54.996 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.068 * * * [progress]: [2/2] Setting up program.
0.073 * [progress]: [Phase 2 of 3] Improving.
0.073 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.073 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.073 * * [simplify]: iteration 1: (6 enodes)
0.075 * * [simplify]: iteration 2: (11 enodes)
0.078 * * [simplify]: iteration 3: (12 enodes)
0.081 * * [simplify]: Extracting #0: cost 1 inf + 0
0.081 * * [simplify]: Extracting #1: cost 4 inf + 0
0.081 * * [simplify]: Extracting #2: cost 6 inf + 0
0.081 * * [simplify]: Extracting #3: cost 4 inf + 253
0.081 * * [simplify]: Extracting #4: cost 0 inf + 735
0.081 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.084 * * [progress]: iteration 1 / 4
0.084 * * * [progress]: picking best candidate
0.086 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.086 * * * [progress]: localizing error
0.116 * * * [progress]: generating rewritten candidates
0.116 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.126 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.128 * * * [progress]: generating series expansions
0.128 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.129 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.129 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.129 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.129 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.130 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.130 * [taylor]: Taking taylor expansion of (atan N) in N
0.130 * [backup-simplify]: Simplify (atan N) into (atan N)
0.130 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.130 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.130 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.130 * [taylor]: Taking taylor expansion of (atan N) in N
0.130 * [backup-simplify]: Simplify (atan N) into (atan N)
0.131 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.131 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.131 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
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
0.133 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (- 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (- 0) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (- 0) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (- 0) into 0
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.138 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.138 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.138 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.138 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.138 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.138 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.138 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.138 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.138 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.138 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.138 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.138 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.138 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.139 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.139 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.139 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (- 0) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (- 0) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (- 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.144 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.144 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.144 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.144 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.144 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.144 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.145 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.145 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.145 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.145 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.145 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.145 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.145 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.145 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.145 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.146 * [backup-simplify]: Simplify (- 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (- 0) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (- 0) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (- 0) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.151 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.151 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.151 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.152 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.152 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.152 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.153 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.153 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.153 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.153 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.153 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.153 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.153 * * * [progress]: simplifying candidates
0.153 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.153 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.154 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.154 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.154 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.154 * * * * [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)))))>
0.154 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.154 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.154 * * * * [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))))))>
0.154 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.154 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.154 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.154 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.154 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.154 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.154 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.154 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.154 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.154 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.155 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.155 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.155 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.155 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.155 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.155 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.155 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.155 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.155 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.155 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.155 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.156 * [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))
0.156 * * [simplify]: iteration 1: (41 enodes)
0.172 * * [simplify]: iteration 2: (77 enodes)
0.189 * * [simplify]: iteration 3: (151 enodes)
0.238 * * [simplify]: iteration 4: (288 enodes)
0.309 * * [simplify]: iteration 5: (628 enodes)
0.646 * * [simplify]: iteration 6: (1658 enodes)
1.706 * * [simplify]: Extracting #0: cost 25 inf + 0
1.706 * * [simplify]: Extracting #1: cost 247 inf + 1
1.710 * * [simplify]: Extracting #2: cost 984 inf + 2510
1.727 * * [simplify]: Extracting #3: cost 812 inf + 109051
1.795 * * [simplify]: Extracting #4: cost 276 inf + 413344
