19.727 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.050 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.050 * * [simplify]: iteration 0: 6 enodes 0.052 * * [simplify]: iteration 1: 11 enodes 0.055 * * [simplify]: iteration 2: 12 enodes 0.058 * * [simplify]: iteration complete: 12 enodes 0.058 * * [simplify]: Extracting #0: cost 1 inf + 0 0.058 * * [simplify]: Extracting #1: cost 4 inf + 0 0.058 * * [simplify]: Extracting #2: cost 6 inf + 0 0.058 * * [simplify]: Extracting #3: cost 4 inf + 253 0.058 * * [simplify]: Extracting #4: cost 0 inf + 735 0.058 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.097 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.097 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.098 * [taylor]: Taking taylor expansion of (atan N) in N 0.098 * [backup-simplify]: Simplify (atan N) into (atan N) 0.098 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.098 * [taylor]: Taking taylor expansion of (atan N) in N 0.098 * [backup-simplify]: Simplify (atan N) into (atan N) 0.098 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.098 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.099 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.104 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.104 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.105 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.105 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.105 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.105 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.105 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.105 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.105 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.111 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.111 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.111 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.111 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.111 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.111 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.112 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 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 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [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 (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.117 * * * [progress]: simplifying candidates 0.117 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.118 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.118 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.118 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.118 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.118 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.118 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.118 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.118 * [simplify]: Simplifying: (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 0.119 * * [simplify]: iteration 0: 36 enodes 0.136 * * [simplify]: iteration 1: 73 enodes 0.151 * * [simplify]: iteration 2: 147 enodes 0.196 * * [simplify]: iteration 3: 307 enodes 0.301 * * [simplify]: iteration 4: 692 enodes 0.647 * * [simplify]: iteration 5: 1968 enodes 0.960 * * [simplify]: iteration complete: 2000 enodes 0.960 * * [simplify]: Extracting #0: cost 17 inf + 0 0.961 * * [simplify]: Extracting #1: cost 129 inf + 1 0.963 * * [simplify]: Extracting #2: cost 337 inf + 87 0.968 * * [simplify]: Extracting #3: cost 300 inf + 15692 0.978 * * [simplify]: Extracting #4: cost 129 inf + 75626 0.998 * * [simplify]: Extracting #5: cost 36 inf + 134668 1.029 * * [simplify]: Extracting #6: cost 15 inf + 147520 1.053 * * [simplify]: Extracting #7: cost 1 inf + 156476 1.093 * * [simplify]: Extracting #8: cost 0 inf + 157084 1.115 * [simplify]: Simplified to: 1 (+ (* N N) (+ N 1)) (exp (- (atan (+ N 1)) (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (- (atan (+ N 1)) (atan N)) (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan (+ N 1)) (+ (atan N) (atan (+ N 1)))) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan N) (atan (+ N 1))) (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 1.116 * * * [progress]: adding candidates to table 1.173 * * [progress]: iteration 2 / 4 1.173 * * * [progress]: picking best candidate 1.176 * * * * [pick]: Picked # 1.176 * * * [progress]: localizing error 1.200 * * * [progress]: generating rewritten candidates 1.200 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.200 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.233 * * * [progress]: generating series expansions 1.233 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.233 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.233 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.233 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.234 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.234 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.234 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.234 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.235 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.235 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.235 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.235 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.235 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.235 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.235 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.236 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.236 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.236 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.236 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.236 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.237 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.237 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.237 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.238 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.238 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.238 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.238 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of 1 in N 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.238 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of 1 in N 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (+ 0 1) into 1 1.239 * [backup-simplify]: Simplify (* 1 0) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (+ 1 0) into 1 1.241 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.254 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.254 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (/ 1 1) into 1 1.255 * [taylor]: Taking taylor expansion of 1 in N 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (+ 1 0) into 1 1.256 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (/ 1 1) into 1 1.257 * [taylor]: Taking taylor expansion of 1 in N 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (+ 1 0) into 1 1.258 * [backup-simplify]: Simplify (/ 1 1) into 1 1.258 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 1) into 1 1.260 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.260 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.275 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.275 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.275 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.275 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [backup-simplify]: Simplify -1 into -1 1.275 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.275 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1 in N 1.275 * [backup-simplify]: Simplify 1 into 1 1.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.276 * [taylor]: Taking taylor expansion of N in N 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (/ 1 1) into 1 1.276 * [taylor]: Taking taylor expansion of N in N 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (- 1) into -1 1.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.277 * [backup-simplify]: Simplify (/ -1 1) into -1 1.277 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.277 * [taylor]: Taking taylor expansion of -1 in N 1.277 * [backup-simplify]: Simplify -1 into -1 1.277 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.277 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.278 * [taylor]: Taking taylor expansion of 1 in N 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.278 * [taylor]: Taking taylor expansion of N in N 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [taylor]: Taking taylor expansion of N in N 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (- 1) into -1 1.