26.229 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.058 * * * [progress]: [2/2] Setting up program.
0.060 * [progress]: [Phase 2 of 3] Improving.
0.060 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.060 * [simplify]: Simplifying:
  (- (atan (+ N 1)) (atan N))
0.060 * * [simplify]: iteration 1: (6 enodes)
0.062 * * [simplify]: iteration 2: (11 enodes)
0.064 * * [simplify]: iteration 3: (12 enodes)
0.065 * * [simplify]: Extracting #0: cost 1 inf + 0
0.065 * * [simplify]: Extracting #1: cost 4 inf + 0
0.065 * * [simplify]: Extracting #2: cost 6 inf + 0
0.065 * * [simplify]: Extracting #3: cost 4 inf + 253
0.065 * * [simplify]: Extracting #4: cost 0 inf + 735
0.065 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
0.068 * * [progress]: iteration 1 / 4
0.068 * * * [progress]: picking best candidate
0.070 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.070 * * * [progress]: localizing error
0.091 * * * [progress]: generating rewritten candidates
0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.097 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.099 * * * [progress]: generating series expansions
0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.099 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.099 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.099 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.099 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.099 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.099 * [taylor]: Taking taylor expansion of (atan N) in N
0.099 * [backup-simplify]: Simplify (atan N) into (atan N)
0.099 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.099 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.099 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.099 * [taylor]: Taking taylor expansion of (atan N) in N
0.099 * [backup-simplify]: Simplify (atan N) into (atan N)
0.099 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.099 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.099 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
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
0.101 * [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
0.102 * [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
0.103 * [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 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.103 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.103 * [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
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (- 0) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.105 * [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
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [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
0.106 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.107 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.107 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.107 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.107 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.107 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.107 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.107 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.107 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.107 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.107 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.107 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.107 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.107 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.107 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.107 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.110 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.110 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.110 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.111 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.111 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.111 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.111 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.112 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.112 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.112 * * * [progress]: simplifying candidates
0.112 * * * * [progress]: [ 1 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
0.112 * * * * [progress]: [ 2 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.112 * * * * [progress]: [ 3 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.112 * * * * [progress]: [ 4 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
0.112 * * * * [progress]: [ 5 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.112 * * * * [progress]: [ 6 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.112 * * * * [progress]: [ 7 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
0.112 * * * * [progress]: [ 8 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.112 * * * * [progress]: [ 9 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.112 * * * * [progress]: [ 10 / 46 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
0.112 * * * * [progress]: [ 11 / 46 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
0.112 * * * * [progress]: [ 12 / 46 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
0.112 * * * * [progress]: [ 13 / 46 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
0.112 * * * * [progress]: [ 14 / 46 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
0.112 * * * * [progress]: [ 15 / 46 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.112 * * * * [progress]: [ 16 / 46 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.112 * * * * [progress]: [ 17 / 46 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.113 * * * * [progress]: [ 18 / 46 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.113 * * * * [progress]: [ 19 / 46 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.113 * * * * [progress]: [ 20 / 46 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.113 * * * * [progress]: [ 21 / 46 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.113 * * * * [progress]: [ 22 / 46 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.113 * * * * [progress]: [ 23 / 46 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
0.113 * * * * [progress]: [ 24 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.113 * * * * [progress]: [ 25 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.113 * * * * [progress]: [ 26 / 46 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.113 * * * * [progress]: [ 27 / 46 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.113 * * * * [progress]: [ 28 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.113 * * * * [progress]: [ 29 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.113 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.113 * * * * [progress]: [ 31 / 46 ] simplifiying candidate #<alt (λ (N) (- (log1p (expm1 (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 32 / 46 ] simplifiying candidate #<alt (λ (N) (- (expm1 (log1p (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 33 / 46 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.113 * * * * [progress]: [ 34 / 46 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 35 / 46 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 36 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 37 / 46 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 38 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 39 / 46 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.113 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.113 * * * * [progress]: [ 41 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.113 * * * * [progress]: [ 42 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.113 * * * * [progress]: [ 43 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.113 * * * * [progress]: [ 44 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.113 * * * * [progress]: [ 45 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.114 * * * * [progress]: [ 46 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.114 * [simplify]: Simplifying:
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma 1 (atan (+ N 1)) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (expm1 (- (atan (+ N 1)) (atan N)))
  (log1p (- (atan (+ N 1)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- (+ N 1) N)
  (+ 1 (* (+ N 1) N))
  (/ (exp (atan (+ N 1))) (exp (atan N)))
  (log (- (atan (+ N 1)) (atan N)))
  (exp (- (atan (+ N 1)) (atan N)))
  (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N))))
  (cbrt (- (atan (+ N 1)) (atan N)))
  (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))
  (sqrt (- (atan (+ N 1)) (atan N)))
  (sqrt (- (atan (+ N 1)) (atan N)))
  (- (pow (atan (+ N 1)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
  (+ (atan (+ N 1)) (atan N))
  (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
  (- (atan (+ N 1)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ N 1)) (atan N)))
  (expm1 (atan (+ N 1)))
  (log1p (atan (+ N 1)))
  (log (atan (+ N 1)))
  (exp (atan (+ N 1)))
  (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1))))
  (cbrt (atan (+ N 1)))
  (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))
  (sqrt (atan (+ N 1)))
  (sqrt (atan (+ N 1)))
  (real->posit16 (atan (+ N 1)))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (- (atan (+ N 1)) (atan N))
  (atan (+ N 1))
  (atan (+ N 1))
  (atan (+ N 1))
0.115 * * [simplify]: iteration 1: (67 enodes)
0.134 * * [simplify]: iteration 2: (140 enodes)
0.175 * * [simplify]: iteration 3: (288 enodes)
0.319 * * [simplify]: iteration 4: (771 enodes)
0.729 * * [simplify]: Extracting #0: cost 30 inf + 0
0.729 * * [simplify]: Extracting #1: cost 166 inf + 2
0.731 * * [simplify]: Extracting #2: cost 391 inf + 788
0.737 * * [simplify]: Extracting #3: cost 315 inf + 57398
0.758 * * [simplify]: Extracting #4: cost 26 inf + 180843
0.787 * * [simplify]: Extracting #5: cost 1 inf + 191067
0.814 * * [simplify]: Extracting #6: cost 0 inf + 191294
0.838 * [simplify]: Simplified to:
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (- (atan (+ 1 N)) (atan N))
  0
  (expm1 (- (atan (+ 1 N)) (atan N)))
  (log1p (- (atan (+ 1 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1
  (+ 1 (fma N N N))
  (exp (- (atan (+ 1 N)) (atan N)))
  (log (- (atan (+ 1 N)) (atan N)))
  (exp (- (atan (+ 1 N)) (atan N)))
  (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
  (cbrt (- (atan (+ 1 N)) (atan N)))
  (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (sqrt (- (atan (+ 1 N)) (atan N)))
  (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N))))
  (- (atan N))
  (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
  (+ (atan (+ 1 N)) (atan N))
  (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan N))
  (real->posit16 (- (atan (+ 1 N)) (atan N)))
  (expm1 (atan (+ 1 N)))
  (log1p (atan (+ 1 N)))
  (log (atan (+ 1 N)))
  (exp (atan (+ 1 N)))
  (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
  (cbrt (atan (+ 1 N)))
  (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (sqrt (atan (+ 1 N)))
  (real->posit16 (atan (+ 1 N)))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (- (atan (+ 1 N)) (atan N))
  (atan (+ 1 N))
  (atan (+ 1 N))
  (atan (+ 1 N))
0.842 * * * [progress]: adding candidates to table
1.169 * * [progress]: iteration 2 / 4
1.169 * * * [progress]: picking best candidate
1.171 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (fma N N N))))>
1.171 * * * [progress]: localizing error
1.182 * * * [progress]: generating rewritten candidates
1.182 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.183 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
1.187 * * * [progress]: generating series expansions
1.188 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.188 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1))
1.188 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
1.188 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
1.188 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.188 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
1.188 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.188 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.189 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.189 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
1.189 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
1.189 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.189 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