1.900 * * [simplify]: Extracting #5: cost 13 inf + 637598
2.014 * * [simplify]: Extracting #6: cost 0 inf + 649761
2.117 * * [simplify]: Extracting #7: cost 0 inf + 649499
2.221 * [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 (+ 1 N)) (+ (atan N) (atan (+ 1 N)))) (* (atan N) (atan N)))
  (- (atan N))
  (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N))))
  (+ (atan N) (atan (+ 1 N)))
  (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
  (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ 1 N)) (atan N)))
  (log (atan (+ 1 N)))
  (exp (atan (+ 1 N)))
  (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
  (cbrt (atan (+ 1 N)))
  (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (real->posit16 (atan (+ 1 N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (atan (+ 1 N))
  (atan (+ 1 N))
  (atan (+ 1 N))
2.222 * * * [progress]: adding candidates to table
2.401 * * [progress]: iteration 2 / 4
2.401 * * * [progress]: picking best candidate
2.403 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
2.403 * * * [progress]: localizing error
2.418 * * * [progress]: generating rewritten candidates
2.418 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.418 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2)
2.434 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
2.446 * * * [progress]: generating series expansions
2.446 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.446 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.446 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
2.446 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.446 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.446 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.446 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.446 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.447 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.447 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
2.447 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.447 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.447 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.447 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.447 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.447 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.447 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
2.447 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.448 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.448 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.448 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.448 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.448 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2)
2.448 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N)
2.448 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0
2.448 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.448 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.448 * [taylor]: Taking taylor expansion of N in N
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [taylor]: Taking taylor expansion of 1 in N
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [taylor]: Taking taylor expansion of N in N
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.448 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.448 * [taylor]: Taking taylor expansion of N in N
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [taylor]: Taking taylor expansion of 1 in N
2.448 * [backup-simplify]: Simplify 1 into 1
2.448 * [taylor]: Taking taylor expansion of N in N
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (+ 0 1) into 1
2.449 * [backup-simplify]: Simplify (* 1 0) into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify (+ 1 0) into 1
2.450 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
2.450 * [backup-simplify]: Simplify 1 into 1
2.450 * [backup-simplify]: Simplify (+ 0 0) into 0
2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
2.451 * [backup-simplify]: Simplify 1 into 1
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify (+ 0 0) into 0
2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (+ 0 0) into 0
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify (+ 0 0) into 0
2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify (+ 0 0) into 0
2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
2.457 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
2.458 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N)
2.458 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0
2.458 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.458 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.458 * [taylor]: Taking taylor expansion of N in N
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [backup-simplify]: Simplify (/ 1 1) into 1
2.458 * [taylor]: Taking taylor expansion of 1 in N
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [taylor]: Taking taylor expansion of N in N
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [backup-simplify]: Simplify (+ 1 0) into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.459 * [taylor]: Taking taylor expansion of N in N
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.459 * [taylor]: Taking taylor expansion of 1 in N
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [taylor]: Taking taylor expansion of N in N
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (+ 1 0) into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.460 * [backup-simplify]: Simplify 1 into 1
2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.460 * [backup-simplify]: Simplify (+ 0 1) into 1
2.461 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
2.461 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.462 * [backup-simplify]: Simplify (+ 0 0) into 0
2.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.462 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.466 * [backup-simplify]: Simplify (+ 0 0) into 0
2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.467 * [backup-simplify]: Simplify (+ 0 0) into 0
2.468 * [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
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [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
2.469 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [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
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
2.470 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N))
2.470 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0
2.470 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.470 * [taylor]: Taking taylor expansion of -1 in N
2.470 * [backup-simplify]: Simplify -1 into -1
2.470 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.470 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.470 * [taylor]: Taking taylor expansion of 1 in N
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.470 * [taylor]: Taking taylor expansion of N in N
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify (/ 1 1) into 1
2.470 * [taylor]: Taking taylor expansion of N in N
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify (- 1) into -1
2.471 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.471 * [backup-simplify]: Simplify (/ -1 1) into -1
2.471 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.471 * [taylor]: Taking taylor expansion of -1 in N
2.471 * [backup-simplify]: Simplify -1 into -1
2.471 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.471 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.471 * [taylor]: Taking taylor expansion of 1 in N
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.471 * [taylor]: Taking taylor expansion of N in N
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (/ 1 1) into 1
2.471 * [taylor]: Taking taylor expansion of N in N
