40.219 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.074 * * * [progress]: [2/2] Setting up program.
0.078 * [progress]: [Phase 2 of 3] Improving.
0.078 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.079 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.079 * * [simplify]: iteration 1: (6 enodes)
0.082 * * [simplify]: iteration 2: (9 enodes)
0.084 * * [simplify]: iteration 3: (10 enodes)
0.087 * * [simplify]: Extracting #0: cost 1 inf + 0
0.087 * * [simplify]: Extracting #1: cost 4 inf + 0
0.087 * * [simplify]: Extracting #2: cost 6 inf + 0
0.087 * * [simplify]: Extracting #3: cost 6 inf + 1
0.088 * * [simplify]: Extracting #4: cost 0 inf + 735
0.088 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.089 * * [progress]: iteration 1 / 4
0.089 * * * [progress]: picking best candidate
0.093 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.093 * * * [progress]: localizing error
0.114 * * * [progress]: generating rewritten candidates
0.114 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.124 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.127 * * * [progress]: generating series expansions
0.127 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.128 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.128 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.128 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [taylor]: Taking taylor expansion of (atan N) in N
0.128 * [backup-simplify]: Simplify (atan N) into (atan N)
0.128 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [taylor]: Taking taylor expansion of (atan N) in N
0.128 * [backup-simplify]: Simplify (atan N) into (atan N)
0.128 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.129 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.129 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
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
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- 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 (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.134 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.134 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.134 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.134 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.134 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.134 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.134 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.135 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.135 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.135 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.135 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
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
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [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
0.138 * [backup-simplify]: Simplify (- 0) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (- 0) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.140 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.141 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.141 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.141 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.141 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.141 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.141 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.141 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.141 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.141 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.141 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.141 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.141 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.141 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.142 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (- 0) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (- 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.147 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.147 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.147 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.147 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.147 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.147 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.147 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.148 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.148 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.148 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.149 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.149 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.149 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.149 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.149 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.149 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.150 * * * [progress]: simplifying candidates
0.150 * * * * [progress]: [ 1 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
0.150 * * * * [progress]: [ 2 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.150 * * * * [progress]: [ 3 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.150 * * * * [progress]: [ 4 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
0.150 * * * * [progress]: [ 5 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.150 * * * * [progress]: [ 6 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.150 * * * * [progress]: [ 7 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
0.150 * * * * [progress]: [ 8 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.150 * * * * [progress]: [ 9 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.151 * * * * [progress]: [ 10 / 46 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 11 / 46 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 12 / 46 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
0.151 * * * * [progress]: [ 13 / 46 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
0.151 * * * * [progress]: [ 14 / 46 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
0.151 * * * * [progress]: [ 15 / 46 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.151 * * * * [progress]: [ 16 / 46 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.151 * * * * [progress]: [ 17 / 46 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.151 * * * * [progress]: [ 18 / 46 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 19 / 46 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 20 / 46 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 21 / 46 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 22 / 46 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.151 * * * * [progress]: [ 23 / 46 ] 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))))))>
0.151 * * * * [progress]: [ 24 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.151 * * * * [progress]: [ 25 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.151 * * * * [progress]: [ 26 / 46 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.152 * * * * [progress]: [ 27 / 46 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.152 * * * * [progress]: [ 28 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.152 * * * * [progress]: [ 29 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.152 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.152 * * * * [progress]: [ 31 / 46 ] simplifiying candidate #<alt (λ (N) (- (log1p (expm1 (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 32 / 46 ] simplifiying candidate #<alt (λ (N) (- (expm1 (log1p (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 33 / 46 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.152 * * * * [progress]: [ 34 / 46 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 35 / 46 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 36 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 37 / 46 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 38 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 39 / 46 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.152 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.152 * * * * [progress]: [ 41 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.152 * * * * [progress]: [ 42 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.152 * * * * [progress]: [ 43 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 44 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 45 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 46 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.154 * [simplify]: Simplifying:
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma 1 (atan (+ N 1)) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (expm1 (- (atan (+ N 1)) (atan N)))
  (log1p (- (atan (+ N 1)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- (+ 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)))
  (expm1 (atan (+ N 1)))
  (log1p (atan (+ N 1)))
  (log (atan (+ N 1)))
  (exp (atan (+ N 1)))
  (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1))))
  (cbrt (atan (+ N 1)))
  (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))
  (sqrt (atan (+ N 1)))
  (sqrt (atan (+ N 1)))
  (real->posit16 (atan (+ N 1)))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (atan (+ N 1))
  (atan (+ N 1))
  (atan (+ N 1))
0.156 * * [simplify]: iteration 1: (67 enodes)
0.181 * * [simplify]: iteration 2: (138 enodes)
0.257 * * [simplify]: iteration 3: (286 enodes)
0.408 * * [simplify]: iteration 4: (752 enodes)
1.268 * * [simplify]: Extracting #0: cost 30 inf + 0
1.269 * * [simplify]: Extracting #1: cost 167 inf + 2
1.272 * * [simplify]: Extracting #2: cost 380 inf + 832
1.277 * * [simplify]: Extracting #3: cost 344 inf + 34781
1.292 * * [simplify]: Extracting #4: cost 82 inf + 141622
1.316 * * [simplify]: Extracting #5: cost 2 inf + 185703
1.358 * * [simplify]: Extracting #6: cost 0 inf + 186803
1.390 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (expm1 (- (atan (+ 1 N)) (atan N)))
  (log1p (- (atan (+ 1 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1
  (fma N (+ 1 N) 1)
  (exp (- (atan (+ 1 N)) (atan N)))
  (log (- (atan (+ 1 N)) (atan N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
  (cbrt (- (atan (+ 1 N)) (atan N)))
  (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N))))
  (- (atan N))
  (* (- (atan (+ 1 N)) (atan N)) (+ (atan (+ 1 N)) (atan N)))
  (+ (atan (+ 1 N)) (atan N))
  (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ 1 N)) (atan N)))
  (expm1 (atan (+ 1 N)))
  (log1p (atan (+ 1 N)))
  (log (atan (+ 1 N)))
  (exp (atan (+ 1 N)))
  (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
  (cbrt (atan (+ 1 N)))
  (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N))))
  (sqrt (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (real->posit16 (atan (+ 1 N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (atan (+ 1 N))
  (atan (+ 1 N))
  (atan (+ 1 N))
1.392 * * * [progress]: adding candidates to table
1.626 * * [progress]: iteration 2 / 4
1.626 * * * [progress]: picking best candidate
1.630 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (fma N (+ 1 N) 1)))>
1.630 * * * [progress]: localizing error
1.640 * * * [progress]: generating rewritten candidates
1.640 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.640 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
1.640 * * * [progress]: generating series expansions
1.640 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.641 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.641 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
1.641 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
1.641 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.641 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
1.641 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.641 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.641 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
1.641 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
1.641 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
1.641 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
1.641 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
1.641 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
1.641 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
1.641 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.642 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
1.642 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
1.642 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
1.642 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
1.642 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
1.642 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
1.642 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
1.642 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
1.642 * [backup-simplify]: Simplify (fma N (+ 1 N) 1) into (fma N (+ N 1) 1)
1.643 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0
1.643 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
1.643 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
1.643 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
1.643 * [taylor]: Taking taylor expansion of N in N
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of (+ N 1) in N
1.643 * [taylor]: Taking taylor expansion of N in N
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of 1 in N
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of 1 in N
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
1.643 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
1.643 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
1.643 * [taylor]: Taking taylor expansion of N in N
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of (+ N 1) in N
1.643 * [taylor]: Taking taylor expansion of N in N
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of 1 in N
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of 1 in N
1.643 * [backup-simplify]: Simplify 1 into 1
1.644 * [backup-simplify]: Simplify (+ 0 1) into 1
1.644 * [backup-simplify]: Simplify (* 0 1) into 0
1.644 * [backup-simplify]: Simplify (+ 0 1) into 1
1.644 * [backup-simplify]: Simplify 1 into 1
1.645 * [backup-simplify]: Simplify (+ 1 0) into 1
1.645 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
1.645 * [backup-simplify]: Simplify (+ 1 0) into 1
1.645 * [backup-simplify]: Simplify 1 into 1
1.646 * [backup-simplify]: Simplify (+ 0 0) into 0
1.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
1.646 * [backup-simplify]: Simplify (+ 1 0) into 1
1.646 * [backup-simplify]: Simplify 1 into 1
1.647 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
1.647 * [backup-simplify]: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1)
1.647 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0
1.647 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
1.647 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
1.647 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
1.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.647 * [taylor]: Taking taylor expansion of N in N
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify 1 into 1
1.647 * [backup-simplify]: Simplify (/ 1 1) into 1
1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
1.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.647 * [taylor]: Taking taylor expansion of N in N
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify 1 into 1
1.647 * [backup-simplify]: Simplify (/ 1 1) into 1
1.647 * [taylor]: Taking taylor expansion of 1 in N
1.647 * [backup-simplify]: Simplify 1 into 1
1.647 * [taylor]: Taking taylor expansion of 1 in N
1.647 * [backup-simplify]: Simplify 1 into 1
1.647 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
1.648 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
1.648 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
1.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.648 * [taylor]: Taking taylor expansion of N in N
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify 1 into 1
1.648 * [backup-simplify]: Simplify (/ 1 1) into 1
1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
1.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.648 * [taylor]: Taking taylor expansion of N in N
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify 1 into 1
1.648 * [backup-simplify]: Simplify (/ 1 1) into 1
1.648 * [taylor]: Taking taylor expansion of 1 in N
1.648 * [backup-simplify]: Simplify 1 into 1
1.648 * [taylor]: Taking taylor expansion of 1 in N
1.648 * [backup-simplify]: Simplify 1 into 1
1.649 * [backup-simplify]: Simplify (+ 1 0) into 1
1.649 * [backup-simplify]: Simplify (* 1 1) into 1
1.649 * [backup-simplify]: Simplify (+ 1 0) into 1
1.649 * [backup-simplify]: Simplify 1 into 1
1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.650 * [backup-simplify]: Simplify (+ 0 1) into 1
1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.651 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
1.652 * [backup-simplify]: Simplify (+ 1 0) into 1
1.652 * [backup-simplify]: Simplify 1 into 1
1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.653 * [backup-simplify]: Simplify (+ 0 0) into 0
1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
1.655 * [backup-simplify]: Simplify (+ 0 1) into 1
1.655 * [backup-simplify]: Simplify 1 into 1
1.656 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
1.656 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
1.656 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0
1.656 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
1.656 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
1.656 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
1.656 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.656 * [taylor]: Taking taylor expansion of -1 in N
1.656 * [backup-simplify]: Simplify -1 into -1
1.656 * [taylor]: Taking taylor expansion of N in N
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (/ -1 1) into -1
1.657 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
1.657 * [taylor]: Taking taylor expansion of 1 in N
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.657 * [taylor]: Taking taylor expansion of N in N
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (/ 1 1) into 1
1.657 * [taylor]: Taking taylor expansion of 1 in N
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
1.657 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