1.190 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.190 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
1.190 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.190 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
1.190 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
1.191 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.191 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
1.191 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.191 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify 0 into 0
1.191 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
1.192 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
1.192 * [backup-simplify]: Simplify (+ 1 (fma N N N)) into (+ (fma N N N) 1)
1.192 * [approximate]: Taking taylor expansion of (+ (fma N N N) 1) in (N) around 0
1.192 * [taylor]: Taking taylor expansion of (+ (fma N N N) 1) in N
1.192 * [taylor]: Taking taylor expansion of (fma N N N) in N
1.192 * [taylor]: Rewrote expression to (+ (* N N) N)
1.192 * [taylor]: Taking taylor expansion of (* N N) in N
1.192 * [taylor]: Taking taylor expansion of N in N
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of N in N
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of N in N
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of 1 in N
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of (+ (fma N N N) 1) in N
1.192 * [taylor]: Taking taylor expansion of (fma N N N) in N
1.192 * [taylor]: Rewrote expression to (+ (* N N) N)
1.192 * [taylor]: Taking taylor expansion of (* N N) in N
1.192 * [taylor]: Taking taylor expansion of N in N
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of N in N
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of N in N
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 1 into 1
1.192 * [taylor]: Taking taylor expansion of 1 in N
1.192 * [backup-simplify]: Simplify 1 into 1
1.193 * [backup-simplify]: Simplify (* 0 0) into 0
1.194 * [backup-simplify]: Simplify (+ 0 0) into 0
1.194 * [backup-simplify]: Simplify (+ 0 1) into 1
1.194 * [backup-simplify]: Simplify 1 into 1
1.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.195 * [backup-simplify]: Simplify (+ 0 1) into 1
1.196 * [backup-simplify]: Simplify (+ 1 0) into 1
1.196 * [backup-simplify]: Simplify 1 into 1
1.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.197 * [backup-simplify]: Simplify (+ 1 0) into 1
1.198 * [backup-simplify]: Simplify (+ 1 0) into 1
1.198 * [backup-simplify]: Simplify 1 into 1
1.198 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
1.198 * [backup-simplify]: Simplify (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))) into (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)
1.198 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in (N) around 0
1.198 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in N
1.198 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (/ 1 N)) in N
1.198 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))
1.198 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
1.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.198 * [taylor]: Taking taylor expansion of N in N
1.198 * [backup-simplify]: Simplify 0 into 0
1.198 * [backup-simplify]: Simplify 1 into 1
1.199 * [backup-simplify]: Simplify (/ 1 1) into 1
1.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.199 * [taylor]: Taking taylor expansion of N in N
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [backup-simplify]: Simplify (/ 1 1) into 1
1.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.199 * [taylor]: Taking taylor expansion of N in N
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.200 * [backup-simplify]: Simplify (/ 1 1) into 1
1.200 * [taylor]: Taking taylor expansion of 1 in N
1.200 * [backup-simplify]: Simplify 1 into 1
1.200 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in N
1.200 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (/ 1 N)) in N
1.200 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))
1.200 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
1.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.200 * [taylor]: Taking taylor expansion of N in N
1.200 * [backup-simplify]: Simplify 0 into 0
1.200 * [backup-simplify]: Simplify 1 into 1
1.200 * [backup-simplify]: Simplify (/ 1 1) into 1
1.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.201 * [taylor]: Taking taylor expansion of N in N
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.201 * [backup-simplify]: Simplify (/ 1 1) into 1
1.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.201 * [taylor]: Taking taylor expansion of N in N
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.201 * [backup-simplify]: Simplify (/ 1 1) into 1
1.202 * [taylor]: Taking taylor expansion of 1 in N
1.202 * [backup-simplify]: Simplify 1 into 1
1.202 * [backup-simplify]: Simplify (* 1 1) into 1
1.202 * [backup-simplify]: Simplify (+ 1 0) into 1
1.203 * [backup-simplify]: Simplify (+ 1 0) into 1
1.203 * [backup-simplify]: Simplify 1 into 1
1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.205 * [backup-simplify]: Simplify (+ 0 1) into 1
1.205 * [backup-simplify]: Simplify (+ 1 0) into 1
1.205 * [backup-simplify]: Simplify 1 into 1
1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.207 * [backup-simplify]: Simplify (+ 0 0) into 0
1.207 * [backup-simplify]: Simplify (+ 0 1) into 1
1.207 * [backup-simplify]: Simplify 1 into 1
1.208 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
1.208 * [backup-simplify]: Simplify (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))) into (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)
1.208 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) in (N) around 0
1.208 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) in N
1.208 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) (/ -1 N)) in N
1.208 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) (/ -1 N))
1.208 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
1.208 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.208 * [taylor]: Taking taylor expansion of -1 in N
1.208 * [backup-simplify]: Simplify -1 into -1
1.208 * [taylor]: Taking taylor expansion of N in N
1.208 * [backup-simplify]: Simplify 0 into 0
1.208 * [backup-simplify]: Simplify 1 into 1
1.208 * [backup-simplify]: Simplify (/ -1 1) into -1
1.208 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.208 * [taylor]: Taking taylor expansion of -1 in N
1.208 * [backup-simplify]: Simplify -1 into -1
1.208 * [taylor]: Taking taylor expansion of N in N
1.208 * [backup-simplify]: Simplify 0 into 0
1.208 * [backup-simplify]: Simplify 1 into 1
1.209 * [backup-simplify]: Simplify (/ -1 1) into -1
1.209 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.209 * [taylor]: Taking taylor expansion of -1 in N
1.209 * [backup-simplify]: Simplify -1 into -1
1.209 * [taylor]: Taking taylor expansion of N in N
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 1 into 1
1.209 * [backup-simplify]: Simplify (/ -1 1) into -1
1.209 * [taylor]: Taking taylor expansion of 1 in N
1.209 * [backup-simplify]: Simplify 1 into 1
1.209 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) in N
1.209 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) (/ -1 N)) in N
1.209 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) (/ -1 N))
1.209 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
1.209 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.209 * [taylor]: Taking taylor expansion of -1 in N
1.209 * [backup-simplify]: Simplify -1 into -1
1.209 * [taylor]: Taking taylor expansion of N in N
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 1 into 1
1.210 * [backup-simplify]: Simplify (/ -1 1) into -1
1.210 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.210 * [taylor]: Taking taylor expansion of -1 in N
1.210 * [backup-simplify]: Simplify -1 into -1
1.210 * [taylor]: Taking taylor expansion of N in N
1.210 * [backup-simplify]: Simplify 0 into 0
1.210 * [backup-simplify]: Simplify 1 into 1
1.210 * [backup-simplify]: Simplify (/ -1 1) into -1
1.210 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.210 * [taylor]: Taking taylor expansion of -1 in N
1.210 * [backup-simplify]: Simplify -1 into -1
1.210 * [taylor]: Taking taylor expansion of N in N
1.210 * [backup-simplify]: Simplify 0 into 0
1.210 * [backup-simplify]: Simplify 1 into 1
1.211 * [backup-simplify]: Simplify (/ -1 1) into -1
1.211 * [taylor]: Taking taylor expansion of 1 in N
1.211 * [backup-simplify]: Simplify 1 into 1
1.211 * [backup-simplify]: Simplify (* -1 -1) into 1
1.211 * [backup-simplify]: Simplify (+ 1 0) into 1
1.211 * [backup-simplify]: Simplify (+ 1 0) into 1
1.211 * [backup-simplify]: Simplify 1 into 1
1.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.213 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.213 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.213 * [backup-simplify]: Simplify (+ -1 0) into -1
1.213 * [backup-simplify]: Simplify -1 into -1
1.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.216 * [backup-simplify]: Simplify (+ 0 0) into 0
1.216 * [backup-simplify]: Simplify (+ 0 1) into 1
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
1.217 * * * [progress]: simplifying candidates
1.217 * * * * [progress]: [ 1 / 35 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 2 / 35 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 3 / 35 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) 1))>
1.217 * * * * [progress]: [ 4 / 35 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 5 / 35 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 6 / 35 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 7 / 35 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 8 / 35 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 9 / 35 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (fma N N N)))))>
1.217 * * * * [progress]: [ 10 / 35 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 11 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 12 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 13 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (fma N N N))))>
1.217 * * * * [progress]: [ 14 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (sqrt 1) (sqrt 1) (fma N N N))))>
1.217 * * * * [progress]: [ 15 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma 1 1 (fma N N N))))>
1.217 * * * * [progress]: [ 16 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp 1) (exp (fma N N N))))))>
1.217 * * * * [progress]: [ 17 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ 1 (fma N N N)) 1)))>
1.217 * * * * [progress]: [ 18 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 19 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 20 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N)))) (cbrt (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 21 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ 1 (fma N N N)) (+ 1 (fma N N N))) (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 22 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (fma N N N))) (sqrt (+ 1 (fma N N N))))))>
1.217 * * * * [progress]: [ 23 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow 1 3) (pow (fma N N N) 3)) (+ (* 1 1) (- (* (fma N N N) (fma N N N)) (* 1 (fma N N N)))))))>
1.217 * * * * [progress]: [ 24 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ 1 (fma N N N)))))>
1.217 * * * * [progress]: [ 25 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* 1 1) (* (fma N N N) (fma N N N))) (- 1 (fma N N N)))))>
1.217 * * * * [progress]: [ 26 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ 1 (fma N N N)))))>
1.217 * * * * [progress]: [ 27 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ 1 (* N N)) N)))>
1.218 * * * * [progress]: [ 28 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (+ 1 (fma N N N))))))>
1.218 * * * * [progress]: [ 29 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.218 * * * * [progress]: [ 30 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.218 * * * * [progress]: [ 31 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.218 * * * * [progress]: [ 32 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.218 * * * * [progress]: [ 33 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.218 * * * * [progress]: [ 34 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.218 * * * * [progress]: [ 35 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.218 * [simplify]: Simplifying:
  (expm1 (atan2 1 (+ 1 (fma N N N))))
  (log1p (atan2 1 (+ 1 (fma N N N))))
  (log (atan2 1 (+ 1 (fma N N N))))
