0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.051 * * * [progress]: [2/2] Setting up program.
0.053 * [progress]: [Phase 2 of 3] Improving.
0.053 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.053 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.053 * * [simplify]: iters left: 5 (6 enodes)
0.055 * * [simplify]: iters left: 4 (23 enodes)
0.059 * * [simplify]: iters left: 3 (28 enodes)
0.064 * * [simplify]: Extracting #0: cost 1 inf + 0
0.064 * * [simplify]: Extracting #1: cost 5 inf + 0
0.064 * * [simplify]: Extracting #2: cost 10 inf + 0
0.064 * * [simplify]: Extracting #3: cost 11 inf + 1
0.064 * * [simplify]: Extracting #4: cost 6 inf + 298
0.064 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.065 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.065 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.065 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.070 * * [progress]: iteration 1 / 4
0.070 * * * [progress]: picking best candidate
0.073 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.073 * * * [progress]: localizing error
0.095 * * * [progress]: generating rewritten candidates
0.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.105 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.108 * * * [progress]: generating series expansions
0.108 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.108 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.108 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.108 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.109 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.109 * [taylor]: Taking taylor expansion of (atan N) in N
0.109 * [backup-simplify]: Simplify (atan N) into (atan N)
0.109 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.109 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.109 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.109 * [taylor]: Taking taylor expansion of (atan N) in N
0.109 * [backup-simplify]: Simplify (atan N) into (atan N)
0.109 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.109 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.109 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
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
0.111 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.115 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.115 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.115 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.115 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.115 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.115 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.115 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.115 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.115 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.115 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.115 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.116 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.116 * [backup-simplify]: Simplify (- 0) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.121 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.121 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.121 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.121 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.121 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.121 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.121 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.121 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.121 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.121 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.121 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.121 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.122 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.122 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.122 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.127 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.127 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.127 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.127 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.127 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.127 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.129 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.129 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.129 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.129 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.130 * * * [progress]: simplifying candidates
0.130 * * * * [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)))))))>
0.130 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
0.130 * * [simplify]: iters left: 6 (12 enodes)
0.136 * * [simplify]: iters left: 5 (48 enodes)
0.152 * * [simplify]: iters left: 4 (70 enodes)
0.185 * * [simplify]: iters left: 3 (92 enodes)
0.214 * * [simplify]: iters left: 2 (133 enodes)
0.263 * * [simplify]: iters left: 1 (224 enodes)
0.331 * * [simplify]: Extracting #0: cost 1 inf + 0
0.331 * * [simplify]: Extracting #1: cost 20 inf + 0
0.331 * * [simplify]: Extracting #2: cost 73 inf + 0
0.331 * * [simplify]: Extracting #3: cost 91 inf + 111
0.332 * * [simplify]: Extracting #4: cost 80 inf + 1802
0.333 * * [simplify]: Extracting #5: cost 31 inf + 28492
0.336 * * [simplify]: Extracting #6: cost 2 inf + 46521
0.343 * * [simplify]: Extracting #7: cost 0 inf + 48267
0.350 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.350 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))
0.351 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
0.351 * * [simplify]: iters left: 6 (7 enodes)
0.354 * * [simplify]: iters left: 5 (26 enodes)
0.363 * * [simplify]: iters left: 4 (42 enodes)
0.380 * * [simplify]: iters left: 3 (83 enodes)
0.408 * * [simplify]: iters left: 2 (133 enodes)
0.453 * * [simplify]: iters left: 1 (202 enodes)
0.523 * * [simplify]: Extracting #0: cost 1 inf + 0
0.524 * * [simplify]: Extracting #1: cost 0 inf + 1
0.524 * [simplify]: Simplified to 0
0.524 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
0.524 * * * * [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))))))>
0.524 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
0.524 * * [simplify]: iters left: 6 (11 enodes)
0.531 * * [simplify]: iters left: 5 (39 enodes)
0.543 * * [simplify]: iters left: 4 (49 enodes)
0.557 * * [simplify]: iters left: 3 (54 enodes)
0.567 * * [simplify]: iters left: 2 (61 enodes)
0.579 * * [simplify]: iters left: 1 (78 enodes)
0.595 * * [simplify]: Extracting #0: cost 1 inf + 0
0.596 * * [simplify]: Extracting #1: cost 12 inf + 0
0.596 * * [simplify]: Extracting #2: cost 28 inf + 0
0.596 * * [simplify]: Extracting #3: cost 27 inf + 401
0.596 * * [simplify]: Extracting #4: cost 22 inf + 987
0.597 * * [simplify]: Extracting #5: cost 12 inf + 2711
0.598 * * [simplify]: Extracting #6: cost 4 inf + 5977
0.600 * * [simplify]: Extracting #7: cost 1 inf + 7661
0.601 * * [simplify]: Extracting #8: cost 0 inf + 8284
0.603 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.603 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))
0.604 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
0.604 * * [simplify]: iters left: 5 (6 enodes)
0.606 * * [simplify]: iters left: 4 (18 enodes)
0.612 * * [simplify]: iters left: 3 (26 enodes)
0.620 * * [simplify]: iters left: 2 (34 enodes)
0.629 * * [simplify]: iters left: 1 (36 enodes)
0.637 * * [simplify]: Extracting #0: cost 1 inf + 0
0.637 * * [simplify]: Extracting #1: cost 0 inf + 1
0.637 * [simplify]: Simplified to 0
0.637 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
0.637 * * * * [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))))>
0.638 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1)))
0.638 * * [simplify]: iters left: 6 (10 enodes)
0.640 * * [simplify]: iters left: 5 (39 enodes)
0.647 * * [simplify]: iters left: 4 (52 enodes)
0.655 * * [simplify]: iters left: 3 (63 enodes)
0.664 * * [simplify]: iters left: 2 (70 enodes)
0.674 * * [simplify]: iters left: 1 (84 enodes)
0.701 * * [simplify]: Extracting #0: cost 1 inf + 0
0.701 * * [simplify]: Extracting #1: cost 9 inf + 0
0.701 * * [simplify]: Extracting #2: cost 17 inf + 2
0.701 * * [simplify]: Extracting #3: cost 19 inf + 4
0.701 * * [simplify]: Extracting #4: cost 14 inf + 887
0.702 * * [simplify]: Extracting #5: cost 7 inf + 2842
0.702 * * [simplify]: Extracting #6: cost 1 inf + 4691
0.703 * * [simplify]: Extracting #7: cost 0 inf + 5129
0.703 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.704 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1))))
0.704 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1))
0.704 * * [simplify]: iters left: 4 (6 enodes)
0.705 * * [simplify]: iters left: 3 (21 enodes)
0.709 * * [simplify]: iters left: 2 (31 enodes)
0.714 * * [simplify]: iters left: 1 (35 enodes)
0.719 * * [simplify]: Extracting #0: cost 1 inf + 0
0.719 * * [simplify]: Extracting #1: cost 7 inf + 0
0.719 * * [simplify]: Extracting #2: cost 7 inf + 3
0.719 * * [simplify]: Extracting #3: cost 2 inf + 510
0.720 * * [simplify]: Extracting #4: cost 0 inf + 802
0.720 * [simplify]: Simplified to (* (atan N) 0)
0.720 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (atan N) 0)))
0.720 * * * * [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)))))))>
0.720 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
0.720 * * [simplify]: iters left: 6 (11 enodes)
0.723 * * [simplify]: iters left: 5 (45 enodes)
0.730 * * [simplify]: iters left: 4 (63 enodes)
0.747 * * [simplify]: iters left: 3 (83 enodes)
0.776 * * [simplify]: iters left: 2 (129 enodes)
0.803 * * [simplify]: iters left: 1 (221 enodes)
0.868 * * [simplify]: Extracting #0: cost 1 inf + 0
0.868 * * [simplify]: Extracting #1: cost 22 inf + 0
0.868 * * [simplify]: Extracting #2: cost 93 inf + 0
0.869 * * [simplify]: Extracting #3: cost 108 inf + 257
0.869 * * [simplify]: Extracting #4: cost 99 inf + 1300
0.871 * * [simplify]: Extracting #5: cost 57 inf + 22253
0.877 * * [simplify]: Extracting #6: cost 5 inf + 60513
0.891 * * [simplify]: Extracting #7: cost 0 inf + 64154
0.902 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.902 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))
0.903 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
0.903 * * [simplify]: iters left: 6 (7 enodes)
0.906 * * [simplify]: iters left: 5 (26 enodes)
0.916 * * [simplify]: iters left: 4 (42 enodes)
0.932 * * [simplify]: iters left: 3 (83 enodes)
0.947 * * [simplify]: iters left: 2 (133 enodes)
0.976 * * [simplify]: iters left: 1 (202 enodes)
1.031 * * [simplify]: Extracting #0: cost 1 inf + 0
1.031 * * [simplify]: Extracting #1: cost 0 inf + 1
1.031 * [simplify]: Simplified to 0
1.032 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
1.032 * * * * [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))))))>
1.032 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
1.032 * * [simplify]: iters left: 6 (10 enodes)
1.034 * * [simplify]: iters left: 5 (36 enodes)
1.040 * * [simplify]: iters left: 4 (42 enodes)
1.045 * * [simplify]: iters left: 3 (46 enodes)
1.051 * * [simplify]: iters left: 2 (54 enodes)
1.060 * * [simplify]: iters left: 1 (71 enodes)
1.082 * * [simplify]: Extracting #0: cost 1 inf + 0
1.082 * * [simplify]: Extracting #1: cost 14 inf + 0
1.082 * * [simplify]: Extracting #2: cost 34 inf + 0
1.083 * * [simplify]: Extracting #3: cost 35 inf + 1
1.083 * * [simplify]: Extracting #4: cost 31 inf + 400
1.084 * * [simplify]: Extracting #5: cost 17 inf + 3183
1.086 * * [simplify]: Extracting #6: cost 3 inf + 8526
1.089 * * [simplify]: Extracting #7: cost 0 inf + 9762
1.092 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
1.092 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))
1.092 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
1.092 * * [simplify]: iters left: 5 (6 enodes)
1.095 * * [simplify]: iters left: 4 (18 enodes)
1.103 * * [simplify]: iters left: 3 (26 enodes)
1.110 * * [simplify]: iters left: 2 (34 enodes)
1.119 * * [simplify]: iters left: 1 (36 enodes)
1.123 * * [simplify]: Extracting #0: cost 1 inf + 0
1.123 * * [simplify]: Extracting #1: cost 0 inf + 1
1.123 * [simplify]: Simplified to 0
1.123 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
1.123 * * * * [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))))>
1.123 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1)))
1.123 * * [simplify]: iters left: 6 (9 enodes)
1.126 * * [simplify]: iters left: 5 (36 enodes)
1.132 * * [simplify]: iters left: 4 (45 enodes)
1.139 * * [simplify]: iters left: 3 (50 enodes)
1.145 * * [simplify]: Extracting #0: cost 1 inf + 0
1.145 * * [simplify]: Extracting #1: cost 6 inf + 0
1.145 * * [simplify]: Extracting #2: cost 14 inf + 0
1.145 * * [simplify]: Extracting #3: cost 12 inf + 3
1.145 * * [simplify]: Extracting #4: cost 6 inf + 592
1.145 * * [simplify]: Extracting #5: cost 0 inf + 1843
1.145 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
1.146 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1))))
1.146 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1))
1.146 * * [simplify]: iters left: 4 (6 enodes)
1.147 * * [simplify]: iters left: 3 (21 enodes)
1.151 * * [simplify]: iters left: 2 (31 enodes)
1.156 * * [simplify]: iters left: 1 (35 enodes)
1.162 * * [simplify]: Extracting #0: cost 1 inf + 0
1.162 * * [simplify]: Extracting #1: cost 7 inf + 0
1.162 * * [simplify]: Extracting #2: cost 7 inf + 3
1.162 * * [simplify]: Extracting #3: cost 2 inf + 510
1.162 * * [simplify]: Extracting #4: cost 0 inf + 802
1.162 * [simplify]: Simplified to (* (atan N) 0)
1.162 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (atan N) 0)))
1.162 * * * * [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)))))))>
1.163 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
1.163 * * [simplify]: iters left: 6 (10 enodes)
1.165 * * [simplify]: iters left: 5 (42 enodes)
1.172 * * [simplify]: iters left: 4 (61 enodes)
1.182 * * [simplify]: iters left: 3 (81 enodes)
1.197 * * [simplify]: iters left: 2 (121 enodes)
1.219 * * [simplify]: iters left: 1 (204 enodes)
1.259 * * [simplify]: Extracting #0: cost 1 inf + 0
1.259 * * [simplify]: Extracting #1: cost 14 inf + 0
1.259 * * [simplify]: Extracting #2: cost 52 inf + 1
1.259 * * [simplify]: Extracting #3: cost 74 inf + 6
1.259 * * [simplify]: Extracting #4: cost 65 inf + 1076
1.260 * * [simplify]: Extracting #5: cost 47 inf + 8292
1.263 * * [simplify]: Extracting #6: cost 8 inf + 31632
1.266 * * [simplify]: Extracting #7: cost 0 inf + 37569
1.269 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N))
1.269 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))
1.269 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
1.269 * * [simplify]: iters left: 6 (7 enodes)
1.270 * * [simplify]: iters left: 5 (26 enodes)
1.275 * * [simplify]: iters left: 4 (42 enodes)
1.283 * * [simplify]: iters left: 3 (83 enodes)
1.299 * * [simplify]: iters left: 2 (133 enodes)
1.327 * * [simplify]: iters left: 1 (202 enodes)
1.374 * * [simplify]: Extracting #0: cost 1 inf + 0
1.374 * * [simplify]: Extracting #1: cost 0 inf + 1
1.374 * [simplify]: Simplified to 0
1.374 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0))
1.375 * * * * [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))))))>
1.375 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
1.375 * * [simplify]: iters left: 6 (9 enodes)
1.380 * * [simplify]: iters left: 5 (33 enodes)
1.390 * * [simplify]: iters left: 4 (40 enodes)
1.402 * * [simplify]: iters left: 3 (44 enodes)
1.413 * * [simplify]: iters left: 2 (45 enodes)
1.425 * * [simplify]: iters left: 1 (47 enodes)
1.436 * * [simplify]: Extracting #0: cost 1 inf + 0
1.436 * * [simplify]: Extracting #1: cost 8 inf + 0
1.436 * * [simplify]: Extracting #2: cost 14 inf + 1
1.436 * * [simplify]: Extracting #3: cost 14 inf + 2
1.437 * * [simplify]: Extracting #4: cost 2 inf + 1548
1.437 * * [simplify]: Extracting #5: cost 0 inf + 2132
1.437 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N))
1.438 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))
1.438 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
1.438 * * [simplify]: iters left: 5 (6 enodes)
1.439 * * [simplify]: iters left: 4 (18 enodes)
1.442 * * [simplify]: iters left: 3 (26 enodes)
1.445 * * [simplify]: iters left: 2 (34 enodes)
1.450 * * [simplify]: iters left: 1 (36 enodes)
1.459 * * [simplify]: Extracting #0: cost 1 inf + 0
1.460 * * [simplify]: Extracting #1: cost 0 inf + 1
1.460 * [simplify]: Simplified to 0
1.460 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0))
1.460 * * * * [progress]: [ 9 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
1.460 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (atan N) 1)))
1.460 * * [simplify]: iters left: 6 (8 enodes)
1.465 * * [simplify]: iters left: 5 (33 enodes)
1.475 * * [simplify]: iters left: 4 (43 enodes)
1.483 * * [simplify]: iters left: 3 (49 enodes)
1.489 * * [simplify]: iters left: 2 (51 enodes)
1.496 * * [simplify]: iters left: 1 (55 enodes)
1.503 * * [simplify]: Extracting #0: cost 1 inf + 0
1.503 * * [simplify]: Extracting #1: cost 7 inf + 0
1.503 * * [simplify]: Extracting #2: cost 10 inf + 2
1.503 * * [simplify]: Extracting #3: cost 10 inf + 3
1.503 * * [simplify]: Extracting #4: cost 2 inf + 1177
1.503 * * [simplify]: Extracting #5: cost 0 inf + 1469
1.503 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N))
1.503 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1))))
1.504 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1))
1.504 * * [simplify]: iters left: 4 (6 enodes)
1.505 * * [simplify]: iters left: 3 (21 enodes)
1.509 * * [simplify]: iters left: 2 (31 enodes)
1.514 * * [simplify]: iters left: 1 (35 enodes)
1.519 * * [simplify]: Extracting #0: cost 1 inf + 0
1.519 * * [simplify]: Extracting #1: cost 7 inf + 0
1.519 * * [simplify]: Extracting #2: cost 7 inf + 3
1.520 * * [simplify]: Extracting #3: cost 2 inf + 510
1.520 * * [simplify]: Extracting #4: cost 0 inf + 802
1.520 * [simplify]: Simplified to (* (atan N) 0)
1.520 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (* (atan N) 0)))
1.520 * * * * [progress]: [ 10 / 46 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
1.520 * * * * [progress]: [ 11 / 46 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
1.520 * * * * [progress]: [ 12 / 46 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
1.520 * [simplify]: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1))))
1.520 * * [simplify]: iters left: 6 (6 enodes)
1.522 * * [simplify]: iters left: 5 (21 enodes)
1.525 * * [simplify]: iters left: 4 (23 enodes)
1.528 * * [simplify]: Extracting #0: cost 1 inf + 0
1.528 * * [simplify]: Extracting #1: cost 3 inf + 0
1.528 * * [simplify]: Extracting #2: cost 5 inf + 0
1.528 * * [simplify]: Extracting #3: cost 7 inf + 0
1.528 * * [simplify]: Extracting #4: cost 10 inf + 0
1.528 * * [simplify]: Extracting #5: cost 8 inf + 2
1.529 * * [simplify]: Extracting #6: cost 0 inf + 1368
1.529 * [simplify]: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
1.529 * [simplify]: Simplified (2 1) to (λ (N) (fma (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ N 1))) (- (atan N))))
1.529 * * * * [progress]: [ 13 / 46 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
1.529 * [simplify]: Simplifying (sqrt (atan (+ N 1)))
1.529 * * [simplify]: iters left: 4 (5 enodes)
1.531 * * [simplify]: iters left: 3 (18 enodes)
1.533 * * [simplify]: iters left: 2 (20 enodes)
1.536 * * [simplify]: Extracting #0: cost 1 inf + 0
1.536 * * [simplify]: Extracting #1: cost 3 inf + 0
1.536 * * [simplify]: Extracting #2: cost 5 inf + 0
1.536 * * [simplify]: Extracting #3: cost 8 inf + 0
1.536 * * [simplify]: Extracting #4: cost 6 inf + 2
1.536 * * [simplify]: Extracting #5: cost 0 inf + 754
1.536 * [simplify]: Simplified to (sqrt (atan (+ 1 N)))
1.537 * [simplify]: Simplified (2 1) to (λ (N) (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ N 1))) (- (atan N))))
1.537 * * * * [progress]: [ 14 / 46 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
1.537 * * * * [progress]: [ 15 / 46 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
1.537 * [simplify]: Simplifying (- (+ N 1) N)
1.537 * * [simplify]: iters left: 4 (4 enodes)
1.538 * * [simplify]: iters left: 3 (19 enodes)
1.541 * * [simplify]: iters left: 2 (33 enodes)
1.548 * * [simplify]: iters left: 1 (39 enodes)
1.553 * * [simplify]: Extracting #0: cost 1 inf + 0
1.553 * * [simplify]: Extracting #1: cost 0 inf + 1
1.553 * [simplify]: Simplified to 1
1.553 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
1.553 * [simplify]: Simplifying (+ 1 (* (+ N 1) N))
1.553 * * [simplify]: iters left: 6 (5 enodes)
1.554 * * [simplify]: iters left: 5 (20 enodes)
1.558 * * [simplify]: iters left: 4 (31 enodes)
1.562 * * [simplify]: iters left: 3 (37 enodes)
1.567 * * [simplify]: Extracting #0: cost 1 inf + 0
1.567 * * [simplify]: Extracting #1: cost 6 inf + 0
1.567 * * [simplify]: Extracting #2: cost 6 inf + 58
1.567 * * [simplify]: Extracting #3: cost 1 inf + 433
1.568 * * [simplify]: Extracting #4: cost 0 inf + 474
1.568 * [simplify]: Simplified to (fma N (+ N 1) 1)
1.568 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
1.568 * * * * [progress]: [ 16 / 46 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
1.568 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
1.568 * * [simplify]: iters left: 6 (8 enodes)
1.571 * * [simplify]: iters left: 5 (29 enodes)
1.576 * * [simplify]: iters left: 4 (35 enodes)
1.581 * * [simplify]: iters left: 3 (40 enodes)
1.587 * * [simplify]: iters left: 2 (44 enodes)
1.599 * * [simplify]: iters left: 1 (48 enodes)
1.613 * * [simplify]: Extracting #0: cost 1 inf + 0
1.613 * * [simplify]: Extracting #1: cost 9 inf + 0
1.613 * * [simplify]: Extracting #2: cost 15 inf + 1
1.613 * * [simplify]: Extracting #3: cost 20 inf + 1
1.613 * * [simplify]: Extracting #4: cost 20 inf + 2
1.613 * * [simplify]: Extracting #5: cost 16 inf + 339
1.614 * * [simplify]: Extracting #6: cost 0 inf + 4059
1.615 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N)))
1.615 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))
1.615 * * * * [progress]: [ 17 / 46 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
1.615 * * * * [progress]: [ 18 / 46 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
1.615 * * * * [progress]: [ 19 / 46 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
1.615 * * * * [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)))))>
1.615 * * * * [progress]: [ 21 / 46 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
1.615 * * * * [progress]: [ 22 / 46 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
1.615 * * * * [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))))))>
1.615 * * * * [progress]: [ 24 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
1.615 * * * * [progress]: [ 25 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
1.616 * * * * [progress]: [ 26 / 46 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
1.616 * * * * [progress]: [ 27 / 46 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
1.616 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
1.616 * * [simplify]: iters left: 6 (8 enodes)
1.620 * * [simplify]: iters left: 5 (28 enodes)
1.628 * * [simplify]: iters left: 4 (30 enodes)
1.636 * * [simplify]: Extracting #0: cost 1 inf + 0
1.636 * * [simplify]: Extracting #1: cost 4 inf + 0
1.636 * * [simplify]: Extracting #2: cost 8 inf + 0
1.636 * * [simplify]: Extracting #3: cost 12 inf + 0
1.636 * * [simplify]: Extracting #4: cost 10 inf + 359
1.637 * * [simplify]: Extracting #5: cost 8 inf + 506
1.637 * * [simplify]: Extracting #6: cost 5 inf + 737
1.637 * * [simplify]: Extracting #7: cost 1 inf + 1630
1.638 * * [simplify]: Extracting #8: cost 0 inf + 2002
1.638 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
1.638 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
1.638 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
1.638 * * [simplify]: iters left: 6 (8 enodes)
1.642 * * [simplify]: iters left: 5 (29 enodes)
1.646 * * [simplify]: iters left: 4 (34 enodes)
1.651 * * [simplify]: Extracting #0: cost 1 inf + 0
1.651 * * [simplify]: Extracting #1: cost 5 inf + 0
1.651 * * [simplify]: Extracting #2: cost 10 inf + 0
1.651 * * [simplify]: Extracting #3: cost 14 inf + 0
1.651 * * [simplify]: Extracting #4: cost 15 inf + 1
1.651 * * [simplify]: Extracting #5: cost 13 inf + 108
1.651 * * [simplify]: Extracting #6: cost 5 inf + 1109
1.652 * * [simplify]: Extracting #7: cost 0 inf + 2374
1.652 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
1.652 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
1.652 * * * * [progress]: [ 28 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
1.652 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
1.652 * * [simplify]: iters left: 5 (6 enodes)
1.655 * * [simplify]: iters left: 4 (23 enodes)
1.659 * * [simplify]: iters left: 3 (28 enodes)
1.663 * * [simplify]: Extracting #0: cost 1 inf + 0
1.663 * * [simplify]: Extracting #1: cost 5 inf + 0
1.663 * * [simplify]: Extracting #2: cost 10 inf + 0
1.663 * * [simplify]: Extracting #3: cost 11 inf + 1
1.663 * * [simplify]: Extracting #4: cost 6 inf + 298
1.663 * * [simplify]: Extracting #5: cost 1 inf + 1176
1.663 * * [simplify]: Extracting #6: cost 0 inf + 1468
1.663 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
1.663 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))
1.663 * * * * [progress]: [ 29 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
1.664 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
1.664 * * * * [progress]: [ 31 / 46 ] simplifiying candidate #<alt (λ (N) (- (log1p (expm1 (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 32 / 46 ] simplifiying candidate #<alt (λ (N) (- (expm1 (log1p (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 33 / 46 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
1.664 * * * * [progress]: [ 34 / 46 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 35 / 46 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 36 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 37 / 46 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 38 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 39 / 46 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
1.664 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
1.664 * * * * [progress]: [ 41 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
1.664 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
1.664 * * [simplify]: iters left: 5 (6 enodes)
1.666 * * [simplify]: iters left: 4 (23 enodes)
1.669 * * [simplify]: iters left: 3 (28 enodes)
1.673 * * [simplify]: Extracting #0: cost 1 inf + 0
1.674 * * [simplify]: Extracting #1: cost 5 inf + 0
1.674 * * [simplify]: Extracting #2: cost 10 inf + 0
1.674 * * [simplify]: Extracting #3: cost 11 inf + 1
1.674 * * [simplify]: Extracting #4: cost 6 inf + 298
1.674 * * [simplify]: Extracting #5: cost 1 inf + 1176
1.674 * * [simplify]: Extracting #6: cost 0 inf + 1468
1.675 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
1.675 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
1.675 * * * * [progress]: [ 42 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
1.675 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
1.676 * * [simplify]: iters left: 5 (6 enodes)
1.679 * * [simplify]: iters left: 4 (23 enodes)
1.686 * * [simplify]: iters left: 3 (28 enodes)
1.694 * * [simplify]: Extracting #0: cost 1 inf + 0
1.694 * * [simplify]: Extracting #1: cost 5 inf + 0
1.694 * * [simplify]: Extracting #2: cost 10 inf + 0
1.694 * * [simplify]: Extracting #3: cost 11 inf + 1
1.695 * * [simplify]: Extracting #4: cost 6 inf + 298
1.695 * * [simplify]: Extracting #5: cost 1 inf + 1176
1.695 * * [simplify]: Extracting #6: cost 0 inf + 1468
1.696 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
1.696 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
1.696 * * * * [progress]: [ 43 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
1.696 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
1.696 * * [simplify]: iters left: 5 (6 enodes)
1.698 * * [simplify]: iters left: 4 (23 enodes)
1.702 * * [simplify]: iters left: 3 (28 enodes)
1.706 * * [simplify]: Extracting #0: cost 1 inf + 0
1.706 * * [simplify]: Extracting #1: cost 5 inf + 0
1.706 * * [simplify]: Extracting #2: cost 10 inf + 0
1.706 * * [simplify]: Extracting #3: cost 11 inf + 1
1.707 * * [simplify]: Extracting #4: cost 6 inf + 298
1.707 * * [simplify]: Extracting #5: cost 1 inf + 1176
1.707 * * [simplify]: Extracting #6: cost 0 inf + 1468
1.707 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
1.707 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
1.707 * * * * [progress]: [ 44 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
1.707 * [simplify]: Simplifying (atan (+ N 1))
1.707 * * [simplify]: iters left: 3 (4 enodes)
1.709 * * [simplify]: iters left: 2 (15 enodes)
1.711 * * [simplify]: iters left: 1 (17 enodes)
1.714 * * [simplify]: Extracting #0: cost 1 inf + 0
1.714 * * [simplify]: Extracting #1: cost 3 inf + 0
1.714 * * [simplify]: Extracting #2: cost 6 inf + 0
1.714 * * [simplify]: Extracting #3: cost 2 inf + 86
1.714 * * [simplify]: Extracting #4: cost 1 inf + 233
1.714 * * [simplify]: Extracting #5: cost 0 inf + 380
1.714 * [simplify]: Simplified to (atan (+ 1 N))
1.714 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
