0.001 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.053 * [progress]: [Phase 2 of 3] Improving.
0.053 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.053 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.053 * * [simplify]: iteration 1: (6 enodes)
0.057 * * [simplify]: iteration 2: (23 enodes)
0.064 * * [simplify]: iteration 3: (28 enodes)
0.073 * * [simplify]: Extracting #0: cost 1 inf + 0
0.073 * * [simplify]: Extracting #1: cost 5 inf + 0
0.073 * * [simplify]: Extracting #2: cost 10 inf + 0
0.073 * * [simplify]: Extracting #3: cost 11 inf + 1
0.073 * * [simplify]: Extracting #4: cost 6 inf + 298
0.073 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.074 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.074 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.079 * * [progress]: iteration 1 / 4
0.080 * * * [progress]: picking best candidate
0.084 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.084 * * * [progress]: localizing error
0.114 * * * [progress]: generating rewritten candidates
0.114 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.120 * * * [progress]: generating series expansions
0.120 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.120 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.120 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.120 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.120 * [taylor]: Taking taylor expansion of (atan N) in N
0.120 * [backup-simplify]: Simplify (atan N) into (atan N)
0.120 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.120 * [taylor]: Taking taylor expansion of (atan N) in N
0.120 * [backup-simplify]: Simplify (atan N) into (atan N)
0.120 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.120 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.120 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.125 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.125 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.125 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.126 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.126 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.126 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.126 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.126 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.126 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.126 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.126 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.126 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.126 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.126 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.131 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.132 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.132 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.132 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.132 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.132 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.132 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.132 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.132 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.132 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.132 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.132 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.132 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.132 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.132 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
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
0.134 * [backup-simplify]: Simplify (- 0) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [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 (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.137 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.138 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.138 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.138 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.138 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.138 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.138 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.139 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.139 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.139 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.139 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.139 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.139 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.139 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.139 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.139 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.140 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.140 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.140 * [backup-simplify]: Simplify 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 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.140 * * * [progress]: simplifying candidates
0.140 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.140 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.140 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.140 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.140 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.140 * * * * [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)))))>
0.141 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.141 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.141 * * * * [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))))))>
0.141 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.141 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.141 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.141 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.141 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.141 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.141 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.141 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.141 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.141 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.141 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.141 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.141 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.142 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.142 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.142 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.142 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.142 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.142 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.142 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.142 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.142 * [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))
0.143 * * [simplify]: iteration 1: (41 enodes)
0.155 * * [simplify]: iteration 2: (149 enodes)
0.190 * * [simplify]: iteration 3: (245 enodes)
0.280 * * [simplify]: iteration 4: (417 enodes)
0.392 * * [simplify]: iteration 5: (747 enodes)
0.713 * * [simplify]: iteration 6: (1681 enodes)
1.629 * * [simplify]: Extracting #0: cost 25 inf + 0
1.630 * * [simplify]: Extracting #1: cost 224 inf + 1
1.633 * * [simplify]: Extracting #2: cost 763 inf + 6718
1.656 * * [simplify]: Extracting #3: cost 754 inf + 79958
1.733 * * [simplify]: Extracting #4: cost 328 inf + 319866
1.830 * * [simplify]: Extracting #5: cost 42 inf + 571438
1.926 * * [simplify]: Extracting #6: cost 0 inf + 609085
2.042 * * [simplify]: Extracting #7: cost 0 inf + 608903
2.163 * [simplify]: Simplified to 1, (+ (* N N) (+ 1 N)), (exp (- (atan (+ 1 N)) (atan N))), (log (- (atan (+ 1 N)) (atan N))), (exp (- (atan (+ 1 N)) (atan N))), (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))), (cbrt (- (atan (+ 1 N)) (atan N))), (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))), (sqrt (- (atan (+ 1 N)) (atan N))), (sqrt (- (atan (+ 1 N)) (atan N))), (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N)))), (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N))))), (- (atan N)), (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))), (+ (atan N) (atan (+ 1 N))), (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))), (- (sqrt (atan (+ 1 N))) (sqrt (atan N))), (- (atan (+ 1 N)) (atan N)), (- (atan N)), (real->posit16 (- (atan (+ 1 N)) (atan N))), (log (atan (+ 1 N))), (exp (atan (+ 1 N))), (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))), (cbrt (atan (+ 1 N))), (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (real->posit16 (atan (+ 1 N))), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (atan (+ 1 N)), (atan (+ 1 N)), (atan (+ 1 N))
2.164 * * * [progress]: adding candidates to table
2.433 * * [progress]: iteration 2 / 4
2.433 * * * [progress]: picking best candidate
2.435 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
2.435 * * * [progress]: localizing error
2.447 * * * [progress]: generating rewritten candidates
2.447 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.447 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
2.462 * * * [progress]: generating series expansions
2.462 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.462 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.462 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
2.462 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.462 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.462 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.462 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.463 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.463 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.463 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
2.463 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.463 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.463 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.463 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.463 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.467 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.467 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
2.467 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.467 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.468 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.468 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.468 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.468 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
2.468 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N)
2.468 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0
2.468 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.468 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.468 * [taylor]: Taking taylor expansion of N in N
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 1 into 1
2.468 * [taylor]: Taking taylor expansion of 1 in N
2.468 * [backup-simplify]: Simplify 1 into 1
2.468 * [taylor]: Taking taylor expansion of N in N
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 1 into 1
2.468 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
2.468 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.469 * [taylor]: Taking taylor expansion of N in N
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [taylor]: Taking taylor expansion of 1 in N
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [taylor]: Taking taylor expansion of N in N
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [backup-simplify]: Simplify (+ 0 1) into 1
2.470 * [backup-simplify]: Simplify (* 1 0) into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (+ 1 0) into 1
2.472 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
2.472 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
2.473 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (+ 0 0) into 0
2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify (+ 0 0) into 0
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (+ 0 0) into 0
2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.476 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify (+ 0 0) into 0
2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify (+ 0 0) into 0
2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
2.480 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N)
2.480 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0
2.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.481 * [taylor]: Taking taylor expansion of N in N
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 1 into 1
2.481 * [backup-simplify]: Simplify (/ 1 1) into 1
2.481 * [taylor]: Taking taylor expansion of 1 in N
2.481 * [backup-simplify]: Simplify 1 into 1
2.481 * [taylor]: Taking taylor expansion of N in N
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 1 into 1
2.481 * [backup-simplify]: Simplify (+ 1 0) into 1
2.481 * [backup-simplify]: Simplify (/ 1 1) into 1
2.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.481 * [taylor]: Taking taylor expansion of N in N
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (/ 1 1) into 1
2.482 * [taylor]: Taking taylor expansion of 1 in N
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [taylor]: Taking taylor expansion of N in N
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (+ 1 0) into 1
2.482 * [backup-simplify]: Simplify (/ 1 1) into 1
2.482 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (+ 0 1) into 1
2.484 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
2.484 * [backup-simplify]: Simplify 1 into 1
2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.486 * [backup-simplify]: Simplify (+ 0 0) into 0
2.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ 0 0) into 0
2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.490 * [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)) (* 0 (/ 0 1)))) into 0