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.279 * [backup-simplify]: Simplify (/ -1 1) into -1 1.280 * [backup-simplify]: Simplify (* -1 -1) into 1 1.280 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (- 0) into 0 1.281 * [backup-simplify]: Simplify (+ 1 0) into 1 1.282 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.283 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.283 * [backup-simplify]: Simplify -1 into -1 1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (- 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (- 0) into 0 1.297 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1.309 * * * [progress]: simplifying candidates 1.309 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.309 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.309 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.310 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.310 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.310 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 1.311 * * [simplify]: iteration 0: 55 enodes 1.322 * * [simplify]: iteration 1: 121 enodes 1.370 * * [simplify]: iteration 2: 266 enodes 1.479 * * [simplify]: iteration 3: 706 enodes 1.722 * * [simplify]: iteration complete: 2001 enodes 1.722 * * [simplify]: Extracting #0: cost 25 inf + 0 1.723 * * [simplify]: Extracting #1: cost 226 inf + 0 1.726 * * [simplify]: Extracting #2: cost 656 inf + 1431 1.733 * * [simplify]: Extracting #3: cost 563 inf + 16948 1.751 * * [simplify]: Extracting #4: cost 262 inf + 65696 1.788 * * [simplify]: Extracting #5: cost 21 inf + 126069 1.832 * * [simplify]: Extracting #6: cost 0 inf + 131716 1.871 * [simplify]: Simplified to: (log (atan2 1 (+ (* (+ 1 N) N) 1))) (exp (atan2 1 (+ (* (+ 1 N) N) 1))) (* (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1)))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (atan2 1 (+ (* (+ 1 N) N) 1)))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (real->posit16 (atan2 1 (+ (* (+ 1 N) N) 1))) (* (+ 1 N) N) (log (* (+ 1 N) N)) (log (* (+ 1 N) N)) (exp (* (+ 1 N) N)) (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N)) (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N)) (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (* (sqrt N) (sqrt (+ 1 N))) (* (sqrt N) (sqrt (+ 1 N))) (* (* (cbrt N) (cbrt N)) (+ 1 N)) (* (sqrt N) (+ 1 N)) (+ 1 N) (* (cbrt (+ 1 N)) N) (* N (sqrt (+ 1 N))) (* (+ 1 N) N) (* (+ 1 N) N) (+ N (* (* N N) (* N N))) (* N (+ (* N N) -1)) (real->posit16 (* (+ 1 N) N)) (atan2 1 (+ N (+ 1 (* N N)))) (atan2 1 (+ N (+ 1 (* N N)))) (atan2 1 (+ N (+ 1 (* N N)))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 1.873 * * * [progress]: adding candidates to table 1.975 * * [progress]: iteration 3 / 4 1.975 * * * [progress]: picking best candidate 1.992 * * * * [pick]: Picked # 1.992 * * * [progress]: localizing error 2.030 * * * [progress]: generating rewritten candidates 2.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.056 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 2.059 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 2.063 * * * [progress]: generating series expansions 2.063 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.063 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.063 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.063 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.063 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.063 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.063 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.064 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.064 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.064 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.064 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.064 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.064 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.064 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.064 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.065 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.065 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.065 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.065 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.065 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.065 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.065 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.066 * [backup-simplify]: Simplify (* (cbrt (+ N 1)) (cbrt (+ N 1))) into (pow (pow (+ N 1) 2) 1/3) 2.066 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in (N) around 0 2.066 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 2.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 2.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 2.066 * [taylor]: Taking taylor expansion of 1/3 in N 2.066 * [backup-simplify]: Simplify 1/3 into 1/3 2.066 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 2.066 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 2.066 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [taylor]: Taking taylor expansion of 1 in N 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (+ 0 1) into 1 2.067 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (log 1) into 0 2.068 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.068 * [backup-simplify]: Simplify (+ 1 0) into 1 2.068 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.069 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 2.069 * [backup-simplify]: Simplify (exp 0) into 1 2.069 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 2.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 2.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 2.069 * [taylor]: Taking taylor expansion of 1/3 in N 2.069 * [backup-simplify]: Simplify 1/3 into 1/3 2.070 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 2.070 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 2.070 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.070 * [taylor]: Taking taylor expansion of N in N 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of 1 in N 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (+ 0 1) into 1 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (log 1) into 0 2.071 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.071 * [backup-simplify]: Simplify (+ 1 0) into 1 2.071 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.072 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 2.072 * [backup-simplify]: Simplify (exp 0) into 1 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 2.073 * [backup-simplify]: Simplify 2/3 into 2/3 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 2.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 2.076 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 2.077 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 2.077 * [backup-simplify]: Simplify -1/9 into -1/9 2.077 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2))) 2.077 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) into (pow (pow (+ (/ 1 N) 1) 2) 1/3) 2.078 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in (N) around 0 2.078 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 2.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 2.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 2.078 * [taylor]: Taking taylor expansion of 1/3 in N 2.078 * [backup-simplify]: Simplify 1/3 into 1/3 2.078 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 2.078 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.078 * [taylor]: Taking taylor expansion of N in N 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [taylor]: Taking taylor expansion of 1 in N 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (+ 1 0) into 1 2.079 * [backup-simplify]: Simplify (* 1 1) into 1 2.079 * [backup-simplify]: Simplify (log 1) into 0 2.079 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.079 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.079 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.079 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 2.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 2.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 2.079 * [taylor]: Taking taylor expansion of 1/3 in N 2.079 * [backup-simplify]: Simplify 1/3 into 1/3 2.079 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 2.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.079 * [taylor]: Taking taylor expansion of N in N 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of 1 in N 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (+ 1 0) into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (log 1) into 0 2.081 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.081 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.081 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.081 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 1) into 1 2.082 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.083 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.083 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 2.084 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 2.084 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 2.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 2.087 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.088 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 2.089 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 2.089 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 2.090 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 2.090 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) into (pow (pow (- 1 (/ 1 N)) 2) 1/3) 2.090 * [approximate]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in (N) around 0 2.090 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 2.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 2.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 2.090 * [taylor]: Taking taylor expansion of 1/3 in N 2.090 * [backup-simplify]: Simplify 1/3 into 1/3 2.090 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 2.090 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 2.090 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.090 * [taylor]: Taking taylor expansion of 1 in N 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [backup-simplify]: Simplify (- 1) into -1 2.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.091 * [backup-simplify]: Simplify (* -1 -1) into 1 2.091 * [backup-simplify]: Simplify (log 1) into 0 2.092 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.092 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.092 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.092 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 2.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 2.