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (- 1) into -1
2.472 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.472 * [backup-simplify]: Simplify (/ -1 1) into -1
2.472 * [backup-simplify]: Simplify (* -1 -1) into 1
2.472 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.473 * [backup-simplify]: Simplify (- 0) into 0
2.474 * [backup-simplify]: Simplify (+ 1 0) into 1
2.475 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
2.475 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.475 * [backup-simplify]: Simplify -1 into -1
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (- 0) into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.479 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.480 * [backup-simplify]: Simplify (- 0) into 0
2.480 * [backup-simplify]: Simplify (+ 0 0) into 0
2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0
2.483 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.484 * [backup-simplify]: Simplify (- 0) into 0
2.485 * [backup-simplify]: Simplify (+ 0 0) into 0
2.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (- 0) into 0
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify (- 0) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [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
2.494 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [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
2.494 * [backup-simplify]: Simplify (- 0) into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.495 * [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
2.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
2.497 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
2.497 * [backup-simplify]: Simplify (+ 1 (* (+ N 1) N)) into (+ N (+ (pow N 2) 1))
2.497 * [approximate]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0
2.497 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
2.497 * [taylor]: Taking taylor expansion of N in N
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
2.497 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.497 * [taylor]: Taking taylor expansion of N in N
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of 1 in N
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
2.497 * [taylor]: Taking taylor expansion of N in N
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
2.497 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.497 * [taylor]: Taking taylor expansion of N in N
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of 1 in N
2.497 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (+ 0 1) into 1
2.498 * [backup-simplify]: Simplify (+ 0 1) into 1
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (+ 1 0) into 1
2.498 * [backup-simplify]: Simplify 1 into 1
2.501 * [backup-simplify]: Simplify (* 1 1) into 1
2.501 * [backup-simplify]: Simplify (+ 1 0) into 1
2.501 * [backup-simplify]: Simplify (+ 0 1) into 1
2.501 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.502 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))
2.502 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0
2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N
2.502 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.502 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.502 * [taylor]: Taking taylor expansion of N in N
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (* 1 1) into 1
2.502 * [backup-simplify]: Simplify (/ 1 1) into 1
2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.502 * [taylor]: Taking taylor expansion of N in N
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (/ 1 1) into 1
2.503 * [taylor]: Taking taylor expansion of 1 in N
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.503 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.503 * [taylor]: Taking taylor expansion of N in N
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (* 1 1) into 1
2.503 * [backup-simplify]: Simplify (/ 1 1) into 1
2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.503 * [taylor]: Taking taylor expansion of N in N
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (/ 1 1) into 1
2.504 * [taylor]: Taking taylor expansion of 1 in N
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (+ 1 0) into 1
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ 1 0) into 1
2.505 * [backup-simplify]: Simplify (+ 0 1) into 1
2.505 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (+ 0 1) into 1
2.507 * [backup-simplify]: Simplify (+ 0 1) into 1
2.507 * [backup-simplify]: Simplify 1 into 1
2.508 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.508 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))
2.508 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0
2.508 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N
2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.508 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.508 * [taylor]: Taking taylor expansion of N in N
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [backup-simplify]: Simplify (* 1 1) into 1
2.508 * [backup-simplify]: Simplify (/ 1 1) into 1
2.508 * [taylor]: Taking taylor expansion of 1 in N
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.508 * [taylor]: Taking taylor expansion of N in N
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (/ 1 1) into 1
2.509 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N
2.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
2.509 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.509 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.509 * [taylor]: Taking taylor expansion of N in N
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* 1 1) into 1
2.509 * [backup-simplify]: Simplify (/ 1 1) into 1
2.509 * [taylor]: Taking taylor expansion of 1 in N
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.509 * [taylor]: Taking taylor expansion of N in N
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (/ 1 1) into 1
2.510 * [backup-simplify]: Simplify (+ 1 0) into 1
2.510 * [backup-simplify]: Simplify (+ 1 0) into 1
2.510 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (- 1) into -1
2.512 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.512 * [backup-simplify]: Simplify -1 into -1
2.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.513 * [backup-simplify]: Simplify (+ 0 1) into 1
2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify (- 0) into 0
2.514 * [backup-simplify]: Simplify (+ 1 0) into 1
2.514 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.515 * * * [progress]: simplifying candidates
2.515 * * * * [progress]: [ 1 / 51 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
2.515 * * * * [progress]: [ 2 / 51 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 3 / 51 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 4 / 51 ] 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))))))>
2.515 * * * * [progress]: [ 5 / 51 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 6 / 51 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 7 / 51 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
2.515 * * * * [progress]: [ 8 / 51 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 9 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.515 * * * * [progress]: [ 10 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.515 * * * * [progress]: [ 11 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ N 1)) (log N))))))>
2.515 * * * * [progress]: [ 12 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 13 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 14 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))))))>
2.515 * * * * [progress]: [ 15 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 16 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 17 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