2.490 * [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)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [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
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
2.492 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N))
2.492 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0
2.492 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.492 * [taylor]: Taking taylor expansion of -1 in N
2.492 * [backup-simplify]: Simplify -1 into -1
2.492 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.492 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.492 * [taylor]: Taking taylor expansion of 1 in N
2.492 * [backup-simplify]: Simplify 1 into 1
2.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.492 * [taylor]: Taking taylor expansion of N in N
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (/ 1 1) into 1
2.492 * [taylor]: Taking taylor expansion of N in N
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (- 1) into -1
2.493 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.493 * [backup-simplify]: Simplify (/ -1 1) into -1
2.493 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
2.493 * [taylor]: Taking taylor expansion of -1 in N
2.493 * [backup-simplify]: Simplify -1 into -1
2.493 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
2.493 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.493 * [taylor]: Taking taylor expansion of 1 in N
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.494 * [taylor]: Taking taylor expansion of N in N
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (/ 1 1) into 1
2.494 * [taylor]: Taking taylor expansion of N in N
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (- 1) into -1
2.494 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.495 * [backup-simplify]: Simplify (/ -1 1) into -1
2.495 * [backup-simplify]: Simplify (* -1 -1) into 1
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (- 0) into 0
2.496 * [backup-simplify]: Simplify (+ 1 0) into 1
2.496 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
2.497 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.497 * [backup-simplify]: Simplify -1 into -1
2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify (- 0) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.500 * [backup-simplify]: Simplify (- 0) into 0
2.500 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (- 0) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (- 0) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (- 0) into 0
2.512 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [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
2.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (- 0) into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
2.521 * * * [progress]: simplifying candidates
2.521 * * * * [progress]: [ 1 / 36 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
2.521 * * * * [progress]: [ 2 / 36 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 3 / 36 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 4 / 36 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 5 / 36 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 6 / 36 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 7 / 36 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
2.521 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 9 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.521 * * * * [progress]: [ 10 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
2.521 * * * * [progress]: [ 11 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ N 1)) (log N))))))>
2.521 * * * * [progress]: [ 12 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
2.521 * * * * [progress]: [ 13 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
2.522 * * * * [progress]: [ 14 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))))))>
2.522 * * * * [progress]: [ 15 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
2.522 * * * * [progress]: [ 16 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
2.522 * * * * [progress]: [ 17 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
2.522 * * * * [progress]: [ 18 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.522 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))>
2.522 * * * * [progress]: [ 20 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))>
2.522 * * * * [progress]: [ 21 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))>
2.522 * * * * [progress]: [ 22 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) 1) N))))>
2.522 * * * * [progress]: [ 23 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
2.522 * * * * [progress]: [ 24 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
2.522 * * * * [progress]: [ 25 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.522 * * * * [progress]: [ 26 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
2.522 * * * * [progress]: [ 27 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
2.522 * * * * [progress]: [ 28 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
2.522 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (posit16->real (real->posit16 (* (+ N 1) N))))))>
2.522 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
2.522 * * * * [progress]: [ 31 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.523 * * * * [progress]: [ 32 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.523 * * * * [progress]: [ 33 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.523 * * * * [progress]: [ 34 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.523 * * * * [progress]: [ 35 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.523 * * * * [progress]: [ 36 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
2.523 * [simplify]: Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N)))), (exp (atan2 1 (+ 1 (* (+ N 1) N)))), (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))), (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))), (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))), (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))), (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))), (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))), (* (+ N 1) N), (+ (log (+ N 1)) (log N)), (log (* (+ N 1) N)), (exp (* (+ N 1) N)), (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)), (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))), (cbrt (* (+ N 1) N)), (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)), (sqrt (* (+ N 1) N)), (sqrt (* (+ N 1) N)), (* (sqrt (+ N 1)) (sqrt N)), (* (sqrt (+ N 1)) (sqrt N)), (* (+ N 1) (* (cbrt N) (cbrt N))), (* (+ N 1) (sqrt N)), (* (+ N 1) 1), (* (cbrt (+ N 1)) N), (* (sqrt (+ N 1)) N), (* (+ N 1) N), (* (+ N 1) N), (* (+ (pow N 3) (pow 1 3)) N), (* (- (* N N) (* 1 1)) N), (real->posit16 (* (+ N 1) N)), (atan2 1 (+ N (+ (pow N 2) 1))), (atan2 1 (+ N (+ (pow N 2) 1))), (atan2 1 (+ N (+ (pow N 2) 1))), (+ N (pow N 2)), (+ N (pow N 2)), (+ N (pow N 2))
2.524 * * [simplify]: iteration 1: (55 enodes)
2.540 * * [simplify]: iteration 2: (213 enodes)
2.601 * * [simplify]: iteration 3: (416 enodes)
2.845 * * [simplify]: iteration 4: (810 enodes)
3.619 * * [simplify]: Extracting #0: cost 24 inf + 0
3.619 * * [simplify]: Extracting #1: cost 154 inf + 0
3.622 * * [simplify]: Extracting #2: cost 418 inf + 1191
3.632 * * [simplify]: Extracting #3: cost 314 inf + 22398
3.653 * * [simplify]: Extracting #4: cost 49 inf + 92024
3.677 * * [simplify]: Extracting #5: cost 0 inf + 108451
3.711 * * [simplify]: Extracting #6: cost 0 inf + 108160
3.731 * [simplify]: Simplified to (log (atan2 1 (+ (* N N) (+ N 1)))), (exp (atan2 1 (+ (* N N) (+ N 1)))), (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))), (cbrt (atan2 1 (+ (* N N) (+ N 1)))), (* (atan2 1 (+ (* N N) (+ N 1))) (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))), (sqrt (atan2 1 (+ (* N N) (+ N 1)))), (sqrt (atan2 1 (+ (* N N) (+ N 1)))), (real->posit16 (atan2 1 (+ (* N N) (+ N 1)))), (+ N (* N N)), (log (+ N (* N N))), (log (+ N (* N N))), (exp (+ (* N N) N)), (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))), (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))), (cbrt (+ N (* N N))), (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))), (sqrt (+ N (* N N))), (sqrt (+ N (* N N))), (* (sqrt N) (sqrt (+ N 1))), (* (sqrt N) (sqrt (+ N 1))), (* (cbrt N) (+ (* N (cbrt N)) (cbrt N))), (+ (* (sqrt N) N) (sqrt N)), (+ N 1), (* (cbrt (+ N 1)) N), (* N (sqrt (+ N 1))), (+ N (* N N)), (+ N (* N N)), (+ N (* (* N N) (* N N))), (* N (+ -1 (* N N))), (real->posit16 (+ N (* N N))), (atan2 1 (+ (* N N) (+ N 1))), (atan2 1 (+ (* N N) (+ N 1))), (atan2 1 (+ (* N N) (+ N 1))), (+ N (* N N)), (+ N (* N N)), (+ N (* N N))
3.732 * * * [progress]: adding candidates to table
3.991 * * [progress]: iteration 3 / 4
3.991 * * * [progress]: picking best candidate
4.005 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.005 * * * [progress]: localizing error
4.028 * * * [progress]: generating rewritten candidates
4.028 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
4.037 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2)
4.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
4.058 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
4.081 * * * [progress]: generating series expansions
4.081 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
4.081 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3)
4.081 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0
4.081 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N
4.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N
4.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N
4.081 * [taylor]: Taking taylor expansion of 1/3 in N
4.081 * [backup-simplify]: Simplify 1/3 into 1/3
4.081 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N
4.081 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
4.081 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.081 * [taylor]: Taking taylor expansion of N in N
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.081 * [taylor]: Taking taylor expansion of 1 in N
4.081 * [backup-simplify]: Simplify 1 into 1
4.081 * [taylor]: Taking taylor expansion of N in N
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify (+ 0 1) into 1
4.082 * [backup-simplify]: Simplify (* 1 0) into 0
4.082 * [backup-simplify]: Simplify (+ 1 0) into 1
4.083 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
4.083 * [backup-simplify]: Simplify (log 1) into 0
4.083 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.083 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.083 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.084 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N
4.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N
4.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N
4.084 * [taylor]: Taking taylor expansion of 1/3 in N
4.084 * [backup-simplify]: Simplify 1/3 into 1/3
4.084 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N
4.084 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
4.084 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.084 * [taylor]: Taking taylor expansion of N in N
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 1 into 1
4.084 * [taylor]: Taking taylor expansion of 1 in N
4.084 * [backup-simplify]: Simplify 1 into 1
4.084 * [taylor]: Taking taylor expansion of N in N
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 1 into 1
4.084 * [backup-simplify]: Simplify (+ 0 1) into 1
4.084 * [backup-simplify]: Simplify (* 1 0) into 0
4.085 * [backup-simplify]: Simplify (+ 1 0) into 1
4.085 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
4.085 * [backup-simplify]: Simplify (log 1) into 0
4.085 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.085 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.086 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.086 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.086 * [backup-simplify]: Simplify (+ 0 0) into 0
4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
4.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.088 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.088 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3
4.088 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3))
4.088 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3))
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.092 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.092 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6)
4.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3))
4.093 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3))
4.093 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3)))
4.094 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3)
4.094 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0
4.094 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N
4.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N
4.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N
4.094 * [taylor]: Taking taylor expansion of 1/3 in N
4.094 * [backup-simplify]: Simplify 1/3 into 1/3
4.094 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N
4.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
4.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.094 * [taylor]: Taking taylor expansion of N in N
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (/ 1 1) into 1
4.094 * [taylor]: Taking taylor expansion of 1 in N
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [taylor]: Taking taylor expansion of N in N
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (+ 1 0) into 1
4.095 * [backup-simplify]: Simplify (/ 1 1) into 1
4.095 * [backup-simplify]: Simplify (log 1) into 0
4.095 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.095 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.095 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.095 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N
4.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N