  (exp (atan2 1 (+ 1 (fma N N N))))
  (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))
  (cbrt (atan2 1 (+ 1 (fma N N N))))
  (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))))
  (sqrt (atan2 1 (+ 1 (fma N N N))))
  (sqrt (atan2 1 (+ 1 (fma N N N))))
  (real->posit16 (atan2 1 (+ 1 (fma N N N))))
  (expm1 (+ 1 (fma N N N)))
  (log1p (+ 1 (fma N N N)))
  (* (exp 1) (exp (fma N N N)))
  (log (+ 1 (fma N N N)))
  (exp (+ 1 (fma N N N)))
  (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))
  (cbrt (+ 1 (fma N N N)))
  (* (* (+ 1 (fma N N N)) (+ 1 (fma N N N))) (+ 1 (fma N N N)))
  (sqrt (+ 1 (fma N N N)))
  (sqrt (+ 1 (fma N N N)))
  (+ (pow 1 3) (pow (fma N N N) 3))
  (+ (* 1 1) (- (* (fma N N N) (fma N N N)) (* 1 (fma N N N))))
  (- (* 1 1) (* (fma N N N) (fma N N N)))
  (- 1 (fma N N N))
  (+ 1 (fma N N N))
  (+ 1 (* N N))
  (real->posit16 (+ 1 (fma N N N)))
  (atan2 1 (+ (fma N N N) 1))
  (atan2 1 (+ (fma N N N) 1))
  (atan2 1 (+ (fma N N N) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
1.218 * * [simplify]: iteration 1: (47 enodes)
1.233 * * [simplify]: iteration 2: (97 enodes)
1.274 * * [simplify]: iteration 3: (185 enodes)
1.343 * * [simplify]: iteration 4: (493 enodes)
2.254 * * [simplify]: Extracting #0: cost 25 inf + 0
2.255 * * [simplify]: Extracting #1: cost 240 inf + 0
2.263 * * [simplify]: Extracting #2: cost 703 inf + 13154
2.285 * * [simplify]: Extracting #3: cost 230 inf + 103571
2.334 * * [simplify]: Extracting #4: cost 15 inf + 151708
2.394 * * [simplify]: Extracting #5: cost 0 inf + 156558
2.444 * [simplify]: Simplified to:
  (expm1 (atan2 1 (+ 1 (fma N N N))))
  (log1p (atan2 1 (+ 1 (fma N N N))))
  (log (atan2 1 (+ 1 (fma N N N))))
  (exp (atan2 1 (+ 1 (fma N N N))))
  (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))
  (cbrt (atan2 1 (+ 1 (fma N N N))))
  (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))))
  (sqrt (atan2 1 (+ 1 (fma N N N))))
  (sqrt (atan2 1 (+ 1 (fma N N N))))
  (real->posit16 (atan2 1 (+ 1 (fma N N N))))
  (expm1 (+ 1 (fma N N N)))
  (log1p (+ 1 (fma N N N)))
  (* E (exp (fma N N N)))
  (log1p (fma N N N))
  (* E (exp (fma N N N)))
  (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))
  (cbrt (+ 1 (fma N N N)))
  (* (* (+ 1 (fma N N N)) (+ 1 (fma N N N))) (+ 1 (fma N N N)))
  (sqrt (+ 1 (fma N N N)))
  (sqrt (+ 1 (fma N N N)))
  (fma (fma N N N) (* (fma N N N) (fma N N N)) 1)
  (- (fma (fma N N N) (fma N N N) 1) (fma N N N))
  (- 1 (* (fma N N N) (fma N N N)))
  (- 1 (fma N N N))
  (+ 1 (fma N N N))
  (fma N N 1)
  (real->posit16 (+ 1 (fma N N N)))
  (atan2 1 (+ 1 (fma N N N)))
  (atan2 1 (+ 1 (fma N N N)))
  (atan2 1 (+ 1 (fma N N N)))
  (+ 1 (fma N N N))
  (+ 1 (fma N N N))
  (+ 1 (fma N N N))
2.445 * * * [progress]: adding candidates to table
2.699 * * [progress]: iteration 3 / 4
2.699 * * * [progress]: picking best candidate
2.714 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))>
2.714 * * * [progress]: localizing error
2.726 * * * [progress]: generating rewritten candidates
2.726 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.726 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.731 * * * [progress]: generating series expansions
2.731 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.731 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N 1) N)) into (atan2 1 (+ N (fma N N 1)))
2.731 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0
2.731 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N
2.731 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.731 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N
2.731 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.732 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.732 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) 1) (/ 1 N))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.732 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0
2.732 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N
2.732 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.732 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N
2.732 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.732 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.732 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1)))
2.733 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) 1) (/ 1 (- N)))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.733 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0
2.733 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N
2.733 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.733 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N
2.733 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.733 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1)))
2.734 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.734 * [backup-simplify]: Simplify (+ (fma N N 1) N) into (+ N (fma N N 1))
2.734 * [approximate]: Taking taylor expansion of (+ N (fma N N 1)) in (N) around 0
2.734 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N
2.734 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of (fma N N 1) in N
2.734 * [taylor]: Rewrote expression to (+ (* N N) 1)
2.734 * [taylor]: Taking taylor expansion of (* N N) in N
2.734 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of 1 in N
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N
2.734 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of (fma N N 1) in N
2.734 * [taylor]: Rewrote expression to (+ (* N N) 1)
2.734 * [taylor]: Taking taylor expansion of (* N N) in N
2.734 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of N in N
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [taylor]: Taking taylor expansion of 1 in N
2.734 * [backup-simplify]: Simplify 1 into 1
2.735 * [backup-simplify]: Simplify (* 0 0) into 0
2.735 * [backup-simplify]: Simplify (+ 0 1) into 1
2.735 * [backup-simplify]: Simplify (+ 0 1) into 1
2.735 * [backup-simplify]: Simplify 1 into 1
2.736 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (+ 1 0) into 1
2.736 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.737 * [backup-simplify]: Simplify (+ 1 0) into 1
2.737 * [backup-simplify]: Simplify (+ 0 1) into 1
2.737 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.737 * [backup-simplify]: Simplify (+ (fma (/ 1 N) (/ 1 N) 1) (/ 1 N)) into (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))
2.737 * [approximate]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in (N) around 0
2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N
2.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.738 * [taylor]: Taking taylor expansion of N in N
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
2.738 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
2.738 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
2.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.738 * [taylor]: Taking taylor expansion of N in N
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.738 * [taylor]: Taking taylor expansion of N in N
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.739 * [taylor]: Taking taylor expansion of 1 in N
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N
2.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.739 * [taylor]: Taking taylor expansion of N in N
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [backup-simplify]: Simplify (/ 1 1) into 1
2.739 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
2.739 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
2.739 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
2.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.739 * [taylor]: Taking taylor expansion of N in N
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [backup-simplify]: Simplify (/ 1 1) into 1
2.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.739 * [taylor]: Taking taylor expansion of N in N
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (/ 1 1) into 1
2.740 * [taylor]: Taking taylor expansion of 1 in N
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (* 1 1) into 1
2.740 * [backup-simplify]: Simplify (+ 1 0) into 1
2.740 * [backup-simplify]: Simplify (+ 0 1) into 1
2.740 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (+ 1 0) into 1
2.742 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.746 * [backup-simplify]: Simplify (+ 0 1) into 1
2.746 * [backup-simplify]: Simplify (+ 0 1) into 1
2.746 * [backup-simplify]: Simplify 1 into 1
2.746 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.747 * [backup-simplify]: Simplify (+ (fma (/ 1 (- N)) (/ 1 (- N)) 1) (/ 1 (- N))) into (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))
2.747 * [approximate]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in (N) around 0
2.747 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N
2.747 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
2.747 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
2.747 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
2.747 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.747 * [taylor]: Taking taylor expansion of -1 in N
2.747 * [backup-simplify]: Simplify -1 into -1
2.747 * [taylor]: Taking taylor expansion of N in N
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (/ -1 1) into -1
2.748 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.748 * [taylor]: Taking taylor expansion of -1 in N
2.748 * [backup-simplify]: Simplify -1 into -1
2.748 * [taylor]: Taking taylor expansion of N in N
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (/ -1 1) into -1
2.748 * [taylor]: Taking taylor expansion of 1 in N
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.749 * [taylor]: Taking taylor expansion of N in N
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [backup-simplify]: Simplify (/ 1 1) into 1
2.749 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N
2.749 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
2.749 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
2.749 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
2.749 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.749 * [taylor]: Taking taylor expansion of -1 in N
2.749 * [backup-simplify]: Simplify -1 into -1
2.749 * [taylor]: Taking taylor expansion of N in N
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (/ -1 1) into -1
2.750 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.750 * [taylor]: Taking taylor expansion of -1 in N
2.750 * [backup-simplify]: Simplify -1 into -1
2.750 * [taylor]: Taking taylor expansion of N in N
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (/ -1 1) into -1
2.750 * [taylor]: Taking taylor expansion of 1 in N
2.750 * [backup-simplify]: Simplify 1 into 1
2.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.751 * [taylor]: Taking taylor expansion of N in N
2.751 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify (/ 1 1) into 1
2.751 * [backup-simplify]: Simplify (* -1 -1) into 1
2.752 * [backup-simplify]: Simplify (+ 1 0) into 1
2.752 * [backup-simplify]: Simplify (+ 1 0) into 1
2.752 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.755 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.755 * [backup-simplify]: Simplify (+ 0 0) into 0
2.756 * [backup-simplify]: Simplify (- 1) into -1
2.756 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.756 * [backup-simplify]: Simplify -1 into -1
2.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.760 * [backup-simplify]: Simplify (+ 0 1) into 1
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (- 0) into 0
2.761 * [backup-simplify]: Simplify (+ 1 0) into 1
2.761 * [backup-simplify]: Simplify 1 into 1
2.762 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.762 * * * [progress]: simplifying candidates
2.762 * * * * [progress]: [ 1 / 35 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ (fma N N 1) N)))))>
2.762 * * * * [progress]: [ 2 / 35 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ (fma N N 1) N)))))>
2.762 * * * * [progress]: [ 3 / 35 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ (fma N N 1) N)) 1))>
2.762 * * * * [progress]: [ 4 / 35 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ (fma N N 1) N)))))>
2.762 * * * * [progress]: [ 5 / 35 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ (fma N N 1) N)))))>
2.762 * * * * [progress]: [ 6 / 35 ] simplifiying candidate #<alt (λ (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)))))>
2.762 * * * * [progress]: [ 7 / 35 ] simplifiying candidate #<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)))))>