1.714 * * * * [progress]: [ 45 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
1.714 * [simplify]: Simplifying (atan (+ N 1))
1.714 * * [simplify]: iters left: 3 (4 enodes)
1.716 * * [simplify]: iters left: 2 (15 enodes)
1.718 * * [simplify]: iters left: 1 (17 enodes)
1.720 * * [simplify]: Extracting #0: cost 1 inf + 0
1.721 * * [simplify]: Extracting #1: cost 3 inf + 0
1.721 * * [simplify]: Extracting #2: cost 6 inf + 0
1.721 * * [simplify]: Extracting #3: cost 2 inf + 86
1.721 * * [simplify]: Extracting #4: cost 1 inf + 233
1.721 * * [simplify]: Extracting #5: cost 0 inf + 380
1.721 * [simplify]: Simplified to (atan (+ 1 N))
1.721 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
1.721 * * * * [progress]: [ 46 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
1.721 * [simplify]: Simplifying (atan (+ N 1))
1.721 * * [simplify]: iters left: 3 (4 enodes)
1.722 * * [simplify]: iters left: 2 (15 enodes)
1.725 * * [simplify]: iters left: 1 (17 enodes)
1.727 * * [simplify]: Extracting #0: cost 1 inf + 0
1.727 * * [simplify]: Extracting #1: cost 3 inf + 0
1.727 * * [simplify]: Extracting #2: cost 6 inf + 0
1.727 * * [simplify]: Extracting #3: cost 2 inf + 86
1.727 * * [simplify]: Extracting #4: cost 1 inf + 233
1.727 * * [simplify]: Extracting #5: cost 0 inf + 380
1.727 * [simplify]: Simplified to (atan (+ 1 N))
1.727 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
1.727 * * * [progress]: adding candidates to table
2.113 * * [progress]: iteration 2 / 4
2.113 * * * [progress]: picking best candidate
2.115 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.115 * * * [progress]: localizing error
2.126 * * * [progress]: generating rewritten candidates
2.126 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.127 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.127 * * * [progress]: generating series expansions
2.127 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.127 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.127 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
2.127 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.127 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.127 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
2.127 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.128 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.128 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.128 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
2.128 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.128 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.128 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.128 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.128 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.129 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.129 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0
2.129 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.129 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.129 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.129 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.129 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
2.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.129 * [backup-simplify]: Simplify (fma N (+ N 1) 1) into (fma N (+ N 1) 1)
2.129 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0
2.129 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.129 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.129 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.129 * [taylor]: Taking taylor expansion of N in N
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.129 * [taylor]: Taking taylor expansion of N in N
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [taylor]: Taking taylor expansion of 1 in N
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [taylor]: Taking taylor expansion of 1 in N
2.129 * [backup-simplify]: Simplify 1 into 1
2.130 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.130 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.130 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.130 * [taylor]: Taking taylor expansion of N in N
2.130 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.130 * [taylor]: Taking taylor expansion of N in N
2.130 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [taylor]: Taking taylor expansion of 1 in N
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [taylor]: Taking taylor expansion of 1 in N
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (+ 0 1) into 1
2.131 * [backup-simplify]: Simplify (* 0 1) into 0
2.131 * [backup-simplify]: Simplify (+ 0 1) into 1
2.131 * [backup-simplify]: Simplify 1 into 1
2.131 * [backup-simplify]: Simplify (+ 1 0) into 1
2.132 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.132 * [backup-simplify]: Simplify (+ 1 0) into 1
2.132 * [backup-simplify]: Simplify 1 into 1
2.132 * [backup-simplify]: Simplify (+ 0 0) into 0
2.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.133 * [backup-simplify]: Simplify (+ 1 0) into 1
2.133 * [backup-simplify]: Simplify 1 into 1
2.133 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.133 * [backup-simplify]: Simplify (fma (/ 1 N) (+ (/ 1 N) 1) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1)
2.133 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0
2.133 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.133 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.133 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.133 * [taylor]: Taking taylor expansion of N in N
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify (/ 1 1) into 1
2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.134 * [taylor]: Taking taylor expansion of N in N
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify (/ 1 1) into 1
2.134 * [taylor]: Taking taylor expansion of 1 in N
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [taylor]: Taking taylor expansion of 1 in N
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.134 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.134 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.134 * [taylor]: Taking taylor expansion of N in N
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify (/ 1 1) into 1
2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.134 * [taylor]: Taking taylor expansion of N in N
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify (/ 1 1) into 1
2.135 * [taylor]: Taking taylor expansion of 1 in N
2.135 * [backup-simplify]: Simplify 1 into 1
2.135 * [taylor]: Taking taylor expansion of 1 in N
2.135 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify (+ 1 0) into 1
2.136 * [backup-simplify]: Simplify (* 1 1) into 1
2.136 * [backup-simplify]: Simplify (+ 1 0) into 1
2.136 * [backup-simplify]: Simplify 1 into 1
2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.137 * [backup-simplify]: Simplify (+ 0 1) into 1
2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.137 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.138 * [backup-simplify]: Simplify (+ 1 0) into 1
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.138 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.140 * [backup-simplify]: Simplify (+ 0 1) into 1
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.140 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
2.140 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0
2.140 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.140 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.140 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.140 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.140 * [taylor]: Taking taylor expansion of -1 in N
2.140 * [backup-simplify]: Simplify -1 into -1
2.140 * [taylor]: Taking taylor expansion of N in N
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (/ -1 1) into -1
2.140 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.140 * [taylor]: Taking taylor expansion of 1 in N
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.141 * [taylor]: Taking taylor expansion of N in N
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify (/ 1 1) into 1
2.141 * [taylor]: Taking taylor expansion of 1 in N
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.141 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.141 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.141 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.141 * [taylor]: Taking taylor expansion of -1 in N
2.141 * [backup-simplify]: Simplify -1 into -1
2.141 * [taylor]: Taking taylor expansion of N in N
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify (/ -1 1) into -1
2.141 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.141 * [taylor]: Taking taylor expansion of 1 in N
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.141 * [taylor]: Taking taylor expansion of N in N
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify (/ 1 1) into 1
2.142 * [taylor]: Taking taylor expansion of 1 in N
2.142 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify (- 1) into -1
2.143 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.143 * [backup-simplify]: Simplify (* -1 -1) into 1
2.144 * [backup-simplify]: Simplify (+ 1 0) into 1
2.144 * [backup-simplify]: Simplify 1 into 1
2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.145 * [backup-simplify]: Simplify (- 0) into 0
2.145 * [backup-simplify]: Simplify (+ 1 0) into 1
2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.147 * [backup-simplify]: Simplify (+ -1 0) into -1
2.147 * [backup-simplify]: Simplify -1 into -1
2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.149 * [backup-simplify]: Simplify (- 0) into 0
2.149 * [backup-simplify]: Simplify (+ 0 0) into 0
2.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.151 * [backup-simplify]: Simplify (+ 0 1) into 1
2.151 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.152 * * * [progress]: simplifying candidates
2.152 * * * * [progress]: [ 1 / 27 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 2 / 27 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 3 / 27 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma N (+ N 1) 1)) 1))>
2.152 * * * * [progress]: [ 4 / 27 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 5 / 27 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 6 / 27 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 7 / 27 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 8 / 27 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 9 / 27 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma N (+ N 1) 1))))>
2.152 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))>
2.152 * * * * [progress]: [ 11 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 12 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 13 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N (+ N 1)) 1)))>
2.153 * * * * [progress]: [ 14 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (fma N (+ N 1) 1) 1)))>
2.153 * * * * [progress]: [ 15 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 16 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 17 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 18 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)) (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 19 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 20 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (fma N (+ N 1) 1))))>
2.153 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (fma N (+ N 1) 1)))))>
2.153 * * * * [progress]: [ 22 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.153 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1))
2.154 * * [simplify]: iters left: 4 (5 enodes)
2.156 * * [simplify]: iters left: 3 (20 enodes)
2.163 * * [simplify]: iters left: 2 (33 enodes)
2.174 * * [simplify]: iters left: 1 (40 enodes)
2.183 * * [simplify]: Extracting #0: cost 1 inf + 0
2.183 * * [simplify]: Extracting #1: cost 4 inf + 0
2.183 * * [simplify]: Extracting #2: cost 7 inf + 1
2.184 * * [simplify]: Extracting #3: cost 3 inf + 768
2.184 * * [simplify]: Extracting #4: cost 1 inf + 907
2.184 * * [simplify]: Extracting #5: cost 0 inf + 948
2.185 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1))
2.185 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
2.185 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.185 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1))
2.185 * * [simplify]: iters left: 4 (5 enodes)
2.188 * * [simplify]: iters left: 3 (20 enodes)
2.194 * * [simplify]: iters left: 2 (33 enodes)
2.205 * * [simplify]: iters left: 1 (40 enodes)
2.214 * * [simplify]: Extracting #0: cost 1 inf + 0
2.214 * * [simplify]: Extracting #1: cost 4 inf + 0
2.214 * * [simplify]: Extracting #2: cost 7 inf + 1
2.214 * * [simplify]: Extracting #3: cost 3 inf + 768
2.214 * * [simplify]: Extracting #4: cost 1 inf + 907
2.215 * * [simplify]: Extracting #5: cost 0 inf + 948
2.215 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1))
2.215 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
2.215 * * * * [progress]: [ 24 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
2.215 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1))
2.215 * * [simplify]: iters left: 4 (5 enodes)
2.216 * * [simplify]: iters left: 3 (20 enodes)
2.220 * * [simplify]: iters left: 2 (33 enodes)
2.228 * * [simplify]: iters left: 1 (40 enodes)
2.233 * * [simplify]: Extracting #0: cost 1 inf + 0
2.233 * * [simplify]: Extracting #1: cost 4 inf + 0
2.233 * * [simplify]: Extracting #2: cost 7 inf + 1
2.233 * * [simplify]: Extracting #3: cost 3 inf + 768
2.233 * * [simplify]: Extracting #4: cost 1 inf + 907
2.233 * * [simplify]: Extracting #5: cost 0 inf + 948
2.233 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1))
2.233 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
2.234 * * * * [progress]: [ 25 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.234 * [simplify]: Simplifying (+ N (+ (pow N 2) 1))
2.234 * * [simplify]: iters left: 5 (6 enodes)
2.236 * * [simplify]: iters left: 4 (28 enodes)
2.240 * * [simplify]: iters left: 3 (41 enodes)
2.247 * * [simplify]: iters left: 2 (50 enodes)
2.253 * * [simplify]: iters left: 1 (57 enodes)
2.260 * * [simplify]: Extracting #0: cost 1 inf + 0
2.260 * * [simplify]: Extracting #1: cost 8 inf + 0
2.260 * * [simplify]: Extracting #2: cost 11 inf + 2
2.260 * * [simplify]: Extracting #3: cost 0 inf + 589
2.260 * [simplify]: Simplified to (fma N N (+ 1 N))
2.260 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N N (+ 1 N))))
2.260 * * * * [progress]: [ 26 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.260 * [simplify]: Simplifying (+ N (+ (pow N 2) 1))
2.260 * * [simplify]: iters left: 5 (6 enodes)
2.263 * * [simplify]: iters left: 4 (28 enodes)
2.267 * * [simplify]: iters left: 3 (41 enodes)
2.273 * * [simplify]: iters left: 2 (50 enodes)
2.279 * * [simplify]: iters left: 1 (57 enodes)
2.286 * * [simplify]: Extracting #0: cost 1 inf + 0
2.286 * * [simplify]: Extracting #1: cost 8 inf + 0
2.286 * * [simplify]: Extracting #2: cost 11 inf + 2
2.286 * * [simplify]: Extracting #3: cost 0 inf + 589
2.286 * [simplify]: Simplified to (fma N N (+ 1 N))
2.286 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N N (+ 1 N))))
2.287 * * * * [progress]: [ 27 / 27 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.287 * [simplify]: Simplifying (+ N (+ (pow N 2) 1))
2.287 * * [simplify]: iters left: 5 (6 enodes)
2.289 * * [simplify]: iters left: 4 (28 enodes)
2.293 * * [simplify]: iters left: 3 (41 enodes)
2.299 * * [simplify]: iters left: 2 (50 enodes)
2.307 * * [simplify]: iters left: 1 (57 enodes)
2.314 * * [simplify]: Extracting #0: cost 1 inf + 0
2.314 * * [simplify]: Extracting #1: cost 8 inf + 0
2.314 * * [simplify]: Extracting #2: cost 11 inf + 2
2.314 * * [simplify]: Extracting #3: cost 0 inf + 589
2.314 * [simplify]: Simplified to (fma N N (+ 1 N))
2.314 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N N (+ 1 N))))
2.315 * * * [progress]: adding candidates to table
2.494 * * [progress]: iteration 3 / 4
2.494 * * * [progress]: picking best candidate
2.501 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.501 * * * [progress]: localizing error
2.535 * * * [progress]: generating rewritten candidates
2.535 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
2.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
2.537 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
2.539 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.556 * * * [progress]: generating series expansions
2.556 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
2.556 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
2.556 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
2.556 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
2.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
2.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
2.556 * [taylor]: Taking taylor expansion of 1/3 in N
2.556 * [backup-simplify]: Simplify 1/3 into 1/3
2.556 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
2.556 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.556 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.556 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of 1 in N
2.557 * [backup-simplify]: Simplify 1 into 1
2.557 * [taylor]: Taking taylor expansion of 1 in N
2.557 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (+ 0 1) into 1
2.558 * [backup-simplify]: Simplify (* 0 1) into 0
2.559 * [backup-simplify]: Simplify (+ 0 1) into 1
2.559 * [backup-simplify]: Simplify (log 1) into 0
2.559 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.560 * [backup-simplify]: Simplify (+ 1 0) into 1
2.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.561 * [backup-simplify]: Simplify (+ 1 0) into 1
2.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.562 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
2.562 * [backup-simplify]: Simplify (exp 0) into 1
2.562 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
2.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
2.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
2.562 * [taylor]: Taking taylor expansion of 1/3 in N
2.562 * [backup-simplify]: Simplify 1/3 into 1/3
2.562 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
2.562 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.562 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.562 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.562 * [taylor]: Taking taylor expansion of N in N
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.562 * [taylor]: Taking taylor expansion of N in N
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [taylor]: Taking taylor expansion of 1 in N
2.562 * [backup-simplify]: Simplify 1 into 1
2.563 * [taylor]: Taking taylor expansion of 1 in N
2.563 * [backup-simplify]: Simplify 1 into 1
2.563 * [backup-simplify]: Simplify (+ 0 1) into 1
2.563 * [backup-simplify]: Simplify (* 0 1) into 0
2.563 * [backup-simplify]: Simplify (+ 0 1) into 1
2.564 * [backup-simplify]: Simplify (log 1) into 0
2.564 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.564 * [backup-simplify]: Simplify (+ 1 0) into 1
2.564 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.565 * [backup-simplify]: Simplify (+ 1 0) into 1
2.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.566 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
2.566 * [backup-simplify]: Simplify (exp 0) into 1
2.566 * [backup-simplify]: Simplify 1 into 1
2.567 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
2.567 * [backup-simplify]: Simplify 1/3 into 1/3
2.567 * [backup-simplify]: Simplify (+ 0 0) into 0
2.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.568 * [backup-simplify]: Simplify (+ 1 0) into 1
2.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.570 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
2.571 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
2.571 * [backup-simplify]: Simplify 2/9 into 2/9
2.571 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
2.571 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
2.571 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
2.571 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
2.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
2.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
2.571 * [taylor]: Taking taylor expansion of 1/3 in N
2.571 * [backup-simplify]: Simplify 1/3 into 1/3
2.571 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.571 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.571 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.571 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.571 * [taylor]: Taking taylor expansion of N in N
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.572 * [taylor]: Taking taylor expansion of N in N
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [taylor]: Taking taylor expansion of 1 in N
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [taylor]: Taking taylor expansion of 1 in N
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (+ 1 0) into 1
2.572 * [backup-simplify]: Simplify (* 1 1) into 1
2.573 * [backup-simplify]: Simplify (+ 1 0) into 1
2.573 * [backup-simplify]: Simplify (log 1) into 0
2.573 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.573 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.573 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.573 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
2.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
2.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
2.573 * [taylor]: Taking taylor expansion of 1/3 in N
2.573 * [backup-simplify]: Simplify 1/3 into 1/3
2.573 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.573 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.574 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.574 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.574 * [taylor]: Taking taylor expansion of N in N
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.574 * [taylor]: Taking taylor expansion of N in N
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [taylor]: Taking taylor expansion of 1 in N
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [taylor]: Taking taylor expansion of 1 in N
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (+ 1 0) into 1
2.575 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (+ 1 0) into 1
2.575 * [backup-simplify]: Simplify (log 1) into 0
2.576 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.576 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.576 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.576 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (+ 0 1) into 1
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.578 * [backup-simplify]: Simplify (+ 1 0) into 1
2.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.579 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
2.579 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
2.580 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.582 * [backup-simplify]: Simplify (+ 0 1) into 1
2.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.584 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.584 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
2.585 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.585 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.586 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
2.586 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
2.586 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
2.586 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
2.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
2.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
2.586 * [taylor]: Taking taylor expansion of 1/3 in N
2.586 * [backup-simplify]: Simplify 1/3 into 1/3
2.586 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.586 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.586 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.586 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.586 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.586 * [taylor]: Taking taylor expansion of -1 in N
2.586 * [backup-simplify]: Simplify -1 into -1
2.586 * [taylor]: Taking taylor expansion of N in N
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 1 into 1
2.586 * [backup-simplify]: Simplify (/ -1 1) into -1
2.586 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.586 * [taylor]: Taking taylor expansion of 1 in N
2.586 * [backup-simplify]: Simplify 1 into 1
2.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.586 * [taylor]: Taking taylor expansion of N in N
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 1 into 1
2.587 * [backup-simplify]: Simplify (/ 1 1) into 1
2.587 * [taylor]: Taking taylor expansion of 1 in N
2.587 * [backup-simplify]: Simplify 1 into 1
2.587 * [backup-simplify]: Simplify (- 1) into -1
2.587 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.587 * [backup-simplify]: Simplify (* -1 -1) into 1
2.588 * [backup-simplify]: Simplify (+ 1 0) into 1
2.588 * [backup-simplify]: Simplify (log 1) into 0
2.588 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.588 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.588 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.588 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
2.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
2.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
2.588 * [taylor]: Taking taylor expansion of 1/3 in N
2.588 * [backup-simplify]: Simplify 1/3 into 1/3
2.588 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.588 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.589 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.589 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.589 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.589 * [taylor]: Taking taylor expansion of -1 in N
2.589 * [backup-simplify]: Simplify -1 into -1
2.589 * [taylor]: Taking taylor expansion of N in N
2.589 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify 1 into 1
2.589 * [backup-simplify]: Simplify (/ -1 1) into -1
2.589 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.589 * [taylor]: Taking taylor expansion of 1 in N
2.589 * [backup-simplify]: Simplify 1 into 1
2.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.589 * [taylor]: Taking taylor expansion of N in N
2.589 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify 1 into 1
2.589 * [backup-simplify]: Simplify (/ 1 1) into 1
2.589 * [taylor]: Taking taylor expansion of 1 in N
2.589 * [backup-simplify]: Simplify 1 into 1
2.590 * [backup-simplify]: Simplify (- 1) into -1
2.590 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.590 * [backup-simplify]: Simplify (* -1 -1) into 1
2.590 * [backup-simplify]: Simplify (+ 1 0) into 1
2.591 * [backup-simplify]: Simplify (log 1) into 0
2.591 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.591 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.591 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.591 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.592 * [backup-simplify]: Simplify (- 0) into 0
2.592 * [backup-simplify]: Simplify (+ 1 0) into 1
2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.593 * [backup-simplify]: Simplify (+ -1 0) into -1
2.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
2.594 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.595 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
2.595 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
2.595 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.596 * [backup-simplify]: Simplify (- 0) into 0
2.596 * [backup-simplify]: Simplify (+ 0 0) into 0
2.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.598 * [backup-simplify]: Simplify (+ 0 1) into 1
2.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.602 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.602 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
2.604 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.604 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.605 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
2.605 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
2.605 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
2.605 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
2.605 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
2.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
2.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
2.605 * [taylor]: Taking taylor expansion of 1/3 in N
2.605 * [backup-simplify]: Simplify 1/3 into 1/3
2.605 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
2.605 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.606 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.606 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.606 * [taylor]: Taking taylor expansion of N in N
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.606 * [taylor]: Taking taylor expansion of N in N
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [taylor]: Taking taylor expansion of 1 in N
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [taylor]: Taking taylor expansion of 1 in N
2.606 * [backup-simplify]: Simplify 1 into 1
2.607 * [backup-simplify]: Simplify (+ 0 1) into 1
2.607 * [backup-simplify]: Simplify (* 0 1) into 0
2.607 * [backup-simplify]: Simplify (+ 0 1) into 1
2.608 * [backup-simplify]: Simplify (log 1) into 0