4.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N
4.095 * [taylor]: Taking taylor expansion of 1/3 in N
4.095 * [backup-simplify]: Simplify 1/3 into 1/3
4.095 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N
4.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.095 * [taylor]: Taking taylor expansion of N in N
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (/ 1 1) into 1
4.096 * [taylor]: Taking taylor expansion of 1 in N
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [taylor]: Taking taylor expansion of N in N
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (+ 1 0) into 1
4.096 * [backup-simplify]: Simplify (/ 1 1) into 1
4.096 * [backup-simplify]: Simplify (log 1) into 0
4.097 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.097 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.097 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.097 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (+ 0 1) into 1
4.098 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
4.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.099 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.100 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
4.100 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
4.100 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.101 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
4.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.103 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.104 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6)
4.105 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
4.105 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
4.105 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))
4.106 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1))
4.106 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.106 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.106 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N
4.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N
4.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N
4.106 * [taylor]: Taking taylor expansion of 1/3 in N
4.106 * [backup-simplify]: Simplify 1/3 into 1/3
4.106 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N
4.106 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
4.106 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.106 * [taylor]: Taking taylor expansion of 1 in N
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.106 * [taylor]: Taking taylor expansion of N in N
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (/ 1 1) into 1
4.106 * [taylor]: Taking taylor expansion of N in N
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.107 * [backup-simplify]: Simplify (- 1) into -1
4.107 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.107 * [backup-simplify]: Simplify (/ -1 1) into -1
4.107 * [backup-simplify]: Simplify (log -1) into (log -1)
4.108 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.108 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.108 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.108 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.108 * [taylor]: Taking taylor expansion of -1 in N
4.108 * [backup-simplify]: Simplify -1 into -1
4.109 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.109 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.109 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.109 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N
4.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N
4.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N
4.110 * [taylor]: Taking taylor expansion of 1/3 in N
4.110 * [backup-simplify]: Simplify 1/3 into 1/3
4.110 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N
4.110 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
4.110 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.110 * [taylor]: Taking taylor expansion of 1 in N
4.110 * [backup-simplify]: Simplify 1 into 1
4.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.110 * [taylor]: Taking taylor expansion of N in N
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.110 * [backup-simplify]: Simplify (/ 1 1) into 1
4.110 * [taylor]: Taking taylor expansion of N in N
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.110 * [backup-simplify]: Simplify (- 1) into -1
4.110 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.111 * [backup-simplify]: Simplify (/ -1 1) into -1
4.111 * [backup-simplify]: Simplify (log -1) into (log -1)
4.111 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.112 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.112 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.112 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.112 * [taylor]: Taking taylor expansion of -1 in N
4.112 * [backup-simplify]: Simplify -1 into -1
4.112 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.113 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.114 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.114 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (- 0) into 0
4.115 * [backup-simplify]: Simplify (+ 1 0) into 1
4.116 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
4.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
4.117 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.117 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3)
4.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.119 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.120 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.122 * [backup-simplify]: Simplify (- 0) into 0
4.123 * [backup-simplify]: Simplify (+ 0 0) into 0
4.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
4.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
4.127 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.129 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6)
4.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.133 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.134 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.138 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
4.138 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2)
4.139 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3)
4.139 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0
4.139 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N
4.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N
4.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N
4.139 * [taylor]: Taking taylor expansion of 1/3 in N
4.139 * [backup-simplify]: Simplify 1/3 into 1/3
4.139 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N
4.139 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
4.139 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.139 * [taylor]: Taking taylor expansion of N in N
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [taylor]: Taking taylor expansion of 1 in N
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [taylor]: Taking taylor expansion of N in N
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [backup-simplify]: Simplify (+ 0 1) into 1
4.140 * [backup-simplify]: Simplify (* 1 0) into 0
4.140 * [backup-simplify]: Simplify (+ 1 0) into 1
4.141 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
4.141 * [backup-simplify]: Simplify (log 1) into 0
4.142 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.142 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.142 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.142 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N
4.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N
4.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N
4.142 * [taylor]: Taking taylor expansion of 1/3 in N
4.142 * [backup-simplify]: Simplify 1/3 into 1/3
4.142 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N
4.142 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
4.142 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.142 * [taylor]: Taking taylor expansion of N in N
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [taylor]: Taking taylor expansion of 1 in N
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [taylor]: Taking taylor expansion of N in N
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (+ 0 1) into 1
4.143 * [backup-simplify]: Simplify (* 1 0) into 0
4.144 * [backup-simplify]: Simplify (+ 1 0) into 1
4.144 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
4.145 * [backup-simplify]: Simplify (log 1) into 0
4.145 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.145 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.145 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.145 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
4.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.148 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.149 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3
4.150 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3))
4.150 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3))
4.151 * [backup-simplify]: Simplify (+ 0 0) into 0
4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.156 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6)
4.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3))
4.157 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3))
4.158 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3)))
4.158 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3)
4.158 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0
4.158 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N
4.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N
4.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N
4.158 * [taylor]: Taking taylor expansion of 1/3 in N
4.158 * [backup-simplify]: Simplify 1/3 into 1/3
4.158 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N
4.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
4.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.158 * [taylor]: Taking taylor expansion of N in N
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 1 into 1
4.158 * [backup-simplify]: Simplify (/ 1 1) into 1
4.158 * [taylor]: Taking taylor expansion of 1 in N
4.158 * [backup-simplify]: Simplify 1 into 1
4.158 * [taylor]: Taking taylor expansion of N in N
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 1 into 1
4.159 * [backup-simplify]: Simplify (+ 1 0) into 1
4.159 * [backup-simplify]: Simplify (/ 1 1) into 1
4.159 * [backup-simplify]: Simplify (log 1) into 0
4.159 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.159 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.160 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.160 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N
4.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N
4.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N
4.160 * [taylor]: Taking taylor expansion of 1/3 in N
4.160 * [backup-simplify]: Simplify 1/3 into 1/3
4.160 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N
4.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
4.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.160 * [taylor]: Taking taylor expansion of N in N
4.160 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify 1 into 1
4.160 * [backup-simplify]: Simplify (/ 1 1) into 1
4.160 * [taylor]: Taking taylor expansion of 1 in N
4.160 * [backup-simplify]: Simplify 1 into 1
4.160 * [taylor]: Taking taylor expansion of N in N
4.160 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify 1 into 1
4.160 * [backup-simplify]: Simplify (+ 1 0) into 1
4.161 * [backup-simplify]: Simplify (/ 1 1) into 1
4.161 * [backup-simplify]: Simplify (log 1) into 0
4.161 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.161 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.161 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.161 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.162 * [backup-simplify]: Simplify (+ 0 1) into 1
4.163 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
4.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.164 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.164 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
4.164 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
4.165 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.165 * [backup-simplify]: Simplify (+ 0 0) into 0
4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.168 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.169 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6)
4.169 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
4.170 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
4.170 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))
4.170 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1))
4.170 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.170 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.170 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N
4.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N
4.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N
4.170 * [taylor]: Taking taylor expansion of 1/3 in N
4.170 * [backup-simplify]: Simplify 1/3 into 1/3
4.170 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N
4.170 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
4.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.170 * [taylor]: Taking taylor expansion of 1 in N
4.170 * [backup-simplify]: Simplify 1 into 1
4.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.170 * [taylor]: Taking taylor expansion of N in N
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 1 into 1
4.171 * [backup-simplify]: Simplify (/ 1 1) into 1
4.171 * [taylor]: Taking taylor expansion of N in N
4.171 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify 1 into 1
4.171 * [backup-simplify]: Simplify (- 1) into -1
4.171 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.171 * [backup-simplify]: Simplify (/ -1 1) into -1
