22.430 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.054 * * * [progress]: [2/2] Setting up program.
0.058 * [progress]: [Phase 2 of 3] Improving.
0.058 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.058 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.058 * * [simplify]: iteration 0: 6 enodes
0.060 * * [simplify]: iteration 1: 11 enodes
0.062 * * [simplify]: iteration 2: 12 enodes
0.064 * * [simplify]: iteration complete: 12 enodes
0.064 * * [simplify]: Extracting #0: cost 1 inf + 0
0.064 * * [simplify]: Extracting #1: cost 4 inf + 0
0.064 * * [simplify]: Extracting #2: cost 6 inf + 0
0.064 * * [simplify]: Extracting #3: cost 4 inf + 253
0.064 * * [simplify]: Extracting #4: cost 0 inf + 735
0.064 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.065 * * [progress]: iteration 1 / 4
0.065 * * * [progress]: picking best candidate
0.069 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.069 * * * [progress]: localizing error
0.087 * * * [progress]: generating rewritten candidates
0.088 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.097 * * * [progress]: generating series expansions
0.097 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.097 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.097 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.098 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.098 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.098 * [taylor]: Taking taylor expansion of (atan N) in N
0.098 * [backup-simplify]: Simplify (atan N) into (atan N)
0.098 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.098 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.098 * [taylor]: Taking taylor expansion of (atan N) in N
0.098 * [backup-simplify]: Simplify (atan N) into (atan N)
0.098 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.098 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.098 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.099 * [backup-simplify]: Simplify (- 0) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (- 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.103 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.103 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.103 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.103 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.103 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.103 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.103 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.103 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.104 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.104 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.104 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.104 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.104 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.104 * [backup-simplify]: Simplify (- 0) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [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 (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.125 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.125 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.125 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.125 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.125 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.125 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.125 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.125 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.125 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.125 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.126 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.126 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.127 * [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
0.128 * [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
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.131 * * * [progress]: simplifying candidates
0.132 * * * * [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)))))))>
0.132 * * * * [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))))))>
0.132 * * * * [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))))>
0.132 * * * * [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)))))))>
0.132 * * * * [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))))))>
0.132 * * * * [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))))>
0.132 * * * * [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)))))))>
0.132 * * * * [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))))))>
0.132 * * * * [progress]: [ 9 / 33 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.132 * * * * [progress]: [ 10 / 33 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
0.132 * * * * [progress]: [ 11 / 33 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
0.132 * * * * [progress]: [ 12 / 33 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
0.132 * * * * [progress]: [ 13 / 33 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
0.132 * * * * [progress]: [ 14 / 33 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
0.132 * * * * [progress]: [ 15 / 33 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.132 * * * * [progress]: [ 16 / 33 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.132 * * * * [progress]: [ 17 / 33 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.132 * * * * [progress]: [ 18 / 33 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.133 * * * * [progress]: [ 19 / 33 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.133 * * * * [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)))))>
0.133 * * * * [progress]: [ 21 / 33 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.133 * * * * [progress]: [ 22 / 33 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.133 * * * * [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))))))>
0.133 * * * * [progress]: [ 24 / 33 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.133 * * * * [progress]: [ 25 / 33 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.133 * * * * [progress]: [ 26 / 33 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.133 * * * * [progress]: [ 27 / 33 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.133 * * * * [progress]: [ 28 / 33 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.133 * * * * [progress]: [ 29 / 33 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.133 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.133 * * * * [progress]: [ 31 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.133 * * * * [progress]: [ 32 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.133 * * * * [progress]: [ 33 / 33 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.134 * [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))
0.135 * * [simplify]: iteration 0: 62 enodes
0.153 * * [simplify]: iteration 1: 136 enodes
0.212 * * [simplify]: iteration 2: 306 enodes
0.407 * * [simplify]: iteration 3: 830 enodes
0.973 * * [simplify]: iteration 4: 2265 enodes
2.198 * * [simplify]: iteration complete: 5000 enodes
2.198 * * [simplify]: Extracting #0: cost 20 inf + 0
2.200 * * [simplify]: Extracting #1: cost 337 inf + 2
2.207 * * [simplify]: Extracting #2: cost 976 inf + 133
2.218 * * [simplify]: Extracting #3: cost 1126 inf + 12816
2.250 * * [simplify]: Extracting #4: cost 890 inf + 106710
2.309 * * [simplify]: Extracting #5: cost 333 inf + 363962
2.419 * * [simplify]: Extracting #6: cost 7 inf + 569317
2.514 * * [simplify]: Extracting #7: cost 0 inf + 572187
2.585 * [simplify]: Simplified to:
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (- (atan (+ N 1)) (atan N))
  0
  (expm1 (- (atan (+ N 1)) (atan N)))
  (log1p (- (atan (+ N 1)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1
  (fma N (+ N 1) 1)
  (exp (- (atan (+ N 1)) (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)))
  (- (* (atan (+ N 1)) (* (atan (+ N 1)) (atan (+ N 1)))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan (+ N 1)) (+ (atan (+ N 1)) (atan N)) (* (atan N) (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))
2.586 * * * [progress]: adding candidates to table
2.693 * * [progress]: iteration 2 / 4
2.693 * * * [progress]: picking best candidate
2.698 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.698 * * * [progress]: localizing error
2.715 * * * [progress]: generating rewritten candidates
2.715 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.715 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.716 * * * [progress]: generating series expansions
2.716 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.716 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.716 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
2.716 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.716 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.716 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.716 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.716 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.716 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.716 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
2.716 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.716 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.716 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.716 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.717 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.717 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.717 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