1.657 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
1.657 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.657 * [taylor]: Taking taylor expansion of -1 in N
1.657 * [backup-simplify]: Simplify -1 into -1
1.657 * [taylor]: Taking taylor expansion of N in N
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 1 into 1
1.658 * [backup-simplify]: Simplify (/ -1 1) into -1
1.658 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
1.658 * [taylor]: Taking taylor expansion of 1 in N
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.658 * [taylor]: Taking taylor expansion of N in N
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [backup-simplify]: Simplify (/ 1 1) into 1
1.658 * [taylor]: Taking taylor expansion of 1 in N
1.658 * [backup-simplify]: Simplify 1 into 1
1.659 * [backup-simplify]: Simplify (- 1) into -1
1.659 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.660 * [backup-simplify]: Simplify (* -1 -1) into 1
1.660 * [backup-simplify]: Simplify (+ 1 0) into 1
1.660 * [backup-simplify]: Simplify 1 into 1
1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.661 * [backup-simplify]: Simplify (- 0) into 0
1.662 * [backup-simplify]: Simplify (+ 1 0) into 1
1.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.663 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
1.664 * [backup-simplify]: Simplify (+ -1 0) into -1
1.664 * [backup-simplify]: Simplify -1 into -1
1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.665 * [backup-simplify]: Simplify (- 0) into 0
1.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
1.668 * [backup-simplify]: Simplify (+ 0 1) into 1
1.668 * [backup-simplify]: Simplify 1 into 1
1.668 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
1.668 * * * [progress]: simplifying candidates
1.668 * * * * [progress]: [ 1 / 27 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))))>
1.668 * * * * [progress]: [ 2 / 27 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma N (+ 1 N) 1)))))>
1.668 * * * * [progress]: [ 3 / 27 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma N (+ 1 N) 1)) 1))>
1.668 * * * * [progress]: [ 4 / 27 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma N (+ 1 N) 1)))))>
1.668 * * * * [progress]: [ 5 / 27 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma N (+ 1 N) 1)))))>
1.668 * * * * [progress]: [ 6 / 27 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 7 / 27 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 8 / 27 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 9 / 27 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma N (+ 1 N) 1))))>
1.669 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 11 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 12 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 13 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N (+ 1 N)) 1)))>
1.669 * * * * [progress]: [ 14 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (fma N (+ 1 N) 1) 1)))>
1.669 * * * * [progress]: [ 15 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 16 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 17 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 18 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 19 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 20 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (fma N (+ 1 N) 1))))>
1.669 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (fma N (+ 1 N) 1)))))>
1.669 * * * * [progress]: [ 22 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
1.669 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
1.669 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
1.670 * * * * [progress]: [ 25 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.670 * * * * [progress]: [ 26 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.670 * * * * [progress]: [ 27 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.670 * [simplify]: Simplifying:
  (expm1 (atan2 1 (fma N (+ 1 N) 1)))
  (log1p (atan2 1 (fma N (+ 1 N) 1)))
  (log (atan2 1 (fma N (+ 1 N) 1)))
  (exp (atan2 1 (fma N (+ 1 N) 1)))
  (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))
  (cbrt (atan2 1 (fma N (+ 1 N) 1)))
  (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1)))
  (sqrt (atan2 1 (fma N (+ 1 N) 1)))
  (sqrt (atan2 1 (fma N (+ 1 N) 1)))
  (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))
  (expm1 (fma N (+ 1 N) 1))
  (log1p (fma N (+ 1 N) 1))
  (* N (+ 1 N))
  (log (fma N (+ 1 N) 1))
  (exp (fma N (+ 1 N) 1))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (cbrt (fma N (+ 1 N) 1))
  (* (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (fma N (+ 1 N) 1))
  (sqrt (fma N (+ 1 N) 1))
  (sqrt (fma N (+ 1 N) 1))
  (real->posit16 (fma N (+ 1 N) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
1.671 * * [simplify]: iteration 1: (33 enodes)
1.682 * * [simplify]: iteration 2: (51 enodes)
1.697 * * [simplify]: iteration 3: (83 enodes)
1.715 * * [simplify]: iteration 4: (225 enodes)
2.043 * * [simplify]: iteration 5: (886 enodes)
5.612 * * [simplify]: Extracting #0: cost 21 inf + 0
5.613 * * [simplify]: Extracting #1: cost 242 inf + 0
5.618 * * [simplify]: Extracting #2: cost 843 inf + 8102
5.650 * * [simplify]: Extracting #3: cost 363 inf + 120091
5.705 * * [simplify]: Extracting #4: cost 10 inf + 202329
5.767 * * [simplify]: Extracting #5: cost 0 inf + 202287
5.827 * * [simplify]: Extracting #6: cost 0 inf + 202087
5.886 * [simplify]: Simplified to:
  (expm1 (atan2 1 (fma N (+ N 1) 1)))
  (log1p (atan2 1 (fma N (+ N 1) 1)))
  (log (atan2 1 (fma N (+ N 1) 1)))
  (exp (atan2 1 (fma N (+ N 1) 1)))
  (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))
  (cbrt (atan2 1 (fma N (+ N 1) 1)))
  (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (real->posit16 (atan2 1 (fma N (+ N 1) 1)))
  (expm1 (fma N (+ N 1) 1))
  (log1p (fma N (+ N 1) 1))
  (fma N N N)
  (log1p (fma N N N))
  (exp (fma N (+ N 1) 1))
  (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))
  (cbrt (fma N (+ N 1) 1))
  (* (fma N (+ N 1) 1) (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)))
  (sqrt (fma N (+ N 1) 1))
  (sqrt (fma N (+ N 1) 1))
  (real->posit16 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (fma N (+ N 1) 1)
  (fma N (+ N 1) 1)
  (fma N (+ N 1) 1)
5.887 * * * [progress]: adding candidates to table
6.021 * * [progress]: iteration 3 / 4
6.021 * * * [progress]: picking best candidate
6.027 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.028 * * * [progress]: localizing error
6.046 * * * [progress]: generating rewritten candidates
6.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
6.047 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
6.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
6.057 * * * [progress]: generating series expansions
6.057 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
6.057 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.057 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.057 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.057 * [taylor]: Taking taylor expansion of 1/3 in N
6.057 * [backup-simplify]: Simplify 1/3 into 1/3
6.057 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.057 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.058 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.058 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.058 * [taylor]: Taking taylor expansion of N in N
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 1 into 1
6.058 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.058 * [taylor]: Taking taylor expansion of N in N
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 1 into 1
6.058 * [taylor]: Taking taylor expansion of 1 in N
6.058 * [backup-simplify]: Simplify 1 into 1
6.058 * [taylor]: Taking taylor expansion of 1 in N
6.058 * [backup-simplify]: Simplify 1 into 1
6.058 * [backup-simplify]: Simplify (+ 0 1) into 1
6.059 * [backup-simplify]: Simplify (* 0 1) into 0
6.059 * [backup-simplify]: Simplify (+ 0 1) into 1
6.059 * [backup-simplify]: Simplify (log 1) into 0
6.059 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.060 * [backup-simplify]: Simplify (+ 1 0) into 1
6.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.060 * [backup-simplify]: Simplify (+ 1 0) into 1
6.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.062 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.062 * [backup-simplify]: Simplify (exp 0) into 1
6.062 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.062 * [taylor]: Taking taylor expansion of 1/3 in N
6.062 * [backup-simplify]: Simplify 1/3 into 1/3
6.062 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.062 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.062 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.062 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.062 * [taylor]: Taking taylor expansion of N in N
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.062 * [taylor]: Taking taylor expansion of N in N
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [taylor]: Taking taylor expansion of 1 in N
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [taylor]: Taking taylor expansion of 1 in N
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [backup-simplify]: Simplify (+ 0 1) into 1
6.062 * [backup-simplify]: Simplify (* 0 1) into 0
6.063 * [backup-simplify]: Simplify (+ 0 1) into 1
6.063 * [backup-simplify]: Simplify (log 1) into 0
6.063 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.064 * [backup-simplify]: Simplify (+ 1 0) into 1
6.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.064 * [backup-simplify]: Simplify (+ 1 0) into 1
6.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.065 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.065 * [backup-simplify]: Simplify (exp 0) into 1
6.065 * [backup-simplify]: Simplify 1 into 1
6.066 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.066 * [backup-simplify]: Simplify 1/3 into 1/3
6.066 * [backup-simplify]: Simplify (+ 0 0) into 0
6.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.067 * [backup-simplify]: Simplify (+ 1 0) into 1
6.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.070 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.071 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.071 * [backup-simplify]: Simplify 2/9 into 2/9
6.071 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.072 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.072 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.072 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.072 * [taylor]: Taking taylor expansion of 1/3 in N
6.072 * [backup-simplify]: Simplify 1/3 into 1/3
6.072 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.072 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.072 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.072 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.072 * [taylor]: Taking taylor expansion of N in N
6.072 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify 1 into 1
6.072 * [backup-simplify]: Simplify (/ 1 1) into 1
6.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.072 * [taylor]: Taking taylor expansion of N in N
6.072 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify 1 into 1
6.073 * [backup-simplify]: Simplify (/ 1 1) into 1
6.073 * [taylor]: Taking taylor expansion of 1 in N
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [taylor]: Taking taylor expansion of 1 in N
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [backup-simplify]: Simplify (+ 1 0) into 1
6.073 * [backup-simplify]: Simplify (* 1 1) into 1
6.074 * [backup-simplify]: Simplify (+ 1 0) into 1
6.074 * [backup-simplify]: Simplify (log 1) into 0
6.074 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.074 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.074 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.074 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.074 * [taylor]: Taking taylor expansion of 1/3 in N
6.074 * [backup-simplify]: Simplify 1/3 into 1/3
6.074 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.074 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.074 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.074 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.074 * [taylor]: Taking taylor expansion of N in N
6.074 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (/ 1 1) into 1
6.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.075 * [taylor]: Taking taylor expansion of N in N
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (/ 1 1) into 1
6.075 * [taylor]: Taking taylor expansion of 1 in N
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [taylor]: Taking taylor expansion of 1 in N
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (+ 1 0) into 1
6.076 * [backup-simplify]: Simplify (* 1 1) into 1
6.076 * [backup-simplify]: Simplify (+ 1 0) into 1
6.076 * [backup-simplify]: Simplify (log 1) into 0
6.076 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.076 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.077 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.077 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.077 * [backup-simplify]: Simplify (+ 0 1) into 1
6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.078 * [backup-simplify]: Simplify (+ 1 0) into 1
6.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.079 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.080 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.084 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.084 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.085 * [backup-simplify]: Simplify (+ 0 0) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.087 * [backup-simplify]: Simplify (+ 0 1) into 1
6.088 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.088 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.089 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.090 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.090 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.090 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
6.090 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.090 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.090 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.090 * [taylor]: Taking taylor expansion of 1/3 in N
6.091 * [backup-simplify]: Simplify 1/3 into 1/3
6.091 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.091 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.091 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.091 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.091 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.091 * [taylor]: Taking taylor expansion of -1 in N
6.091 * [backup-simplify]: Simplify -1 into -1
6.091 * [taylor]: Taking taylor expansion of N in N
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 1 into 1
6.091 * [backup-simplify]: Simplify (/ -1 1) into -1
6.091 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.091 * [taylor]: Taking taylor expansion of 1 in N
6.091 * [backup-simplify]: Simplify 1 into 1
6.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.091 * [taylor]: Taking taylor expansion of N in N
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 1 into 1
6.091 * [backup-simplify]: Simplify (/ 1 1) into 1
6.091 * [taylor]: Taking taylor expansion of 1 in N
6.091 * [backup-simplify]: Simplify 1 into 1
6.092 * [backup-simplify]: Simplify (- 1) into -1
6.092 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.092 * [backup-simplify]: Simplify (* -1 -1) into 1
6.092 * [backup-simplify]: Simplify (+ 1 0) into 1
6.093 * [backup-simplify]: Simplify (log 1) into 0
6.093 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.093 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.093 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.093 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.093 * [taylor]: Taking taylor expansion of 1/3 in N
6.093 * [backup-simplify]: Simplify 1/3 into 1/3
6.093 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.093 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.093 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.093 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.093 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.093 * [taylor]: Taking taylor expansion of -1 in N
6.093 * [backup-simplify]: Simplify -1 into -1
6.093 * [taylor]: Taking taylor expansion of N in N
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (/ -1 1) into -1
6.094 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.094 * [taylor]: Taking taylor expansion of 1 in N
6.094 * [backup-simplify]: Simplify 1 into 1
6.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.094 * [taylor]: Taking taylor expansion of N in N
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (/ 1 1) into 1
6.094 * [taylor]: Taking taylor expansion of 1 in N
6.094 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (- 1) into -1
6.094 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.095 * [backup-simplify]: Simplify (* -1 -1) into 1
6.095 * [backup-simplify]: Simplify (+ 1 0) into 1
6.095 * [backup-simplify]: Simplify (log 1) into 0
6.096 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.096 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.096 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.096 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.097 * [backup-simplify]: Simplify (- 0) into 0
6.097 * [backup-simplify]: Simplify (+ 1 0) into 1
6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.098 * [backup-simplify]: Simplify (+ -1 0) into -1
6.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.099 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.099 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.100 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.100 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.101 * [backup-simplify]: Simplify (- 0) into 0
6.101 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.103 * [backup-simplify]: Simplify (+ 0 1) into 1
6.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.104 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.105 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.106 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.106 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.107 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