4.172 * [backup-simplify]: Simplify (log -1) into (log -1)
4.172 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.172 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.173 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.173 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.173 * [taylor]: Taking taylor expansion of -1 in N
4.173 * [backup-simplify]: Simplify -1 into -1
4.173 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.173 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.174 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.174 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N
4.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N
4.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N
4.174 * [taylor]: Taking taylor expansion of 1/3 in N
4.174 * [backup-simplify]: Simplify 1/3 into 1/3
4.174 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N
4.174 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
4.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.174 * [taylor]: Taking taylor expansion of 1 in N
4.174 * [backup-simplify]: Simplify 1 into 1
4.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.174 * [taylor]: Taking taylor expansion of N in N
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (/ 1 1) into 1
4.174 * [taylor]: Taking taylor expansion of N in N
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (- 1) into -1
4.174 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.175 * [backup-simplify]: Simplify (/ -1 1) into -1
4.175 * [backup-simplify]: Simplify (log -1) into (log -1)
4.175 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.176 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.176 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.176 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.176 * [taylor]: Taking taylor expansion of -1 in N
4.176 * [backup-simplify]: Simplify -1 into -1
4.176 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.178 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.179 * [backup-simplify]: Simplify (- 0) into 0
4.179 * [backup-simplify]: Simplify (+ 1 0) into 1
4.183 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
4.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
4.184 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.185 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3)
4.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.186 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.187 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify (- 0) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
4.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
4.193 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.194 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6)
4.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.199 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.200 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.204 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
4.204 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
4.204 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3)
4.204 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0
4.204 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N
4.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N
4.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N
4.204 * [taylor]: Taking taylor expansion of 1/3 in N
4.204 * [backup-simplify]: Simplify 1/3 into 1/3
4.204 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N
4.204 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
4.204 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.204 * [taylor]: Taking taylor expansion of N in N
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.204 * [taylor]: Taking taylor expansion of 1 in N
4.204 * [backup-simplify]: Simplify 1 into 1
4.204 * [taylor]: Taking taylor expansion of N in N
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (+ 0 1) into 1
4.205 * [backup-simplify]: Simplify (* 1 0) into 0
4.206 * [backup-simplify]: Simplify (+ 1 0) into 1
4.206 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
4.207 * [backup-simplify]: Simplify (log 1) into 0
4.207 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.207 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.207 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.207 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N
4.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N
4.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N
4.207 * [taylor]: Taking taylor expansion of 1/3 in N
4.207 * [backup-simplify]: Simplify 1/3 into 1/3
4.207 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N
4.207 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
4.207 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.207 * [taylor]: Taking taylor expansion of N in N
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 1 into 1
4.207 * [taylor]: Taking taylor expansion of 1 in N
4.207 * [backup-simplify]: Simplify 1 into 1
4.207 * [taylor]: Taking taylor expansion of N in N
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 1 into 1
4.208 * [backup-simplify]: Simplify (+ 0 1) into 1
4.208 * [backup-simplify]: Simplify (* 1 0) into 0
4.209 * [backup-simplify]: Simplify (+ 1 0) into 1
4.209 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
4.209 * [backup-simplify]: Simplify (log 1) into 0
4.210 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.210 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N))
4.210 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
4.210 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3)
4.211 * [backup-simplify]: Simplify (+ 0 0) into 0
4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
4.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.213 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.213 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3
4.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3))
4.214 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3))
4.214 * [backup-simplify]: Simplify (+ 0 0) into 0
4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.217 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
4.217 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6)
4.218 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3))
4.218 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3))
4.218 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3)))
4.218 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3)
4.218 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0
4.218 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N
4.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N
4.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N
4.219 * [taylor]: Taking taylor expansion of 1/3 in N
4.219 * [backup-simplify]: Simplify 1/3 into 1/3
4.219 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N
4.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
4.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.219 * [taylor]: Taking taylor expansion of N in N
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify 1 into 1
4.219 * [backup-simplify]: Simplify (/ 1 1) into 1
4.219 * [taylor]: Taking taylor expansion of 1 in N
4.219 * [backup-simplify]: Simplify 1 into 1
4.219 * [taylor]: Taking taylor expansion of N in N
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify 1 into 1
4.219 * [backup-simplify]: Simplify (+ 1 0) into 1
4.219 * [backup-simplify]: Simplify (/ 1 1) into 1
4.220 * [backup-simplify]: Simplify (log 1) into 0
4.220 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.220 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.220 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.220 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N
4.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N
4.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N
4.220 * [taylor]: Taking taylor expansion of 1/3 in N
4.220 * [backup-simplify]: Simplify 1/3 into 1/3
4.220 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N
4.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
4.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.220 * [taylor]: Taking taylor expansion of N in N
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [backup-simplify]: Simplify 1 into 1
4.220 * [backup-simplify]: Simplify (/ 1 1) into 1
4.221 * [taylor]: Taking taylor expansion of 1 in N
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [taylor]: Taking taylor expansion of N in N
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [backup-simplify]: Simplify (+ 1 0) into 1
4.221 * [backup-simplify]: Simplify (/ 1 1) into 1
4.221 * [backup-simplify]: Simplify (log 1) into 0
4.222 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.222 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
4.222 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
4.222 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.223 * [backup-simplify]: Simplify (+ 0 1) into 1
4.223 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
4.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
4.224 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.224 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
4.225 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
4.225 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.226 * [backup-simplify]: Simplify (+ 0 0) into 0
4.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
4.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
4.228 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
4.228 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6)
4.229 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
4.229 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
4.230 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))
4.230 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1))
4.230 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0
4.230 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.230 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N
4.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N
4.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N
4.230 * [taylor]: Taking taylor expansion of 1/3 in N
4.230 * [backup-simplify]: Simplify 1/3 into 1/3
4.230 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N
4.230 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
4.230 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.230 * [taylor]: Taking taylor expansion of 1 in N
4.230 * [backup-simplify]: Simplify 1 into 1
4.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.230 * [taylor]: Taking taylor expansion of N in N
4.230 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify 1 into 1
4.230 * [backup-simplify]: Simplify (/ 1 1) into 1
4.230 * [taylor]: Taking taylor expansion of N in N
4.230 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify 1 into 1
4.231 * [backup-simplify]: Simplify (- 1) into -1
4.231 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.231 * [backup-simplify]: Simplify (/ -1 1) into -1
4.231 * [backup-simplify]: Simplify (log -1) into (log -1)
4.232 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.232 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.232 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.233 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.233 * [taylor]: Taking taylor expansion of -1 in N
4.233 * [backup-simplify]: Simplify -1 into -1
4.233 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.233 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.233 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N
4.233 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N
4.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N
4.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N
4.233 * [taylor]: Taking taylor expansion of 1/3 in N
4.233 * [backup-simplify]: Simplify 1/3 into 1/3
4.233 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N
4.233 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
4.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.233 * [taylor]: Taking taylor expansion of 1 in N
4.233 * [backup-simplify]: Simplify 1 into 1
4.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.233 * [taylor]: Taking taylor expansion of N in N
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 1 into 1
4.234 * [backup-simplify]: Simplify (/ 1 1) into 1
4.234 * [taylor]: Taking taylor expansion of N in N
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 1 into 1
4.234 * [backup-simplify]: Simplify (- 1) into -1
4.234 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.235 * [backup-simplify]: Simplify (/ -1 1) into -1
4.235 * [backup-simplify]: Simplify (log -1) into (log -1)
4.235 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.236 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
4.236 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
4.236 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.236 * [taylor]: Taking taylor expansion of -1 in N
4.236 * [backup-simplify]: Simplify -1 into -1
4.236 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.237 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.237 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.238 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.239 * [backup-simplify]: Simplify (- 0) into 0
4.239 * [backup-simplify]: Simplify (+ 1 0) into 1
4.239 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
4.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
4.241 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.241 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3)
4.243 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.244 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.245 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.248 * [backup-simplify]: Simplify (- 0) into 0
