48.865 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.064 * * * [progress]: [2/2] Setting up program.
0.069 * [progress]: [Phase 2 of 3] Improving.
0.069 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.069 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.069 * * [simplify]: iteration 0: 6 enodes
0.071 * * [simplify]: iteration 1: 11 enodes
0.075 * * [simplify]: iteration 2: 12 enodes
0.078 * * [simplify]: iteration complete: 12 enodes
0.078 * * [simplify]: Extracting #0: cost 1 inf + 0
0.078 * * [simplify]: Extracting #1: cost 4 inf + 0
0.078 * * [simplify]: Extracting #2: cost 6 inf + 0
0.078 * * [simplify]: Extracting #3: cost 4 inf + 253
0.079 * * [simplify]: Extracting #4: cost 0 inf + 735
0.079 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.080 * * [progress]: iteration 1 / 4
0.080 * * * [progress]: picking best candidate
0.085 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.085 * * * [progress]: localizing error
0.105 * * * [progress]: generating rewritten candidates
0.105 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.115 * * * [progress]: generating series expansions
0.115 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.115 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.115 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.115 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.115 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.116 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.116 * [taylor]: Taking taylor expansion of (atan N) in N
0.116 * [backup-simplify]: Simplify (atan N) into (atan N)
0.116 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.116 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.116 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.116 * [taylor]: Taking taylor expansion of (atan N) in N
0.116 * [backup-simplify]: Simplify (atan N) into (atan N)
0.116 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.116 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.116 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.121 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.121 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.121 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.121 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.122 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.122 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.122 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.122 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.122 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.122 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.122 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.122 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.122 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.122 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.126 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.126 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.126 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.126 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.126 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.127 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.127 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.127 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.127 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.127 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.127 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.127 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.127 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.127 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.130 * * * [progress]: simplifying candidates
0.130 * * * * [progress]: [ 1 / 33 ] 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)))))))>
0.130 * * * * [progress]: [ 2 / 33 ] 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))))))>
0.130 * * * * [progress]: [ 3 / 33 ] 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))))>
0.130 * * * * [progress]: [ 4 / 33 ] 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)))))))>
0.130 * * * * [progress]: [ 5 / 33 ] 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))))))>
0.130 * * * * [progress]: [ 6 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.130 * * * * [progress]: [ 7 / 33 ] 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)))))))>
0.130 * * * * [progress]: [ 8 / 33 ] 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))))))>
0.131 * * * * [progress]: [ 9 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.131 * * * * [progress]: [ 10 / 33 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 11 / 33 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 12 / 33 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
0.131 * * * * [progress]: [ 13 / 33 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
0.131 * * * * [progress]: [ 14 / 33 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
0.131 * * * * [progress]: [ 15 / 33 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.131 * * * * [progress]: [ 16 / 33 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.131 * * * * [progress]: [ 17 / 33 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.131 * * * * [progress]: [ 18 / 33 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 19 / 33 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 20 / 33 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 21 / 33 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 22 / 33 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 23 / 33 ] 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))))))>
0.131 * * * * [progress]: [ 24 / 33 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.131 * * * * [progress]: [ 25 / 33 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.131 * * * * [progress]: [ 26 / 33 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.131 * * * * [progress]: [ 27 / 33 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.131 * * * * [progress]: [ 28 / 33 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.131 * * * * [progress]: [ 29 / 33 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.131 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.131 * * * * [progress]: [ 31 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.131 * * * * [progress]: [ 32 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.131 * * * * [progress]: [ 33 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.132 * [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)))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
0.132 * * [simplify]: iteration 0: 62 enodes
0.156 * * [simplify]: iteration 1: 136 enodes
0.193 * * [simplify]: iteration 2: 288 enodes
0.343 * * [simplify]: iteration 3: 777 enodes
0.830 * * [simplify]: iteration 4: 2213 enodes
1.954 * * [simplify]: iteration complete: 5002 enodes
1.954 * * [simplify]: Extracting #0: cost 20 inf + 0
1.956 * * [simplify]: Extracting #1: cost 325 inf + 2
1.963 * * [simplify]: Extracting #2: cost 960 inf + 400
1.973 * * [simplify]: Extracting #3: cost 1101 inf + 15789
2.002 * * [simplify]: Extracting #4: cost 847 inf + 128062
2.055 * * [simplify]: Extracting #5: cost 193 inf + 462444
2.144 * * [simplify]: Extracting #6: cost 8 inf + 567560
2.223 * * [simplify]: Extracting #7: cost 0 inf + 572108
2.299 * [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 (+ 1 N))) (* (atan 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)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
2.301 * * * [progress]: adding candidates to table
2.392 * * [progress]: iteration 2 / 4
2.392 * * * [progress]: picking best candidate
2.396 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (fma N (+ 1 N) 1)))>
2.397 * * * [progress]: localizing error
2.412 * * * [progress]: generating rewritten candidates
2.412 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.413 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.413 * * * [progress]: generating series expansions
2.413 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.413 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.413 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
2.413 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.413 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.413 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.413 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.413 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.414 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.414 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
