0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.064 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.064 * * [simplify]: iters left: 5 (6 enodes) 0.068 * * [simplify]: iters left: 4 (23 enodes) 0.073 * * [simplify]: iters left: 3 (28 enodes) 0.077 * * [simplify]: Extracting #0: cost 1 inf + 0 0.077 * * [simplify]: Extracting #1: cost 5 inf + 0 0.077 * * [simplify]: Extracting #2: cost 10 inf + 0 0.077 * * [simplify]: Extracting #3: cost 11 inf + 1 0.078 * * [simplify]: Extracting #4: cost 6 inf + 298 0.078 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.078 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.078 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.078 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.101 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.101 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [taylor]: Taking taylor expansion of (atan N) in N 0.101 * [backup-simplify]: Simplify (atan N) into (atan N) 0.101 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [taylor]: Taking taylor expansion of (atan N) in N 0.101 * [backup-simplify]: Simplify (atan N) into (atan N) 0.102 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.102 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.102 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.107 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.107 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.107 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.107 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.108 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.108 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.108 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.108 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.108 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.108 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.108 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.108 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [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 (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.114 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.114 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.114 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.114 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.114 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.114 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.114 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.114 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.114 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.114 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.114 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [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 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.120 * * * [progress]: simplifying candidates 0.120 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 0.120 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) 0.120 * * [simplify]: iters left: 6 (12 enodes) 0.127 * * [simplify]: iters left: 5 (48 enodes) 0.142 * * [simplify]: iters left: 4 (70 enodes) 0.166 * * [simplify]: iters left: 3 (92 enodes) 0.204 * * [simplify]: iters left: 2 (133 enodes) 0.242 * * [simplify]: iters left: 1 (224 enodes) 0.311 * * [simplify]: Extracting #0: cost 1 inf + 0 0.312 * * [simplify]: Extracting #1: cost 20 inf + 0 0.312 * * [simplify]: Extracting #2: cost 73 inf + 0 0.312 * * [simplify]: Extracting #3: cost 91 inf + 111 0.313 * * [simplify]: Extracting #4: cost 80 inf + 1802 0.314 * * [simplify]: Extracting #5: cost 31 inf + 28492 0.318 * * [simplify]: Extracting #6: cost 2 inf + 46521 0.321 * * [simplify]: Extracting #7: cost 0 inf + 48267 0.325 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.325 * [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))))))) 0.325 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) 0.325 * * [simplify]: iters left: 6 (7 enodes) 0.327 * * [simplify]: iters left: 5 (26 enodes) 0.332 * * [simplify]: iters left: 4 (42 enodes) 0.341 * * [simplify]: iters left: 3 (83 enodes) 0.358 * * [simplify]: iters left: 2 (133 enodes) 0.381 * * [simplify]: iters left: 1 (202 enodes) 0.443 * * [simplify]: Extracting #0: cost 1 inf + 0 0.443 * * [simplify]: Extracting #1: cost 0 inf + 1 0.443 * [simplify]: Simplified to 0 0.443 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 0.444 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 0.444 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) 0.444 * * [simplify]: iters left: 6 (11 enodes) 0.449 * * [simplify]: iters left: 5 (39 enodes) 0.462 * * [simplify]: iters left: 4 (49 enodes) 0.477 * * [simplify]: iters left: 3 (54 enodes) 0.492 * * [simplify]: iters left: 2 (61 enodes) 0.514 * * [simplify]: iters left: 1 (78 enodes) 0.533 * * [simplify]: Extracting #0: cost 1 inf + 0 0.533 * * [simplify]: Extracting #1: cost 12 inf + 0 0.533 * * [simplify]: Extracting #2: cost 28 inf + 0 0.533 * * [simplify]: Extracting #3: cost 27 inf + 401 0.533 * * [simplify]: Extracting #4: cost 22 inf + 987 0.533 * * [simplify]: Extracting #5: cost 12 inf + 2711 0.534 * * [simplify]: Extracting #6: cost 4 inf + 5977 0.535 * * [simplify]: Extracting #7: cost 1 inf + 7661 0.536 * * [simplify]: Extracting #8: cost 0 inf + 8284 0.536 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.536 * [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)))))) 0.537 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) 0.537 * * [simplify]: iters left: 5 (6 enodes) 0.538 * * [simplify]: iters left: 4 (18 enodes) 0.541 * * [simplify]: iters left: 3 (26 enodes) 0.544 * * [simplify]: iters left: 2 (34 enodes) 0.549 * * [simplify]: iters left: 1 (36 enodes) 0.553 * * [simplify]: Extracting #0: cost 1 inf + 0 0.553 * * [simplify]: Extracting #1: cost 0 inf + 1 0.553 * [simplify]: Simplified to 0 0.553 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 0.553 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 0.553 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) 0.553 * * [simplify]: iters left: 6 (10 enodes) 0.556 * * [simplify]: iters left: 5 (39 enodes) 0.563 * * [simplify]: iters left: 4 (52 enodes) 0.572 * * [simplify]: iters left: 3 (63 enodes) 0.581 * * [simplify]: iters left: 2 (70 enodes) 0.591 * * [simplify]: iters left: 1 (84 enodes) 0.612 * * [simplify]: Extracting #0: cost 1 inf + 0 0.612 * * [simplify]: Extracting #1: cost 9 inf + 0 0.613 * * [simplify]: Extracting #2: cost 17 inf + 2 0.613 * * [simplify]: Extracting #3: cost 19 inf + 4 0.613 * * [simplify]: Extracting #4: cost 14 inf + 887 0.614 * * [simplify]: Extracting #5: cost 7 inf + 2842 0.615 * * [simplify]: Extracting #6: cost 1 inf + 4691 0.616 * * [simplify]: Extracting #7: cost 0 inf + 5129 0.617 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.618 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) 0.618 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) 0.618 * * [simplify]: iters left: 4 (6 enodes) 0.621 * * [simplify]: iters left: 3 (21 enodes) 0.629 * * [simplify]: iters left: 2 (31 enodes) 0.639 * * [simplify]: iters left: 1 (35 enodes) 0.649 * * [simplify]: Extracting #0: cost 1 inf + 0 0.649 * * [simplify]: Extracting #1: cost 7 inf + 0 0.649 * * [simplify]: Extracting #2: cost 7 inf + 3 0.649 * * [simplify]: Extracting #3: cost 2 inf + 510 0.649 * * [simplify]: Extracting #4: cost 0 inf + 802 0.649 * [simplify]: Simplified to (* (atan N) 0) 0.649 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (atan N) 0))) 0.649 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 0.649 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) 0.650 * * [simplify]: iters left: 6 (11 enodes) 0.652 * * [simplify]: iters left: 5 (45 enodes) 0.661 * * [simplify]: iters left: 4 (63 enodes) 0.671 * * [simplify]: iters left: 3 (83 enodes) 0.687 * * [simplify]: iters left: 2 (129 enodes) 0.721 * * [simplify]: iters left: 1 (221 enodes) 0.807 * * [simplify]: Extracting #0: cost 1 inf + 0 0.807 * * [simplify]: Extracting #1: cost 22 inf + 0 0.807 * * [simplify]: Extracting #2: cost 93 inf + 0 0.808 * * [simplify]: Extracting #3: cost 108 inf + 257 0.808 * * [simplify]: Extracting #4: cost 99 inf + 1300 0.810 * * [simplify]: Extracting #5: cost 57 inf + 22253 0.814 * * [simplify]: Extracting #6: cost 5 inf + 60513 0.820 * * [simplify]: Extracting #7: cost 0 inf + 64154 0.827 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.827 * [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))))))) 0.828 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) 0.828 * * [simplify]: iters left: 6 (7 enodes) 0.829 * * [simplify]: iters left: 5 (26 enodes) 0.834 * * [simplify]: iters left: 4 (42 enodes) 0.849 * * [simplify]: iters left: 3 (83 enodes) 0.879 * * [simplify]: iters left: 2 (133 enodes) 0.900 * * [simplify]: iters left: 1 (202 enodes) 0.948 * * [simplify]: Extracting #0: cost 1 inf + 0 0.948 * * [simplify]: Extracting #1: cost 0 inf + 1 0.948 * [simplify]: Simplified to 0 0.948 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 0.948 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 0.948 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) 0.948 * * [simplify]: iters left: 6 (10 enodes) 0.951 * * [simplify]: iters left: 5 (36 enodes) 0.956 * * [simplify]: iters left: 4 (42 enodes) 0.962 * * [simplify]: iters left: 3 (46 enodes) 0.970 * * [simplify]: iters left: 2 (54 enodes) 0.978 * * [simplify]: iters left: 1 (71 enodes) 0.989 * * [simplify]: Extracting #0: cost 1 inf + 0 0.989 * * [simplify]: Extracting #1: cost 14 inf + 0 0.989 * * [simplify]: Extracting #2: cost 34 inf + 0 0.990 * * [simplify]: Extracting #3: cost 35 inf + 1 0.990 * * [simplify]: Extracting #4: cost 31 inf + 400 0.990 * * [simplify]: Extracting #5: cost 17 inf + 3183 0.991 * * [simplify]: Extracting #6: cost 3 inf + 8526 0.993 * * [simplify]: Extracting #7: cost 0 inf + 9762 0.994 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.994 * [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)))))) 0.994 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) 0.994 * * [simplify]: iters left: 5 (6 enodes) 0.996 * * [simplify]: iters left: 4 (18 enodes) 1.001 * * [simplify]: iters left: 3 (26 enodes) 1.008 * * [simplify]: iters left: 2 (34 enodes) 1.021 * * [simplify]: iters left: 1 (36 enodes) 1.029 * * [simplify]: Extracting #0: cost 1 inf + 0 1.029 * * [simplify]: Extracting #1: cost 0 inf + 1 1.029 * [simplify]: Simplified to 0 1.029 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 1.029 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 1.029 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) 1.029 * * [simplify]: iters left: 6 (9 enodes) 1.034 * * [simplify]: iters left: 5 (36 enodes) 1.046 * * [simplify]: iters left: 4 (45 enodes) 1.059 * * [simplify]: iters left: 3 (50 enodes) 1.071 * * [simplify]: Extracting #0: cost 1 inf + 0 1.071 * * [simplify]: Extracting #1: cost 6 inf + 0 1.071 * * [simplify]: Extracting #2: cost 14 inf + 0 1.072 * * [simplify]: Extracting #3: cost 12 inf + 3 1.072 * * [simplify]: Extracting #4: cost 6 inf + 592 1.072 * * [simplify]: Extracting #5: cost 0 inf + 1843 1.072 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.072 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) 1.072 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) 1.072 * * [simplify]: iters left: 4 (6 enodes) 1.074 * * [simplify]: iters left: 3 (21 enodes) 1.078 * * [simplify]: iters left: 2 (31 enodes) 1.083 * * [simplify]: iters left: 1 (35 enodes) 1.088 * * [simplify]: Extracting #0: cost 1 inf + 0 1.088 * * [simplify]: Extracting #1: cost 7 inf + 0 1.088 * * [simplify]: Extracting #2: cost 7 inf + 3 1.089 * * [simplify]: Extracting #3: cost 2 inf + 510 1.089 * * [simplify]: Extracting #4: cost 0 inf + 802 1.089 * [simplify]: Simplified to (* (atan N) 0) 1.089 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (atan N) 0))) 1.089 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 1.089 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) 1.089 * * [simplify]: iters left: 6 (10 enodes) 1.092 * * [simplify]: iters left: 5 (42 enodes) 1.099 * * [simplify]: iters left: 4 (61 enodes) 1.110 * * [simplify]: iters left: 3 (81 enodes) 1.125 * * [simplify]: iters left: 2 (121 enodes) 1.152 * * [simplify]: iters left: 1 (204 enodes) 1.199 * * [simplify]: Extracting #0: cost 1 inf + 0 1.199 * * [simplify]: Extracting #1: cost 14 inf + 0 1.199 * * [simplify]: Extracting #2: cost 52 inf + 1 1.200 * * [simplify]: Extracting #3: cost 74 inf + 6 1.201 * * [simplify]: Extracting #4: cost 65 inf + 1076 1.202 * * [simplify]: Extracting #5: cost 47 inf + 8292 1.207 * * [simplify]: Extracting #6: cost 8 inf + 31632 1.216 * * [simplify]: Extracting #7: cost 0 inf + 37569 1.219 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N)) 1.219 * [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))))))) 1.219 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) 1.219 * * [simplify]: iters left: 6 (7 enodes) 1.221 * * [simplify]: iters left: 5 (26 enodes) 1.226 * * [simplify]: iters left: 4 (42 enodes) 1.234 * * [simplify]: iters left: 3 (83 enodes) 1.249 * * [simplify]: iters left: 2 (133 enodes) 1.288 * * [simplify]: iters left: 1 (202 enodes) 1.359 * * [simplify]: Extracting #0: cost 1 inf + 0 1.359 * * [simplify]: Extracting #1: cost 0 inf + 1 1.359 * [simplify]: Simplified to 0 1.359 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) 1.359 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 1.360 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) 1.360 * * [simplify]: iters left: 6 (9 enodes) 1.364 * * [simplify]: iters left: 5 (33 enodes) 1.375 * * [simplify]: iters left: 4 (40 enodes) 1.387 * * [simplify]: iters left: 3 (44 enodes) 1.397 * * [simplify]: iters left: 2 (45 enodes) 1.402 * * [simplify]: iters left: 1 (47 enodes) 1.408 * * [simplify]: Extracting #0: cost 1 inf + 0 1.408 * * [simplify]: Extracting #1: cost 8 inf + 0 1.408 * * [simplify]: Extracting #2: cost 14 inf + 1 1.408 * * [simplify]: Extracting #3: cost 14 inf + 2 1.409 * * [simplify]: Extracting #4: cost 2 inf + 1548 1.409 * * [simplify]: Extracting #5: cost 0 inf + 2132 1.409 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N)) 1.409 * [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)))))) 1.409 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) 1.409 * * [simplify]: iters left: 5 (6 enodes) 1.411 * * [simplify]: iters left: 4 (18 enodes) 1.413 * * [simplify]: iters left: 3 (26 enodes) 1.418 * * [simplify]: iters left: 2 (34 enodes) 1.427 * * [simplify]: iters left: 1 (36 enodes) 1.435 * * [simplify]: Extracting #0: cost 1 inf + 0 1.435 * * [simplify]: Extracting #1: cost 0 inf + 1 1.435 * [simplify]: Simplified to 0 1.435 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) 1.435 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 1.435 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) 1.436 * * [simplify]: iters left: 6 (8 enodes) 1.440 * * [simplify]: iters left: 5 (33 enodes) 1.454 * * [simplify]: iters left: 4 (43 enodes) 1.467 * * [simplify]: iters left: 3 (49 enodes) 1.479 * * [simplify]: iters left: 2 (51 enodes) 1.486 * * [simplify]: iters left: 1 (55 enodes) 1.492 * * [simplify]: Extracting #0: cost 1 inf + 0 1.492 * * [simplify]: Extracting #1: cost 7 inf + 0 1.492 * * [simplify]: Extracting #2: cost 10 inf + 2 1.492 * * [simplify]: Extracting #3: cost 10 inf + 3 1.492 * * [simplify]: Extracting #4: cost 2 inf + 1177 1.492 * * [simplify]: Extracting #5: cost 0 inf + 1469 1.493 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N)) 1.493 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) 1.493 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) 1.493 * * [simplify]: iters left: 4 (6 enodes) 1.495 * * [simplify]: iters left: 3 (21 enodes) 1.499 * * [simplify]: iters left: 2 (31 enodes) 1.504 * * [simplify]: iters left: 1 (35 enodes) 1.510 * * [simplify]: Extracting #0: cost 1 inf + 0 1.510 * * [simplify]: Extracting #1: cost 7 inf + 0 1.510 * * [simplify]: Extracting #2: cost 7 inf + 3 1.510 * * [simplify]: Extracting #3: cost 2 inf + 510 1.510 * * [simplify]: Extracting #4: cost 0 inf + 802 1.511 * [simplify]: Simplified to (* (atan N) 0) 1.511 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (* (atan N) 0))) 1.511 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 1.511 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 1.511 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 1.511 * [simplify]: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) 1.511 * * [simplify]: iters left: 6 (6 enodes) 1.515 * * [simplify]: iters left: 5 (21 enodes) 1.521 * * [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 / 33 ] simplifiying candidate # 1.529 * [simplify]: Simplifying (sqrt (atan (+ N 1))) 1.529 * * [simplify]: iters left: 4 (5 enodes) 1.532 * * [simplify]: iters left: 3 (18 enodes) 1.538 * * [simplify]: iters left: 2 (20 enodes) 1.543 * * [simplify]: Extracting #0: cost 1 inf + 0 1.543 * * [simplify]: Extracting #1: cost 3 inf + 0 1.544 * * [simplify]: Extracting #2: cost 5 inf + 0 1.544 * * [simplify]: Extracting #3: cost 8 inf + 0 1.544 * * [simplify]: Extracting #4: cost 6 inf + 2 1.544 * * [simplify]: Extracting #5: cost 0 inf + 754 1.544 * [simplify]: Simplified to (sqrt (atan (+ 1 N))) 1.544 * [simplify]: Simplified (2 1) to (λ (N) (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ N 1))) (- (atan N)))) 1.544 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 1.544 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 1.545 * [simplify]: Simplifying (- (+ N 1) N) 1.545 * * [simplify]: iters left: 4 (4 enodes) 1.547 * * [simplify]: iters left: 3 (19 enodes) 1.554 * * [simplify]: iters left: 2 (33 enodes) 1.565 * * [simplify]: iters left: 1 (39 enodes) 1.574 * * [simplify]: Extracting #0: cost 1 inf + 0 1.574 * * [simplify]: Extracting #1: cost 0 inf + 1 1.574 * [simplify]: Simplified to 1 1.574 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1.574 * [simplify]: Simplifying (+ 1 (* (+ N 1) N)) 1.574 * * [simplify]: iters left: 6 (5 enodes) 1.577 * * [simplify]: iters left: 5 (20 enodes) 1.583 * * [simplify]: iters left: 4 (31 enodes) 1.588 * * [simplify]: iters left: 3 (37 enodes) 1.592 * * [simplify]: Extracting #0: cost 1 inf + 0 1.592 * * [simplify]: Extracting #1: cost 6 inf + 0 1.592 * * [simplify]: Extracting #2: cost 6 inf + 58 1.592 * * [simplify]: Extracting #3: cost 1 inf + 433 1.592 * * [simplify]: Extracting #4: cost 0 inf + 474 1.592 * [simplify]: Simplified to (fma N (+ N 1) 1) 1.592 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 1.593 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 1.593 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1.593 * * [simplify]: iters left: 6 (8 enodes) 1.595 * * [simplify]: iters left: 5 (29 enodes) 1.599 * * [simplify]: iters left: 4 (35 enodes) 1.608 * * [simplify]: iters left: 3 (40 enodes) 1.620 * * [simplify]: iters left: 2 (44 enodes) 1.632 * * [simplify]: iters left: 1 (48 enodes) 1.646 * * [simplify]: Extracting #0: cost 1 inf + 0 1.647 * * [simplify]: Extracting #1: cost 9 inf + 0 1.647 * * [simplify]: Extracting #2: cost 15 inf + 1 1.647 * * [simplify]: Extracting #3: cost 20 inf + 1 1.647 * * [simplify]: Extracting #4: cost 20 inf + 2 1.647 * * [simplify]: Extracting #5: cost 16 inf + 339 1.648 * * [simplify]: Extracting #6: cost 0 inf + 4059 1.649 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1.649 