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 2.092 * [taylor]: Taking taylor expansion of 1/3 in N 2.092 * [backup-simplify]: Simplify 1/3 into 1/3 2.092 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 2.092 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 2.092 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.092 * [taylor]: Taking taylor expansion of 1 in N 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.092 * [taylor]: Taking taylor expansion of N in N 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [backup-simplify]: Simplify (- 1) into -1 2.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.093 * [backup-simplify]: Simplify (* -1 -1) into 1 2.093 * [backup-simplify]: Simplify (log 1) into 0 2.093 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.093 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.094 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.094 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify (+ 1 0) into 1 2.095 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 2.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 2.096 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.096 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 2.097 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 2.097 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 2.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 2.101 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.101 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 2.102 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 2.102 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 2.103 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ -1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 2.103 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.103 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.103 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.103 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.103 * [taylor]: Taking taylor expansion of 1/3 in N 2.103 * [backup-simplify]: Simplify 1/3 into 1/3 2.103 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.103 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.103 * [taylor]: Taking taylor expansion of N in N 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [taylor]: Taking taylor expansion of 1 in N 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (+ 0 1) into 1 2.103 * [backup-simplify]: Simplify (log 1) into 0 2.104 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.104 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.105 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.105 * [backup-simplify]: Simplify (exp 0) into 1 2.105 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.105 * [taylor]: Taking taylor expansion of 1/3 in N 2.105 * [backup-simplify]: Simplify 1/3 into 1/3 2.105 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.105 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.105 * [taylor]: Taking taylor expansion of N in N 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [taylor]: Taking taylor expansion of 1 in N 2.105 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (+ 0 1) into 1 2.106 * [backup-simplify]: Simplify (log 1) into 0 2.106 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.106 * [backup-simplify]: Simplify (+ 1 0) into 1 2.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.108 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.108 * [backup-simplify]: Simplify (exp 0) into 1 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.108 * [backup-simplify]: Simplify 1/3 into 1/3 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.111 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.112 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.112 * [backup-simplify]: Simplify -1/9 into -1/9 2.112 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 2.112 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 2.112 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 2.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.112 * [taylor]: Taking taylor expansion of 1/3 in N 2.112 * [backup-simplify]: Simplify 1/3 into 1/3 2.112 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [taylor]: Taking taylor expansion of 1 in N 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (+ 1 0) into 1 2.113 * [backup-simplify]: Simplify (log 1) into 0 2.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.114 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.114 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.114 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.114 * [taylor]: Taking taylor expansion of 1/3 in N 2.114 * [backup-simplify]: Simplify 1/3 into 1/3 2.114 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.114 * [taylor]: Taking taylor expansion of N in N 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [taylor]: Taking taylor expansion of 1 in N 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (+ 1 0) into 1 2.115 * [backup-simplify]: Simplify (log 1) into 0 2.115 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.115 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.115 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.115 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ 0 1) into 1 2.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.117 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.117 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.118 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.118 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.121 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.122 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 2.123 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 2.123 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 2.123 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 2.123 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 2.123 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 2.123 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.123 * [taylor]: Taking taylor expansion of 1/3 in N 2.123 * [backup-simplify]: Simplify 1/3 into 1/3 2.123 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.123 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.123 * [taylor]: Taking taylor expansion of 1 in N 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (- 1) into -1 2.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.124 * [backup-simplify]: Simplify (log -1) into (log -1) 2.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.125 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.126 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.126 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.126 * [taylor]: Taking taylor expansion of 1/3 in N 2.126 * [backup-simplify]: Simplify 1/3 into 1/3 2.126 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.126 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.126 * [taylor]: Taking taylor expansion of 1 in N 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.126 * [taylor]: Taking taylor expansion of N in N 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (/ 1 1) into 1 2.126 * [backup-simplify]: Simplify (- 1) into -1 2.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.127 * [backup-simplify]: Simplify (log -1) into (log -1) 2.127 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.128 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.128 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.128 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.129 * [backup-simplify]: Simplify (+ 1 0) into 1 2.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.131 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.131 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 2.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.135 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.142 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 2.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.145 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.146 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.147 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 2.147 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.147 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.147 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.147 * [taylor]: Taking taylor expansion of 1/3 in N 2.147 * [backup-simplify]: Simplify 1/3 into 1/3 2.147 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.147 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.147 * [taylor]: Taking taylor expansion of N in N 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [taylor]: Taking taylor expansion of 1 in N 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (+ 0 1) into 1 2.148 * [backup-simplify]: Simplify (log 1) into 0 2.148 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.148 * [backup-simplify]: Simplify (+ 1 0) into 1 2.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.149 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.149 * [backup-simplify]: Simplify (exp 0) into 1 2.149 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.149 * [taylor]: Taking taylor expansion of 1/3 in N 2.149 * [backup-simplify]: Simplify 1/3 into 1/3 2.150 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.150 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of 1 in N 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (+ 0 1) into 1 2.150 * [backup-simplify]: Simplify (log 1) into 0 2.150 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.151 * [backup-simplify]: Simplify (+ 1 0) into 1 2.