2.762 * * * * [progress]: [ 8 / 35 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N 1) N))) (sqrt (atan2 1 (+ (fma N N 1) N)))))>
2.762 * * * * [progress]: [ 9 / 35 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ (fma N N 1) N))))>
2.762 * * * * [progress]: [ 10 / 35 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ (fma N N 1) N)))))>
2.762 * * * * [progress]: [ 11 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 12 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 13 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
2.763 * * * * [progress]: [ 14 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (sqrt (fma N N 1)) (sqrt (fma N N 1)) N)))>
2.763 * * * * [progress]: [ 15 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma 1 (fma N N 1) N)))>
2.763 * * * * [progress]: [ 16 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp (fma N N 1)) (exp N)))))>
2.763 * * * * [progress]: [ 17 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ (fma N N 1) N) 1)))>
2.763 * * * * [progress]: [ 18 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 19 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 20 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ (fma N N 1) N)) (cbrt (+ (fma N N 1) N))) (cbrt (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 21 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ (fma N N 1) N) (+ (fma N N 1) N)) (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 22 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ (fma N N 1) N)) (sqrt (+ (fma N N 1) N)))))>
2.763 * * * * [progress]: [ 23 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow (fma N N 1) 3) (pow N 3)) (+ (* (fma N N 1) (fma N N 1)) (- (* N N) (* (fma N N 1) N))))))>
2.763 * * * * [progress]: [ 24 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ (fma N N 1) N))))>
2.763 * * * * [progress]: [ 25 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* (fma N N 1) (fma N N 1)) (* N N)) (- (fma N N 1) N))))>
2.763 * * * * [progress]: [ 26 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ (fma N N 1) N))))>
2.763 * * * * [progress]: [ 27 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N N) (+ 1 N))))>
2.763 * * * * [progress]: [ 28 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (+ (fma N N 1) N)))))>
2.764 * * * * [progress]: [ 29 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.764 * * * * [progress]: [ 30 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.764 * * * * [progress]: [ 31 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.764 * * * * [progress]: [ 32 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.764 * * * * [progress]: [ 33 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.764 * * * * [progress]: [ 34 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.764 * * * * [progress]: [ 35 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.764 * [simplify]: Simplifying:
  (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)))
  (expm1 (+ (fma N N 1) N))
  (log1p (+ (fma N N 1) N))
  (* (exp (fma N N 1)) (exp N))
  (log (+ (fma N N 1) N))
  (exp (+ (fma N N 1) N))
  (* (cbrt (+ (fma N N 1) N)) (cbrt (+ (fma N N 1) N)))
  (cbrt (+ (fma N N 1) N))
  (* (* (+ (fma N N 1) N) (+ (fma N N 1) N)) (+ (fma N N 1) N))
  (sqrt (+ (fma N N 1) N))
  (sqrt (+ (fma N N 1) N))
  (+ (pow (fma N N 1) 3) (pow N 3))
  (+ (* (fma N N 1) (fma N N 1)) (- (* N N) (* (fma N N 1) N)))
  (- (* (fma N N 1) (fma N N 1)) (* N N))
  (- (fma N N 1) N)
  (+ (fma N N 1) N)
  (+ 1 N)
  (real->posit16 (+ (fma N N 1) N))
  (atan2 1 (+ N (fma N N 1)))
  (atan2 1 (+ N (fma N N 1)))
  (atan2 1 (+ N (fma N N 1)))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
  (+ N (+ (pow N 2) 1))
2.765 * * [simplify]: iteration 1: (46 enodes)
2.778 * * [simplify]: iteration 2: (103 enodes)
2.803 * * [simplify]: iteration 3: (319 enodes)
3.162 * * [simplify]: iteration 4: (1136 enodes)
4.947 * * [simplify]: Extracting #0: cost 25 inf + 0
4.948 * * [simplify]: Extracting #1: cost 236 inf + 0
4.953 * * [simplify]: Extracting #2: cost 765 inf + 12009
4.979 * * [simplify]: Extracting #3: cost 313 inf + 106802
5.026 * * [simplify]: Extracting #4: cost 20 inf + 169081
5.074 * * [simplify]: Extracting #5: cost 5 inf + 173979
5.124 * * [simplify]: Extracting #6: cost 0 inf + 175733
5.174 * [simplify]: Simplified to:
  (expm1 (atan2 1 (+ N (fma N N 1))))
  (log1p (atan2 1 (+ N (fma N N 1))))
  (log (atan2 1 (+ N (fma N N 1))))
  (exp (atan2 1 (+ N (fma N N 1))))
  (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))
  (cbrt (atan2 1 (+ N (fma N N 1))))
  (* (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1))))
  (sqrt (atan2 1 (+ N (fma N N 1))))
  (sqrt (atan2 1 (+ N (fma N N 1))))
  (real->posit16 (atan2 1 (+ N (fma N N 1))))
  (expm1 (+ N (fma N N 1)))
  (log1p (+ N (fma N N 1)))
  (exp (+ N (fma N N 1)))
  (log1p (fma N N N))
  (exp (+ N (fma N N 1)))
  (* (cbrt (+ N (fma N N 1))) (cbrt (+ N (fma N N 1))))
  (cbrt (+ N (fma N N 1)))
  (* (+ N (fma N N 1)) (* (+ N (fma N N 1)) (+ N (fma N N 1))))
  (sqrt (+ N (fma N N 1)))
  (sqrt (+ N (fma N N 1)))
  (fma N (* N N) (* (fma N N 1) (* (fma N N 1) (fma N N 1))))
  (fma (- N (fma N N 1)) N (* (fma N N 1) (fma N N 1)))
  (* (+ N (fma N N 1)) (- (fma N N 1) N))
  (- (fma N N 1) N)
  (+ N (fma N N 1))
  (+ N 1)
  (real->posit16 (+ N (fma N N 1)))
  (atan2 1 (+ N (fma N N 1)))
  (atan2 1 (+ N (fma N N 1)))
  (atan2 1 (+ N (fma N N 1)))
  (+ N (fma N N 1))
  (+ N (fma N N 1))
  (+ N (fma N N 1))
5.175 * * * [progress]: adding candidates to table
5.374 * * [progress]: iteration 4 / 4
5.374 * * * [progress]: picking best candidate
5.381 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.381 * * * [progress]: localizing error
5.398 * * * [progress]: generating rewritten candidates
5.398 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
5.399 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
5.400 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
5.400 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.401 * * * [progress]: generating series expansions
5.401 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
5.401 * [backup-simplify]: Simplify (cbrt (fma N N 1)) into (pow (fma N N 1) 1/3)
5.401 * [approximate]: Taking taylor expansion of (pow (fma N N 1) 1/3) in (N) around 0
5.401 * [taylor]: Taking taylor expansion of (pow (fma N N 1) 1/3) in N
5.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N N 1)))) in N
5.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N N 1))) in N
5.401 * [taylor]: Taking taylor expansion of 1/3 in N
5.401 * [backup-simplify]: Simplify 1/3 into 1/3
5.401 * [taylor]: Taking taylor expansion of (log (fma N N 1)) in N
5.401 * [taylor]: Taking taylor expansion of (fma N N 1) in N
5.401 * [taylor]: Rewrote expression to (+ (* N N) 1)
5.401 * [taylor]: Taking taylor expansion of (* N N) in N
5.401 * [taylor]: Taking taylor expansion of N in N
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 1 into 1
5.401 * [taylor]: Taking taylor expansion of N in N
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 1 into 1
5.401 * [taylor]: Taking taylor expansion of 1 in N
5.401 * [backup-simplify]: Simplify 1 into 1
5.402 * [backup-simplify]: Simplify (* 0 0) into 0
5.402 * [backup-simplify]: Simplify (+ 0 1) into 1
5.402 * [backup-simplify]: Simplify (log 1) into 0
5.403 * [backup-simplify]: Simplify (* 1/3 0) into 0
5.403 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.403 * [backup-simplify]: Simplify (+ 0 0) into 0
5.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
5.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.405 * [backup-simplify]: Simplify (+ 1 0) into 1
5.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.407 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3
5.407 * [backup-simplify]: Simplify (exp 0) into 1
5.407 * [taylor]: Taking taylor expansion of (pow (fma N N 1) 1/3) in N
5.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N N 1)))) in N
5.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N N 1))) in N
5.407 * [taylor]: Taking taylor expansion of 1/3 in N
5.407 * [backup-simplify]: Simplify 1/3 into 1/3
5.407 * [taylor]: Taking taylor expansion of (log (fma N N 1)) in N
5.408 * [taylor]: Taking taylor expansion of (fma N N 1) in N
5.408 * [taylor]: Rewrote expression to (+ (* N N) 1)
5.408 * [taylor]: Taking taylor expansion of (* N N) in N
5.408 * [taylor]: Taking taylor expansion of N in N
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 1 into 1
5.408 * [taylor]: Taking taylor expansion of N in N
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 1 into 1
5.408 * [taylor]: Taking taylor expansion of 1 in N
5.408 * [backup-simplify]: Simplify 1 into 1
5.408 * [backup-simplify]: Simplify (* 0 0) into 0
5.408 * [backup-simplify]: Simplify (+ 0 1) into 1
5.408 * [backup-simplify]: Simplify (log 1) into 0
5.409 * [backup-simplify]: Simplify (* 1/3 0) into 0
5.409 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.409 * [backup-simplify]: Simplify (+ 0 0) into 0
5.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
5.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.414 * [backup-simplify]: Simplify (+ 1 0) into 1
5.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.416 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3
5.416 * [backup-simplify]: Simplify (exp 0) into 1
5.417 * [backup-simplify]: Simplify 1 into 1
5.417 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
5.417 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into 1/3
5.418 * [backup-simplify]: Simplify 1/3 into 1/3
5.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.419 * [backup-simplify]: Simplify (+ 0 0) into 0
5.422 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
5.424 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.424 * [backup-simplify]: Simplify 0 into 0
5.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.425 * [backup-simplify]: Simplify (+ 0 0) into 0
5.431 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.432 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into -1/6
5.434 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
5.434 * [backup-simplify]: Simplify -1/9 into -1/9
5.435 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 4)) (+ (* 1/3 (pow N 2)) 1)) into (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))
5.435 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (/ 1 N) 1)) into (pow (fma (/ 1 N) (/ 1 N) 1) 1/3)
5.435 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in (N) around 0
5.435 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in N
5.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1)))) in N
5.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1))) in N
5.435 * [taylor]: Taking taylor expansion of 1/3 in N
5.435 * [backup-simplify]: Simplify 1/3 into 1/3
5.435 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) 1)) in N
5.435 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
5.435 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
5.435 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
5.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.435 * [taylor]: Taking taylor expansion of N in N
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [backup-simplify]: Simplify 1 into 1
5.435 * [backup-simplify]: Simplify (/ 1 1) into 1
5.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.435 * [taylor]: Taking taylor expansion of N in N
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [backup-simplify]: Simplify 1 into 1
5.436 * [backup-simplify]: Simplify (/ 1 1) into 1
5.436 * [taylor]: Taking taylor expansion of 1 in N
5.436 * [backup-simplify]: Simplify 1 into 1
5.436 * [backup-simplify]: Simplify (* 1 1) into 1
5.436 * [backup-simplify]: Simplify (+ 1 0) into 1
5.436 * [backup-simplify]: Simplify (log 1) into 0
5.437 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.437 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.437 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.437 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in N
5.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1)))) in N
5.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1))) in N
5.437 * [taylor]: Taking taylor expansion of 1/3 in N
5.437 * [backup-simplify]: Simplify 1/3 into 1/3
5.437 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) 1)) in N
5.437 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
5.437 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
5.437 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
5.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.437 * [taylor]: Taking taylor expansion of N in N