2.515 * * * * [progress]: [ 18 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.515 * * * * [progress]: [ 19 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))>
2.516 * * * * [progress]: [ 20 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))>
2.516 * * * * [progress]: [ 21 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))>
2.516 * * * * [progress]: [ 22 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) 1) N))))>
2.516 * * * * [progress]: [ 23 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
2.516 * * * * [progress]: [ 24 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
2.516 * * * * [progress]: [ 25 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.516 * * * * [progress]: [ 26 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.516 * * * * [progress]: [ 27 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
2.516 * * * * [progress]: [ 28 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
2.516 * * * * [progress]: [ 29 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (posit16->real (real->posit16 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 30 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
2.516 * * * * [progress]: [ 31 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp 1) (exp (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 32 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ 1 (* (+ N 1) N)) 1)))>
2.516 * * * * [progress]: [ 33 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ 1 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 34 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ 1 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 35 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 36 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 37 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ N 1) N))) (sqrt (+ 1 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 38 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow 1 3) (pow (* (+ N 1) N) 3)) (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))))))>
2.516 * * * * [progress]: [ 39 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ 1 (* (+ N 1) N)))))>
2.516 * * * * [progress]: [ 40 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))) (- 1 (* (+ N 1) N)))))>
2.516 * * * * [progress]: [ 41 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (+ 1 (* (+ N 1) N))))))>
2.516 * * * * [progress]: [ 42 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* (+ N 1) N) 1)))>
2.516 * * * * [progress]: [ 43 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.516 * * * * [progress]: [ 44 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.516 * * * * [progress]: [ 45 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.516 * * * * [progress]: [ 46 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.516 * * * * [progress]: [ 47 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.516 * * * * [progress]: [ 48 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.516 * * * * [progress]: [ 49 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.517 * * * * [progress]: [ 50 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.517 * * * * [progress]: [ 51 / 51 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.517 * [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))
  (* (exp 1) (exp (* (+ N 1) N)))
  (log (+ 1 (* (+ N 1) N)))
  (exp (+ 1 (* (+ N 1) N)))
  (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))
  (cbrt (+ 1 (* (+ N 1) N)))
  (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N)))
  (sqrt (+ 1 (* (+ N 1) N)))
  (sqrt (+ 1 (* (+ N 1) N)))
  (+ (pow 1 3) (pow (* (+ N 1) N) 3))
  (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))
  (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))
  (- 1 (* (+ N 1) N))
  (real->posit16 (+ 1 (* (+ 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))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
2.518 * * [simplify]: iteration 1: (72 enodes)
2.539 * * [simplify]: iteration 2: (176 enodes)
2.617 * * [simplify]: iteration 3: (476 enodes)
2.948 * * [simplify]: iteration 4: (1536 enodes)
7.595 * * [simplify]: Extracting #0: cost 36 inf + 0
7.596 * * [simplify]: Extracting #1: cost 323 inf + 0
7.600 * * [simplify]: Extracting #2: cost 1013 inf + 5565
7.615 * * [simplify]: Extracting #3: cost 772 inf + 71250
7.667 * * [simplify]: Extracting #4: cost 107 inf + 223446
7.732 * * [simplify]: Extracting #5: cost 1 inf + 250338
7.796 * * [simplify]: Extracting #6: cost 0 inf + 250413
7.862 * [simplify]: Simplified to:
  (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 (* 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) (* N (cbrt N))) (cbrt N))
  (+ (* N (sqrt N)) (sqrt N))
  (+ N 1)
  (* (cbrt (+ N 1)) N)
  (* N (sqrt (+ N 1)))
  (+ N (* N N))
  (+ N (* N N))
  (+ N (* (* N N) (* N N)))
  (- (* (* N N) N) N)
  (real->posit16 (+ N (* N N)))
  (exp (+ 1 (* (+ N 1) N)))
  (log (+ 1 (* (+ N 1) N)))
  (exp (+ 1 (* (+ N 1) N)))
  (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))
  (cbrt (+ 1 (* (+ N 1) N)))
  (* (+ 1 (* (+ N 1) N)) (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))))
  (sqrt (+ 1 (* (+ N 1) N)))
  (sqrt (+ 1 (* (+ N 1) N)))
  (+ (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) 1)
  (- (* (* (+ N 1) N) (* (+ N 1) N)) (- (* (+ N 1) N) 1))
  (- 1 (* (* (+ N 1) N) (* (+ N 1) N)))
  (- 1 (* (+ N 1) N))
  (real->posit16 (+ 1 (* (+ N 1) N)))
  (atan2 1 (+ 1 (* (+ N 1) N)))
  (atan2 1 (+ 1 (* (+ N 1) N)))
  (atan2 1 (+ 1 (* (+ N 1) N)))
  (+ N (* N N))
  (+ N (* N N))
  (+ N (* N N))
  (+ 1 (* (+ N 1) N))
  (+ 1 (* (+ N 1) N))
  (+ 1 (* (+ N 1) N))
7.864 * * * [progress]: adding candidates to table
8.126 * * [progress]: iteration 3 / 4
8.126 * * * [progress]: picking best candidate
8.130 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.131 * * * [progress]: localizing error
8.152 * * * [progress]: generating rewritten candidates
8.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
8.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
8.154 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
8.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
8.155 * * * [progress]: generating series expansions
8.155 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
8.155 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.155 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
8.155 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.155 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.155 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.155 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.155 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.156 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.156 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.156 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.156 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.156 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.158 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.159 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.160 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.160 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
8.160 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.160 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.161 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.161 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.161 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.161 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.162 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.162 * [backup-simplify]: Simplify 0 into 0
8.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.163 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.164 * [backup-simplify]: Simplify 0 into 0