4.249 * [backup-simplify]: Simplify (+ 0 0) into 0
4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
4.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
4.254 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
4.255 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6)
4.257 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
4.259 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.261 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
4.265 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))
4.265 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
4.266 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) into (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3)
4.266 * [approximate]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in (N) around 0
4.266 * [taylor]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in N
4.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2))))) in N
4.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2)))) in N
4.266 * [taylor]: Taking taylor expansion of 1/3 in N
4.266 * [backup-simplify]: Simplify 1/3 into 1/3
4.266 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 2) (pow N 2))) in N
4.266 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 2) (pow N 2)) in N
4.266 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N
4.266 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.266 * [taylor]: Taking taylor expansion of N in N
4.266 * [backup-simplify]: Simplify 0 into 0
4.266 * [backup-simplify]: Simplify 1 into 1
4.266 * [taylor]: Taking taylor expansion of 1 in N
4.266 * [backup-simplify]: Simplify 1 into 1
4.267 * [backup-simplify]: Simplify (+ 0 1) into 1
4.267 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.267 * [taylor]: Taking taylor expansion of N in N
4.267 * [backup-simplify]: Simplify 0 into 0
4.267 * [backup-simplify]: Simplify 1 into 1
4.267 * [backup-simplify]: Simplify (* 1 1) into 1
4.268 * [backup-simplify]: Simplify (* 1 1) into 1
4.268 * [backup-simplify]: Simplify (* 1 1) into 1
4.268 * [backup-simplify]: Simplify (log 1) into 0
4.269 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.269 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
4.269 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
4.269 * [taylor]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in N
4.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2))))) in N
4.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2)))) in N
4.269 * [taylor]: Taking taylor expansion of 1/3 in N
4.269 * [backup-simplify]: Simplify 1/3 into 1/3
4.269 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 2) (pow N 2))) in N
4.269 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 2) (pow N 2)) in N
4.269 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N
4.270 * [taylor]: Taking taylor expansion of (+ N 1) in N
4.270 * [taylor]: Taking taylor expansion of N in N
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.270 * [taylor]: Taking taylor expansion of 1 in N
4.270 * [backup-simplify]: Simplify 1 into 1
4.270 * [backup-simplify]: Simplify (+ 0 1) into 1
4.270 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.270 * [taylor]: Taking taylor expansion of N in N
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.271 * [backup-simplify]: Simplify (* 1 1) into 1
4.271 * [backup-simplify]: Simplify (* 1 1) into 1
4.272 * [backup-simplify]: Simplify (* 1 1) into 1
4.272 * [backup-simplify]: Simplify (log 1) into 0
4.273 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.273 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N))
4.273 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3)
4.273 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3)
4.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.274 * [backup-simplify]: Simplify (+ 1 0) into 1
4.275 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
4.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 2 1)) into 2
4.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
4.278 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.278 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (* 2 (log N)))) into 2/3
4.279 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (pow N 2) 1/3))
4.279 * [backup-simplify]: Simplify (* 2/3 (pow (pow N 2) 1/3)) into (* 2/3 (pow (pow N 2) 1/3))
4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.280 * [backup-simplify]: Simplify (+ 0 0) into 0
4.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1
4.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 2 0) (* 1 1))) into 1
4.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
4.287 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N))
4.287 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (* 2 (log N))))) into (- 1/3)
4.289 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (pow N 2) 1/3))
4.289 * [backup-simplify]: Simplify (* -1/9 (pow (pow N 2) 1/3)) into (* -1/9 (pow (pow N 2) 1/3))
4.290 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (pow N 2) 1/3)) (pow N 2)) (+ (* (* 2/3 (pow (pow N 2) 1/3)) N) (pow N 2/3))) into (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow N 2/3)) (* 1/9 (pow (pow N 8) 1/3)))
4.290 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3)
4.290 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in (N) around 0
4.290 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N
4.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N
4.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N
4.290 * [taylor]: Taking taylor expansion of 1/3 in N
4.290 * [backup-simplify]: Simplify 1/3 into 1/3
4.290 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N
4.290 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N
4.290 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N
4.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.290 * [taylor]: Taking taylor expansion of N in N
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 1 into 1
4.291 * [backup-simplify]: Simplify (/ 1 1) into 1
4.291 * [taylor]: Taking taylor expansion of 1 in N
4.291 * [backup-simplify]: Simplify 1 into 1
4.291 * [backup-simplify]: Simplify (+ 1 0) into 1
4.291 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.291 * [taylor]: Taking taylor expansion of N in N
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 1 into 1
4.292 * [backup-simplify]: Simplify (* 1 1) into 1
4.292 * [backup-simplify]: Simplify (* 1 1) into 1
4.293 * [backup-simplify]: Simplify (/ 1 1) into 1
4.293 * [backup-simplify]: Simplify (log 1) into 0
4.293 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.293 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.294 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.294 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N
4.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N
4.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N
4.294 * [taylor]: Taking taylor expansion of 1/3 in N
4.294 * [backup-simplify]: Simplify 1/3 into 1/3
4.294 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N
4.294 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N
4.294 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N
4.294 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
4.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.294 * [taylor]: Taking taylor expansion of N in N
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify (/ 1 1) into 1
4.294 * [taylor]: Taking taylor expansion of 1 in N
4.294 * [backup-simplify]: Simplify 1 into 1
4.295 * [backup-simplify]: Simplify (+ 1 0) into 1
4.295 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.295 * [taylor]: Taking taylor expansion of N in N
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 1 into 1
4.295 * [backup-simplify]: Simplify (* 1 1) into 1
4.296 * [backup-simplify]: Simplify (* 1 1) into 1
4.296 * [backup-simplify]: Simplify (/ 1 1) into 1
4.296 * [backup-simplify]: Simplify (log 1) into 0
4.297 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.297 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.297 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.297 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.298 * [backup-simplify]: Simplify (+ 0 1) into 1
4.299 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
4.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.301 * [backup-simplify]: Simplify (- (/ 2 1) (+ (* 1 (/ 0 1)))) into 2
4.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
4.302 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.303 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3
4.306 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3))
4.306 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3))
4.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.308 * [backup-simplify]: Simplify (+ 0 0) into 0
4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1
4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.311 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* 2 (/ 0 1)))) into 1
4.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
4.314 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.315 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into (- 1/3)
4.316 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3))
4.317 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3))
4.317 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 2/3 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 1/9 (pow (/ 1 (pow N 2)) 1/3)))
4.318 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2))
4.318 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0
4.318 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.318 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N
4.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N
4.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N
4.318 * [taylor]: Taking taylor expansion of 1/3 in N
4.318 * [backup-simplify]: Simplify 1/3 into 1/3
4.318 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N
4.318 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N
4.318 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N
4.318 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.318 * [taylor]: Taking taylor expansion of 1 in N
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.318 * [taylor]: Taking taylor expansion of N in N
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.319 * [backup-simplify]: Simplify (/ 1 1) into 1
4.319 * [backup-simplify]: Simplify (- 1) into -1
4.320 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.320 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.320 * [taylor]: Taking taylor expansion of N in N
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 1 into 1
4.320 * [backup-simplify]: Simplify (* -1 -1) into 1
4.320 * [backup-simplify]: Simplify (* 1 1) into 1
4.321 * [backup-simplify]: Simplify (/ 1 1) into 1
4.321 * [backup-simplify]: Simplify (log 1) into 0
4.322 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.322 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.322 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.322 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.322 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.322 * [taylor]: Taking taylor expansion of -1 in N
4.322 * [backup-simplify]: Simplify -1 into -1
4.322 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.323 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.323 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N
4.323 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N
4.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N
4.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N
4.323 * [taylor]: Taking taylor expansion of 1/3 in N
4.323 * [backup-simplify]: Simplify 1/3 into 1/3
4.323 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N
4.323 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N
4.323 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N
4.323 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
4.323 * [taylor]: Taking taylor expansion of 1 in N
4.323 * [backup-simplify]: Simplify 1 into 1
4.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N
4.324 * [taylor]: Taking taylor expansion of N in N
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [backup-simplify]: Simplify (/ 1 1) into 1
4.324 * [backup-simplify]: Simplify (- 1) into -1
4.325 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.325 * [taylor]: Taking taylor expansion of (pow N 2) in N
4.325 * [taylor]: Taking taylor expansion of N in N
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [backup-simplify]: Simplify (* -1 -1) into 1
4.326 * [backup-simplify]: Simplify (* 1 1) into 1
4.326 * [backup-simplify]: Simplify (/ 1 1) into 1
4.326 * [backup-simplify]: Simplify (log 1) into 0
4.327 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.327 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
4.327 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
4.327 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N
4.327 * [taylor]: Taking taylor expansion of (cbrt -1) in N
4.327 * [taylor]: Taking taylor expansion of -1 in N
4.327 * [backup-simplify]: Simplify -1 into -1
4.327 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.328 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.330 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
4.331 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
4.332 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))
4.333 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.334 * [backup-simplify]: Simplify (- 0) into 0
4.334 * [backup-simplify]: Simplify (+ 1 0) into 1
4.335 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2
4.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.336 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 0 1)))) into -2
4.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
4.338 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.339 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3)