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.152 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.152 * [backup-simplify]: Simplify (exp 0) into 1 2.152 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.153 * [backup-simplify]: Simplify 1/3 into 1/3 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.155 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.156 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.156 * [backup-simplify]: Simplify -1/9 into -1/9 2.156 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 2.156 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 2.156 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 2.156 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.156 * [taylor]: Taking taylor expansion of 1/3 in N 2.156 * [backup-simplify]: Simplify 1/3 into 1/3 2.156 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.156 * [taylor]: Taking taylor expansion of N in N 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [taylor]: Taking taylor expansion of 1 in N 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (+ 1 0) into 1 2.157 * [backup-simplify]: Simplify (log 1) into 0 2.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.158 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.158 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.158 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.158 * [taylor]: Taking taylor expansion of 1/3 in N 2.158 * [backup-simplify]: Simplify 1/3 into 1/3 2.158 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.158 * [taylor]: Taking taylor expansion of N in N 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [taylor]: Taking taylor expansion of 1 in N 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (+ 1 0) into 1 2.159 * [backup-simplify]: Simplify (log 1) into 0 2.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.159 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.159 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.159 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 1) into 1 2.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.161 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.162 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.162 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.165 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 2.166 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 2.166 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 2.167 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 2.167 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 2.167 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 2.167 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.167 * [taylor]: Taking taylor expansion of 1/3 in N 2.167 * [backup-simplify]: Simplify 1/3 into 1/3 2.167 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.167 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.167 * [taylor]: Taking taylor expansion of 1 in N 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.167 * [taylor]: Taking taylor expansion of N in N 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (/ 1 1) into 1 2.167 * [backup-simplify]: Simplify (- 1) into -1 2.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.168 * [backup-simplify]: Simplify (log -1) into (log -1) 2.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.169 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.169 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.169 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.169 * [taylor]: Taking taylor expansion of 1/3 in N 2.169 * [backup-simplify]: Simplify 1/3 into 1/3 2.169 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.169 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.169 * [taylor]: Taking taylor expansion of 1 in N 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.169 * [taylor]: Taking taylor expansion of N in N 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [backup-simplify]: Simplify (- 1) into -1 2.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.170 * [backup-simplify]: Simplify (log -1) into (log -1) 2.171 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.171 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.171 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.172 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (+ 1 0) into 1 2.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.177 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 2.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.179 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.186 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 2.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.189 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.190 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.191 * * * [progress]: simplifying candidates 2.191 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 8 / 104 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))))> 2.191 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 2.191 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 23 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 2.192 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 2.193 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 2.194 * * * * [progress]: [ 61 / 104 ] simplifiying candidate #real (real->posit16 (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (* (cbrt (+ N 1)) N)))))> 2.195 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 2.195 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 77 / 104 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) N)))))> 2.196 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 2.196 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (* (cbrt (+ N 1)) N)))))> 2.197 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 2.197 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 2.199 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (exp (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (* (* (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (+ 1/3 1/3) (+ 1 1) (* (+ N 1) (+ N 1)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (+ 1 1) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (exp (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (+ N 1) (+ N 1)) (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (pow N 3) (pow 1 3)))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (- (* N N) (* 1 1)))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ (pow N 3) (pow 1 3)))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (- (* N N) (* 1 1))) (cbrt (- (* N N) (* 1 1)))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* 1 1) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1)) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (* (cbrt (+ N 1)) (cbrt (sqrt (+ N 1)))) (* (cbrt (+ N 1)) (cbrt 1)) (* (cbrt (+ N 1)) (cbrt 1)) (* (cbrt (+ N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) (* (cbrt (+ N 1)) (sqrt (cbrt (+ N 1)))) (* (cbrt (+ N 1)) 1) (* (cbrt (cbrt (+ N 1))) (cbrt (+ N 1))) (* (cbrt (sqrt (+ N 1))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (cbrt (+ N 1))) (cbrt (+ N 1))) (* (sqrt (cbrt (+ N 1))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3)))) (* (cbrt (+ N 1)) (cbrt (- (* N N) (* 1 1)))) (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ N 1))) (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1))) (real->posit16 (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2))) (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ -1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.202 * * [simplify]: iteration 0: 138 enodes 2.248 * * [simplify]: iteration 1: 307 enodes 2.408 * * [simplify]: iteration 2: 752 enodes 2.813 * * [simplify]: iteration 3: 1688 enodes 3.124 * * [simplify]: iteration complete: 2001 enodes 3.124 * * [simplify]: Extracting #0: cost 53 inf + 0 3.125 * * [simplify]: Extracting #1: cost 174 inf + 3 3.126 * * [simplify]: Extracting #2: cost 328 inf + 1476 3.129 * * [simplify]: Extracting #3: cost 294 inf + 24341 3.141 * * [simplify]: Extracting #4: cost 198 inf + 57427 3.163 * * [simplify]: Extracting #5: cost 125 inf + 80174 3.192 * * [simplify]: Extracting #6: cost 78 inf + 95792 3.209 * * [simplify]: Extracting #7: cost 48 inf + 111766 3.229 * * [simplify]: Extracting #8: cost 24 inf + 122355 3.262 * * [simplify]: Extracting #9: cost 4 inf + 127136 3.289 * * [simplify]: Extracting #10: cost 0 inf + 128147 3.306 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) 2/3 2 (* (+ N 1) (+ N 1)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) 2 (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (exp (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (+ N 1) (+ N 1)) (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (+ N 1) (+ N 1)) (fabs (cbrt (+ N 1))) (fabs (cbrt (+ N 1))) (* (cbrt (+ 1 (* N (* N N)))) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) 1 (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1 (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1 (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1 (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (cbrt (+ N 1)))) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (+ N 1)) (cbrt (+ N 1)) 1 (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (sqrt (cbrt (+ N 1)))) (cbrt (+ N 1)) (cbrt (+ N 1)) 2/3 2 (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (sqrt (+ N 1)))) (cbrt (+ N 1)) (cbrt (+ N 1)) (* (* (cbrt (+ N 1)) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (cbrt (+ N 1))) (cbrt (+ N 1)) (* (cbrt (+ N 1)) (cbrt (cbrt (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (sqrt (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (cbrt (+ N 1)))) (* (sqrt (cbrt (+ N 1))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (real->posit16 (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) 1 (cbrt (+ N 1)) 1 (cbrt (+ N 1)) (cbrt (+ 1 (* N (* N N)))) (cbrt (+ (* N N) (- 1 N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (+ N 1) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) 1 (cbrt (+ N 1)) 1 (cbrt (+ N 1)) (cbrt (+ 1 (* N (* N N)))) (cbrt (+ (* N N) (- 1 N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (+ N 1) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (+ (* N (- 2/3 (* 1/9 N))) 1) (+ (* (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/9) (+ (* 2/3 (cbrt (/ 1 N))) (pow (/ 1 N) -2/3))) (+ (* 2/3 (cbrt (/ 1 N))) (+ (pow (/ -1 N) -2/3) (* (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/9))) (+ 1 (* N (- 1/3 (* 1/9 N)))) (+ (* (cbrt (/ 1 (pow N 5))) -1/9) (+ (* (cbrt (/ (/ 1 N) N)) 1/3) (pow (/ 1 N) -1/3))) (- (+ (exp (* 1/3 (log N))) (* 1/3 (/ (exp (* 1/3 (log N))) N))) (* (/ (exp (* 1/3 (log N))) (* N N)) 1/9)) (+ 1 (* N (- 1/3 (* 1/9 N)))) (+ (* (cbrt (/ 1 (pow N 5))) -1/9) (+ (* (cbrt (/ (/ 1 N) N)) 1/3) (pow (/ 1 N) -1/3))) (- (+ (exp (* 1/3 (log N))) (* 1/3 (/ (exp (* 1/3 (log N))) N))) (* (/ (exp (* 1/3 (log N))) (* N N)) 1/9)) 3.314 * * * [progress]: adding candidates to table 3.750 * * [progress]: iteration 4 / 4 3.750 * * * [progress]: picking best candidate 3.772 * * * * [pick]: Picked # 3.772 * * * [progress]: localizing error 3.826 * * * [progress]: generating rewritten candidates 3.826 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 3.835 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.835 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 3.838 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 3.841 * * * [progress]: generating series expansions 3.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 3.841 * [backup-simplify]: Simplify (cbrt (* (+ N 1) (- N 1))) into (pow (* (+ N 1) (- N 1)) 1/3) 3.842 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) (- N 1)) 1/3) in (N) around 0 3.842 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) (- N 1)) 1/3) in N 3.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) (- N 1))))) in N 3.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) (- N 1)))) in N 3.842 * [taylor]: Taking taylor expansion of 1/3 in N 3.842 * [backup-simplify]: Simplify 1/3 into 1/3 3.842 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (- N 1))) in N 3.842 * [taylor]: Taking taylor expansion of (* (+ N 1) (- N 1)) in N 3.842 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.842 * [taylor]: Taking taylor expansion of N in N 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of 1 in N 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of (- N 1) in N 3.842 * [taylor]: Taking taylor expansion of N in N 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of 1 in N 3.842 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (+ 0 1) into 1 3.843 * [backup-simplify]: Simplify (- 1) into -1 3.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.844 * [backup-simplify]: Simplify (* 1 -1) into -1 3.845 * [backup-simplify]: Simplify (log -1) into (log -1) 3.846 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.847 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.847 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) (- N 1)) 1/3) in N 3.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) (- N 1))))) in N 3.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) (- N 1)))) in N 3.847 * [taylor]: Taking taylor expansion of 1/3 in N 3.847 * [backup-simplify]: Simplify 1/3 into 1/3 3.847 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (- N 1))) in N 3.847 * [taylor]: Taking taylor expansion of (* (+ N 1) (- N 1)) in N 3.847 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.847 * [taylor]: Taking taylor expansion of N in N 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of 1 in N 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of (- N 1) in N 3.847 * [taylor]: Taking taylor expansion of N in N 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of 1 in N 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (+ 0 1) into 1 3.848 * [backup-simplify]: Simplify (- 1) into -1 3.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.848 * [backup-simplify]: Simplify (* 1 -1) into -1 3.849 * [backup-simplify]: Simplify (log -1) into (log -1) 3.849 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.850 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.851 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 3.851 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 1 0) into 1 3.852 * [backup-simplify]: Simplify (+ 1 0) into 1 3.852 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 3.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 3.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1 3.868 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (log -1)))) into -1/3 3.872 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 3.873 * [backup-simplify]: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) 3.873 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.878 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 3.879 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1))))) into 0 3.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.889 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/2 3.890 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1)))))) into -1/6 3.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 3.903 * [backup-simplify]: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) 3.906 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow N 4)) (+ (* (* -1/3 (pow -1 1/3)) (pow N 2)) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* (pow N 2) (pow -1 1/3))) (* 1/9 (* (pow N 4) (pow -1 1/3))))) 3.906 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (- (/ 1 N) 1))) into (pow (* (- (/ 1 N) 1) (+ (/ 1 N) 1)) 1/3) 3.906 * [approximate]: Taking taylor expansion of (pow (* (- (/ 1 N) 1) (+ (/ 1 N) 1)) 1/3) in (N) around 0 3.906 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 N) 1) (+ (/ 1 N) 1)) 1/3) in N 3.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- (/ 1 N) 1) (+ (/ 1 N) 1))))) in N 3.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- (/ 1 N) 1) (+ (/ 1 N) 1)))) in N 3.906 * [taylor]: Taking taylor expansion of 1/3 in N 3.906 * [backup-simplify]: Simplify 1/3 into 1/3 3.906 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 N) 1) (+ (/ 1 N) 1))) in N 3.906 * [taylor]: Taking taylor expansion of (* (- (/ 1 N) 1) (+ (/ 1 N) 1)) in N 3.906 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 3.906 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.906 * [taylor]: Taking taylor expansion of N in N 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.907 * [taylor]: Taking taylor expansion of 1 in N 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.907 * [taylor]: Taking taylor expansion of N in N 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.907 * [taylor]: Taking taylor expansion of 1 in N 3.907 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (+ 1 0) into 1 3.908 * [backup-simplify]: Simplify (+ 1 0) into 1 3.909 * [backup-simplify]: Simplify (* 1 1) into 1 3.909 * [backup-simplify]: Simplify (log 1) into 0 3.909 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.910 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.910 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.910 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 N) 1) (+ (/ 1 N) 1)) 1/3) in N 3.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- (/ 1 N) 1) (+ (/ 1 N) 1))))) in N 3.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- (/ 1 N) 1) (+ (/ 1 N) 1)))) in N 3.910 * [taylor]: Taking taylor expansion of 1/3 in N 3.910 * [backup-simplify]: Simplify 1/3 into 1/3 3.910 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 N) 1) (+ (/ 1 N) 1))) in N 3.910 * [taylor]: Taking taylor expansion of (* (- (/ 1 N) 1) (+ (/ 1 N) 1)) in N 3.910 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 3.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.910 * [taylor]: Taking taylor expansion of N in N 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (/ 1 1) into 1 3.910 * [taylor]: Taking taylor expansion of 1 in N 3.910 * [backup-simplify]: Simplify 1 into 1 3.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.911 * [taylor]: Taking taylor expansion of N in N 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [taylor]: Taking taylor expansion of 1 in N 3.911 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (+ 1 0) into 1 3.912 * [backup-simplify]: Simplify (+ 1 0) into 1 3.912 * [backup-simplify]: Simplify (* 1 1) into 1 3.913 * [backup-simplify]: Simplify (log 1) into 0 3.913 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.913 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.913 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.914 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (+ 0 1) into 1 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (- 1) into -1 3.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.917 * [backup-simplify]: Simplify (+ (* 1 1) (* -1 1)) into 0 3.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 3.921 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.921 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- 0) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 1) (* 0 1))) into -1 3.