2.414 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.414 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.414 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.414 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.414 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.415 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.415 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
2.415 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.415 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.415 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.415 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.415 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.415 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.415 * [backup-simplify]: Simplify (fma N (+ 1 N) 1) into (fma N (+ N 1) 1)
2.415 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0
2.415 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.415 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.415 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.415 * [taylor]: Taking taylor expansion of N in N
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.415 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.415 * [taylor]: Taking taylor expansion of N in N
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.415 * [taylor]: Taking taylor expansion of 1 in N
2.415 * [backup-simplify]: Simplify 1 into 1
2.416 * [taylor]: Taking taylor expansion of 1 in N
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.416 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.416 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.416 * [taylor]: Taking taylor expansion of N in N
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.416 * [taylor]: Taking taylor expansion of N in N
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [taylor]: Taking taylor expansion of 1 in N
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [taylor]: Taking taylor expansion of 1 in N
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [backup-simplify]: Simplify (+ 0 1) into 1
2.416 * [backup-simplify]: Simplify (* 0 1) into 0
2.417 * [backup-simplify]: Simplify (+ 0 1) into 1
2.417 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (+ 1 0) into 1
2.417 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.418 * [backup-simplify]: Simplify (+ 1 0) into 1
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (+ 0 0) into 0
2.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.419 * [backup-simplify]: Simplify (+ 1 0) into 1
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.419 * [backup-simplify]: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1)
2.419 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0
2.419 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.419 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.419 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.419 * [taylor]: Taking taylor expansion of N in N
2.419 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (/ 1 1) into 1
2.419 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.419 * [taylor]: Taking taylor expansion of N in N
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (/ 1 1) into 1
2.420 * [taylor]: Taking taylor expansion of 1 in N
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of 1 in N
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.420 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.420 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.420 * [taylor]: Taking taylor expansion of N in N
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (/ 1 1) into 1
2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.420 * [taylor]: Taking taylor expansion of N in N
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (/ 1 1) into 1
2.421 * [taylor]: Taking taylor expansion of 1 in N
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [taylor]: Taking taylor expansion of 1 in N
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (+ 1 0) into 1
2.421 * [backup-simplify]: Simplify (* 1 1) into 1
2.421 * [backup-simplify]: Simplify (+ 1 0) into 1
2.421 * [backup-simplify]: Simplify 1 into 1
2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (+ 0 1) into 1
2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.423 * [backup-simplify]: Simplify (+ 1 0) into 1
2.423 * [backup-simplify]: Simplify 1 into 1
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ 0 0) into 0
2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.426 * [backup-simplify]: Simplify (+ 0 1) into 1
2.426 * [backup-simplify]: Simplify 1 into 1
2.426 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.426 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
2.426 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0
2.426 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.426 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.426 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.426 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.426 * [taylor]: Taking taylor expansion of -1 in N
2.426 * [backup-simplify]: Simplify -1 into -1
2.426 * [taylor]: Taking taylor expansion of N in N
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 1 into 1
2.427 * [backup-simplify]: Simplify (/ -1 1) into -1
2.427 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.427 * [taylor]: Taking taylor expansion of 1 in N
2.427 * [backup-simplify]: Simplify 1 into 1
2.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.427 * [taylor]: Taking taylor expansion of N in N
2.427 * [backup-simplify]: Simplify 0 into 0
2.427 * [backup-simplify]: Simplify 1 into 1
2.427 * [backup-simplify]: Simplify (/ 1 1) into 1
2.427 * [taylor]: Taking taylor expansion of 1 in N
2.427 * [backup-simplify]: Simplify 1 into 1
2.427 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.427 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.427 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.427 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.427 * [taylor]: Taking taylor expansion of -1 in N
2.427 * [backup-simplify]: Simplify -1 into -1
2.427 * [taylor]: Taking taylor expansion of N in N
2.427 * [backup-simplify]: Simplify 0 into 0
2.427 * [backup-simplify]: Simplify 1 into 1
2.427 * [backup-simplify]: Simplify (/ -1 1) into -1
2.427 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.427 * [taylor]: Taking taylor expansion of 1 in N
2.427 * [backup-simplify]: Simplify 1 into 1
2.428 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.428 * [taylor]: Taking taylor expansion of N in N
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (/ 1 1) into 1
2.428 * [taylor]: Taking taylor expansion of 1 in N
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (- 1) into -1
2.428 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.429 * [backup-simplify]: Simplify (* -1 -1) into 1
2.429 * [backup-simplify]: Simplify (+ 1 0) into 1
2.429 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.430 * [backup-simplify]: Simplify (- 0) into 0
2.430 * [backup-simplify]: Simplify (+ 1 0) into 1
2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.431 * [backup-simplify]: Simplify (+ -1 0) into -1
2.431 * [backup-simplify]: Simplify -1 into -1
2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.432 * [backup-simplify]: Simplify (- 0) into 0
2.432 * [backup-simplify]: Simplify (+ 0 0) into 0
2.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.434 * [backup-simplify]: Simplify (+ 0 1) into 1
2.434 * [backup-simplify]: Simplify 1 into 1
2.434 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.434 * * * [progress]: simplifying candidates
2.434 * * * * [progress]: [ 1 / 27 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 2 / 27 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 3 / 27 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma N (+ 1 N) 1)) 1))>
2.434 * * * * [progress]: [ 4 / 27 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 5 / 27 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [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)))))>
2.434 * * * * [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)))))>