2.608 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.609 * [backup-simplify]: Simplify (+ 1 0) into 1
2.609 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.610 * [backup-simplify]: Simplify (+ 1 0) into 1
2.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.612 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
2.612 * [backup-simplify]: Simplify (exp 0) into 1
2.612 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
2.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
2.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
2.612 * [taylor]: Taking taylor expansion of 1/3 in N
2.612 * [backup-simplify]: Simplify 1/3 into 1/3
2.612 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
2.612 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.612 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.612 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.612 * [taylor]: Taking taylor expansion of N in N
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 1 into 1
2.612 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.612 * [taylor]: Taking taylor expansion of N in N
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 1 into 1
2.612 * [taylor]: Taking taylor expansion of 1 in N
2.612 * [backup-simplify]: Simplify 1 into 1
2.612 * [taylor]: Taking taylor expansion of 1 in N
2.612 * [backup-simplify]: Simplify 1 into 1
2.613 * [backup-simplify]: Simplify (+ 0 1) into 1
2.613 * [backup-simplify]: Simplify (* 0 1) into 0
2.613 * [backup-simplify]: Simplify (+ 0 1) into 1
2.614 * [backup-simplify]: Simplify (log 1) into 0
2.614 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.615 * [backup-simplify]: Simplify (+ 1 0) into 1
2.615 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.616 * [backup-simplify]: Simplify (+ 1 0) into 1
2.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.618 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
2.618 * [backup-simplify]: Simplify (exp 0) into 1
2.618 * [backup-simplify]: Simplify 1 into 1
2.619 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
2.619 * [backup-simplify]: Simplify 1/3 into 1/3
2.619 * [backup-simplify]: Simplify (+ 0 0) into 0
2.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.621 * [backup-simplify]: Simplify (+ 1 0) into 1
2.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.629 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
2.630 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
2.630 * [backup-simplify]: Simplify 2/9 into 2/9
2.631 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
2.631 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
2.631 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
2.631 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
2.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
2.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
2.631 * [taylor]: Taking taylor expansion of 1/3 in N
2.631 * [backup-simplify]: Simplify 1/3 into 1/3
2.631 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.631 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.631 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.631 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.631 * [taylor]: Taking taylor expansion of N in N
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.632 * [backup-simplify]: Simplify (/ 1 1) into 1
2.632 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.632 * [taylor]: Taking taylor expansion of N in N
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [backup-simplify]: Simplify (/ 1 1) into 1
2.632 * [taylor]: Taking taylor expansion of 1 in N
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [taylor]: Taking taylor expansion of 1 in N
2.632 * [backup-simplify]: Simplify 1 into 1
2.633 * [backup-simplify]: Simplify (+ 1 0) into 1
2.633 * [backup-simplify]: Simplify (* 1 1) into 1
2.634 * [backup-simplify]: Simplify (+ 1 0) into 1
2.634 * [backup-simplify]: Simplify (log 1) into 0
2.634 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.634 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.635 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.635 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
2.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
2.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
2.635 * [taylor]: Taking taylor expansion of 1/3 in N
2.635 * [backup-simplify]: Simplify 1/3 into 1/3
2.635 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.635 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.635 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.635 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.635 * [taylor]: Taking taylor expansion of N in N
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 1 into 1
2.635 * [backup-simplify]: Simplify (/ 1 1) into 1
2.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.635 * [taylor]: Taking taylor expansion of N in N
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 1 into 1
2.636 * [backup-simplify]: Simplify (/ 1 1) into 1
2.636 * [taylor]: Taking taylor expansion of 1 in N
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [taylor]: Taking taylor expansion of 1 in N
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [backup-simplify]: Simplify (+ 1 0) into 1
2.637 * [backup-simplify]: Simplify (* 1 1) into 1
2.637 * [backup-simplify]: Simplify (+ 1 0) into 1
2.637 * [backup-simplify]: Simplify (log 1) into 0
2.638 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.638 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.638 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.638 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.639 * [backup-simplify]: Simplify (+ 0 1) into 1
2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.641 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.641 * [backup-simplify]: Simplify (+ 1 0) into 1
2.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.643 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.643 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
2.644 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
2.644 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.648 * [backup-simplify]: Simplify (+ 0 1) into 1
2.650 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.651 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.651 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
2.653 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.653 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.654 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
2.654 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
2.654 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
2.654 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
2.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
2.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
2.654 * [taylor]: Taking taylor expansion of 1/3 in N
2.654 * [backup-simplify]: Simplify 1/3 into 1/3
2.654 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.654 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.654 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.654 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.654 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.654 * [taylor]: Taking taylor expansion of -1 in N
2.654 * [backup-simplify]: Simplify -1 into -1
2.654 * [taylor]: Taking taylor expansion of N in N
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify 1 into 1
2.655 * [backup-simplify]: Simplify (/ -1 1) into -1
2.655 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.655 * [taylor]: Taking taylor expansion of 1 in N
2.655 * [backup-simplify]: Simplify 1 into 1
2.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.655 * [taylor]: Taking taylor expansion of N in N
2.655 * [backup-simplify]: Simplify 0 into 0
2.655 * [backup-simplify]: Simplify 1 into 1
2.655 * [backup-simplify]: Simplify (/ 1 1) into 1
2.655 * [taylor]: Taking taylor expansion of 1 in N
2.655 * [backup-simplify]: Simplify 1 into 1
2.656 * [backup-simplify]: Simplify (- 1) into -1
2.657 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.657 * [backup-simplify]: Simplify (* -1 -1) into 1
2.657 * [backup-simplify]: Simplify (+ 1 0) into 1
2.658 * [backup-simplify]: Simplify (log 1) into 0
2.658 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.658 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.658 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.659 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
2.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
2.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
2.659 * [taylor]: Taking taylor expansion of 1/3 in N
2.659 * [backup-simplify]: Simplify 1/3 into 1/3
2.659 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.659 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.659 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.659 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.659 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.659 * [taylor]: Taking taylor expansion of -1 in N
2.659 * [backup-simplify]: Simplify -1 into -1
2.659 * [taylor]: Taking taylor expansion of N in N
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (/ -1 1) into -1
2.659 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.659 * [taylor]: Taking taylor expansion of 1 in N
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.659 * [taylor]: Taking taylor expansion of N in N
2.659 * [backup-simplify]: Simplify 0 into 0
2.660 * [backup-simplify]: Simplify 1 into 1
2.660 * [backup-simplify]: Simplify (/ 1 1) into 1
2.660 * [taylor]: Taking taylor expansion of 1 in N
2.660 * [backup-simplify]: Simplify 1 into 1
2.660 * [backup-simplify]: Simplify (- 1) into -1
2.661 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.661 * [backup-simplify]: Simplify (* -1 -1) into 1
2.661 * [backup-simplify]: Simplify (+ 1 0) into 1
2.662 * [backup-simplify]: Simplify (log 1) into 0
2.662 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.662 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.662 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.663 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (- 0) into 0
2.664 * [backup-simplify]: Simplify (+ 1 0) into 1
2.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.666 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.666 * [backup-simplify]: Simplify (+ -1 0) into -1
2.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
2.668 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.668 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
2.669 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
2.669 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify (- 0) into 0
2.671 * [backup-simplify]: Simplify (+ 0 0) into 0
2.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.673 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.673 * [backup-simplify]: Simplify (+ 0 1) into 1
2.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.677 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.678 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
2.679 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.680 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.680 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
2.680 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
2.680 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
2.681 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
2.681 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
2.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
2.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
2.681 * [taylor]: Taking taylor expansion of 1/3 in N
2.681 * [backup-simplify]: Simplify 1/3 into 1/3
2.681 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
2.681 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.681 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.681 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.681 * [taylor]: Taking taylor expansion of N in N
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.681 * [taylor]: Taking taylor expansion of N in N
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [taylor]: Taking taylor expansion of 1 in N
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [taylor]: Taking taylor expansion of 1 in N
2.681 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (+ 0 1) into 1
2.682 * [backup-simplify]: Simplify (* 0 1) into 0
2.683 * [backup-simplify]: Simplify (+ 0 1) into 1
2.683 * [backup-simplify]: Simplify (log 1) into 0
2.684 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.684 * [backup-simplify]: Simplify (+ 1 0) into 1
2.685 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.685 * [backup-simplify]: Simplify (+ 1 0) into 1
2.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.687 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
2.687 * [backup-simplify]: Simplify (exp 0) into 1
2.687 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
2.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
2.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
2.687 * [taylor]: Taking taylor expansion of 1/3 in N
2.687 * [backup-simplify]: Simplify 1/3 into 1/3
2.687 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
2.687 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.688 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.688 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.688 * [taylor]: Taking taylor expansion of N in N
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.688 * [taylor]: Taking taylor expansion of N in N
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [taylor]: Taking taylor expansion of 1 in N
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [taylor]: Taking taylor expansion of 1 in N
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [backup-simplify]: Simplify (+ 0 1) into 1
2.689 * [backup-simplify]: Simplify (* 0 1) into 0
2.689 * [backup-simplify]: Simplify (+ 0 1) into 1
2.689 * [backup-simplify]: Simplify (log 1) into 0
2.690 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.690 * [backup-simplify]: Simplify (+ 1 0) into 1
2.691 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.691 * [backup-simplify]: Simplify (+ 1 0) into 1
2.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.693 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
2.693 * [backup-simplify]: Simplify (exp 0) into 1
2.693 * [backup-simplify]: Simplify 1 into 1
2.694 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
2.694 * [backup-simplify]: Simplify 1/3 into 1/3
2.695 * [backup-simplify]: Simplify (+ 0 0) into 0
2.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.696 * [backup-simplify]: Simplify (+ 1 0) into 1
2.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.700 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
2.702 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
2.702 * [backup-simplify]: Simplify 2/9 into 2/9
2.702 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
2.702 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
2.702 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
2.702 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
2.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
2.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
2.702 * [taylor]: Taking taylor expansion of 1/3 in N
2.702 * [backup-simplify]: Simplify 1/3 into 1/3
2.702 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.702 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.703 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.703 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.703 * [taylor]: Taking taylor expansion of N in N
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [backup-simplify]: Simplify (/ 1 1) into 1
2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.703 * [taylor]: Taking taylor expansion of N in N
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (/ 1 1) into 1
2.704 * [taylor]: Taking taylor expansion of 1 in N
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [taylor]: Taking taylor expansion of 1 in N
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (+ 1 0) into 1
2.705 * [backup-simplify]: Simplify (* 1 1) into 1
2.705 * [backup-simplify]: Simplify (+ 1 0) into 1
2.705 * [backup-simplify]: Simplify (log 1) into 0
2.706 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.706 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.706 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.706 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
2.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
2.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
2.706 * [taylor]: Taking taylor expansion of 1/3 in N
2.706 * [backup-simplify]: Simplify 1/3 into 1/3
2.706 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
2.707 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.707 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.707 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.707 * [taylor]: Taking taylor expansion of N in N
2.707 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify 1 into 1
2.707 * [backup-simplify]: Simplify (/ 1 1) into 1
2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.707 * [taylor]: Taking taylor expansion of N in N
2.707 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify 1 into 1
2.708 * [backup-simplify]: Simplify (/ 1 1) into 1
2.708 * [taylor]: Taking taylor expansion of 1 in N
2.708 * [backup-simplify]: Simplify 1 into 1
2.708 * [taylor]: Taking taylor expansion of 1 in N
2.708 * [backup-simplify]: Simplify 1 into 1
2.708 * [backup-simplify]: Simplify (+ 1 0) into 1
2.709 * [backup-simplify]: Simplify (* 1 1) into 1
2.709 * [backup-simplify]: Simplify (+ 1 0) into 1
2.709 * [backup-simplify]: Simplify (log 1) into 0
2.710 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.710 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.710 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.710 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (+ 0 1) into 1
2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.713 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.713 * [backup-simplify]: Simplify (+ 1 0) into 1
2.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
2.715 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.716 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
2.717 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
2.717 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.720 * [backup-simplify]: Simplify (+ 0 1) into 1
2.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.724 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.725 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
2.726 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.726 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.727 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
2.727 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
2.727 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
2.727 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
2.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
2.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
2.727 * [taylor]: Taking taylor expansion of 1/3 in N
2.727 * [backup-simplify]: Simplify 1/3 into 1/3
2.727 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.727 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.727 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.727 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.727 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.727 * [taylor]: Taking taylor expansion of -1 in N
2.728 * [backup-simplify]: Simplify -1 into -1
2.728 * [taylor]: Taking taylor expansion of N in N
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (/ -1 1) into -1
2.728 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.728 * [taylor]: Taking taylor expansion of 1 in N
2.728 * [backup-simplify]: Simplify 1 into 1
2.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.728 * [taylor]: Taking taylor expansion of N in N
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 1 into 1
2.729 * [backup-simplify]: Simplify (/ 1 1) into 1
2.729 * [taylor]: Taking taylor expansion of 1 in N
2.729 * [backup-simplify]: Simplify 1 into 1
2.729 * [backup-simplify]: Simplify (- 1) into -1
2.730 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.730 * [backup-simplify]: Simplify (* -1 -1) into 1
2.730 * [backup-simplify]: Simplify (+ 1 0) into 1
2.731 * [backup-simplify]: Simplify (log 1) into 0
2.731 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.731 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.731 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.731 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
2.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
2.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
2.732 * [taylor]: Taking taylor expansion of 1/3 in N
2.732 * [backup-simplify]: Simplify 1/3 into 1/3
2.732 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
2.732 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.732 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.732 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.732 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.732 * [taylor]: Taking taylor expansion of -1 in N
2.732 * [backup-simplify]: Simplify -1 into -1
2.732 * [taylor]: Taking taylor expansion of N in N
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (/ -1 1) into -1
2.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.732 * [taylor]: Taking taylor expansion of 1 in N
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.732 * [taylor]: Taking taylor expansion of N in N
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify (/ 1 1) into 1
2.733 * [taylor]: Taking taylor expansion of 1 in N
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify (- 1) into -1
2.734 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.734 * [backup-simplify]: Simplify (* -1 -1) into 1
2.735 * [backup-simplify]: Simplify (+ 1 0) into 1
2.735 * [backup-simplify]: Simplify (log 1) into 0
2.735 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.735 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
2.736 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
2.736 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.737 * [backup-simplify]: Simplify (- 0) into 0
2.737 * [backup-simplify]: Simplify (+ 1 0) into 1
2.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.738 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.738 * [backup-simplify]: Simplify (+ -1 0) into -1
2.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
2.740 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.740 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
2.740 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
2.741 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (- 0) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.743 * [backup-simplify]: Simplify (+ 0 1) into 1
2.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
2.745 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
2.746 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
2.747 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.747 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
2.747 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
2.747 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
2.747 * [backup-simplify]: Simplify (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) into (pow (pow (fma N (+ N 1) 1) 2) 1/3)
2.747 * [approximate]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in (N) around 0
2.747 * [taylor]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in N
2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma N (+ N 1) 1) 2)))) in N
2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma N (+ N 1) 1) 2))) in N
2.747 * [taylor]: Taking taylor expansion of 1/3 in N
2.747 * [backup-simplify]: Simplify 1/3 into 1/3
2.747 * [taylor]: Taking taylor expansion of (log (pow (fma N (+ N 1) 1) 2)) in N
2.747 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 2) in N
2.748 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.748 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.748 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
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 * [taylor]: Taking taylor expansion of (+ N 1) in N
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 * [taylor]: Taking taylor expansion of 1 in N
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [taylor]: Taking taylor expansion of 1 in N
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (+ 0 1) into 1
2.748 * [backup-simplify]: Simplify (* 0 1) into 0
2.749 * [backup-simplify]: Simplify (+ 0 1) into 1
2.749 * [backup-simplify]: Simplify (* 1 1) into 1
2.749 * [backup-simplify]: Simplify (log 1) into 0
2.749 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.750 * [backup-simplify]: Simplify (+ 1 0) into 1
2.750 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.750 * [backup-simplify]: Simplify (+ 1 0) into 1
2.750 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
2.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
2.752 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3
2.752 * [backup-simplify]: Simplify (exp 0) into 1
2.752 * [taylor]: Taking taylor expansion of (pow (pow (fma N (+ N 1) 1) 2) 1/3) in N
2.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma N (+ N 1) 1) 2)))) in N
2.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma N (+ N 1) 1) 2))) in N
2.752 * [taylor]: Taking taylor expansion of 1/3 in N
2.752 * [backup-simplify]: Simplify 1/3 into 1/3
2.752 * [taylor]: Taking taylor expansion of (log (pow (fma N (+ N 1) 1) 2)) in N
2.752 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 2) in N
2.752 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
2.752 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
2.752 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
2.752 * [taylor]: Taking taylor expansion of N in N
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.752 * [taylor]: Taking taylor expansion of (+ N 1) in N
2.752 * [taylor]: Taking taylor expansion of N in N
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.752 * [taylor]: Taking taylor expansion of 1 in N
2.752 * [backup-simplify]: Simplify 1 into 1
2.752 * [taylor]: Taking taylor expansion of 1 in N
2.752 * [backup-simplify]: Simplify 1 into 1
2.752 * [backup-simplify]: Simplify (+ 0 1) into 1
2.753 * [backup-simplify]: Simplify (* 0 1) into 0
2.753 * [backup-simplify]: Simplify (+ 0 1) into 1
2.753 * [backup-simplify]: Simplify (* 1 1) into 1
2.753 * [backup-simplify]: Simplify (log 1) into 0
2.754 * [backup-simplify]: Simplify (* 1/3 0) into 0
2.754 * [backup-simplify]: Simplify (+ 1 0) into 1
2.754 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
2.755 * [backup-simplify]: Simplify (+ 1 0) into 1
2.755 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
2.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
2.756 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3
2.756 * [backup-simplify]: Simplify (exp 0) into 1
2.756 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3
2.757 * [backup-simplify]: Simplify 2/3 into 2/3
2.757 * [backup-simplify]: Simplify (+ 0 0) into 0
2.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
2.760 * [backup-simplify]: Simplify (+ 1 0) into 1
2.760 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3
2.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1
2.762 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 0))) into 1/3
2.763 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into 5/9
2.763 * [backup-simplify]: Simplify 5/9 into 5/9
2.763 * [backup-simplify]: Simplify (+ (* 5/9 (pow N 2)) (+ (* 2/3 N) 1)) into (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1))
2.764 * [backup-simplify]: Simplify (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3)
2.764 * [approximate]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in (N) around 0
2.764 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in N
2.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)))) in N
2.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2))) in N
2.764 * [taylor]: Taking taylor expansion of 1/3 in N
2.764 * [backup-simplify]: Simplify 1/3 into 1/3
2.764 * [taylor]: Taking taylor expansion of (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)) in N
2.764 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) in N
2.764 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.764 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.764 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.764 * [taylor]: Taking taylor expansion of N in N
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.764 * [backup-simplify]: Simplify (/ 1 1) into 1
2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.764 * [taylor]: Taking taylor expansion of N in N
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (/ 1 1) into 1
2.765 * [taylor]: Taking taylor expansion of 1 in N
2.765 * [backup-simplify]: Simplify 1 into 1
2.765 * [taylor]: Taking taylor expansion of 1 in N
2.765 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (+ 1 0) into 1
2.765 * [backup-simplify]: Simplify (* 1 1) into 1
2.766 * [backup-simplify]: Simplify (+ 1 0) into 1
2.766 * [backup-simplify]: Simplify (* 1 1) into 1
2.766 * [backup-simplify]: Simplify (log 1) into 0