2.717 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.717 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.717 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.717 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.717 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.718 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.718 * [backup-simplify]: Simplify (fma N (+ N 1) 1) into (fma N (+ N 1) 1)
2.718 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0
2.718 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.718 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.718 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.718 * [taylor]: Taking taylor expansion of N in N
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.718 * [taylor]: Taking taylor expansion of N in N
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of 1 in N
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of 1 in N
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.718 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.718 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.718 * [taylor]: Taking taylor expansion of N in N
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.718 * [taylor]: Taking taylor expansion of N in N
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of 1 in N
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of 1 in N
2.718 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (+ 0 1) into 1
2.719 * [backup-simplify]: Simplify (* 0 1) into 0
2.719 * [backup-simplify]: Simplify (+ 0 1) into 1
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (+ 1 0) into 1
2.720 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.720 * [backup-simplify]: Simplify (+ 1 0) into 1
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (+ 0 0) into 0
2.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.721 * [backup-simplify]: Simplify (+ 1 0) into 1
2.721 * [backup-simplify]: Simplify 1 into 1
2.722 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.722 * [backup-simplify]: Simplify (fma (/ 1 N) (+ (/ 1 N) 1) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1)
2.722 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0
2.722 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.722 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.722 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.722 * [taylor]: Taking taylor expansion of N in N
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.722 * [backup-simplify]: Simplify (/ 1 1) into 1
2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.722 * [taylor]: Taking taylor expansion of N in N
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (/ 1 1) into 1
2.723 * [taylor]: Taking taylor expansion of 1 in N
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [taylor]: Taking taylor expansion of 1 in N
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.723 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.723 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.723 * [taylor]: Taking taylor expansion of N in N
2.723 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (/ 1 1) into 1
2.723 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.723 * [taylor]: Taking taylor expansion of N in N
2.723 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (/ 1 1) into 1
2.723 * [taylor]: Taking taylor expansion of 1 in N
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [taylor]: Taking taylor expansion of 1 in N
2.723 * [backup-simplify]: Simplify 1 into 1
2.724 * [backup-simplify]: Simplify (+ 1 0) into 1
2.724 * [backup-simplify]: Simplify (* 1 1) into 1
2.724 * [backup-simplify]: Simplify (+ 1 0) into 1
2.724 * [backup-simplify]: Simplify 1 into 1
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ 0 1) into 1
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.726 * [backup-simplify]: Simplify (+ 1 0) into 1
2.726 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.728 * [backup-simplify]: Simplify (+ 0 1) into 1
2.728 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.728 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
2.728 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0
2.728 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.729 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.729 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.729 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.729 * [taylor]: Taking taylor expansion of -1 in N
2.729 * [backup-simplify]: Simplify -1 into -1
2.729 * [taylor]: Taking taylor expansion of N in N
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 1 into 1
2.729 * [backup-simplify]: Simplify (/ -1 1) into -1
2.729 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.729 * [taylor]: Taking taylor expansion of 1 in N
2.729 * [backup-simplify]: Simplify 1 into 1
2.729 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.729 * [taylor]: Taking taylor expansion of N in N
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (/ 1 1) into 1
2.730 * [taylor]: Taking taylor expansion of 1 in N
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.730 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.730 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.730 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.730 * [taylor]: Taking taylor expansion of -1 in N
2.730 * [backup-simplify]: Simplify -1 into -1
2.730 * [taylor]: Taking taylor expansion of N in N
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (/ -1 1) into -1
2.730 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.730 * [taylor]: Taking taylor expansion of 1 in N
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.731 * [taylor]: Taking taylor expansion of N in N
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (/ 1 1) into 1
2.731 * [taylor]: Taking taylor expansion of 1 in N
2.731 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (- 1) into -1
2.732 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.732 * [backup-simplify]: Simplify (* -1 -1) into 1
2.733 * [backup-simplify]: Simplify (+ 1 0) into 1
2.733 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.734 * [backup-simplify]: Simplify (- 0) into 0
2.734 * [backup-simplify]: Simplify (+ 1 0) into 1
2.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.736 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.736 * [backup-simplify]: Simplify (+ -1 0) into -1
2.736 * [backup-simplify]: Simplify -1 into -1
2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.738 * [backup-simplify]: Simplify (- 0) into 0
2.738 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.741 * [backup-simplify]: Simplify (+ 0 1) into 1
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.741 * * * [progress]: simplifying candidates
2.741 * * * * [progress]: [ 1 / 27 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1)))))>
2.741 * * * * [progress]: [ 2 / 27 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma N (+ N 1) 1)))))>
2.741 * * * * [progress]: [ 3 / 27 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma N (+ N 1) 1)) 1))>
2.741 * * * * [progress]: [ 4 / 27 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma N (+ N 1) 1)))))>
2.741 * * * * [progress]: [ 5 / 27 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma N (+ N 1) 1)))))>
2.741 * * * * [progress]: [ 6 / 27 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1)))))>
2.741 * * * * [progress]: [ 7 / 27 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 8 / 27 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 9 / 27 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma N (+ N 1) 1))))>
2.742 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 11 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 12 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 13 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N (+ N 1)) 1)))>
2.742 * * * * [progress]: [ 14 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (fma N (+ N 1) 1) 1)))>
2.742 * * * * [progress]: [ 15 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 16 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 17 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 18 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)) (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 19 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 20 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (fma N (+ N 1) 1))))>
2.742 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (fma N (+ N 1) 1)))))>
2.742 * * * * [progress]: [ 22 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.742 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.742 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.743 * * * * [progress]: [ 25 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.743 * * * * [progress]: [ 26 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.743 * * * * [progress]: [ 27 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.743 * [simplify]: Simplifying:
  (expm1 (atan2 1 (fma N (+ N 1) 1)))
  (log1p (atan2 1 (fma N (+ N 1) 1)))
  (log (atan2 1 (fma N (+ N 1) 1)))
  (exp (atan2 1 (fma N (+ N 1) 1)))