6.107 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.107 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.107 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.107 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.107 * [taylor]: Taking taylor expansion of 1/3 in N
6.107 * [backup-simplify]: Simplify 1/3 into 1/3
6.107 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.107 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.107 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.107 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.107 * [taylor]: Taking taylor expansion of N in N
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.107 * [taylor]: Taking taylor expansion of N in N
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [taylor]: Taking taylor expansion of 1 in N
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [taylor]: Taking taylor expansion of 1 in N
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (+ 0 1) into 1
6.108 * [backup-simplify]: Simplify (* 0 1) into 0
6.108 * [backup-simplify]: Simplify (+ 0 1) into 1
6.108 * [backup-simplify]: Simplify (log 1) into 0
6.108 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.109 * [backup-simplify]: Simplify (+ 1 0) into 1
6.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.109 * [backup-simplify]: Simplify (+ 1 0) into 1
6.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.110 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.110 * [backup-simplify]: Simplify (exp 0) into 1
6.111 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.111 * [taylor]: Taking taylor expansion of 1/3 in N
6.111 * [backup-simplify]: Simplify 1/3 into 1/3
6.111 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.111 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.111 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.111 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.111 * [taylor]: Taking taylor expansion of N in N
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.111 * [taylor]: Taking taylor expansion of N in N
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [taylor]: Taking taylor expansion of 1 in N
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [taylor]: Taking taylor expansion of 1 in N
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [backup-simplify]: Simplify (+ 0 1) into 1
6.111 * [backup-simplify]: Simplify (* 0 1) into 0
6.112 * [backup-simplify]: Simplify (+ 0 1) into 1
6.112 * [backup-simplify]: Simplify (log 1) into 0
6.112 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.112 * [backup-simplify]: Simplify (+ 1 0) into 1
6.113 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.113 * [backup-simplify]: Simplify (+ 1 0) into 1
6.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.114 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.114 * [backup-simplify]: Simplify (exp 0) into 1
6.114 * [backup-simplify]: Simplify 1 into 1
6.115 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.115 * [backup-simplify]: Simplify 1/3 into 1/3
6.115 * [backup-simplify]: Simplify (+ 0 0) into 0
6.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.116 * [backup-simplify]: Simplify (+ 1 0) into 1
6.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.118 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.119 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.119 * [backup-simplify]: Simplify 2/9 into 2/9
6.119 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.119 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.119 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.120 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.120 * [taylor]: Taking taylor expansion of 1/3 in N
6.120 * [backup-simplify]: Simplify 1/3 into 1/3
6.120 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.120 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.120 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.120 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.120 * [taylor]: Taking taylor expansion of N in N
6.120 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify 1 into 1
6.120 * [backup-simplify]: Simplify (/ 1 1) into 1
6.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.120 * [taylor]: Taking taylor expansion of N in N
6.120 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify 1 into 1
6.120 * [backup-simplify]: Simplify (/ 1 1) into 1
6.120 * [taylor]: Taking taylor expansion of 1 in N
6.120 * [backup-simplify]: Simplify 1 into 1
6.120 * [taylor]: Taking taylor expansion of 1 in N
6.120 * [backup-simplify]: Simplify 1 into 1
6.121 * [backup-simplify]: Simplify (+ 1 0) into 1
6.121 * [backup-simplify]: Simplify (* 1 1) into 1
6.121 * [backup-simplify]: Simplify (+ 1 0) into 1
6.121 * [backup-simplify]: Simplify (log 1) into 0
6.122 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.122 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.122 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.122 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.122 * [taylor]: Taking taylor expansion of 1/3 in N
6.122 * [backup-simplify]: Simplify 1/3 into 1/3
6.122 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.122 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.122 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.122 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.122 * [taylor]: Taking taylor expansion of N in N
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (/ 1 1) into 1
6.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.122 * [taylor]: Taking taylor expansion of N in N
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (/ 1 1) into 1
6.123 * [taylor]: Taking taylor expansion of 1 in N
6.123 * [backup-simplify]: Simplify 1 into 1
6.123 * [taylor]: Taking taylor expansion of 1 in N
6.123 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (+ 1 0) into 1
6.123 * [backup-simplify]: Simplify (* 1 1) into 1
6.123 * [backup-simplify]: Simplify (+ 1 0) into 1
6.124 * [backup-simplify]: Simplify (log 1) into 0
6.124 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.124 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.124 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.124 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (+ 0 1) into 1
6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.126 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.126 * [backup-simplify]: Simplify (+ 1 0) into 1
6.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.127 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.127 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.128 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.128 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ 0 0) into 0
6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.130 * [backup-simplify]: Simplify (+ 0 1) into 1
6.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.132 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.132 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.133 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.133 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.134 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
6.134 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.134 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.134 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.134 * [taylor]: Taking taylor expansion of 1/3 in N
6.134 * [backup-simplify]: Simplify 1/3 into 1/3
6.134 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.134 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.134 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.134 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.134 * [taylor]: Taking taylor expansion of -1 in N
6.134 * [backup-simplify]: Simplify -1 into -1
6.134 * [taylor]: Taking taylor expansion of N in N
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 1 into 1
6.134 * [backup-simplify]: Simplify (/ -1 1) into -1
6.134 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.134 * [taylor]: Taking taylor expansion of 1 in N
6.134 * [backup-simplify]: Simplify 1 into 1
6.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.134 * [taylor]: Taking taylor expansion of N in N
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [backup-simplify]: Simplify (/ 1 1) into 1
6.135 * [taylor]: Taking taylor expansion of 1 in N
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [backup-simplify]: Simplify (- 1) into -1
6.135 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.136 * [backup-simplify]: Simplify (* -1 -1) into 1
6.136 * [backup-simplify]: Simplify (+ 1 0) into 1
6.136 * [backup-simplify]: Simplify (log 1) into 0
6.136 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.136 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.137 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.137 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.137 * [taylor]: Taking taylor expansion of 1/3 in N
6.137 * [backup-simplify]: Simplify 1/3 into 1/3
6.137 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.137 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.137 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.137 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.137 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.137 * [taylor]: Taking taylor expansion of -1 in N
6.137 * [backup-simplify]: Simplify -1 into -1
6.137 * [taylor]: Taking taylor expansion of N in N
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 1 into 1
6.137 * [backup-simplify]: Simplify (/ -1 1) into -1
6.137 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.137 * [taylor]: Taking taylor expansion of 1 in N
6.137 * [backup-simplify]: Simplify 1 into 1
6.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.137 * [taylor]: Taking taylor expansion of N in N
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 1 into 1
6.137 * [backup-simplify]: Simplify (/ 1 1) into 1
6.137 * [taylor]: Taking taylor expansion of 1 in N
6.137 * [backup-simplify]: Simplify 1 into 1
6.138 * [backup-simplify]: Simplify (- 1) into -1
6.138 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.138 * [backup-simplify]: Simplify (* -1 -1) into 1
6.139 * [backup-simplify]: Simplify (+ 1 0) into 1
6.139 * [backup-simplify]: Simplify (log 1) into 0
6.139 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.139 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.139 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.139 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.140 * [backup-simplify]: Simplify (- 0) into 0
6.140 * [backup-simplify]: Simplify (+ 1 0) into 1
6.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.141 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.142 * [backup-simplify]: Simplify (+ -1 0) into -1
6.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.143 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.143 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.144 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.144 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.145 * [backup-simplify]: Simplify (- 0) into 0
6.145 * [backup-simplify]: Simplify (+ 0 0) into 0
6.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.146 * [backup-simplify]: Simplify (+ 0 1) into 1
6.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.148 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.149 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.150 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.150 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.150 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
6.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
6.150 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.150 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.150 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.150 * [taylor]: Taking taylor expansion of 1/3 in N
6.150 * [backup-simplify]: Simplify 1/3 into 1/3
6.150 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.150 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.150 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.150 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.150 * [taylor]: Taking taylor expansion of N in N
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.150 * [taylor]: Taking taylor expansion of N in N
6.151 * [backup-simplify]: Simplify 0 into 0
6.151 * [backup-simplify]: Simplify 1 into 1
6.151 * [taylor]: Taking taylor expansion of 1 in N
6.151 * [backup-simplify]: Simplify 1 into 1
6.151 * [taylor]: Taking taylor expansion of 1 in N
6.151 * [backup-simplify]: Simplify 1 into 1
6.151 * [backup-simplify]: Simplify (+ 0 1) into 1
6.151 * [backup-simplify]: Simplify (* 0 1) into 0
6.151 * [backup-simplify]: Simplify (+ 0 1) into 1
6.152 * [backup-simplify]: Simplify (log 1) into 0
6.152 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.152 * [backup-simplify]: Simplify (+ 1 0) into 1
6.153 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.153 * [backup-simplify]: Simplify (+ 1 0) into 1
6.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.154 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.154 * [backup-simplify]: Simplify (exp 0) into 1
6.154 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.154 * [taylor]: Taking taylor expansion of 1/3 in N
6.154 * [backup-simplify]: Simplify 1/3 into 1/3
6.154 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.154 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.154 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.154 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.154 * [taylor]: Taking taylor expansion of N in N
6.154 * [backup-simplify]: Simplify 0 into 0
6.154 * [backup-simplify]: Simplify 1 into 1
6.154 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.154 * [taylor]: Taking taylor expansion of N in N
6.154 * [backup-simplify]: Simplify 0 into 0
6.154 * [backup-simplify]: Simplify 1 into 1
6.154 * [taylor]: Taking taylor expansion of 1 in N
6.154 * [backup-simplify]: Simplify 1 into 1
6.154 * [taylor]: Taking taylor expansion of 1 in N
6.154 * [backup-simplify]: Simplify 1 into 1
6.155 * [backup-simplify]: Simplify (+ 0 1) into 1
6.155 * [backup-simplify]: Simplify (* 0 1) into 0
6.155 * [backup-simplify]: Simplify (+ 0 1) into 1
6.156 * [backup-simplify]: Simplify (log 1) into 0
6.156 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.157 * [backup-simplify]: Simplify (+ 1 0) into 1
6.157 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.158 * [backup-simplify]: Simplify (+ 1 0) into 1
6.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.159 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.159 * [backup-simplify]: Simplify (exp 0) into 1
6.159 * [backup-simplify]: Simplify 1 into 1
6.160 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.160 * [backup-simplify]: Simplify 1/3 into 1/3
6.160 * [backup-simplify]: Simplify (+ 0 0) into 0
6.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.161 * [backup-simplify]: Simplify (+ 1 0) into 1
6.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.163 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.164 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.164 * [backup-simplify]: Simplify 2/9 into 2/9
6.164 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.165 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.165 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.165 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.165 * [taylor]: Taking taylor expansion of 1/3 in N
6.165 * [backup-simplify]: Simplify 1/3 into 1/3
6.165 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.165 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.165 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.165 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.165 * [taylor]: Taking taylor expansion of N in N
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 1 into 1
6.165 * [backup-simplify]: Simplify (/ 1 1) into 1
6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.165 * [taylor]: Taking taylor expansion of N in N
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 1 into 1
6.165 * [backup-simplify]: Simplify (/ 1 1) into 1
6.165 * [taylor]: Taking taylor expansion of 1 in N
6.165 * [backup-simplify]: Simplify 1 into 1
6.165 * [taylor]: Taking taylor expansion of 1 in N
6.165 * [backup-simplify]: Simplify 1 into 1
6.166 * [backup-simplify]: Simplify (+ 1 0) into 1
6.166 * [backup-simplify]: Simplify (* 1 1) into 1
6.166 * [backup-simplify]: Simplify (+ 1 0) into 1
6.166 * [backup-simplify]: Simplify (log 1) into 0
6.167 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.167 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.167 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.167 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.167 * [taylor]: Taking taylor expansion of 1/3 in N
6.167 * [backup-simplify]: Simplify 1/3 into 1/3
6.167 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.167 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.167 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.167 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.167 * [taylor]: Taking taylor expansion of N in N
6.167 * [backup-simplify]: Simplify 0 into 0
6.167 * [backup-simplify]: Simplify 1 into 1
6.167 * [backup-simplify]: Simplify (/ 1 1) into 1
6.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.167 * [taylor]: Taking taylor expansion of N in N
6.167 * [backup-simplify]: Simplify 0 into 0
6.167 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (/ 1 1) into 1
6.168 * [taylor]: Taking taylor expansion of 1 in N
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [taylor]: Taking taylor expansion of 1 in N
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (+ 1 0) into 1
6.168 * [backup-simplify]: Simplify (* 1 1) into 1
6.168 * [backup-simplify]: Simplify (+ 1 0) into 1
6.169 * [backup-simplify]: Simplify (log 1) into 0
6.169 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.169 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.169 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.169 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.170 * [backup-simplify]: Simplify (+ 0 1) into 1
6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.173 * [backup-simplify]: Simplify (+ 1 0) into 1