2.434 * * * * [progress]: [ 8 / 27 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 9 / 27 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma N (+ 1 N) 1))))>
2.434 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 11 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 12 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 13 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N (+ 1 N)) 1)))>
2.434 * * * * [progress]: [ 14 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (fma N (+ 1 N) 1) 1)))>
2.434 * * * * [progress]: [ 15 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (fma N (+ 1 N) 1)))))>
2.434 * * * * [progress]: [ 16 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (fma N (+ 1 N) 1)))))>
2.435 * * * * [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)))))>
2.435 * * * * [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)))))>
2.435 * * * * [progress]: [ 19 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)))))>
2.435 * * * * [progress]: [ 20 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (fma N (+ 1 N) 1))))>
2.435 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (fma N (+ 1 N) 1)))))>
2.435 * * * * [progress]: [ 22 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.435 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.435 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.435 * * * * [progress]: [ 25 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.435 * * * * [progress]: [ 26 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.435 * * * * [progress]: [ 27 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.435 * [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))
2.435 * * [simplify]: iteration 0: 33 enodes
2.442 * * [simplify]: iteration 1: 53 enodes
2.455 * * [simplify]: iteration 2: 89 enodes
2.477 * * [simplify]: iteration 3: 278 enodes
2.690 * * [simplify]: iteration 4: 1226 enodes
3.437 * * [simplify]: iteration complete: 5001 enodes
3.437 * * [simplify]: Extracting #0: cost 21 inf + 0
3.437 * * [simplify]: Extracting #1: cost 164 inf + 0
3.441 * * [simplify]: Extracting #2: cost 820 inf + 5769
3.460 * * [simplify]: Extracting #3: cost 862 inf + 96712
3.513 * * [simplify]: Extracting #4: cost 292 inf + 240211
3.579 * * [simplify]: Extracting #5: cost 2 inf + 293498
3.647 * * [simplify]: Extracting #6: cost 0 inf + 294146
3.716 * [simplify]: Simplified to:
  (expm1 (atan2 1 (fma (+ 1 N) N 1)))
  (log1p (atan2 1 (fma (+ 1 N) N 1)))
  (log (atan2 1 (fma (+ 1 N) N 1)))
  (exp (atan2 1 (fma (+ 1 N) N 1)))
  (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))
  (cbrt (atan2 1 (fma (+ 1 N) N 1)))
  (* (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (real->posit16 (atan2 1 (fma (+ 1 N) N 1)))
  (expm1 (fma (+ 1 N) N 1))
  (log1p (fma (+ 1 N) N 1))
  (fma N N N)
  (log1p (fma N N N))
  (* (exp (fma N N N)) E)
  (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))
  (cbrt (fma (+ 1 N) N 1))
  (* (fma (+ 1 N) N 1) (* (fma (+ 1 N) N 1) (fma (+ 1 N) N 1)))
  (sqrt (fma (+ 1 N) N 1))
  (sqrt (fma (+ 1 N) N 1))
  (real->posit16 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (fma (+ 1 N) N 1)
  (fma (+ 1 N) N 1)
  (fma (+ 1 N) N 1)
3.717 * * * [progress]: adding candidates to table
3.798 * * [progress]: iteration 3 / 4
3.798 * * * [progress]: picking best candidate
3.810 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
3.811 * * * [progress]: localizing error
3.820 * * * [progress]: generating rewritten candidates
3.820 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
3.821 * * * [progress]: generating series expansions
3.821 * * * * [progress]: [ 1 / 1 ] generating series at (2)
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
3.821 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
3.821 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
3.821 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
3.821 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
3.821 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
3.821 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
3.822 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
3.822 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
3.822 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
3.822 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
3.822 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
3.822 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
3.823 * * * [progress]: simplifying candidates
3.823 * * * * [progress]: [ 1 / 13 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 2 / 13 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 3 / 13 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ (fma N N N) 1)) 1))>
3.823 * * * * [progress]: [ 4 / 13 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 5 / 13 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 6 / 13 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 7 / 13 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 8 / 13 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 9 / 13 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ (fma N N N) 1))))>
3.823 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ (fma N N N) 1)))))>
3.823 * * * * [progress]: [ 11 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
3.823 * * * * [progress]: [ 12 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
3.823 * * * * [progress]: [ 13 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
3.823 * [simplify]: Simplifying:
  (expm1 (atan2 1 (+ (fma N N N) 1)))
  (log1p (atan2 1 (+ (fma N N N) 1)))
  (log (atan2 1 (+ (fma N N N) 1)))
  (exp (atan2 1 (+ (fma N N N) 1)))
  (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1))))
  (cbrt (atan2 1 (+ (fma N N N) 1)))
  (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)))
  (sqrt (atan2 1 (+ (fma N N N) 1)))
  (sqrt (atan2 1 (+ (fma N N N) 1)))
  (real->posit16 (atan2 1 (+ (fma N N N) 1)))
  (atan2 1 (+ (fma N N N) 1))
  (atan2 1 (+ (fma N N N) 1))
  (atan2 1 (+ (fma N N N) 1))
3.824 * * [simplify]: iteration 0: 15 enodes
3.826 * * [simplify]: iteration 1: 21 enodes
3.829 * * [simplify]: iteration 2: 29 enodes
3.834 * * [simplify]: iteration 3: 41 enodes
3.842 * * [simplify]: iteration 4: 57 enodes
3.855 * * [simplify]: iteration 5: 84 enodes
3.867 * * [simplify]: iteration 6: 164 enodes
3.901 * * [simplify]: iteration 7: 275 enodes
3.950 * * [simplify]: iteration 8: 521 enodes
4.176 * * [simplify]: iteration 9: 1275 enodes
5.427 * * [simplify]: iteration complete: 5001 enodes
5.428 * * [simplify]: Extracting #0: cost 10 inf + 0
5.428 * * [simplify]: Extracting #1: cost 201 inf + 0
5.431 * * [simplify]: Extracting #2: cost 1202 inf + 3
5.437 * * [simplify]: Extracting #3: cost 1239 inf + 626
5.443 * * [simplify]: Extracting #4: cost 1222 inf + 3163
5.459 * * [simplify]: Extracting #5: cost 1029 inf + 130593
5.532 * * [simplify]: Extracting #6: cost 356 inf + 850081
5.659 * * [simplify]: Extracting #7: cost 0 inf + 1276082
5.794 * * [simplify]: Extracting #8: cost 0 inf + 1272320
5.925 * * [simplify]: Extracting #9: cost 0 inf + 1272109
6.060 * [simplify]: Simplified to:
  (expm1 (atan2 1 (fma (+ 1 N) N 1)))
  (log1p (atan2 1 (fma (+ 1 N) N 1)))
  (log (atan2 1 (fma (+ 1 N) N 1)))
  (exp (atan2 1 (fma (+ 1 N) N 1)))
  (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))
  (cbrt (atan2 1 (fma (+ 1 N) N 1)))
  (* (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (sqrt (atan2 1 (fma (+ 1 N) N 1)))
  (real->posit16 (atan2 1 (fma (+ 1 N) N 1)))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
  (atan2 1 (fma (+ 1 N) N 1))
6.061 * * * [progress]: adding candidates to table
6.098 * * [progress]: iteration 4 / 4
6.098 * * * [progress]: picking best candidate
6.107 * * * * [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)))))>
6.107 * * * [progress]: localizing error
6.128 * * * [progress]: generating rewritten candidates
6.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
6.129 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.130 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
6.130 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
6.131 * * * [progress]: generating series expansions
6.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
6.131 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.131 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.131 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.131 * [taylor]: Taking taylor expansion of 1/3 in N