5.437 * [backup-simplify]: Simplify 0 into 0
5.437 * [backup-simplify]: Simplify 1 into 1
5.437 * [backup-simplify]: Simplify (/ 1 1) into 1
5.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.437 * [taylor]: Taking taylor expansion of N in N
5.437 * [backup-simplify]: Simplify 0 into 0
5.437 * [backup-simplify]: Simplify 1 into 1
5.438 * [backup-simplify]: Simplify (/ 1 1) into 1
5.438 * [taylor]: Taking taylor expansion of 1 in N
5.438 * [backup-simplify]: Simplify 1 into 1
5.438 * [backup-simplify]: Simplify (* 1 1) into 1
5.438 * [backup-simplify]: Simplify (+ 1 0) into 1
5.438 * [backup-simplify]: Simplify (log 1) into 0
5.439 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.439 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.439 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.439 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.441 * [backup-simplify]: Simplify (+ 0 0) into 0
5.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.442 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.442 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
5.442 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.443 * [backup-simplify]: Simplify 0 into 0
5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.444 * [backup-simplify]: Simplify (+ 0 1) into 1
5.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.448 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.449 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 1/3
5.450 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.450 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.452 * [backup-simplify]: Simplify (+ 0 0) into 0
5.454 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.455 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
5.457 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.457 * [backup-simplify]: Simplify 0 into 0
5.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.459 * [backup-simplify]: Simplify (+ 0 0) into 0
5.464 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.465 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.466 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6)
5.469 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.469 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.469 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
5.469 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (/ 1 (- N)) 1)) into (pow (fma (/ -1 N) (/ -1 N) 1) 1/3)
5.469 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in (N) around 0
5.469 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in N
5.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1)))) in N
5.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1))) in N
5.469 * [taylor]: Taking taylor expansion of 1/3 in N
5.469 * [backup-simplify]: Simplify 1/3 into 1/3
5.469 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (/ -1 N) 1)) in N
5.469 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
5.469 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
5.469 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
5.469 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.469 * [taylor]: Taking taylor expansion of -1 in N
5.469 * [backup-simplify]: Simplify -1 into -1
5.469 * [taylor]: Taking taylor expansion of N in N
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.470 * [backup-simplify]: Simplify (/ -1 1) into -1
5.470 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.470 * [taylor]: Taking taylor expansion of -1 in N
5.470 * [backup-simplify]: Simplify -1 into -1
5.470 * [taylor]: Taking taylor expansion of N in N
5.470 * [backup-simplify]: Simplify 0 into 0
5.470 * [backup-simplify]: Simplify 1 into 1
5.470 * [backup-simplify]: Simplify (/ -1 1) into -1
5.470 * [taylor]: Taking taylor expansion of 1 in N
5.470 * [backup-simplify]: Simplify 1 into 1
5.471 * [backup-simplify]: Simplify (* -1 -1) into 1
5.471 * [backup-simplify]: Simplify (+ 1 0) into 1
5.471 * [backup-simplify]: Simplify (log 1) into 0
5.472 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.472 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.472 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.472 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in N
5.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1)))) in N
5.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1))) in N
5.472 * [taylor]: Taking taylor expansion of 1/3 in N
5.472 * [backup-simplify]: Simplify 1/3 into 1/3
5.472 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (/ -1 N) 1)) in N
5.472 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
5.472 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
5.472 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
5.472 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.472 * [taylor]: Taking taylor expansion of -1 in N
5.472 * [backup-simplify]: Simplify -1 into -1
5.472 * [taylor]: Taking taylor expansion of N in N
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 1 into 1
5.472 * [backup-simplify]: Simplify (/ -1 1) into -1
5.472 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.472 * [taylor]: Taking taylor expansion of -1 in N
5.472 * [backup-simplify]: Simplify -1 into -1
5.472 * [taylor]: Taking taylor expansion of N in N
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 1 into 1
5.473 * [backup-simplify]: Simplify (/ -1 1) into -1
5.473 * [taylor]: Taking taylor expansion of 1 in N
5.473 * [backup-simplify]: Simplify 1 into 1
5.473 * [backup-simplify]: Simplify (* -1 -1) into 1
5.473 * [backup-simplify]: Simplify (+ 1 0) into 1
5.473 * [backup-simplify]: Simplify (log 1) into 0
5.474 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.474 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.474 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.474 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.475 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.476 * [backup-simplify]: Simplify (+ 0 0) into 0
5.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.477 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
5.478 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.478 * [backup-simplify]: Simplify 0 into 0
5.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.479 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.480 * [backup-simplify]: Simplify (+ 0 1) into 1
5.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.482 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.482 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 1/3
5.483 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.483 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.485 * [backup-simplify]: Simplify (+ 0 0) into 0
5.488 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.489 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
5.491 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.491 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.500 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.502 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.503 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6)
5.506 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.506 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.506 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
5.506 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
5.506 * [backup-simplify]: Simplify (cbrt (fma N N 1)) into (pow (fma N N 1) 1/3)
5.506 * [approximate]: Taking taylor expansion of (pow (fma N N 1) 1/3) in (N) around 0
5.506 * [taylor]: Taking taylor expansion of (pow (fma N N 1) 1/3) in N
5.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N N 1)))) in N
5.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N N 1))) in N
5.507 * [taylor]: Taking taylor expansion of 1/3 in N
5.507 * [backup-simplify]: Simplify 1/3 into 1/3
5.507 * [taylor]: Taking taylor expansion of (log (fma N N 1)) in N
5.507 * [taylor]: Taking taylor expansion of (fma N N 1) in N
5.507 * [taylor]: Rewrote expression to (+ (* N N) 1)
5.507 * [taylor]: Taking taylor expansion of (* N N) in N
5.507 * [taylor]: Taking taylor expansion of N in N
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [taylor]: Taking taylor expansion of N in N
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [taylor]: Taking taylor expansion of 1 in N
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (* 0 0) into 0
5.507 * [backup-simplify]: Simplify (+ 0 1) into 1
5.508 * [backup-simplify]: Simplify (log 1) into 0
5.508 * [backup-simplify]: Simplify (* 1/3 0) into 0
5.508 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.508 * [backup-simplify]: Simplify (+ 0 0) into 0
5.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
5.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.510 * [backup-simplify]: Simplify (+ 1 0) into 1
5.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.512 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3
5.512 * [backup-simplify]: Simplify (exp 0) into 1
5.512 * [taylor]: Taking taylor expansion of (pow (fma N N 1) 1/3) in N
5.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N N 1)))) in N
5.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N N 1))) in N
5.512 * [taylor]: Taking taylor expansion of 1/3 in N
5.512 * [backup-simplify]: Simplify 1/3 into 1/3
5.512 * [taylor]: Taking taylor expansion of (log (fma N N 1)) in N
5.512 * [taylor]: Taking taylor expansion of (fma N N 1) in N
5.513 * [taylor]: Rewrote expression to (+ (* N N) 1)
5.513 * [taylor]: Taking taylor expansion of (* N N) in N
5.513 * [taylor]: Taking taylor expansion of N in N
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify 1 into 1
5.513 * [taylor]: Taking taylor expansion of N in N
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify 1 into 1
5.513 * [taylor]: Taking taylor expansion of 1 in N
5.513 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify (* 0 0) into 0
5.513 * [backup-simplify]: Simplify (+ 0 1) into 1
5.513 * [backup-simplify]: Simplify (log 1) into 0
5.514 * [backup-simplify]: Simplify (* 1/3 0) into 0
5.514 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.514 * [backup-simplify]: Simplify (+ 0 0) into 0
5.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
5.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.516 * [backup-simplify]: Simplify (+ 1 0) into 1
5.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.518 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3
5.518 * [backup-simplify]: Simplify (exp 0) into 1
5.518 * [backup-simplify]: Simplify 1 into 1
5.519 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
5.519 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into 1/3
5.520 * [backup-simplify]: Simplify 1/3 into 1/3
5.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 0) into 0
5.523 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.524 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
5.525 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.527 * [backup-simplify]: Simplify (+ 0 0) into 0
5.532 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.533 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into -1/6
5.536 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
5.536 * [backup-simplify]: Simplify -1/9 into -1/9
5.536 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 4)) (+ (* 1/3 (pow N 2)) 1)) into (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))
5.536 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (/ 1 N) 1)) into (pow (fma (/ 1 N) (/ 1 N) 1) 1/3)
5.536 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in (N) around 0
5.536 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in N
5.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1)))) in N
5.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1))) in N
5.536 * [taylor]: Taking taylor expansion of 1/3 in N
5.536 * [backup-simplify]: Simplify 1/3 into 1/3
5.536 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) 1)) in N
5.536 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
5.536 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
5.536 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
5.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.536 * [taylor]: Taking taylor expansion of N in N
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 1 into 1
5.536 * [backup-simplify]: Simplify (/ 1 1) into 1
5.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.536 * [taylor]: Taking taylor expansion of N in N
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 1 into 1
5.537 * [backup-simplify]: Simplify (/ 1 1) into 1