2.767 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.767 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
2.767 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
2.767 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) 1/3) in N
2.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)))) in N
2.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2))) in N
2.767 * [taylor]: Taking taylor expansion of 1/3 in N
2.767 * [backup-simplify]: Simplify 1/3 into 1/3
2.767 * [taylor]: Taking taylor expansion of (log (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2)) in N
2.767 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2) in N
2.767 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
2.767 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
2.767 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
2.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.767 * [taylor]: Taking taylor expansion of N in N
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 1 into 1
2.768 * [backup-simplify]: Simplify (/ 1 1) into 1
2.768 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
2.768 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.768 * [taylor]: Taking taylor expansion of N in N
2.768 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify 1 into 1
2.768 * [backup-simplify]: Simplify (/ 1 1) into 1
2.768 * [taylor]: Taking taylor expansion of 1 in N
2.768 * [backup-simplify]: Simplify 1 into 1
2.768 * [taylor]: Taking taylor expansion of 1 in N
2.768 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (+ 1 0) into 1
2.769 * [backup-simplify]: Simplify (* 1 1) into 1
2.770 * [backup-simplify]: Simplify (+ 1 0) into 1
2.770 * [backup-simplify]: Simplify (* 1 1) into 1
2.770 * [backup-simplify]: Simplify (log 1) into 0
2.771 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.771 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
2.771 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
2.771 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (+ 0 1) into 1
2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
2.774 * [backup-simplify]: Simplify (+ 1 0) into 1
2.774 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
2.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
2.776 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.777 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3
2.778 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3))
2.778 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3))
2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify (+ 0 0) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
2.782 * [backup-simplify]: Simplify (+ 0 1) into 1
2.783 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3
2.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1
2.786 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.787 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into 1/3
2.788 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
2.788 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
2.789 * [backup-simplify]: Simplify (+ (* (* 5/9 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3))))
2.789 * [backup-simplify]: Simplify (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) into (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3)
2.789 * [approximate]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in (N) around 0
2.789 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in N
2.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)))) in N
2.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2))) in N
2.790 * [taylor]: Taking taylor expansion of 1/3 in N
2.790 * [backup-simplify]: Simplify 1/3 into 1/3
2.790 * [taylor]: Taking taylor expansion of (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)) in N
2.790 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) in N
2.790 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.790 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.790 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.790 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.790 * [taylor]: Taking taylor expansion of -1 in N
2.790 * [backup-simplify]: Simplify -1 into -1
2.790 * [taylor]: Taking taylor expansion of N in N
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.790 * [backup-simplify]: Simplify (/ -1 1) into -1
2.790 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.790 * [taylor]: Taking taylor expansion of 1 in N
2.790 * [backup-simplify]: Simplify 1 into 1
2.790 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.790 * [taylor]: Taking taylor expansion of N in N
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (/ 1 1) into 1
2.791 * [taylor]: Taking taylor expansion of 1 in N
2.791 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (- 1) into -1
2.792 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.792 * [backup-simplify]: Simplify (* -1 -1) into 1
2.793 * [backup-simplify]: Simplify (+ 1 0) into 1
2.793 * [backup-simplify]: Simplify (* 1 1) into 1
2.793 * [backup-simplify]: Simplify (log 1) into 0
2.794 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.794 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
2.794 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
2.794 * [taylor]: Taking taylor expansion of (pow (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) 1/3) in N
2.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)))) in N
2.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2))) in N
2.794 * [taylor]: Taking taylor expansion of 1/3 in N
2.794 * [backup-simplify]: Simplify 1/3 into 1/3
2.794 * [taylor]: Taking taylor expansion of (log (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2)) in N
2.794 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2) in N
2.794 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
2.794 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
2.794 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
2.794 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.794 * [taylor]: Taking taylor expansion of -1 in N
2.794 * [backup-simplify]: Simplify -1 into -1
2.794 * [taylor]: Taking taylor expansion of N in N
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 1 into 1
2.794 * [backup-simplify]: Simplify (/ -1 1) into -1
2.794 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
2.794 * [taylor]: Taking taylor expansion of 1 in N
2.794 * [backup-simplify]: Simplify 1 into 1
2.794 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.794 * [taylor]: Taking taylor expansion of N in N
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (/ 1 1) into 1
2.795 * [taylor]: Taking taylor expansion of 1 in N
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (- 1) into -1
2.795 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.795 * [backup-simplify]: Simplify (* -1 -1) into 1
2.796 * [backup-simplify]: Simplify (+ 1 0) into 1
2.796 * [backup-simplify]: Simplify (* 1 1) into 1
2.796 * [backup-simplify]: Simplify (log 1) into 0
2.796 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.797 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N))
2.797 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3)
2.797 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3)
2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.797 * [backup-simplify]: Simplify (- 0) into 0
2.798 * [backup-simplify]: Simplify (+ 1 0) into 1
2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.799 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
2.799 * [backup-simplify]: Simplify (+ -1 0) into -1
2.799 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2
2.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
2.800 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.801 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3)
2.801 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3))
2.801 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3))
2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.802 * [backup-simplify]: Simplify (- 0) into 0
2.803 * [backup-simplify]: Simplify (+ 0 0) into 0
2.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
2.804 * [backup-simplify]: Simplify (+ 0 1) into 1
2.804 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* -1 -1) (* 1 1))) into 3
2.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1
2.806 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N)))
2.807 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into 1/3
2.808 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
2.808 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3))
2.808 * [backup-simplify]: Simplify (+ (* (* 5/9 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/3 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -4/3))) into (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3)))
2.809 * * * [progress]: simplifying candidates
2.809 * * * * [progress]: [ 1 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (log1p (expm1 (cbrt (fma N (+ N 1) 1)))))))>
2.809 * * * * [progress]: [ 2 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (expm1 (log1p (cbrt (fma N (+ N 1) 1)))))))>
2.809 * * * * [progress]: [ 3 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (pow (fma N (+ N 1) 1) 1/3))))>
2.809 * * * * [progress]: [ 4 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (pow (cbrt (fma N (+ N 1) 1)) 1))))>
2.809 * * * * [progress]: [ 5 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (exp (log (cbrt (fma N (+ N 1) 1)))))))>
2.809 * * * * [progress]: [ 6 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (log (exp (cbrt (fma N (+ N 1) 1)))))))>
2.809 * * * * [progress]: [ 7 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))>
2.809 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
2.809 * * [simplify]: iters left: 6 (7 enodes)
2.811 * * [simplify]: iters left: 5 (26 enodes)
2.815 * * [simplify]: iters left: 4 (39 enodes)
2.822 * * [simplify]: iters left: 3 (46 enodes)
2.828 * * [simplify]: Extracting #0: cost 1 inf + 0
2.828 * * [simplify]: Extracting #1: cost 3 inf + 0
2.828 * * [simplify]: Extracting #2: cost 5 inf + 0
2.828 * * [simplify]: Extracting #3: cost 7 inf + 0
2.828 * * [simplify]: Extracting #4: cost 12 inf + 0
2.829 * * [simplify]: Extracting #5: cost 13 inf + 2
2.829 * * [simplify]: Extracting #6: cost 8 inf + 377
2.829 * * [simplify]: Extracting #7: cost 4 inf + 868
2.830 * * [simplify]: Extracting #8: cost 1 inf + 1559
2.830 * * [simplify]: Extracting #9: cost 0 inf + 1856
2.831 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
2.831 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))
2.831 * * * * [progress]: [ 8 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))>
2.831 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
2.831 * * [simplify]: iters left: 5 (6 enodes)
2.835 * * [simplify]: iters left: 4 (23 enodes)
2.842 * * [simplify]: iters left: 3 (36 enodes)
2.854 * * [simplify]: iters left: 2 (43 enodes)
2.864 * * [simplify]: Extracting #0: cost 1 inf + 0
2.864 * * [simplify]: Extracting #1: cost 3 inf + 0
2.864 * * [simplify]: Extracting #2: cost 5 inf + 0
2.864 * * [simplify]: Extracting #3: cost 10 inf + 0
2.864 * * [simplify]: Extracting #4: cost 10 inf + 44
2.865 * * [simplify]: Extracting #5: cost 6 inf + 336
2.865 * * [simplify]: Extracting #6: cost 1 inf + 965
2.865 * * [simplify]: Extracting #7: cost 0 inf + 1182
2.866 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
2.866 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1)))))))
2.866 * * * * [progress]: [ 9 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))>
2.866 * [simplify]: Simplifying (cbrt 1)
2.866 * * [simplify]: iters left: 1 (2 enodes)
2.870 * * [simplify]: Extracting #0: cost 1 inf + 0
2.870 * * [simplify]: Extracting #1: cost 0 inf + 1
2.870 * [simplify]: Simplified to 1
2.870 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* 1 (cbrt (fma N (+ N 1) 1))))))
2.870 * * * * [progress]: [ 10 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))>
2.870 * * * * [progress]: [ 11 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
2.870 * * * * [progress]: [ 12 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
2.870 * * * * [progress]: [ 13 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* 1 (cbrt (fma N (+ N 1) 1))))))>
2.870 * * * * [progress]: [ 14 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1)))))))>
2.870 * * * * [progress]: [ 15 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log1p (expm1 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.871 * * * * [progress]: [ 16 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (expm1 (log1p (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.871 * * * * [progress]: [ 17 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (fma N (+ N 1) 1) 1/3)) (cbrt (fma N (+ N 1) 1)))))>
2.871 * * * * [progress]: [ 18 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (cbrt (fma N (+ N 1) 1)) 1)) (cbrt (fma N (+ N 1) 1)))))>
2.871 * * * * [progress]: [ 19 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (exp (log (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.871 * * * * [progress]: [ 20 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log (exp (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.871 * * * * [progress]: [ 21 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.871 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
2.871 * * [simplify]: iters left: 6 (7 enodes)
2.876 * * [simplify]: iters left: 5 (26 enodes)
2.887 * * [simplify]: iters left: 4 (39 enodes)
2.899 * * [simplify]: iters left: 3 (46 enodes)
2.908 * * [simplify]: Extracting #0: cost 1 inf + 0
2.908 * * [simplify]: Extracting #1: cost 3 inf + 0
2.908 * * [simplify]: Extracting #2: cost 5 inf + 0
2.908 * * [simplify]: Extracting #3: cost 7 inf + 0
2.908 * * [simplify]: Extracting #4: cost 12 inf + 0
2.908 * * [simplify]: Extracting #5: cost 13 inf + 2
2.908 * * [simplify]: Extracting #6: cost 8 inf + 377
2.908 * * [simplify]: Extracting #7: cost 4 inf + 868
2.909 * * [simplify]: Extracting #8: cost 1 inf + 1559
2.909 * * [simplify]: Extracting #9: cost 0 inf + 1856
2.909 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
2.909 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
2.909 * * * * [progress]: [ 22 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.910 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
2.910 * * [simplify]: iters left: 5 (6 enodes)
2.911 * * [simplify]: iters left: 4 (23 enodes)
2.915 * * [simplify]: iters left: 3 (36 enodes)
2.920 * * [simplify]: iters left: 2 (43 enodes)
2.925 * * [simplify]: Extracting #0: cost 1 inf + 0
2.925 * * [simplify]: Extracting #1: cost 3 inf + 0
2.925 * * [simplify]: Extracting #2: cost 5 inf + 0
2.925 * * [simplify]: Extracting #3: cost 10 inf + 0
2.926 * * [simplify]: Extracting #4: cost 10 inf + 44
2.926 * * [simplify]: Extracting #5: cost 6 inf + 336
2.926 * * [simplify]: Extracting #6: cost 1 inf + 965
2.926 * * [simplify]: Extracting #7: cost 0 inf + 1182
2.926 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
2.926 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
2.926 * * * * [progress]: [ 23 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
2.927 * [simplify]: Simplifying (cbrt 1)
2.927 * * [simplify]: iters left: 1 (2 enodes)
2.929 * * [simplify]: Extracting #0: cost 1 inf + 0
2.929 * * [simplify]: Extracting #1: cost 0 inf + 1
2.929 * [simplify]: Simplified to 1
2.929 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* 1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
2.929 * * * * [progress]: [ 24 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 25 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 26 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 27 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* 1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 28 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 29 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log1p (expm1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 30 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (expm1 (log1p (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 31 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (fma N (+ N 1) 1) 1/3) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 32 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (cbrt (fma N (+ N 1) 1)) 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 33 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (exp (log (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 34 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log (exp (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * * * * [progress]: [ 35 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.929 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
2.929 * * [simplify]: iters left: 6 (7 enodes)
2.931 * * [simplify]: iters left: 5 (26 enodes)
2.935 * * [simplify]: iters left: 4 (39 enodes)
2.946 * * [simplify]: iters left: 3 (46 enodes)
2.957 * * [simplify]: Extracting #0: cost 1 inf + 0
2.957 * * [simplify]: Extracting #1: cost 3 inf + 0
2.957 * * [simplify]: Extracting #2: cost 5 inf + 0
2.957 * * [simplify]: Extracting #3: cost 7 inf + 0
2.957 * * [simplify]: Extracting #4: cost 12 inf + 0
2.957 * * [simplify]: Extracting #5: cost 13 inf + 2
2.957 * * [simplify]: Extracting #6: cost 8 inf + 377
2.958 * * [simplify]: Extracting #7: cost 4 inf + 868
2.958 * * [simplify]: Extracting #8: cost 1 inf + 1559
2.959 * * [simplify]: Extracting #9: cost 0 inf + 1856
2.959 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
2.960 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
2.960 * * * * [progress]: [ 36 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.960 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
2.960 * * [simplify]: iters left: 5 (6 enodes)
2.963 * * [simplify]: iters left: 4 (23 enodes)
2.971 * * [simplify]: iters left: 3 (36 enodes)
2.983 * * [simplify]: iters left: 2 (43 enodes)
2.993 * * [simplify]: Extracting #0: cost 1 inf + 0
2.993 * * [simplify]: Extracting #1: cost 3 inf + 0
2.993 * * [simplify]: Extracting #2: cost 5 inf + 0
2.993 * * [simplify]: Extracting #3: cost 10 inf + 0
2.993 * * [simplify]: Extracting #4: cost 10 inf + 44
2.994 * * [simplify]: Extracting #5: cost 6 inf + 336
2.994 * * [simplify]: Extracting #6: cost 1 inf + 965
2.994 * * [simplify]: Extracting #7: cost 0 inf + 1182
2.994 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
2.994 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
2.994 * * * * [progress]: [ 37 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.995 * [simplify]: Simplifying (cbrt 1)
2.995 * * [simplify]: iters left: 1 (2 enodes)
2.997 * * [simplify]: Extracting #0: cost 1 inf + 0
2.997 * * [simplify]: Extracting #1: cost 0 inf + 1
2.997 * [simplify]: Simplified to 1
2.997 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
2.997 * * * * [progress]: [ 38 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.997 * * * * [progress]: [ 39 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.997 * * * * [progress]: [ 40 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.997 * * * * [progress]: [ 41 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.997 * * * * [progress]: [ 42 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
2.997 * * * * [progress]: [ 43 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (log1p (expm1 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.998 * * * * [progress]: [ 44 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (expm1 (log1p (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
2.998 * * * * [progress]: [ 45 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (fma N (+ N 1) 1) (+ 1/3 1/3)) (cbrt (fma N (+ N 1) 1)))))>
2.998 * [simplify]: Simplifying (fma N (+ N 1) 1)
2.998 * * [simplify]: iters left: 3 (4 enodes)
2.999 * * [simplify]: iters left: 2 (17 enodes)
3.003 * * [simplify]: iters left: 1 (30 enodes)
3.009 * * [simplify]: Extracting #0: cost 1 inf + 0
3.009 * * [simplify]: Extracting #1: cost 6 inf + 0
3.009 * * [simplify]: Extracting #2: cost 7 inf + 2
3.010 * * [simplify]: Extracting #3: cost 1 inf + 433
3.010 * * [simplify]: Extracting #4: cost 0 inf + 474
3.010 * [simplify]: Simplified to (fma N (+ 1 N) 1)
3.010 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (fma N (+ 1 N) 1) (+ 1/3 1/3)) (cbrt (fma N (+ N 1) 1)))))
3.010 * [simplify]: Simplifying (+ 1/3 1/3)
3.010 * * [simplify]: iters left: 2 (2 enodes)
3.012 * * [simplify]: iters left: 1 (7 enodes)
3.013 * * [simplify]: Extracting #0: cost 1 inf + 0
3.013 * * [simplify]: Extracting #1: cost 0 inf + 1
3.013 * [simplify]: Simplified to 2/3
3.013 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (fma N (+ N 1) 1) 2/3) (cbrt (fma N (+ N 1) 1)))))
3.013 * * * * [progress]: [ 46 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ N 1) 1)) (+ 1 1)) (cbrt (fma N (+ N 1) 1)))))>
3.013 * [simplify]: Simplifying (cbrt (fma N (+ N 1) 1))
3.013 * * [simplify]: iters left: 4 (5 enodes)
3.015 * * [simplify]: iters left: 3 (20 enodes)
3.018 * * [simplify]: iters left: 2 (33 enodes)
3.024 * * [simplify]: iters left: 1 (40 enodes)
3.028 * * [simplify]: Extracting #0: cost 1 inf + 0
3.028 * * [simplify]: Extracting #1: cost 3 inf + 0
3.028 * * [simplify]: Extracting #2: cost 8 inf + 0
3.029 * * [simplify]: Extracting #3: cost 9 inf + 2
3.029 * * [simplify]: Extracting #4: cost 1 inf + 787
3.029 * * [simplify]: Extracting #5: cost 0 inf + 828
3.029 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
3.029 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) (+ 1 1)) (cbrt (fma N (+ N 1) 1)))))
3.029 * [simplify]: Simplifying (+ 1 1)
3.029 * * [simplify]: iters left: 2 (2 enodes)
3.031 * * [simplify]: iters left: 1 (9 enodes)
3.032 * * [simplify]: Extracting #0: cost 1 inf + 0
3.032 * * [simplify]: Extracting #1: cost 0 inf + 1
3.032 * [simplify]: Simplified to 2
3.033 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ N 1) 1)) 2) (cbrt (fma N (+ N 1) 1)))))
3.033 * * * * [progress]: [ 47 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)) 1/3) (cbrt (fma N (+ N 1) 1)))))>
3.033 * [simplify]: Simplifying (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))
3.033 * * [simplify]: iters left: 5 (5 enodes)
3.034 * * [simplify]: iters left: 4 (20 enodes)
3.038 * * [simplify]: iters left: 3 (39 enodes)
3.054 * * [simplify]: iters left: 2 (73 enodes)
3.083 * * [simplify]: iters left: 1 (165 enodes)
3.201 * * [simplify]: Extracting #0: cost 1 inf + 0
3.201 * * [simplify]: Extracting #1: cost 21 inf + 0
3.201 * * [simplify]: Extracting #2: cost 71 inf + 2
3.202 * * [simplify]: Extracting #3: cost 51 inf + 3570
3.205 * * [simplify]: Extracting #4: cost 5 inf + 10191
3.208 * * [simplify]: Extracting #5: cost 0 inf + 10910
3.212 * [simplify]: Simplified to (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1))
3.212 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) 1/3) (cbrt (fma N (+ N 1) 1)))))
3.212 * * * * [progress]: [ 48 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) 1) (cbrt (fma N (+ N 1) 1)))))>
3.212 * [simplify]: Simplifying (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))
3.212 * * [simplify]: iters left: 6 (6 enodes)
3.214 * * [simplify]: iters left: 5 (23 enodes)
3.222 * * [simplify]: iters left: 4 (36 enodes)
3.234 * * [simplify]: iters left: 3 (43 enodes)
3.244 * * [simplify]: Extracting #0: cost 1 inf + 0
3.244 * * [simplify]: Extracting #1: cost 3 inf + 0
3.244 * * [simplify]: Extracting #2: cost 5 inf + 0
3.244 * * [simplify]: Extracting #3: cost 10 inf + 0
3.244 * * [simplify]: Extracting #4: cost 10 inf + 44
3.245 * * [simplify]: Extracting #5: cost 6 inf + 336
3.245 * * [simplify]: Extracting #6: cost 1 inf + 1045
3.245 * * [simplify]: Extracting #7: cost 0 inf + 1262
3.246 * [simplify]: Simplified to (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))
3.246 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N)))) 1) (cbrt (fma N (+ N 1) 1)))))
3.246 * * * * [progress]: [ 49 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ N 1) 1)) 2) (cbrt (fma N (+ N 1) 1)))))>
3.246 * * * * [progress]: [ 50 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ N 1) 1)) (+ 1 1)) (cbrt (fma N (+ N 1) 1)))))>
3.247 * [simplify]: Simplifying (cbrt (fma N (+ N 1) 1))
3.247 * * [simplify]: iters left: 4 (5 enodes)
3.249 * * [simplify]: iters left: 3 (20 enodes)
3.256 * * [simplify]: iters left: 2 (33 enodes)
3.269 * * [simplify]: iters left: 1 (40 enodes)
3.278 * * [simplify]: Extracting #0: cost 1 inf + 0
3.279 * * [simplify]: Extracting #1: cost 3 inf + 0
3.279 * * [simplify]: Extracting #2: cost 8 inf + 0
3.279 * * [simplify]: Extracting #3: cost 9 inf + 2
3.279 * * [simplify]: Extracting #4: cost 1 inf + 787
3.279 * * [simplify]: Extracting #5: cost 0 inf + 828
3.280 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
3.280 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) (+ 1 1)) (cbrt (fma N (+ N 1) 1)))))
3.280 * * * * [progress]: [ 51 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) 1) (cbrt (fma N (+ N 1) 1)))))>
3.280 * * * * [progress]: [ 52 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (exp (+ (log (cbrt (fma N (+ N 1) 1))) (log (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.281 * [simplify]: Simplifying (+ (log (cbrt (fma N (+ N 1) 1))) (log (cbrt (fma N (+ N 1) 1))))
3.281 * * [simplify]: iters left: 6 (7 enodes)
3.284 * * [simplify]: iters left: 5 (26 enodes)
3.292 * * [simplify]: iters left: 4 (39 enodes)
3.304 * * [simplify]: iters left: 3 (46 enodes)
3.315 * * [simplify]: Extracting #0: cost 1 inf + 0
3.315 * * [simplify]: Extracting #1: cost 3 inf + 0
3.315 * * [simplify]: Extracting #2: cost 5 inf + 0
3.315 * * [simplify]: Extracting #3: cost 7 inf + 0
3.316 * * [simplify]: Extracting #4: cost 12 inf + 0
3.316 * * [simplify]: Extracting #5: cost 13 inf + 2
3.316 * * [simplify]: Extracting #6: cost 8 inf + 377
3.316 * * [simplify]: Extracting #7: cost 4 inf + 898
3.317 * * [simplify]: Extracting #8: cost 1 inf + 1609
3.317 * * [simplify]: Extracting #9: cost 0 inf + 1896
3.318 * [simplify]: Simplified to (+ (log (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))))
3.318 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (exp (+ (log (cbrt (fma N (+ 1 N) 1))) (log (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.318 * * * * [progress]: [ 53 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (exp (log (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.318 * * * * [progress]: [ 54 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (log (exp (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.318 * * * * [progress]: [ 55 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (cbrt (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
3.318 * [simplify]: Simplifying (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))
3.318 * * [simplify]: iters left: 5 (5 enodes)
3.320 * * [simplify]: iters left: 4 (20 enodes)
3.323 * * [simplify]: iters left: 3 (39 enodes)
3.331 * * [simplify]: iters left: 2 (73 enodes)
3.346 * * [simplify]: iters left: 1 (165 enodes)
3.518 * * [simplify]: Extracting #0: cost 1 inf + 0
3.518 * * [simplify]: Extracting #1: cost 21 inf + 0
3.519 * * [simplify]: Extracting #2: cost 71 inf + 2
3.520 * * [simplify]: Extracting #3: cost 51 inf + 3570
3.526 * * [simplify]: Extracting #4: cost 5 inf + 10191
3.533 * * [simplify]: Extracting #5: cost 0 inf + 10910
3.539 * [simplify]: Simplified to (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1))
3.540 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (cbrt (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1))) (cbrt (fma N (+ N 1) 1)))))
3.540 * * * * [progress]: [ 56 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.540 * * * * [progress]: [ 57 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (cbrt (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.540 * * * * [progress]: [ 58 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (sqrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.540 * * * * [progress]: [ 59 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
3.540 * * * * [progress]: [ 60 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.540 * [simplify]: Simplifying (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))))
3.541 * * [simplify]: iters left: 6 (8 enodes)
3.545 * * [simplify]: iters left: 5 (29 enodes)
3.554 * * [simplify]: iters left: 4 (42 enodes)
3.568 * * [simplify]: iters left: 3 (49 enodes)
3.580 * * [simplify]: Extracting #0: cost 1 inf + 0
3.580 * * [simplify]: Extracting #1: cost 3 inf + 0
3.580 * * [simplify]: Extracting #2: cost 5 inf + 0
3.580 * * [simplify]: Extracting #3: cost 7 inf + 0
3.580 * * [simplify]: Extracting #4: cost 9 inf + 0
3.580 * * [simplify]: Extracting #5: cost 14 inf + 0
3.580 * * [simplify]: Extracting #6: cost 15 inf + 2
3.580 * * [simplify]: Extracting #7: cost 10 inf + 336
3.581 * * [simplify]: Extracting #8: cost 5 inf + 1045
3.582 * * [simplify]: Extracting #9: cost 0 inf + 2530
3.582 * [simplify]: Simplified to (* (cbrt (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))) (cbrt (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))))
3.582 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))) (cbrt (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N)))))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.583 * [simplify]: Simplifying (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