  (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))
  (cbrt (atan2 1 (fma N (+ N 1) 1)))
  (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (real->posit16 (atan2 1 (fma N (+ N 1) 1)))
  (expm1 (fma N (+ N 1) 1))
  (log1p (fma N (+ N 1) 1))
  (* N (+ N 1))
  (log (fma N (+ N 1) 1))
  (exp (fma N (+ N 1) 1))
  (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))
  (cbrt (fma N (+ N 1) 1))
  (* (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)) (fma N (+ N 1) 1))
  (sqrt (fma N (+ N 1) 1))
  (sqrt (fma N (+ N 1) 1))
  (real->posit16 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
2.744 * * [simplify]: iteration 0: 30 enodes
2.752 * * [simplify]: iteration 1: 49 enodes
2.769 * * [simplify]: iteration 2: 84 enodes
2.805 * * [simplify]: iteration 3: 274 enodes
3.083 * * [simplify]: iteration 4: 1246 enodes
3.626 * * [simplify]: iteration complete: 5001 enodes
3.626 * * [simplify]: Extracting #0: cost 21 inf + 0
3.627 * * [simplify]: Extracting #1: cost 186 inf + 0
3.630 * * [simplify]: Extracting #2: cost 793 inf + 6621
3.650 * * [simplify]: Extracting #3: cost 1114 inf + 60881
3.699 * * [simplify]: Extracting #4: cost 423 inf + 222222
3.791 * * [simplify]: Extracting #5: cost 8 inf + 301033
3.890 * * [simplify]: Extracting #6: cost 0 inf + 303815
3.975 * [simplify]: Simplified to:
  (expm1 (atan2 1 (fma N (+ N 1) 1)))
  (log1p (atan2 1 (fma N (+ N 1) 1)))
  (log (atan2 1 (fma N (+ N 1) 1)))
  (exp (atan2 1 (fma N (+ N 1) 1)))
  (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))
  (cbrt (atan2 1 (fma N (+ N 1) 1)))
  (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (sqrt (atan2 1 (fma N (+ N 1) 1)))
  (real->posit16 (atan2 1 (fma N (+ N 1) 1)))
  (expm1 (fma N (+ N 1) 1))
  (log1p (fma N (+ N 1) 1))
  (fma N N N)
  (log1p (fma N N N))
  (exp (fma N (+ N 1) 1))
  (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))
  (cbrt (fma N (+ N 1) 1))
  (* (fma N (+ N 1) 1) (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)))
  (sqrt (fma N (+ N 1) 1))
  (sqrt (fma N (+ N 1) 1))
  (real->posit16 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (atan2 1 (fma N (+ N 1) 1))
  (fma N (+ N 1) 1)
  (fma N (+ N 1) 1)
  (fma N (+ N 1) 1)
3.976 * * * [progress]: adding candidates to table
4.087 * * [progress]: iteration 3 / 4
4.087 * * * [progress]: picking best candidate
4.110 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.110 * * * [progress]: localizing error
4.129 * * * [progress]: generating rewritten candidates
4.129 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.129 * * * [progress]: generating series expansions
4.129 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.130 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
4.130 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.130 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.131 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
4.131 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.131 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.131 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.132 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.132 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
4.132 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.132 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.132 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.132 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.132 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.133 * * * [progress]: simplifying candidates
4.133 * * * * [progress]: [ 1 / 13 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ (fma N N N) 1)))))>
4.133 * * * * [progress]: [ 2 / 13 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ (fma N N N) 1)))))>
4.133 * * * * [progress]: [ 3 / 13 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ (fma N N N) 1)) 1))>
4.133 * * * * [progress]: [ 4 / 13 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ (fma N N N) 1)))))>
4.133 * * * * [progress]: [ 5 / 13 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ (fma N N N) 1)))))>
4.133 * * * * [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)))))>
4.133 * * * * [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)))))>
4.133 * * * * [progress]: [ 8 / 13 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.133 * * * * [progress]: [ 9 / 13 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ (fma N N N) 1))))>
4.133 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ (fma N N N) 1)))))>
4.134 * * * * [progress]: [ 11 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.134 * * * * [progress]: [ 12 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.134 * * * * [progress]: [ 13 / 13 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.134 * [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))
4.134 * * [simplify]: iteration 0: 15 enodes
4.138 * * [simplify]: iteration 1: 21 enodes
4.143 * * [simplify]: iteration 2: 29 enodes
4.150 * * [simplify]: iteration 3: 42 enodes
4.157 * * [simplify]: iteration 4: 58 enodes
4.168 * * [simplify]: iteration 5: 113 enodes
4.192 * * [simplify]: iteration 6: 213 enodes
4.237 * * [simplify]: iteration 7: 378 enodes
4.347 * * [simplify]: iteration 8: 820 enodes
5.140 * * [simplify]: iteration 9: 2331 enodes
5.786 * * [simplify]: iteration complete: 5011 enodes
5.786 * * [simplify]: Extracting #0: cost 10 inf + 0
5.787 * * [simplify]: Extracting #1: cost 212 inf + 0
5.800 * * [simplify]: Extracting #2: cost 1293 inf + 4
5.811 * * [simplify]: Extracting #3: cost 1472 inf + 576
5.821 * * [simplify]: Extracting #4: cost 1464 inf + 937
5.837 * * [simplify]: Extracting #5: cost 1408 inf + 41897
5.923 * * [simplify]: Extracting #6: cost 683 inf + 868612
6.088 * * [simplify]: Extracting #7: cost 4 inf + 1707199
6.266 * * [simplify]: Extracting #8: cost 0 inf + 1705998
6.435 * [simplify]: Simplified to:
  (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)))
6.436 * * * [progress]: adding candidates to table
6.508 * * [progress]: iteration 4 / 4
6.508 * * * [progress]: picking best candidate
6.519 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.519 * * * [progress]: localizing error
6.540 * * * [progress]: generating rewritten candidates
6.540 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
6.541 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.542 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
6.544 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
6.545 * * * [progress]: generating series expansions
6.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
6.545 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.545 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.545 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.545 * [taylor]: Taking taylor expansion of 1/3 in N
6.546 * [backup-simplify]: Simplify 1/3 into 1/3
6.546 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.546 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.546 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.546 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.546 * [taylor]: Taking taylor expansion of N in N
6.546 * [backup-simplify]: Simplify 0 into 0
6.546 * [backup-simplify]: Simplify 1 into 1
6.546 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.546 * [taylor]: Taking taylor expansion of N in N
6.546 * [backup-simplify]: Simplify 0 into 0
6.546 * [backup-simplify]: Simplify 1 into 1
6.546 * [taylor]: Taking taylor expansion of 1 in N
6.546 * [backup-simplify]: Simplify 1 into 1
6.546 * [taylor]: Taking taylor expansion of 1 in N
6.546 * [backup-simplify]: Simplify 1 into 1
6.547 * [backup-simplify]: Simplify (+ 0 1) into 1
6.547 * [backup-simplify]: Simplify (* 0 1) into 0
6.548 * [backup-simplify]: Simplify (+ 0 1) into 1
6.548 * [backup-simplify]: Simplify (log 1) into 0
6.548 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.549 * [backup-simplify]: Simplify (+ 1 0) into 1
6.550 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.550 * [backup-simplify]: Simplify (+ 1 0) into 1
6.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.552 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.552 * [backup-simplify]: Simplify (exp 0) into 1
6.552 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.552 * [taylor]: Taking taylor expansion of 1/3 in N
6.552 * [backup-simplify]: Simplify 1/3 into 1/3
6.552 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.552 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.552 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.553 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.553 * [taylor]: Taking taylor expansion of N in N
6.553 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.553 * [taylor]: Taking taylor expansion of N in N
6.553 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [taylor]: Taking taylor expansion of 1 in N
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [taylor]: Taking taylor expansion of 1 in N
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [backup-simplify]: Simplify (+ 0 1) into 1
6.554 * [backup-simplify]: Simplify (* 0 1) into 0
6.554 * [backup-simplify]: Simplify (+ 0 1) into 1
6.554 * [backup-simplify]: Simplify (log 1) into 0
6.555 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.555 * [backup-simplify]: Simplify (+ 1 0) into 1