4.340 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3))
4.341 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (* (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2))) into (- (* 2/3 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.342 * [backup-simplify]: Simplify (- (* 2/3 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 2/3 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.345 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (- 0) into 0
4.347 * [backup-simplify]: Simplify (+ 0 0) into 0
4.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1
4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.350 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)))) into 1
4.353 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
4.353 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
4.354 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into (- 1/3)
4.356 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3))
4.358 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (+ (* (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 0) (* (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2)))) into (- (* 1/9 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.359 * [backup-simplify]: Simplify (- (* 1/9 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 1/9 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2))))
4.364 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (/ 1 (- N))) (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) into (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 2/3 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 1/9 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))))
4.364 * * * [progress]: simplifying candidates
4.364 * * * * [progress]: [ 1 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (pow (* (+ N 1) N) 1/3)))))>
4.364 * * * * [progress]: [ 2 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (pow (cbrt (* (+ N 1) N)) 1)))))>
4.364 * * * * [progress]: [ 3 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (exp (log (cbrt (* (+ N 1) N))))))))>
4.364 * * * * [progress]: [ 4 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (log (exp (cbrt (* (+ N 1) N))))))))>
4.364 * * * * [progress]: [ 5 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (+ N 1)) (cbrt N))))))>
4.364 * * * * [progress]: [ 6 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (/ (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))))))>
4.365 * * * * [progress]: [ 7 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (/ (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)))))))>
4.365 * * * * [progress]: [ 8 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))))))))>
4.365 * * * * [progress]: [ 9 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))))>
4.365 * * * * [progress]: [ 10 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))))))))>
4.365 * * * * [progress]: [ 11 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* 1 (cbrt (* (+ N 1) N)))))))>
4.365 * * * * [progress]: [ 12 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (posit16->real (real->posit16 (cbrt (* (+ N 1) N))))))))>
4.365 * * * * [progress]: [ 13 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (pow (* (+ N 1) N) 1/3)) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 14 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (pow (cbrt (* (+ N 1) N)) 1)) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 15 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (exp (log (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (log (exp (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 17 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (* (cbrt (+ N 1)) (cbrt N))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 18 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (/ (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 19 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (/ (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 20 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 21 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.365 * * * * [progress]: [ 22 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 23 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (* 1 (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 24 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (posit16->real (real->posit16 (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 25 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (pow (* (+ N 1) N) 1/3) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 26 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (pow (cbrt (* (+ N 1) N)) 1) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 27 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (exp (log (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 28 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (log (exp (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 29 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ N 1)) (cbrt N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 30 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (/ (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 31 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (/ (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 33 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 34 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 35 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* 1 (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 36 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (posit16->real (real->posit16 (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 37 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (+ N 1) N) (+ 1/3 1/3)) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 38 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (* (+ N 1) N)) (+ 1 1)) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 39 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (* (+ N 1) N) (* (+ N 1) N)) 1/3) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 40 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) 1) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 41 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (* (+ N 1) N)) 2) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 42 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (* (+ N 1) N)) (+ 1 1)) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 43 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) 1) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 44 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (+ (log (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 45 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (log (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 46 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (log (exp (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 47 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (* (+ N 1) N) (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 48 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.366 * * * * [progress]: [ 49 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 50 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 51 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 52 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 53 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (- N 1)) (cbrt (- N 1)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 55 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* 1 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 56 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 57 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 58 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 59 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* 1 1) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 60 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 61 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (+ N 1) N) (* 2 1/3)) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 62 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (* (+ N 1) N)) (* 2 1)) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 63 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (+ N 1) N)) (cbrt (+ N 1))) (cbrt N)) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 64 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (+ N 1) N)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 65 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (+ N 1) N)) (sqrt (cbrt (* (+ N 1) N)))) (sqrt (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 66 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (+ N 1) N)) 1) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 67 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (* (cbrt N) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 68 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 69 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (cbrt (* (+ N 1) N))) (* (sqrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 70 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* 1 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 71 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 72 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (cbrt (- N 1))) (cbrt (* (+ N 1) N))))))>
4.367 * * * * [progress]: [ 73 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ N 1) N))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 74 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ N 1) N))) (cbrt (- N 1))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (posit16->real (real->posit16 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 77 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3)))))))>
4.368 * * * * [progress]: [ 78 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
4.368 * * * * [progress]: [ 79 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))))))>
4.368 * * * * [progress]: [ 80 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3)))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 81 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 82 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 83 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 84 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 85 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 86 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow N 2/3)) (* 1/9 (pow (pow N 8) 1/3))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 87 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* 2/3 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (cbrt (* (+ N 1) N))))))>
4.368 * * * * [progress]: [ 88 / 88 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 2/3 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 1/9 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) (cbrt (* (+ N 1) N))))))>
4.369 * [simplify]: Simplifying (log (cbrt (* (+ N 1) N))), (exp (cbrt (* (+ N 1) N))), (cbrt (+ N 1)), (cbrt N), (cbrt (* (+ (pow N 3) (pow 1 3)) N)), (cbrt (+ (* N N) (- (* 1 1) (* N 1)))), (cbrt (* (- (* N N) (* 1 1)) N)), (cbrt (- N 1)), (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))), (cbrt (cbrt (* (+ N 1) N))), (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))), (sqrt (cbrt (* (+ N 1) N))), (sqrt (cbrt (* (+ N 1) N))), (real->posit16 (cbrt (* (+ N 1) N))), (log (cbrt (* (+ N 1) N))), (exp (cbrt (* (+ N 1) N))), (cbrt (+ N 1)), (cbrt N), (cbrt (* (+ (pow N 3) (pow 1 3)) N)), (cbrt (+ (* N N) (- (* 1 1) (* N 1)))), (cbrt (* (- (* N N) (* 1 1)) N)), (cbrt (- N 1)), (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))), (cbrt (cbrt (* (+ N 1) N))), (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))), (sqrt (cbrt (* (+ N 1) N))), (sqrt (cbrt (* (+ N 1) N))), (real->posit16 (cbrt (* (+ N 1) N))), (log (cbrt (* (+ N 1) N))), (exp (cbrt (* (+ N 1) N))), (cbrt (+ N 1)), (cbrt N), (cbrt (* (+ (pow N 3) (pow 1 3)) N)), (cbrt (+ (* N N) (- (* 1 1) (* N 1)))), (cbrt (* (- (* N N) (* 1 1)) N)), (cbrt (- N 1)), (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))), (cbrt (cbrt (* (+ N 1) N))), (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))), (sqrt (cbrt (* (+ N 1) N))), (sqrt (cbrt (* (+ N 1) N))), (real->posit16 (cbrt (* (+ N 1) N))), (+ 1/3 1/3), (+ 1 1), (* (* (+ N 1) N) (* (+ N 1) N)), (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))), (+ 1 1), (+ (log (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N)))), (log (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (exp (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (* (* (+ N 1) N) (* (+ N 1) N)), (* (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))), (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (* (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))), (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))), (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (- (* N N) (* 1 1)) N))), (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))), (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))), (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))), (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (- (* N N) (* 1 1)) N))), (* (cbrt (- N 1)) (cbrt (- N 1))), (* (cbrt (+ N 1)) (cbrt (+ N 1))), (* (cbrt N) (cbrt N)), (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))), (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))), (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))), (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))), (* 1 1), (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))), (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))), (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))), (* 2 1/3), (* 2 1), (* (cbrt (* (+ N 1) N)) (cbrt (+ N 1))), (* (cbrt (* (+ N 1) N)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))), (* (cbrt (* (+ N 1) N)) (sqrt (cbrt (* (+ N 1) N)))), (* (cbrt (* (+ N 1) N)) 1), (* (cbrt N) (cbrt (* (+ N 1) N))), (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))), (* (sqrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))), (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))), (* (cbrt (* (+ N 1) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))), (* (cbrt (* (+ N 1) N)) (cbrt (* (- (* N N) (* 1 1)) N))), (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ N 1) N))), (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ N 1) N))), (real->posit16 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))), (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))), (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))), (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))), (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))), (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))), (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))), (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))), (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))), (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))), (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow N 2/3)) (* 1/9 (pow (pow N 8) 1/3))), (- (+ (* 2/3 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))), (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 2/3 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 1/9 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2))))