3.583 * * [simplify]: iters left: 6 (7 enodes)
3.586 * * [simplify]: iters left: 5 (26 enodes)
3.597 * * [simplify]: iters left: 4 (39 enodes)
3.604 * * [simplify]: iters left: 3 (46 enodes)
3.609 * * [simplify]: Extracting #0: cost 1 inf + 0
3.609 * * [simplify]: Extracting #1: cost 3 inf + 0
3.609 * * [simplify]: Extracting #2: cost 5 inf + 0
3.609 * * [simplify]: Extracting #3: cost 7 inf + 0
3.609 * * [simplify]: Extracting #4: cost 12 inf + 0
3.609 * * [simplify]: Extracting #5: cost 13 inf + 2
3.609 * * [simplify]: Extracting #6: cost 8 inf + 377
3.610 * * [simplify]: Extracting #7: cost 4 inf + 908
3.610 * * [simplify]: Extracting #8: cost 1 inf + 1639
3.610 * * [simplify]: Extracting #9: cost 0 inf + 1936
3.610 * [simplify]: Simplified to (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
3.610 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.611 * * * * [progress]: [ 61 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.611 * [simplify]: Simplifying (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))
3.611 * * [simplify]: iters left: 6 (7 enodes)
3.613 * * [simplify]: iters left: 5 (26 enodes)
3.617 * * [simplify]: iters left: 4 (39 enodes)
3.623 * * [simplify]: iters left: 3 (46 enodes)
3.632 * * [simplify]: Extracting #0: cost 1 inf + 0
3.632 * * [simplify]: Extracting #1: cost 3 inf + 0
3.632 * * [simplify]: Extracting #2: cost 5 inf + 0
3.632 * * [simplify]: Extracting #3: cost 7 inf + 0
3.632 * * [simplify]: Extracting #4: cost 12 inf + 0
3.632 * * [simplify]: Extracting #5: cost 13 inf + 2
3.633 * * [simplify]: Extracting #6: cost 8 inf + 377
3.633 * * [simplify]: Extracting #7: cost 4 inf + 828
3.633 * * [simplify]: Extracting #8: cost 1 inf + 1439
3.634 * * [simplify]: Extracting #9: cost 0 inf + 1696
3.635 * [simplify]: Simplified to (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
3.635 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.635 * [simplify]: Simplifying (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))
3.635 * * [simplify]: iters left: 6 (7 enodes)
3.639 * * [simplify]: iters left: 5 (26 enodes)
3.647 * * [simplify]: iters left: 4 (39 enodes)
3.660 * * [simplify]: iters left: 3 (46 enodes)
3.670 * * [simplify]: Extracting #0: cost 1 inf + 0
3.670 * * [simplify]: Extracting #1: cost 3 inf + 0
3.671 * * [simplify]: Extracting #2: cost 5 inf + 0
3.671 * * [simplify]: Extracting #3: cost 7 inf + 0
3.671 * * [simplify]: Extracting #4: cost 12 inf + 0
3.671 * * [simplify]: Extracting #5: cost 13 inf + 2
3.671 * * [simplify]: Extracting #6: cost 8 inf + 377
3.671 * * [simplify]: Extracting #7: cost 4 inf + 828
3.672 * * [simplify]: Extracting #8: cost 1 inf + 1439
3.672 * * [simplify]: Extracting #9: cost 0 inf + 1696
3.673 * [simplify]: Simplified to (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
3.673 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.673 * * * * [progress]: [ 62 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
3.674 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1))
3.674 * * [simplify]: iters left: 3 (3 enodes)
3.680 * * [simplify]: iters left: 2 (11 enodes)
3.683 * * [simplify]: iters left: 1 (13 enodes)
3.686 * * [simplify]: Extracting #0: cost 1 inf + 0
3.686 * * [simplify]: Extracting #1: cost 0 inf + 1
3.686 * [simplify]: Simplified to 1
3.686 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
3.686 * [simplify]: Simplifying (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))
3.687 * * [simplify]: iters left: 6 (6 enodes)
3.690 * * [simplify]: iters left: 5 (23 enodes)
3.698 * * [simplify]: iters left: 4 (36 enodes)
3.710 * * [simplify]: iters left: 3 (43 enodes)
3.720 * * [simplify]: Extracting #0: cost 1 inf + 0
3.720 * * [simplify]: Extracting #1: cost 3 inf + 0
3.720 * * [simplify]: Extracting #2: cost 5 inf + 0
3.720 * * [simplify]: Extracting #3: cost 10 inf + 0
3.720 * * [simplify]: Extracting #4: cost 10 inf + 44
3.720 * * [simplify]: Extracting #5: cost 6 inf + 336
3.721 * * [simplify]: Extracting #6: cost 1 inf + 1045
3.723 * * [simplify]: Extracting #7: cost 0 inf + 1262
3.723 * [simplify]: Simplified to (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))
3.723 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))) (cbrt (fma N (+ N 1) 1)))))
3.724 * * * * [progress]: [ 63 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.724 * [simplify]: Simplifying (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))))
3.724 * * [simplify]: iters left: 6 (8 enodes)
3.728 * * [simplify]: iters left: 5 (33 enodes)
3.739 * * [simplify]: iters left: 4 (50 enodes)
3.751 * * [simplify]: iters left: 3 (67 enodes)
3.760 * * [simplify]: iters left: 2 (87 enodes)
3.776 * * [simplify]: iters left: 1 (133 enodes)
3.805 * * [simplify]: Extracting #0: cost 1 inf + 0
3.805 * * [simplify]: Extracting #1: cost 13 inf + 0
3.805 * * [simplify]: Extracting #2: cost 40 inf + 1
3.805 * * [simplify]: Extracting #3: cost 42 inf + 7
3.805 * * [simplify]: Extracting #4: cost 42 inf + 66
3.805 * * [simplify]: Extracting #5: cost 35 inf + 619
3.806 * * [simplify]: Extracting #6: cost 22 inf + 5220
3.807 * * [simplify]: Extracting #7: cost 7 inf + 13906
3.809 * * [simplify]: Extracting #8: cost 0 inf + 18648
3.811 * [simplify]: Simplified to (* (cbrt (+ 1 (fma N N N))) (cbrt (cbrt (+ 1 (fma N N N)))))
3.811 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (fma N N N))) (cbrt (cbrt (+ 1 (fma N N N))))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.812 * [simplify]: Simplifying (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
3.812 * * [simplify]: iters left: 6 (7 enodes)
3.814 * * [simplify]: iters left: 5 (26 enodes)
3.824 * * [simplify]: iters left: 4 (39 enodes)
3.836 * * [simplify]: iters left: 3 (46 enodes)
3.847 * * [simplify]: Extracting #0: cost 1 inf + 0
3.847 * * [simplify]: Extracting #1: cost 3 inf + 0
3.847 * * [simplify]: Extracting #2: cost 5 inf + 0
3.847 * * [simplify]: Extracting #3: cost 7 inf + 0
3.847 * * [simplify]: Extracting #4: cost 12 inf + 0
3.847 * * [simplify]: Extracting #5: cost 13 inf + 2
3.847 * * [simplify]: Extracting #6: cost 8 inf + 377
3.847 * * [simplify]: Extracting #7: cost 4 inf + 908
3.848 * * [simplify]: Extracting #8: cost 1 inf + 1639
3.849 * * [simplify]: Extracting #9: cost 0 inf + 1936
3.849 * [simplify]: Simplified to (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
3.849 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.849 * * * * [progress]: [ 64 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.850 * [simplify]: Simplifying (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))
3.850 * * [simplify]: iters left: 6 (7 enodes)
3.854 * * [simplify]: iters left: 5 (24 enodes)
3.861 * * [simplify]: iters left: 4 (38 enodes)
3.872 * * [simplify]: iters left: 3 (45 enodes)
3.878 * * [simplify]: Extracting #0: cost 1 inf + 0
3.878 * * [simplify]: Extracting #1: cost 4 inf + 0
3.878 * * [simplify]: Extracting #2: cost 10 inf + 0
3.878 * * [simplify]: Extracting #3: cost 11 inf + 2
3.878 * * [simplify]: Extracting #4: cost 5 inf + 433
3.878 * * [simplify]: Extracting #5: cost 2 inf + 868
3.878 * * [simplify]: Extracting #6: cost 0 inf + 1262
3.879 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
3.879 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.879 * [simplify]: Simplifying (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))
3.879 * * [simplify]: iters left: 6 (7 enodes)
3.881 * * [simplify]: iters left: 5 (24 enodes)
3.884 * * [simplify]: iters left: 4 (38 enodes)
3.890 * * [simplify]: iters left: 3 (45 enodes)
3.895 * * [simplify]: Extracting #0: cost 1 inf + 0
3.895 * * [simplify]: Extracting #1: cost 4 inf + 0
3.895 * * [simplify]: Extracting #2: cost 10 inf + 0
3.895 * * [simplify]: Extracting #3: cost 11 inf + 2
3.895 * * [simplify]: Extracting #4: cost 5 inf + 433
3.895 * * [simplify]: Extracting #5: cost 2 inf + 868
3.896 * * [simplify]: Extracting #6: cost 0 inf + 1262
3.896 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
3.896 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ N 1) 1)))))
3.896 * * * * [progress]: [ 65 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 1) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
3.896 * [simplify]: Simplifying (* 1 1)
3.896 * * [simplify]: iters left: 2 (2 enodes)
3.897 * * [simplify]: iters left: 1 (6 enodes)
3.898 * * [simplify]: Extracting #0: cost 1 inf + 0
3.898 * * [simplify]: Extracting #1: cost 0 inf + 1
3.898 * [simplify]: Simplified to 1
3.898 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
3.898 * [simplify]: Simplifying (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))
3.899 * * [simplify]: iters left: 6 (6 enodes)
3.900 * * [simplify]: iters left: 5 (23 enodes)
3.906 * * [simplify]: iters left: 4 (36 enodes)
3.917 * * [simplify]: iters left: 3 (43 enodes)
3.927 * * [simplify]: Extracting #0: cost 1 inf + 0
3.927 * * [simplify]: Extracting #1: cost 3 inf + 0
3.927 * * [simplify]: Extracting #2: cost 5 inf + 0
3.927 * * [simplify]: Extracting #3: cost 10 inf + 0
3.927 * * [simplify]: Extracting #4: cost 10 inf + 44
3.927 * * [simplify]: Extracting #5: cost 6 inf + 336
3.927 * * [simplify]: Extracting #6: cost 1 inf + 1045
3.927 * * [simplify]: Extracting #7: cost 0 inf + 1262
3.927 * [simplify]: Simplified to (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))
3.928 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N))))) (cbrt (fma N (+ N 1) 1)))))
3.928 * * * * [progress]: [ 66 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.928 * [simplify]: Simplifying (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))
3.928 * * [simplify]: iters left: 6 (7 enodes)
3.930 * * [simplify]: iters left: 5 (26 enodes)
3.935 * * [simplify]: iters left: 4 (39 enodes)
3.941 * * [simplify]: iters left: 3 (46 enodes)
3.947 * * [simplify]: Extracting #0: cost 1 inf + 0
3.947 * * [simplify]: Extracting #1: cost 3 inf + 0
3.947 * * [simplify]: Extracting #2: cost 5 inf + 0
3.947 * * [simplify]: Extracting #3: cost 7 inf + 0
3.947 * * [simplify]: Extracting #4: cost 12 inf + 0
3.947 * * [simplify]: Extracting #5: cost 13 inf + 2
3.947 * * [simplify]: Extracting #6: cost 8 inf + 377
3.947 * * [simplify]: Extracting #7: cost 4 inf + 828
3.947 * * [simplify]: Extracting #8: cost 1 inf + 1439
3.948 * * [simplify]: Extracting #9: cost 0 inf + 1696
3.948 * [simplify]: Simplified to (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
3.948 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.948 * [simplify]: Simplifying (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))
3.948 * * [simplify]: iters left: 6 (7 enodes)
3.950 * * [simplify]: iters left: 5 (26 enodes)
3.954 * * [simplify]: iters left: 4 (39 enodes)
3.960 * * [simplify]: iters left: 3 (46 enodes)
3.966 * * [simplify]: Extracting #0: cost 1 inf + 0
3.966 * * [simplify]: Extracting #1: cost 3 inf + 0
3.966 * * [simplify]: Extracting #2: cost 5 inf + 0
3.966 * * [simplify]: Extracting #3: cost 7 inf + 0
3.966 * * [simplify]: Extracting #4: cost 12 inf + 0
3.966 * * [simplify]: Extracting #5: cost 13 inf + 2
3.966 * * [simplify]: Extracting #6: cost 8 inf + 377
3.966 * * [simplify]: Extracting #7: cost 4 inf + 828
3.966 * * [simplify]: Extracting #8: cost 1 inf + 1439
3.967 * * [simplify]: Extracting #9: cost 0 inf + 1696
3.967 * [simplify]: Simplified to (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
3.967 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.967 * * * * [progress]: [ 67 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
3.967 * [simplify]: Simplifying (* (cbrt (sqrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))
3.967 * * [simplify]: iters left: 6 (9 enodes)
3.969 * * [simplify]: iters left: 5 (33 enodes)
3.974 * * [simplify]: iters left: 4 (46 enodes)
3.981 * * [simplify]: iters left: 3 (53 enodes)
3.987 * * [simplify]: Extracting #0: cost 1 inf + 0
3.987 * * [simplify]: Extracting #1: cost 4 inf + 0
3.987 * * [simplify]: Extracting #2: cost 8 inf + 0
3.987 * * [simplify]: Extracting #3: cost 11 inf + 0
3.987 * * [simplify]: Extracting #4: cost 16 inf + 0
3.988 * * [simplify]: Extracting #5: cost 17 inf + 2
3.988 * * [simplify]: Extracting #6: cost 13 inf + 280
3.988 * * [simplify]: Extracting #7: cost 5 inf + 1399
3.988 * * [simplify]: Extracting #8: cost 0 inf + 2724
3.989 * [simplify]: Simplified to (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
3.989 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
3.989 * [simplify]: Simplifying (* (cbrt (sqrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))
3.989 * * [simplify]: iters left: 6 (9 enodes)
3.991 * * [simplify]: iters left: 5 (33 enodes)
3.996 * * [simplify]: iters left: 4 (46 enodes)
4.003 * * [simplify]: iters left: 3 (53 enodes)
4.011 * * [simplify]: Extracting #0: cost 1 inf + 0
4.011 * * [simplify]: Extracting #1: cost 4 inf + 0
4.011 * * [simplify]: Extracting #2: cost 8 inf + 0
4.011 * * [simplify]: Extracting #3: cost 11 inf + 0
4.011 * * [simplify]: Extracting #4: cost 16 inf + 0
4.011 * * [simplify]: Extracting #5: cost 17 inf + 2
4.011 * * [simplify]: Extracting #6: cost 13 inf + 280
4.011 * * [simplify]: Extracting #7: cost 5 inf + 1399
4.012 * * [simplify]: Extracting #8: cost 0 inf + 2724
4.012 * [simplify]: Simplified to (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))
4.012 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ 1 N) 1))) (cbrt (sqrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
4.012 * * * * [progress]: [ 68 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
4.012 * [simplify]: Simplifying (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))
4.012 * * [simplify]: iters left: 6 (9 enodes)
4.015 * * [simplify]: iters left: 5 (33 enodes)
4.020 * * [simplify]: iters left: 4 (46 enodes)
4.027 * * [simplify]: iters left: 3 (53 enodes)
4.040 * * [simplify]: Extracting #0: cost 1 inf + 0
4.040 * * [simplify]: Extracting #1: cost 4 inf + 0
4.040 * * [simplify]: Extracting #2: cost 8 inf + 0
4.040 * * [simplify]: Extracting #3: cost 11 inf + 0
4.040 * * [simplify]: Extracting #4: cost 16 inf + 0
4.040 * * [simplify]: Extracting #5: cost 17 inf + 2
4.040 * * [simplify]: Extracting #6: cost 13 inf + 280
4.041 * * [simplify]: Extracting #7: cost 5 inf + 1359
4.042 * * [simplify]: Extracting #8: cost 0 inf + 2724
4.042 * [simplify]: Simplified to (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
4.042 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
4.043 * [simplify]: Simplifying (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))
4.043 * * [simplify]: iters left: 6 (9 enodes)
4.048 * * [simplify]: iters left: 5 (33 enodes)
4.056 * * [simplify]: iters left: 4 (46 enodes)
4.064 * * [simplify]: iters left: 3 (53 enodes)
4.070 * * [simplify]: Extracting #0: cost 1 inf + 0
4.070 * * [simplify]: Extracting #1: cost 4 inf + 0
4.070 * * [simplify]: Extracting #2: cost 8 inf + 0
4.070 * * [simplify]: Extracting #3: cost 11 inf + 0
4.070 * * [simplify]: Extracting #4: cost 16 inf + 0
4.071 * * [simplify]: Extracting #5: cost 17 inf + 2
4.071 * * [simplify]: Extracting #6: cost 13 inf + 280
4.071 * * [simplify]: Extracting #7: cost 5 inf + 1359
4.071 * * [simplify]: Extracting #8: cost 0 inf + 2724
4.072 * [simplify]: Simplified to (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))
4.072 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (* (cbrt (sqrt (fma N (+ 1 N) 1))) (sqrt (cbrt (fma N (+ 1 N) 1))))) (cbrt (fma N (+ N 1) 1)))))
4.072 * * * * [progress]: [ 69 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
4.072 * [simplify]: Simplifying (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))
4.072 * * [simplify]: iters left: 6 (7 enodes)
4.074 * * [simplify]: iters left: 5 (24 enodes)
4.078 * * [simplify]: iters left: 4 (38 enodes)
4.084 * * [simplify]: iters left: 3 (45 enodes)
4.092 * * [simplify]: Extracting #0: cost 1 inf + 0
4.093 * * [simplify]: Extracting #1: cost 4 inf + 0
4.093 * * [simplify]: Extracting #2: cost 10 inf + 0
4.093 * * [simplify]: Extracting #3: cost 11 inf + 2
4.093 * * [simplify]: Extracting #4: cost 5 inf + 433
4.093 * * [simplify]: Extracting #5: cost 2 inf + 868
4.094 * * [simplify]: Extracting #6: cost 0 inf + 1262
4.094 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
4.094 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ 1 N) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
4.095 * [simplify]: Simplifying (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))
4.095 * * [simplify]: iters left: 6 (7 enodes)
4.099 * * [simplify]: iters left: 5 (24 enodes)
4.107 * * [simplify]: iters left: 4 (38 enodes)
4.119 * * [simplify]: iters left: 3 (45 enodes)
4.125 * * [simplify]: Extracting #0: cost 1 inf + 0
4.125 * * [simplify]: Extracting #1: cost 4 inf + 0
4.125 * * [simplify]: Extracting #2: cost 10 inf + 0
4.125 * * [simplify]: Extracting #3: cost 11 inf + 2
4.125 * * [simplify]: Extracting #4: cost 5 inf + 433
4.125 * * [simplify]: Extracting #5: cost 2 inf + 868
4.125 * * [simplify]: Extracting #6: cost 0 inf + 1262
4.126 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
4.126 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ N 1) 1)))))
4.126 * * * * [progress]: [ 70 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (fma N (+ N 1) 1) (* 2 1/3)) (cbrt (fma N (+ N 1) 1)))))>
4.126 * [simplify]: Simplifying (fma N (+ N 1) 1)
4.126 * * [simplify]: iters left: 3 (4 enodes)
4.127 * * [simplify]: iters left: 2 (17 enodes)
4.130 * * [simplify]: iters left: 1 (30 enodes)
4.135 * * [simplify]: Extracting #0: cost 1 inf + 0
4.135 * * [simplify]: Extracting #1: cost 6 inf + 0
4.136 * * [simplify]: Extracting #2: cost 7 inf + 2
4.136 * * [simplify]: Extracting #3: cost 1 inf + 433
4.136 * * [simplify]: Extracting #4: cost 0 inf + 474
4.136 * [simplify]: Simplified to (fma N (+ 1 N) 1)
4.136 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (fma N (+ 1 N) 1) (* 2 1/3)) (cbrt (fma N (+ N 1) 1)))))
4.136 * [simplify]: Simplifying (* 2 1/3)
4.136 * * [simplify]: iters left: 2 (3 enodes)
4.138 * * [simplify]: iters left: 1 (11 enodes)
4.140 * * [simplify]: Extracting #0: cost 1 inf + 0
4.140 * * [simplify]: Extracting #1: cost 0 inf + 1
4.140 * [simplify]: Simplified to 2/3
4.140 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (fma N (+ N 1) 1) 2/3) (cbrt (fma N (+ N 1) 1)))))
4.140 * * * * [progress]: [ 71 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ N 1) 1)) (* 2 1)) (cbrt (fma N (+ N 1) 1)))))>
4.140 * [simplify]: Simplifying (cbrt (fma N (+ N 1) 1))
4.140 * * [simplify]: iters left: 4 (5 enodes)
4.142 * * [simplify]: iters left: 3 (20 enodes)
4.145 * * [simplify]: iters left: 2 (33 enodes)
4.156 * * [simplify]: iters left: 1 (40 enodes)
4.164 * * [simplify]: Extracting #0: cost 1 inf + 0
4.164 * * [simplify]: Extracting #1: cost 3 inf + 0
4.164 * * [simplify]: Extracting #2: cost 8 inf + 0
4.164 * * [simplify]: Extracting #3: cost 9 inf + 2
4.164 * * [simplify]: Extracting #4: cost 1 inf + 787
4.164 * * [simplify]: Extracting #5: cost 0 inf + 828
4.165 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
4.165 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ 1 N) 1)) (* 2 1)) (cbrt (fma N (+ N 1) 1)))))
4.165 * [simplify]: Simplifying (* 2 1)
4.165 * * [simplify]: iters left: 2 (3 enodes)
4.166 * * [simplify]: iters left: 1 (9 enodes)
4.168 * * [simplify]: Extracting #0: cost 1 inf + 0
4.168 * * [simplify]: Extracting #1: cost 0 inf + 1
4.168 * [simplify]: Simplified to 2
4.169 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (cbrt (fma N (+ N 1) 1)) 2) (cbrt (fma N (+ N 1) 1)))))
4.169 * * * * [progress]: [ 72 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.169 * [simplify]: Simplifying (cbrt (cbrt (fma N (+ N 1) 1)))
4.169 * * [simplify]: iters left: 5 (6 enodes)
4.171 * * [simplify]: iters left: 4 (23 enodes)
4.175 * * [simplify]: iters left: 3 (36 enodes)
4.181 * * [simplify]: iters left: 2 (43 enodes)
4.186 * * [simplify]: Extracting #0: cost 1 inf + 0
4.186 * * [simplify]: Extracting #1: cost 3 inf + 0
4.186 * * [simplify]: Extracting #2: cost 5 inf + 0
4.186 * * [simplify]: Extracting #3: cost 10 inf + 0
4.186 * * [simplify]: Extracting #4: cost 10 inf + 44
4.187 * * [simplify]: Extracting #5: cost 6 inf + 336
4.187 * * [simplify]: Extracting #6: cost 1 inf + 1085
4.187 * * [simplify]: Extracting #7: cost 0 inf + 1342
4.187 * [simplify]: Simplified to (cbrt (cbrt (+ 1 (fma N N N))))
4.187 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (cbrt (+ 1 (fma N N N))))) (cbrt (fma N (+ N 1) 1)))))
4.187 * * * * [progress]: [ 73 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.188 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
4.188 * * [simplify]: iters left: 5 (6 enodes)
4.189 * * [simplify]: iters left: 4 (23 enodes)
4.193 * * [simplify]: iters left: 3 (36 enodes)
4.199 * * [simplify]: iters left: 2 (43 enodes)
4.204 * * [simplify]: Extracting #0: cost 1 inf + 0
4.204 * * [simplify]: Extracting #1: cost 3 inf + 0
4.204 * * [simplify]: Extracting #2: cost 5 inf + 0
4.204 * * [simplify]: Extracting #3: cost 10 inf + 0
4.204 * * [simplify]: Extracting #4: cost 10 inf + 44
4.205 * * [simplify]: Extracting #5: cost 6 inf + 336
4.206 * * [simplify]: Extracting #6: cost 1 inf + 965
4.207 * * [simplify]: Extracting #7: cost 0 inf + 1182
4.207 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
4.207 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (sqrt (+ 1 (fma N N N))))) (cbrt (fma N (+ N 1) 1)))))
4.208 * * * * [progress]: [ 74 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
4.208 * [simplify]: Simplifying (cbrt (fma N (+ N 1) 1))
4.208 * * [simplify]: iters left: 4 (5 enodes)
4.211 * * [simplify]: iters left: 3 (20 enodes)
4.218 * * [simplify]: iters left: 2 (33 enodes)
4.226 * * [simplify]: iters left: 1 (40 enodes)
4.231 * * [simplify]: Extracting #0: cost 1 inf + 0
4.231 * * [simplify]: Extracting #1: cost 3 inf + 0
4.231 * * [simplify]: Extracting #2: cost 8 inf + 0
4.231 * * [simplify]: Extracting #3: cost 9 inf + 2
4.231 * * [simplify]: Extracting #4: cost 1 inf + 787
4.231 * * [simplify]: Extracting #5: cost 0 inf + 828
4.231 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
4.231 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (cbrt 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ N 1) 1)))))
4.231 * * * * [progress]: [ 75 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.232 * [simplify]: Simplifying (cbrt (cbrt (fma N (+ N 1) 1)))
4.232 * * [simplify]: iters left: 5 (6 enodes)
4.234 * * [simplify]: iters left: 4 (23 enodes)
4.238 * * [simplify]: iters left: 3 (36 enodes)
4.243 * * [simplify]: iters left: 2 (43 enodes)
4.248 * * [simplify]: Extracting #0: cost 1 inf + 0
4.248 * * [simplify]: Extracting #1: cost 3 inf + 0
4.248 * * [simplify]: Extracting #2: cost 5 inf + 0
4.248 * * [simplify]: Extracting #3: cost 10 inf + 0
4.248 * * [simplify]: Extracting #4: cost 10 inf + 44
4.249 * * [simplify]: Extracting #5: cost 6 inf + 336
4.249 * * [simplify]: Extracting #6: cost 1 inf + 1085
4.249 * * [simplify]: Extracting #7: cost 0 inf + 1342
4.249 * [simplify]: Simplified to (cbrt (cbrt (+ 1 (fma N N N))))
4.249 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (cbrt (+ 1 (fma N N N))))) (cbrt (fma N (+ N 1) 1)))))
4.249 * * * * [progress]: [ 76 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (sqrt (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.250 * [simplify]: Simplifying (sqrt (cbrt (fma N (+ N 1) 1)))
4.250 * * [simplify]: iters left: 5 (6 enodes)
4.251 * * [simplify]: iters left: 4 (23 enodes)
4.257 * * [simplify]: iters left: 3 (36 enodes)
4.268 * * [simplify]: iters left: 2 (43 enodes)
4.278 * * [simplify]: Extracting #0: cost 1 inf + 0
4.278 * * [simplify]: Extracting #1: cost 3 inf + 0
4.279 * * [simplify]: Extracting #2: cost 5 inf + 0
4.279 * * [simplify]: Extracting #3: cost 10 inf + 0
4.279 * * [simplify]: Extracting #4: cost 10 inf + 44
4.279 * * [simplify]: Extracting #5: cost 6 inf + 336
4.279 * * [simplify]: Extracting #6: cost 1 inf + 1045
4.280 * * [simplify]: Extracting #7: cost 0 inf + 1262
4.280 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (fma N N N))))
4.280 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) (sqrt (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (+ 1 (fma N N N))))) (cbrt (fma N (+ N 1) 1)))))
4.280 * * * * [progress]: [ 77 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
4.281 * [simplify]: Simplifying (cbrt (fma N (+ N 1) 1))
4.281 * * [simplify]: iters left: 4 (5 enodes)
4.284 * * [simplify]: iters left: 3 (20 enodes)
4.290 * * [simplify]: iters left: 2 (33 enodes)
4.296 * * [simplify]: iters left: 1 (40 enodes)
4.300 * * [simplify]: Extracting #0: cost 1 inf + 0
4.300 * * [simplify]: Extracting #1: cost 3 inf + 0
4.300 * * [simplify]: Extracting #2: cost 8 inf + 0
4.300 * * [simplify]: Extracting #3: cost 9 inf + 2
4.300 * * [simplify]: Extracting #4: cost 1 inf + 787
4.301 * * [simplify]: Extracting #5: cost 0 inf + 828
4.301 * [simplify]: Simplified to (cbrt (fma N (+ 1 N) 1))
4.301 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (fma N (+ N 1) 1)) 1) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ N 1) 1)))))
4.301 * * * * [progress]: [ 78 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.301 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
4.301 * * [simplify]: iters left: 6 (7 enodes)
4.303 * * [simplify]: iters left: 5 (26 enodes)
4.307 * * [simplify]: iters left: 4 (39 enodes)
4.315 * * [simplify]: iters left: 3 (46 enodes)
4.324 * * [simplify]: Extracting #0: cost 1 inf + 0
4.324 * * [simplify]: Extracting #1: cost 3 inf + 0
4.324 * * [simplify]: Extracting #2: cost 5 inf + 0
4.324 * * [simplify]: Extracting #3: cost 7 inf + 0
4.324 * * [simplify]: Extracting #4: cost 12 inf + 0
4.324 * * [simplify]: Extracting #5: cost 13 inf + 2
4.324 * * [simplify]: Extracting #6: cost 8 inf + 377
4.325 * * [simplify]: Extracting #7: cost 4 inf + 868
4.325 * * [simplify]: Extracting #8: cost 1 inf + 1559
4.326 * * [simplify]: Extracting #9: cost 0 inf + 1856
4.326 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
4.327 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
4.327 * * * * [progress]: [ 79 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.327 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
4.327 * * [simplify]: iters left: 5 (6 enodes)
4.330 * * [simplify]: iters left: 4 (23 enodes)
4.338 * * [simplify]: iters left: 3 (36 enodes)
4.348 * * [simplify]: iters left: 2 (43 enodes)
4.354 * * [simplify]: Extracting #0: cost 1 inf + 0
4.354 * * [simplify]: Extracting #1: cost 3 inf + 0
4.354 * * [simplify]: Extracting #2: cost 5 inf + 0
4.354 * * [simplify]: Extracting #3: cost 10 inf + 0
4.354 * * [simplify]: Extracting #4: cost 10 inf + 44
4.354 * * [simplify]: Extracting #5: cost 6 inf + 336
4.354 * * [simplify]: Extracting #6: cost 1 inf + 965
4.355 * * [simplify]: Extracting #7: cost 0 inf + 1182
4.355 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
4.355 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (sqrt (+ 1 (fma N N N)))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
4.355 * * * * [progress]: [ 80 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt 1) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.355 * [simplify]: Simplifying (cbrt 1)
4.355 * * [simplify]: iters left: 1 (2 enodes)
4.357 * * [simplify]: Extracting #0: cost 1 inf + 0
4.357 * * [simplify]: Extracting #1: cost 0 inf + 1
4.357 * [simplify]: Simplified to 1
4.357 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
4.357 * * * * [progress]: [ 81 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.358 * [simplify]: Simplifying (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))
4.358 * * [simplify]: iters left: 6 (7 enodes)
4.359 * * [simplify]: iters left: 5 (26 enodes)
4.364 * * [simplify]: iters left: 4 (39 enodes)
4.370 * * [simplify]: iters left: 3 (46 enodes)
4.376 * * [simplify]: Extracting #0: cost 1 inf + 0
4.376 * * [simplify]: Extracting #1: cost 3 inf + 0
4.376 * * [simplify]: Extracting #2: cost 5 inf + 0
4.376 * * [simplify]: Extracting #3: cost 7 inf + 0
4.376 * * [simplify]: Extracting #4: cost 12 inf + 0
4.376 * * [simplify]: Extracting #5: cost 13 inf + 2
4.376 * * [simplify]: Extracting #6: cost 8 inf + 377
4.376 * * [simplify]: Extracting #7: cost 4 inf + 908
4.377 * * [simplify]: Extracting #8: cost 1 inf + 1639
4.377 * * [simplify]: Extracting #9: cost 0 inf + 1936
4.377 * [simplify]: Simplified to (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1))))
4.377 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (cbrt (fma N (+ 1 N) 1))) (cbrt (cbrt (fma N (+ 1 N) 1)))) (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
4.378 * * * * [progress]: [ 82 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.378 * [simplify]: Simplifying (sqrt (cbrt (fma N (+ N 1) 1)))
4.378 * * [simplify]: iters left: 5 (6 enodes)
4.381 * * [simplify]: iters left: 4 (23 enodes)
4.388 * * [simplify]: iters left: 3 (36 enodes)
4.395 * * [simplify]: iters left: 2 (43 enodes)
4.400 * * [simplify]: Extracting #0: cost 1 inf + 0
4.400 * * [simplify]: Extracting #1: cost 3 inf + 0
4.400 * * [simplify]: Extracting #2: cost 5 inf + 0
4.400 * * [simplify]: Extracting #3: cost 10 inf + 0
4.400 * * [simplify]: Extracting #4: cost 10 inf + 44
4.400 * * [simplify]: Extracting #5: cost 6 inf + 336
4.400 * * [simplify]: Extracting #6: cost 1 inf + 1045
4.400 * * [simplify]: Extracting #7: cost 0 inf + 1262