5.537 * [taylor]: Taking taylor expansion of 1 in N
5.537 * [backup-simplify]: Simplify 1 into 1
5.537 * [backup-simplify]: Simplify (* 1 1) into 1
5.537 * [backup-simplify]: Simplify (+ 1 0) into 1
5.538 * [backup-simplify]: Simplify (log 1) into 0
5.538 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.538 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.538 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.538 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in N
5.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1)))) in N
5.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1))) in N
5.538 * [taylor]: Taking taylor expansion of 1/3 in N
5.538 * [backup-simplify]: Simplify 1/3 into 1/3
5.538 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) 1)) in N
5.538 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
5.538 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
5.538 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
5.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.538 * [taylor]: Taking taylor expansion of N in N
5.538 * [backup-simplify]: Simplify 0 into 0
5.538 * [backup-simplify]: Simplify 1 into 1
5.538 * [backup-simplify]: Simplify (/ 1 1) into 1
5.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.538 * [taylor]: Taking taylor expansion of N in N
5.538 * [backup-simplify]: Simplify 0 into 0
5.538 * [backup-simplify]: Simplify 1 into 1
5.539 * [backup-simplify]: Simplify (/ 1 1) into 1
5.539 * [taylor]: Taking taylor expansion of 1 in N
5.539 * [backup-simplify]: Simplify 1 into 1
5.539 * [backup-simplify]: Simplify (* 1 1) into 1
5.539 * [backup-simplify]: Simplify (+ 1 0) into 1
5.539 * [backup-simplify]: Simplify (log 1) into 0
5.540 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.540 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.540 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.540 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.542 * [backup-simplify]: Simplify (+ 0 0) into 0
5.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.543 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
5.543 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.543 * [backup-simplify]: Simplify 0 into 0
5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.545 * [backup-simplify]: Simplify (+ 0 1) into 1
5.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.547 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.548 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 1/3
5.549 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.549 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.551 * [backup-simplify]: Simplify (+ 0 0) into 0
5.553 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.554 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
5.556 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.558 * [backup-simplify]: Simplify (+ 0 0) into 0
5.564 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.564 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.565 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6)
5.568 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.568 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.568 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
5.568 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (/ 1 (- N)) 1)) into (pow (fma (/ -1 N) (/ -1 N) 1) 1/3)
5.568 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in (N) around 0
5.568 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in N
5.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1)))) in N
5.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1))) in N
5.568 * [taylor]: Taking taylor expansion of 1/3 in N
5.568 * [backup-simplify]: Simplify 1/3 into 1/3
5.568 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (/ -1 N) 1)) in N
5.568 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
5.568 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
5.568 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
5.568 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.568 * [taylor]: Taking taylor expansion of -1 in N
5.568 * [backup-simplify]: Simplify -1 into -1
5.569 * [taylor]: Taking taylor expansion of N in N
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify 1 into 1
5.569 * [backup-simplify]: Simplify (/ -1 1) into -1
5.569 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.569 * [taylor]: Taking taylor expansion of -1 in N
5.569 * [backup-simplify]: Simplify -1 into -1
5.569 * [taylor]: Taking taylor expansion of N in N
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify 1 into 1
5.569 * [backup-simplify]: Simplify (/ -1 1) into -1
5.569 * [taylor]: Taking taylor expansion of 1 in N
5.569 * [backup-simplify]: Simplify 1 into 1
5.569 * [backup-simplify]: Simplify (* -1 -1) into 1
5.570 * [backup-simplify]: Simplify (+ 1 0) into 1
5.570 * [backup-simplify]: Simplify (log 1) into 0
5.570 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.570 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.570 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.570 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in N
5.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1)))) in N
5.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1))) in N
5.570 * [taylor]: Taking taylor expansion of 1/3 in N
5.570 * [backup-simplify]: Simplify 1/3 into 1/3
5.570 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (/ -1 N) 1)) in N
5.570 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
5.571 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
5.571 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
5.571 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.571 * [taylor]: Taking taylor expansion of -1 in N
5.571 * [backup-simplify]: Simplify -1 into -1
5.571 * [taylor]: Taking taylor expansion of N in N
5.571 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify 1 into 1
5.571 * [backup-simplify]: Simplify (/ -1 1) into -1
5.571 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.571 * [taylor]: Taking taylor expansion of -1 in N
5.571 * [backup-simplify]: Simplify -1 into -1
5.571 * [taylor]: Taking taylor expansion of N in N
5.571 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify 1 into 1
5.571 * [backup-simplify]: Simplify (/ -1 1) into -1
5.571 * [taylor]: Taking taylor expansion of 1 in N
5.571 * [backup-simplify]: Simplify 1 into 1
5.572 * [backup-simplify]: Simplify (* -1 -1) into 1
5.572 * [backup-simplify]: Simplify (+ 1 0) into 1
5.572 * [backup-simplify]: Simplify (log 1) into 0
5.572 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.572 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.572 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.573 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.574 * [backup-simplify]: Simplify (+ 0 0) into 0
5.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.575 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.576 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
5.576 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.576 * [backup-simplify]: Simplify 0 into 0
5.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.578 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.578 * [backup-simplify]: Simplify (+ 0 1) into 1
5.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.580 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.581 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 1/3
5.581 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.581 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.585 * [backup-simplify]: Simplify (+ 0 0) into 0
5.587 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.588 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
5.590 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.590 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.592 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.592 * [backup-simplify]: Simplify (+ 0 0) into 0
5.598 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.598 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.599 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6)
5.602 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.602 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.602 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
5.603 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
5.603 * [backup-simplify]: Simplify (cbrt (fma N N 1)) into (pow (fma N N 1) 1/3)
5.603 * [approximate]: Taking taylor expansion of (pow (fma N N 1) 1/3) in (N) around 0
5.603 * [taylor]: Taking taylor expansion of (pow (fma N N 1) 1/3) in N
5.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N N 1)))) in N
5.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N N 1))) in N
5.603 * [taylor]: Taking taylor expansion of 1/3 in N
5.603 * [backup-simplify]: Simplify 1/3 into 1/3
5.603 * [taylor]: Taking taylor expansion of (log (fma N N 1)) in N
5.603 * [taylor]: Taking taylor expansion of (fma N N 1) in N
5.603 * [taylor]: Rewrote expression to (+ (* N N) 1)
5.603 * [taylor]: Taking taylor expansion of (* N N) in N
5.603 * [taylor]: Taking taylor expansion of N in N
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 1 into 1
5.603 * [taylor]: Taking taylor expansion of N in N
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 1 into 1
5.603 * [taylor]: Taking taylor expansion of 1 in N
5.603 * [backup-simplify]: Simplify 1 into 1
5.603 * [backup-simplify]: Simplify (* 0 0) into 0
5.604 * [backup-simplify]: Simplify (+ 0 1) into 1
5.604 * [backup-simplify]: Simplify (log 1) into 0
5.604 * [backup-simplify]: Simplify (* 1/3 0) into 0
5.604 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.605 * [backup-simplify]: Simplify (+ 0 0) into 0
5.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
5.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.607 * [backup-simplify]: Simplify (+ 1 0) into 1
5.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.609 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3
5.609 * [backup-simplify]: Simplify (exp 0) into 1
5.609 * [taylor]: Taking taylor expansion of (pow (fma N N 1) 1/3) in N
5.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N N 1)))) in N
5.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N N 1))) in N
5.609 * [taylor]: Taking taylor expansion of 1/3 in N
5.609 * [backup-simplify]: Simplify 1/3 into 1/3
5.609 * [taylor]: Taking taylor expansion of (log (fma N N 1)) in N
5.609 * [taylor]: Taking taylor expansion of (fma N N 1) in N
5.609 * [taylor]: Rewrote expression to (+ (* N N) 1)
5.609 * [taylor]: Taking taylor expansion of (* N N) in N
5.609 * [taylor]: Taking taylor expansion of N in N
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [taylor]: Taking taylor expansion of N in N
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [taylor]: Taking taylor expansion of 1 in N
5.609 * [backup-simplify]: Simplify 1 into 1
5.610 * [backup-simplify]: Simplify (* 0 0) into 0
5.610 * [backup-simplify]: Simplify (+ 0 1) into 1
5.610 * [backup-simplify]: Simplify (log 1) into 0
5.611 * [backup-simplify]: Simplify (* 1/3 0) into 0
5.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.612 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
5.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.614 * [backup-simplify]: Simplify (+ 1 0) into 1
5.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.616 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3
5.616 * [backup-simplify]: Simplify (exp 0) into 1
5.616 * [backup-simplify]: Simplify 1 into 1
5.616 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
5.616 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into 1/3
5.617 * [backup-simplify]: Simplify 1/3 into 1/3
5.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.618 * [backup-simplify]: Simplify (+ 0 0) into 0
5.621 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.622 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
5.623 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.623 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.624 * [backup-simplify]: Simplify (+ 0 0) into 0
5.629 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.630 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into -1/6
5.633 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
5.633 * [backup-simplify]: Simplify -1/9 into -1/9
5.633 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 4)) (+ (* 1/3 (pow N 2)) 1)) into (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))