8.165 * [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
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.165 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.165 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
8.165 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.165 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.165 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.166 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.166 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.166 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.166 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.167 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.167 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.168 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [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
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.170 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
8.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.170 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
8.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.170 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.170 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
8.170 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.170 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.171 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.171 * [backup-simplify]: Simplify 0 into 0
8.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.172 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.174 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.174 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
8.174 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.174 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.174 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.174 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
8.175 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.175 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.175 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.175 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
8.175 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.177 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [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
8.178 * [backup-simplify]: Simplify 0 into 0
8.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.179 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
8.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.179 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.179 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
8.179 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.179 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.180 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
8.180 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.180 * [backup-simplify]: Simplify 0 into 0
8.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.181 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
8.182 * [backup-simplify]: Simplify 0 into 0
8.183 * [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
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.183 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
8.183 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.183 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
8.183 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.183 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.183 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.184 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.184 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.184 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.184 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
8.184 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.184 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.184 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.184 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.184 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.185 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.185 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
8.185 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.185 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.185 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.185 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.185 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.186 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
8.186 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.186 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
8.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
8.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.186 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.186 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
8.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.186 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.187 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
8.187 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.187 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.187 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.187 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
8.187 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.187 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.187 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
8.187 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.188 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
8.188 * * * [progress]: simplifying candidates
8.188 * * * * [progress]: [ 1 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
8.188 * * * * [progress]: [ 2 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
8.188 * * * * [progress]: [ 3 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.188 * * * * [progress]: [ 4 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.188 * * * * [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))))))))>
8.188 * * * * [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))))))))>
8.188 * * * * [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))))))))>
8.188 * * * * [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))))))))>
8.188 * * * * [progress]: [ 9 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
8.188 * * * * [progress]: [ 10 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
8.188 * * * * [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))))))))>
8.188 * * * * [progress]: [ 12 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
8.188 * * * * [progress]: [ 13 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
8.188 * * * * [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))))))))>
8.188 * * * * [progress]: [ 15 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.188 * * * * [progress]: [ 16 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [progress]: [ 17 / 56 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [progress]: [ 18 / 56 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [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))))))>
8.189 * * * * [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))))))>
8.189 * * * * [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))))))>
8.189 * * * * [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))))))>
8.189 * * * * [progress]: [ 23 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [progress]: [ 24 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [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))))))>
8.189 * * * * [progress]: [ 26 / 56 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [progress]: [ 27 / 56 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [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))))))>