6.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.556 * [backup-simplify]: Simplify (+ 1 0) into 1
6.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.557 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.557 * [backup-simplify]: Simplify (exp 0) into 1
6.557 * [backup-simplify]: Simplify 1 into 1
6.557 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.557 * [backup-simplify]: Simplify 1/3 into 1/3
6.558 * [backup-simplify]: Simplify (+ 0 0) into 0
6.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.559 * [backup-simplify]: Simplify (+ 1 0) into 1
6.560 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.561 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.562 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.562 * [backup-simplify]: Simplify 2/9 into 2/9
6.562 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.562 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.562 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.562 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.562 * [taylor]: Taking taylor expansion of 1/3 in N
6.562 * [backup-simplify]: Simplify 1/3 into 1/3
6.562 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.562 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.562 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.562 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.562 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.562 * [taylor]: Taking taylor expansion of N in N
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [backup-simplify]: Simplify (/ 1 1) into 1
6.562 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.563 * [taylor]: Taking taylor expansion of N in N
6.563 * [backup-simplify]: Simplify 0 into 0
6.563 * [backup-simplify]: Simplify 1 into 1
6.563 * [backup-simplify]: Simplify (/ 1 1) into 1
6.563 * [taylor]: Taking taylor expansion of 1 in N
6.563 * [backup-simplify]: Simplify 1 into 1
6.563 * [taylor]: Taking taylor expansion of 1 in N
6.563 * [backup-simplify]: Simplify 1 into 1
6.563 * [backup-simplify]: Simplify (+ 1 0) into 1
6.563 * [backup-simplify]: Simplify (* 1 1) into 1
6.564 * [backup-simplify]: Simplify (+ 1 0) into 1
6.564 * [backup-simplify]: Simplify (log 1) into 0
6.564 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.564 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.564 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.564 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.564 * [taylor]: Taking taylor expansion of 1/3 in N
6.564 * [backup-simplify]: Simplify 1/3 into 1/3
6.564 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.564 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.564 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.564 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.565 * [taylor]: Taking taylor expansion of N in N
6.565 * [backup-simplify]: Simplify 0 into 0
6.565 * [backup-simplify]: Simplify 1 into 1
6.565 * [backup-simplify]: Simplify (/ 1 1) into 1
6.565 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.565 * [taylor]: Taking taylor expansion of N in N
6.565 * [backup-simplify]: Simplify 0 into 0
6.565 * [backup-simplify]: Simplify 1 into 1
6.565 * [backup-simplify]: Simplify (/ 1 1) into 1
6.565 * [taylor]: Taking taylor expansion of 1 in N
6.565 * [backup-simplify]: Simplify 1 into 1
6.565 * [taylor]: Taking taylor expansion of 1 in N
6.565 * [backup-simplify]: Simplify 1 into 1
6.566 * [backup-simplify]: Simplify (+ 1 0) into 1
6.566 * [backup-simplify]: Simplify (* 1 1) into 1
6.566 * [backup-simplify]: Simplify (+ 1 0) into 1
6.566 * [backup-simplify]: Simplify (log 1) into 0
6.567 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.567 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.567 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.567 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.568 * [backup-simplify]: Simplify (+ 0 1) into 1
6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.568 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.569 * [backup-simplify]: Simplify (+ 1 0) into 1
6.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.570 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.570 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.570 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.571 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.573 * [backup-simplify]: Simplify (+ 0 1) into 1
6.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.574 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.575 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.576 * [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))
6.576 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.576 * [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))))
6.576 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.576 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.576 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.577 * [taylor]: Taking taylor expansion of 1/3 in N
6.577 * [backup-simplify]: Simplify 1/3 into 1/3
6.577 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.577 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.577 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.577 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.577 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.577 * [taylor]: Taking taylor expansion of -1 in N
6.577 * [backup-simplify]: Simplify -1 into -1
6.577 * [taylor]: Taking taylor expansion of N in N
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify 1 into 1
6.577 * [backup-simplify]: Simplify (/ -1 1) into -1
6.577 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.577 * [taylor]: Taking taylor expansion of 1 in N
6.577 * [backup-simplify]: Simplify 1 into 1
6.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.577 * [taylor]: Taking taylor expansion of N in N
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify 1 into 1
6.577 * [backup-simplify]: Simplify (/ 1 1) into 1
6.577 * [taylor]: Taking taylor expansion of 1 in N
6.577 * [backup-simplify]: Simplify 1 into 1
6.578 * [backup-simplify]: Simplify (- 1) into -1
6.578 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.578 * [backup-simplify]: Simplify (* -1 -1) into 1
6.578 * [backup-simplify]: Simplify (+ 1 0) into 1
6.579 * [backup-simplify]: Simplify (log 1) into 0
6.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.579 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.579 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.579 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.579 * [taylor]: Taking taylor expansion of 1/3 in N
6.579 * [backup-simplify]: Simplify 1/3 into 1/3
6.579 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.579 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.579 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.579 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.579 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.579 * [taylor]: Taking taylor expansion of -1 in N
6.579 * [backup-simplify]: Simplify -1 into -1
6.579 * [taylor]: Taking taylor expansion of N in N
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify 1 into 1
6.580 * [backup-simplify]: Simplify (/ -1 1) into -1
6.580 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.580 * [taylor]: Taking taylor expansion of 1 in N
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.580 * [taylor]: Taking taylor expansion of N in N
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [backup-simplify]: Simplify (/ 1 1) into 1
6.580 * [taylor]: Taking taylor expansion of 1 in N
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [backup-simplify]: Simplify (- 1) into -1
6.581 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.581 * [backup-simplify]: Simplify (* -1 -1) into 1
6.581 * [backup-simplify]: Simplify (+ 1 0) into 1
6.581 * [backup-simplify]: Simplify (log 1) into 0
6.582 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.582 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.582 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.582 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.583 * [backup-simplify]: Simplify (- 0) into 0
6.583 * [backup-simplify]: Simplify (+ 1 0) into 1
6.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.584 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.584 * [backup-simplify]: Simplify (+ -1 0) into -1
6.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.585 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.585 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.586 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.586 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.587 * [backup-simplify]: Simplify (- 0) into 0
6.587 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.588 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.589 * [backup-simplify]: Simplify (+ 0 1) into 1
6.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.590 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.591 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.592 * [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))
6.592 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.592 * [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))))