4.401 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (fma N N N))))
4.401 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (sqrt (cbrt (+ 1 (fma N N N)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
4.401 * * * * [progress]: [ 83 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* 1 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
4.401 * * * * [progress]: [ 84 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (posit16->real (real->posit16 (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
4.401 * * * * [progress]: [ 85 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
4.401 * * * * [progress]: [ 86 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
4.401 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
4.401 * * [simplify]: iters left: 6 (10 enodes)
4.405 * * [simplify]: iters left: 5 (44 enodes)
4.414 * * [simplify]: iters left: 4 (62 enodes)
4.427 * * [simplify]: iters left: 3 (90 enodes)
4.450 * * [simplify]: iters left: 2 (112 enodes)
4.479 * * [simplify]: iters left: 1 (124 enodes)
4.491 * * [simplify]: Extracting #0: cost 1 inf + 0
4.491 * * [simplify]: Extracting #1: cost 14 inf + 0
4.491 * * [simplify]: Extracting #2: cost 17 inf + 87
4.491 * * [simplify]: Extracting #3: cost 4 inf + 943
4.492 * * [simplify]: Extracting #4: cost 0 inf + 1271
4.492 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
4.492 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (fma N (fma N 2/9 1/3) 1))))
4.492 * * * * [progress]: [ 87 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
4.493 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
4.493 * * [simplify]: iters left: 6 (16 enodes)
4.500 * * [simplify]: iters left: 5 (73 enodes)
4.519 * * [simplify]: iters left: 4 (144 enodes)
4.548 * * [simplify]: iters left: 3 (279 enodes)
4.650 * * [simplify]: Extracting #0: cost 1 inf + 0
4.650 * * [simplify]: Extracting #1: cost 23 inf + 0
4.651 * * [simplify]: Extracting #2: cost 76 inf + 2
4.651 * * [simplify]: Extracting #3: cost 97 inf + 8
4.652 * * [simplify]: Extracting #4: cost 88 inf + 2817
4.655 * * [simplify]: Extracting #5: cost 50 inf + 14443
4.660 * * [simplify]: Extracting #6: cost 18 inf + 26768
4.669 * * [simplify]: Extracting #7: cost 0 inf + 36432
4.678 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
4.678 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))))))
4.679 * * * * [progress]: [ 88 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
4.679 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
4.679 * * [simplify]: iters left: 6 (18 enodes)
4.691 * * [simplify]: iters left: 5 (79 enodes)
4.723 * * [simplify]: iters left: 4 (150 enodes)
4.785 * * [simplify]: iters left: 3 (285 enodes)
4.842 * * [simplify]: Extracting #0: cost 1 inf + 0
4.842 * * [simplify]: Extracting #1: cost 23 inf + 0
4.842 * * [simplify]: Extracting #2: cost 78 inf + 2
4.843 * * [simplify]: Extracting #3: cost 101 inf + 8
4.843 * * [simplify]: Extracting #4: cost 95 inf + 1133
4.845 * * [simplify]: Extracting #5: cost 38 inf + 18588
4.854 * * [simplify]: Extracting #6: cost 2 inf + 37269
4.865 * * [simplify]: Extracting #7: cost 0 inf + 37268
4.869 * * [simplify]: Extracting #8: cost 0 inf + 37228
4.874 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
4.874 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))))))
4.874 * * * * [progress]: [ 89 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (cbrt (fma N (+ N 1) 1)))))>
4.874 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
4.874 * * [simplify]: iters left: 6 (10 enodes)
4.878 * * [simplify]: iters left: 5 (44 enodes)
4.889 * * [simplify]: iters left: 4 (62 enodes)
4.908 * * [simplify]: iters left: 3 (90 enodes)
4.920 * * [simplify]: iters left: 2 (112 enodes)
4.936 * * [simplify]: iters left: 1 (124 enodes)
4.955 * * [simplify]: Extracting #0: cost 1 inf + 0
4.955 * * [simplify]: Extracting #1: cost 14 inf + 0
4.955 * * [simplify]: Extracting #2: cost 17 inf + 87
4.957 * * [simplify]: Extracting #3: cost 4 inf + 943
4.957 * * [simplify]: Extracting #4: cost 0 inf + 1271
4.958 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
4.958 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma N (fma N 2/9 1/3) 1)) (cbrt (fma N (+ N 1) 1)))))
4.958 * * * * [progress]: [ 90 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ N 1) 1)))))>
4.958 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
4.958 * * [simplify]: iters left: 6 (16 enodes)
4.964 * * [simplify]: iters left: 5 (73 enodes)
4.991 * * [simplify]: iters left: 4 (144 enodes)
5.038 * * [simplify]: iters left: 3 (279 enodes)
5.111 * * [simplify]: Extracting #0: cost 1 inf + 0
5.111 * * [simplify]: Extracting #1: cost 23 inf + 0
5.111 * * [simplify]: Extracting #2: cost 76 inf + 2
5.112 * * [simplify]: Extracting #3: cost 97 inf + 8
5.112 * * [simplify]: Extracting #4: cost 88 inf + 2817
5.113 * * [simplify]: Extracting #5: cost 50 inf + 14443
5.116 * * [simplify]: Extracting #6: cost 18 inf + 26768
5.123 * * [simplify]: Extracting #7: cost 0 inf + 36432
5.132 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
5.132 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))) (cbrt (fma N (+ N 1) 1)))))
5.133 * * * * [progress]: [ 91 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ N 1) 1)))))>
5.133 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
5.133 * * [simplify]: iters left: 6 (18 enodes)
5.142 * * [simplify]: iters left: 5 (79 enodes)
5.159 * * [simplify]: iters left: 4 (150 enodes)
5.200 * * [simplify]: iters left: 3 (285 enodes)
5.299 * * [simplify]: Extracting #0: cost 1 inf + 0
5.299 * * [simplify]: Extracting #1: cost 23 inf + 0
5.299 * * [simplify]: Extracting #2: cost 78 inf + 2
5.300 * * [simplify]: Extracting #3: cost 101 inf + 8
5.301 * * [simplify]: Extracting #4: cost 95 inf + 1133
5.304 * * [simplify]: Extracting #5: cost 38 inf + 18588
5.313 * * [simplify]: Extracting #6: cost 2 inf + 37269
5.323 * * [simplify]: Extracting #7: cost 0 inf + 37268
5.332 * * [simplify]: Extracting #8: cost 0 inf + 37228
5.342 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
5.342 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))) (cbrt (fma N (+ N 1) 1)))))
5.342 * * * * [progress]: [ 92 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
5.343 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
5.343 * * [simplify]: iters left: 6 (10 enodes)
5.350 * * [simplify]: iters left: 5 (44 enodes)
5.364 * * [simplify]: iters left: 4 (62 enodes)
5.384 * * [simplify]: iters left: 3 (90 enodes)
5.407 * * [simplify]: iters left: 2 (112 enodes)
5.441 * * [simplify]: iters left: 1 (124 enodes)
5.454 * * [simplify]: Extracting #0: cost 1 inf + 0
5.454 * * [simplify]: Extracting #1: cost 14 inf + 0
5.454 * * [simplify]: Extracting #2: cost 17 inf + 87
5.455 * * [simplify]: Extracting #3: cost 4 inf + 943
5.455 * * [simplify]: Extracting #4: cost 0 inf + 1271
5.456 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
5.456 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma N (fma N 2/9 1/3) 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
5.456 * * * * [progress]: [ 93 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
5.456 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
5.456 * * [simplify]: iters left: 6 (16 enodes)
5.462 * * [simplify]: iters left: 5 (73 enodes)
5.488 * * [simplify]: iters left: 4 (144 enodes)
5.546 * * [simplify]: iters left: 3 (279 enodes)
5.627 * * [simplify]: Extracting #0: cost 1 inf + 0
5.627 * * [simplify]: Extracting #1: cost 23 inf + 0
5.627 * * [simplify]: Extracting #2: cost 76 inf + 2
5.627 * * [simplify]: Extracting #3: cost 97 inf + 8
5.628 * * [simplify]: Extracting #4: cost 88 inf + 2817
5.629 * * [simplify]: Extracting #5: cost 50 inf + 14443
5.635 * * [simplify]: Extracting #6: cost 18 inf + 26768
5.644 * * [simplify]: Extracting #7: cost 0 inf + 36432
5.652 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
5.653 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
5.653 * * * * [progress]: [ 94 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
5.653 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
5.653 * * [simplify]: iters left: 6 (18 enodes)
5.668 * * [simplify]: iters left: 5 (79 enodes)
5.699 * * [simplify]: iters left: 4 (150 enodes)
5.757 * * [simplify]: iters left: 3 (285 enodes)
5.861 * * [simplify]: Extracting #0: cost 1 inf + 0
5.861 * * [simplify]: Extracting #1: cost 23 inf + 0
5.862 * * [simplify]: Extracting #2: cost 78 inf + 2
5.863 * * [simplify]: Extracting #3: cost 101 inf + 8
5.864 * * [simplify]: Extracting #4: cost 95 inf + 1133
5.867 * * [simplify]: Extracting #5: cost 38 inf + 18588
5.877 * * [simplify]: Extracting #6: cost 2 inf + 37269
5.886 * * [simplify]: Extracting #7: cost 0 inf + 37268
5.895 * * [simplify]: Extracting #8: cost 0 inf + 37228
5.905 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
5.905 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
5.905 * * * * [progress]: [ 95 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1)) (cbrt (fma N (+ N 1) 1)))))>
5.905 * [simplify]: Simplifying (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1))
5.906 * * [simplify]: iters left: 6 (10 enodes)
5.912 * * [simplify]: iters left: 5 (44 enodes)
5.927 * * [simplify]: iters left: 4 (62 enodes)
5.947 * * [simplify]: iters left: 3 (90 enodes)
5.975 * * [simplify]: iters left: 2 (112 enodes)
6.005 * * [simplify]: iters left: 1 (124 enodes)
6.027 * * [simplify]: Extracting #0: cost 1 inf + 0
6.027 * * [simplify]: Extracting #1: cost 14 inf + 0
6.028 * * [simplify]: Extracting #2: cost 17 inf + 87
6.028 * * [simplify]: Extracting #3: cost 4 inf + 943
6.029 * * [simplify]: Extracting #4: cost 0 inf + 1271
6.030 * [simplify]: Simplified to (fma N (fma N 5/9 2/3) 1)
6.031 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (* (fma N (fma N 5/9 2/3) 1) (cbrt (fma N (+ N 1) 1)))))
6.031 * * * * [progress]: [ 96 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3)))) (cbrt (fma N (+ N 1) 1)))))>
6.031 * [simplify]: Simplifying (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3))))
6.031 * * [simplify]: iters left: 6 (17 enodes)
6.043 * * [simplify]: iters left: 5 (76 enodes)
6.072 * * [simplify]: iters left: 4 (134 enodes)
6.107 * * [simplify]: iters left: 3 (267 enodes)
6.169 * * [simplify]: iters left: 2 (484 enodes)
6.342 * * [simplify]: Extracting #0: cost 1 inf + 0
6.342 * * [simplify]: Extracting #1: cost 23 inf + 0
6.343 * * [simplify]: Extracting #2: cost 119 inf + 2
6.344 * * [simplify]: Extracting #3: cost 181 inf + 1052
6.348 * * [simplify]: Extracting #4: cost 138 inf + 15748
6.358 * * [simplify]: Extracting #5: cost 53 inf + 52800
6.375 * * [simplify]: Extracting #6: cost 2 inf + 81166
6.393 * * [simplify]: Extracting #7: cost 0 inf + 82877
6.410 * [simplify]: Simplified to (fma (cbrt N) 2/3 (fma 5/9 (cbrt (/ (/ 1 N) N)) (pow (/ 1 N) -4/3)))
6.410 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (* (fma (cbrt N) 2/3 (fma 5/9 (cbrt (/ (/ 1 N) N)) (pow (/ 1 N) -4/3))) (cbrt (fma N (+ N 1) 1)))))
6.411 * * * * [progress]: [ 97 / 97 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3))) (cbrt (fma N (+ N 1) 1)))))>
6.411 * [simplify]: Simplifying (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3)))
6.411 * * [simplify]: iters left: 6 (18 enodes)
6.427 * * [simplify]: iters left: 5 (80 enodes)
6.449 * * [simplify]: iters left: 4 (138 enodes)
6.490 * * [simplify]: iters left: 3 (273 enodes)
6.578 * * [simplify]: Extracting #0: cost 1 inf + 0
6.578 * * [simplify]: Extracting #1: cost 23 inf + 0
6.578 * * [simplify]: Extracting #2: cost 78 inf + 2
6.578 * * [simplify]: Extracting #3: cost 96 inf + 10
6.579 * * [simplify]: Extracting #4: cost 81 inf + 2487
6.581 * * [simplify]: Extracting #5: cost 26 inf + 21478
6.584 * * [simplify]: Extracting #6: cost 1 inf + 32739
6.588 * * [simplify]: Extracting #7: cost 0 inf + 33284
6.591 * [simplify]: Simplified to (fma (cbrt (/ 1 (* N N))) 5/9 (fma (cbrt N) 2/3 (pow (/ -1 N) -4/3)))
6.591 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (* (fma (cbrt (/ 1 (* N N))) 5/9 (fma (cbrt N) 2/3 (pow (/ -1 N) -4/3))) (cbrt (fma N (+ N 1) 1)))))
6.592 * * * [progress]: adding candidates to table
7.406 * * [progress]: iteration 4 / 4
7.406 * * * [progress]: picking best candidate
7.413 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.413 * * * [progress]: localizing error
7.451 * * * [progress]: generating rewritten candidates
7.451 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.452 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1)
7.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
7.453 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1)
7.454 * * * [progress]: generating series expansions
7.454 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.454 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.454 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.454 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.454 * [taylor]: Taking taylor expansion of 1/3 in N
7.454 * [backup-simplify]: Simplify 1/3 into 1/3
7.455 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.455 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.455 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.455 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.455 * [taylor]: Taking taylor expansion of N in N
7.455 * [backup-simplify]: Simplify 0 into 0
7.455 * [backup-simplify]: Simplify 1 into 1
7.455 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.455 * [taylor]: Taking taylor expansion of N in N
7.455 * [backup-simplify]: Simplify 0 into 0
7.455 * [backup-simplify]: Simplify 1 into 1
7.455 * [taylor]: Taking taylor expansion of 1 in N
7.455 * [backup-simplify]: Simplify 1 into 1
7.455 * [taylor]: Taking taylor expansion of 1 in N
7.455 * [backup-simplify]: Simplify 1 into 1
7.455 * [backup-simplify]: Simplify (+ 0 1) into 1
7.456 * [backup-simplify]: Simplify (* 0 1) into 0
7.456 * [backup-simplify]: Simplify (+ 0 1) into 1
7.456 * [backup-simplify]: Simplify (log 1) into 0
7.457 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.457 * [backup-simplify]: Simplify (+ 1 0) into 1
7.457 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.458 * [backup-simplify]: Simplify (+ 1 0) into 1
7.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.459 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.459 * [backup-simplify]: Simplify (exp 0) into 1
7.459 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.459 * [taylor]: Taking taylor expansion of 1/3 in N
7.459 * [backup-simplify]: Simplify 1/3 into 1/3
7.459 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.459 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.459 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.459 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.459 * [taylor]: Taking taylor expansion of N in N
7.459 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.459 * [taylor]: Taking taylor expansion of N in N
7.459 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [taylor]: Taking taylor expansion of 1 in N
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [taylor]: Taking taylor expansion of 1 in N
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [backup-simplify]: Simplify (+ 0 1) into 1
7.460 * [backup-simplify]: Simplify (* 0 1) into 0
7.460 * [backup-simplify]: Simplify (+ 0 1) into 1
7.460 * [backup-simplify]: Simplify (log 1) into 0
7.460 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.461 * [backup-simplify]: Simplify (+ 1 0) into 1
7.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.461 * [backup-simplify]: Simplify (+ 1 0) into 1
7.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.462 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.462 * [backup-simplify]: Simplify (exp 0) into 1
7.463 * [backup-simplify]: Simplify 1 into 1
7.463 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.463 * [backup-simplify]: Simplify 1/3 into 1/3
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.464 * [backup-simplify]: Simplify (+ 1 0) into 1
7.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.466 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.467 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.467 * [backup-simplify]: Simplify 2/9 into 2/9
7.468 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.468 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.468 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.468 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.468 * [taylor]: Taking taylor expansion of 1/3 in N
7.468 * [backup-simplify]: Simplify 1/3 into 1/3
7.468 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.468 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.468 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.468 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.468 * [taylor]: Taking taylor expansion of N in N
7.468 * [backup-simplify]: Simplify 0 into 0
7.468 * [backup-simplify]: Simplify 1 into 1
7.468 * [backup-simplify]: Simplify (/ 1 1) into 1
7.468 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.468 * [taylor]: Taking taylor expansion of N in N
7.468 * [backup-simplify]: Simplify 0 into 0
7.468 * [backup-simplify]: Simplify 1 into 1
7.469 * [backup-simplify]: Simplify (/ 1 1) into 1
7.469 * [taylor]: Taking taylor expansion of 1 in N
7.469 * [backup-simplify]: Simplify 1 into 1
7.469 * [taylor]: Taking taylor expansion of 1 in N
7.469 * [backup-simplify]: Simplify 1 into 1
7.469 * [backup-simplify]: Simplify (+ 1 0) into 1
7.469 * [backup-simplify]: Simplify (* 1 1) into 1
7.470 * [backup-simplify]: Simplify (+ 1 0) into 1
7.470 * [backup-simplify]: Simplify (log 1) into 0
7.470 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.470 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.471 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.471 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.471 * [taylor]: Taking taylor expansion of 1/3 in N
7.471 * [backup-simplify]: Simplify 1/3 into 1/3
7.471 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.471 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.471 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.471 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.471 * [taylor]: Taking taylor expansion of N in N
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 1 into 1
7.471 * [backup-simplify]: Simplify (/ 1 1) into 1
7.471 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.471 * [taylor]: Taking taylor expansion of N in N
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 1 into 1
7.472 * [backup-simplify]: Simplify (/ 1 1) into 1
7.472 * [taylor]: Taking taylor expansion of 1 in N
7.472 * [backup-simplify]: Simplify 1 into 1
7.472 * [taylor]: Taking taylor expansion of 1 in N
7.472 * [backup-simplify]: Simplify 1 into 1
7.472 * [backup-simplify]: Simplify (+ 1 0) into 1
7.473 * [backup-simplify]: Simplify (* 1 1) into 1
7.473 * [backup-simplify]: Simplify (+ 1 0) into 1
7.474 * [backup-simplify]: Simplify (log 1) into 0
7.474 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.474 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.474 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.475 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.476 * [backup-simplify]: Simplify (+ 0 1) into 1
7.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.477 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.478 * [backup-simplify]: Simplify (+ 1 0) into 1
7.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.479 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.480 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.481 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.481 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.482 * [backup-simplify]: Simplify (+ 0 0) into 0
7.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.484 * [backup-simplify]: Simplify (+ 0 1) into 1
7.495 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.496 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.498 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.499 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.499 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.500 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.500 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.500 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.500 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.500 * [taylor]: Taking taylor expansion of 1/3 in N
7.500 * [backup-simplify]: Simplify 1/3 into 1/3
7.500 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.501 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.501 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.501 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.501 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.501 * [taylor]: Taking taylor expansion of -1 in N
7.501 * [backup-simplify]: Simplify -1 into -1
7.501 * [taylor]: Taking taylor expansion of N in N
7.501 * [backup-simplify]: Simplify 0 into 0
7.501 * [backup-simplify]: Simplify 1 into 1
7.501 * [backup-simplify]: Simplify (/ -1 1) into -1
7.501 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.501 * [taylor]: Taking taylor expansion of 1 in N
7.501 * [backup-simplify]: Simplify 1 into 1
7.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.501 * [taylor]: Taking taylor expansion of N in N
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [backup-simplify]: Simplify (/ 1 1) into 1
7.502 * [taylor]: Taking taylor expansion of 1 in N
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [backup-simplify]: Simplify (- 1) into -1
7.503 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.503 * [backup-simplify]: Simplify (* -1 -1) into 1
7.504 * [backup-simplify]: Simplify (+ 1 0) into 1
7.504 * [backup-simplify]: Simplify (log 1) into 0
7.505 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.505 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.505 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.505 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.505 * [taylor]: Taking taylor expansion of 1/3 in N
7.505 * [backup-simplify]: Simplify 1/3 into 1/3
7.505 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.505 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.505 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.506 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.506 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.506 * [taylor]: Taking taylor expansion of -1 in N
7.506 * [backup-simplify]: Simplify -1 into -1
7.506 * [taylor]: Taking taylor expansion of N in N
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 1 into 1
7.506 * [backup-simplify]: Simplify (/ -1 1) into -1
7.506 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.506 * [taylor]: Taking taylor expansion of 1 in N
7.506 * [backup-simplify]: Simplify 1 into 1
7.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.506 * [taylor]: Taking taylor expansion of N in N
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 1 into 1
7.507 * [backup-simplify]: Simplify (/ 1 1) into 1
7.507 * [taylor]: Taking taylor expansion of 1 in N
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [backup-simplify]: Simplify (- 1) into -1
7.508 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.508 * [backup-simplify]: Simplify (* -1 -1) into 1
7.508 * [backup-simplify]: Simplify (+ 1 0) into 1
7.509 * [backup-simplify]: Simplify (log 1) into 0
7.509 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.509 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.510 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.510 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.511 * [backup-simplify]: Simplify (- 0) into 0
7.511 * [backup-simplify]: Simplify (+ 1 0) into 1
7.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.513 * [backup-simplify]: Simplify (+ -1 0) into -1
7.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.515 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.516 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.517 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.517 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.518 * [backup-simplify]: Simplify (- 0) into 0
7.519 * [backup-simplify]: Simplify (+ 0 0) into 0
7.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.521 * [backup-simplify]: Simplify (+ 0 1) into 1
7.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.524 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.525 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.527 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.527 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.528 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.528 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1)
7.528 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.528 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.528 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.528 * [taylor]: Taking taylor expansion of 1/3 in N
7.528 * [backup-simplify]: Simplify 1/3 into 1/3
7.528 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.528 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.528 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.528 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.528 * [taylor]: Taking taylor expansion of N in N
7.528 * [backup-simplify]: Simplify 0 into 0
7.528 * [backup-simplify]: Simplify 1 into 1
7.528 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.528 * [taylor]: Taking taylor expansion of N in N
7.529 * [backup-simplify]: Simplify 0 into 0
7.529 * [backup-simplify]: Simplify 1 into 1
7.529 * [taylor]: Taking taylor expansion of 1 in N
7.529 * [backup-simplify]: Simplify 1 into 1
7.529 * [taylor]: Taking taylor expansion of 1 in N
7.529 * [backup-simplify]: Simplify 1 into 1
7.529 * [backup-simplify]: Simplify (+ 0 1) into 1
7.530 * [backup-simplify]: Simplify (* 0 1) into 0
7.530 * [backup-simplify]: Simplify (+ 0 1) into 1
7.530 * [backup-simplify]: Simplify (log 1) into 0
7.531 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.531 * [backup-simplify]: Simplify (+ 1 0) into 1
7.532 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.532 * [backup-simplify]: Simplify (+ 1 0) into 1
7.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.534 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.534 * [backup-simplify]: Simplify (exp 0) into 1
7.534 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.534 * [taylor]: Taking taylor expansion of 1/3 in N
7.534 * [backup-simplify]: Simplify 1/3 into 1/3
7.534 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.534 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.534 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.534 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.534 * [taylor]: Taking taylor expansion of N in N
7.534 * [backup-simplify]: Simplify 0 into 0
7.534 * [backup-simplify]: Simplify 1 into 1
7.534 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.534 * [taylor]: Taking taylor expansion of N in N
7.534 * [backup-simplify]: Simplify 0 into 0
7.534 * [backup-simplify]: Simplify 1 into 1
7.534 * [taylor]: Taking taylor expansion of 1 in N
7.534 * [backup-simplify]: Simplify 1 into 1
7.534 * [taylor]: Taking taylor expansion of 1 in N
7.534 * [backup-simplify]: Simplify 1 into 1
7.534 * [backup-simplify]: Simplify (+ 0 1) into 1
7.535 * [backup-simplify]: Simplify (* 0 1) into 0
7.535 * [backup-simplify]: Simplify (+ 0 1) into 1
7.535 * [backup-simplify]: Simplify (log 1) into 0
7.535 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.536 * [backup-simplify]: Simplify (+ 1 0) into 1
7.536 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.536 * [backup-simplify]: Simplify (+ 1 0) into 1
7.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.538 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.538 * [backup-simplify]: Simplify (exp 0) into 1
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.538 * [backup-simplify]: Simplify 1/3 into 1/3
7.539 * [backup-simplify]: Simplify (+ 0 0) into 0
7.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.539 * [backup-simplify]: Simplify (+ 1 0) into 1
7.541 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.541 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.542 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.542 * [backup-simplify]: Simplify 2/9 into 2/9
7.542 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.543 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.543 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.543 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.543 * [taylor]: Taking taylor expansion of 1/3 in N
7.543 * [backup-simplify]: Simplify 1/3 into 1/3
7.543 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.543 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.543 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.543 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.543 * [taylor]: Taking taylor expansion of N in N
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify 1 into 1
7.543 * [backup-simplify]: Simplify (/ 1 1) into 1
7.543 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.543 * [taylor]: Taking taylor expansion of N in N
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify 1 into 1
7.543 * [backup-simplify]: Simplify (/ 1 1) into 1
7.543 * [taylor]: Taking taylor expansion of 1 in N