8.189 * * * * [progress]: [ 29 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
8.189 * * * * [progress]: [ 30 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.189 * * * * [progress]: [ 31 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.189 * * * * [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))))))))>
8.189 * * * * [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))))))))>
8.189 * * * * [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))))))))>
8.189 * * * * [progress]: [ 35 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
8.189 * * * * [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))))))))>
8.189 * * * * [progress]: [ 37 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [progress]: [ 38 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [progress]: [ 39 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [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))))))>
8.189 * * * * [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))))))>
8.189 * * * * [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))))))>
8.189 * * * * [progress]: [ 43 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.189 * * * * [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))))))>
8.190 * * * * [progress]: [ 45 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
8.190 * * * * [progress]: [ 46 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
8.190 * * * * [progress]: [ 47 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
8.190 * * * * [progress]: [ 48 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.190 * * * * [progress]: [ 49 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.190 * * * * [progress]: [ 50 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.190 * * * * [progress]: [ 51 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
8.190 * * * * [progress]: [ 52 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
8.190 * * * * [progress]: [ 53 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
8.190 * * * * [progress]: [ 54 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.190 * * * * [progress]: [ 55 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.190 * * * * [progress]: [ 56 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
8.190 * [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)))
8.191 * * [simplify]: iteration 1: (32 enodes)
8.197 * * [simplify]: iteration 2: (52 enodes)
8.204 * * [simplify]: iteration 3: (76 enodes)
8.216 * * [simplify]: iteration 4: (106 enodes)
8.234 * * [simplify]: iteration 5: (152 enodes)
8.261 * * [simplify]: iteration 6: (246 enodes)
8.334 * * [simplify]: iteration 7: (544 enodes)
8.533 * * [simplify]: iteration 8: (1332 enodes)
10.083 * * [simplify]: Extracting #0: cost 19 inf + 0
10.084 * * [simplify]: Extracting #1: cost 293 inf + 2
10.088 * * [simplify]: Extracting #2: cost 1065 inf + 7
10.092 * * [simplify]: Extracting #3: cost 1076 inf + 230
10.098 * * [simplify]: Extracting #4: cost 1051 inf + 8049
10.123 * * [simplify]: Extracting #5: cost 781 inf + 177328
10.211 * * [simplify]: Extracting #6: cost 132 inf + 714939
10.335 * * [simplify]: Extracting #7: cost 4 inf + 841609
10.461 * * [simplify]: Extracting #8: cost 0 inf + 845540
10.584 * [simplify]: Simplified to:
  (log (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (exp (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
  (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (atan2 1 (+ (+ N 1) (* N N))))
  (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  1
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (real->posit16 (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (log (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (exp (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
  (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (atan2 1 (+ (+ N 1) (* N N))))
  (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  1
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (real->posit16 (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (log (atan2 1 (+ (+ N 1) (* N N))))
  (exp (atan2 1 (+ (+ N 1) (* N N))))
  (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (cbrt (atan2 1 (+ (+ N 1) (* N N))))
  (* (atan2 1 (+ (+ N 1) (* N N))) (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (real->posit16 (atan2 1 (+ (+ N 1) (* N N))))
  (log (atan2 1 (+ (+ N 1) (* N N))))
  (exp (atan2 1 (+ (+ N 1) (* N N))))
  (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (cbrt (atan2 1 (+ (+ N 1) (* N N))))
  (* (atan2 1 (+ (+ N 1) (* N N))) (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (real->posit16 (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
10.587 * * * [progress]: adding candidates to table
10.931 * * [progress]: iteration 4 / 4
10.931 * * * [progress]: picking best candidate
10.944 * * * * [pick]: Picked  #<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))))))))>
10.944 * * * [progress]: localizing error
10.972 * * * [progress]: generating rewritten candidates
10.972 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
10.973 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
10.974 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
10.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1)
10.975 * * * [progress]: generating series expansions
10.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
10.975 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.975 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
10.975 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
10.975 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
10.975 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
10.976 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.976 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
10.976 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
10.976 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
10.976 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.976 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.976 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.977 * [backup-simplify]: Simplify 0 into 0
10.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.978 * [backup-simplify]: Simplify 0 into 0
10.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.978 * [backup-simplify]: Simplify 0 into 0
10.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.979 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.980 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.980 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.980 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
10.980 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
10.980 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
10.980 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
10.980 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.980 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
10.980 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
10.980 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
10.981 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.981 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.981 * [backup-simplify]: Simplify 0 into 0
10.981 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.981 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.982 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.984 * [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
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.984 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.984 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
10.984 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
10.984 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