6.592 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.593 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.593 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.593 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.593 * [taylor]: Taking taylor expansion of 1/3 in N
6.593 * [backup-simplify]: Simplify 1/3 into 1/3
6.593 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.593 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.593 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.593 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.593 * [taylor]: Taking taylor expansion of N in N
6.593 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify 1 into 1
6.593 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.593 * [taylor]: Taking taylor expansion of N in N
6.593 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify 1 into 1
6.593 * [taylor]: Taking taylor expansion of 1 in N
6.593 * [backup-simplify]: Simplify 1 into 1
6.593 * [taylor]: Taking taylor expansion of 1 in N
6.593 * [backup-simplify]: Simplify 1 into 1
6.593 * [backup-simplify]: Simplify (+ 0 1) into 1
6.593 * [backup-simplify]: Simplify (* 0 1) into 0
6.594 * [backup-simplify]: Simplify (+ 0 1) into 1
6.594 * [backup-simplify]: Simplify (log 1) into 0
6.594 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.595 * [backup-simplify]: Simplify (+ 1 0) into 1
6.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.595 * [backup-simplify]: Simplify (+ 1 0) into 1
6.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.597 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.597 * [backup-simplify]: Simplify (exp 0) into 1
6.597 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.597 * [taylor]: Taking taylor expansion of 1/3 in N
6.597 * [backup-simplify]: Simplify 1/3 into 1/3
6.597 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.597 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.597 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.597 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.597 * [taylor]: Taking taylor expansion of N in N
6.597 * [backup-simplify]: Simplify 0 into 0
6.597 * [backup-simplify]: Simplify 1 into 1
6.597 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.597 * [taylor]: Taking taylor expansion of N in N
6.597 * [backup-simplify]: Simplify 0 into 0
6.597 * [backup-simplify]: Simplify 1 into 1
6.597 * [taylor]: Taking taylor expansion of 1 in N
6.597 * [backup-simplify]: Simplify 1 into 1
6.597 * [taylor]: Taking taylor expansion of 1 in N
6.597 * [backup-simplify]: Simplify 1 into 1
6.597 * [backup-simplify]: Simplify (+ 0 1) into 1
6.597 * [backup-simplify]: Simplify (* 0 1) into 0
6.598 * [backup-simplify]: Simplify (+ 0 1) into 1
6.598 * [backup-simplify]: Simplify (log 1) into 0
6.598 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.599 * [backup-simplify]: Simplify (+ 1 0) into 1
6.599 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.599 * [backup-simplify]: Simplify (+ 1 0) into 1
6.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.600 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.600 * [backup-simplify]: Simplify (exp 0) into 1
6.600 * [backup-simplify]: Simplify 1 into 1
6.601 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.601 * [backup-simplify]: Simplify 1/3 into 1/3
6.601 * [backup-simplify]: Simplify (+ 0 0) into 0
6.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.602 * [backup-simplify]: Simplify (+ 1 0) into 1
6.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.604 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.605 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.605 * [backup-simplify]: Simplify 2/9 into 2/9
6.606 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.606 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.606 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.606 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.606 * [taylor]: Taking taylor expansion of 1/3 in N
6.606 * [backup-simplify]: Simplify 1/3 into 1/3
6.606 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.606 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.606 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.606 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.606 * [taylor]: Taking taylor expansion of N in N
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [backup-simplify]: Simplify (/ 1 1) into 1
6.606 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.606 * [taylor]: Taking taylor expansion of N in N
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify (/ 1 1) into 1
6.607 * [taylor]: Taking taylor expansion of 1 in N
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [taylor]: Taking taylor expansion of 1 in N
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify (+ 1 0) into 1
6.607 * [backup-simplify]: Simplify (* 1 1) into 1
6.607 * [backup-simplify]: Simplify (+ 1 0) into 1
6.608 * [backup-simplify]: Simplify (log 1) into 0
6.608 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.608 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.608 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.608 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.608 * [taylor]: Taking taylor expansion of 1/3 in N
6.608 * [backup-simplify]: Simplify 1/3 into 1/3
6.608 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.608 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.608 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.608 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.608 * [taylor]: Taking taylor expansion of N in N
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (/ 1 1) into 1
6.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.609 * [taylor]: Taking taylor expansion of N in N
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (/ 1 1) into 1
6.609 * [taylor]: Taking taylor expansion of 1 in N
6.609 * [backup-simplify]: Simplify 1 into 1
6.609 * [taylor]: Taking taylor expansion of 1 in N
6.609 * [backup-simplify]: Simplify 1 into 1
6.610 * [backup-simplify]: Simplify (+ 1 0) into 1
6.610 * [backup-simplify]: Simplify (* 1 1) into 1
6.611 * [backup-simplify]: Simplify (+ 1 0) into 1
6.611 * [backup-simplify]: Simplify (log 1) into 0
6.612 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.612 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.612 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.612 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.613 * [backup-simplify]: Simplify (+ 0 1) into 1
6.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.614 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.614 * [backup-simplify]: Simplify (+ 1 0) into 1
6.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.616 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.616 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.616 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.616 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.617 * [backup-simplify]: Simplify (+ 0 0) into 0
6.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.619 * [backup-simplify]: Simplify (+ 0 1) into 1
6.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.620 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.621 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.622 * [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))
6.622 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.622 * [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))))
6.622 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.622 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.622 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.623 * [taylor]: Taking taylor expansion of 1/3 in N
6.623 * [backup-simplify]: Simplify 1/3 into 1/3
6.623 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.623 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.623 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.623 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.623 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.623 * [taylor]: Taking taylor expansion of -1 in N
6.623 * [backup-simplify]: Simplify -1 into -1
6.623 * [taylor]: Taking taylor expansion of N in N
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify 1 into 1
6.623 * [backup-simplify]: Simplify (/ -1 1) into -1
6.623 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.623 * [taylor]: Taking taylor expansion of 1 in N
6.623 * [backup-simplify]: Simplify 1 into 1
6.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.623 * [taylor]: Taking taylor expansion of N in N
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify 1 into 1
6.623 * [backup-simplify]: Simplify (/ 1 1) into 1
6.623 * [taylor]: Taking taylor expansion of 1 in N
6.623 * [backup-simplify]: Simplify 1 into 1
6.624 * [backup-simplify]: Simplify (- 1) into -1
6.624 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.624 * [backup-simplify]: Simplify (* -1 -1) into 1
6.624 * [backup-simplify]: Simplify (+ 1 0) into 1
6.625 * [backup-simplify]: Simplify (log 1) into 0
6.625 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.625 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.625 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.625 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.625 * [taylor]: Taking taylor expansion of 1/3 in N
6.625 * [backup-simplify]: Simplify 1/3 into 1/3