6.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.174 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.174 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.175 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.175 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (+ 0 0) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.177 * [backup-simplify]: Simplify (+ 0 1) into 1
6.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.179 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.179 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.180 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.180 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.181 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
6.181 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.181 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.181 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.181 * [taylor]: Taking taylor expansion of 1/3 in N
6.181 * [backup-simplify]: Simplify 1/3 into 1/3
6.181 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.181 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.181 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.181 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.181 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.181 * [taylor]: Taking taylor expansion of -1 in N
6.181 * [backup-simplify]: Simplify -1 into -1
6.181 * [taylor]: Taking taylor expansion of N in N
6.181 * [backup-simplify]: Simplify 0 into 0
6.181 * [backup-simplify]: Simplify 1 into 1
6.181 * [backup-simplify]: Simplify (/ -1 1) into -1
6.181 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.181 * [taylor]: Taking taylor expansion of 1 in N
6.181 * [backup-simplify]: Simplify 1 into 1
6.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.181 * [taylor]: Taking taylor expansion of N in N
6.181 * [backup-simplify]: Simplify 0 into 0
6.181 * [backup-simplify]: Simplify 1 into 1
6.182 * [backup-simplify]: Simplify (/ 1 1) into 1
6.182 * [taylor]: Taking taylor expansion of 1 in N
6.182 * [backup-simplify]: Simplify 1 into 1
6.182 * [backup-simplify]: Simplify (- 1) into -1
6.182 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.182 * [backup-simplify]: Simplify (* -1 -1) into 1
6.183 * [backup-simplify]: Simplify (+ 1 0) into 1
6.183 * [backup-simplify]: Simplify (log 1) into 0
6.183 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.183 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.183 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.183 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.183 * [taylor]: Taking taylor expansion of 1/3 in N
6.183 * [backup-simplify]: Simplify 1/3 into 1/3
6.183 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.183 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.184 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.184 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.184 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.184 * [taylor]: Taking taylor expansion of -1 in N
6.184 * [backup-simplify]: Simplify -1 into -1
6.184 * [taylor]: Taking taylor expansion of N in N
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (/ -1 1) into -1
6.184 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.184 * [taylor]: Taking taylor expansion of 1 in N
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.184 * [taylor]: Taking taylor expansion of N in N
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (/ 1 1) into 1
6.184 * [taylor]: Taking taylor expansion of 1 in N
6.184 * [backup-simplify]: Simplify 1 into 1
6.185 * [backup-simplify]: Simplify (- 1) into -1
6.185 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.185 * [backup-simplify]: Simplify (* -1 -1) into 1
6.185 * [backup-simplify]: Simplify (+ 1 0) into 1
6.186 * [backup-simplify]: Simplify (log 1) into 0
6.186 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.186 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.186 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.186 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.187 * [backup-simplify]: Simplify (- 0) into 0
6.187 * [backup-simplify]: Simplify (+ 1 0) into 1
6.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.188 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.188 * [backup-simplify]: Simplify (+ -1 0) into -1
6.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.189 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.190 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.190 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.190 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.191 * [backup-simplify]: Simplify (- 0) into 0
6.191 * [backup-simplify]: Simplify (+ 0 0) into 0
6.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.193 * [backup-simplify]: Simplify (+ 0 1) into 1
6.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.195 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.195 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.196 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.196 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.196 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
6.197 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
6.197 * [backup-simplify]: Simplify (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) into (pow (pow (fma N (+ N 1) 1) 2) 1/3)
6.197 * [approximate]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in (N) around 0
6.197 * [taylor]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in N
6.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma N (+ N 1) 1) 2)))) in N
6.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma N (+ N 1) 1) 2))) in N
6.197 * [taylor]: Taking taylor expansion of 1/3 in N
6.197 * [backup-simplify]: Simplify 1/3 into 1/3
6.197 * [taylor]: Taking taylor expansion of (log (pow (fma N (+ N 1) 1) 2)) in N
6.197 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 2) in N
6.197 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.197 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.197 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.197 * [taylor]: Taking taylor expansion of N in N
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.197 * [taylor]: Taking taylor expansion of N in N
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [taylor]: Taking taylor expansion of 1 in N
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [taylor]: Taking taylor expansion of 1 in N
6.197 * [backup-simplify]: Simplify 1 into 1
6.197 * [backup-simplify]: Simplify (+ 0 1) into 1
6.198 * [backup-simplify]: Simplify (* 0 1) into 0
6.198 * [backup-simplify]: Simplify (+ 0 1) into 1
6.198 * [backup-simplify]: Simplify (* 1 1) into 1
6.198 * [backup-simplify]: Simplify (log 1) into 0
6.199 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.199 * [backup-simplify]: Simplify (+ 1 0) into 1
6.199 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.200 * [backup-simplify]: Simplify (+ 1 0) into 1
6.200 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
6.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
6.201 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3
6.201 * [backup-simplify]: Simplify (exp 0) into 1
6.201 * [taylor]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in N
6.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma N (+ N 1) 1) 2)))) in N
6.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma N (+ N 1) 1) 2))) in N
6.201 * [taylor]: Taking taylor expansion of 1/3 in N
6.201 * [backup-simplify]: Simplify 1/3 into 1/3
6.201 * [taylor]: Taking taylor expansion of (log (pow (fma N (+ N 1) 1) 2)) in N
6.201 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 2) in N
6.201 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.201 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.201 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.201 * [taylor]: Taking taylor expansion of N in N
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 1 into 1
6.201 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.201 * [taylor]: Taking taylor expansion of N in N
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 1 into 1
6.201 * [taylor]: Taking taylor expansion of 1 in N
6.201 * [backup-simplify]: Simplify 1 into 1
6.201 * [taylor]: Taking taylor expansion of 1 in N
6.201 * [backup-simplify]: Simplify 1 into 1
6.202 * [backup-simplify]: Simplify (+ 0 1) into 1
6.202 * [backup-simplify]: Simplify (* 0 1) into 0
6.202 * [backup-simplify]: Simplify (+ 0 1) into 1
6.202 * [backup-simplify]: Simplify (* 1 1) into 1
6.203 * [backup-simplify]: Simplify (log 1) into 0
6.203 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.203 * [backup-simplify]: Simplify (+ 1 0) into 1
6.204 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.204 * [backup-simplify]: Simplify (+ 1 0) into 1
6.204 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
6.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
6.205 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3
6.205 * [backup-simplify]: Simplify (exp 0) into 1
6.205 * [backup-simplify]: Simplify 1 into 1
6.206 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3
6.206 * [backup-simplify]: Simplify 2/3 into 2/3
6.206 * [backup-simplify]: Simplify (+ 0 0) into 0
6.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.207 * [backup-simplify]: Simplify (+ 1 0) into 1
6.208 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3
6.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1
6.210 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 0))) into 1/3
6.211 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into 5/9
6.211 * [backup-simplify]: Simplify 5/9 into 5/9
6.211 * [backup-simplify]: Simplify (+ (* 5/9 (pow N 2)) (+ (* 2/3 N) 1)) into (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1))
6.212 * [backup-simplify]: Simplify (* (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3)
6.212 * [approximate]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in (N) around 0
6.212 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in N
6.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)))) in N
6.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2))) in N
6.212 * [taylor]: Taking taylor expansion of 1/3 in N
6.212 * [backup-simplify]: Simplify 1/3 into 1/3
6.212 * [taylor]: Taking taylor expansion of (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)) in N
6.212 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) in N
6.212 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.212 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.212 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.212 * [taylor]: Taking taylor expansion of N in N
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (/ 1 1) into 1
6.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.212 * [taylor]: Taking taylor expansion of N in N
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (/ 1 1) into 1
6.212 * [taylor]: Taking taylor expansion of 1 in N
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [taylor]: Taking taylor expansion of 1 in N
6.213 * [backup-simplify]: Simplify 1 into 1
6.213 * [backup-simplify]: Simplify (+ 1 0) into 1
6.213 * [backup-simplify]: Simplify (* 1 1) into 1
6.213 * [backup-simplify]: Simplify (+ 1 0) into 1
6.214 * [backup-simplify]: Simplify (* 1 1) into 1
6.214 * [backup-simplify]: Simplify (log 1) into 0
6.214 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.214 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
6.214 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
6.214 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in N
6.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)))) in N
6.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2))) in N
6.214 * [taylor]: Taking taylor expansion of 1/3 in N
6.214 * [backup-simplify]: Simplify 1/3 into 1/3
6.214 * [taylor]: Taking taylor expansion of (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)) in N
6.214 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) in N
6.214 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.214 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.214 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.214 * [taylor]: Taking taylor expansion of N in N
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (/ 1 1) into 1
6.215 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.215 * [taylor]: Taking taylor expansion of N in N
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (/ 1 1) into 1
6.215 * [taylor]: Taking taylor expansion of 1 in N
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [taylor]: Taking taylor expansion of 1 in N
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (+ 1 0) into 1
6.216 * [backup-simplify]: Simplify (* 1 1) into 1
6.216 * [backup-simplify]: Simplify (+ 1 0) into 1
6.216 * [backup-simplify]: Simplify (* 1 1) into 1
6.216 * [backup-simplify]: Simplify (log 1) into 0
6.217 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.217 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
6.217 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
6.217 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.218 * [backup-simplify]: Simplify (+ 0 1) into 1
6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.219 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.219 * [backup-simplify]: Simplify (+ 1 0) into 1
6.219 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
6.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
6.220 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.221 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3
6.221 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3))
6.221 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3))
6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify (+ 0 0) into 0
6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.223 * [backup-simplify]: Simplify (+ 0 1) into 1
6.224 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3
6.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1
6.226 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.227 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into 1/3
6.227 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
6.227 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
6.228 * [backup-simplify]: Simplify (+ (* (* 5/9 (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) (* 5/9 (pow (/ 1 (pow N 2)) 1/3))))
6.228 * [backup-simplify]: Simplify (* (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3)
6.228 * [approximate]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in (N) around 0
6.228 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in N
6.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)))) in N
6.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2))) in N
6.228 * [taylor]: Taking taylor expansion of 1/3 in N
6.228 * [backup-simplify]: Simplify 1/3 into 1/3
6.228 * [taylor]: Taking taylor expansion of (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)) in N
6.228 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) in N
6.228 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.228 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.228 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.228 * [taylor]: Taking taylor expansion of -1 in N
6.228 * [backup-simplify]: Simplify -1 into -1
6.228 * [taylor]: Taking taylor expansion of N in N
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (/ -1 1) into -1
6.229 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.229 * [taylor]: Taking taylor expansion of 1 in N
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.229 * [taylor]: Taking taylor expansion of N in N
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (/ 1 1) into 1
6.229 * [taylor]: Taking taylor expansion of 1 in N
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (- 1) into -1
6.230 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.230 * [backup-simplify]: Simplify (* -1 -1) into 1
6.230 * [backup-simplify]: Simplify (+ 1 0) into 1
6.230 * [backup-simplify]: Simplify (* 1 1) into 1
6.231 * [backup-simplify]: Simplify (log 1) into 0
6.231 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.231 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
6.231 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
6.231 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in N
6.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)))) in N
6.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2))) in N
6.231 * [taylor]: Taking taylor expansion of 1/3 in N
6.231 * [backup-simplify]: Simplify 1/3 into 1/3
6.231 * [taylor]: Taking taylor expansion of (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)) in N
6.232 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) in N
6.232 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.232 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.232 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.232 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.232 * [taylor]: Taking taylor expansion of -1 in N
6.232 * [backup-simplify]: Simplify -1 into -1
6.232 * [taylor]: Taking taylor expansion of N in N
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (/ -1 1) into -1
6.232 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.232 * [taylor]: Taking taylor expansion of 1 in N
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.232 * [taylor]: Taking taylor expansion of N in N
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.233 * [backup-simplify]: Simplify (/ 1 1) into 1
6.233 * [taylor]: Taking taylor expansion of 1 in N
6.233 * [backup-simplify]: Simplify 1 into 1
6.233 * [backup-simplify]: Simplify (- 1) into -1
6.233 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.233 * [backup-simplify]: Simplify (* -1 -1) into 1
6.234 * [backup-simplify]: Simplify (+ 1 0) into 1
6.234 * [backup-simplify]: Simplify (* 1 1) into 1
6.234 * [backup-simplify]: Simplify (log 1) into 0
6.235 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.235 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
6.235 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
6.235 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
6.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify (- 0) into 0
6.236 * [backup-simplify]: Simplify (+ 1 0) into 1
6.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.237 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.237 * [backup-simplify]: Simplify (+ -1 0) into -1