10.984 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
10.985 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.985 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
10.985 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
10.985 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
10.985 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.985 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.985 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.986 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.986 * [backup-simplify]: Simplify 0 into 0
10.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.987 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [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
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.989 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
10.989 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.989 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
10.989 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
10.989 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
10.989 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
10.989 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.989 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
10.989 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
10.989 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
10.989 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.989 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.989 * [backup-simplify]: Simplify 0 into 0
10.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.990 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.992 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.993 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.993 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
10.993 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
10.993 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
10.993 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
10.993 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.993 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
10.993 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
10.993 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
10.993 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.994 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
10.994 * [backup-simplify]: Simplify 0 into 0
10.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.994 * [backup-simplify]: Simplify 0 into 0
10.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.995 * [backup-simplify]: Simplify 0 into 0
10.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.996 * [backup-simplify]: Simplify 0 into 0
10.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
10.996 * [backup-simplify]: Simplify 0 into 0
10.997 * [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
10.997 * [backup-simplify]: Simplify 0 into 0
10.997 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
10.997 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.997 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
10.997 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
10.997 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
10.997 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
10.997 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.998 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
10.998 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
10.998 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
10.998 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.998 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
10.998 * [backup-simplify]: Simplify 0 into 0
10.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.999 * [backup-simplify]: Simplify 0 into 0
10.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
10.999 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.000 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [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
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.001 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
11.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.002 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
11.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
11.002 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
11.002 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
11.002 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
11.002 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.002 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.002 * [backup-simplify]: Simplify 0 into 0
11.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.003 * [backup-simplify]: Simplify 0 into 0
11.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.005 * [backup-simplify]: Simplify 0 into 0
11.005 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
11.005 * [backup-simplify]: Simplify 0 into 0
11.005 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.006 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
11.006 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
11.006 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
11.006 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
11.006 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
11.006 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
11.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
11.006 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
11.006 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
11.006 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
11.006 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
11.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
11.007 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
11.007 * [backup-simplify]: Simplify 0 into 0
11.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
11.007 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
11.008 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
11.008 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
11.009 * [backup-simplify]: Simplify 0 into 0
11.010 * [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
11.010 * [backup-simplify]: Simplify 0 into 0
11.010 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.010 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
11.010 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
11.010 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
11.010 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
11.010 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
11.011 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
11.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.011 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
11.011 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
11.011 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
11.011 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
11.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.011 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
11.011 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.012 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.012 * [backup-simplify]: Simplify 0 into 0
11.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.013 * [backup-simplify]: Simplify 0 into 0
11.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
11.014 * [backup-simplify]: Simplify 0 into 0
11.014 * [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
11.014 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
11.015 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1)
11.015 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.015 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