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 3.928 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.929 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) 3.931 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.931 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (+ 0 0) into 0 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (- 0) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 1) (* 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.942 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.943 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 3.945 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.961 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2 3.962 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.964 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) 3.969 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 3.970 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 3.970 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (pow (/ 1 N) -2/3) (+ (* 1/9 (pow (/ 1 (pow N 10)) 1/3)) (* 1/3 (pow (/ 1 (pow N 4)) 1/3)))) 3.971 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (- (/ 1 (- N)) 1))) into (* (cbrt -1) (pow (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) 1/3)) 3.971 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) 1/3)) in (N) around 0 3.971 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) 1/3)) in N 3.971 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.971 * [taylor]: Taking taylor expansion of -1 in N 3.971 * [backup-simplify]: Simplify -1 into -1 3.972 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.972 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.972 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) 1/3) in N 3.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) (+ (/ 1 N) 1))))) in N 3.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)))) in N 3.973 * [taylor]: Taking taylor expansion of 1/3 in N 3.973 * [backup-simplify]: Simplify 1/3 into 1/3 3.973 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) (+ (/ 1 N) 1))) in N 3.973 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) in N 3.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.973 * [taylor]: Taking taylor expansion of 1 in N 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.973 * [taylor]: Taking taylor expansion of N in N 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.974 * [taylor]: Taking taylor expansion of N in N 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of 1 in N 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (- 1) into -1 3.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.976 * [backup-simplify]: Simplify (* -1 1) into -1 3.976 * [backup-simplify]: Simplify (log -1) into (log -1) 3.977 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.977 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.977 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.977 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) 1/3)) in N 3.977 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.977 * [taylor]: Taking taylor expansion of -1 in N 3.977 * [backup-simplify]: Simplify -1 into -1 3.978 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.978 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.978 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) 1/3) in N 3.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) (+ (/ 1 N) 1))))) in N 3.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)))) in N 3.978 * [taylor]: Taking taylor expansion of 1/3 in N 3.978 * [backup-simplify]: Simplify 1/3 into 1/3 3.978 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) (+ (/ 1 N) 1))) in N 3.978 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) (+ (/ 1 N) 1)) in N 3.978 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.978 * [taylor]: Taking taylor expansion of 1 in N 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.978 * [taylor]: Taking taylor expansion of N in N 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.979 * [taylor]: Taking taylor expansion of N in N 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of 1 in N 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (- 1) into -1 3.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.980 * [backup-simplify]: Simplify (+ 1 0) into 1 3.980 * [backup-simplify]: Simplify (* -1 1) into -1 3.980 * [backup-simplify]: Simplify (log -1) into (log -1) 3.981 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.981 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.981 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.982 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.983 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ 0 1) into 1 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (- 0) into 0 3.984 * [backup-simplify]: Simplify (+ 1 0) into 1 3.985 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 1)) into 0 3.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.986 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0 3.988 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 1))) into 1 3.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1 4.000 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.001 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3) 4.002 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.005 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.005 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 4.011 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N))))))) into 0 4.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.016 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.024 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/2 4.025 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.026 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))))) into (- 1/6) 4.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.032 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 0) (+ (* 0 (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.032 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.035 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 4)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (+ (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 4))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))) 4.035 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.036 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.036 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 4.036 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.036 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.036 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.036 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.036 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.037 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ (/ 1 N) 1) (- (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))) (cbrt (- (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.037 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 4.037 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.037 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.037 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.037 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.037 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.038 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ (/ 1 (- N)) 1) (- (/ 1 (- N)) 1))) (cbrt (+ (/ 1 (- N)) 1))) (cbrt (- (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.038 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 4.038 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.038 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.038 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.038 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.038 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.039 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 4.039 * [backup-simplify]: Simplify (cbrt (- N 1)) into (pow (- N 1) 1/3) 4.039 * [approximate]: Taking taylor expansion of (pow (- N 1) 1/3) in (N) around 0 4.039 * [taylor]: Taking taylor expansion of (pow (- N 1) 1/3) in N 4.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N 4.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1))) in N 4.039 * [taylor]: Taking taylor expansion of 1/3 in N 4.039 * [backup-simplify]: Simplify 1/3 into 1/3 4.039 * [taylor]: Taking taylor expansion of (log (- N 1)) in N 4.039 * [taylor]: Taking taylor expansion of (- N 1) in N 4.039 * [taylor]: Taking taylor expansion of N in N 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [taylor]: Taking taylor expansion of 1 in N 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (- 1) into -1 4.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.040 * [backup-simplify]: Simplify (log -1) into (log -1) 4.040 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.041 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.041 * [taylor]: Taking taylor expansion of (pow (- N 1) 1/3) in N 4.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N 4.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1))) in N 4.041 * [taylor]: Taking taylor expansion of 1/3 in N 4.041 * [backup-simplify]: Simplify 1/3 into 1/3 4.041 * [taylor]: Taking taylor expansion of (log (- N 1)) in N 4.041 * [taylor]: Taking taylor expansion of (- N 1) in N 4.041 * [taylor]: Taking taylor expansion of N in N 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.041 * [taylor]: Taking taylor expansion of 1 in N 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (- 1) into -1 4.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.042 * [backup-simplify]: Simplify (log -1) into (log -1) 4.043 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.044 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.044 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 1 0) into 1 4.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.046 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 4.