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1.649 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 1.649 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 1.650 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1.650 * * [simplify]: iters left: 6 (8 enodes) 1.653 * * [simplify]: iters left: 5 (28 enodes) 1.661 * * [simplify]: iters left: 4 (30 enodes) 1.670 * * [simplify]: Extracting #0: cost 1 inf + 0 1.670 * * [simplify]: Extracting #1: cost 4 inf + 0 1.670 * * [simplify]: Extracting #2: cost 8 inf + 0 1.670 * * [simplify]: Extracting #3: cost 12 inf + 0 1.670 * * [simplify]: Extracting #4: cost 10 inf + 359 1.670 * * [simplify]: Extracting #5: cost 8 inf + 506 1.670 * * [simplify]: Extracting #6: cost 5 inf + 737 1.671 * * [simplify]: Extracting #7: cost 1 inf + 1630 1.671 * * [simplify]: Extracting #8: cost 0 inf + 2002 1.672 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1.672 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1.672 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1.672 * * [simplify]: iters left: 6 (8 enodes) 1.676 * * [simplify]: iters left: 5 (29 enodes) 1.685 * * [simplify]: iters left: 4 (34 enodes) 1.695 * * [simplify]: Extracting #0: cost 1 inf + 0 1.695 * * [simplify]: Extracting #1: cost 5 inf + 0 1.695 * * [simplify]: Extracting #2: cost 10 inf + 0 1.695 * * [simplify]: Extracting #3: cost 14 inf + 0 1.695 * * [simplify]: Extracting #4: cost 15 inf + 1 1.695 * * [simplify]: Extracting #5: cost 13 inf + 108 1.695 * * [simplify]: Extracting #6: cost 5 inf + 1109 1.696 * * [simplify]: Extracting #7: cost 0 inf + 2374 1.696 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1.696 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1.696 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 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) 1.701 * * [simplify]: iters left: 3 (28 enodes) 1.707 * * [simplify]: Extracting #0: cost 1 inf + 0 1.707 * * [simplify]: Extracting #1: cost 5 inf + 0 1.707 * * [simplify]: Extracting #2: cost 10 inf + 0 1.707 * * [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 1.708 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.708 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.708 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1.708 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 1.708 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 1.708 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 1.708 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.708 * * [simplify]: iters left: 5 (6 enodes) 1.710 * * [simplify]: iters left: 4 (23 enodes) 1.714 * * [simplify]: iters left: 3 (28 enodes) 1.718 * * [simplify]: Extracting #0: cost 1 inf + 0 1.718 * * [simplify]: Extracting #1: cost 5 inf + 0 1.718 * * [simplify]: Extracting #2: cost 10 inf + 0 1.718 * * [simplify]: Extracting #3: cost 11 inf + 1 1.719 * * [simplify]: Extracting #4: cost 6 inf + 298 1.719 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.719 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.719 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.719 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.719 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 1.719 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.719 * * [simplify]: iters left: 5 (6 enodes) 1.721 * * [simplify]: iters left: 4 (23 enodes) 1.725 * * [simplify]: iters left: 3 (28 enodes) 1.730 * * [simplify]: Extracting #0: cost 1 inf + 0 1.730 * * [simplify]: Extracting #1: cost 5 inf + 0 1.730 * * [simplify]: Extracting #2: cost 10 inf + 0 1.730 * * [simplify]: Extracting #3: cost 11 inf + 1 1.730 * * [simplify]: Extracting #4: cost 6 inf + 298 1.730 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.730 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.731 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.731 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.731 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 1.731 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.731 * * [simplify]: iters left: 5 (6 enodes) 1.733 * * [simplify]: iters left: 4 (23 enodes) 1.736 * * [simplify]: iters left: 3 (28 enodes) 1.740 * * [simplify]: Extracting #0: cost 1 inf + 0 1.740 * * [simplify]: Extracting #1: cost 5 inf + 0 1.740 * * [simplify]: Extracting #2: cost 10 inf + 0 1.740 * * [simplify]: Extracting #3: cost 11 inf + 1 1.741 * * [simplify]: Extracting #4: cost 6 inf + 298 1.741 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.741 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.741 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.741 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.741 * * * [progress]: adding candidates to table 2.026 * * [progress]: iteration 2 / 4 2.026 * * * [progress]: picking best candidate 2.028 * * * * [pick]: Picked # 2.028 * * * [progress]: localizing error 2.038 * * * [progress]: generating rewritten candidates 2.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.039 * * * [progress]: generating series expansions 2.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.039 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.039 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 2.039 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.039 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.039 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.039 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.040 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.040 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.040 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 2.040 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.040 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.040 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.040 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.041 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.041 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.041 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 2.041 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.041 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.041 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.041 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.042 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.042 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.042 * [backup-simplify]: Simplify (fma N (+ N 1) 1) into (fma N (+ N 1) 1) 2.042 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0 2.042 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.042 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.042 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.042 * [taylor]: Taking taylor expansion of N in N 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of 1 in N 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of 1 in N 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.043 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.043 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of 1 in N 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of 1 in N 2.043 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (+ 0 1) into 1 2.044 * [backup-simplify]: Simplify (* 0 1) into 0 2.045 * [backup-simplify]: Simplify (+ 0 1) into 1 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (+ 1 0) into 1 2.046 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.046 * [backup-simplify]: Simplify (+ 1 0) into 1 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.049 * [backup-simplify]: Simplify (+ 1 0) into 1 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 2.049 * [backup-simplify]: Simplify (fma (/ 1 N) (+ (/ 1 N) 1) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2.049 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0 2.049 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.049 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.049 * [taylor]: Taking taylor expansion of N in N 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.050 * [taylor]: Taking taylor expansion of N in N 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [taylor]: Taking taylor expansion of 1 in N 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of 1 in N 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.051 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.051 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.051 * [taylor]: Taking taylor expansion of N in N 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ 1 1) into 1 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.051 * [taylor]: Taking taylor expansion of N in N 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [taylor]: Taking taylor expansion of 1 in N 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [taylor]: Taking taylor expansion of 1 in N 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (+ 1 0) into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (+ 1 0) into 1 2.053 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 1) into 1 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 2.056 * [backup-simplify]: Simplify (+ 1 0) into 1 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 1) into 1 2.059 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 2.060 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2.060 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0 2.060 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.060 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.060 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.060 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.060 * [taylor]: Taking taylor expansion of -1 in N 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of N in N 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ -1 1) into -1 2.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.061 * [taylor]: Taking taylor expansion of 1 in N 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.061 * [taylor]: Taking taylor expansion of N in N 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [taylor]: Taking taylor expansion of 1 in N 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.061 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.061 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.061 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.061 * [taylor]: Taking taylor expansion of -1 in N 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of N in N 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ -1 1) into -1 2.062 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.062 * [taylor]: Taking taylor expansion of 1 in N 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [taylor]: Taking taylor expansion of 1 in N 2.062 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (- 1) into -1 2.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.064 * [backup-simplify]: Simplify (* -1 -1) into 1 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.068 * [backup-simplify]: Simplify (+ -1 0) into -1 2.068 * [backup-simplify]: Simplify -1 into -1 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.072 * [backup-simplify]: Simplify (+ 0 1) into 1 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 2.072 * * * [progress]: simplifying candidates 2.072 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 2.072 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 2.072 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 2.072 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))> 2.073 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 2.073 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #real (real->posit16 (fma N (+ N 1) 1)))))> 2.073 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 2.074 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.074 * * [simplify]: iters left: 4 (5 enodes) 2.081 * * [simplify]: iters left: 3 (20 enodes) 2.088 * * [simplify]: iters left: 2 (33 enodes) 2.099 * * [simplify]: iters left: 1 (40 enodes) 2.109 * * [simplify]: Extracting #0: cost 1 inf + 0 2.109 * * [simplify]: Extracting #1: cost 4 inf + 0 2.109 * * [simplify]: Extracting #2: cost 7 inf + 1 2.109 * * [simplify]: Extracting #3: cost 3 inf + 768 2.109 * * [simplify]: Extracting #4: cost 1 inf + 907 2.110 * * [simplify]: Extracting #5: cost 0 inf + 948 2.110 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.110 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 2.110 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 2.110 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.110 * * [simplify]: iters left: 4 (5 enodes) 2.113 * * [simplify]: iters left: 3 (20 enodes) 2.120 * * [simplify]: iters left: 2 (33 enodes) 2.130 * * [simplify]: iters left: 1 (40 enodes) 2.140 * * [simplify]: Extracting #0: cost 1 inf + 0 2.140 * * [simplify]: Extracting #1: cost 4 inf + 0 2.140 * * [simplify]: Extracting #2: cost 7 inf + 1 2.140 * * [simplify]: Extracting #3: cost 3 inf + 768 2.140 * * [simplify]: Extracting #4: cost 1 inf + 907 2.141 * * [simplify]: Extracting #5: cost 0 inf + 948 2.141 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.141 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 2.141 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 2.141 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.142 * * [simplify]: iters left: 4 (5 enodes) 2.144 * * [simplify]: iters left: 3 (20 enodes) 2.147 * * [simplify]: iters left: 2 (33 enodes) 2.153 * * [simplify]: iters left: 1 (40 enodes) 2.158 * * [simplify]: Extracting #0: cost 1 inf + 0 2.158 * * [simplify]: Extracting #1: cost 4 inf + 0 2.158 * * [simplify]: Extracting #2: cost 7 inf + 1 2.158 * * [simplify]: Extracting #3: cost 3 inf + 768 2.158 * * [simplify]: Extracting #4: cost 1 inf + 907 2.158 * * [simplify]: Extracting #5: cost 0 inf + 948 2.158 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.158 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 2.158 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 2.159 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 2.159 * * [simplify]: iters left: 5 (6 enodes) 2.161 * * [simplify]: iters left: 4 (28 enodes) 2.166 * * [simplify]: iters left: 3 (41 enodes) 2.172 * * [simplify]: iters left: 2 (50 enodes) 2.184 * * [simplify]: iters left: 1 (57 enodes) 2.200 * * [simplify]: Extracting #0: cost 1 inf + 0 2.200 * * [simplify]: Extracting #1: cost 8 inf + 0 2.200 * * [simplify]: Extracting #2: cost 11 inf + 2 2.200 * * [simplify]: Extracting #3: cost 0 inf + 589 2.201 * [simplify]: Simplified to (fma N N (+ 1 N)) 2.201 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N N (+ 1 N)))) 2.201 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 2.201 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 2.201 * * [simplify]: iters left: 5 (6 enodes) 2.206 * * [simplify]: iters left: 4 (28 enodes) 2.218 * * [simplify]: iters left: 3 (41 enodes) 2.229 * * [simplify]: iters left: 2 (50 enodes) 2.242 * * [simplify]: iters left: 1 (57 enodes) 2.250 * * [simplify]: Extracting #0: cost 1 inf + 0 2.250 * * [simplify]: Extracting #1: cost 8 inf + 0 2.250 * * [simplify]: Extracting #2: cost 11 inf + 2 2.250 * * [simplify]: Extracting #3: cost 0 inf + 589 2.250 * [simplify]: Simplified to (fma N N (+ 1 N)) 2.250 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N N (+ 1 N)))) 2.251 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 2.251 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 2.251 * * [simplify]: iters left: 5 (6 enodes) 2.253 * * [simplify]: iters left: 4 (28 enodes) 2.257 * * [simplify]: iters left: 3 (41 enodes) 2.263 * * [simplify]: iters left: 2 (50 enodes) 2.270 * * [simplify]: iters left: 1 (57 enodes) 2.279 * * [simplify]: Extracting #0: cost 1 inf + 0 2.279 * * [simplify]: Extracting #1: cost 8 inf + 0 2.279 * * [simplify]: Extracting #2: cost 11 inf + 2 2.280 * * [simplify]: Extracting #3: cost 0 inf + 589 2.280 * [simplify]: Simplified to (fma N N (+ 1 N)) 2.280 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N N (+ 1 N)))) 2.280 * * * [progress]: adding candidates to table 2.530 * * [progress]: iteration 3 / 4 2.531 * * * [progress]: picking best candidate 2.538 * * * * [pick]: Picked # 2.538 * * * [progress]: localizing error 2.557 * * * [progress]: generating rewritten candidates 2.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.558 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.559 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.560 * * * [progress]: generating series expansions 2.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.561 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 2.561 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 2.561 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 2.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 2.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 2.561 * [taylor]: Taking taylor expansion of 1/3 in N 2.561 * [backup-simplify]: Simplify 1/3 into 1/3 2.561 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 2.561 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.561 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.561 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.561 * [taylor]: Taking taylor expansion of N in N 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.561 * [taylor]: Taking taylor expansion of N in N 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of 1 in N 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of 1 in N 2.561 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (+ 0 1) into 1 2.562 * [backup-simplify]: Simplify (* 0 1) into 0 2.562 * [backup-simplify]: Simplify (+ 0 1) into 1 2.562 * [backup-simplify]: Simplify (log 1) into 0 2.563 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.563 * [backup-simplify]: Simplify (+ 1 0) into 1 2.563 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.564 * [backup-simplify]: Simplify (+ 1 0) into 1 2.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.565 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.565 * [backup-simplify]: Simplify (exp 0) into 1 2.565 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 2.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 2.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 2.565 * [taylor]: Taking taylor expansion of 1/3 in N 2.565 * [backup-simplify]: Simplify 1/3 into 1/3 2.565 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 2.565 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.565 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.565 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.565 * [taylor]: Taking taylor expansion of N in N 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.565 * [taylor]: Taking taylor expansion of N in N 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [taylor]: Taking taylor expansion of 1 in N 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [taylor]: Taking taylor expansion of 1 in N 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (+ 0 1) into 1 2.566 * [backup-simplify]: Simplify (* 0 1) into 0 2.566 * [backup-simplify]: Simplify (+ 0 1) into 1 2.566 * [backup-simplify]: Simplify (log 1) into 0 2.566 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.567 * [backup-simplify]: Simplify (+ 1 0) into 1 2.567 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.567 * [backup-simplify]: Simplify (+ 1 0) into 1 2.