4.370 * * [simplify]: iteration 1: (138 enodes)
4.433 * * [simplify]: iteration 2: (578 enodes)
4.600 * * [simplify]: iteration 3: (1202 enodes)
5.254 * * [simplify]: Extracting #0: cost 46 inf + 0
5.255 * * [simplify]: Extracting #1: cost 206 inf + 3
5.256 * * [simplify]: Extracting #2: cost 442 inf + 1068
5.260 * * [simplify]: Extracting #3: cost 559 inf + 11201
5.268 * * [simplify]: Extracting #4: cost 407 inf + 58666
5.295 * * [simplify]: Extracting #5: cost 279 inf + 109646
5.323 * * [simplify]: Extracting #6: cost 163 inf + 158913
5.365 * * [simplify]: Extracting #7: cost 115 inf + 176607
5.418 * * [simplify]: Extracting #8: cost 61 inf + 201265
5.461 * * [simplify]: Extracting #9: cost 7 inf + 232227
5.497 * * [simplify]: Extracting #10: cost 0 inf + 230966
5.535 * * [simplify]: Extracting #11: cost 0 inf + 230386
5.578 * [simplify]: Simplified to (log (cbrt (+ (* N N) N))), (exp (cbrt (+ (* N N) N))), (cbrt (+ 1 N)), (cbrt N), (cbrt (+ N (* (* N N) (* N N)))), (cbrt (- (+ 1 (* N N)) N)), (cbrt (* (- (* N N) 1) N)), (cbrt (- N 1)), (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))), (cbrt (cbrt (+ (* N N) N))), (+ (* N N) N), (sqrt (cbrt (+ (* N N) N))), (sqrt (cbrt (+ (* N N) N))), (real->posit16 (cbrt (+ (* N N) N))), (log (cbrt (+ (* N N) N))), (exp (cbrt (+ (* N N) N))), (cbrt (+ 1 N)), (cbrt N), (cbrt (+ N (* (* N N) (* N N)))), (cbrt (- (+ 1 (* N N)) N)), (cbrt (* (- (* N N) 1) N)), (cbrt (- N 1)), (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))), (cbrt (cbrt (+ (* N N) N))), (+ (* N N) N), (sqrt (cbrt (+ (* N N) N))), (sqrt (cbrt (+ (* N N) N))), (real->posit16 (cbrt (+ (* N N) N))), (log (cbrt (+ (* N N) N))), (exp (cbrt (+ (* N N) N))), (cbrt (+ 1 N)), (cbrt N), (cbrt (+ N (* (* N N) (* N N)))), (cbrt (- (+ 1 (* N N)) N)), (cbrt (* (- (* N N) 1) N)), (cbrt (- N 1)), (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))), (cbrt (cbrt (+ (* N N) N))), (+ (* N N) N), (sqrt (cbrt (+ (* N N) N))), (sqrt (cbrt (+ (* N N) N))), (real->posit16 (cbrt (+ (* N N) N))), 2/3, 2, (* (+ (* N N) N) (+ (* N N) N)), (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))), 2, (log (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))), (log (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))), (exp (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))), (* (+ (* N N) N) (+ (* N N) N)), (* (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))))), (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))), (* (+ (* N N) N) (+ (* N N) N)), (fabs (cbrt (+ (* N N) N))), (fabs (cbrt (+ (* N N) N))), (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* (* N N) (* N N))))), (* (cbrt (- (+ 1 (* N N)) N)) (cbrt (- (+ 1 (* N N)) N))), (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (* (- (* N N) 1) N))), (* (cbrt (- N 1)) (cbrt (- (+ 1 (* N N)) N))), (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (* (- (* N N) 1) N))), (* (cbrt (- N 1)) (cbrt (- (+ 1 (* N N)) N))), (* (cbrt (* (- (* N N) 1) N)) (cbrt (* (- (* N N) 1) N))), (* (cbrt (- N 1)) (cbrt (- N 1))), (* (cbrt (+ 1 N)) (cbrt (+ 1 N))), (* (cbrt N) (cbrt N)), (* (cbrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))), (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))), (cbrt (+ (* N N) N)), (cbrt (+ (* N N) N)), 1, (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))), (cbrt (+ (* N N) N)), (cbrt (+ (* N N) N)), 2/3, 2, (* (cbrt (+ 1 N)) (cbrt (+ (* N N) N))), (* (* (cbrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))), (* (sqrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))), (cbrt (+ (* N N) N)), (* (cbrt (+ (* N N) N)) (cbrt N)), (* (cbrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))), (* (sqrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))), (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))), (* (cbrt (+ (* N N) N)) (cbrt (+ N (* (* N N) (* N N))))), (* (cbrt (+ (* N N) N)) (cbrt (* (- (* N N) 1) N))), (* (cbrt (+ (* N N) N)) (cbrt (+ N (* (* N N) (* N N))))), (* (cbrt (+ (* N N) N)) (cbrt (* (- (* N N) 1) N))), (real->posit16 (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))), (+ (+ (* (cbrt (* (* N N) (* N N))) 1/3) (* (cbrt (pow N 7)) -1/9)) (cbrt N)), (+ (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/9)), (+ (* (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N))))))) N) (- 1/3 (/ 1/9 N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))), (+ (+ (* (cbrt (* (* N N) (* N N))) 1/3) (* (cbrt (pow N 7)) -1/9)) (cbrt N)), (+ (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/9)), (+ (* (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N))))))) N) (- 1/3 (/ 1/9 N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))), (+ (+ (* (cbrt (* (* N N) (* N N))) 1/3) (* (cbrt (pow N 7)) -1/9)) (cbrt N)), (+ (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/9)), (+ (* (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N))))))) N) (- 1/3 (/ 1/9 N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))), (- (* (cbrt N) (cbrt N)) (- (* 1/9 (cbrt (* (* (* N N) (* N N)) (* (* N N) (* N N))))) (* 2/3 (cbrt (pow N 5))))), (- (+ (* 2/3 (cbrt N)) (pow (/ 1 N) -4/3)) (* 1/9 (cbrt (/ (/ 1 N) N)))), (* (* (cbrt -1) (cbrt -1)) (+ (- (* 2/3 (cbrt N)) (* 1/9 (cbrt (/ (/ 1 N) N)))) (cbrt (* (* N N) (* N N)))))
5.585 * * * [progress]: adding candidates to table
6.335 * * [progress]: iteration 4 / 4
6.335 * * * [progress]: picking best candidate
6.344 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.344 * * * [progress]: localizing error
6.379 * * * [progress]: generating rewritten candidates
6.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
6.381 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
6.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
6.394 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
6.395 * * * [progress]: generating series expansions
6.395 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
6.395 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.396 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
6.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.396 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.396 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.396 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.396 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.396 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.396 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.396 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.396 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.397 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.398 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.400 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.400 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
6.400 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.400 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.400 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.400 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.401 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.401 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.401 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.401 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.401 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.401 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.402 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.402 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.403 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.405 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.405 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
6.405 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.405 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.405 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.405 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.405 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.405 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.405 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.405 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.406 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.406 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.408 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.409 * [backup-simplify]: Simplify 0 into 0
6.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.410 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.411 * [backup-simplify]: Simplify 0 into 0
6.412 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
6.412 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.412 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
6.412 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.412 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.412 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.412 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.413 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
6.413 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.413 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.413 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.414 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.414 * [backup-simplify]: Simplify 0 into 0
6.415 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.415 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.416 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.418 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.419 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.420 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
6.420 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.420 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.420 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.420 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.420 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
6.420 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.421 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.421 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.421 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
6.421 * [backup-simplify]: Simplify 0 into 0
6.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.422 * [backup-simplify]: Simplify 0 into 0
6.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.423 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.425 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.426 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
6.427 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.428 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.428 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
6.428 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.428 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.428 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.429 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.429 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
6.429 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.429 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.429 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.430 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.431 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.432 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.432 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
6.433 * * * * [progress]: [ 3 / 4 ] generating series at (2)
6.433 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.434 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
6.434 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.434 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.434 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.434 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.434 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.434 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.434 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
6.434 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.434 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.435 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.435 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.435 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.435 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.435 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