6.625 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.625 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.625 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.625 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.625 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.625 * [taylor]: Taking taylor expansion of -1 in N
6.625 * [backup-simplify]: Simplify -1 into -1
6.625 * [taylor]: Taking taylor expansion of N in N
6.625 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 1 into 1
6.626 * [backup-simplify]: Simplify (/ -1 1) into -1
6.626 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.626 * [taylor]: Taking taylor expansion of 1 in N
6.626 * [backup-simplify]: Simplify 1 into 1
6.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.626 * [taylor]: Taking taylor expansion of N in N
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 1 into 1
6.626 * [backup-simplify]: Simplify (/ 1 1) into 1
6.626 * [taylor]: Taking taylor expansion of 1 in N
6.626 * [backup-simplify]: Simplify 1 into 1
6.626 * [backup-simplify]: Simplify (- 1) into -1
6.627 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.627 * [backup-simplify]: Simplify (* -1 -1) into 1
6.627 * [backup-simplify]: Simplify (+ 1 0) into 1
6.628 * [backup-simplify]: Simplify (log 1) into 0
6.628 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.628 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.628 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.628 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.629 * [backup-simplify]: Simplify (- 0) into 0
6.629 * [backup-simplify]: Simplify (+ 1 0) into 1
6.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.630 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.631 * [backup-simplify]: Simplify (+ -1 0) into -1
6.631 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.632 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.632 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.633 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.633 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.634 * [backup-simplify]: Simplify (- 0) into 0
6.634 * [backup-simplify]: Simplify (+ 0 0) into 0
6.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.638 * [backup-simplify]: Simplify (+ 0 1) into 1
6.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.640 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.640 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.641 * [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))
6.642 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.642 * [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))))
6.642 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
6.643 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
6.643 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
6.643 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.643 * [taylor]: Taking taylor expansion of 1/3 in N
6.643 * [backup-simplify]: Simplify 1/3 into 1/3
6.643 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.643 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.643 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.643 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.643 * [taylor]: Taking taylor expansion of N in N
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 1 into 1
6.643 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.643 * [taylor]: Taking taylor expansion of N in N
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 1 into 1
6.643 * [taylor]: Taking taylor expansion of 1 in N
6.643 * [backup-simplify]: Simplify 1 into 1
6.643 * [taylor]: Taking taylor expansion of 1 in N
6.643 * [backup-simplify]: Simplify 1 into 1
6.644 * [backup-simplify]: Simplify (+ 0 1) into 1
6.644 * [backup-simplify]: Simplify (* 0 1) into 0
6.645 * [backup-simplify]: Simplify (+ 0 1) into 1
6.645 * [backup-simplify]: Simplify (log 1) into 0
6.646 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.646 * [backup-simplify]: Simplify (+ 1 0) into 1
6.647 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.647 * [backup-simplify]: Simplify (+ 1 0) into 1
6.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.650 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.650 * [backup-simplify]: Simplify (exp 0) into 1
6.650 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
6.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
6.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
6.650 * [taylor]: Taking taylor expansion of 1/3 in N
6.650 * [backup-simplify]: Simplify 1/3 into 1/3
6.650 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
6.650 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
6.650 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
6.650 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
6.650 * [taylor]: Taking taylor expansion of N in N
6.650 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [taylor]: Taking taylor expansion of (+ N 1) in N
6.651 * [taylor]: Taking taylor expansion of N in N
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [taylor]: Taking taylor expansion of 1 in N
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [taylor]: Taking taylor expansion of 1 in N
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [backup-simplify]: Simplify (+ 0 1) into 1
6.652 * [backup-simplify]: Simplify (* 0 1) into 0
6.652 * [backup-simplify]: Simplify (+ 0 1) into 1
6.653 * [backup-simplify]: Simplify (log 1) into 0
6.653 * [backup-simplify]: Simplify (* 1/3 0) into 0
6.654 * [backup-simplify]: Simplify (+ 1 0) into 1
6.654 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
6.655 * [backup-simplify]: Simplify (+ 1 0) into 1
6.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.656 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
6.656 * [backup-simplify]: Simplify (exp 0) into 1
6.656 * [backup-simplify]: Simplify 1 into 1
6.657 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
6.657 * [backup-simplify]: Simplify 1/3 into 1/3
6.657 * [backup-simplify]: Simplify (+ 0 0) into 0
6.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
6.658 * [backup-simplify]: Simplify (+ 1 0) into 1
6.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.660 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
6.661 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
6.661 * [backup-simplify]: Simplify 2/9 into 2/9
6.661 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
6.661 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
6.661 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
6.661 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.661 * [taylor]: Taking taylor expansion of 1/3 in N
6.661 * [backup-simplify]: Simplify 1/3 into 1/3
6.661 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.661 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.662 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.662 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.662 * [taylor]: Taking taylor expansion of N in N
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 1 into 1
6.662 * [backup-simplify]: Simplify (/ 1 1) into 1
6.662 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.662 * [taylor]: Taking taylor expansion of N in N
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 1 into 1
6.662 * [backup-simplify]: Simplify (/ 1 1) into 1
6.662 * [taylor]: Taking taylor expansion of 1 in N
6.662 * [backup-simplify]: Simplify 1 into 1
6.662 * [taylor]: Taking taylor expansion of 1 in N
6.662 * [backup-simplify]: Simplify 1 into 1
6.663 * [backup-simplify]: Simplify (+ 1 0) into 1
6.663 * [backup-simplify]: Simplify (* 1 1) into 1
6.663 * [backup-simplify]: Simplify (+ 1 0) into 1
6.663 * [backup-simplify]: Simplify (log 1) into 0
6.664 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.664 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.664 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.664 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
6.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
6.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
6.664 * [taylor]: Taking taylor expansion of 1/3 in N
6.664 * [backup-simplify]: Simplify 1/3 into 1/3
6.664 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.664 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
6.664 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
6.664 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
6.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.664 * [taylor]: Taking taylor expansion of N in N
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 1 into 1
6.664 * [backup-simplify]: Simplify (/ 1 1) into 1
6.664 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
6.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.664 * [taylor]: Taking taylor expansion of N in N
6.664 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [backup-simplify]: Simplify (/ 1 1) into 1
6.665 * [taylor]: Taking taylor expansion of 1 in N
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [taylor]: Taking taylor expansion of 1 in N
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [backup-simplify]: Simplify (+ 1 0) into 1
6.665 * [backup-simplify]: Simplify (* 1 1) into 1
6.666 * [backup-simplify]: Simplify (+ 1 0) into 1
6.666 * [backup-simplify]: Simplify (log 1) into 0