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.568 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.568 * [backup-simplify]: Simplify (exp 0) into 1 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.569 * [backup-simplify]: Simplify 1/3 into 1/3 2.570 * [backup-simplify]: Simplify (+ 0 0) into 0 2.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.570 * [backup-simplify]: Simplify (+ 1 0) into 1 2.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.573 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 2.575 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 2.575 * [backup-simplify]: Simplify 2/9 into 2/9 2.575 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 2.575 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 2.575 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 2.575 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 2.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 2.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.575 * [taylor]: Taking taylor expansion of 1/3 in N 2.575 * [backup-simplify]: Simplify 1/3 into 1/3 2.576 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.576 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.576 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.576 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.576 * [taylor]: Taking taylor expansion of N in N 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (/ 1 1) into 1 2.576 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.576 * [taylor]: Taking taylor expansion of N in N 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (/ 1 1) into 1 2.577 * [taylor]: Taking taylor expansion of 1 in N 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [taylor]: Taking taylor expansion of 1 in N 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (+ 1 0) into 1 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (+ 1 0) into 1 2.578 * [backup-simplify]: Simplify (log 1) into 0 2.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.579 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.579 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.579 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 2.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 2.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.579 * [taylor]: Taking taylor expansion of 1/3 in N 2.579 * [backup-simplify]: Simplify 1/3 into 1/3 2.579 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.579 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.579 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.579 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.579 * [taylor]: Taking taylor expansion of N in N 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ 1 1) into 1 2.580 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.580 * [taylor]: Taking taylor expansion of N in N 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ 1 1) into 1 2.580 * [taylor]: Taking taylor expansion of 1 in N 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [taylor]: Taking taylor expansion of 1 in N 2.580 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (+ 1 0) into 1 2.581 * [backup-simplify]: Simplify (* 1 1) into 1 2.581 * [backup-simplify]: Simplify (+ 1 0) into 1 2.582 * [backup-simplify]: Simplify (log 1) into 0 2.582 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.582 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.582 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.582 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (+ 0 1) into 1 2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 2.591 * [backup-simplify]: Simplify (+ 1 0) into 1 2.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.592 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.593 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 2.594 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.594 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (+ 0 0) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 2.597 * [backup-simplify]: Simplify (+ 0 1) into 1 2.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.601 * [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 2.603 * [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)) 2.603 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 2.604 * [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)))) 2.604 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 2.604 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 2.604 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 2.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 2.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.604 * [taylor]: Taking taylor expansion of 1/3 in N 2.604 * [backup-simplify]: Simplify 1/3 into 1/3 2.605 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.605 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.605 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.605 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.605 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.605 * [taylor]: Taking taylor expansion of -1 in N 2.605 * [backup-simplify]: Simplify -1 into -1 2.605 * [taylor]: Taking taylor expansion of N in N 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (/ -1 1) into -1 2.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.605 * [taylor]: Taking taylor expansion of 1 in N 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.605 * [taylor]: Taking taylor expansion of N in N 2.605 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [taylor]: Taking taylor expansion of 1 in N 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (- 1) into -1 2.607 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.607 * [backup-simplify]: Simplify (* -1 -1) into 1 2.608 * [backup-simplify]: Simplify (+ 1 0) into 1 2.608 * [backup-simplify]: Simplify (log 1) into 0 2.608 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.608 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.609 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.609 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 2.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 2.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.609 * [taylor]: Taking taylor expansion of 1/3 in N 2.609 * [backup-simplify]: Simplify 1/3 into 1/3 2.609 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.609 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.609 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.609 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.609 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.609 * [taylor]: Taking taylor expansion of -1 in N 2.609 * [backup-simplify]: Simplify -1 into -1 2.609 * [taylor]: Taking taylor expansion of N in N 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ -1 1) into -1 2.610 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.610 * [taylor]: Taking taylor expansion of 1 in N 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.610 * [taylor]: Taking taylor expansion of N in N 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.610 * [taylor]: Taking taylor expansion of 1 in N 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (- 1) into -1 2.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.611 * [backup-simplify]: Simplify (* -1 -1) into 1 2.612 * [backup-simplify]: Simplify (+ 1 0) into 1 2.612 * [backup-simplify]: Simplify (log 1) into 0 2.613 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.613 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.613 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.613 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (- 0) into 0 2.615 * [backup-simplify]: Simplify (+ 1 0) into 1 2.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.617 * [backup-simplify]: Simplify (+ -1 0) into -1 2.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.618 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.619 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 2.620 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.620 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify (- 0) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.624 * [backup-simplify]: Simplify (+ 0 1) 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 2.627 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.629 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 2.630 * [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)) 2.631 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 2.631 * [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)))) 2.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.632 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 2.632 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 2.632 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 2.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 2.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 2.632 * [taylor]: Taking taylor expansion of 1/3 in N 2.632 * [backup-simplify]: Simplify 1/3 into 1/3 2.632 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 2.632 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.632 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.632 * [taylor]: Taking taylor expansion of (* N (+ N 1)) 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 * [taylor]: Taking taylor expansion of (+ N 1) 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 * [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 (+ 0 1) into 1 2.633 * [backup-simplify]: Simplify (* 0 1) into 0 2.634 * [backup-simplify]: Simplify (+ 0 1) into 1 2.634 * [backup-simplify]: Simplify (log 1) into 0 2.635 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.635 * [backup-simplify]: Simplify (+ 1 0) into 1 2.636 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.636 * [backup-simplify]: Simplify (+ 1 0) into 1 2.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.638 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.638 * [backup-simplify]: Simplify (exp 0) into 1 2.638 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 2.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 2.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 2.639 * [taylor]: Taking taylor expansion of 1/3 in N 2.639 * [backup-simplify]: Simplify 1/3 into 1/3 2.639 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 2.639 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.639 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.639 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.639 * [taylor]: Taking taylor expansion of N in N 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.639 * [taylor]: Taking taylor expansion of N in N 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [taylor]: Taking taylor expansion of 1 in N 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [taylor]: Taking taylor expansion of 1 in N 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [backup-simplify]: Simplify (+ 0 1) into 1 2.640 * [backup-simplify]: Simplify (* 0 1) into 0 2.640 * [backup-simplify]: Simplify (+ 0 1) into 1 2.641 * [backup-simplify]: Simplify (log 1) into 0 2.641 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.642 * [backup-simplify]: Simplify (+ 1 0) into 1 2.642 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.643 * [backup-simplify]: Simplify (+ 1 0) into 1 2.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.645 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.645 * [backup-simplify]: Simplify (exp 0) into 1 2.645 * [backup-simplify]: Simplify 1 into 1 2.646 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.646 * [backup-simplify]: Simplify 1/3 into 1/3 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.648 * [backup-simplify]: Simplify (+ 1 0) into 1 2.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.652 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 2.654 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 2.654 * [backup-simplify]: Simplify 2/9 into 2/9 2.654 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 2.654 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 2.654 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 2.654 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 2.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 2.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) 1) 1)) in N 2.655 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.655 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.655 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 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 N) 1) in N 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 2.656 * [backup-simplify]: Simplify (/ 1 1) into 1 2.656 * [taylor]: Taking taylor expansion of 1 in N 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [taylor]: Taking taylor expansion of 1 in N 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (+ 1 0) into 1 2.657 * [backup-simplify]: Simplify (* 1 1) into 1 2.657 * [backup-simplify]: Simplify (+ 1 0) into 1 2.657 * [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) 2.658 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 2.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 2.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.658 * [taylor]: Taking taylor expansion of 1/3 in N 2.658 * [backup-simplify]: Simplify 1/3 into 1/3 2.658 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.658 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.658 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.658 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.658 * [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 N) 1) in N 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 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (/ 1 1) into 1 2.659 * [taylor]: Taking taylor expansion of 1 in N 2.660 * [backup-simplify]: Simplify 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 0) into 1 2.660 * [backup-simplify]: Simplify (* 1 1) into 1 2.661 * [backup-simplify]: Simplify (+ 1 0) into 1 2.661 * [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) 2.662 * [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 1) into 1 2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 2.665 * [backup-simplify]: Simplify (+ 1 0) into 1 2.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.667 * [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 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 2.672 * [backup-simplify]: Simplify (+ 0 1) into 1 2.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.675 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.676 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 2.678 * [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)) 2.678 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 2.679 * [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)))) 2.679 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 2.679 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 2.679 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 2.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 2.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.679 * [taylor]: Taking taylor expansion of 1/3 in N 2.679 * [backup-simplify]: Simplify 1/3 into 1/3 2.679 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.679 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.679 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.679 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.679 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.679 * [taylor]: Taking taylor expansion of -1 in N 2.679 * [backup-simplify]: Simplify -1 into -1 2.680 * [taylor]: Taking taylor expansion of N in N 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ -1 1) into -1 2.680 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.680 * [taylor]: Taking taylor expansion of 1 in N 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.680 * [taylor]: Taking taylor expansion of N in N 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (/ 1 1) into 1 2.681 * [taylor]: Taking taylor expansion of 1 in N 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (- 1) into -1 2.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.682 * [backup-simplify]: Simplify (* -1 -1) into 1 2.682 * [backup-simplify]: Simplify (+ 1 0) into 1 2.683 * [backup-simplify]: Simplify (log 1) into 0 2.683 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.683 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.683 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.683 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 2.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 2.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.683 * [taylor]: Taking taylor expansion of 1/3 in N 2.683 * [backup-simplify]: Simplify 1/3 into 1/3 2.683 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.683 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.684 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.684 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.684 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.684 * [taylor]: Taking taylor expansion of -1 in N 2.684 * [backup-simplify]: Simplify -1 into -1 2.684 * [taylor]: Taking taylor expansion of N in N 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (/ -1 1) into -1 2.684 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.684 * [taylor]: Taking taylor expansion of 1 in N 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.684 * [taylor]: Taking taylor expansion of N in N 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (/ 1 1) into 1 2.685 * [taylor]: Taking taylor expansion of 1 in N 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (- 1) into -1 2.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.686 * [backup-simplify]: Simplify (* -1 -1) into 1 2.686 * [backup-simplify]: Simplify (+ 1 0) into 1 2.687 * [backup-simplify]: Simplify (log 1) into 0 2.687 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.687 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.687 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.688 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (- 0) into 0 2.689 * [backup-simplify]: Simplify (+ 1 0) into 1 2.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -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 2.692 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.693 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 2.693 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.693 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 1) into 1 2.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.697 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.698 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 2.699 * [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)) 2.699 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 2.699 * [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)))) 2.699 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.699 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 2.699 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 2.699 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 2.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 2.