6.435 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.435 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.435 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.436 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.436 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
6.436 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.436 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
6.436 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.436 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.436 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
6.436 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.436 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.437 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.437 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
6.437 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.437 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.437 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
6.437 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.437 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.438 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.438 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
6.438 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.438 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.438 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
6.438 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.438 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
6.438 * * * [progress]: simplifying candidates
6.438 * * * * [progress]: [ 1 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
6.438 * * * * [progress]: [ 2 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
6.439 * * * * [progress]: [ 3 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 4 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 5 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 6 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 7 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 8 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 9 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.439 * * * * [progress]: [ 10 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
6.439 * * * * [progress]: [ 11 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 12 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.439 * * * * [progress]: [ 13 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.439 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.439 * * * * [progress]: [ 15 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 16 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 17 / 98 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 18 / 98 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 19 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 20 / 98 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 21 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 22 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 23 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 24 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 25 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 26 / 98 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 27 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.439 * * * * [progress]: [ 29 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
6.440 * * * * [progress]: [ 30 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (/ 1 2))))>
6.440 * * * * [progress]: [ 31 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
6.440 * * * * [progress]: [ 32 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) 1/2)))>
6.440 * * * * [progress]: [ 33 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (/ 1 2))))>
6.440 * * * * [progress]: [ 34 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
6.440 * * * * [progress]: [ 35 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
6.440 * * * * [progress]: [ 36 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2)))>
6.440 * * * * [progress]: [ 37 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
6.440 * * * * [progress]: [ 38 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
6.440 * * * * [progress]: [ 39 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
6.440 * * * * [progress]: [ 40 / 98 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 41 / 98 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 42 / 98 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 43 / 98 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 44 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 45 / 98 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 46 / 98 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.440 * * * * [progress]: [ 47 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 48 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
6.440 * * * * [progress]: [ 49 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.440 * * * * [progress]: [ 50 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 51 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 52 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 53 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 54 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.440 * * * * [progress]: [ 55 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 56 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.440 * * * * [progress]: [ 57 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 58 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 59 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 60 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 61 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 62 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 1/2)))>
6.441 * * * * [progress]: [ 63 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 2 1)))>
6.441 * * * * [progress]: [ 64 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 (/ 1 2))))>
6.441 * * * * [progress]: [ 65 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 66 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 67 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 68 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.441 * * * * [progress]: [ 69 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 70 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.441 * * * * [progress]: [ 71 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 72 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 73 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 74 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 75 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 76 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.441 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 78 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.441 * * * * [progress]: [ 79 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
6.441 * * * * [progress]: [ 80 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 81 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 82 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 83 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 84 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.441 * * * * [progress]: [ 85 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
6.442 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
6.442 * * * * [progress]: [ 87 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.442 * * * * [progress]: [ 88 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.442 * * * * [progress]: [ 89 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.442 * * * * [progress]: [ 90 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.442 * * * * [progress]: [ 91 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.442 * * * * [progress]: [ 92 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
6.442 * * * * [progress]: [ 93 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
6.442 * * * * [progress]: [ 94 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
6.442 * * * * [progress]: [ 95 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
6.442 * * * * [progress]: [ 96 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.442 * * * * [progress]: [ 97 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.442 * * * * [progress]: [ 98 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
6.443 * [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 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(sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))), (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))), (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))), (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))), (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))), (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))), (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))), (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 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(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)))
6.444 * * [simplify]: iteration 1: (65 enodes)
6.468 * * [simplify]: iteration 2: (212 enodes)
6.526 * * [simplify]: iteration 3: (320 enodes)
6.624 * * [simplify]: iteration 4: (516 enodes)
6.780 * * [simplify]: iteration 5: (972 enodes)
8.243 * * [simplify]: Extracting #0: cost 26 inf + 0
8.244 * * [simplify]: Extracting #1: cost 249 inf + 3
8.247 * * [simplify]: Extracting #2: cost 686 inf + 11
8.251 * * [simplify]: Extracting #3: cost 693 inf + 3906
8.267 * * [simplify]: Extracting #4: cost 512 inf + 103012
8.378 * * [simplify]: Extracting #5: cost 86 inf + 398790
8.483 * * [simplify]: Extracting #6: cost 0 inf + 467335
8.585 * * [simplify]: Extracting #7: cost 0 inf + 467295
8.707 * [simplify]: Simplified to (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))), (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1))), (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), 1, (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), 1/2, (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))), (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1))), (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), 1, (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), 1/2, (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), 1, 1, 2, 1, 1, (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))), (atan2 1 (+ (* (+ N 1) N) 1)), (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))), 2, (log (atan2 1 (+ (* (+ N 1) N) 1))), (log (atan2 1 (+ (* (+ N 1) N) 1))), (exp (atan2 1 (+ (* (+ N 1) N) 1))), (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))), (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (cbrt (atan2 1 (+ (* (+ N 1) N) 1))), (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))), (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))), (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (cbrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), 1, (atan2 1 (+ (* (+ N 1) N) 1)), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), 1, (atan2 1 (+ (* (+ N 1) N) 1)), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), 1, 2, 1, (* (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))), (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))), (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (atan2 1 (+ (* (+ N 1) N) 1)), (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))), (atan2 1 (+ (* (+ N 1) N) 1)), (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))), (log (atan2 1 (+ (* (+ N 1) N) 1))), (exp (atan2 1 (+ (* (+ N 1) N) 1))), (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))), (cbrt (atan2 1 (+ (* (+ N 1) N) 1))), (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (sqrt (atan2 1 (+ (* (+ N 1) N) 1))), (atan2 1 (+ (* (+ N 1) N) 1)), (atan2 1 (+ (* (+ N 1) N) 1)), (atan2 1 (+ (* (+ N 1) N) 1)), (atan2 1 (+ (* (+ N 1) N) 1)), (atan2 1 (+ (* (+ N 1) N) 1)), (atan2 1 (+ (* (+ N 1) N) 1))
8.713 * * * [progress]: adding candidates to table
9.478 * [progress]: [Phase 3 of 3] Extracting.
9.478 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (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) (atan2 1 (+ 1 (* (+ N 1) N))))> #<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))))))))> #<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)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
9.479 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
9.479 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (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) (atan2 1 (+ 1 (* (+ N 1) N))))> #<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))))))))> #<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)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
9.525 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (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) (atan2 1 (+ 1 (* (+ N 1) N))))> #<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))))))))> #<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)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
9.565 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
9.565 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
9.565 * * [simplify]: iteration 1: (6 enodes)
9.566 * * [simplify]: iteration 2: (11 enodes)
9.566 * * [simplify]: Extracting #0: cost 1 inf + 0
9.566 * * [simplify]: Extracting #1: cost 3 inf + 0
9.566 * * [simplify]: Extracting #2: cost 3 inf + 1
9.566 * * [simplify]: Extracting #3: cost 5 inf + 1
9.566 * * [simplify]: Extracting #4: cost 0 inf + 510
9.566 * [simplify]: Simplified to (atan2 1 (+ (* (+ N 1) N) 1))
11.714 * [regime-testing]: Baseline error score: 0.3305976057841809
11.716 * [regime-testing]: Oracle error score: 0.2854669644540146
11.720 * [regime-testing]: End program error score: 0.3305976057841809
11.756 * [regime-testing]: Target error score: 0.3317227464267612