6.666 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.666 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.666 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.666 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.667 * [backup-simplify]: Simplify (+ 0 1) into 1
6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.668 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
6.668 * [backup-simplify]: Simplify (+ 1 0) into 1
6.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
6.669 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.670 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
6.670 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.670 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify (+ 0 0) into 0
6.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
6.673 * [backup-simplify]: Simplify (+ 0 1) into 1
6.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.674 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.675 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
6.676 * [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))
6.676 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.676 * [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))))
6.676 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
6.676 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
6.676 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.676 * [taylor]: Taking taylor expansion of 1/3 in N
6.676 * [backup-simplify]: Simplify 1/3 into 1/3
6.676 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.676 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.677 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.677 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.677 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.677 * [taylor]: Taking taylor expansion of -1 in N
6.677 * [backup-simplify]: Simplify -1 into -1
6.677 * [taylor]: Taking taylor expansion of N in N
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [backup-simplify]: Simplify (/ -1 1) into -1
6.677 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.677 * [taylor]: Taking taylor expansion of 1 in N
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.677 * [taylor]: Taking taylor expansion of N in N
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [backup-simplify]: Simplify (/ 1 1) into 1
6.677 * [taylor]: Taking taylor expansion of 1 in N
6.677 * [backup-simplify]: Simplify 1 into 1
6.678 * [backup-simplify]: Simplify (- 1) into -1
6.678 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.678 * [backup-simplify]: Simplify (* -1 -1) into 1
6.678 * [backup-simplify]: Simplify (+ 1 0) into 1
6.679 * [backup-simplify]: Simplify (log 1) into 0
6.679 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.679 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.679 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.679 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
6.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
6.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
6.679 * [taylor]: Taking taylor expansion of 1/3 in N
6.679 * [backup-simplify]: Simplify 1/3 into 1/3
6.679 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.679 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
6.679 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
6.679 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
6.679 * [taylor]: Taking taylor expansion of (/ -1 N) in N
6.679 * [taylor]: Taking taylor expansion of -1 in N
6.679 * [backup-simplify]: Simplify -1 into -1
6.679 * [taylor]: Taking taylor expansion of N in N
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (/ -1 1) into -1
6.680 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
6.680 * [taylor]: Taking taylor expansion of 1 in N
6.680 * [backup-simplify]: Simplify 1 into 1
6.680 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.680 * [taylor]: Taking taylor expansion of N in N
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (/ 1 1) into 1
6.680 * [taylor]: Taking taylor expansion of 1 in N
6.680 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (- 1) into -1
6.680 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.681 * [backup-simplify]: Simplify (* -1 -1) into 1
6.681 * [backup-simplify]: Simplify (+ 1 0) into 1
6.681 * [backup-simplify]: Simplify (log 1) into 0
6.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.682 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
6.682 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
6.682 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.682 * [backup-simplify]: Simplify (- 0) into 0
6.683 * [backup-simplify]: Simplify (+ 1 0) into 1
6.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.684 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
6.684 * [backup-simplify]: Simplify (+ -1 0) into -1
6.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
6.685 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.685 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
6.686 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.686 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.687 * [backup-simplify]: Simplify (- 0) into 0
6.687 * [backup-simplify]: Simplify (+ 0 0) into 0
6.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
6.689 * [backup-simplify]: Simplify (+ 0 1) into 1
6.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
6.692 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
6.693 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
6.695 * [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))
6.695 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
6.696 * [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))))
6.696 * * * * [progress]: [ 4 / 4 ] generating series at (2)
6.696 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) into (atan2 1 (fma N (+ N 1) 1))
6.696 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
6.696 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
6.696 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.696 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
6.696 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.697 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.697 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.697 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
6.697 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.698 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.698 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
6.698 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.698 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
6.698 * [backup-simplify]: Simplify 0 into 0
6.698 * [backup-simplify]: Simplify 0 into 0
6.698 * [backup-simplify]: Simplify 0 into 0
6.698 * [backup-simplify]: Simplify 0 into 0
6.698 * [backup-simplify]: Simplify 0 into 0
6.698 * [backup-simplify]: Simplify 0 into 0
6.698 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.699 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.699 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
6.699 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.699 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.699 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
6.699 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.700 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
6.700 * * * [progress]: simplifying candidates
6.700 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (log1p (expm1 (cbrt (fma N (+ N 1) 1)))))))>
6.700 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (expm1 (log1p (cbrt (fma N (+ N 1) 1)))))))>
6.700 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (pow (fma N (+ N 1) 1) 1/3))))>
6.700 * * * * [progress]: [ 4 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (pow (cbrt (fma N (+ N 1) 1)) 1))))>
6.701 * * * * [progress]: [ 5 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (exp (log (cbrt (fma N (+ N 1) 1)))))))>
6.701 * * * * [progress]: [ 6 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (log (exp (cbrt (fma N (+ N 1) 1)))))))>
6.701 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (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)))))))>
6.701 * * * * [progress]: [ 8 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))>
6.701 * * * * [progress]: [ 9 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))>
6.701 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 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)))))))>
6.701 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.701 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
6.701 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* 1 (cbrt (fma N (+ N 1) 1))))))>
6.701 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1)))))))>
6.701 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log1p (expm1 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (expm1 (log1p (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (fma N (+ N 1) 1) 1/3)) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 18 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (cbrt (fma N (+ N 1) 1)) 1)) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 19 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (exp (log (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log (exp (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 21 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (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 (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 23 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 24 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 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))))) (cbrt (fma N (+ N 1) 1)))))>
