * * * [pick]: Picked  #<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))))))>
4.596 * * * [progress]: localizing error
4.620 * * * [progress]: generating rewritten candidates
4.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
4.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
4.623 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
4.623 * * * [progress]: generating series expansions
4.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.623 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.623 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
4.623 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
4.623 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.624 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.624 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.624 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
4.624 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.624 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.624 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.624 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.624 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.625 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.626 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.627 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.628 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.628 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
4.628 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
4.628 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.628 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.628 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.628 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
4.628 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.629 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.629 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.629 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.629 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [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
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.633 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.633 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
4.633 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
4.633 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.633 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.633 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.633 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
4.633 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.633 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.633 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.634 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.635 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.636 * [backup-simplify]: Simplify 0 into 0
4.637 * [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
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
4.637 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.637 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
4.637 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
4.637 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.638 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.638 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.638 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
4.638 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.638 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.638 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.638 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.638 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.640 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.641 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.641 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.642 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.642 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
4.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
4.642 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.642 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.642 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
4.642 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.642 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.642 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.643 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.644 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.646 * [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
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.646 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.646 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
4.646 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
4.646 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.647 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.647 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.647 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
4.647 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.647 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.647 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.647 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.647 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.649 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.650 * [backup-simplify]: Simplify 0 into 0
4.651 * [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
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.651 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
4.651 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.651 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
4.651 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
4.651 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.651 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.652 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.652 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
4.652 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.652 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.652 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.652 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.652 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.653 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.654 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
4.655 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.656 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.656 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
4.656 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
4.656 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.656 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.656 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.656 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
4.656 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.656 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.656 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.657 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
4.657 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.657 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
4.659 * [backup-simplify]: Simplify 0 into 0
4.660 * [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
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.660 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.660 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
4.660 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
4.660 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.661 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.661 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
4.661 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.661 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
4.661 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.663 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.665 * [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
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.665 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.665 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
4.665 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.666 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.666 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
4.666 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.666 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.666 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.666 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
4.666 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.666 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.666 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
4.666 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.667 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.667 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.667 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
4.667 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.667 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.667 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
4.667 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.667 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
4.668 * * * [progress]: simplifying candidates
4.668 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
4.668 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
4.668 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.668 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.668 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (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))))))))>
4.668 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (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))))))))>
4.668 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.668 * * * * [progress]: [ 8 / 62 ] 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))))))))>
4.668 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (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)))))))>
4.668 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
4.668 * * * * [progress]: [ 11 / 62 ] 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))))))))>
4.668 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.668 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.668 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.668 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.668 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.668 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.668 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (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))))))>
4.669 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (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))))))>
4.669 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (cbrt (* (* (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))))))>
4.669 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (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 (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 36 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (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 (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 37 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 38 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 39 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (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 (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 40 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 41 / 62 ] simplifiying candidate #<alt (λ (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))))))>
4.669 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.669 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
4.670 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.670 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.670 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.670 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.670 * * * * [progress]: [ 48 / 62 ] 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 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.670 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.670 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.670 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.670 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.670 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.670 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.670 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.670 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.670 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.670 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.670 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
4.670 * * * * [progress]: [ 60 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.670 * * * * [progress]: [ 61 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.670 * * * * [progress]: [ 62 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.671 * [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)))))
  (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 (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))))
  (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)))
4.671 * * [simplify]: iteration 0: 32 enodes
4.680 * * [simplify]: iteration 1: 52 enodes
4.688 * * [simplify]: iteration 2: 129 enodes
4.708 * * [simplify]: iteration 3: 333 enodes
4.777 * * [simplify]: iteration 4: 944 enodes
5.246 * * [simplify]: iteration 5: 3194 enodes
5.788 * * [simplify]: iteration complete: 5002 enodes
5.788 * * [simplify]: Extracting #0: cost 19 inf + 0
5.789 * * [simplify]: Extracting #1: cost 127 inf + 2
5.790 * * [simplify]: Extracting #2: cost 772 inf + 173
5.795 * * [simplify]: Extracting #3: cost 1599 inf + 6473
5.814 * * [simplify]: Extracting #4: cost 242 inf + 131551
5.846 * * [simplify]: Extracting #5: cost 34 inf + 204583
5.878 * * [simplify]: Extracting #6: cost 0 inf + 225923
5.909 * [simplify]: Simplified to:
  (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))))
  (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  1
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (real->posit16 (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))))
  (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  1
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (real->posit16 (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))))
  (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  1
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (real->posit16 (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (log (atan2 1 (+ (* N N) (+ 1 N))))
  (exp (atan2 1 (+ (* N N) (+ 1 N))))
  (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))
  (cbrt (atan2 1 (+ (* N N) (+ 1 N))))
  (* (atan2 1 (+ (* N N) (+ 1 N))) (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (real->posit16 (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (sqrt (atan2 1 (+ (* N N) (+ 1 N))))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
  (atan2 1 (+ (* N N) (+ 1 N)))
5.914 * * * [progress]: adding candidates to table
6.115 * [progress]: [Phase 3 of 3] Extracting.
6.115 * * [regime]: Finding splitpoints for: (#<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))))))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
6.116 * * * [regime-changes]: Trying 1 branch expressions: (N)
6.116 * * * * [regimes]: Trying to branch on N from (#<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))))))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
6.142 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
6.143 * [simplify]: Simplifying:
  (atan2 1 (+ 1 (* (+ N 1) N)))
6.143 * * [simplify]: iteration 0: 6 enodes
6.143 * * [simplify]: iteration 1: 11 enodes
6.144 * * [simplify]: iteration complete: 11 enodes
6.144 * * [simplify]: Extracting #0: cost 1 inf + 0
6.144 * * [simplify]: Extracting #1: cost 3 inf + 0
6.144 * * [simplify]: Extracting #2: cost 3 inf + 1
6.144 * * [simplify]: Extracting #3: cost 5 inf + 1
6.144 * * [simplify]: Extracting #4: cost 0 inf + 510
6.144 * [simplify]: Simplified to:
  (atan2 1 (+ (* (+ N 1) N) 1))
7.721 * [regime-testing]: Baseline error score: 0.3758358132152409
7.723 * [regime-testing]: Oracle error score: 0.3373310001136031
7.727 * [regime-testing]: End program error score: 0.3758358132152409
7.767 * [regime-testing]: Target error score: 0.3779610788734482