6.131 * [backup-simplify]: Simplify 1/3 into 1/3
6.131 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.131 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.133 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.133 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.133 * [taylor]: Taking taylor expansion of N in N
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.133 * [taylor]: Taking taylor expansion of N in N
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [taylor]: Taking taylor expansion of 1 in N
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [taylor]: Taking taylor expansion of 1 in N
6.133 * [backup-simplify]: Simplify 1 into 1
6.134 * [backup-simplify]: Simplify (+ 0 1) into 1
6.134 * [backup-simplify]: Simplify (* 0 1) into 0
6.134 * [backup-simplify]: Simplify (+ 0 1) into 1
6.135 * [backup-simplify]: Simplify (log 1) into 0
6.135 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.136 * [backup-simplify]: Simplify (+ 1 0) into 1
6.136 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.137 * [backup-simplify]: Simplify (+ 1 0) into 1
6.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.138 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.138 * [backup-simplify]: Simplify (exp 0) into 1
6.138 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.138 * [taylor]: Taking taylor expansion of 1/3 in N
6.138 * [backup-simplify]: Simplify 1/3 into 1/3
6.138 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.138 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.138 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.138 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.138 * [taylor]: Taking taylor expansion of N in N
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.138 * [taylor]: Taking taylor expansion of N in N
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [taylor]: Taking taylor expansion of 1 in N
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [taylor]: Taking taylor expansion of 1 in N
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [backup-simplify]: Simplify (+ 0 1) into 1
6.139 * [backup-simplify]: Simplify (* 0 1) into 0
6.139 * [backup-simplify]: Simplify (+ 0 1) into 1
6.139 * [backup-simplify]: Simplify (log 1) into 0
6.140 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.140 * [backup-simplify]: Simplify (+ 1 0) into 1
6.140 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.140 * [backup-simplify]: Simplify (+ 1 0) into 1
6.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.146 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.146 * [backup-simplify]: Simplify (exp 0) into 1
6.146 * [backup-simplify]: Simplify 1 into 1
6.147 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.147 * [backup-simplify]: Simplify 1/3 into 1/3
6.148 * [backup-simplify]: Simplify (+ 0 0) into 0
6.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.149 * [backup-simplify]: Simplify (+ 1 0) into 1
6.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.151 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.152 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.152 * [backup-simplify]: Simplify 2/9 into 2/9
6.152 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.152 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.152 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.152 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.152 * [taylor]: Taking taylor expansion of 1/3 in N
6.152 * [backup-simplify]: Simplify 1/3 into 1/3
6.152 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.152 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.152 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.152 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.152 * [taylor]: Taking taylor expansion of N in N
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (/ 1 1) into 1
6.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.153 * [taylor]: Taking taylor expansion of N in N
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (/ 1 1) into 1
6.153 * [taylor]: Taking taylor expansion of 1 in N
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [taylor]: Taking taylor expansion of 1 in N
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (+ 1 0) into 1
6.154 * [backup-simplify]: Simplify (* 1 1) into 1
6.154 * [backup-simplify]: Simplify (+ 1 0) into 1
6.154 * [backup-simplify]: Simplify (log 1) into 0
6.154 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.155 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.155 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.155 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.155 * [taylor]: Taking taylor expansion of 1/3 in N
6.155 * [backup-simplify]: Simplify 1/3 into 1/3
6.155 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.155 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.155 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.155 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.155 * [taylor]: Taking taylor expansion of N in N
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 1 into 1
6.155 * [backup-simplify]: Simplify (/ 1 1) into 1
6.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.155 * [taylor]: Taking taylor expansion of N in N
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 1 into 1
6.155 * [backup-simplify]: Simplify (/ 1 1) into 1
6.155 * [taylor]: Taking taylor expansion of 1 in N
6.155 * [backup-simplify]: Simplify 1 into 1
6.155 * [taylor]: Taking taylor expansion of 1 in N
6.156 * [backup-simplify]: Simplify 1 into 1
6.156 * [backup-simplify]: Simplify (+ 1 0) into 1
6.156 * [backup-simplify]: Simplify (* 1 1) into 1
6.156 * [backup-simplify]: Simplify (+ 1 0) into 1
6.157 * [backup-simplify]: Simplify (log 1) into 0
6.157 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.157 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.157 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.157 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.158 * [backup-simplify]: Simplify (+ 0 1) into 1
6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.159 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.159 * [backup-simplify]: Simplify (+ 1 0) into 1
6.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.160 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.160 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.161 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.161 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.162 * [backup-simplify]: Simplify (+ 0 0) into 0
6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.163 * [backup-simplify]: Simplify (+ 0 1) into 1
6.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.165 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.165 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.166 * [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))
6.166 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.167 * [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))))
6.167 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.167 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.167 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 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 (/ 1 N)) 1)) in N
6.167 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.167 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.167 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.167 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.167 * [taylor]: Taking taylor expansion of -1 in N
6.167 * [backup-simplify]: Simplify -1 into -1
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 (/ 1 N)) in N
6.167 * [taylor]: Taking taylor expansion of 1 in N
6.167 * [backup-simplify]: Simplify 1 into 1
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
6.168 * [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 * [backup-simplify]: Simplify (- 1) into -1
6.168 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.169 * [backup-simplify]: Simplify (* -1 -1) into 1
6.169 * [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))
6.170 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.170 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.170 * [taylor]: Taking taylor expansion of 1/3 in N
6.170 * [backup-simplify]: Simplify 1/3 into 1/3