6.238 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2
6.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
6.239 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.239 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3)
6.239 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3))
6.240 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3))
6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.240 * [backup-simplify]: Simplify (- 0) into 0
6.241 * [backup-simplify]: Simplify (+ 0 0) into 0
6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.242 * [backup-simplify]: Simplify (+ 0 1) into 1
6.243 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* -1 -1) (* 1 1))) into 3
6.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1
6.244 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
6.245 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into 1/3
6.246 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
6.246 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
6.246 * [backup-simplify]: Simplify (+ (* (* 5/9 (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)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3)))
6.247 * * * [progress]: simplifying candidates
6.247 * * * * [progress]: [ 1 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (log1p (expm1 (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 2 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (expm1 (log1p (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 3 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (pow (fma N (+ 1 N) 1) 1/3))))>
6.247 * * * * [progress]: [ 4 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (pow (cbrt (fma N (+ 1 N) 1)) 1))))>
6.247 * * * * [progress]: [ 5 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (exp (log (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 6 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (log (exp (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 7 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 8 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 9 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt 1) (cbrt (fma N (+ 1 N) 1))))))>
6.247 * * * * [progress]: [ 10 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 11 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 12 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 13 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* 1 (cbrt (fma N (+ 1 N) 1))))))>
6.247 * * * * [progress]: [ 14 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1)))))))>
6.247 * * * * [progress]: [ 15 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (log1p (expm1 (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 16 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (expm1 (log1p (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 17 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (pow (fma N (+ 1 N) 1) 1/3)) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 18 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (pow (cbrt (fma N (+ 1 N) 1)) 1)) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 19 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (exp (log (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 20 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (log (exp (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 21 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.247 * * * * [progress]: [ 22 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 23 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt 1) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 24 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 25 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 26 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 27 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* 1 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 28 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 29 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log1p (expm1 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 30 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (expm1 (log1p (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 31 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (fma N (+ 1 N) 1) 1/3) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 32 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (cbrt (fma N (+ 1 N) 1)) 1) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 33 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (exp (log (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 34 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log (exp (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 35 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 36 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 37 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 38 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 39 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 40 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 41 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 42 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 43 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (log1p (expm1 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 44 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (expm1 (log1p (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 45 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (fma N (+ 1 N) 1) (+ 1/3 1/3)) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 46 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) (+ 1 1)) (cbrt (fma N (+ 1 N) 1)))))>
6.248 * * * * [progress]: [ 47 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) 1/3) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 48 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) 1) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 49 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) 2) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 50 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) (+ 1 1)) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 51 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) 1) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 52 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (exp (+ (log (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 53 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (exp (log (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 54 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (log (exp (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 55 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (cbrt (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 56 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 57 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (cbrt (* (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 58 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 59 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 60 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 61 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 62 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 63 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 64 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 65 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 1) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 66 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 67 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 68 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 69 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 70 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (fma N (+ 1 N) 1) (* 2 1/3)) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 71 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) (* 2 1)) (cbrt (fma N (+ 1 N) 1)))))>
6.249 * * * * [progress]: [ 72 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 73 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 74 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 75 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 76 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ 1 N) 1)) (sqrt (cbrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 77 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ 1 N) 1)) 1) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 78 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 79 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 80 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt 1) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 81 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 82 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 83 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 84 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (posit16->real (real->posit16 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 85 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 86 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
6.250 * * * * [progress]: [ 87 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
6.250 * * * * [progress]: [ 88 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
6.250 * * * * [progress]: [ 89 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 90 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 91 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 92 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 93 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 94 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 95 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1)) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 96 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3)))) (cbrt (fma N (+ 1 N) 1)))))>
6.250 * * * * [progress]: [ 97 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3))) (cbrt (fma N (+ 1 N) 1)))))>
6.251 * [simplify]: Simplifying:
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (log1p (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (+ 1 1)
  (+ (log (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))))
  (log (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (exp (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1))
  (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (* (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* 1 1)
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt 1))
  (* (cbrt (fma N (+ 1 N) 1)) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))))
  (* (cbrt (fma N (+ 1 N) 1)) (sqrt (cbrt (fma N (+ 1 N) 1))))
  (* (cbrt (fma N (+ 1 N) 1)) 1)
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1))
  (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3))))
  (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3)))
6.253 * * [simplify]: iteration 1: (93 enodes)
6.279 * * [simplify]: iteration 2: (208 enodes)
6.339 * * [simplify]: iteration 3: (489 enodes)
6.510 * * [simplify]: iteration 4: (1040 enodes)
6.967 * * [simplify]: Extracting #0: cost 37 inf + 0
6.968 * * [simplify]: Extracting #1: cost 231 inf + 3
6.970 * * [simplify]: Extracting #2: cost 472 inf + 1726
6.974 * * [simplify]: Extracting #3: cost 424 inf + 13986
6.985 * * [simplify]: Extracting #4: cost 205 inf + 86152
7.009 * * [simplify]: Extracting #5: cost 22 inf + 165625
7.034 * * [simplify]: Extracting #6: cost 0 inf + 178781
7.060 * [simplify]: Simplified to:
  (expm1 (cbrt (+ (fma N N N) 1)))
  (log1p (cbrt (+ (fma N N N) 1)))
  (log (cbrt (+ (fma N N N) 1)))
  (exp (cbrt (+ (fma N N N) 1)))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  1
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (+ (fma N N N) 1)
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (real->posit16 (cbrt (+ (fma N N N) 1)))
  (expm1 (cbrt (+ (fma N N N) 1)))
  (log1p (cbrt (+ (fma N N N) 1)))
  (log (cbrt (+ (fma N N N) 1)))
  (exp (cbrt (+ (fma N N N) 1)))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  1
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (+ (fma N N N) 1)
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (real->posit16 (cbrt (+ (fma N N N) 1)))
  (expm1 (cbrt (+ (fma N N N) 1)))
  (log1p (cbrt (+ (fma N N N) 1)))
  (log (cbrt (+ (fma N N N) 1)))
  (exp (cbrt (+ (fma N N N) 1)))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  1
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (+ (fma N N N) 1)
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (real->posit16 (cbrt (+ (fma N N N) 1)))
  (expm1 (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (log1p (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  2/3
  2
  (* (+ (fma N N N) 1) (+ (fma N N N) 1))
  (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))
  2
  (log (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (log (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (exp (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (* (+ (fma N N N) 1) (+ (fma N N N) 1))
  (* (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (* (+ (fma N N N) 1) (+ (fma N N N) 1))
  (fabs (cbrt (+ (fma N N N) 1)))
  (fabs (cbrt (+ (fma N N N) 1)))
  (* (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  1
  (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))
  (* (cbrt (+ (fma N N N) 1)) (cbrt (cbrt (+ (fma N N N) 1))))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (+ (fma N N N) 1))
  (cbrt (+ (fma N N N) 1))
  1
  (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (cbrt (+ (fma N N N) 1))
  (cbrt (+ (fma N N N) 1))
  2/3
  2
  (* (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))) (cbrt (+ (fma N N N) 1)))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1)))
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (+ (fma N N N) 1)) (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1)))))
  (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1)))
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (+ (fma N N N) 1)) (cbrt (cbrt (+ (fma N N N) 1))))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1)))
  (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))
  (* (cbrt (+ (fma N N N) 1)) (cbrt (cbrt (+ (fma N N N) 1))))
  (* (sqrt (cbrt (+ (fma N N N) 1))) (cbrt (+ (fma N N N) 1)))
  (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1)))
  (real->posit16 (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (fma N (fma N 2/9 1/3) 1)
  (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 1/3 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (pow (/ -1 N) -2/3)))
  (fma N (fma N 2/9 1/3) 1)
  (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 1/3 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (pow (/ -1 N) -2/3)))
  (fma N (fma N 2/9 1/3) 1)
  (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 N)) 1/3 (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (pow (/ -1 N) -2/3)))
  (fma N (fma N 5/9 2/3) 1)
  (fma (cbrt (/ 1 (* N N))) 5/9 (fma 2/3 (cbrt N) (pow (/ 1 N) -4/3)))
  (fma 2/3 (cbrt N) (fma (cbrt (/ 1 (* N N))) 5/9 (pow (/ -1 N) -4/3)))
7.066 * * * [progress]: adding candidates to table
7.680 * * [progress]: iteration 4 / 4
7.680 * * * [progress]: picking best candidate
7.690 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.690 * * * [progress]: localizing error
7.725 * * * [progress]: generating rewritten candidates
7.725 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1)
7.727 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1)
7.728 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
7.729 * * * [progress]: generating series expansions
7.729 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.729 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.729 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.729 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.730 * [taylor]: Taking taylor expansion of 1/3 in N
7.730 * [backup-simplify]: Simplify 1/3 into 1/3
7.730 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.730 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.730 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.730 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.730 * [taylor]: Taking taylor expansion of N in N
7.730 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify 1 into 1
7.730 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.730 * [taylor]: Taking taylor expansion of N in N
7.730 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify 1 into 1
7.730 * [taylor]: Taking taylor expansion of 1 in N
7.730 * [backup-simplify]: Simplify 1 into 1
7.730 * [taylor]: Taking taylor expansion of 1 in N
7.730 * [backup-simplify]: Simplify 1 into 1
7.730 * [backup-simplify]: Simplify (+ 0 1) into 1
7.731 * [backup-simplify]: Simplify (* 0 1) into 0
7.731 * [backup-simplify]: Simplify (+ 0 1) into 1
7.731 * [backup-simplify]: Simplify (log 1) into 0
7.732 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.732 * [backup-simplify]: Simplify (+ 1 0) into 1
7.732 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.732 * [backup-simplify]: Simplify (+ 1 0) into 1
7.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.734 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.734 * [backup-simplify]: Simplify (exp 0) into 1
7.734 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.734 * [taylor]: Taking taylor expansion of 1/3 in N
7.734 * [backup-simplify]: Simplify 1/3 into 1/3
7.734 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.734 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.734 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.734 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.734 * [taylor]: Taking taylor expansion of N in N
7.734 * [backup-simplify]: Simplify 0 into 0
7.734 * [backup-simplify]: Simplify 1 into 1
7.734 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.734 * [taylor]: Taking taylor expansion of N in N
7.734 * [backup-simplify]: Simplify 0 into 0
7.734 * [backup-simplify]: Simplify 1 into 1
7.734 * [taylor]: Taking taylor expansion of 1 in N
7.734 * [backup-simplify]: Simplify 1 into 1
7.734 * [taylor]: Taking taylor expansion of 1 in N
7.734 * [backup-simplify]: Simplify 1 into 1
7.734 * [backup-simplify]: Simplify (+ 0 1) into 1
7.734 * [backup-simplify]: Simplify (* 0 1) into 0
7.735 * [backup-simplify]: Simplify (+ 0 1) into 1
7.735 * [backup-simplify]: Simplify (log 1) into 0