7.543 * [backup-simplify]: Simplify 1 into 1
7.544 * [taylor]: Taking taylor expansion of 1 in N
7.544 * [backup-simplify]: Simplify 1 into 1
7.544 * [backup-simplify]: Simplify (+ 1 0) into 1
7.544 * [backup-simplify]: Simplify (* 1 1) into 1
7.544 * [backup-simplify]: Simplify (+ 1 0) into 1
7.545 * [backup-simplify]: Simplify (log 1) into 0
7.545 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.545 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.545 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.545 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.545 * [taylor]: Taking taylor expansion of 1/3 in N
7.545 * [backup-simplify]: Simplify 1/3 into 1/3
7.545 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.545 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.545 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.545 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.545 * [taylor]: Taking taylor expansion of N in N
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify 1 into 1
7.545 * [backup-simplify]: Simplify (/ 1 1) into 1
7.545 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.545 * [taylor]: Taking taylor expansion of N in N
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify 1 into 1
7.546 * [backup-simplify]: Simplify (/ 1 1) into 1
7.546 * [taylor]: Taking taylor expansion of 1 in N
7.546 * [backup-simplify]: Simplify 1 into 1
7.546 * [taylor]: Taking taylor expansion of 1 in N
7.546 * [backup-simplify]: Simplify 1 into 1
7.546 * [backup-simplify]: Simplify (+ 1 0) into 1
7.546 * [backup-simplify]: Simplify (* 1 1) into 1
7.547 * [backup-simplify]: Simplify (+ 1 0) into 1
7.547 * [backup-simplify]: Simplify (log 1) into 0
7.547 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.547 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.547 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.547 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.548 * [backup-simplify]: Simplify (+ 0 1) into 1
7.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.549 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.549 * [backup-simplify]: Simplify (+ 1 0) into 1
7.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.550 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.551 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.551 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.551 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.552 * [backup-simplify]: Simplify (+ 0 0) into 0
7.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.553 * [backup-simplify]: Simplify (+ 0 1) into 1
7.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.555 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.556 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.557 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.557 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.557 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.557 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.557 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.557 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.557 * [taylor]: Taking taylor expansion of 1/3 in N
7.557 * [backup-simplify]: Simplify 1/3 into 1/3
7.557 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.557 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.557 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.557 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.557 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.557 * [taylor]: Taking taylor expansion of -1 in N
7.557 * [backup-simplify]: Simplify -1 into -1
7.557 * [taylor]: Taking taylor expansion of N in N
7.557 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify 1 into 1
7.558 * [backup-simplify]: Simplify (/ -1 1) into -1
7.558 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.558 * [taylor]: Taking taylor expansion of 1 in N
7.558 * [backup-simplify]: Simplify 1 into 1
7.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.558 * [taylor]: Taking taylor expansion of N in N
7.558 * [backup-simplify]: Simplify 0 into 0
7.558 * [backup-simplify]: Simplify 1 into 1
7.558 * [backup-simplify]: Simplify (/ 1 1) into 1
7.558 * [taylor]: Taking taylor expansion of 1 in N
7.558 * [backup-simplify]: Simplify 1 into 1
7.558 * [backup-simplify]: Simplify (- 1) into -1
7.559 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.559 * [backup-simplify]: Simplify (* -1 -1) into 1
7.559 * [backup-simplify]: Simplify (+ 1 0) into 1
7.559 * [backup-simplify]: Simplify (log 1) into 0
7.560 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.560 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.560 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.560 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.560 * [taylor]: Taking taylor expansion of 1/3 in N
7.560 * [backup-simplify]: Simplify 1/3 into 1/3
7.560 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.560 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.560 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.560 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.560 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.560 * [taylor]: Taking taylor expansion of -1 in N
7.560 * [backup-simplify]: Simplify -1 into -1
7.560 * [taylor]: Taking taylor expansion of N in N
7.560 * [backup-simplify]: Simplify 0 into 0
7.560 * [backup-simplify]: Simplify 1 into 1
7.560 * [backup-simplify]: Simplify (/ -1 1) into -1
7.560 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.560 * [taylor]: Taking taylor expansion of 1 in N
7.560 * [backup-simplify]: Simplify 1 into 1
7.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.561 * [taylor]: Taking taylor expansion of N in N
7.561 * [backup-simplify]: Simplify 0 into 0
7.561 * [backup-simplify]: Simplify 1 into 1
7.561 * [backup-simplify]: Simplify (/ 1 1) into 1
7.561 * [taylor]: Taking taylor expansion of 1 in N
7.561 * [backup-simplify]: Simplify 1 into 1
7.561 * [backup-simplify]: Simplify (- 1) into -1
7.562 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.562 * [backup-simplify]: Simplify (* -1 -1) into 1
7.562 * [backup-simplify]: Simplify (+ 1 0) into 1
7.563 * [backup-simplify]: Simplify (log 1) into 0
7.563 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.563 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.564 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.564 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.565 * [backup-simplify]: Simplify (- 0) into 0
7.565 * [backup-simplify]: Simplify (+ 1 0) into 1
7.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.567 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.567 * [backup-simplify]: Simplify (+ -1 0) into -1
7.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.569 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.570 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.571 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.571 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.573 * [backup-simplify]: Simplify (- 0) into 0
7.573 * [backup-simplify]: Simplify (+ 0 0) into 0
7.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.575 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.575 * [backup-simplify]: Simplify (+ 0 1) into 1
7.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.578 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.579 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.581 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.581 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.582 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
7.582 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.582 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.582 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.582 * [taylor]: Taking taylor expansion of 1/3 in N
7.582 * [backup-simplify]: Simplify 1/3 into 1/3
7.582 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.582 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.582 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.582 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.583 * [taylor]: Taking taylor expansion of N in N
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 1 into 1
7.583 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.583 * [taylor]: Taking taylor expansion of N in N
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 1 into 1
7.583 * [taylor]: Taking taylor expansion of 1 in N
7.583 * [backup-simplify]: Simplify 1 into 1
7.583 * [taylor]: Taking taylor expansion of 1 in N
7.583 * [backup-simplify]: Simplify 1 into 1
7.583 * [backup-simplify]: Simplify (+ 0 1) into 1
7.584 * [backup-simplify]: Simplify (* 0 1) into 0
7.584 * [backup-simplify]: Simplify (+ 0 1) into 1
7.585 * [backup-simplify]: Simplify (log 1) into 0
7.585 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.586 * [backup-simplify]: Simplify (+ 1 0) into 1
7.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.587 * [backup-simplify]: Simplify (+ 1 0) into 1
7.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.589 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.589 * [backup-simplify]: Simplify (exp 0) into 1
7.589 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.589 * [taylor]: Taking taylor expansion of 1/3 in N
7.589 * [backup-simplify]: Simplify 1/3 into 1/3
7.589 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.589 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.589 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.589 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.589 * [taylor]: Taking taylor expansion of N in N
7.589 * [backup-simplify]: Simplify 0 into 0
7.589 * [backup-simplify]: Simplify 1 into 1
7.589 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.589 * [taylor]: Taking taylor expansion of N in N
7.589 * [backup-simplify]: Simplify 0 into 0
7.589 * [backup-simplify]: Simplify 1 into 1
7.589 * [taylor]: Taking taylor expansion of 1 in N
7.589 * [backup-simplify]: Simplify 1 into 1
7.589 * [taylor]: Taking taylor expansion of 1 in N
7.589 * [backup-simplify]: Simplify 1 into 1
7.590 * [backup-simplify]: Simplify (+ 0 1) into 1
7.590 * [backup-simplify]: Simplify (* 0 1) into 0
7.591 * [backup-simplify]: Simplify (+ 0 1) into 1
7.591 * [backup-simplify]: Simplify (log 1) into 0
7.591 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.592 * [backup-simplify]: Simplify (+ 1 0) into 1
7.593 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.593 * [backup-simplify]: Simplify (+ 1 0) into 1
7.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.595 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.595 * [backup-simplify]: Simplify (exp 0) into 1
7.595 * [backup-simplify]: Simplify 1 into 1
7.596 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.596 * [backup-simplify]: Simplify 1/3 into 1/3
7.597 * [backup-simplify]: Simplify (+ 0 0) into 0
7.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.598 * [backup-simplify]: Simplify (+ 1 0) into 1
7.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.602 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.604 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.604 * [backup-simplify]: Simplify 2/9 into 2/9
7.604 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.604 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.604 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.604 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.605 * [taylor]: Taking taylor expansion of 1/3 in N
7.605 * [backup-simplify]: Simplify 1/3 into 1/3
7.605 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.605 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.605 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.605 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.605 * [taylor]: Taking taylor expansion of N in N
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.605 * [backup-simplify]: Simplify (/ 1 1) into 1
7.605 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.605 * [taylor]: Taking taylor expansion of N in N
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.606 * [backup-simplify]: Simplify (/ 1 1) into 1
7.606 * [taylor]: Taking taylor expansion of 1 in N
7.606 * [backup-simplify]: Simplify 1 into 1
7.606 * [taylor]: Taking taylor expansion of 1 in N
7.606 * [backup-simplify]: Simplify 1 into 1
7.606 * [backup-simplify]: Simplify (+ 1 0) into 1
7.607 * [backup-simplify]: Simplify (* 1 1) into 1
7.607 * [backup-simplify]: Simplify (+ 1 0) into 1
7.608 * [backup-simplify]: Simplify (log 1) into 0
7.608 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.608 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.608 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.608 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.608 * [taylor]: Taking taylor expansion of 1/3 in N
7.608 * [backup-simplify]: Simplify 1/3 into 1/3
7.608 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.608 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.608 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.608 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.609 * [taylor]: Taking taylor expansion of N in N
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 1 into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.609 * [taylor]: Taking taylor expansion of N in N
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 1 into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.610 * [taylor]: Taking taylor expansion of 1 in N
7.610 * [backup-simplify]: Simplify 1 into 1
7.610 * [taylor]: Taking taylor expansion of 1 in N
7.610 * [backup-simplify]: Simplify 1 into 1
7.610 * [backup-simplify]: Simplify (+ 1 0) into 1
7.610 * [backup-simplify]: Simplify (* 1 1) into 1
7.611 * [backup-simplify]: Simplify (+ 1 0) into 1
7.611 * [backup-simplify]: Simplify (log 1) into 0
7.612 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.612 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.612 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.612 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.613 * [backup-simplify]: Simplify (+ 0 1) into 1
7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.615 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.615 * [backup-simplify]: Simplify (+ 1 0) into 1
7.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.617 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.617 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.618 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.618 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.620 * [backup-simplify]: Simplify (+ 0 0) into 0
7.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.622 * [backup-simplify]: Simplify (+ 0 1) into 1
7.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.632 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.633 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.634 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.634 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.634 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.634 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.634 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.634 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.635 * [taylor]: Taking taylor expansion of 1/3 in N
7.635 * [backup-simplify]: Simplify 1/3 into 1/3
7.635 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.635 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.635 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.635 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.635 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.635 * [taylor]: Taking taylor expansion of -1 in N
7.635 * [backup-simplify]: Simplify -1 into -1
7.635 * [taylor]: Taking taylor expansion of N in N
7.635 * [backup-simplify]: Simplify 0 into 0
7.635 * [backup-simplify]: Simplify 1 into 1
7.635 * [backup-simplify]: Simplify (/ -1 1) into -1
7.635 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.635 * [taylor]: Taking taylor expansion of 1 in N
7.635 * [backup-simplify]: Simplify 1 into 1
7.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.635 * [taylor]: Taking taylor expansion of N in N
7.635 * [backup-simplify]: Simplify 0 into 0
7.635 * [backup-simplify]: Simplify 1 into 1
7.636 * [backup-simplify]: Simplify (/ 1 1) into 1
7.636 * [taylor]: Taking taylor expansion of 1 in N
7.636 * [backup-simplify]: Simplify 1 into 1
7.636 * [backup-simplify]: Simplify (- 1) into -1
7.636 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.636 * [backup-simplify]: Simplify (* -1 -1) into 1
7.637 * [backup-simplify]: Simplify (+ 1 0) into 1
7.637 * [backup-simplify]: Simplify (log 1) into 0
7.637 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.637 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.637 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.637 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.637 * [taylor]: Taking taylor expansion of 1/3 in N
7.637 * [backup-simplify]: Simplify 1/3 into 1/3
7.638 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.638 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.638 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.638 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.638 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.638 * [taylor]: Taking taylor expansion of -1 in N
7.638 * [backup-simplify]: Simplify -1 into -1
7.638 * [taylor]: Taking taylor expansion of N in N
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [backup-simplify]: Simplify (/ -1 1) into -1
7.638 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.638 * [taylor]: Taking taylor expansion of 1 in N
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.638 * [taylor]: Taking taylor expansion of N in N
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [backup-simplify]: Simplify (/ 1 1) into 1
7.638 * [taylor]: Taking taylor expansion of 1 in N
7.638 * [backup-simplify]: Simplify 1 into 1
7.639 * [backup-simplify]: Simplify (- 1) into -1
7.639 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.639 * [backup-simplify]: Simplify (* -1 -1) into 1
7.639 * [backup-simplify]: Simplify (+ 1 0) into 1
7.640 * [backup-simplify]: Simplify (log 1) into 0
7.640 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.640 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.640 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.640 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.641 * [backup-simplify]: Simplify (- 0) into 0
7.641 * [backup-simplify]: Simplify (+ 1 0) into 1
7.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.642 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.642 * [backup-simplify]: Simplify (+ -1 0) into -1
7.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.643 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.644 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.644 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.644 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.645 * [backup-simplify]: Simplify (- 0) into 0
7.645 * [backup-simplify]: Simplify (+ 0 0) into 0
7.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.647 * [backup-simplify]: Simplify (+ 0 1) into 1
7.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.649 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.649 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.650 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.650 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.651 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1)
7.651 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3)
7.651 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0
7.651 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.651 * [taylor]: Taking taylor expansion of 1/3 in N
7.651 * [backup-simplify]: Simplify 1/3 into 1/3
7.651 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.651 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.651 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.651 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.651 * [taylor]: Taking taylor expansion of N in N
7.651 * [backup-simplify]: Simplify 0 into 0
7.651 * [backup-simplify]: Simplify 1 into 1
7.651 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.651 * [taylor]: Taking taylor expansion of N in N
7.651 * [backup-simplify]: Simplify 0 into 0
7.651 * [backup-simplify]: Simplify 1 into 1
7.651 * [taylor]: Taking taylor expansion of 1 in N
7.651 * [backup-simplify]: Simplify 1 into 1
7.651 * [taylor]: Taking taylor expansion of 1 in N
7.651 * [backup-simplify]: Simplify 1 into 1
7.651 * [backup-simplify]: Simplify (+ 0 1) into 1
7.652 * [backup-simplify]: Simplify (* 0 1) into 0
7.652 * [backup-simplify]: Simplify (+ 0 1) into 1
7.652 * [backup-simplify]: Simplify (log 1) into 0
7.652 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.653 * [backup-simplify]: Simplify (+ 1 0) into 1
7.653 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.653 * [backup-simplify]: Simplify (+ 1 0) into 1
7.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.654 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.654 * [backup-simplify]: Simplify (exp 0) into 1
7.654 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N
7.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
7.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
7.655 * [taylor]: Taking taylor expansion of 1/3 in N
7.655 * [backup-simplify]: Simplify 1/3 into 1/3
7.655 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
7.655 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N
7.655 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1)
7.655 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N
7.655 * [taylor]: Taking taylor expansion of N in N
7.655 * [backup-simplify]: Simplify 0 into 0
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [taylor]: Taking taylor expansion of (+ N 1) in N
7.655 * [taylor]: Taking taylor expansion of N in N
7.655 * [backup-simplify]: Simplify 0 into 0
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [taylor]: Taking taylor expansion of 1 in N
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [taylor]: Taking taylor expansion of 1 in N
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [backup-simplify]: Simplify (+ 0 1) into 1
7.655 * [backup-simplify]: Simplify (* 0 1) into 0
7.656 * [backup-simplify]: Simplify (+ 0 1) into 1
7.656 * [backup-simplify]: Simplify (log 1) into 0
7.656 * [backup-simplify]: Simplify (* 1/3 0) into 0
7.657 * [backup-simplify]: Simplify (+ 1 0) into 1
7.657 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1
7.657 * [backup-simplify]: Simplify (+ 1 0) into 1
7.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.658 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
7.658 * [backup-simplify]: Simplify (exp 0) into 1
7.658 * [backup-simplify]: Simplify 1 into 1
7.659 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
7.659 * [backup-simplify]: Simplify 1/3 into 1/3
7.659 * [backup-simplify]: Simplify (+ 0 0) into 0
7.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
7.660 * [backup-simplify]: Simplify (+ 1 0) into 1
7.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.663 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6
7.665 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9
7.665 * [backup-simplify]: Simplify 2/9 into 2/9
7.665 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.665 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
7.665 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0
7.665 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.665 * [taylor]: Taking taylor expansion of 1/3 in N
7.665 * [backup-simplify]: Simplify 1/3 into 1/3
7.665 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.665 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.666 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.666 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.666 * [taylor]: Taking taylor expansion of N in N
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.666 * [backup-simplify]: Simplify (/ 1 1) into 1
7.666 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.666 * [taylor]: Taking taylor expansion of N in N
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.667 * [backup-simplify]: Simplify (/ 1 1) into 1
7.667 * [taylor]: Taking taylor expansion of 1 in N
7.667 * [backup-simplify]: Simplify 1 into 1
7.667 * [taylor]: Taking taylor expansion of 1 in N
7.667 * [backup-simplify]: Simplify 1 into 1
7.667 * [backup-simplify]: Simplify (+ 1 0) into 1
7.668 * [backup-simplify]: Simplify (* 1 1) into 1
7.668 * [backup-simplify]: Simplify (+ 1 0) into 1
7.668 * [backup-simplify]: Simplify (log 1) into 0
7.669 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.669 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.669 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.669 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N
7.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
7.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
7.669 * [taylor]: Taking taylor expansion of 1/3 in N
7.669 * [backup-simplify]: Simplify 1/3 into 1/3
7.669 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
7.669 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
7.669 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
7.669 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
7.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.669 * [taylor]: Taking taylor expansion of N in N
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify 1 into 1
7.670 * [backup-simplify]: Simplify (/ 1 1) into 1
7.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
7.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.670 * [taylor]: Taking taylor expansion of N in N
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify 1 into 1
7.670 * [backup-simplify]: Simplify (/ 1 1) into 1
7.670 * [taylor]: Taking taylor expansion of 1 in N
7.670 * [backup-simplify]: Simplify 1 into 1
7.670 * [taylor]: Taking taylor expansion of 1 in N
7.670 * [backup-simplify]: Simplify 1 into 1
7.671 * [backup-simplify]: Simplify (+ 1 0) into 1
7.671 * [backup-simplify]: Simplify (* 1 1) into 1
7.672 * [backup-simplify]: Simplify (+ 1 0) into 1
7.672 * [backup-simplify]: Simplify (log 1) into 0
7.673 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.673 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.673 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.673 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.674 * [backup-simplify]: Simplify (+ 0 1) into 1
7.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.675 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1
7.675 * [backup-simplify]: Simplify (+ 1 0) into 1
7.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
7.676 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.676 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
7.677 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.677 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.678 * [backup-simplify]: Simplify (+ 0 0) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
7.679 * [backup-simplify]: Simplify (+ 0 1) into 1
7.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.681 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
7.682 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.682 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.682 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.683 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3)
7.683 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0
7.683 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.683 * [taylor]: Taking taylor expansion of 1/3 in N
7.683 * [backup-simplify]: Simplify 1/3 into 1/3
7.683 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.683 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.683 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.683 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.683 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.683 * [taylor]: Taking taylor expansion of -1 in N
7.683 * [backup-simplify]: Simplify -1 into -1
7.683 * [taylor]: Taking taylor expansion of N in N
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.683 * [backup-simplify]: Simplify (/ -1 1) into -1
7.683 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.683 * [taylor]: Taking taylor expansion of 1 in N
7.683 * [backup-simplify]: Simplify 1 into 1
7.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.683 * [taylor]: Taking taylor expansion of N in N
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.684 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [taylor]: Taking taylor expansion of 1 in N
7.684 * [backup-simplify]: Simplify 1 into 1
7.684 * [backup-simplify]: Simplify (- 1) into -1
7.684 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.684 * [backup-simplify]: Simplify (* -1 -1) into 1
7.685 * [backup-simplify]: Simplify (+ 1 0) into 1
7.685 * [backup-simplify]: Simplify (log 1) into 0
7.685 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.685 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.686 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.686 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N
7.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N
7.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N