5.633 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (/ 1 N) 1)) into (pow (fma (/ 1 N) (/ 1 N) 1) 1/3)
5.633 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in (N) around 0
5.633 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in N
5.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1)))) in N
5.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1))) in N
5.633 * [taylor]: Taking taylor expansion of 1/3 in N
5.634 * [backup-simplify]: Simplify 1/3 into 1/3
5.634 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) 1)) in N
5.634 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
5.634 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
5.634 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
5.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.634 * [taylor]: Taking taylor expansion of N in N
5.634 * [backup-simplify]: Simplify 0 into 0
5.634 * [backup-simplify]: Simplify 1 into 1
5.634 * [backup-simplify]: Simplify (/ 1 1) into 1
5.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.634 * [taylor]: Taking taylor expansion of N in N
5.634 * [backup-simplify]: Simplify 0 into 0
5.634 * [backup-simplify]: Simplify 1 into 1
5.634 * [backup-simplify]: Simplify (/ 1 1) into 1
5.634 * [taylor]: Taking taylor expansion of 1 in N
5.634 * [backup-simplify]: Simplify 1 into 1
5.634 * [backup-simplify]: Simplify (* 1 1) into 1
5.635 * [backup-simplify]: Simplify (+ 1 0) into 1
5.635 * [backup-simplify]: Simplify (log 1) into 0
5.635 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.635 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.635 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.635 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) in N
5.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1)))) in N
5.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (/ 1 N) 1))) in N
5.635 * [taylor]: Taking taylor expansion of 1/3 in N
5.635 * [backup-simplify]: Simplify 1/3 into 1/3
5.636 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) 1)) in N
5.636 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
5.636 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
5.636 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
5.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.636 * [taylor]: Taking taylor expansion of N in N
5.636 * [backup-simplify]: Simplify 0 into 0
5.636 * [backup-simplify]: Simplify 1 into 1
5.636 * [backup-simplify]: Simplify (/ 1 1) into 1
5.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.636 * [taylor]: Taking taylor expansion of N in N
5.636 * [backup-simplify]: Simplify 0 into 0
5.636 * [backup-simplify]: Simplify 1 into 1
5.636 * [backup-simplify]: Simplify (/ 1 1) into 1
5.636 * [taylor]: Taking taylor expansion of 1 in N
5.636 * [backup-simplify]: Simplify 1 into 1
5.636 * [backup-simplify]: Simplify (* 1 1) into 1
5.637 * [backup-simplify]: Simplify (+ 1 0) into 1
5.637 * [backup-simplify]: Simplify (log 1) into 0
5.637 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.637 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.637 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.637 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.639 * [backup-simplify]: Simplify (+ 0 0) into 0
5.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.640 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
5.641 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.643 * [backup-simplify]: Simplify (+ 0 1) into 1
5.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.645 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.645 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 1/3
5.646 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.646 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.648 * [backup-simplify]: Simplify (+ 0 0) into 0
5.651 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.652 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.652 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
5.654 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.656 * [backup-simplify]: Simplify (+ 0 0) into 0
5.662 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.662 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.663 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6)
5.666 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.666 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.666 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
5.666 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (/ 1 (- N)) 1)) into (pow (fma (/ -1 N) (/ -1 N) 1) 1/3)
5.666 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in (N) around 0
5.667 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in N
5.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1)))) in N
5.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1))) in N
5.667 * [taylor]: Taking taylor expansion of 1/3 in N
5.667 * [backup-simplify]: Simplify 1/3 into 1/3
5.667 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (/ -1 N) 1)) in N
5.667 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
5.667 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
5.667 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
5.667 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.667 * [taylor]: Taking taylor expansion of -1 in N
5.667 * [backup-simplify]: Simplify -1 into -1
5.667 * [taylor]: Taking taylor expansion of N in N
5.667 * [backup-simplify]: Simplify 0 into 0
5.667 * [backup-simplify]: Simplify 1 into 1
5.667 * [backup-simplify]: Simplify (/ -1 1) into -1
5.667 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.667 * [taylor]: Taking taylor expansion of -1 in N
5.667 * [backup-simplify]: Simplify -1 into -1
5.667 * [taylor]: Taking taylor expansion of N in N
5.667 * [backup-simplify]: Simplify 0 into 0
5.667 * [backup-simplify]: Simplify 1 into 1
5.667 * [backup-simplify]: Simplify (/ -1 1) into -1
5.667 * [taylor]: Taking taylor expansion of 1 in N
5.668 * [backup-simplify]: Simplify 1 into 1
5.668 * [backup-simplify]: Simplify (* -1 -1) into 1
5.668 * [backup-simplify]: Simplify (+ 1 0) into 1
5.668 * [backup-simplify]: Simplify (log 1) into 0
5.669 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.669 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.669 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.669 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) in N
5.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1)))) in N
5.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (/ -1 N) 1))) in N
5.669 * [taylor]: Taking taylor expansion of 1/3 in N
5.669 * [backup-simplify]: Simplify 1/3 into 1/3
5.669 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (/ -1 N) 1)) in N
5.669 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
5.669 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
5.669 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
5.669 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.669 * [taylor]: Taking taylor expansion of -1 in N
5.669 * [backup-simplify]: Simplify -1 into -1
5.669 * [taylor]: Taking taylor expansion of N in N
5.669 * [backup-simplify]: Simplify 0 into 0
5.669 * [backup-simplify]: Simplify 1 into 1
5.669 * [backup-simplify]: Simplify (/ -1 1) into -1
5.669 * [taylor]: Taking taylor expansion of (/ -1 N) in N
5.669 * [taylor]: Taking taylor expansion of -1 in N
5.669 * [backup-simplify]: Simplify -1 into -1
5.669 * [taylor]: Taking taylor expansion of N in N
5.669 * [backup-simplify]: Simplify 0 into 0
5.669 * [backup-simplify]: Simplify 1 into 1
5.671 * [backup-simplify]: Simplify (/ -1 1) into -1
5.671 * [taylor]: Taking taylor expansion of 1 in N
5.671 * [backup-simplify]: Simplify 1 into 1
5.671 * [backup-simplify]: Simplify (* -1 -1) into 1
5.672 * [backup-simplify]: Simplify (+ 1 0) into 1
5.672 * [backup-simplify]: Simplify (log 1) into 0
5.673 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.673 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
5.673 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
5.674 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
5.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.675 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.676 * [backup-simplify]: Simplify (+ 0 0) into 0
5.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.677 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0
5.678 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.680 * [backup-simplify]: Simplify (+ 0 1) into 1
5.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1
5.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.682 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 1/3
5.683 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.683 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
5.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.685 * [backup-simplify]: Simplify (+ 0 0) into 0
5.688 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.688 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.689 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0
5.690 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.690 * [backup-simplify]: Simplify 0 into 0
5.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.692 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.692 * [backup-simplify]: Simplify (+ 0 0) into 0
5.698 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
5.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
5.699 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6)
5.702 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.702 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3))
5.702 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
5.702 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.703 * [backup-simplify]: Simplify (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.703 * [approximate]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) in (N) around 0
5.703 * [taylor]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) in N
5.703 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.703 * [taylor]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) in N
5.703 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.703 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.704 * [backup-simplify]: Simplify (atan2 1 (fma (* (cbrt (fma (/ 1 N) (/ 1 N) 1)) (cbrt (fma (/ 1 N) (/ 1 N) 1))) (cbrt (fma (/ 1 N) (/ 1 N) 1)) (/ 1 N))) into (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N)))
5.704 * [approximate]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N))) in (N) around 0
5.704 * [taylor]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N))) in N
5.704 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N))) into (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N)))
5.704 * [taylor]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N))) in N
5.704 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N))) into (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N)))
5.704 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N))) into (atan2 1 (fma (pow (pow (fma (/ 1 N) (/ 1 N) 1) 2) 1/3) (pow (fma (/ 1 N) (/ 1 N) 1) 1/3) (/ 1 N)))
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1) 2) 1/3) (pow (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1) 1/3) (/ 1 (/ 1 N)))) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.705 * [backup-simplify]: Simplify (atan2 1 (fma (* (cbrt (fma (/ 1 (- N)) (/ 1 (- N)) 1)) (cbrt (fma (/ 1 (- N)) (/ 1 (- N)) 1))) (cbrt (fma (/ 1 (- N)) (/ 1 (- N)) 1)) (/ 1 (- N)))) into (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N)))
5.705 * [approximate]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N))) in (N) around 0
5.705 * [taylor]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N))) in N
5.705 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N))) into (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N)))
5.705 * [taylor]: Taking taylor expansion of (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N))) in N
5.705 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N))) into (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N)))
5.705 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N))) into (atan2 1 (fma (pow (pow (fma (/ -1 N) (/ -1 N) 1) 2) 1/3) (pow (fma (/ -1 N) (/ -1 N) 1) 1/3) (/ -1 N)))
5.705 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify 0 into 0
5.706 * [backup-simplify]: Simplify (atan2 1 (fma (pow (pow (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) 2) 1/3) (pow (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) 1/3) (/ -1 (/ 1 (- N))))) into (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.706 * * * [progress]: simplifying candidates