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 2.700 * [taylor]: Taking taylor expansion of 1/3 in N 2.700 * [backup-simplify]: Simplify 1/3 into 1/3 2.700 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 2.700 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.700 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.700 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.700 * [taylor]: Taking taylor expansion of N in N 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.700 * [taylor]: Taking taylor expansion of N in N 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [taylor]: Taking taylor expansion of 1 in N 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [taylor]: Taking taylor expansion of 1 in N 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (+ 0 1) into 1 2.700 * [backup-simplify]: Simplify (* 0 1) into 0 2.701 * [backup-simplify]: Simplify (+ 0 1) into 1 2.701 * [backup-simplify]: Simplify (log 1) into 0 2.701 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.702 * [backup-simplify]: Simplify (+ 1 0) into 1 2.702 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.702 * [backup-simplify]: Simplify (+ 1 0) into 1 2.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.703 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.703 * [backup-simplify]: Simplify (exp 0) into 1 2.703 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 2.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 2.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 2.703 * [taylor]: Taking taylor expansion of 1/3 in N 2.703 * [backup-simplify]: Simplify 1/3 into 1/3 2.703 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 2.703 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.704 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.704 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.704 * [taylor]: Taking taylor expansion of N in N 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.704 * [taylor]: Taking taylor expansion of N in N 2.704 * [backup-simplify]: Simplify 0 into 0 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 * [taylor]: Taking taylor expansion of 1 in N 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (+ 0 1) into 1 2.704 * [backup-simplify]: Simplify (* 0 1) into 0 2.704 * [backup-simplify]: Simplify (+ 0 1) into 1 2.705 * [backup-simplify]: Simplify (log 1) into 0 2.705 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.705 * [backup-simplify]: Simplify (+ 1 0) into 1 2.706 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.706 * [backup-simplify]: Simplify (+ 1 0) into 1 2.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.707 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.707 * [backup-simplify]: Simplify (exp 0) into 1 2.707 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.708 * [backup-simplify]: Simplify 1/3 into 1/3 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.711 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 2.712 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 2.712 * [backup-simplify]: Simplify 2/9 into 2/9 2.712 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 2.712 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 2.712 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 2.712 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 2.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 2.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.712 * [taylor]: Taking taylor expansion of 1/3 in N 2.712 * [backup-simplify]: Simplify 1/3 into 1/3 2.712 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.712 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.712 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.712 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.712 * [taylor]: Taking taylor expansion of N in N 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.713 * [taylor]: Taking taylor expansion of N in N 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [taylor]: Taking taylor expansion of 1 in N 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [taylor]: Taking taylor expansion of 1 in N 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.714 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [backup-simplify]: Simplify (log 1) into 0 2.714 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.715 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.715 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.715 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 2.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 2.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.715 * [taylor]: Taking taylor expansion of 1/3 in N 2.715 * [backup-simplify]: Simplify 1/3 into 1/3 2.715 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.715 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.715 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.715 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.715 * [taylor]: Taking taylor expansion of N in N 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.715 * [taylor]: Taking taylor expansion of N in N 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [taylor]: Taking taylor expansion of 1 in N 2.715 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of 1 in N 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (+ 1 0) into 1 2.716 * [backup-simplify]: Simplify (* 1 1) into 1 2.716 * [backup-simplify]: Simplify (+ 1 0) into 1 2.717 * [backup-simplify]: Simplify (log 1) into 0 2.717 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.717 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.717 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.717 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (+ 0 1) into 1 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 2.722 * [backup-simplify]: Simplify (+ 1 0) into 1 2.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.724 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.725 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 2.726 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.726 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 2.730 * [backup-simplify]: Simplify (+ 0 1) into 1 2.733 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.734 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.735 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 2.736 * [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)) 2.736 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 2.737 * [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)))) 2.737 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 2.737 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 2.737 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 2.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 2.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.737 * [taylor]: Taking taylor expansion of 1/3 in N 2.738 * [backup-simplify]: Simplify 1/3 into 1/3 2.738 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.738 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.738 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.738 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.738 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.738 * [taylor]: Taking taylor expansion of -1 in N 2.738 * [backup-simplify]: Simplify -1 into -1 2.738 * [taylor]: Taking taylor expansion of N in N 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (/ -1 1) into -1 2.738 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.738 * [taylor]: Taking taylor expansion of 1 in N 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.739 * [taylor]: Taking taylor expansion of N in N 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [taylor]: Taking taylor expansion of 1 in N 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (- 1) into -1 2.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.740 * [backup-simplify]: Simplify (* -1 -1) into 1 2.741 * [backup-simplify]: Simplify (+ 1 0) into 1 2.741 * [backup-simplify]: Simplify (log 1) into 0 2.741 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.742 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.742 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.742 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 2.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 2.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.742 * [taylor]: Taking taylor expansion of 1/3 in N 2.742 * [backup-simplify]: Simplify 1/3 into 1/3 2.742 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.742 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.742 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.742 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.742 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.742 * [taylor]: Taking taylor expansion of -1 in N 2.742 * [backup-simplify]: Simplify -1 into -1 2.742 * [taylor]: Taking taylor expansion of N in N 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ -1 1) into -1 2.743 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.743 * [taylor]: Taking taylor expansion of 1 in N 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.743 * [taylor]: Taking taylor expansion of N in N 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of 1 in N 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (- 1) into -1 2.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.744 * [backup-simplify]: Simplify (* -1 -1) into 1 2.745 * [backup-simplify]: Simplify (+ 1 0) into 1 2.745 * [backup-simplify]: Simplify (log 1) into 0 2.745 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.746 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.746 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.746 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 1 0) into 1 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.749 * [backup-simplify]: Simplify (+ -1 0) into -1 2.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.751 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.752 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 2.753 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.753 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (- 0) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 1) into 1 2.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 2.758 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.759 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 2.759 * [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)) 2.760 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 2.760 * [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)))) 2.760 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.760 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) into (atan2 1 (fma N (+ N 1) 1)) 2.760 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 2.760 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.760 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.760 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.760 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.760 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.761 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.761 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 2.761 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.761 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.761 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.761 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.761 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.762 * [backup-simplify]: Simplify (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.762 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 2.762 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.762 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.762 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.762 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.762 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.763 * * * [progress]: simplifying candidates 2.763 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 2.763 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 2.763 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 2.763 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 2.763 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 2.763 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 2.763 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 2.763 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 2.763 * * [simplify]: iters left: 6 (7 enodes) 2.765 * * [simplify]: iters left: 5 (26 enodes) 2.770 * * [simplify]: iters left: 4 (39 enodes) 2.776 * * [simplify]: iters left: 3 (46 enodes) 2.782 * * [simplify]: Extracting #0: cost 1 inf + 0 2.782 * * [simplify]: Extracting #1: cost 3 inf + 0 2.782 * * [simplify]: Extracting #2: cost 5 inf + 0 2.782 * * [simplify]: Extracting #3: cost 7 inf + 0 2.782 * * [simplify]: Extracting #4: cost 12 inf + 0 2.782 * * [simplify]: Extracting #5: cost 13 inf + 2 2.783 * * [simplify]: Extracting #6: cost 8 inf + 377 2.783 * * [simplify]: Extracting #7: cost 4 inf + 868 2.783 * * [simplify]: Extracting #8: cost 1 inf + 1559 2.783 * * [simplify]: Extracting #9: cost 0 inf + 1856 2.784 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 2.784 * [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))))))) 2.784 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 2.784 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 2.784 * * [simplify]: iters left: 5 (6 enodes) 2.786 * * [simplify]: iters left: 4 (23 enodes) 2.790 * * [simplify]: iters left: 3 (36 enodes) 2.800 * * [simplify]: iters left: 2 (43 enodes) 2.810 * * [simplify]: Extracting #0: cost 1 inf + 0 2.810 * * [simplify]: Extracting #1: cost 3 inf + 0 2.810 * * [simplify]: Extracting #2: cost 5 inf + 0 2.811 * * [simplify]: Extracting #3: cost 10 inf + 0 2.811 * * [simplify]: Extracting #4: cost 10 inf + 44 2.811 * * [simplify]: Extracting #5: cost 6 inf + 336 2.811 * * [simplify]: Extracting #6: cost 1 inf + 965 2.812 * * [simplify]: Extracting #7: cost 0 inf + 1182 2.813 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 2.813 * [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))))))) 2.813 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 2.813 * [simplify]: Simplifying (cbrt 1) 2.813 * * [simplify]: iters left: 1 (2 enodes) 2.816 * * [simplify]: Extracting #0: cost 1 inf + 0 2.816 * * [simplify]: Extracting #1: cost 0 inf + 1 2.816 * [simplify]: Simplified to 1 2.817 * [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)))))) 2.817 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ N 1) 1)))))))> 2.817 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 2.817 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 2.818 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 2.818 * * [simplify]: iters left: 6 (7 enodes) 2.821 * * [simplify]: iters left: 5 (26 enodes) 2.830 * * [simplify]: iters left: 4 (39 enodes) 2.843 * * [simplify]: iters left: 3 (46 enodes) 2.857 * * [simplify]: Extracting #0: cost 1 inf + 0 2.857 * * [simplify]: Extracting #1: cost 3 inf + 0 2.857 * * [simplify]: Extracting #2: cost 5 inf + 0 2.857 * * [simplify]: Extracting #3: cost 7 inf + 0 2.857 * * [simplify]: Extracting #4: cost 12 inf + 0 2.857 * * [simplify]: Extracting #5: cost 13 inf + 2 2.857 * * [simplify]: Extracting #6: cost 8 inf + 377 2.858 * * [simplify]: Extracting #7: cost 4 inf + 868 2.858 * * [simplify]: Extracting #8: cost 1 inf + 1559 2.859 * * [simplify]: Extracting #9: cost 0 inf + 1856 2.859 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 2.859 * [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))))) 2.860 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 2.860 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 2.860 * * [simplify]: iters left: 5 (6 enodes) 2.863 * * [simplify]: iters left: 4 (23 enodes) 2.871 * * [simplify]: iters left: 3 (36 enodes) 2.883 * * [simplify]: iters left: 2 (43 enodes) 2.893 * * [simplify]: Extracting #0: cost 1 inf + 0 2.893 * * [simplify]: Extracting #1: cost 3 inf + 0 2.893 * * [simplify]: Extracting #2: cost 5 inf + 0 2.893 * * [simplify]: Extracting #3: cost 10 inf + 0 2.893 * * [simplify]: Extracting #4: cost 10 inf + 44 2.894 * * [simplify]: Extracting #5: cost 6 inf + 336 2.894 * * [simplify]: Extracting #6: cost 1 inf + 965 2.894 * * [simplify]: Extracting #7: cost 0 inf + 1182 2.895 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 2.895 * [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))))) 2.895 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 2.895 * [simplify]: Simplifying (cbrt 1) 2.896 * * [simplify]: iters left: 1 (2 enodes) 2.899 * * [simplify]: Extracting #0: cost 1 inf + 0 2.899 * * [simplify]: Extracting #1: cost 0 inf + 1 2.899 * [simplify]: Simplified to 1 2.899 * [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))))) 2.899 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 2.899 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))> 2.900 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 2.900 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 2.900 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 2.901 * * [simplify]: iters left: 6 (7 enodes) 2.904 * * [simplify]: iters left: 5 (26 enodes) 2.913 * * [simplify]: iters left: 4 (39 enodes) 2.925 * * [simplify]: iters left: 3 (46 enodes) 2.936 * * [simplify]: Extracting #0: cost 1 inf + 0 2.936 * * [simplify]: Extracting #1: cost 3 inf + 0 2.936 * * [simplify]: Extracting #2: cost 5 inf + 0 2.936 * * [simplify]: Extracting #3: cost 7 inf + 0 2.936 * * [simplify]: Extracting #4: cost 12 inf + 0 2.936 * * [simplify]: Extracting #5: cost 13 inf + 2 2.936 * * [simplify]: Extracting #6: cost 8 inf + 377 2.937 * * [simplify]: Extracting #7: cost 4 inf + 868 2.937 * * [simplify]: Extracting #8: cost 1 inf + 1559 2.938 * * [simplify]: Extracting #9: cost 0 inf + 1856 2.938 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 2.938 * [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))))) 2.938 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 2.939 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 2.939 * * [simplify]: iters left: 5 (6 enodes) 2.942 * * [simplify]: iters left: 4 (23 enodes) 2.950 * * [simplify]: iters left: 3 (36 enodes) 2.957 * * [simplify]: iters left: 2 (43 enodes) 2.962 * * [simplify]: Extracting #0: cost 1 inf + 0 2.962 * * [simplify]: Extracting #1: cost 3 inf + 0 2.962 * * [simplify]: Extracting #2: cost 5 inf + 0 2.963 * * [simplify]: Extracting #3: cost 10 inf + 0 2.963 * * [simplify]: Extracting #4: cost 10 inf + 44 2.963 * * [simplify]: Extracting #5: cost 6 inf + 336 2.963 * * [simplify]: Extracting #6: cost 1 inf + 965 2.963 * * [simplify]: Extracting #7: cost 0 inf + 1182 2.964 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 2.964 * [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))))) 2.964 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 2.964 * [simplify]: Simplifying (cbrt 1) 2.964 * * [simplify]: iters left: 1 (2 enodes) 2.966 * * [simplify]: Extracting #0: cost 1 inf + 0 2.966 * * [simplify]: Extracting #1: cost 0 inf + 1 2.966 * [simplify]: Simplified to 1 2.966 * [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))))) 2.966 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))> 2.966 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 2.966 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 2.967 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 2.967 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))> 2.967 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 2.967 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 2.967 * * [simplify]: iters left: 6 (10 enodes) 2.971 * * [simplify]: iters left: 5 (44 enodes) 2.978 * * [simplify]: iters left: 4 (62 enodes) 2.998 * * [simplify]: iters left: 3 (90 enodes) 3.010 * * [simplify]: iters left: 2 (112 enodes) 3.029 * * [simplify]: iters left: 1 (124 enodes) 3.052 * * [simplify]: Extracting #0: cost 1 inf + 0 3.052 * * [simplify]: Extracting #1: cost 14 inf + 0 3.053 * * [simplify]: Extracting #2: cost 17 inf + 87 3.053 * * [simplify]: Extracting #3: cost 4 inf + 943 3.054 * * [simplify]: Extracting #4: cost 0 inf + 1271 3.056 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 3.056 * [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)))) 3.056 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 3.056 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.056 * * [simplify]: iters left: 6 (16 enodes) 3.068 * * [simplify]: iters left: 5 (73 enodes) 3.099 * * [simplify]: iters left: 4 (144 enodes) 3.149 * * [simplify]: iters left: 3 (279 enodes) 3.227 * * [simplify]: Extracting #0: cost 1 inf + 0 3.227 * * [simplify]: Extracting #1: cost 23 inf + 0 3.228 * * [simplify]: Extracting #2: cost 76 inf + 2 3.228 * * [simplify]: Extracting #3: cost 97 inf + 8 3.228 * * [simplify]: Extracting #4: cost 88 inf + 2817 3.230 * * [simplify]: Extracting #5: cost 50 inf + 14443 3.233 * * [simplify]: Extracting #6: cost 18 inf + 26768 3.237 * * [simplify]: Extracting #7: cost 0 inf + 36432 3.242 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 3.242 * [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)))))) 3.242 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 3.242 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.242 * * [simplify]: iters left: 6 (18 enodes) 3.249 * * [simplify]: iters left: 5 (79 enodes) 3.279 * * [simplify]: iters left: 4 (150 enodes) 3.343 * * [simplify]: iters left: 3 (285 enodes) 3.421 * * [simplify]: Extracting #0: cost 1 inf + 0 3.422 * * [simplify]: Extracting #1: cost 23 inf + 0 3.422 * * [simplify]: Extracting #2: cost 78 inf + 2 3.422 * * [simplify]: Extracting #3: cost 101 inf + 8 3.423 * * [simplify]: Extracting #4: cost 95 inf + 1133 3.425 * * [simplify]: Extracting #5: cost 38 inf + 18588 3.429 * * [simplify]: Extracting #6: cost 2 inf + 37269 3.434 * * [simplify]: Extracting #7: cost 0 inf + 37268 3.441 * * [simplify]: Extracting #8: cost 0 inf + 37228 3.446 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 3.446 * [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)))))) 3.446 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 3.446 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 3.447 * * [simplify]: iters left: 6 (10 enodes) 3.450 * * [simplify]: iters left: 5 (44 enodes) 3.458 * * [simplify]: iters left: 4 (62 enodes) 3.469 * * [simplify]: iters left: 3 (90 enodes) 3.485 * * [simplify]: iters left: 2 (112 enodes) 3.516 * * [simplify]: iters left: 1 (124 enodes) 3.538 * * [simplify]: Extracting #0: cost 1 inf + 0 3.538 * * [simplify]: Extracting #1: cost 14 inf + 0 3.539 * * [simplify]: Extracting #2: cost 17 inf + 87 3.539 * * [simplify]: Extracting #3: cost 4 inf + 943 3.540 * * [simplify]: Extracting #4: cost 0 inf + 1271 3.541 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 3.541 * [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))))) 3.542 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 3.542 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.542 * * [simplify]: iters left: 6 (16 enodes) 3.556 * * [simplify]: iters left: 5 (73 enodes) 3.581 * * [simplify]: iters left: 4 (144 enodes) 3.612 * * [simplify]: iters left: 3 (279 enodes) 3.686 * * [simplify]: Extracting #0: cost 1 inf + 0 3.687 * * [simplify]: Extracting #1: cost 23 inf + 0 3.687 * * [simplify]: Extracting #2: cost 76 inf + 2 3.687 * * [simplify]: Extracting #3: cost 97 inf + 8 3.688 * * [simplify]: Extracting #4: cost 88 inf + 2817 3.689 * * [simplify]: Extracting #5: cost 50 inf + 14443 3.692 * * [simplify]: Extracting #6: cost 18 inf + 26768 3.696 * * [simplify]: Extracting #7: cost 0 inf + 36432 3.701 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 3.701 * [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))))) 3.701 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 3.702 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.702 * * [simplify]: iters left: 6 (18 enodes) 3.709 * * [simplify]: iters left: 5 (79 enodes) 3.739 * * [simplify]: iters left: 4 (150 enodes) 3.791 * * [simplify]: iters left: 3 (285 enodes) 3.871 * * [simplify]: Extracting #0: cost 1 inf + 0 3.871 * * [simplify]: Extracting #1: cost 23 inf + 0 3.871 * * [simplify]: Extracting #2: cost 78 inf + 2 3.872 * * [simplify]: Extracting #3: cost 101 inf + 8 3.873 * * [simplify]: Extracting #4: cost 95 inf + 1133 3.877 * * [simplify]: Extracting #5: cost 38 inf + 18588 3.886 * * [simplify]: Extracting #6: cost 2 inf + 37269 3.896 * * [simplify]: Extracting #7: cost 0 inf + 37268 3.905 * * [simplify]: Extracting #8: cost 0 inf + 37228 3.914 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 3.914 * [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))))) 3.914 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 3.915 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 3.915 * * [simplify]: iters left: 6 (10 enodes) 3.922 * * [simplify]: iters left: 5 (44 enodes) 3.936 * * [simplify]: iters left: 4 (62 enodes) 3.956 * * [simplify]: iters left: 3 (90 enodes) 3.981 * * [simplify]: iters left: 2 (112 enodes) 4.000 * * [simplify]: iters left: 1 (124 enodes) 4.012 * * [simplify]: Extracting #0: cost 1 inf + 0 4.012 * * [simplify]: Extracting #1: cost 14 inf + 0 4.013 * * [simplify]: Extracting #2: cost 17 inf + 87 4.013 * * [simplify]: Extracting #3: cost 4 inf + 943 4.013 * * [simplify]: Extracting #4: cost 0 inf + 1271 4.014 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 4.014 * [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))))) 4.014 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 4.014 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 4.014 * * [simplify]: iters left: 6 (16 enodes) 4.021 * * [simplify]: iters left: 5 (73 enodes) 4.038 * * [simplify]: iters left: 4 (144 enodes) 4.074 * * [simplify]: iters left: 3 (279 enodes) 4.145 * * [simplify]: Extracting #0: cost 1 inf + 0 4.145 * * [simplify]: Extracting #1: cost 23 inf + 0 4.146 * * [simplify]: Extracting #2: cost 76 inf + 2 4.146 * * [simplify]: Extracting #3: cost 97 inf + 8 4.147 * * [simplify]: Extracting #4: cost 88 inf + 2817 4.148 * * [simplify]: Extracting #5: cost 50 inf + 14443 4.151 * * [simplify]: Extracting #6: cost 18 inf + 26768 4.155 * * [simplify]: Extracting #7: cost 0 inf + 36432 4.160 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 4.160 * [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))))) 4.160 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 4.160 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 4.160 * * [simplify]: iters left: 6 (18 enodes) 4.170 * * [simplify]: iters left: 5 (79 enodes) 4.188 * * [simplify]: iters left: 4 (150 enodes) 4.224 * * [simplify]: iters left: 3 (285 enodes) 4.306 * * [simplify]: Extracting #0: cost 1 inf + 0 4.306 * * [simplify]: Extracting #1: cost 23 inf + 0 4.306 * * [simplify]: Extracting #2: cost 78 inf + 2 4.307 * * [simplify]: Extracting #3: cost 101 inf + 8 4.307 * * [simplify]: Extracting #4: cost 95 inf + 1133 4.309 * * [simplify]: Extracting #5: cost 38 inf + 18588 4.314 * * [simplify]: Extracting #6: cost 2 inf + 37269 4.319 * * [simplify]: Extracting #7: cost 0 inf + 37268 4.324 * * [simplify]: Extracting #8: cost 0 inf + 37228 4.329 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 4.329 * [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))))) 4.329 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 4.329 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.330 * * [simplify]: iters left: 4 (5 enodes) 4.331 * * [simplify]: iters left: 3 (20 enodes) 4.334 * * [simplify]: iters left: 2 (33 enodes) 4.340 * * [simplify]: iters left: 1 (40 enodes) 4.345 * * [simplify]: Extracting #0: cost 1 inf + 0 4.345 * * [simplify]: Extracting #1: cost 4 inf + 0 4.345 * * [simplify]: Extracting #2: cost 7 inf + 1 4.345 * * [simplify]: Extracting #3: cost 3 inf + 768 4.345 * * [simplify]: Extracting #4: cost 1 inf + 907 4.345 * * [simplify]: Extracting #5: cost 0 inf + 948 4.346 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.346 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 4.346 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 4.346 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.346 * * [simplify]: iters left: 4 (5 enodes) 4.347 * * [simplify]: iters left: 3 (20 enodes) 4.351 * * [simplify]: iters left: 2 (33 enodes) 4.359 * * [simplify]: iters left: 1 (40 enodes) 4.368 * * [simplify]: Extracting #0: cost 1 inf + 0 4.368 * * [simplify]: Extracting #1: cost 4 inf + 0 4.368 * * [simplify]: Extracting #2: cost 7 inf + 1 4.369 * * [simplify]: Extracting #3: cost 3 inf + 768 4.369 * * [simplify]: Extracting #4: cost 1 inf + 907 4.370 * * [simplify]: Extracting #5: cost 0 inf + 948 4.370 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.370 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 4.370 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 4.370 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.371 * * [simplify]: iters left: 4 (5 enodes) 4.373 * * [simplify]: iters left: 3 (20 enodes) 4.380 * * [simplify]: iters left: 2 (33 enodes) 4.391 * * [simplify]: iters left: 1 (40 enodes) 4.401 * * [simplify]: Extracting #0: cost 1 inf + 0 4.401 * * [simplify]: Extracting #1: cost 4 inf + 0 4.401 * * [simplify]: Extracting #2: cost 7 inf + 1 4.401 * * [simplify]: Extracting #3: cost 3 inf + 768 4.401 * * [simplify]: Extracting #4: cost 1 inf + 907 4.402 * * [simplify]: Extracting #5: cost 0 inf + 948 4.402 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.402 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 4.402 * * * [progress]: adding candidates to table 4.942 * * [progress]: iteration 4 / 4 4.942 * * * [progress]: picking best candidate 4.957 * * * * [pick]: Picked # 4.958 * * * [progress]: localizing error 5.000 * * * [progress]: generating rewritten candidates 5.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.001 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 5.002 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2) 5.003 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 5.004 * * * [progress]: generating series expansions 5.004 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.004 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 5.004 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 5.004 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.004 * [taylor]: Taking taylor expansion of 1/3 in N 5.004 * [backup-simplify]: Simplify 1/3 into 1/3 5.004 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.004 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.004 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.004 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.004 * [taylor]: Taking taylor expansion of N in N 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.004 * [taylor]: Taking taylor expansion of N in N 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of 1 in N 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of 1 in N 5.004 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (+ 0 1) into 1 5.005 * [backup-simplify]: Simplify (* 0 1) into 0 5.005 * [backup-simplify]: Simplify (+ 0 1) into 1 5.006 * [backup-simplify]: Simplify (log 1) into 0 5.006 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.006 * [backup-simplify]: Simplify (+ 1 0) into 1 5.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.007 * [backup-simplify]: Simplify (+ 1 0) into 1 5.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.008 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.008 * [backup-simplify]: Simplify (exp 0) into 1 5.008 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.008 * [taylor]: Taking taylor expansion of 1/3 in N 5.008 * [backup-simplify]: Simplify 1/3 into 1/3 5.008 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.008 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.008 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.008 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.008 * [taylor]: Taking taylor expansion of N in N 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.008 * [taylor]: Taking taylor expansion of N in N 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of 1 in N 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of 1 in N 5.008 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (+ 0 1) into 1 5.009 * [backup-simplify]: Simplify (* 0 1) into 0 5.009 * [backup-simplify]: Simplify (+ 0 1) into 1 5.010 * [backup-simplify]: Simplify (log 1) into 0 5.010 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.010 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.011 * [backup-simplify]: Simplify (+ 1 0) into 1 5.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.012 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.012 * [backup-simplify]: Simplify (exp 0) into 1 5.012 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.013 * [backup-simplify]: Simplify 1/3 into 1/3 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.015 * [backup-simplify]: Simplify (+ 1 0) into 1 5.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.019 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 5.020 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 5.020 * [backup-simplify]: Simplify 2/9 into 2/9 5.021 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 5.021 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 5.021 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 5.021 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.021 * [taylor]: Taking taylor expansion of 1/3 in N 5.021 * [backup-simplify]: Simplify 1/3 into 1/3 5.021 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.021 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.021 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.021 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.021 * [taylor]: Taking taylor expansion of N in N 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.022 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.022 * [taylor]: Taking taylor expansion of N in N 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.022 * [taylor]: Taking taylor expansion of 1 in N 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [taylor]: Taking taylor expansion of 1 in N 5.022 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (+ 1 0) into 1 5.023 * [backup-simplify]: Simplify (* 1 1) into 1 5.024 * [backup-simplify]: Simplify (+ 1 0) into 1 5.024 * [backup-simplify]: Simplify (log 1) into 0 5.024 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.025 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.025 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.025 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.025 * [taylor]: Taking taylor expansion of 1/3 in N 5.025 * [backup-simplify]: Simplify 1/3 into 1/3 5.025 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.025 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.025 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.025 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.025 * [taylor]: Taking taylor expansion of N in N 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.025 * [backup-simplify]: Simplify (/ 1 1) into 1 5.025 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.025 * [taylor]: Taking taylor expansion of N in N 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (/ 1 1) into 1 5.026 * [taylor]: Taking taylor expansion of 1 in N 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [taylor]: Taking taylor expansion of 1 in N 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (+ 1 0) into 1 5.027 * [backup-simplify]: Simplify (* 1 1) into 1 5.027 * [backup-simplify]: Simplify (+ 1 0) into 1 5.028 * [backup-simplify]: Simplify (log 1) into 0 5.028 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.028 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.028 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.028 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ 0 1) into 1 5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 5.031 * [backup-simplify]: Simplify (+ 1 0) into 1 5.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.033 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.034 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.034 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.035 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.036 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 5.038 * [backup-simplify]: Simplify (+ 0 1) into 1 5.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.042 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.043 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 5.045 * [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)) 5.045 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.046 * [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)))) 5.046 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 5.046 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 5.046 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.046 * [taylor]: Taking taylor expansion of 1/3 in N 5.046 * [backup-simplify]: Simplify 1/3 into 1/3 5.046 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.046 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.046 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.046 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.046 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.046 * [taylor]: Taking taylor expansion of -1 in N 5.046 * [backup-simplify]: Simplify -1 into -1 5.046 * [taylor]: Taking taylor expansion of N in N 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (/ -1 1) into -1 5.047 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.047 * [taylor]: Taking taylor expansion of 1 in N 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.047 * [taylor]: Taking taylor expansion of N in N 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (/ 1 1) into 1 5.048 * [taylor]: Taking taylor expansion of 1 in N 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (- 1) into -1 5.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.049 * [backup-simplify]: Simplify (* -1 -1) into 1 5.049 * [backup-simplify]: Simplify (+ 1 0) into 1 5.049 * [backup-simplify]: Simplify (log 1) into 0 5.050 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.050 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.050 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.050 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.050 * [taylor]: Taking taylor expansion of 1/3 in N 5.050 * [backup-simplify]: Simplify 1/3 into 1/3 5.050 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.050 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.050 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.050 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.050 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.051 * [taylor]: Taking taylor expansion of -1 in N 5.051 * [backup-simplify]: Simplify -1 into -1 5.051 * [taylor]: Taking taylor expansion of N in N 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.051 * [backup-simplify]: Simplify (/ -1 1) into -1 5.051 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.051 * [taylor]: Taking taylor expansion of 1 in N 5.051 * [backup-simplify]: Simplify 1 into 1 5.