7.686 * [taylor]: Taking taylor expansion of 1/3 in N
7.686 * [backup-simplify]: Simplify 1/3 into 1/3
7.686 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N
7.686 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N
7.686 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1)
7.686 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N
7.686 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.686 * [taylor]: Taking taylor expansion of -1 in N
7.686 * [backup-simplify]: Simplify -1 into -1
7.686 * [taylor]: Taking taylor expansion of N in N
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 1 into 1
7.686 * [backup-simplify]: Simplify (/ -1 1) into -1
7.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
7.686 * [taylor]: Taking taylor expansion of 1 in N
7.686 * [backup-simplify]: Simplify 1 into 1
7.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.686 * [taylor]: Taking taylor expansion of N in N
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 1 into 1
7.686 * [backup-simplify]: Simplify (/ 1 1) into 1
7.686 * [taylor]: Taking taylor expansion of 1 in N
7.687 * [backup-simplify]: Simplify 1 into 1
7.687 * [backup-simplify]: Simplify (- 1) into -1
7.687 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.687 * [backup-simplify]: Simplify (* -1 -1) into 1
7.688 * [backup-simplify]: Simplify (+ 1 0) into 1
7.688 * [backup-simplify]: Simplify (log 1) into 0
7.688 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.688 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
7.688 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
7.688 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3)
7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.689 * [backup-simplify]: Simplify (- 0) into 0
7.689 * [backup-simplify]: Simplify (+ 1 0) into 1
7.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.691 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
7.691 * [backup-simplify]: Simplify (+ -1 0) into -1
7.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
7.692 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.692 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
7.693 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.693 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (- 0) into 0
7.694 * [backup-simplify]: Simplify (+ 0 0) into 0
7.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.696 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
7.696 * [backup-simplify]: Simplify (+ 0 1) into 1
7.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
7.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
7.698 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
7.699 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.699 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
7.700 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.700 * * * [progress]: simplifying candidates
7.700 * * * * [progress]: [ 1 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (log1p (expm1 (cbrt (fma N (+ N 1) 1)))))))>
7.700 * * * * [progress]: [ 2 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (expm1 (log1p (cbrt (fma N (+ N 1) 1)))))))>
7.700 * * * * [progress]: [ 3 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (pow (fma N (+ N 1) 1) 1/3))))>
7.700 * * * * [progress]: [ 4 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (pow (cbrt (fma N (+ N 1) 1)) 1))))>
7.700 * * * * [progress]: [ 5 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (exp (log (cbrt (fma N (+ N 1) 1)))))))>
7.700 * * * * [progress]: [ 6 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (log (exp (cbrt (fma N (+ N 1) 1)))))))>
7.700 * * * * [progress]: [ 7 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))>
7.700 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
7.701 * * [simplify]: iters left: 6 (7 enodes)
7.703 * * [simplify]: iters left: 5 (26 enodes)
7.709 * * [simplify]: iters left: 4 (39 enodes)
7.721 * * [simplify]: iters left: 3 (46 enodes)
7.732 * * [simplify]: Extracting #0: cost 1 inf + 0
7.732 * * [simplify]: Extracting #1: cost 3 inf + 0
7.732 * * [simplify]: Extracting #2: cost 5 inf + 0
7.732 * * [simplify]: Extracting #3: cost 7 inf + 0
7.733 * * [simplify]: Extracting #4: cost 12 inf + 0
7.733 * * [simplify]: Extracting #5: cost 13 inf + 2
7.733 * * [simplify]: Extracting #6: cost 8 inf + 377
7.733 * * [simplify]: Extracting #7: cost 4 inf + 868
7.734 * * [simplify]: Extracting #8: cost 1 inf + 1559
7.734 * * [simplify]: Extracting #9: cost 0 inf + 1856
7.735 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
7.735 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))
7.736 * * * * [progress]: [ 8 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))>
7.736 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
7.736 * * [simplify]: iters left: 5 (6 enodes)
7.739 * * [simplify]: iters left: 4 (23 enodes)
7.752 * * [simplify]: iters left: 3 (36 enodes)
7.763 * * [simplify]: iters left: 2 (43 enodes)
7.768 * * [simplify]: Extracting #0: cost 1 inf + 0
7.768 * * [simplify]: Extracting #1: cost 3 inf + 0
7.768 * * [simplify]: Extracting #2: cost 5 inf + 0
7.768 * * [simplify]: Extracting #3: cost 10 inf + 0
7.768 * * [simplify]: Extracting #4: cost 10 inf + 44
7.768 * * [simplify]: Extracting #5: cost 6 inf + 336
7.768 * * [simplify]: Extracting #6: cost 1 inf + 965
7.768 * * [simplify]: Extracting #7: cost 0 inf + 1182
7.769 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
7.769 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1)))))))
7.769 * * * * [progress]: [ 9 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))>
7.769 * [simplify]: Simplifying (cbrt 1)
7.769 * * [simplify]: iters left: 1 (2 enodes)
7.771 * * [simplify]: Extracting #0: cost 1 inf + 0
7.771 * * [simplify]: Extracting #1: cost 0 inf + 1
7.771 * [simplify]: Simplified to 1
7.771 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* 1 (cbrt (fma N (+ N 1) 1))))))
7.771 * * * * [progress]: [ 10 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))>
7.771 * * * * [progress]: [ 11 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
7.771 * * * * [progress]: [ 12 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
7.772 * * * * [progress]: [ 13 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* 1 (cbrt (fma N (+ N 1) 1))))))>
7.772 * * * * [progress]: [ 14 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1)))))))>
7.772 * * * * [progress]: [ 15 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (log1p (expm1 (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * * * * [progress]: [ 16 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (expm1 (log1p (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * * * * [progress]: [ 17 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (pow (fma N (+ N 1) 1) 1/3)))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * * * * [progress]: [ 18 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (pow (cbrt (fma N (+ N 1) 1)) 1)))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * * * * [progress]: [ 19 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (exp (log (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * * * * [progress]: [ 20 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (log (exp (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * * * * [progress]: [ 21 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.772 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
7.772 * * [simplify]: iters left: 6 (7 enodes)
7.774 * * [simplify]: iters left: 5 (26 enodes)
7.779 * * [simplify]: iters left: 4 (39 enodes)
7.785 * * [simplify]: iters left: 3 (46 enodes)
7.791 * * [simplify]: Extracting #0: cost 1 inf + 0
7.792 * * [simplify]: Extracting #1: cost 3 inf + 0
7.792 * * [simplify]: Extracting #2: cost 5 inf + 0
7.792 * * [simplify]: Extracting #3: cost 7 inf + 0
7.792 * * [simplify]: Extracting #4: cost 12 inf + 0
7.792 * * [simplify]: Extracting #5: cost 13 inf + 2
7.792 * * [simplify]: Extracting #6: cost 8 inf + 377
7.792 * * [simplify]: Extracting #7: cost 4 inf + 868
7.793 * * [simplify]: Extracting #8: cost 1 inf + 1559
7.794 * * [simplify]: Extracting #9: cost 0 inf + 1856
7.794 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
7.794 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))
7.795 * * * * [progress]: [ 22 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.795 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
7.795 * * [simplify]: iters left: 5 (6 enodes)
7.799 * * [simplify]: iters left: 4 (23 enodes)
7.806 * * [simplify]: iters left: 3 (36 enodes)
7.812 * * [simplify]: iters left: 2 (43 enodes)
7.817 * * [simplify]: Extracting #0: cost 1 inf + 0
7.817 * * [simplify]: Extracting #1: cost 3 inf + 0
7.817 * * [simplify]: Extracting #2: cost 5 inf + 0
7.817 * * [simplify]: Extracting #3: cost 10 inf + 0
7.817 * * [simplify]: Extracting #4: cost 10 inf + 44
7.818 * * [simplify]: Extracting #5: cost 6 inf + 336
7.818 * * [simplify]: Extracting #6: cost 1 inf + 965
7.818 * * [simplify]: Extracting #7: cost 0 inf + 1182
7.818 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
7.818 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))
7.818 * * * * [progress]: [ 23 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))))) (cbrt (fma N (+ N 1) 1)))))>
7.819 * [simplify]: Simplifying (cbrt 1)
7.819 * * [simplify]: iters left: 1 (2 enodes)
7.821 * * [simplify]: Extracting #0: cost 1 inf + 0
7.821 * * [simplify]: Extracting #1: cost 0 inf + 1
7.821 * [simplify]: Simplified to 1
7.821 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* 1 (cbrt (fma N (+ N 1) 1)))))) (cbrt (fma N (+ N 1) 1)))))
7.821 * * * * [progress]: [ 24 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 25 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 26 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 27 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* 1 (cbrt (fma N (+ N 1) 1)))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 29 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (log1p (expm1 (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 30 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (expm1 (log1p (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.821 * * * * [progress]: [ 31 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (pow (fma N (+ N 1) 1) 1/3)) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.822 * * * * [progress]: [ 32 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (pow (cbrt (fma N (+ N 1) 1)) 1)) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.822 * * * * [progress]: [ 33 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (exp (log (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.822 * * * * [progress]: [ 34 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (log (exp (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.822 * * * * [progress]: [ 35 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.822 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
7.822 * * [simplify]: iters left: 6 (7 enodes)
7.824 * * [simplify]: iters left: 5 (26 enodes)
7.828 * * [simplify]: iters left: 4 (39 enodes)
7.835 * * [simplify]: iters left: 3 (46 enodes)
7.840 * * [simplify]: Extracting #0: cost 1 inf + 0
7.840 * * [simplify]: Extracting #1: cost 3 inf + 0
7.840 * * [simplify]: Extracting #2: cost 5 inf + 0
7.840 * * [simplify]: Extracting #3: cost 7 inf + 0
7.840 * * [simplify]: Extracting #4: cost 12 inf + 0
7.840 * * [simplify]: Extracting #5: cost 13 inf + 2
7.840 * * [simplify]: Extracting #6: cost 8 inf + 377
7.841 * * [simplify]: Extracting #7: cost 4 inf + 868
7.841 * * [simplify]: Extracting #8: cost 1 inf + 1559
7.841 * * [simplify]: Extracting #9: cost 0 inf + 1856
7.842 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
7.842 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
7.842 * * * * [progress]: [ 36 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.842 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
7.842 * * [simplify]: iters left: 5 (6 enodes)
7.844 * * [simplify]: iters left: 4 (23 enodes)
7.850 * * [simplify]: iters left: 3 (36 enodes)
7.859 * * [simplify]: iters left: 2 (43 enodes)
7.865 * * [simplify]: Extracting #0: cost 1 inf + 0
7.865 * * [simplify]: Extracting #1: cost 3 inf + 0
7.865 * * [simplify]: Extracting #2: cost 5 inf + 0
7.865 * * [simplify]: Extracting #3: cost 10 inf + 0
7.865 * * [simplify]: Extracting #4: cost 10 inf + 44
7.866 * * [simplify]: Extracting #5: cost 6 inf + 336
7.866 * * [simplify]: Extracting #6: cost 1 inf + 965
7.866 * * [simplify]: Extracting #7: cost 0 inf + 1182
7.866 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
7.866 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
7.866 * * * * [progress]: [ 37 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.867 * [simplify]: Simplifying (cbrt 1)
7.867 * * [simplify]: iters left: 1 (2 enodes)
7.868 * * [simplify]: Extracting #0: cost 1 inf + 0
7.869 * * [simplify]: Extracting #1: cost 0 inf + 1
7.869 * [simplify]: Simplified to 1
7.869 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* 1 (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
7.869 * * * * [progress]: [ 38 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 39 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 40 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 41 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (* 1 (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 42 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 43 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (log1p (expm1 (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 44 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (expm1 (log1p (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 45 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (pow (fma N (+ N 1) 1) 1/3))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 46 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (pow (cbrt (fma N (+ N 1) 1)) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 47 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (exp (log (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 48 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (log (exp (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * * * * [progress]: [ 49 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.869 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
7.869 * * [simplify]: iters left: 6 (7 enodes)
7.871 * * [simplify]: iters left: 5 (26 enodes)
7.875 * * [simplify]: iters left: 4 (39 enodes)
7.881 * * [simplify]: iters left: 3 (46 enodes)
7.887 * * [simplify]: Extracting #0: cost 1 inf + 0
7.887 * * [simplify]: Extracting #1: cost 3 inf + 0
7.887 * * [simplify]: Extracting #2: cost 5 inf + 0
7.887 * * [simplify]: Extracting #3: cost 7 inf + 0
7.887 * * [simplify]: Extracting #4: cost 12 inf + 0
7.888 * * [simplify]: Extracting #5: cost 13 inf + 2
7.888 * * [simplify]: Extracting #6: cost 8 inf + 377
7.888 * * [simplify]: Extracting #7: cost 4 inf + 868
7.888 * * [simplify]: Extracting #8: cost 1 inf + 1559
7.888 * * [simplify]: Extracting #9: cost 0 inf + 1856
7.889 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))))
7.889 * [simplify]: Simplified (2 2 1 1 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
7.889 * * * * [progress]: [ 50 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.889 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
7.889 * * [simplify]: iters left: 5 (6 enodes)
7.892 * * [simplify]: iters left: 4 (23 enodes)
7.900 * * [simplify]: iters left: 3 (36 enodes)
7.909 * * [simplify]: iters left: 2 (43 enodes)
7.914 * * [simplify]: Extracting #0: cost 1 inf + 0
7.914 * * [simplify]: Extracting #1: cost 3 inf + 0
7.914 * * [simplify]: Extracting #2: cost 5 inf + 0
7.914 * * [simplify]: Extracting #3: cost 10 inf + 0
7.914 * * [simplify]: Extracting #4: cost 10 inf + 44
7.914 * * [simplify]: Extracting #5: cost 6 inf + 336
7.915 * * [simplify]: Extracting #6: cost 1 inf + 965
7.915 * * [simplify]: Extracting #7: cost 0 inf + 1182
7.915 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N))))
7.915 * [simplify]: Simplified (2 2 1 1 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
7.915 * * * * [progress]: [ 51 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.915 * [simplify]: Simplifying (cbrt 1)
7.916 * * [simplify]: iters left: 1 (2 enodes)
7.918 * * [simplify]: Extracting #0: cost 1 inf + 0
7.918 * * [simplify]: Extracting #1: cost 0 inf + 1
7.918 * [simplify]: Simplified to 1
7.918 * [simplify]: Simplified (2 2 1 1 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* 1 (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
7.918 * * * * [progress]: [ 52 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.918 * * * * [progress]: [ 53 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.918 * * * * [progress]: [ 54 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.918 * * * * [progress]: [ 55 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* 1 (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.918 * * * * [progress]: [ 56 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (posit16->real (real->posit16 (cbrt (fma N (+ N 1) 1)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
7.918 * * * * [progress]: [ 57 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
7.918 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
7.918 * * [simplify]: iters left: 6 (10 enodes)
7.922 * * [simplify]: iters left: 5 (44 enodes)
7.930 * * [simplify]: iters left: 4 (62 enodes)
7.948 * * [simplify]: iters left: 3 (90 enodes)
7.964 * * [simplify]: iters left: 2 (112 enodes)
7.979 * * [simplify]: iters left: 1 (124 enodes)
7.991 * * [simplify]: Extracting #0: cost 1 inf + 0
7.992 * * [simplify]: Extracting #1: cost 14 inf + 0
7.992 * * [simplify]: Extracting #2: cost 17 inf + 87
7.993 * * [simplify]: Extracting #3: cost 4 inf + 943
7.994 * * [simplify]: Extracting #4: cost 0 inf + 1271
7.995 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
7.995 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (fma N (fma N 2/9 1/3) 1))))
7.995 * * * * [progress]: [ 58 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
7.995 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
7.996 * * [simplify]: iters left: 6 (16 enodes)
8.006 * * [simplify]: iters left: 5 (73 enodes)
8.022 * * [simplify]: iters left: 4 (144 enodes)
8.053 * * [simplify]: iters left: 3 (279 enodes)
8.118 * * [simplify]: Extracting #0: cost 1 inf + 0
8.118 * * [simplify]: Extracting #1: cost 23 inf + 0
8.118 * * [simplify]: Extracting #2: cost 76 inf + 2
8.118 * * [simplify]: Extracting #3: cost 97 inf + 8
8.119 * * [simplify]: Extracting #4: cost 88 inf + 2817
8.120 * * [simplify]: Extracting #5: cost 50 inf + 14443
8.123 * * [simplify]: Extracting #6: cost 18 inf + 26768
8.127 * * [simplify]: Extracting #7: cost 0 inf + 36432
8.132 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
8.132 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))))))
8.132 * * * * [progress]: [ 59 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
8.132 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
8.133 * * [simplify]: iters left: 6 (18 enodes)
8.139 * * [simplify]: iters left: 5 (79 enodes)
8.166 * * [simplify]: iters left: 4 (150 enodes)
8.199 * * [simplify]: iters left: 3 (285 enodes)
8.278 * * [simplify]: Extracting #0: cost 1 inf + 0
8.278 * * [simplify]: Extracting #1: cost 23 inf + 0
8.278 * * [simplify]: Extracting #2: cost 78 inf + 2
8.279 * * [simplify]: Extracting #3: cost 101 inf + 8
8.279 * * [simplify]: Extracting #4: cost 95 inf + 1133
8.281 * * [simplify]: Extracting #5: cost 38 inf + 18588
8.286 * * [simplify]: Extracting #6: cost 2 inf + 37269
8.290 * * [simplify]: Extracting #7: cost 0 inf + 37268
8.295 * * [simplify]: Extracting #8: cost 0 inf + 37228
8.303 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
8.303 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))))))
8.303 * * * * [progress]: [ 60 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))))) (cbrt (fma N (+ N 1) 1)))))>
8.303 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
8.303 * * [simplify]: iters left: 6 (10 enodes)
8.308 * * [simplify]: iters left: 5 (44 enodes)
8.323 * * [simplify]: iters left: 4 (62 enodes)
8.339 * * [simplify]: iters left: 3 (90 enodes)
8.351 * * [simplify]: iters left: 2 (112 enodes)
8.372 * * [simplify]: iters left: 1 (124 enodes)
8.383 * * [simplify]: Extracting #0: cost 1 inf + 0
8.383 * * [simplify]: Extracting #1: cost 14 inf + 0
8.384 * * [simplify]: Extracting #2: cost 17 inf + 87
8.384 * * [simplify]: Extracting #3: cost 4 inf + 943
8.384 * * [simplify]: Extracting #4: cost 0 inf + 1271
8.385 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
8.385 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma N (fma N 2/9 1/3) 1)))) (cbrt (fma N (+ N 1) 1)))))
8.385 * * * * [progress]: [ 61 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))))) (cbrt (fma N (+ N 1) 1)))))>
8.385 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
8.385 * * [simplify]: iters left: 6 (16 enodes)
8.391 * * [simplify]: iters left: 5 (73 enodes)
8.410 * * [simplify]: iters left: 4 (144 enodes)
8.440 * * [simplify]: iters left: 3 (279 enodes)
8.499 * * [simplify]: Extracting #0: cost 1 inf + 0
8.499 * * [simplify]: Extracting #1: cost 23 inf + 0
8.500 * * [simplify]: Extracting #2: cost 76 inf + 2
8.500 * * [simplify]: Extracting #3: cost 97 inf + 8
8.501 * * [simplify]: Extracting #4: cost 88 inf + 2817
8.502 * * [simplify]: Extracting #5: cost 50 inf + 14443
8.505 * * [simplify]: Extracting #6: cost 18 inf + 26768
8.509 * * [simplify]: Extracting #7: cost 0 inf + 36432
8.514 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
8.514 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))))) (cbrt (fma N (+ N 1) 1)))))
8.514 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))))) (cbrt (fma N (+ N 1) 1)))))>
8.514 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
8.514 * * [simplify]: iters left: 6 (18 enodes)
8.521 * * [simplify]: iters left: 5 (79 enodes)
8.544 * * [simplify]: iters left: 4 (150 enodes)
8.580 * * [simplify]: iters left: 3 (285 enodes)
8.644 * * [simplify]: Extracting #0: cost 1 inf + 0
8.644 * * [simplify]: Extracting #1: cost 23 inf + 0
8.644 * * [simplify]: Extracting #2: cost 78 inf + 2
8.645 * * [simplify]: Extracting #3: cost 101 inf + 8
8.645 * * [simplify]: Extracting #4: cost 95 inf + 1133
8.647 * * [simplify]: Extracting #5: cost 38 inf + 18588
8.651 * * [simplify]: Extracting #6: cost 2 inf + 37269
8.657 * * [simplify]: Extracting #7: cost 0 inf + 37268
8.661 * * [simplify]: Extracting #8: cost 0 inf + 37228
8.666 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
8.666 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))))) (cbrt (fma N (+ N 1) 1)))))
8.666 * * * * [progress]: [ 63 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
8.667 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
8.667 * * [simplify]: iters left: 6 (10 enodes)
8.671 * * [simplify]: iters left: 5 (44 enodes)
8.682 * * [simplify]: iters left: 4 (62 enodes)
8.693 * * [simplify]: iters left: 3 (90 enodes)
8.705 * * [simplify]: iters left: 2 (112 enodes)
8.730 * * [simplify]: iters left: 1 (124 enodes)
8.749 * * [simplify]: Extracting #0: cost 1 inf + 0
8.749 * * [simplify]: Extracting #1: cost 14 inf + 0
8.749 * * [simplify]: Extracting #2: cost 17 inf + 87
8.750 * * [simplify]: Extracting #3: cost 4 inf + 943
8.750 * * [simplify]: Extracting #4: cost 0 inf + 1271
8.751 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
8.751 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (fma N (fma N 2/9 1/3) 1)) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
8.751 * * * * [progress]: [ 64 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
8.751 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
8.751 * * [simplify]: iters left: 6 (16 enodes)
8.757 * * [simplify]: iters left: 5 (73 enodes)
8.774 * * [simplify]: iters left: 4 (144 enodes)
8.812 * * [simplify]: iters left: 3 (279 enodes)
8.876 * * [simplify]: Extracting #0: cost 1 inf + 0
8.876 * * [simplify]: Extracting #1: cost 23 inf + 0
8.876 * * [simplify]: Extracting #2: cost 76 inf + 2
8.876 * * [simplify]: Extracting #3: cost 97 inf + 8
8.877 * * [simplify]: Extracting #4: cost 88 inf + 2817
8.878 * * [simplify]: Extracting #5: cost 50 inf + 14443
8.881 * * [simplify]: Extracting #6: cost 18 inf + 26768
8.886 * * [simplify]: Extracting #7: cost 0 inf + 36432
8.895 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
8.895 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
8.895 * * * * [progress]: [ 65 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
8.896 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
8.896 * * [simplify]: iters left: 6 (18 enodes)
8.908 * * [simplify]: iters left: 5 (79 enodes)
8.933 * * [simplify]: iters left: 4 (150 enodes)
8.972 * * [simplify]: iters left: 3 (285 enodes)
9.039 * * [simplify]: Extracting #0: cost 1 inf + 0
9.039 * * [simplify]: Extracting #1: cost 23 inf + 0
9.040 * * [simplify]: Extracting #2: cost 78 inf + 2
9.040 * * [simplify]: Extracting #3: cost 101 inf + 8
9.041 * * [simplify]: Extracting #4: cost 95 inf + 1133
9.045 * * [simplify]: Extracting #5: cost 38 inf + 18588
9.050 * * [simplify]: Extracting #6: cost 2 inf + 37269
9.055 * * [simplify]: Extracting #7: cost 0 inf + 37268
9.059 * * [simplify]: Extracting #8: cost 0 inf + 37228
9.064 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
9.065 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
9.065 * * * * [progress]: [ 66 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
9.065 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
9.065 * * [simplify]: iters left: 6 (10 enodes)
9.069 * * [simplify]: iters left: 5 (44 enodes)
9.079 * * [simplify]: iters left: 4 (62 enodes)
9.090 * * [simplify]: iters left: 3 (90 enodes)
9.105 * * [simplify]: iters left: 2 (112 enodes)
9.127 * * [simplify]: iters left: 1 (124 enodes)
9.139 * * [simplify]: Extracting #0: cost 1 inf + 0
9.139 * * [simplify]: Extracting #1: cost 14 inf + 0
9.139 * * [simplify]: Extracting #2: cost 17 inf + 87
9.139 * * [simplify]: Extracting #3: cost 4 inf + 943
9.140 * * [simplify]: Extracting #4: cost 0 inf + 1271
9.140 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1)
9.140 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma N (fma N 2/9 1/3) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
9.140 * * * * [progress]: [ 67 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
9.141 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
9.141 * * [simplify]: iters left: 6 (16 enodes)
9.152 * * [simplify]: iters left: 5 (73 enodes)
9.183 * * [simplify]: iters left: 4 (144 enodes)
9.222 * * [simplify]: iters left: 3 (279 enodes)
9.288 * * [simplify]: Extracting #0: cost 1 inf + 0
9.288 * * [simplify]: Extracting #1: cost 23 inf + 0
9.288 * * [simplify]: Extracting #2: cost 76 inf + 2
9.289 * * [simplify]: Extracting #3: cost 97 inf + 8
9.290 * * [simplify]: Extracting #4: cost 88 inf + 2817
9.291 * * [simplify]: Extracting #5: cost 50 inf + 14443
9.294 * * [simplify]: Extracting #6: cost 18 inf + 26768
9.302 * * [simplify]: Extracting #7: cost 0 inf + 36432
9.307 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3)))
9.307 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
9.307 * * * * [progress]: [ 68 / 68 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
9.307 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
9.307 * * [simplify]: iters left: 6 (18 enodes)
9.314 * * [simplify]: iters left: 5 (79 enodes)
9.336 * * [simplify]: iters left: 4 (150 enodes)
9.371 * * [simplify]: iters left: 3 (285 enodes)
9.438 * * [simplify]: Extracting #0: cost 1 inf + 0
9.438 * * [simplify]: Extracting #1: cost 23 inf + 0
9.439 * * [simplify]: Extracting #2: cost 78 inf + 2
9.439 * * [simplify]: Extracting #3: cost 101 inf + 8
9.440 * * [simplify]: Extracting #4: cost 95 inf + 1133
9.442 * * [simplify]: Extracting #5: cost 38 inf + 18588
9.451 * * [simplify]: Extracting #6: cost 2 inf + 37269
9.460 * * [simplify]: Extracting #7: cost 0 inf + 37268
9.469 * * [simplify]: Extracting #8: cost 0 inf + 37228
9.474 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3)))
9.474 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
9.475 * * * [progress]: adding candidates to table
10.207 * [progress]: [Phase 3 of 3] Extracting.
10.207 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>)
10.207 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
10.207 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>)
10.239 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>)
10.268 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
10.268 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1))
10.268 * * [simplify]: iters left: 4 (5 enodes)
10.268 * * [simplify]: iters left: 3 (8 enodes)
10.269 * * [simplify]: Extracting #0: cost 1 inf + 0
10.269 * * [simplify]: Extracting #1: cost 3 inf + 0
10.269 * * [simplify]: Extracting #2: cost 4 inf + 1
10.269 * * [simplify]: Extracting #3: cost 0 inf + 378
10.269 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1))
12.686 * [regime-testing]: Baseline error score: 0.3515365230989745
12.689 * [regime-testing]: Oracle error score: 0.3205326476145389
12.694 * [regime-testing]: End program error score: 0.3515365230989745
12.732 * [regime-testing]: Target error score: 0.35391182001108856