6.170 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.170 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.170 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.170 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.170 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.170 * [taylor]: Taking taylor expansion of -1 in N
6.170 * [backup-simplify]: Simplify -1 into -1
6.170 * [taylor]: Taking taylor expansion of N in N
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [backup-simplify]: Simplify (/ -1 1) into -1
6.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.170 * [taylor]: Taking taylor expansion of 1 in N
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.170 * [taylor]: Taking taylor expansion of N in N
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [backup-simplify]: Simplify (/ 1 1) into 1
6.170 * [taylor]: Taking taylor expansion of 1 in N
6.171 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (- 1) into -1
6.171 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.171 * [backup-simplify]: Simplify (* -1 -1) into 1
6.172 * [backup-simplify]: Simplify (+ 1 0) into 1
6.172 * [backup-simplify]: Simplify (log 1) into 0
6.172 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.172 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.172 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.172 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.173 * [backup-simplify]: Simplify (- 0) into 0
6.173 * [backup-simplify]: Simplify (+ 1 0) into 1
6.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.174 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.175 * [backup-simplify]: Simplify (+ -1 0) into -1
6.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.176 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.176 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.177 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.177 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (- 0) into 0
6.178 * [backup-simplify]: Simplify (+ 0 0) into 0
6.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.179 * [backup-simplify]: Simplify (+ 0 1) into 1
6.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.181 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.181 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.182 * [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))
6.183 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.183 * [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))))
6.183 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.183 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.183 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.183 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 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 N (+ N 1) 1)) in N
6.183 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.183 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.183 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.183 * [taylor]: Taking taylor expansion of N in N
6.183 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify 1 into 1
6.183 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.183 * [taylor]: Taking taylor expansion of N in N
6.183 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify 1 into 1
6.183 * [taylor]: Taking taylor expansion of 1 in N
6.183 * [backup-simplify]: Simplify 1 into 1
6.183 * [taylor]: Taking taylor expansion of 1 in N
6.183 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (+ 0 1) into 1
6.184 * [backup-simplify]: Simplify (* 0 1) into 0
6.184 * [backup-simplify]: Simplify (+ 0 1) into 1
6.184 * [backup-simplify]: Simplify (log 1) into 0
6.185 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.185 * [backup-simplify]: Simplify (+ 1 0) into 1
6.185 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.186 * [backup-simplify]: Simplify (+ 1 0) into 1
6.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.187 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.187 * [backup-simplify]: Simplify (exp 0) into 1
6.187 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.187 * [taylor]: Taking taylor expansion of 1/3 in N
6.187 * [backup-simplify]: Simplify 1/3 into 1/3
6.187 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.187 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.187 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.187 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.187 * [taylor]: Taking taylor expansion of N in N
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.187 * [taylor]: Taking taylor expansion of N in N
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [taylor]: Taking taylor expansion of 1 in N
6.187 * [backup-simplify]: Simplify 1 into 1
6.188 * [taylor]: Taking taylor expansion of 1 in N
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [backup-simplify]: Simplify (+ 0 1) into 1
6.188 * [backup-simplify]: Simplify (* 0 1) into 0
6.188 * [backup-simplify]: Simplify (+ 0 1) into 1
6.189 * [backup-simplify]: Simplify (log 1) into 0
6.189 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.189 * [backup-simplify]: Simplify (+ 1 0) into 1
6.190 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.190 * [backup-simplify]: Simplify (+ 1 0) into 1
6.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.191 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.191 * [backup-simplify]: Simplify (exp 0) into 1
6.191 * [backup-simplify]: Simplify 1 into 1
6.192 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.192 * [backup-simplify]: Simplify 1/3 into 1/3
6.192 * [backup-simplify]: Simplify (+ 0 0) into 0
6.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.193 * [backup-simplify]: Simplify (+ 1 0) 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 (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.196 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.196 * [backup-simplify]: Simplify 2/9 into 2/9
6.196 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.196 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.196 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.196 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.196 * [taylor]: Taking taylor expansion of 1/3 in N
6.196 * [backup-simplify]: Simplify 1/3 into 1/3
6.196 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.196 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.196 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.196 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.196 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1
6.197 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.197 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 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 (+ 1 0) into 1
6.198 * [backup-simplify]: Simplify (* 1 1) into 1
6.198 * [backup-simplify]: Simplify (+ 1 0) into 1
6.198 * [backup-simplify]: Simplify (log 1) into 0
6.199 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.199 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.199 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.199 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.199 * [taylor]: Taking taylor expansion of 1/3 in N
6.199 * [backup-simplify]: Simplify 1/3 into 1/3
6.199 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.199 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.199 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.199 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.199 * [taylor]: Taking taylor expansion of N in N
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify 1 into 1
6.199 * [backup-simplify]: Simplify (/ 1 1) into 1
6.199 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.199 * [taylor]: Taking taylor expansion of N in N
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify 1 into 1
6.199 * [backup-simplify]: Simplify (/ 1 1) into 1
6.200 * [taylor]: Taking taylor expansion of 1 in N
6.200 * [backup-simplify]: Simplify 1 into 1
6.200 * [taylor]: Taking taylor expansion of 1 in N
6.200 * [backup-simplify]: Simplify 1 into 1
6.200 * [backup-simplify]: Simplify (+ 1 0) into 1
6.200 * [backup-simplify]: Simplify (* 1 1) into 1
6.200 * [backup-simplify]: Simplify (+ 1 0) into 1
6.201 * [backup-simplify]: Simplify (log 1) into 0
6.201 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.201 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.201 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.201 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.202 * [backup-simplify]: Simplify (+ 0 1) into 1