5.706 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (log1p (expm1 (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (expm1 (log1p (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (pow (fma N N 1) 1/3) N)))>
5.706 * * * * [progress]: [ 4 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (pow (cbrt (fma N N 1)) 1) N)))>
5.706 * * * * [progress]: [ 5 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (exp (log (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 6 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (log (exp (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 8 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (cbrt (sqrt (fma N N 1))) (cbrt (sqrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 9 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (cbrt 1) (cbrt (fma N N 1))) N)))>
5.706 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (* (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (sqrt (cbrt (fma N N 1))) (sqrt (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* 1 (cbrt (fma N N 1))) N)))>
5.706 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (posit16->real (real->posit16 (cbrt (fma N N 1)))) N)))>
5.706 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (log1p (expm1 (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.706 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (expm1 (log1p (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.706 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (pow (fma N N 1) 1/3)) (cbrt (fma N N 1)) N)))>
5.706 * * * * [progress]: [ 18 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (pow (cbrt (fma N N 1)) 1)) (cbrt (fma N N 1)) N)))>
5.706 * * * * [progress]: [ 19 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (exp (log (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (log (exp (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 21 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (* (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (* (cbrt (sqrt (fma N N 1))) (cbrt (sqrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 23 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (* (cbrt 1) (cbrt (fma N N 1)))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 24 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (* (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 25 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (* (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (* (sqrt (cbrt (fma N N 1))) (sqrt (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 27 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (* 1 (cbrt (fma N N 1)))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (posit16->real (real->posit16 (cbrt (fma N N 1))))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (log1p (expm1 (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (expm1 (log1p (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 31 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (pow (fma N N 1) 1/3) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (pow (cbrt (fma N N 1)) 1) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (exp (log (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (log (exp (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 35 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (* (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (* (cbrt (sqrt (fma N N 1))) (cbrt (sqrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (* (cbrt 1) (cbrt (fma N N 1))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (* (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (* (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.707 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (* (sqrt (cbrt (fma N N 1))) (sqrt (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 41 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (* 1 (cbrt (fma N N 1))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (posit16->real (real->posit16 (cbrt (fma N N 1)))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)) 1))>
5.708 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (cbrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))) (cbrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))))>
5.708 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))>
5.708 * * * * [progress]: [ 53 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4))) N)))>
5.708 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3))) N)))>
5.708 * * * * [progress]: [ 55 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3))) N)))>
5.708 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 59 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 60 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 61 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3))) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
5.708 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)))>
5.708 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)))>
5.708 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N)))>
5.709 * [simplify]: Simplifying:
  (expm1 (cbrt (fma N N 1)))
  (log1p (cbrt (fma N N 1)))
  (log (cbrt (fma N N 1)))
  (exp (cbrt (fma N N 1)))
  (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (cbrt (sqrt (fma N N 1)))
  (cbrt (sqrt (fma N N 1)))
  (cbrt 1)
  (cbrt (fma N N 1))
  (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (* (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (real->posit16 (cbrt (fma N N 1)))
  (expm1 (cbrt (fma N N 1)))
  (log1p (cbrt (fma N N 1)))
  (log (cbrt (fma N N 1)))
  (exp (cbrt (fma N N 1)))
  (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (cbrt (sqrt (fma N N 1)))
  (cbrt (sqrt (fma N N 1)))
  (cbrt 1)
  (cbrt (fma N N 1))
  (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (* (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (real->posit16 (cbrt (fma N N 1)))
  (expm1 (cbrt (fma N N 1)))
  (log1p (cbrt (fma N N 1)))
  (log (cbrt (fma N N 1)))
  (exp (cbrt (fma N N 1)))
  (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (cbrt (sqrt (fma N N 1)))
  (cbrt (sqrt (fma N N 1)))
  (cbrt 1)
  (cbrt (fma N N 1))
  (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (* (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (real->posit16 (cbrt (fma N N 1)))
  (expm1 (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (log1p (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (log (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (exp (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (* (cbrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (cbrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))))
  (cbrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (* (* (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (real->posit16 (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))
  (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))
  (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
  (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
  (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))
  (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
  (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
  (- (+ (* 1/3 (pow N 2)) 1) (* 1/9 (pow N 4)))
  (- (+ (pow (/ 1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
  (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 (pow N 4)) 1/3))) (* 1/9 (pow (/ 1 (pow N 10)) 1/3)))
  (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
  (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
  (atan2 1 (fma (pow (pow (fma N N 1) 2) 1/3) (pow (fma N N 1) 1/3) N))
5.710 * * [simplify]: iteration 1: (63 enodes)
5.722 * * [simplify]: iteration 2: (125 enodes)
5.762 * * [simplify]: iteration 3: (302 enodes)
5.841 * * [simplify]: iteration 4: (743 enodes)
6.123 * * [simplify]: iteration 5: (1965 enodes)
7.570 * * [simplify]: Extracting #0: cost 26 inf + 0
7.570 * * [simplify]: Extracting #1: cost 181 inf + 1
7.573 * * [simplify]: Extracting #2: cost 548 inf + 1319
7.579 * * [simplify]: Extracting #3: cost 576 inf + 20351
7.596 * * [simplify]: Extracting #4: cost 554 inf + 110322
7.631 * * [simplify]: Extracting #5: cost 586 inf + 237520
7.697 * * [simplify]: Extracting #6: cost 121 inf + 537822
7.783 * * [simplify]: Extracting #7: cost 12 inf + 625947
7.866 * * [simplify]: Extracting #8: cost 0 inf + 629155
7.951 * * [simplify]: Extracting #9: cost 0 inf + 627220
8.035 * * [simplify]: Extracting #10: cost 0 inf + 626707
8.120 * * [simplify]: Extracting #11: cost 0 inf + 626576
8.204 * [simplify]: Simplified to:
  (expm1 (cbrt (fma N N 1)))
  (log1p (cbrt (fma N N 1)))
  (* 1/3 (log (fma N N 1)))
  (exp (cbrt (fma N N 1)))
  (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (cbrt (hypot 1 N))
  (cbrt (hypot 1 N))
  1
  (cbrt (fma N N 1))
  (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (fma N N 1)
  (sqrt (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (real->posit16 (cbrt (fma N N 1)))
  (expm1 (cbrt (fma N N 1)))
  (log1p (cbrt (fma N N 1)))
  (* 1/3 (log (fma N N 1)))
  (exp (cbrt (fma N N 1)))
  (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (cbrt (hypot 1 N))
  (cbrt (hypot 1 N))
  1
  (cbrt (fma N N 1))
  (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (fma N N 1)
  (sqrt (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (real->posit16 (cbrt (fma N N 1)))
  (expm1 (cbrt (fma N N 1)))
  (log1p (cbrt (fma N N 1)))
  (* 1/3 (log (fma N N 1)))
  (exp (cbrt (fma N N 1)))
  (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (cbrt (hypot 1 N))
  (cbrt (hypot 1 N))
  1
  (cbrt (fma N N 1))
  (* (cbrt (cbrt (fma N N 1))) (cbrt (cbrt (fma N N 1))))
  (cbrt (cbrt (fma N N 1)))
  (fma N N 1)
  (sqrt (cbrt (fma N N 1)))
  (sqrt (cbrt (fma N N 1)))
  (real->posit16 (cbrt (fma N N 1)))
  (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 N) (fma (* N N) -1/9 1/3) 1)
  (fma (cbrt (/ 1 (pow N 10))) -1/9 (fma 1/3 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (pow N 10))) -1/9 (fma 1/3 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ -1 N) -2/3)))
  (fma (* N N) (fma (* N N) -1/9 1/3) 1)
  (fma (cbrt (/ 1 (pow N 10))) -1/9 (fma 1/3 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (pow N 10))) -1/9 (fma 1/3 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ -1 N) -2/3)))
  (fma (* N N) (fma (* N N) -1/9 1/3) 1)
  (fma (cbrt (/ 1 (pow N 10))) -1/9 (fma 1/3 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
  (fma (cbrt (/ 1 (pow N 10))) -1/9 (fma 1/3 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ -1 N) -2/3)))
  (atan2 1 (fma (cbrt (* (fma N N 1) (fma N N 1))) (cbrt (fma N N 1)) N))
  (atan2 1 (fma (cbrt (* (fma N N 1) (fma N N 1))) (cbrt (fma N N 1)) N))
  (atan2 1 (fma (cbrt (* (fma N N 1) (fma N N 1))) (cbrt (fma N N 1)) N))
8.208 * * * [progress]: adding candidates to table
8.688 * [progress]: [Phase 3 of 3] Extracting.
8.688 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) N)))> #<alt (λ (N) (* (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> #<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))>)
8.688 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N)
8.689 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) N)))> #<alt (λ (N) (* (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> #<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))>)
8.717 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (* (cbrt (* (cbrt (fma N N 1)) (cbrt (fma N N 1)))) (cbrt (cbrt (fma N N 1)))) N)))> #<alt (λ (N) (* (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N))) (sqrt (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> #<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))>)
8.743 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
8.744 * [simplify]: Simplifying:
  (atan2 1 (+ (fma N N 1) N))
8.744 * * [simplify]: iteration 1: (5 enodes)
8.744 * * [simplify]: iteration 2: (8 enodes)
8.744 * * [simplify]: Extracting #0: cost 1 inf + 0
8.744 * * [simplify]: Extracting #1: cost 3 inf + 0
8.744 * * [simplify]: Extracting #2: cost 4 inf + 1
8.744 * * [simplify]: Extracting #3: cost 0 inf + 393
8.744 * [simplify]: Simplified to:
  (atan2 1 (+ N (fma N N 1)))
10.636 * [regime-testing]: Baseline error score: 0.39194835033858333
10.638 * [regime-testing]: Oracle error score: 0.36202712893554734
10.643 * [regime-testing]: End program error score: 0.39194835033858333
10.681 * [regime-testing]: Target error score: 0.391853977604221