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.051 * [taylor]: Taking taylor expansion of N in N 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.052 * [taylor]: Taking taylor expansion of 1 in N 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (- 1) into -1 5.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.053 * [backup-simplify]: Simplify (* -1 -1) into 1 5.053 * [backup-simplify]: Simplify (+ 1 0) into 1 5.054 * [backup-simplify]: Simplify (log 1) into 0 5.054 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.054 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.055 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.055 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify (- 0) into 0 5.056 * [backup-simplify]: Simplify (+ 1 0) into 1 5.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.061 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 5.061 * [backup-simplify]: Simplify (+ -1 0) into -1 5.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.062 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.063 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 5.063 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.063 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (- 0) into 0 5.064 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 5.066 * [backup-simplify]: Simplify (+ 0 1) into 1 5.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.068 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.068 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 5.069 * [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)) 5.069 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.070 * [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)))) 5.070 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 5.070 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 5.070 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 5.070 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.070 * [taylor]: Taking taylor expansion of 1/3 in N 5.070 * [backup-simplify]: Simplify 1/3 into 1/3 5.070 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.070 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.070 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.070 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.070 * [taylor]: Taking taylor expansion of N in N 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.070 * [taylor]: Taking taylor expansion of N in N 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [taylor]: Taking taylor expansion of 1 in N 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [taylor]: Taking taylor expansion of 1 in N 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (+ 0 1) into 1 5.071 * [backup-simplify]: Simplify (* 0 1) into 0 5.071 * [backup-simplify]: Simplify (+ 0 1) into 1 5.071 * [backup-simplify]: Simplify (log 1) into 0 5.071 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.072 * [backup-simplify]: Simplify (+ 1 0) into 1 5.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.072 * [backup-simplify]: Simplify (+ 1 0) into 1 5.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.073 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.073 * [backup-simplify]: Simplify (exp 0) into 1 5.073 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.073 * [taylor]: Taking taylor expansion of 1/3 in N 5.073 * [backup-simplify]: Simplify 1/3 into 1/3 5.073 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.073 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.074 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.074 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.074 * [taylor]: Taking taylor expansion of N in N 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.074 * [taylor]: Taking taylor expansion of N in N 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [taylor]: Taking taylor expansion of 1 in N 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [taylor]: Taking taylor expansion of 1 in N 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (+ 0 1) into 1 5.074 * [backup-simplify]: Simplify (* 0 1) into 0 5.074 * [backup-simplify]: Simplify (+ 0 1) into 1 5.075 * [backup-simplify]: Simplify (log 1) into 0 5.075 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.075 * [backup-simplify]: Simplify (+ 1 0) into 1 5.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.077 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.077 * [backup-simplify]: Simplify (exp 0) into 1 5.077 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.078 * [backup-simplify]: Simplify 1/3 into 1/3 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.079 * [backup-simplify]: Simplify (+ 1 0) into 1 5.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.081 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 5.082 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 5.082 * [backup-simplify]: Simplify 2/9 into 2/9 5.082 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 5.082 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 5.082 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 5.082 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.082 * [taylor]: Taking taylor expansion of 1/3 in N 5.082 * [backup-simplify]: Simplify 1/3 into 1/3 5.082 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.082 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.082 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.082 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.082 * [taylor]: Taking taylor expansion of N in N 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (/ 1 1) into 1 5.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.083 * [taylor]: Taking taylor expansion of N in N 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (/ 1 1) into 1 5.083 * [taylor]: Taking taylor expansion of 1 in N 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [taylor]: Taking taylor expansion of 1 in N 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (+ 1 0) into 1 5.083 * [backup-simplify]: Simplify (* 1 1) into 1 5.084 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify (log 1) into 0 5.084 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.084 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.084 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.084 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.084 * [taylor]: Taking taylor expansion of 1/3 in N 5.084 * [backup-simplify]: Simplify 1/3 into 1/3 5.084 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.084 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.084 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.084 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.084 * [taylor]: Taking taylor expansion of N in N 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (/ 1 1) into 1 5.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.085 * [taylor]: Taking taylor expansion of N in N 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (/ 1 1) into 1 5.085 * [taylor]: Taking taylor expansion of 1 in N 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [taylor]: Taking taylor expansion of 1 in N 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (+ 1 0) into 1 5.086 * [backup-simplify]: Simplify (* 1 1) into 1 5.086 * [backup-simplify]: Simplify (+ 1 0) into 1 5.086 * [backup-simplify]: Simplify (log 1) into 0 5.086 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.086 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.086 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.087 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (+ 0 1) into 1 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 5.089 * [backup-simplify]: Simplify (+ 1 0) into 1 5.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.091 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.091 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.092 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.092 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.093 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 1) into 1 5.098 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.099 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.100 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 5.101 * [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)) 5.101 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.101 * [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)))) 5.101 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 5.101 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 5.101 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.101 * [taylor]: Taking taylor expansion of 1/3 in N 5.101 * [backup-simplify]: Simplify 1/3 into 1/3 5.101 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.101 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.102 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.102 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.102 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.102 * [taylor]: Taking taylor expansion of -1 in N 5.102 * [backup-simplify]: Simplify -1 into -1 5.102 * [taylor]: Taking taylor expansion of N in N 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ -1 1) into -1 5.102 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.102 * [taylor]: Taking taylor expansion of 1 in N 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.102 * [taylor]: Taking taylor expansion of N in N 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ 1 1) into 1 5.102 * [taylor]: Taking taylor expansion of 1 in N 5.102 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (- 1) into -1 5.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.103 * [backup-simplify]: Simplify (* -1 -1) into 1 5.103 * [backup-simplify]: Simplify (+ 1 0) into 1 5.104 * [backup-simplify]: Simplify (log 1) into 0 5.104 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.104 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.104 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.104 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.104 * [taylor]: Taking taylor expansion of 1/3 in N 5.104 * [backup-simplify]: Simplify 1/3 into 1/3 5.104 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.104 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.104 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.104 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.104 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.104 * [taylor]: Taking taylor expansion of -1 in N 5.104 * [backup-simplify]: Simplify -1 into -1 5.104 * [taylor]: Taking taylor expansion of N in N 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ -1 1) into -1 5.105 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.105 * [taylor]: Taking taylor expansion of 1 in N 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.105 * [taylor]: Taking taylor expansion of N in N 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.105 * [taylor]: Taking taylor expansion of 1 in N 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (- 1) into -1 5.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.106 * [backup-simplify]: Simplify (* -1 -1) into 1 5.106 * [backup-simplify]: Simplify (+ 1 0) into 1 5.106 * [backup-simplify]: Simplify (log 1) into 0 5.106 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.106 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.106 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.107 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.107 * [backup-simplify]: Simplify (- 0) into 0 5.108 * [backup-simplify]: Simplify (+ 1 0) into 1 5.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 5.109 * [backup-simplify]: Simplify (+ -1 0) into -1 5.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.110 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.110 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 5.111 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.111 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (- 0) into 0 5.112 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 5.113 * [backup-simplify]: Simplify (+ 0 1) into 1 5.114 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.115 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.115 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 5.116 * [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)) 5.116 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.117 * [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)))) 5.117 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2) 5.117 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 5.117 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 5.117 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.117 * [taylor]: Taking taylor expansion of 1/3 in N 5.117 * [backup-simplify]: Simplify 1/3 into 1/3 5.117 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.117 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.117 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.117 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.117 * [taylor]: Taking taylor expansion of N in N 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.117 * [taylor]: Taking taylor expansion of N in N 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of 1 in N 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of 1 in N 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (+ 0 1) into 1 5.118 * [backup-simplify]: Simplify (* 0 1) into 0 5.118 * [backup-simplify]: Simplify (+ 0 1) into 1 5.118 * [backup-simplify]: Simplify (log 1) into 0 5.118 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.119 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.121 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.121 * [backup-simplify]: Simplify (exp 0) into 1 5.121 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.121 * [taylor]: Taking taylor expansion of 1/3 in N 5.121 * [backup-simplify]: Simplify 1/3 into 1/3 5.121 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.121 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.121 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.121 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [taylor]: Taking taylor expansion of 1 in N 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [taylor]: Taking taylor expansion of 1 in N 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (+ 0 1) into 1 5.122 * [backup-simplify]: Simplify (* 0 1) into 0 5.122 * [backup-simplify]: Simplify (+ 0 1) into 1 5.122 * [backup-simplify]: Simplify (log 1) into 0 5.122 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.123 * [backup-simplify]: Simplify (+ 1 0) into 1 5.123 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.124 * [backup-simplify]: Simplify (+ 1 0) into 1 5.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.125 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.125 * [backup-simplify]: Simplify (exp 0) into 1 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.126 * [backup-simplify]: Simplify 1/3 into 1/3 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.127 * [backup-simplify]: Simplify (+ 1 0) into 1 5.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.128 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 5.129 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 5.129 * [backup-simplify]: Simplify 2/9 into 2/9 5.130 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 5.130 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 5.130 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 5.130 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.130 * [taylor]: Taking taylor expansion of 1/3 in N 5.130 * [backup-simplify]: Simplify 1/3 into 1/3 5.130 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.130 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.130 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.130 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.130 * [taylor]: Taking taylor expansion of N in N 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (/ 1 1) into 1 5.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.130 * [taylor]: Taking taylor expansion of N in N 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (/ 1 1) into 1 5.131 * [taylor]: Taking taylor expansion of 1 in N 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [taylor]: Taking taylor expansion of 1 in N 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (+ 1 0) into 1 5.131 * [backup-simplify]: Simplify (* 1 1) into 1 5.131 * [backup-simplify]: Simplify (+ 1 0) into 1 5.132 * [backup-simplify]: Simplify (log 1) into 0 5.132 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.132 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.132 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.132 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.132 * [taylor]: Taking taylor expansion of 1/3 in N 5.132 * [backup-simplify]: Simplify 1/3 into 1/3 5.132 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.132 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.132 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.132 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.132 * [taylor]: Taking taylor expansion of N in N 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (/ 1 1) into 1 5.132 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.133 * [taylor]: Taking taylor expansion of N in N 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (/ 1 1) into 1 5.133 * [taylor]: Taking taylor expansion of 1 in N 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [taylor]: Taking taylor expansion of 1 in N 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (+ 1 0) into 1 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.134 * [backup-simplify]: Simplify (+ 1 0) into 1 5.134 * [backup-simplify]: Simplify (log 1) into 0 5.134 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.134 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.134 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.134 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.135 * [backup-simplify]: Simplify (+ 0 1) into 1 5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 5.136 * [backup-simplify]: Simplify (+ 1 0) into 1 5.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.137 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.138 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.138 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.138 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 5.140 * [backup-simplify]: Simplify (+ 0 1) into 1 5.