6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.203 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.203 * [backup-simplify]: Simplify (+ 1 0) into 1
6.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.204 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.204 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.205 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.205 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.206 * [backup-simplify]: Simplify (+ 0 0) into 0
6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.207 * [backup-simplify]: Simplify (+ 0 1) into 1
6.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.209 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.210 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.211 * [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))
6.211 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.211 * [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))))
6.211 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.211 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.211 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.211 * [taylor]: Taking taylor expansion of 1/3 in N
6.211 * [backup-simplify]: Simplify 1/3 into 1/3
6.211 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.211 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.211 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.211 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.211 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.211 * [taylor]: Taking taylor expansion of -1 in N
6.211 * [backup-simplify]: Simplify -1 into -1
6.211 * [taylor]: Taking taylor expansion of N in N
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (/ -1 1) into -1
6.212 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
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 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 * [backup-simplify]: Simplify (- 1) into -1
6.213 * [backup-simplify]: Simplify (+ 0 -1) 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 (log 1) into 0
6.214 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.214 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.214 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.214 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 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 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.214 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.214 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.214 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.214 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.214 * [taylor]: Taking taylor expansion of -1 in N
6.214 * [backup-simplify]: Simplify -1 into -1
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 (/ 1 N)) in N
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 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 * [backup-simplify]: Simplify (- 1) into -1
6.215 * [backup-simplify]: Simplify (+ 0 -1) 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 (log 1) into 0
6.216 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.217 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.217 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.217 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.217 * [backup-simplify]: Simplify (- 0) into 0
6.218 * [backup-simplify]: Simplify (+ 1 0) into 1
6.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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
6.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.220 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.220 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.221 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.221 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify (- 0) into 0
6.222 * [backup-simplify]: Simplify (+ 0 0) into 0
6.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.224 * [backup-simplify]: Simplify (+ 0 1) into 1
6.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.225 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.226 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.227 * [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))
6.227 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.227 * [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))))
6.227 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
6.228 * [backup-simplify]: Simplify (cbrt (fma N (+ 1 N) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.228 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.228 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) 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 (fma N (+ N 1) 1)) in N
6.228 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.228 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.228 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
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
6.228 * [taylor]: Taking taylor expansion of (+ N 1) in N
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
6.228 * [taylor]: Taking taylor expansion of 1 in N
6.228 * [backup-simplify]: Simplify 1 into 1
6.228 * [taylor]: Taking taylor expansion of 1 in N
6.228 * [backup-simplify]: Simplify 1 into 1
6.228 * [backup-simplify]: Simplify (+ 0 1) into 1
6.229 * [backup-simplify]: Simplify (* 0 1) into 0
6.229 * [backup-simplify]: Simplify (+ 0 1) into 1
6.229 * [backup-simplify]: Simplify (log 1) into 0
6.229 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.230 * [backup-simplify]: Simplify (+ 1 0) into 1
6.230 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.230 * [backup-simplify]: Simplify (+ 1 0) into 1
6.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.231 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.231 * [backup-simplify]: Simplify (exp 0) into 1
6.231 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.232 * [taylor]: Taking taylor expansion of 1/3 in N
6.232 * [backup-simplify]: Simplify 1/3 into 1/3
6.232 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.232 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.232 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.232 * [taylor]: Taking taylor expansion of (* N (+ N 1)) 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
6.232 * [taylor]: Taking taylor expansion of (+ N 1) 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
6.232 * [taylor]: Taking taylor expansion of 1 in N
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [taylor]: Taking taylor expansion of 1 in N
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (+ 0 1) into 1
6.232 * [backup-simplify]: Simplify (* 0 1) into 0
6.235 * [backup-simplify]: Simplify (+ 0 1) into 1
6.235 * [backup-simplify]: Simplify (log 1) into 0
6.235 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.236 * [backup-simplify]: Simplify (+ 1 0) into 1
6.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.236 * [backup-simplify]: Simplify (+ 1 0) into 1
6.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.238 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.238 * [backup-simplify]: Simplify (exp 0) into 1
6.238 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.239 * [backup-simplify]: Simplify 1/3 into 1/3
6.239 * [backup-simplify]: Simplify (+ 0 0) into 0
6.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.240 * [backup-simplify]: Simplify (+ 1 0) into 1
6.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.242 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.243 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.243 * [backup-simplify]: Simplify 2/9 into 2/9
6.243 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.243 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.243 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.243 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.243 * [taylor]: Taking taylor expansion of 1/3 in N
6.243 * [backup-simplify]: Simplify 1/3 into 1/3
6.243 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.243 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.243 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.243 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.243 * [taylor]: Taking taylor expansion of N in N
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (/ 1 1) into 1
6.244 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.244 * [taylor]: Taking taylor expansion of N in N