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 4.049 * [backup-simplify]: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.052 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 4.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 4.056 * [backup-simplify]: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) 4.057 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow N 2)) (+ (* (* -1/3 (pow -1 1/3)) N) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/9 (* (pow N 2) (pow -1 1/3))) (* 1/3 (* N (pow -1 1/3))))) 4.057 * [backup-simplify]: Simplify (cbrt (- (/ 1 N) 1)) into (pow (- (/ 1 N) 1) 1/3) 4.057 * [approximate]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in (N) around 0 4.057 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in N 4.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N 4.058 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N 4.058 * [taylor]: Taking taylor expansion of 1/3 in N 4.058 * [backup-simplify]: Simplify 1/3 into 1/3 4.058 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1)) in N 4.058 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 4.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.058 * [taylor]: Taking taylor expansion of N in N 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.058 * [taylor]: Taking taylor expansion of 1 in N 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (+ 1 0) into 1 4.058 * [backup-simplify]: Simplify (log 1) into 0 4.059 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.059 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.059 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.059 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in N 4.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N 4.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N 4.059 * [taylor]: Taking taylor expansion of 1/3 in N 4.059 * [backup-simplify]: Simplify 1/3 into 1/3 4.059 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1)) in N 4.059 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 4.059 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.059 * [taylor]: Taking taylor expansion of N in N 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (/ 1 1) into 1 4.059 * [taylor]: Taking taylor expansion of 1 in N 4.059 * [backup-simplify]: Simplify 1 into 1 4.060 * [backup-simplify]: Simplify (+ 1 0) into 1 4.060 * [backup-simplify]: Simplify (log 1) into 0 4.060 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.060 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.060 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.060 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- 1) into -1 4.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.062 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.063 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log N)))) into (- 1/3) 4.063 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 N) 1/3)) 4.063 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 1/3)) into (* -1/3 (pow (/ 1 N) 1/3)) 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.066 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.067 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log N))))) into (- 1/6) 4.068 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 4.068 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 4.068 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (pow (/ 1 N) -1/3) (+ (* 1/9 (pow (/ 1 (pow N 5)) 1/3)) (* 1/3 (pow (/ 1 (pow N 2)) 1/3)))) 4.069 * [backup-simplify]: Simplify (cbrt (- (/ 1 (- N)) 1)) into (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) 4.069 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in (N) around 0 4.069 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in N 4.069 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.069 * [taylor]: Taking taylor expansion of -1 in N 4.069 * [backup-simplify]: Simplify -1 into -1 4.069 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.070 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.070 * [taylor]: Taking taylor expansion of 1/3 in N 4.070 * [backup-simplify]: Simplify 1/3 into 1/3 4.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.070 * [taylor]: Taking taylor expansion of N in N 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [taylor]: Taking taylor expansion of 1 in N 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (+ 1 0) into 1 4.070 * [backup-simplify]: Simplify (log 1) into 0 4.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.071 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.071 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.071 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in N 4.071 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.071 * [taylor]: Taking taylor expansion of -1 in N 4.071 * [backup-simplify]: Simplify -1 into -1 4.071 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.072 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.072 * [taylor]: Taking taylor expansion of 1/3 in N 4.072 * [backup-simplify]: Simplify 1/3 into 1/3 4.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.072 * [taylor]: Taking taylor expansion of N in N 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (/ 1 1) into 1 4.072 * [taylor]: Taking taylor expansion of 1 in N 4.072 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (+ 1 0) into 1 4.073 * [backup-simplify]: Simplify (log 1) into 0 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.073 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.073 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.074 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.074 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ 0 1) into 1 4.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.076 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 4.077 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 4.078 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/3 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3))) into (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) 4.078 * [backup-simplify]: Simplify (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) into (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.081 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.082 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 4.087 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 4.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.088 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3)))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) 4.089 * [backup-simplify]: Simplify (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) 4.090 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)))) into (- (* (pow (* N -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1))))) 4.091 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 4.091 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 4.091 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 4.091 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 4.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 4.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 4.091 * [taylor]: Taking taylor expansion of 1/3 in N 4.091 * [backup-simplify]: Simplify 1/3 into 1/3 4.091 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.091 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of 1 in N 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (+ 0 1) into 1 4.091 * [backup-simplify]: Simplify (log 1) into 0 4.092 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.092 * [backup-simplify]: Simplify (+ 1 0) into 1 4.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.094 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.094 * [backup-simplify]: Simplify (exp 0) into 1 4.094 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 4.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 4.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 4.095 * [taylor]: Taking taylor expansion of 1/3 in N 4.095 * [backup-simplify]: Simplify 1/3 into 1/3 4.095 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.095 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.095 * [taylor]: Taking taylor expansion of N in N 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [taylor]: Taking taylor expansion of 1 in N 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (+ 0 1) into 1 4.096 * [backup-simplify]: Simplify (log 1) into 0 4.096 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.096 * [backup-simplify]: Simplify (+ 1 0) into 1 4.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.098 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.098 * [backup-simplify]: Simplify (exp 0) into 1 4.099 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 4.100 * [backup-simplify]: Simplify 1/3 into 1/3 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.104 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 4.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 4.106 * [backup-simplify]: Simplify -1/9 into -1/9 4.106 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 4.107 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 4.107 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 4.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.107 * [taylor]: Taking taylor expansion of 1/3 in N 4.107 * [backup-simplify]: Simplify 1/3 into 1/3 4.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.107 * [taylor]: Taking taylor expansion of 1 in N 4.107 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (+ 1 0) into 1 4.108 * [backup-simplify]: Simplify (log 1) into 0 4.109 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.109 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.109 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.109 * [taylor]: Taking taylor expansion of 1/3 in N 4.109 * [backup-simplify]: Simplify 1/3 into 1/3 4.