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.142 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.143 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 5.143 * [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)) 5.143 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.144 * [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)))) 5.144 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 5.144 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 5.144 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.144 * [taylor]: Taking taylor expansion of 1/3 in N 5.144 * [backup-simplify]: Simplify 1/3 into 1/3 5.144 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.144 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.144 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.144 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.144 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.144 * [taylor]: Taking taylor expansion of -1 in N 5.144 * [backup-simplify]: Simplify -1 into -1 5.144 * [taylor]: Taking taylor expansion of N in N 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (/ -1 1) into -1 5.145 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.145 * [taylor]: Taking taylor expansion of 1 in N 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.145 * [taylor]: Taking taylor expansion of N in N 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (/ 1 1) into 1 5.145 * [taylor]: Taking taylor expansion of 1 in N 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (- 1) into -1 5.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.146 * [backup-simplify]: Simplify (* -1 -1) into 1 5.146 * [backup-simplify]: Simplify (+ 1 0) into 1 5.146 * [backup-simplify]: Simplify (log 1) into 0 5.146 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.146 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.146 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.147 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.147 * [taylor]: Taking taylor expansion of 1/3 in N 5.147 * [backup-simplify]: Simplify 1/3 into 1/3 5.147 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.147 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.147 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.147 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.147 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.147 * [taylor]: Taking taylor expansion of -1 in N 5.147 * [backup-simplify]: Simplify -1 into -1 5.147 * [taylor]: Taking taylor expansion of N in N 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [backup-simplify]: Simplify (/ -1 1) into -1 5.147 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.147 * [taylor]: Taking taylor expansion of 1 in N 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.147 * [taylor]: Taking taylor expansion of N in N 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [backup-simplify]: Simplify (/ 1 1) into 1 5.147 * [taylor]: Taking taylor expansion of 1 in N 5.147 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (- 1) into -1 5.148 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.148 * [backup-simplify]: Simplify (* -1 -1) into 1 5.148 * [backup-simplify]: Simplify (+ 1 0) into 1 5.149 * [backup-simplify]: Simplify (log 1) into 0 5.149 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.149 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.149 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.149 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (- 0) into 0 5.152 * [backup-simplify]: Simplify (+ 1 0) into 1 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 5.154 * [backup-simplify]: Simplify (+ -1 0) into -1 5.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.155 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.155 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 5.156 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.156 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (- 0) into 0 5.157 * [backup-simplify]: Simplify (+ 0 0) into 0 5.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 5.158 * [backup-simplify]: Simplify (+ 0 1) into 1 5.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.161 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.162 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 5.163 * [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)) 5.163 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.164 * [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)))) 5.164 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 5.164 * [backup-simplify]: Simplify (cbrt (fma N (+ N 1) 1)) into (pow (fma N (+ N 1) 1) 1/3) 5.164 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in (N) around 0 5.164 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.165 * [taylor]: Taking taylor expansion of 1/3 in N 5.165 * [backup-simplify]: Simplify 1/3 into 1/3 5.165 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.165 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.165 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.165 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.165 * [taylor]: Taking taylor expansion of N in N 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.165 * [taylor]: Taking taylor expansion of N in N 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [taylor]: Taking taylor expansion of 1 in N 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [taylor]: Taking taylor expansion of 1 in N 5.165 * [backup-simplify]: Simplify 1 into 1 5.166 * [backup-simplify]: Simplify (+ 0 1) into 1 5.166 * [backup-simplify]: Simplify (* 0 1) into 0 5.166 * [backup-simplify]: Simplify (+ 0 1) into 1 5.167 * [backup-simplify]: Simplify (log 1) into 0 5.167 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.168 * [backup-simplify]: Simplify (+ 1 0) into 1 5.169 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.169 * [backup-simplify]: Simplify (+ 1 0) into 1 5.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.171 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.171 * [backup-simplify]: Simplify (exp 0) into 1 5.171 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1) 1) 1/3) in N 5.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N 5.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N 5.171 * [taylor]: Taking taylor expansion of 1/3 in N 5.171 * [backup-simplify]: Simplify 1/3 into 1/3 5.171 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1) 1)) in N 5.171 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 5.171 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 5.171 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.171 * [taylor]: Taking taylor expansion of N in N 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.171 * [taylor]: Taking taylor expansion of N in N 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [taylor]: Taking taylor expansion of 1 in N 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [taylor]: Taking taylor expansion of 1 in N 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (+ 0 1) into 1 5.172 * [backup-simplify]: Simplify (* 0 1) into 0 5.173 * [backup-simplify]: Simplify (+ 0 1) into 1 5.173 * [backup-simplify]: Simplify (log 1) into 0 5.174 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.174 * [backup-simplify]: Simplify (+ 1 0) into 1 5.175 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.175 * [backup-simplify]: Simplify (+ 1 0) into 1 5.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.177 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.177 * [backup-simplify]: Simplify (exp 0) into 1 5.177 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.178 * [backup-simplify]: Simplify 1/3 into 1/3 5.179 * [backup-simplify]: Simplify (+ 0 0) into 0 5.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.180 * [backup-simplify]: Simplify (+ 1 0) into 1 5.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.184 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 5.186 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 5.186 * [backup-simplify]: Simplify 2/9 into 2/9 5.186 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 5.186 * [backup-simplify]: Simplify (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) 5.186 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in (N) around 0 5.186 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.187 * [taylor]: Taking taylor expansion of 1/3 in N 5.187 * [backup-simplify]: Simplify 1/3 into 1/3 5.187 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.187 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.187 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.187 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.187 * [taylor]: Taking taylor expansion of N in N 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.187 * [taylor]: Taking taylor expansion of N in N 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify (/ 1 1) into 1 5.188 * [taylor]: Taking taylor expansion of 1 in N 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of 1 in N 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (+ 1 0) into 1 5.190 * [backup-simplify]: Simplify (log 1) into 0 5.190 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.190 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.190 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.190 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3) in N 5.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N 5.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.191 * [taylor]: Taking taylor expansion of 1/3 in N 5.191 * [backup-simplify]: Simplify 1/3 into 1/3 5.191 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.191 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 5.191 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 5.191 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 5.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.191 * [taylor]: Taking taylor expansion of N in N 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify (/ 1 1) into 1 5.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.191 * [taylor]: Taking taylor expansion of N in N 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (/ 1 1) into 1 5.192 * [taylor]: Taking taylor expansion of 1 in N 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of 1 in N 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (+ 1 0) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.193 * [backup-simplify]: Simplify (+ 1 0) into 1 5.194 * [backup-simplify]: Simplify (log 1) into 0 5.194 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.194 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.194 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.195 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ 0 1) into 1 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 5.198 * [backup-simplify]: Simplify (+ 1 0) into 1 5.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.199 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.200 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.201 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.201 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 5.205 * [backup-simplify]: Simplify (+ 0 1) into 1 5.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.208 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.209 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 5.209 * [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)) 5.210 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.210 * [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)))) 5.210 * [backup-simplify]: Simplify (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) 5.210 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in (N) around 0 5.210 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.210 * [taylor]: Taking taylor expansion of 1/3 in N 5.210 * [backup-simplify]: Simplify 1/3 into 1/3 5.210 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.210 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.210 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.210 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.210 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.210 * [taylor]: Taking taylor expansion of -1 in N 5.210 * [backup-simplify]: Simplify -1 into -1 5.210 * [taylor]: Taking taylor expansion of N in N 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ -1 1) into -1 5.211 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.211 * [taylor]: Taking taylor expansion of 1 in N 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.211 * [taylor]: Taking taylor expansion of N in N 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [taylor]: Taking taylor expansion of 1 in N 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (- 1) into -1 5.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.212 * [backup-simplify]: Simplify (* -1 -1) into 1 5.212 * [backup-simplify]: Simplify (+ 1 0) into 1 5.212 * [backup-simplify]: Simplify (log 1) into 0 5.213 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.213 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.213 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.213 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1/3) in N 5.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) in N 5.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.213 * [taylor]: Taking taylor expansion of 1/3 in N 5.213 * [backup-simplify]: Simplify 1/3 into 1/3 5.213 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.213 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 5.213 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 5.213 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 5.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.213 * [taylor]: Taking taylor expansion of -1 in N 5.213 * [backup-simplify]: Simplify -1 into -1 5.213 * [taylor]: Taking taylor expansion of N in N 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (/ -1 1) into -1 5.213 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.213 * [taylor]: Taking taylor expansion of 1 in N 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.213 * [taylor]: Taking taylor expansion of N in N 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1 1) into 1 5.214 * [taylor]: Taking taylor expansion of 1 in N 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (- 1) into -1 5.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.215 * [backup-simplify]: Simplify (* -1 -1) into 1 5.215 * [backup-simplify]: Simplify (+ 1 0) into 1 5.215 * [backup-simplify]: Simplify (log 1) into 0 5.216 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.216 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.216 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.216 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.217 * [backup-simplify]: Simplify (- 0) into 0 5.217 * [backup-simplify]: Simplify (+ 1 0) into 1 5.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 5.218 * [backup-simplify]: Simplify (+ -1 0) into -1 5.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.219 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.219 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 5.220 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.220 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (- 0) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 5.222 * [backup-simplify]: Simplify (+ 0 1) into 1 5.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.224 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.225 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 5.226 * [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)) 5.226 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 5.226 * [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)))) 5.226 * * * [progress]: simplifying candidates 5.226 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 5.226 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 5.226 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 5.226 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 5.227 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 5.227 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 5.227 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 5.227 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 5.227 * * [simplify]: iters left: 6 (7 enodes) 5.229 * * [simplify]: iters left: 5 (26 enodes) 5.233 * * [simplify]: iters left: 4 (39 enodes) 5.243 * * [simplify]: iters left: 3 (46 enodes) 5.254 * * [simplify]: Extracting #0: cost 1 inf + 0 5.254 * * [simplify]: Extracting #1: cost 3 inf + 0 5.254 * * [simplify]: Extracting #2: cost 5 inf + 0 5.254 * * [simplify]: Extracting #3: cost 7 inf + 0 5.254 * * [simplify]: Extracting #4: cost 12 inf + 0 5.254 * * [simplify]: Extracting #5: cost 13 inf + 2 5.254 * * [simplify]: Extracting #6: cost 8 inf + 377 5.255 * * [simplify]: Extracting #7: cost 4 inf + 868 5.255 * * [simplify]: Extracting #8: cost 1 inf + 1559 5.256 * * [simplify]: Extracting #9: cost 0 inf + 1856 5.257 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 5.257 * [simplify]: Simplified (2 2 2 1) 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 (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))))))) 5.257 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 5.257 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 5.257 * * [simplify]: iters left: 5 (6 enodes) 5.261 * * [simplify]: iters left: 4 (23 enodes) 5.269 * * [simplify]: iters left: 3 (36 enodes) 5.283 * * [simplify]: iters left: 2 (43 enodes) 5.294 * * [simplify]: Extracting #0: cost 1 inf + 0 5.294 * * [simplify]: Extracting #1: cost 3 inf + 0 5.294 * * [simplify]: Extracting #2: cost 5 inf + 0 5.294 * * [simplify]: Extracting #3: cost 10 inf + 0 5.294 * * [simplify]: Extracting #4: cost 10 inf + 44 5.294 * * [simplify]: Extracting #5: cost 6 inf + 336 5.295 * * [simplify]: Extracting #6: cost 1 inf + 965 5.295 * * [simplify]: Extracting #7: cost 0 inf + 1182 5.296 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 5.296 * [simplify]: Simplified (2 2 2 1) 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 (fma N (+ N 1) 1))))) (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1))))))) 5.296 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 5.296 * [simplify]: Simplifying (cbrt 1) 5.296 * * [simplify]: iters left: 1 (2 enodes) 5.298 * * [simplify]: Extracting #0: cost 1 inf + 0 5.298 * * [simplify]: Extracting #1: cost 0 inf + 1 5.298 * [simplify]: Simplified to 1 5.298 * [simplify]: Simplified (2 2 2 1) 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 (fma N (+ N 1) 1))))) (* 1 (cbrt (fma N (+ N 1) 1)))))) 5.298 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 5.298 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 5.298 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 5.298 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 5.298 * * * * [progress]: [ 14 / 68 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ N 1) 1)))))))> 5.299 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 5.299 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 5.299 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 5.299 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 5.299 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 5.299 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 5.299 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 5.299 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 5.299 * * [simplify]: iters left: 6 (7 enodes) 5.301 * * [simplify]: iters left: 5 (26 enodes) 5.305 * * [simplify]: iters left: 4 (39 enodes) 5.311 * * [simplify]: iters left: 3 (46 enodes) 5.318 * * [simplify]: Extracting #0: cost 1 inf + 0 5.318 * * [simplify]: Extracting #1: cost 3 inf + 0 5.318 * * [simplify]: Extracting #2: cost 5 inf + 0 5.318 * * [simplify]: Extracting #3: cost 7 inf + 0 5.318 * * [simplify]: Extracting #4: cost 12 inf + 0 5.318 * * [simplify]: Extracting #5: cost 13 inf + 2 5.318 * * [simplify]: Extracting #6: cost 8 inf + 377 5.318 * * [simplify]: Extracting #7: cost 4 inf + 868 5.319 * * [simplify]: Extracting #8: cost 1 inf + 1559 5.319 * * [simplify]: Extracting #9: cost 0 inf + 1856 5.319 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 5.319 * [simplify]: Simplified (2 2 1 2 2 1 1) 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 (* (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))))) 5.320 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 5.320 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 5.320 * * [simplify]: iters left: 5 (6 enodes) 5.322 * * [simplify]: iters left: 4 (23 enodes) 5.325 * * [simplify]: iters left: 3 (36 enodes) 5.332 * * [simplify]: iters left: 2 (43 enodes) 5.341 * * [simplify]: Extracting #0: cost 1 inf + 0 5.341 * * [simplify]: Extracting #1: cost 3 inf + 0 5.341 * * [simplify]: Extracting #2: cost 5 inf + 0 5.341 * * [simplify]: Extracting #3: cost 10 inf + 0 5.341 * * [simplify]: Extracting #4: cost 10 inf + 44 5.342 * * [simplify]: Extracting #5: cost 6 inf + 336 5.342 * * [simplify]: Extracting #6: cost 1 inf + 965 5.342 * * [simplify]: Extracting #7: cost 0 inf + 1182 5.342 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 5.342 * [simplify]: Simplified (2 2 1 2 2 1 1) 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 (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1))))) 5.342 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 5.343 * [simplify]: Simplifying (cbrt 1) 5.343 * * [simplify]: iters left: 1 (2 enodes) 5.345 * * [simplify]: Extracting #0: cost 1 inf + 0 5.345 * * [simplify]: Extracting #1: cost 0 inf + 1 5.345 * [simplify]: Simplified to 1 5.345 * [simplify]: Simplified (2 2 1 2 2 1 1) 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 (* 1 (cbrt (fma N (+ N 1) 1)))))) (cbrt (fma N (+ N 1) 1))))) 5.345 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ N 1) 1))))))) (cbrt (fma N (+ N 1) 1)))))> 5.345 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 5.345 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 5.345 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 5.346 * * [simplify]: iters left: 6 (7 enodes) 5.347 * * [simplify]: iters left: 5 (26 enodes) 5.351 * * [simplify]: iters left: 4 (39 enodes) 5.358 * * [simplify]: iters left: 3 (46 enodes) 5.364 * * [simplify]: Extracting #0: cost 1 inf + 0 5.364 * * [simplify]: Extracting #1: cost 3 inf + 0 5.364 * * [simplify]: Extracting #2: cost 5 inf + 0 5.364 * * [simplify]: Extracting #3: cost 7 inf + 0 5.364 * * [simplify]: Extracting #4: cost 12 inf + 0 5.364 * * [simplify]: Extracting #5: cost 13 inf + 2 5.364 * * [simplify]: Extracting #6: cost 8 inf + 377 5.364 * * [simplify]: Extracting #7: cost 4 inf + 868 5.364 * * [simplify]: Extracting #8: cost 1 inf + 1559 5.365 * * [simplify]: Extracting #9: cost 0 inf + 1856 5.365 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 5.365 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (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 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 5.365 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 5.365 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 5.365 * * [simplify]: iters left: 5 (6 enodes) 5.367 * * [simplify]: iters left: 4 (23 enodes) 5.371 * * [simplify]: iters left: 3 (36 enodes) 5.380 * * [simplify]: iters left: 2 (43 enodes) 5.385 * * [simplify]: Extracting #0: cost 1 inf + 0 5.385 * * [simplify]: Extracting #1: cost 3 inf + 0 5.385 * * [simplify]: Extracting #2: cost 5 inf + 0 5.385 * * [simplify]: Extracting #3: cost 10 inf + 0 5.385 * * [simplify]: Extracting #4: cost 10 inf + 44 5.385 * * [simplify]: Extracting #5: cost 6 inf + 336 5.385 * * [simplify]: Extracting #6: cost 1 inf + 965 5.386 * * [simplify]: Extracting #7: cost 0 inf + 1182 5.386 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 5.386 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1)))))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 5.386 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 5.386 * [simplify]: Simplifying (cbrt 1) 5.386 * * [simplify]: iters left: 1 (2 enodes) 5.388 * * [simplify]: Extracting #0: cost 1 inf + 0 5.388 * * [simplify]: Extracting #1: cost 0 inf + 1 5.388 * [simplify]: Simplified to 1 5.388 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (* 1 (cbrt (fma N (+ N 1) 1))))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 5.389 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 42 / 68 ] simplifiying candidate #real (real->posit16 (cbrt (fma N (+ N 1) 1)))))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))> 5.389 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 5.389 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 5.389 * [simplify]: Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) 5.389 * * [simplify]: iters left: 6 (7 enodes) 5.391 * * [simplify]: iters left: 5 (26 enodes) 5.395 * * [simplify]: iters left: 4 (39 enodes) 5.402 * * [simplify]: iters left: 3 (46 enodes) 5.407 * * [simplify]: Extracting #0: cost 1 inf + 0 5.408 * * [simplify]: Extracting #1: cost 3 inf + 0 5.408 * * [simplify]: Extracting #2: cost 5 inf + 0 5.408 * * [simplify]: Extracting #3: cost 7 inf + 0 5.408 * * [simplify]: Extracting #4: cost 12 inf + 0 5.408 * * [simplify]: Extracting #5: cost 13 inf + 2 5.408 * * [simplify]: Extracting #6: cost 8 inf + 377 5.408 * * [simplify]: Extracting #7: cost 4 inf + 868 5.408 * * [simplify]: Extracting #8: cost 1 inf + 1559 5.409 * * [simplify]: Extracting #9: cost 0 inf + 1856 5.409 * [simplify]: Simplified to (cbrt (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1)))) 5.409 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (* (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 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 5.409 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 5.409 * [simplify]: Simplifying (cbrt (sqrt (fma N (+ N 1) 1))) 5.409 * * [simplify]: iters left: 5 (6 enodes) 5.411 * * [simplify]: iters left: 4 (23 enodes) 5.415 * * [simplify]: iters left: 3 (36 enodes) 5.422 * * [simplify]: iters left: 2 (43 enodes) 5.427 * * [simplify]: Extracting #0: cost 1 inf + 0 5.427 * * [simplify]: Extracting #1: cost 3 inf + 0 5.427 * * [simplify]: Extracting #2: cost 5 inf + 0 5.427 * * [simplify]: Extracting #3: cost 10 inf + 0 5.427 * * [simplify]: Extracting #4: cost 10 inf + 44 5.427 * * [simplify]: Extracting #5: cost 6 inf + 336 5.427 * * [simplify]: Extracting #6: cost 1 inf + 965 5.428 * * [simplify]: Extracting #7: cost 0 inf + 1182 5.428 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (fma N N N)))) 5.428 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (* (cbrt (sqrt (+ 1 (fma N N N)))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 5.428 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 5.428 * [simplify]: Simplifying (cbrt 1) 5.428 * * [simplify]: iters left: 1 (2 enodes) 5.430 * * [simplify]: Extracting #0: cost 1 inf + 0 5.430 * * [simplify]: Extracting #1: cost 0 inf + 1 5.430 * [simplify]: Simplified to 1 5.430 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (* 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))))) 5.430 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 5.430 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 5.430 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 5.430 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 5.430 * * * * [progress]: [ 56 / 68 ] simplifiying candidate #real (real->posit16 (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)))))> 5.430 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 5.431 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 5.431 * * [simplify]: iters left: 6 (10 enodes) 5.435 * * [simplify]: iters left: 5 (44 enodes) 5.442 * * [simplify]: iters left: 4 (62 enodes) 5.453 * * [simplify]: iters left: 3 (90 enodes) 5.467 * * [simplify]: iters left: 2 (112 enodes) 5.497 * * [simplify]: iters left: 1 (124 enodes) 5.520 * * [simplify]: Extracting #0: cost 1 inf + 0 5.520 * * [simplify]: Extracting #1: cost 14 inf + 0 5.521 * * [simplify]: Extracting #2: cost 17 inf + 87 5.522 * * [simplify]: Extracting #3: cost 4 inf + 943 5.523 * * [simplify]: Extracting #4: cost 0 inf + 1271 5.524 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 5.524 * [simplify]: Simplified (2 2 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 (fma N (+ N 1) 1))))) (fma N (fma N 2/9 1/3) 1)))) 5.524 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 5.524 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 5.524 * * [simplify]: iters left: 6 (16 enodes) 5.536 * * [simplify]: iters left: 5 (73 enodes) 5.560 * * [simplify]: iters left: 4 (144 enodes) 5.598 * * [simplify]: iters left: 3 (279 enodes) 5.652 * * [simplify]: Extracting #0: cost 1 inf + 0 5.652 * * [simplify]: Extracting #1: cost 23 inf + 0 5.652 * * [simplify]: Extracting #2: cost 76 inf + 2 5.652 * * [simplify]: Extracting #3: cost 97 inf + 8 5.653 * * [simplify]: Extracting #4: cost 88 inf + 2817 5.654 * * [simplify]: Extracting #5: cost 50 inf + 14443 5.659 * * [simplify]: Extracting #6: cost 18 inf + 26768 5.664 * * [simplify]: Extracting #7: cost 0 inf + 36432 5.668 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 5.668 * [simplify]: Simplified (2 2 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 (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)))))) 5.668 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 5.669 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 5.669 * * [simplify]: iters left: 6 (18 enodes) 5.675 * * [simplify]: iters left: 5 (79 enodes) 5.692 * * [simplify]: iters left: 4 (150 enodes) 5.726 * * [simplify]: iters left: 3 (285 enodes) 5.795 * * [simplify]: Extracting #0: cost 1 inf + 0 5.795 * * [simplify]: Extracting #1: cost 23 inf + 0 5.796 * * [simplify]: Extracting #2: cost 78 inf + 2 5.797 * * [simplify]: Extracting #3: cost 101 inf + 8 5.798 * * [simplify]: Extracting #4: cost 95 inf + 1133 5.801 * * [simplify]: Extracting #5: cost 38 inf + 18588 5.805 * * [simplify]: Extracting #6: cost 2 inf + 37269 5.811 * * [simplify]: Extracting #7: cost 0 inf + 37268 5.815 * * [simplify]: Extracting #8: cost 0 inf + 37228 5.820 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 5.820 * [simplify]: Simplified (2 2 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 (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)))))) 5.820 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 5.821 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 5.821 * * [simplify]: iters left: 6 (10 enodes) 5.825 * * [simplify]: iters left: 5 (44 enodes) 5.835 * * [simplify]: iters left: 4 (62 enodes) 5.845 * * [simplify]: iters left: 3 (90 enodes) 5.857 * * [simplify]: iters left: 2 (112 enodes) 5.882 * * [simplify]: iters left: 1 (124 enodes) 5.898 * * [simplify]: Extracting #0: cost 1 inf + 0 5.899 * * [simplify]: Extracting #1: cost 14 inf + 0 5.899 * * [simplify]: Extracting #2: cost 17 inf + 87 5.899 * * [simplify]: Extracting #3: cost 4 inf + 943 5.900 * * [simplify]: Extracting #4: cost 0 inf + 1271 5.900 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 5.900 * [simplify]: Simplified (2 2 1 2 2 1) 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 (fma N (fma N 2/9 1/3) 1)))) (cbrt (fma N (+ N 1) 1))))) 5.900 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 5.900 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 5.901 * * [simplify]: iters left: 6 (16 enodes) 5.906 * * [simplify]: iters left: 5 (73 enodes) 5.933 * * [simplify]: iters left: 4 (144 enodes) 5.966 * * [simplify]: iters left: 3 (279 enodes) 6.037 * * [simplify]: Extracting #0: cost 1 inf + 0 6.037 * * [simplify]: Extracting #1: cost 23 inf + 0 6.037 * * [simplify]: Extracting #2: cost 76 inf + 2 6.037 * * [simplify]: Extracting #3: cost 97 inf + 8 6.038 * * [simplify]: Extracting #4: cost 88 inf + 2817 6.039 * * [simplify]: Extracting #5: cost 50 inf + 14443 6.042 * * [simplify]: Extracting #6: cost 18 inf + 26768 6.046 * * [simplify]: Extracting #7: cost 0 inf + 36432 6.051 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 6.051 * [simplify]: Simplified (2 2 1 2 2 1) 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 (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))))) 6.051 * * * * [progress]: [ 62 / 68 ] simplifiying candidate # 6.051 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 6.051 * * [simplify]: iters left: 6 (18 enodes) 6.059 * * [simplify]: iters left: 5 (79 enodes) 6.078 * * [simplify]: iters left: 4 (150 enodes) 6.115 * * [simplify]: iters left: 3 (285 enodes) 6.186 * * [simplify]: Extracting #0: cost 1 inf + 0 6.186 * * [simplify]: Extracting #1: cost 23 inf + 0 6.186 * * [simplify]: Extracting #2: cost 78 inf + 2 6.187 * * [simplify]: Extracting #3: cost 101 inf + 8 6.188 * * [simplify]: Extracting #4: cost 95 inf + 1133 6.192 * * [simplify]: Extracting #5: cost 38 inf + 18588 6.201 * * [simplify]: Extracting #6: cost 2 inf + 37269 6.212 * * [simplify]: Extracting #7: cost 0 inf + 37268 6.217 * * [simplify]: Extracting #8: cost 0 inf + 37228 6.222 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 6.222 * [simplify]: Simplified (2 2 1 2 2 1) 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 (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))))) 6.222 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 6.223 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 6.223 * * [simplify]: iters left: 6 (10 enodes) 6.226 * * [simplify]: iters left: 5 (44 enodes) 6.234 * * [simplify]: iters left: 4 (62 enodes) 6.244 * * [simplify]: iters left: 3 (90 enodes) 6.264 * * [simplify]: iters left: 2 (112 enodes) 6.279 * * [simplify]: iters left: 1 (124 enodes) 6.293 * * [simplify]: Extracting #0: cost 1 inf + 0 6.293 * * [simplify]: Extracting #1: cost 14 inf + 0 6.293 * * [simplify]: Extracting #2: cost 17 inf + 87 6.294 * * [simplify]: Extracting #3: cost 4 inf + 943 6.296 * * [simplify]: Extracting #4: cost 0 inf + 1271 6.297 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 6.297 * [simplify]: Simplified (2 2 1 2 1 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (fma N (fma N 2/9 1/3) 1))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 6.297 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 6.297 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 6.297 * * [simplify]: iters left: 6 (16 enodes) 6.304 * * [simplify]: iters left: 5 (73 enodes) 6.320 * * [simplify]: iters left: 4 (144 enodes) 6.368 * * [simplify]: iters left: 3 (279 enodes) 6.428 * * [simplify]: Extracting #0: cost 1 inf + 0 6.428 * * [simplify]: Extracting #1: cost 23 inf + 0 6.429 * * [simplify]: Extracting #2: cost 76 inf + 2 6.429 * * [simplify]: Extracting #3: cost 97 inf + 8 6.430 * * [simplify]: Extracting #4: cost 88 inf + 2817 6.431 * * [simplify]: Extracting #5: cost 50 inf + 14443 6.434 * * [simplify]: Extracting #6: cost 18 inf + 26768 6.438 * * [simplify]: Extracting #7: cost 0 inf + 36432 6.443 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 6.443 * [simplify]: Simplified (2 2 1 2 1 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (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 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 6.443 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 6.443 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 6.443 * * [simplify]: iters left: 6 (18 enodes) 6.450 * * [simplify]: iters left: 5 (79 enodes) 6.473 * * [simplify]: iters left: 4 (150 enodes) 6.512 * * [simplify]: iters left: 3 (285 enodes) 6.594 * * [simplify]: Extracting #0: cost 1 inf + 0 6.595 * * [simplify]: Extracting #1: cost 23 inf + 0 6.595 * * [simplify]: Extracting #2: cost 78 inf + 2 6.595 * * [simplify]: Extracting #3: cost 101 inf + 8 6.596 * * [simplify]: Extracting #4: cost 95 inf + 1133 6.600 * * [simplify]: Extracting #5: cost 38 inf + 18588 6.608 * * [simplify]: Extracting #6: cost 2 inf + 37269 6.613 * * [simplify]: Extracting #7: cost 0 inf + 37268 6.618 * * [simplify]: Extracting #8: cost 0 inf + 37228 6.622 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 6.622 * [simplify]: Simplified (2 2 1 2 1 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (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 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 6.623 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 6.623 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 6.623 * * [simplify]: iters left: 6 (10 enodes) 6.627 * * [simplify]: iters left: 5 (44 enodes) 6.634 * * [simplify]: iters left: 4 (62 enodes) 6.644 * * [simplify]: iters left: 3 (90 enodes) 6.656 * * [simplify]: iters left: 2 (112 enodes) 6.684 * * [simplify]: iters left: 1 (124 enodes) 6.696 * * [simplify]: Extracting #0: cost 1 inf + 0 6.696 * * [simplify]: Extracting #1: cost 14 inf + 0 6.696 * * [simplify]: Extracting #2: cost 17 inf + 87 6.696 * * [simplify]: Extracting #3: cost 4 inf + 943 6.697 * * [simplify]: Extracting #4: cost 0 inf + 1271 6.697 * [simplify]: Simplified to (fma N (fma N 2/9 1/3) 1) 6.697 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (fma N (fma N 2/9 1/3) 1) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 6.698 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 6.698 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 6.698 * * [simplify]: iters left: 6 (16 enodes) 6.705 * * [simplify]: iters left: 5 (73 enodes) 6.722 * * [simplify]: iters left: 4 (144 enodes) 6.760 * * [simplify]: iters left: 3 (279 enodes) 6.826 * * [simplify]: Extracting #0: cost 1 inf + 0 6.826 * * [simplify]: Extracting #1: cost 23 inf + 0 6.826 * * [simplify]: Extracting #2: cost 76 inf + 2 6.826 * * [simplify]: Extracting #3: cost 97 inf + 8 6.827 * * [simplify]: Extracting #4: cost 88 inf + 2817 6.830 * * [simplify]: Extracting #5: cost 50 inf + 14443 6.835 * * [simplify]: Extracting #6: cost 18 inf + 26768 6.844 * * [simplify]: Extracting #7: cost 0 inf + 36432 6.853 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ 1 (* (* N N) (* N N)))) (pow (/ 1 N) -2/3))) 6.854 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (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 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 6.854 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 6.854 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 6.854 * * [simplify]: iters left: 6 (18 enodes) 6.864 * * [simplify]: iters left: 5 (79 enodes) 6.880 * * [simplify]: iters left: 4 (150 enodes) 6.931 * * [simplify]: iters left: 3 (285 enodes) 7.011 * * [simplify]: Extracting #0: cost 1 inf + 0 7.011 * * [simplify]: Extracting #1: cost 23 inf + 0 7.011 * * [simplify]: Extracting #2: cost 78 inf + 2 7.012 * * [simplify]: Extracting #3: cost 101 inf + 8 7.012 * * [simplify]: Extracting #4: cost 95 inf + 1133 7.014 * * [simplify]: Extracting #5: cost 38 inf + 18588 7.019 * * [simplify]: Extracting #6: cost 2 inf + 37269 7.023 * * [simplify]: Extracting #7: cost 0 inf + 37268 7.028 * * [simplify]: Extracting #8: cost 0 inf + 37228 7.033 * [simplify]: Simplified to (fma (cbrt (/ 1 N)) 1/3 (fma 2/9 (cbrt (/ (/ (/ 1 N) N) (* N N))) (pow (/ -1 N) -2/3))) 7.033 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (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 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1))))) 7.033 * * * [progress]: adding candidates to table 7.851 * [progress]: [Phase 3 of 3] Extracting. 7.852 * * [regime]: Finding splitpoints for: (# # # # # # #) 7.852 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.852 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 7.904 * * * [regime]: Found split indices: #