7.735 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.736 * [backup-simplify]: Simplify (+ 1 0) into 1
7.736 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.736 * [backup-simplify]: Simplify (+ 1 0) into 1
7.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.737 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.737 * [backup-simplify]: Simplify (exp 0) into 1
7.737 * [backup-simplify]: Simplify 1 into 1
7.738 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.738 * [backup-simplify]: Simplify 1/3 into 1/3
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.739 * [backup-simplify]: Simplify (+ 1 0) into 1
7.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.741 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.742 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.742 * [backup-simplify]: Simplify 2/9 into 2/9
7.742 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.742 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.743 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.743 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.743 * [taylor]: Taking taylor expansion of 1/3 in N
7.743 * [backup-simplify]: Simplify 1/3 into 1/3
7.743 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.743 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.743 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.743 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.743 * [taylor]: Taking taylor expansion of N in N
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (/ 1 1) into 1
7.743 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.743 * [taylor]: Taking taylor expansion of N in N
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (/ 1 1) into 1
7.743 * [taylor]: Taking taylor expansion of 1 in N
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [taylor]: Taking taylor expansion of 1 in N
7.747 * [backup-simplify]: Simplify 1 into 1
7.747 * [backup-simplify]: Simplify (+ 1 0) into 1
7.748 * [backup-simplify]: Simplify (* 1 1) into 1
7.748 * [backup-simplify]: Simplify (+ 1 0) into 1
7.748 * [backup-simplify]: Simplify (log 1) into 0
7.748 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.749 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.749 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.749 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.749 * [taylor]: Taking taylor expansion of 1/3 in N
7.749 * [backup-simplify]: Simplify 1/3 into 1/3
7.749 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.749 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.749 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.749 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.749 * [taylor]: Taking taylor expansion of N in N
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (/ 1 1) into 1
7.749 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.749 * [taylor]: Taking taylor expansion of N in N
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (/ 1 1) into 1
7.749 * [taylor]: Taking taylor expansion of 1 in N
7.749 * [backup-simplify]: Simplify 1 into 1
7.749 * [taylor]: Taking taylor expansion of 1 in N
7.750 * [backup-simplify]: Simplify 1 into 1
7.750 * [backup-simplify]: Simplify (+ 1 0) into 1
7.750 * [backup-simplify]: Simplify (* 1 1) into 1
7.750 * [backup-simplify]: Simplify (+ 1 0) into 1
7.750 * [backup-simplify]: Simplify (log 1) into 0
7.751 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.751 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.751 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.751 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.752 * [backup-simplify]: Simplify (+ 0 1) into 1
7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.753 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.753 * [backup-simplify]: Simplify (+ 1 0) into 1
7.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.754 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.754 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.755 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.755 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.756 * [backup-simplify]: Simplify (+ 0 0) into 0
7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.757 * [backup-simplify]: Simplify (+ 0 1) into 1
7.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.759 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.760 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.760 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.761 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.761 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.761 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.761 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.761 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.761 * [taylor]: Taking taylor expansion of 1/3 in N
7.761 * [backup-simplify]: Simplify 1/3 into 1/3
7.761 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.761 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.761 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.761 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.761 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.761 * [taylor]: Taking taylor expansion of -1 in N
7.761 * [backup-simplify]: Simplify -1 into -1
7.761 * [taylor]: Taking taylor expansion of N in N
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (/ -1 1) into -1
7.762 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.762 * [taylor]: Taking taylor expansion of 1 in N
7.762 * [backup-simplify]: Simplify 1 into 1
7.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.762 * [taylor]: Taking taylor expansion of N in N
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (/ 1 1) into 1
7.762 * [taylor]: Taking taylor expansion of 1 in N
7.762 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (- 1) into -1
7.763 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.763 * [backup-simplify]: Simplify (* -1 -1) into 1
7.763 * [backup-simplify]: Simplify (+ 1 0) into 1
7.763 * [backup-simplify]: Simplify (log 1) into 0
7.764 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.764 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.764 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.764 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.764 * [taylor]: Taking taylor expansion of 1/3 in N
7.764 * [backup-simplify]: Simplify 1/3 into 1/3
7.764 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.764 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.764 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.764 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.764 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.764 * [taylor]: Taking taylor expansion of -1 in N
7.764 * [backup-simplify]: Simplify -1 into -1
7.764 * [taylor]: Taking taylor expansion of N in N
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify 1 into 1
7.764 * [backup-simplify]: Simplify (/ -1 1) into -1
7.765 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.765 * [taylor]: Taking taylor expansion of 1 in N
7.765 * [backup-simplify]: Simplify 1 into 1
7.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.765 * [taylor]: Taking taylor expansion of N in N
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify 1 into 1
7.765 * [backup-simplify]: Simplify (/ 1 1) into 1
7.765 * [taylor]: Taking taylor expansion of 1 in N
7.765 * [backup-simplify]: Simplify 1 into 1
7.765 * [backup-simplify]: Simplify (- 1) into -1
7.765 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.766 * [backup-simplify]: Simplify (* -1 -1) into 1
7.766 * [backup-simplify]: Simplify (+ 1 0) into 1
7.766 * [backup-simplify]: Simplify (log 1) into 0
7.767 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.767 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.767 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.767 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.768 * [backup-simplify]: Simplify (- 0) into 0
7.768 * [backup-simplify]: Simplify (+ 1 0) into 1
7.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.769 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.769 * [backup-simplify]: Simplify (+ -1 0) into -1
7.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.770 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.771 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.771 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.771 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.772 * [backup-simplify]: Simplify (- 0) into 0
7.773 * [backup-simplify]: Simplify (+ 0 0) into 0
7.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.774 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.774 * [backup-simplify]: Simplify (+ 0 1) into 1
7.776 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.776 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.777 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.778 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.778 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.779 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.779 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1)
7.779 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.779 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.779 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.779 * [taylor]: Taking taylor expansion of 1/3 in N
7.779 * [backup-simplify]: Simplify 1/3 into 1/3
7.779 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.779 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.779 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.779 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.779 * [taylor]: Taking taylor expansion of N in N
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.779 * [taylor]: Taking taylor expansion of N in N
7.779 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [taylor]: Taking taylor expansion of 1 in N
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [taylor]: Taking taylor expansion of 1 in N
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [backup-simplify]: Simplify (+ 0 1) into 1
7.780 * [backup-simplify]: Simplify (* 0 1) into 0
7.781 * [backup-simplify]: Simplify (+ 0 1) into 1
7.781 * [backup-simplify]: Simplify (log 1) into 0
7.781 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.782 * [backup-simplify]: Simplify (+ 1 0) into 1
7.782 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.782 * [backup-simplify]: Simplify (+ 1 0) into 1
7.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.783 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.783 * [backup-simplify]: Simplify (exp 0) into 1
7.783 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.783 * [taylor]: Taking taylor expansion of 1/3 in N
7.783 * [backup-simplify]: Simplify 1/3 into 1/3
7.784 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.784 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.784 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.784 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.784 * [taylor]: Taking taylor expansion of N in N
7.784 * [backup-simplify]: Simplify 0 into 0
7.784 * [backup-simplify]: Simplify 1 into 1
7.784 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.784 * [taylor]: Taking taylor expansion of N in N
7.784 * [backup-simplify]: Simplify 0 into 0
7.784 * [backup-simplify]: Simplify 1 into 1
7.784 * [taylor]: Taking taylor expansion of 1 in N
7.784 * [backup-simplify]: Simplify 1 into 1
7.784 * [taylor]: Taking taylor expansion of 1 in N
7.784 * [backup-simplify]: Simplify 1 into 1
7.784 * [backup-simplify]: Simplify (+ 0 1) into 1
7.784 * [backup-simplify]: Simplify (* 0 1) into 0
7.785 * [backup-simplify]: Simplify (+ 0 1) into 1
7.785 * [backup-simplify]: Simplify (log 1) into 0
7.785 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.785 * [backup-simplify]: Simplify (+ 1 0) into 1
7.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.786 * [backup-simplify]: Simplify (+ 1 0) into 1
7.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.787 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.787 * [backup-simplify]: Simplify (exp 0) into 1
7.787 * [backup-simplify]: Simplify 1 into 1
7.788 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.788 * [backup-simplify]: Simplify 1/3 into 1/3
7.788 * [backup-simplify]: Simplify (+ 0 0) into 0
7.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.789 * [backup-simplify]: Simplify (+ 1 0) into 1
7.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.791 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.792 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.792 * [backup-simplify]: Simplify 2/9 into 2/9
7.792 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.793 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.793 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.793 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.793 * [taylor]: Taking taylor expansion of 1/3 in N
7.793 * [backup-simplify]: Simplify 1/3 into 1/3
7.793 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.793 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.793 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.793 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.793 * [taylor]: Taking taylor expansion of N in N
7.793 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify 1 into 1
7.793 * [backup-simplify]: Simplify (/ 1 1) into 1
7.793 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.793 * [taylor]: Taking taylor expansion of N in N
7.793 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify 1 into 1
7.793 * [backup-simplify]: Simplify (/ 1 1) into 1
7.793 * [taylor]: Taking taylor expansion of 1 in N
7.793 * [backup-simplify]: Simplify 1 into 1
7.793 * [taylor]: Taking taylor expansion of 1 in N
7.793 * [backup-simplify]: Simplify 1 into 1
7.794 * [backup-simplify]: Simplify (+ 1 0) into 1
7.794 * [backup-simplify]: Simplify (* 1 1) into 1
7.794 * [backup-simplify]: Simplify (+ 1 0) into 1
7.795 * [backup-simplify]: Simplify (log 1) into 0
7.795 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.795 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.795 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.795 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.795 * [taylor]: Taking taylor expansion of 1/3 in N
7.795 * [backup-simplify]: Simplify 1/3 into 1/3
7.795 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.795 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.795 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.795 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.795 * [taylor]: Taking taylor expansion of N in N
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify (/ 1 1) into 1
7.795 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.795 * [taylor]: Taking taylor expansion of N in N
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.796 * [backup-simplify]: Simplify (/ 1 1) into 1
7.796 * [taylor]: Taking taylor expansion of 1 in N
7.796 * [backup-simplify]: Simplify 1 into 1
7.796 * [taylor]: Taking taylor expansion of 1 in N
7.796 * [backup-simplify]: Simplify 1 into 1
7.796 * [backup-simplify]: Simplify (+ 1 0) into 1
7.796 * [backup-simplify]: Simplify (* 1 1) into 1
7.797 * [backup-simplify]: Simplify (+ 1 0) into 1
7.797 * [backup-simplify]: Simplify (log 1) into 0
7.797 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.797 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.797 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.797 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.798 * [backup-simplify]: Simplify (+ 0 1) into 1
7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.799 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.799 * [backup-simplify]: Simplify (+ 1 0) into 1
7.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.800 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.800 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.801 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.801 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.802 * [backup-simplify]: Simplify (+ 0 0) into 0
7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 1) into 1
7.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.805 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.806 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.806 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.806 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.807 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.807 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.807 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.807 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.807 * [taylor]: Taking taylor expansion of 1/3 in N
7.807 * [backup-simplify]: Simplify 1/3 into 1/3
7.807 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.807 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.807 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.807 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.807 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.807 * [taylor]: Taking taylor expansion of -1 in N
7.807 * [backup-simplify]: Simplify -1 into -1
7.807 * [taylor]: Taking taylor expansion of N in N
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [backup-simplify]: Simplify 1 into 1
7.808 * [backup-simplify]: Simplify (/ -1 1) into -1
7.808 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.808 * [taylor]: Taking taylor expansion of 1 in N
7.808 * [backup-simplify]: Simplify 1 into 1
7.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.808 * [taylor]: Taking taylor expansion of N in N
7.808 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify 1 into 1
7.808 * [backup-simplify]: Simplify (/ 1 1) into 1
7.808 * [taylor]: Taking taylor expansion of 1 in N
7.808 * [backup-simplify]: Simplify 1 into 1
7.808 * [backup-simplify]: Simplify (- 1) into -1
7.808 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.809 * [backup-simplify]: Simplify (* -1 -1) into 1
7.809 * [backup-simplify]: Simplify (+ 1 0) into 1
7.809 * [backup-simplify]: Simplify (log 1) into 0
7.809 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.809 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.810 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.810 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.810 * [taylor]: Taking taylor expansion of 1/3 in N