11.015 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
11.015 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.015 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
11.015 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.015 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.015 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
11.015 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
11.015 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
11.015 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
11.016 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
11.016 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
11.016 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.016 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
11.016 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
11.016 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
11.016 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
11.016 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
11.016 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
11.017 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
11.017 * * * [progress]: simplifying candidates
11.017 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))))>
11.017 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))))>
11.017 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.017 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.017 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
11.017 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
11.017 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
11.017 * * * * [progress]: [ 8 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
11.017 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
11.017 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))))>
11.017 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
11.017 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
11.017 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
11.017 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.017 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 36 / 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))))))))>
11.018 * * * * [progress]: [ 37 / 62 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 38 / 62 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 39 / 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))))))))>
11.018 * * * * [progress]: [ 40 / 62 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 41 / 62 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.018 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))))>
11.019 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.019 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.019 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.019 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.019 * * * * [progress]: [ 48 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.019 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
11.019 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
11.019 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
11.019 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
11.019 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
11.019 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
11.019 * * * * [progress]: [ 60 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
11.019 * * * * [progress]: [ 61 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
11.019 * * * * [progress]: [ 62 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
11.020 * [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)))
11.020 * * [simplify]: iteration 1: (32 enodes)
11.026 * * [simplify]: iteration 2: (52 enodes)
11.034 * * [simplify]: iteration 3: (76 enodes)
11.045 * * [simplify]: iteration 4: (106 enodes)
11.063 * * [simplify]: iteration 5: (152 enodes)
11.090 * * [simplify]: iteration 6: (246 enodes)
11.158 * * [simplify]: iteration 7: (544 enodes)
11.352 * * [simplify]: iteration 8: (1332 enodes)
12.851 * * [simplify]: Extracting #0: cost 19 inf + 0
12.852 * * [simplify]: Extracting #1: cost 293 inf + 2
12.855 * * [simplify]: Extracting #2: cost 1065 inf + 7
12.860 * * [simplify]: Extracting #3: cost 1076 inf + 230
12.866 * * [simplify]: Extracting #4: cost 1051 inf + 8049
12.889 * * [simplify]: Extracting #5: cost 781 inf + 177328
12.977 * * [simplify]: Extracting #6: cost 132 inf + 714939
13.098 * * [simplify]: Extracting #7: cost 4 inf + 841609
13.221 * * [simplify]: Extracting #8: cost 0 inf + 845540
13.343 * [simplify]: Simplified to:
  (log (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (exp (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
  (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (atan2 1 (+ (+ N 1) (* N N))))
  (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  1
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (real->posit16 (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (log (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (exp (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
  (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (atan2 1 (+ (+ N 1) (* N N))))
  (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  1
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (real->posit16 (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (log (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (exp (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
  (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (atan2 1 (+ (+ N 1) (* N N))))
  (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  1
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  1/2
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (real->posit16 (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
  (log (atan2 1 (+ (+ N 1) (* N N))))
  (exp (atan2 1 (+ (+ N 1) (* N N))))
  (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
  (cbrt (atan2 1 (+ (+ N 1) (* N N))))
  (* (atan2 1 (+ (+ N 1) (* N N))) (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (real->posit16 (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (sqrt (atan2 1 (+ (+ N 1) (* N N))))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
  (atan2 1 (+ (+ N 1) (* N N)))
13.348 * * * [progress]: adding candidates to table
13.806 * [progress]: [Phase 3 of 3] Extracting.
13.806 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<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))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>)
13.807 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
13.807 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<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))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>)
13.833 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<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))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>)
13.860 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
13.860 * [simplify]: Simplifying:
  (atan2 1 (+ 1 (* (+ N 1) N)))
13.860 * * [simplify]: iteration 1: (6 enodes)
13.861 * * [simplify]: iteration 2: (11 enodes)
13.861 * * [simplify]: Extracting #0: cost 1 inf + 0
13.861 * * [simplify]: Extracting #1: cost 3 inf + 0
13.861 * * [simplify]: Extracting #2: cost 3 inf + 1
13.861 * * [simplify]: Extracting #3: cost 5 inf + 1
13.861 * * [simplify]: Extracting #4: cost 0 inf + 510
13.861 * [simplify]: Simplified to:
  (atan2 1 (+ (* (+ N 1) N) 1))
15.616 * [regime-testing]: Baseline error score: 0.3543153832699703
15.618 * [regime-testing]: Oracle error score: 0.32168630463514086
15.622 * [regime-testing]: End program error score: 0.3543153832699703
15.657 * [regime-testing]: Target error score: 0.3551904926586439