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (/ 1 1) into 1
6.244 * [taylor]: Taking taylor expansion of 1 in N
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [taylor]: Taking taylor expansion of 1 in N
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (+ 1 0) into 1
6.245 * [backup-simplify]: Simplify (* 1 1) into 1
6.245 * [backup-simplify]: Simplify (+ 1 0) into 1
6.245 * [backup-simplify]: Simplify (log 1) into 0
6.246 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.246 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.246 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.246 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.246 * [taylor]: Taking taylor expansion of 1/3 in N
6.246 * [backup-simplify]: Simplify 1/3 into 1/3
6.246 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.246 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.246 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.246 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.246 * [taylor]: Taking taylor expansion of N in N
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (/ 1 1) into 1
6.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.246 * [taylor]: Taking taylor expansion of N in N
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (/ 1 1) into 1
6.246 * [taylor]: Taking taylor expansion of 1 in N
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [taylor]: Taking taylor expansion of 1 in N
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (+ 1 0) into 1
6.247 * [backup-simplify]: Simplify (* 1 1) into 1
6.247 * [backup-simplify]: Simplify (+ 1 0) into 1
6.248 * [backup-simplify]: Simplify (log 1) into 0
6.248 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.248 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.248 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.248 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.249 * [backup-simplify]: Simplify (+ 0 1) into 1
6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.250 * [backup-simplify]: Simplify (+ 1 0) into 1
6.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.251 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.251 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.252 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.252 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (+ 0 0) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.254 * [backup-simplify]: Simplify (+ 0 1) into 1
6.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.256 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.256 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.257 * [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))
6.257 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.258 * [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))))
6.258 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.258 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.258 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.258 * [taylor]: Taking taylor expansion of 1/3 in N
6.258 * [backup-simplify]: Simplify 1/3 into 1/3
6.258 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.258 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.258 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.258 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.258 * [taylor]: Taking taylor expansion of -1 in N
6.258 * [backup-simplify]: Simplify -1 into -1
6.258 * [taylor]: Taking taylor expansion of N in N
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 1 into 1
6.258 * [backup-simplify]: Simplify (/ -1 1) into -1
6.258 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.258 * [taylor]: Taking taylor expansion of 1 in N
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.259 * [taylor]: Taking taylor expansion of N in N
6.259 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (/ 1 1) into 1
6.259 * [taylor]: Taking taylor expansion of 1 in N
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (- 1) into -1
6.259 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.260 * [backup-simplify]: Simplify (* -1 -1) into 1
6.260 * [backup-simplify]: Simplify (+ 1 0) into 1
6.260 * [backup-simplify]: Simplify (log 1) into 0
6.260 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.260 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.261 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.261 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.261 * [taylor]: Taking taylor expansion of 1/3 in N
6.261 * [backup-simplify]: Simplify 1/3 into 1/3
6.261 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.261 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.261 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.261 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.261 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.261 * [taylor]: Taking taylor expansion of -1 in N
6.261 * [backup-simplify]: Simplify -1 into -1
6.261 * [taylor]: Taking taylor expansion of N in N
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (/ -1 1) into -1
6.261 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.261 * [taylor]: Taking taylor expansion of 1 in N
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.261 * [taylor]: Taking taylor expansion of N in N
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (/ 1 1) into 1
6.262 * [taylor]: Taking taylor expansion of 1 in N
6.262 * [backup-simplify]: Simplify 1 into 1
6.262 * [backup-simplify]: Simplify (- 1) into -1
6.262 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.262 * [backup-simplify]: Simplify (* -1 -1) into 1
6.263 * [backup-simplify]: Simplify (+ 1 0) into 1
6.263 * [backup-simplify]: Simplify (log 1) into 0
6.263 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.263 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.263 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.263 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (- 0) into 0
6.264 * [backup-simplify]: Simplify (+ 1 0) into 1
6.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.265 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.266 * [backup-simplify]: Simplify (+ -1 0) into -1
6.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.267 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.267 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.268 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.268 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.268 * [backup-simplify]: Simplify (- 0) into 0
6.269 * [backup-simplify]: Simplify (+ 0 0) into 0
6.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.270 * [backup-simplify]: Simplify (+ 0 1) into 1
6.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.272 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.273 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.273 * [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))
6.274 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.274 * [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))))
6.274 * * * * [progress]: [ 4 / 4 ] generating series at (2)
6.274 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ N 1) 1))
6.274 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
6.274 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
6.274 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.274 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
6.274 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.275 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.275 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (cbrt (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.275 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
6.275 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.275 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.275 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.275 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.275 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.276 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) (cbrt (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.276 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
6.276 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.276 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.276 * * * [progress]: simplifying candidates
6.276 * * * * [progress]: [ 1 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 2 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 3 / 64 ] 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))))>