7.810 * [backup-simplify]: Simplify 1/3 into 1/3
7.810 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.810 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.810 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.810 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.810 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.810 * [taylor]: Taking taylor expansion of -1 in N
7.810 * [backup-simplify]: Simplify -1 into -1
7.810 * [taylor]: Taking taylor expansion of N in N
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (/ -1 1) into -1
7.810 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.810 * [taylor]: Taking taylor expansion of 1 in N
7.810 * [backup-simplify]: Simplify 1 into 1
7.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.810 * [taylor]: Taking taylor expansion of N in N
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (/ 1 1) into 1
7.810 * [taylor]: Taking taylor expansion of 1 in N
7.810 * [backup-simplify]: Simplify 1 into 1
7.811 * [backup-simplify]: Simplify (- 1) into -1
7.811 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.811 * [backup-simplify]: Simplify (* -1 -1) into 1
7.811 * [backup-simplify]: Simplify (+ 1 0) into 1
7.812 * [backup-simplify]: Simplify (log 1) into 0
7.812 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.812 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.812 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.812 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.813 * [backup-simplify]: Simplify (- 0) into 0
7.813 * [backup-simplify]: Simplify (+ 1 0) into 1
7.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.814 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.814 * [backup-simplify]: Simplify (+ -1 0) into -1
7.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.815 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.816 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.816 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.816 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.817 * [backup-simplify]: Simplify (- 0) into 0
7.818 * [backup-simplify]: Simplify (+ 0 0) into 0
7.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.819 * [backup-simplify]: Simplify (+ 0 1) into 1
7.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.821 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.821 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.822 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.822 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.823 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.823 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1)
7.823 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.823 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.823 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.823 * [taylor]: Taking taylor expansion of 1/3 in N
7.823 * [backup-simplify]: Simplify 1/3 into 1/3
7.823 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.823 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.823 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.823 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.823 * [taylor]: Taking taylor expansion of N in N
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 1 into 1
7.823 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.823 * [taylor]: Taking taylor expansion of N in N
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 1 into 1
7.823 * [taylor]: Taking taylor expansion of 1 in N
7.823 * [backup-simplify]: Simplify 1 into 1
7.823 * [taylor]: Taking taylor expansion of 1 in N
7.823 * [backup-simplify]: Simplify 1 into 1
7.824 * [backup-simplify]: Simplify (+ 0 1) into 1
7.824 * [backup-simplify]: Simplify (* 0 1) into 0
7.824 * [backup-simplify]: Simplify (+ 0 1) into 1
7.824 * [backup-simplify]: Simplify (log 1) into 0
7.825 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.825 * [backup-simplify]: Simplify (+ 1 0) into 1
7.825 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.826 * [backup-simplify]: Simplify (+ 1 0) into 1
7.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.827 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.827 * [backup-simplify]: Simplify (exp 0) into 1
7.827 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.827 * [taylor]: Taking taylor expansion of 1/3 in N
7.827 * [backup-simplify]: Simplify 1/3 into 1/3
7.827 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.827 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.827 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.827 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.827 * [taylor]: Taking taylor expansion of N in N
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.827 * [taylor]: Taking taylor expansion of N in N
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [taylor]: Taking taylor expansion of 1 in N
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [taylor]: Taking taylor expansion of 1 in N
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (+ 0 1) into 1
7.828 * [backup-simplify]: Simplify (* 0 1) into 0
7.828 * [backup-simplify]: Simplify (+ 0 1) into 1
7.828 * [backup-simplify]: Simplify (log 1) into 0
7.828 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.829 * [backup-simplify]: Simplify (+ 1 0) into 1
7.829 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.829 * [backup-simplify]: Simplify (+ 1 0) into 1
7.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.830 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.830 * [backup-simplify]: Simplify (exp 0) into 1
7.830 * [backup-simplify]: Simplify 1 into 1
7.831 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.831 * [backup-simplify]: Simplify 1/3 into 1/3
7.831 * [backup-simplify]: Simplify (+ 0 0) into 0
7.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.832 * [backup-simplify]: Simplify (+ 1 0) into 1
7.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.836 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.837 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.837 * [backup-simplify]: Simplify 2/9 into 2/9
7.838 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.838 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.838 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.838 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.838 * [taylor]: Taking taylor expansion of 1/3 in N
7.838 * [backup-simplify]: Simplify 1/3 into 1/3
7.838 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.838 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.838 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.838 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.838 * [taylor]: Taking taylor expansion of N in N
7.838 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify 1 into 1
7.838 * [backup-simplify]: Simplify (/ 1 1) into 1
7.838 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.838 * [taylor]: Taking taylor expansion of N in N
7.838 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify 1 into 1
7.839 * [backup-simplify]: Simplify (/ 1 1) into 1
7.839 * [taylor]: Taking taylor expansion of 1 in N
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [taylor]: Taking taylor expansion of 1 in N
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [backup-simplify]: Simplify (+ 1 0) into 1
7.839 * [backup-simplify]: Simplify (* 1 1) into 1
7.839 * [backup-simplify]: Simplify (+ 1 0) into 1
7.840 * [backup-simplify]: Simplify (log 1) into 0
7.840 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.840 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.840 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.840 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.840 * [taylor]: Taking taylor expansion of 1/3 in N
7.840 * [backup-simplify]: Simplify 1/3 into 1/3
7.840 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.840 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.840 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.840 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.840 * [taylor]: Taking taylor expansion of N in N
7.840 * [backup-simplify]: Simplify 0 into 0
7.840 * [backup-simplify]: Simplify 1 into 1
7.841 * [backup-simplify]: Simplify (/ 1 1) into 1
7.841 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.841 * [taylor]: Taking taylor expansion of N in N
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 1 into 1
7.841 * [backup-simplify]: Simplify (/ 1 1) into 1
7.841 * [taylor]: Taking taylor expansion of 1 in N
7.841 * [backup-simplify]: Simplify 1 into 1
7.841 * [taylor]: Taking taylor expansion of 1 in N
7.841 * [backup-simplify]: Simplify 1 into 1
7.841 * [backup-simplify]: Simplify (+ 1 0) into 1
7.841 * [backup-simplify]: Simplify (* 1 1) into 1
7.842 * [backup-simplify]: Simplify (+ 1 0) into 1
7.842 * [backup-simplify]: Simplify (log 1) into 0
7.842 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.842 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.842 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.842 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.843 * [backup-simplify]: Simplify (+ 0 1) into 1
7.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.844 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.844 * [backup-simplify]: Simplify (+ 1 0) into 1
7.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.845 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.846 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.846 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.846 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.847 * [backup-simplify]: Simplify (+ 0 0) into 0
7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.848 * [backup-simplify]: Simplify (+ 0 1) into 1
7.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.850 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.851 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.851 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.852 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.852 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.852 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.852 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.852 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.852 * [taylor]: Taking taylor expansion of 1/3 in N
7.852 * [backup-simplify]: Simplify 1/3 into 1/3
7.852 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.852 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.852 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.852 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.852 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.852 * [taylor]: Taking taylor expansion of -1 in N
7.852 * [backup-simplify]: Simplify -1 into -1
7.852 * [taylor]: Taking taylor expansion of N in N
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify 1 into 1
7.853 * [backup-simplify]: Simplify (/ -1 1) into -1
7.853 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.853 * [taylor]: Taking taylor expansion of 1 in N
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.853 * [taylor]: Taking taylor expansion of N in N
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [backup-simplify]: Simplify (/ 1 1) into 1
7.853 * [taylor]: Taking taylor expansion of 1 in N
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [backup-simplify]: Simplify (- 1) into -1
7.854 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.854 * [backup-simplify]: Simplify (* -1 -1) into 1
7.854 * [backup-simplify]: Simplify (+ 1 0) into 1
7.854 * [backup-simplify]: Simplify (log 1) into 0
7.855 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.855 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.855 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.855 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.855 * [taylor]: Taking taylor expansion of 1/3 in N
7.855 * [backup-simplify]: Simplify 1/3 into 1/3
7.855 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.855 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.855 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.855 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.855 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.855 * [taylor]: Taking taylor expansion of -1 in N
7.855 * [backup-simplify]: Simplify -1 into -1
7.855 * [taylor]: Taking taylor expansion of N in N
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 1 into 1
7.855 * [backup-simplify]: Simplify (/ -1 1) into -1
7.855 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.855 * [taylor]: Taking taylor expansion of 1 in N
7.855 * [backup-simplify]: Simplify 1 into 1
7.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.855 * [taylor]: Taking taylor expansion of N in N
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 1 into 1
7.856 * [backup-simplify]: Simplify (/ 1 1) into 1
7.856 * [taylor]: Taking taylor expansion of 1 in N
7.856 * [backup-simplify]: Simplify 1 into 1
7.856 * [backup-simplify]: Simplify (- 1) into -1
7.856 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.856 * [backup-simplify]: Simplify (* -1 -1) into 1
7.857 * [backup-simplify]: Simplify (+ 1 0) into 1
7.857 * [backup-simplify]: Simplify (log 1) into 0
7.857 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.857 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.857 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.857 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.858 * [backup-simplify]: Simplify (- 0) into 0
7.858 * [backup-simplify]: Simplify (+ 1 0) into 1
7.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.859 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.860 * [backup-simplify]: Simplify (+ -1 0) into -1
7.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.861 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.861 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.861 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.862 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.862 * [backup-simplify]: Simplify (- 0) into 0
7.863 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.864 * [backup-simplify]: Simplify (+ 0 1) into 1
7.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.866 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.866 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.867 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.868 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.868 * [backup-simplify]: Simplify (+ (* (* 2/9 (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) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
7.868 * [backup-simplify]: Simplify (sqrt (fma N (+ 1 N) 1)) into (sqrt (fma N (+ N 1) 1))
7.868 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in (N) around 0
7.868 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in N
7.868 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.868 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.868 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.868 * [taylor]: Taking taylor expansion of N in N
7.868 * [backup-simplify]: Simplify 0 into 0
7.868 * [backup-simplify]: Simplify 1 into 1
7.868 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.868 * [taylor]: Taking taylor expansion of N in N
7.868 * [backup-simplify]: Simplify 0 into 0
7.868 * [backup-simplify]: Simplify 1 into 1
7.868 * [taylor]: Taking taylor expansion of 1 in N
7.868 * [backup-simplify]: Simplify 1 into 1
7.868 * [taylor]: Taking taylor expansion of 1 in N
7.868 * [backup-simplify]: Simplify 1 into 1
7.869 * [backup-simplify]: Simplify (+ 0 1) into 1
7.869 * [backup-simplify]: Simplify (* 0 1) into 0
7.869 * [backup-simplify]: Simplify (+ 0 1) into 1
7.869 * [backup-simplify]: Simplify (sqrt 1) into 1
7.870 * [backup-simplify]: Simplify (+ 1 0) into 1
7.870 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.870 * [backup-simplify]: Simplify (+ 1 0) into 1
7.871 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
7.871 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1) 1)) in N
7.871 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.871 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.871 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.871 * [taylor]: Taking taylor expansion of N in N
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.871 * [taylor]: Taking taylor expansion of N in N
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [taylor]: Taking taylor expansion of 1 in N
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [taylor]: Taking taylor expansion of 1 in N
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [backup-simplify]: Simplify (+ 0 1) into 1
7.872 * [backup-simplify]: Simplify (* 0 1) into 0
7.872 * [backup-simplify]: Simplify (+ 0 1) into 1
7.872 * [backup-simplify]: Simplify (sqrt 1) into 1
7.872 * [backup-simplify]: Simplify (+ 1 0) into 1
7.873 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.873 * [backup-simplify]: Simplify (+ 1 0) into 1
7.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
7.873 * [backup-simplify]: Simplify 1 into 1
7.873 * [backup-simplify]: Simplify 1/2 into 1/2
7.874 * [backup-simplify]: Simplify (+ 0 0) into 0
7.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.875 * [backup-simplify]: Simplify (+ 1 0) into 1
7.875 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
7.875 * [backup-simplify]: Simplify 3/8 into 3/8
7.875 * [backup-simplify]: Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))
7.875 * [backup-simplify]: Simplify (sqrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))
7.875 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
7.875 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.875 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.875 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.875 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.876 * [taylor]: Taking taylor expansion of N in N
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (/ 1 1) into 1
7.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.876 * [taylor]: Taking taylor expansion of N in N
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (/ 1 1) into 1
7.876 * [taylor]: Taking taylor expansion of 1 in N
7.876 * [backup-simplify]: Simplify 1 into 1
7.876 * [taylor]: Taking taylor expansion of 1 in N
7.876 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (+ 1 0) into 1