6.701 * * * * [progress]: [ 25 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 27 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* 1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log1p (expm1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (expm1 (log1p (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 31 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (fma N (+ N 1) 1) 1/3) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (cbrt (fma N (+ N 1) 1)) 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (exp (log (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log (exp (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 35 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 41 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.702 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) 1))>
6.702 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.702 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))))>
6.702 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
6.703 * * * * [progress]: [ 53 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
6.703 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
6.703 * * * * [progress]: [ 55 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
6.703 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.703 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 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 (+ N 1) 1)))))>
6.703 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 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 (+ N 1) 1)))))>
6.703 * * * * [progress]: [ 59 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.703 * * * * [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 (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.703 * * * * [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 (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
6.703 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
6.703 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
6.703 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
6.703 * [simplify]: Simplifying:
  (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)))
  (cbrt 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)))
  (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (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)))
  (cbrt 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)))
  (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (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)))
  (cbrt 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)))
  (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (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 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (log1p (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (log (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (exp (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))))
  (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (* (* (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
  (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 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))
6.704 * * [simplify]: iteration 0: 56 enodes
6.714 * * [simplify]: iteration 1: 104 enodes
6.736 * * [simplify]: iteration 2: 203 enodes
6.811 * * [simplify]: iteration 3: 549 enodes
7.059 * * [simplify]: iteration 4: 1519 enodes
7.773 * * [simplify]: iteration 5: 4288 enodes
8.460 * * [simplify]: iteration complete: 5000 enodes
8.461 * * [simplify]: Extracting #0: cost 26 inf + 0
8.462 * * [simplify]: Extracting #1: cost 281 inf + 1
8.470 * * [simplify]: Extracting #2: cost 533 inf + 4113
8.478 * * [simplify]: Extracting #3: cost 542 inf + 14057
8.493 * * [simplify]: Extracting #4: cost 408 inf + 112589
8.534 * * [simplify]: Extracting #5: cost 75 inf + 206313
8.585 * * [simplify]: Extracting #6: cost 23 inf + 236382
8.634 * * [simplify]: Extracting #7: cost 3 inf + 249138
8.708 * * [simplify]: Extracting #8: cost 0 inf + 251363
8.772 * [simplify]: Simplified to:
  (expm1 (cbrt (fma N N (+ 1 N))))
  (log1p (cbrt (fma N N (+ 1 N))))
  (log (cbrt (fma N N (+ 1 N))))
  (exp (cbrt (fma N N (+ 1 N))))
  (cbrt (* (cbrt (fma N N (+ 1 N))) (cbrt (fma N N (+ 1 N)))))
  (cbrt (cbrt (fma N N (+ 1 N))))
  (cbrt (sqrt (fma N N (+ 1 N))))
  (cbrt (sqrt (fma N N (+ 1 N))))
  1
  (cbrt (fma N N (+ 1 N)))
  (* (cbrt (cbrt (fma N N (+ 1 N)))) (cbrt (cbrt (fma N N (+ 1 N)))))
  (cbrt (cbrt (fma N N (+ 1 N))))
  (fma N N (+ 1 N))
  (sqrt (cbrt (fma N N (+ 1 N))))
  (sqrt (cbrt (fma N N (+ 1 N))))
  (real->posit16 (cbrt (fma N N (+ 1 N))))
  (expm1 (cbrt (fma N N (+ 1 N))))
  (log1p (cbrt (fma N N (+ 1 N))))
  (log (cbrt (fma N N (+ 1 N))))
  (exp (cbrt (fma N N (+ 1 N))))
  (cbrt (* (cbrt (fma N N (+ 1 N))) (cbrt (fma N N (+ 1 N)))))
  (cbrt (cbrt (fma N N (+ 1 N))))
  (cbrt (sqrt (fma N N (+ 1 N))))
  (cbrt (sqrt (fma N N (+ 1 N))))
  1
  (cbrt (fma N N (+ 1 N)))
  (* (cbrt (cbrt (fma N N (+ 1 N)))) (cbrt (cbrt (fma N N (+ 1 N)))))
  (cbrt (cbrt (fma N N (+ 1 N))))
  (fma N N (+ 1 N))
  (sqrt (cbrt (fma N N (+ 1 N))))
  (sqrt (cbrt (fma N N (+ 1 N))))
  (real->posit16 (cbrt (fma N N (+ 1 N))))
  (expm1 (cbrt (fma N N (+ 1 N))))
  (log1p (cbrt (fma N N (+ 1 N))))
  (log (cbrt (fma N N (+ 1 N))))
  (exp (cbrt (fma N N (+ 1 N))))
  (cbrt (* (cbrt (fma N N (+ 1 N))) (cbrt (fma N N (+ 1 N)))))
  (cbrt (cbrt (fma N N (+ 1 N))))
  (cbrt (sqrt (fma N N (+ 1 N))))
  (cbrt (sqrt (fma N N (+ 1 N))))
  1
  (cbrt (fma N N (+ 1 N)))
  (* (cbrt (cbrt (fma N N (+ 1 N)))) (cbrt (cbrt (fma N N (+ 1 N)))))
  (cbrt (cbrt (fma N N (+ 1 N))))
  (fma N N (+ 1 N))
  (sqrt (cbrt (fma N N (+ 1 N))))
  (sqrt (cbrt (fma N N (+ 1 N))))
  (real->posit16 (cbrt (fma N N (+ 1 N))))
  (expm1 (atan2 1 (fma N N (+ 1 N))))
  (log1p (atan2 1 (fma N N (+ 1 N))))
  (log (atan2 1 (fma N N (+ 1 N))))
  (exp (atan2 1 (fma N N (+ 1 N))))
  (* (cbrt (atan2 1 (fma N N (+ 1 N)))) (cbrt (atan2 1 (fma N N (+ 1 N)))))
  (cbrt (atan2 1 (fma N N (+ 1 N))))
  (* (atan2 1 (fma N N (+ 1 N))) (* (atan2 1 (fma N N (+ 1 N))) (atan2 1 (fma N N (+ 1 N)))))
  (sqrt (atan2 1 (fma N N (+ 1 N))))
  (sqrt (atan2 1 (fma N N (+ 1 N))))
  (real->posit16 (atan2 1 (fma N N (+ 1 N))))
  (fma N (fma N 2/9 1/3) 1)
  (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (pow (/ 1 N) -2/3)))
  (fma 1/3 (cbrt (/ 1 N)) (fma (cbrt (/ (/ 1 (* N N)) (* N N))) 2/9 (pow (/ -1 N) -2/3)))
  (fma N (fma N 2/9 1/3) 1)
  (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (pow (/ 1 N) -2/3)))
  (fma 1/3 (cbrt (/ 1 N)) (fma (cbrt (/ (/ 1 (* N N)) (* N N))) 2/9 (pow (/ -1 N) -2/3)))
  (fma N (fma N 2/9 1/3) 1)
  (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ 1 (* N N)) (* N N))) (pow (/ 1 N) -2/3)))
  (fma 1/3 (cbrt (/ 1 N)) (fma (cbrt (/ (/ 1 (* N N)) (* N N))) 2/9 (pow (/ -1 N) -2/3)))
  (atan2 1 (fma N N (+ 1 N)))
  (atan2 1 (fma N N (+ 1 N)))
  (atan2 1 (fma N N (+ 1 N)))
8.776 * * * [progress]: adding candidates to table
9.113 * [progress]: [Phase 3 of 3] Extracting.
9.113 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (cbrt (* (atan2 1 (fma N N (+ 1 N))) (* (atan2 1 (fma N N (+ 1 N))) (atan2 1 (fma N N (+ 1 N)))))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (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)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> #<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)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 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))))) (cbrt (fma N (+ N 1) 1)))))>)
9.114 * * * [regime-changes]: Trying 1 branch expressions: (N)
9.114 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (cbrt (* (atan2 1 (fma N N (+ 1 N))) (* (atan2 1 (fma N N (+ 1 N))) (atan2 1 (fma N N (+ 1 N)))))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (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)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> #<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)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 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))))) (cbrt (fma N (+ N 1) 1)))))>)
9.148 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
9.148 * [simplify]: Simplifying:
  (atan2 1 (+ (fma N N N) 1))
9.148 * * [simplify]: iteration 0: 5 enodes
9.148 * * [simplify]: iteration 1: 8 enodes
9.148 * * [simplify]: iteration complete: 8 enodes
9.148 * * [simplify]: Extracting #0: cost 1 inf + 0
9.148 * * [simplify]: Extracting #1: cost 3 inf + 0
9.148 * * [simplify]: Extracting #2: cost 3 inf + 1
9.148 * * [simplify]: Extracting #3: cost 4 inf + 1
9.148 * * [simplify]: Extracting #4: cost 0 inf + 392
9.149 * [simplify]: Simplified to:
  (atan2 1 (+ 1 (fma N N N)))
11.571 * [regime-testing]: Baseline error score: 0.41813445411608813
11.573 * [regime-testing]: Oracle error score: 0.3820049379265645
11.581 * [regime-testing]: End program error score: 0.41813445411608813
11.640 * [regime-testing]: Target error score: 0.42088479790906225