6.277 * * * * [progress]: [ 4 / 64 ] 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))))>
6.277 * * * * [progress]: [ 5 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 6 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 7 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 8 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 9 / 64 ] 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))))))>
6.277 * * * * [progress]: [ 10 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 11 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 12 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 13 / 64 ] 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))))))>
6.277 * * * * [progress]: [ 14 / 64 ] 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)))))))>
6.277 * * * * [progress]: [ 15 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 16 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 17 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 18 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 19 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 20 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 21 / 64 ] 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)))))>
6.277 * * * * [progress]: [ 22 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 23 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 24 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 25 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 26 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 27 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 28 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 29 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 30 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 31 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 32 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 33 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 34 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 35 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 36 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 37 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 38 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 39 / 64 ] 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)))))>
6.278 * * * * [progress]: [ 40 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 41 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 42 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) 1))>
6.279 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))))>
6.279 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))))>
6.279 * * * * [progress]: [ 53 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 54 / 64 ] 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)))))))>
6.279 * * * * [progress]: [ 55 / 64 ] 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)))))))>
6.279 * * * * [progress]: [ 56 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 57 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 58 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 59 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 60 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 61 / 64 ] 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)))))>
6.279 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
6.279 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
6.279 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
6.280 * [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 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (log1p (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (log (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (exp (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))))
  (cbrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (* (* (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1))))) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (sqrt (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)))))
  (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (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))))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
6.281 * * [simplify]: iteration 0: 58 enodes
6.293 * * [simplify]: iteration 1: 107 enodes
6.318 * * [simplify]: iteration 2: 203 enodes
6.373 * * [simplify]: iteration 3: 498 enodes
6.510 * * [simplify]: iteration 4: 1140 enodes
6.867 * * [simplify]: iteration 5: 2807 enodes
7.438 * * [simplify]: iteration complete: 5000 enodes
7.438 * * [simplify]: Extracting #0: cost 26 inf + 0
7.440 * * [simplify]: Extracting #1: cost 216 inf + 1
7.443 * * [simplify]: Extracting #2: cost 617 inf + 4930
7.450 * * [simplify]: Extracting #3: cost 741 inf + 17039
7.467 * * [simplify]: Extracting #4: cost 652 inf + 65981
7.492 * * [simplify]: Extracting #5: cost 263 inf + 195684
7.533 * * [simplify]: Extracting #6: cost 32 inf + 321927
7.583 * * [simplify]: Extracting #7: cost 0 inf + 343690
7.629 * * [simplify]: Extracting #8: cost 0 inf + 343559
7.676 * [simplify]: Simplified to:
  (expm1 (cbrt (fma N (+ N 1) 1)))
  (log1p (cbrt (fma N (+ N 1) 1)))
  (log (cbrt (fma N (+ N 1) 1)))
  (exp (cbrt (fma N (+ N 1) 1)))
  (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  1
  (cbrt (fma N (+ N 1) 1))
  (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (fma N (+ N 1) 1)
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (real->posit16 (cbrt (fma N (+ N 1) 1)))
  (expm1 (cbrt (fma N (+ N 1) 1)))
  (log1p (cbrt (fma N (+ N 1) 1)))
  (log (cbrt (fma N (+ N 1) 1)))
  (exp (cbrt (fma N (+ N 1) 1)))
  (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  1
  (cbrt (fma N (+ N 1) 1))
  (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (fma N (+ N 1) 1)
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (real->posit16 (cbrt (fma N (+ N 1) 1)))
  (expm1 (cbrt (fma N (+ N 1) 1)))
  (log1p (cbrt (fma N (+ N 1) 1)))
  (log (cbrt (fma N (+ N 1) 1)))
  (exp (cbrt (fma N (+ N 1) 1)))
  (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  (cbrt (sqrt (fma N (+ N 1) 1)))
  1
  (cbrt (fma N (+ N 1) 1))
  (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
  (cbrt (cbrt (fma N (+ N 1) 1)))
  (fma N (+ N 1) 1)
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (sqrt (cbrt (fma N (+ N 1) 1)))
  (real->posit16 (cbrt (fma N (+ N 1) 1)))
  (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)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
  (fma N (fma 2/9 N 1/3) 1)
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (* (* N N) (* N N)))) 2/9 (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
7.680 * * * [progress]: adding candidates to table
7.936 * [progress]: [Phase 3 of 3] Extracting.
7.936 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> #<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)))))> #<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)))))))> #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N 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 (* (* (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)))))>)
7.937 * * * [regime-changes]: Trying 1 branch expressions: (N)
7.937 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> #<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)))))> #<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)))))))> #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N 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 (* (* (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)))))>)
7.969 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
7.969 * [simplify]: Simplifying:
  (atan2 1 (+ (fma N N N) 1))
7.969 * * [simplify]: iteration 0: 5 enodes
7.969 * * [simplify]: iteration 1: 8 enodes
7.969 * * [simplify]: iteration complete: 8 enodes
7.970 * * [simplify]: Extracting #0: cost 1 inf + 0
7.970 * * [simplify]: Extracting #1: cost 3 inf + 0
7.970 * * [simplify]: Extracting #2: cost 3 inf + 1
7.970 * * [simplify]: Extracting #3: cost 4 inf + 1
7.970 * * [simplify]: Extracting #4: cost 0 inf + 392
7.970 * [simplify]: Simplified to:
  (atan2 1 (+ 1 (fma N N N)))
9.962 * [regime-testing]: Baseline error score: 0.41813445411608813
9.964 * [regime-testing]: Oracle error score: 0.38212995355351786
9.969 * [regime-testing]: End program error score: 0.41813445411608813
10.010 * [regime-testing]: Target error score: 0.42088479790906225