7.877 * [backup-simplify]: Simplify (* 1 1) into 1
7.877 * [backup-simplify]: Simplify (+ 1 0) into 1
7.877 * [backup-simplify]: Simplify (sqrt 1) into 1
7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (+ 0 1) into 1
7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.879 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.879 * [backup-simplify]: Simplify (+ 1 0) into 1
7.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
7.879 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.879 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.879 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.880 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.880 * [taylor]: Taking taylor expansion of N in N
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (/ 1 1) into 1
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.880 * [taylor]: Taking taylor expansion of N in N
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (/ 1 1) into 1
7.880 * [taylor]: Taking taylor expansion of 1 in N
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [taylor]: Taking taylor expansion of 1 in N
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (+ 1 0) into 1
7.881 * [backup-simplify]: Simplify (* 1 1) into 1
7.881 * [backup-simplify]: Simplify (+ 1 0) into 1
7.881 * [backup-simplify]: Simplify (sqrt 1) into 1
7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.882 * [backup-simplify]: Simplify (+ 0 1) into 1
7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.883 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.883 * [backup-simplify]: Simplify (+ 1 0) into 1
7.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
7.883 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify 1/2 into 1/2
7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.886 * [backup-simplify]: Simplify (+ 0 1) into 1
7.886 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
7.886 * [backup-simplify]: Simplify 3/8 into 3/8
7.886 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2))
7.887 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1))
7.887 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
7.887 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.887 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.887 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.887 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.887 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.887 * [taylor]: Taking taylor expansion of -1 in N
7.887 * [backup-simplify]: Simplify -1 into -1
7.887 * [taylor]: Taking taylor expansion of N in N
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [backup-simplify]: Simplify (/ -1 1) into -1
7.887 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.887 * [taylor]: Taking taylor expansion of 1 in N
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.887 * [taylor]: Taking taylor expansion of N in N
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [backup-simplify]: Simplify (/ 1 1) into 1
7.887 * [taylor]: Taking taylor expansion of 1 in N
7.887 * [backup-simplify]: Simplify 1 into 1
7.888 * [backup-simplify]: Simplify (- 1) into -1
7.888 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.888 * [backup-simplify]: Simplify (* -1 -1) into 1
7.888 * [backup-simplify]: Simplify (+ 1 0) into 1
7.889 * [backup-simplify]: Simplify (sqrt 1) into 1
7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.889 * [backup-simplify]: Simplify (- 0) into 0
7.890 * [backup-simplify]: Simplify (+ 1 0) into 1
7.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.891 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.891 * [backup-simplify]: Simplify (+ -1 0) into -1
7.891 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
7.891 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.891 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.891 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.891 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.891 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.891 * [taylor]: Taking taylor expansion of -1 in N
7.891 * [backup-simplify]: Simplify -1 into -1
7.891 * [taylor]: Taking taylor expansion of N in N
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify (/ -1 1) into -1
7.892 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.892 * [taylor]: Taking taylor expansion of 1 in N
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.892 * [taylor]: Taking taylor expansion of N in N
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify (/ 1 1) into 1
7.892 * [taylor]: Taking taylor expansion of 1 in N
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify (- 1) into -1
7.893 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.893 * [backup-simplify]: Simplify (* -1 -1) into 1
7.893 * [backup-simplify]: Simplify (+ 1 0) into 1
7.893 * [backup-simplify]: Simplify (sqrt 1) into 1
7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.894 * [backup-simplify]: Simplify (- 0) into 0
7.894 * [backup-simplify]: Simplify (+ 1 0) into 1
7.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.895 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.896 * [backup-simplify]: Simplify (+ -1 0) into -1
7.896 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
7.896 * [backup-simplify]: Simplify 1 into 1
7.896 * [backup-simplify]: Simplify -1/2 into -1/2
7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.897 * [backup-simplify]: Simplify (- 0) into 0
7.897 * [backup-simplify]: Simplify (+ 0 0) into 0
7.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.898 * [backup-simplify]: Simplify (+ 0 1) into 1
7.899 * [backup-simplify]: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8
7.899 * [backup-simplify]: Simplify 3/8 into 3/8
7.899 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))
7.899 * * * [progress]: simplifying candidates
7.899 * * * * [progress]: [ 1 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (log1p (expm1 (cbrt (fma N (+ 1 N) 1)))))))>
7.899 * * * * [progress]: [ 2 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (expm1 (log1p (cbrt (fma N (+ 1 N) 1)))))))>
7.899 * * * * [progress]: [ 3 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (pow (fma N (+ 1 N) 1) 1/3))))>
7.900 * * * * [progress]: [ 4 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (pow (cbrt (fma N (+ 1 N) 1)) 1))))>
7.900 * * * * [progress]: [ 5 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (exp (log (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 6 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (log (exp (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 7 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 8 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 9 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (cbrt 1) (cbrt (fma N (+ 1 N) 1))))))>
7.900 * * * * [progress]: [ 10 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 11 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 12 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 13 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* 1 (cbrt (fma N (+ 1 N) 1))))))>
7.900 * * * * [progress]: [ 14 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1)))))))>
7.900 * * * * [progress]: [ 15 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (log1p (expm1 (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (expm1 (log1p (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 17 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (pow (fma N (+ 1 N) 1) 1/3)))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 18 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (pow (cbrt (fma N (+ 1 N) 1)) 1)))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 19 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (exp (log (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 20 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (log (exp (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 21 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 22 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 23 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt 1) (cbrt (fma N (+ 1 N) 1)))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 24 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 25 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.900 * * * * [progress]: [ 26 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 27 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* 1 (cbrt (fma N (+ 1 N) 1)))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 28 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 29 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (log1p (expm1 (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 30 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (expm1 (log1p (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 31 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (pow (fma N (+ 1 N) 1) 1/3))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (pow (cbrt (fma N (+ 1 N) 1)) 1))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 33 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (exp (log (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 34 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (log (exp (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 35 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 36 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 37 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (cbrt 1) (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 38 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 39 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 40 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 41 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (* 1 (cbrt (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 42 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (posit16->real (real->posit16 (cbrt (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 43 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (log1p (expm1 (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 44 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (expm1 (log1p (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 45 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (pow (fma N (+ 1 N) 1) 1/2)) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 46 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (pow (sqrt (fma N (+ 1 N) 1)) 1)) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 47 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (exp (log (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 48 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (log (exp (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.901 * * * * [progress]: [ 49 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 50 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (* (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1))) (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 51 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 52 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 53 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* (sqrt 1) (sqrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 54 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (pow (fma N (+ 1 N) 1) (/ 1 2))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 55 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* (sqrt (sqrt (fma N (+ 1 N) 1))) (sqrt (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 56 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (fabs (sqrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 57 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (* 1 (sqrt (fma N (+ 1 N) 1)))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (posit16->real (real->posit16 (sqrt (fma N (+ 1 N) 1))))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 59 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
7.902 * * * * [progress]: [ 60 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
7.902 * * * * [progress]: [ 61 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
7.902 * * * * [progress]: [ 62 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 63 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 64 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 65 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 66 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 67 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 68 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 69 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (+ (* 3/8 (/ 1 N)) (+ N 1/2))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.902 * * * * [progress]: [ 70 / 70 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>
7.903 * [simplify]: Simplifying:
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (cbrt (fma N (+ 1 N) 1)))
  (log1p (cbrt (fma N (+ 1 N) 1)))
  (log (cbrt (fma N (+ 1 N) 1)))
  (exp (cbrt (fma N (+ 1 N) 1)))
  (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (cbrt 1)
  (cbrt (fma N (+ 1 N) 1))
  (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
  (cbrt (cbrt (fma N (+ 1 N) 1)))
  (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (real->posit16 (cbrt (fma N (+ 1 N) 1)))
  (expm1 (sqrt (fma N (+ 1 N) 1)))
  (log1p (sqrt (fma N (+ 1 N) 1)))
  (log (sqrt (fma N (+ 1 N) 1)))
  (exp (sqrt (fma N (+ 1 N) 1)))
  (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
  (cbrt (sqrt (fma N (+ 1 N) 1)))
  (* (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1))) (sqrt (fma N (+ 1 N) 1)))
  (sqrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
  (sqrt (cbrt (fma N (+ 1 N) 1)))
  (sqrt (sqrt (fma N (+ 1 N) 1)))
  (sqrt (sqrt (fma N (+ 1 N) 1)))
  (sqrt 1)
  (sqrt (fma N (+ 1 N) 1))
  (/ 1 2)
  (sqrt (sqrt (fma N (+ 1 N) 1)))
  (sqrt (sqrt (fma N (+ 1 N) 1)))
  (real->posit16 (sqrt (fma N (+ 1 N) 1)))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
  (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))
  (+ (* 3/8 (/ 1 N)) (+ N 1/2))
  (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))
7.904 * * [simplify]: iteration 1: (66 enodes)
7.922 * * [simplify]: iteration 2: (133 enodes)
7.955 * * [simplify]: iteration 3: (281 enodes)
8.045 * * [simplify]: iteration 4: (602 enodes)
8.305 * * [simplify]: iteration 5: (1157 enodes)
9.043 * * [simplify]: Extracting #0: cost 30 inf + 0
9.043 * * [simplify]: Extracting #1: cost 145 inf + 2
9.045 * * [simplify]: Extracting #2: cost 254 inf + 95
9.047 * * [simplify]: Extracting #3: cost 237 inf + 5487
9.052 * * [simplify]: Extracting #4: cost 175 inf + 25425
9.066 * * [simplify]: Extracting #5: cost 57 inf + 84749
9.084 * * [simplify]: Extracting #6: cost 4 inf + 114111
9.100 * * [simplify]: Extracting #7: cost 0 inf + 116911
9.117 * [simplify]: Simplified to:
  (expm1 (cbrt (+ (fma N N N) 1)))
  (log1p (cbrt (+ (fma N N N) 1)))
  (log (cbrt (+ (fma N N N) 1)))
  (exp (cbrt (+ (fma N N N) 1)))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  1
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (+ (fma N N N) 1)
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (real->posit16 (cbrt (+ (fma N N N) 1)))
  (expm1 (cbrt (+ (fma N N N) 1)))
  (log1p (cbrt (+ (fma N N N) 1)))
  (log (cbrt (+ (fma N N N) 1)))
  (exp (cbrt (+ (fma N N N) 1)))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  1
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (+ (fma N N N) 1)
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (real->posit16 (cbrt (+ (fma N N N) 1)))
  (expm1 (cbrt (+ (fma N N N) 1)))
  (log1p (cbrt (+ (fma N N N) 1)))
  (log (cbrt (+ (fma N N N) 1)))
  (exp (cbrt (+ (fma N N N) 1)))
  (cbrt (* (cbrt (+ (fma N N N) 1)) (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (cbrt (sqrt (+ (fma N N N) 1)))
  1
  (cbrt (+ (fma N N N) 1))
  (* (cbrt (cbrt (+ (fma N N N) 1))) (cbrt (cbrt (+ (fma N N N) 1))))
  (cbrt (cbrt (+ (fma N N N) 1)))
  (+ (fma N N N) 1)
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (real->posit16 (cbrt (+ (fma N N N) 1)))
  (expm1 (sqrt (+ (fma N N N) 1)))
  (log1p (sqrt (+ (fma N N N) 1)))
  (log (sqrt (+ (fma N N N) 1)))
  (exp (sqrt (+ (fma N N N) 1)))
  (* (cbrt (sqrt (+ (fma N N N) 1))) (cbrt (sqrt (+ (fma N N N) 1))))
  (cbrt (sqrt (+ (fma N N N) 1)))
  (* (sqrt (+ (fma N N N) 1)) (+ (fma N N N) 1))
  (fabs (cbrt (+ (fma N N N) 1)))
  (sqrt (cbrt (+ (fma N N N) 1)))
  (sqrt (sqrt (+ (fma N N N) 1)))
  (sqrt (sqrt (+ (fma N N N) 1)))
  1
  (sqrt (+ (fma N N N) 1))
  1/2
  (sqrt (sqrt (+ (fma N N N) 1)))
  (sqrt (sqrt (+ (fma N N N) 1)))
  (real->posit16 (sqrt (+ (fma N N N) 1)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (- (/ 1 N)) -2/3)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (- (/ 1 N)) -2/3)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (fma (cbrt (/ 1 N)) 1/3 (pow (- (/ 1 N)) -2/3)))
  (fma N (fma 3/8 N 1/2) 1)
  (+ (/ 3/8 N) (+ 1/2 N))
  (+ -1/2 (- (/ -3/8 N) N))
9.124 * * * [progress]: adding candidates to table
9.784 * [progress]: [Phase 3 of 3] Extracting.
9.784 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1)))))> #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ 1 N) 1)))> #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))))))> #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>)
9.787 * * * [regime-changes]: Trying 1 branch expressions: (N)
9.787 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1)))))> #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ 1 N) 1)))> #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))))))> #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ 1 N) 1)))))>)
9.816 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
9.817 * [simplify]: Simplifying:
  (atan2 1 (fma N (+ 1 N) 1))
9.817 * * [simplify]: iteration 1: (5 enodes)
9.817 * * [simplify]: iteration 2: (6 enodes)
9.817 * * [simplify]: Extracting #0: cost 1 inf + 0
9.817 * * [simplify]: Extracting #1: cost 3 inf + 0
9.817 * * [simplify]: Extracting #2: cost 4 inf + 1
9.817 * * [simplify]: Extracting #3: cost 0 inf + 378
9.817 * [simplify]: Simplified to:
  (atan2 1 (fma N (+ N 1) 1))
11.732 * [regime-testing]: Baseline error score: 0.39007885259042024
11.734 * [regime-testing]: Oracle error score: 0.3655026602537879
11.739 * [regime-testing]: End program error score: 0.39007885259042024
11.774 * [regime-testing]: Target error score: 0.39140213831372583