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.109 * [taylor]: Taking taylor expansion of N in N 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [taylor]: Taking taylor expansion of 1 in N 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.111 * [backup-simplify]: Simplify (log 1) into 0 4.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.111 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.111 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.112 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (+ 0 1) into 1 4.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.115 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.115 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 4.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 4.116 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.121 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.122 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 4.124 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 4.124 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 4.124 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 4.125 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 4.125 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 4.125 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 4.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 4.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 4.125 * [taylor]: Taking taylor expansion of 1/3 in N 4.125 * [backup-simplify]: Simplify 1/3 into 1/3 4.125 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 4.125 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.125 * [taylor]: Taking taylor expansion of 1 in N 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.125 * [taylor]: Taking taylor expansion of N in N 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (/ 1 1) into 1 4.126 * [backup-simplify]: Simplify (- 1) into -1 4.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.127 * [backup-simplify]: Simplify (log -1) into (log -1) 4.127 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.128 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 4.128 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.128 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 4.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 4.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 4.129 * [taylor]: Taking taylor expansion of 1/3 in N 4.129 * [backup-simplify]: Simplify 1/3 into 1/3 4.129 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 4.129 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.129 * [taylor]: Taking taylor expansion of 1 in N 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.129 * [taylor]: Taking taylor expansion of N in N 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [backup-simplify]: Simplify (- 1) into -1 4.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.130 * [backup-simplify]: Simplify (log -1) into (log -1) 4.131 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.132 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 4.132 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.133 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.134 * [backup-simplify]: Simplify (+ 1 0) into 1 4.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.137 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.137 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 4.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 4.140 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (- 0) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.147 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 4.149 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 4.150 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 4.152 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 4.152 * * * [progress]: simplifying candidates 4.152 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 4.152 * * * * [progress]: [ 11 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 18 / 71 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) (- N 1))))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N)))))> 4.153 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 20 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 26 / 71 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N)))))))> 4.153 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 4.153 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 38 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 44 / 71 ] simplifiying candidate #real (real->posit16 (cbrt (- N 1))))) (* (cbrt (+ N 1)) N)))))> 4.154 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 4.154 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 58 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 59 / 71 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) N)))))> 4.155 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 4.155 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 4.156 * [simplify]: Simplifying: (log (cbrt (* (+ N 1) (- N 1)))) (exp (cbrt (* (+ N 1) (- N 1)))) (cbrt (+ N 1)) (cbrt (- N 1)) (cbrt (* (+ (pow N 3) (pow 1 3)) (- (pow N 3) (pow 1 3)))) (cbrt (* (+ (* N N) (- (* 1 1) (* N 1))) (+ (* N N) (+ (* 1 1) (* N 1))))) (cbrt (* (+ (pow N 3) (pow 1 3)) (- (* N N) (* 1 1)))) (cbrt (* (+ (* N N) (- (* 1 1) (* N 1))) (+ N 1))) (cbrt (* (- (* N N) (* 1 1)) (- (pow N 3) (pow 1 3)))) (cbrt (* (- N 1) (+ (* N N) (+ (* 1 1) (* N 1))))) (cbrt (* (- (* N N) (* 1 1)) (- (* N N) (* 1 1)))) (cbrt (* (- N 1) (+ N 1))) (cbrt (* (+ N 1) (- (pow N 3) (pow 1 3)))) (cbrt (+ (* N N) (+ (* 1 1) (* N 1)))) (cbrt (* (+ N 1) (- (* N N) (* 1 1)))) (cbrt (+ N 1)) (cbrt (* (+ (pow N 3) (pow 1 3)) (- N 1))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) (- N 1))) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) (- N 1)))) (cbrt (cbrt (* (+ N 1) (- N 1))))) (cbrt (cbrt (* (+ N 1) (- N 1)))) (* (* (cbrt (* (+ N 1) (- N 1))) (cbrt (* (+ N 1) (- N 1)))) (cbrt (* (+ N 1) (- N 1)))) (sqrt (cbrt (* (+ N 1) (- N 1)))) (sqrt (cbrt (* (+ N 1) (- N 1)))) (real->posit16 (cbrt (* (+ N 1) (- N 1)))) (log (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (exp (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (* (cbrt (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (cbrt (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N)))))) (cbrt (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (* (* (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N)))) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (sqrt (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (sqrt (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (real->posit16 (atan2 1 (+ 1 (* (/ (* (cbrt (* (+ N 1) (- N 1))) (cbrt (+ N 1))) (cbrt (- N 1))) (* (cbrt (+ N 1)) N))))) (log (cbrt (- N 1))) (exp (cbrt (- N 1))) (cbrt (* (cbrt (- N 1)) (cbrt (- N 1)))) (cbrt (cbrt (- N 1))) (cbrt (sqrt (- N 1))) (cbrt (sqrt (- N 1))) (cbrt 1) (cbrt (- N 1)) (cbrt (+ (sqrt N) (sqrt 1))) (cbrt (- (sqrt N) (sqrt 1))) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) (cbrt 1) (cbrt (- N 1)) (cbrt (- (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (+ (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1)) (* (cbrt (cbrt (- N 1))) (cbrt (cbrt (- N 1)))) (cbrt (cbrt (- N 1))) (* (* (cbrt (- N 1)) (cbrt (- N 1))) (cbrt (- N 1))) (sqrt (cbrt (- N 1))) (sqrt (cbrt (- N 1))) (real->posit16 (cbrt (- N 1))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (- (pow -1 1/3) (+ (* 1/3 (* (pow N 2) (pow -1 1/3))) (* 1/9 (* (pow N 4) (pow -1 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 1/9 (pow (/ 1 (pow N 10)) 1/3)) (* 1/3 (pow (/ 1 (pow N 4)) 1/3)))) (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (+ (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 4))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2))))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (- (pow -1 1/3) (+ (* 1/9 (* (pow N 2) (pow -1 1/3))) (* 1/3 (* N (pow -1 1/3))))) (- (pow (/ 1 N) -1/3) (+ (* 1/9 (pow (/ 1 (pow N 5)) 1/3)) (* 1/3 (pow (/ 1 (pow N 2)) 1/3)))) (- (* (pow (* N -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1))))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 4.158 * * [simplify]: iteration 0: 195 enodes 4.216 * * [simplify]: iteration 1: 433 enodes 4.366 * * [simplify]: iteration 2: 1207 enodes 4.640 * * [simplify]: iteration complete: 2000 enodes 4.640 * * [simplify]: Extracting #0: cost 64 inf + 0 4.640 * * [simplify]: Extracting #1: cost 165 inf + 1 4.641 * * [simplify]: Extracting #2: cost 422 inf + 47 4.644 * * [simplify]: Extracting #3: cost 611 inf + 9993 4.651 * * [simplify]: Extracting #4: cost 480 inf + 43669 4.664 * * [simplify]: Extracting #5: cost 352 inf + 92186 4.685 * * [simplify]: Extracting #6: cost 222 inf + 135463 4.716 * * [simplify]: Extracting #7: cost 93 inf + 197758 4.747 * * [simplify]: Extracting #8: cost 19 inf + 230422 4.796 * * [simplify]: Extracting #9: cost 3 inf + 235416 4.825 * * [simplify]: Extracting #10: cost 0 inf + 236175 4.882 * [simplify]: Simplified to: (log (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (exp (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (cbrt (+ 1 N)) (cbrt (+ -1 N)) (cbrt (+ (+ (* N (* N N)) -1) (* (+ (* N (* N N)) -1) (* N (* N N))))) (cbrt (* (+ (* N N) (+ 1 N)) (+ (* N N) (- 1 N)))) (cbrt (* (+ (* N (* N N)) 1) (- (* N N) 1))) (cbrt (* (+ (* N N) (- 1 N)) (+ N 1))) (cbrt (* (- (* N N) 1) (+ (* N (* N N)) -1))) (cbrt (* (+ -1 N) (+ (* N N) (+ 1 N)))) (cbrt (* (- (* N N) 1) (- (* N N) 1))) (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (cbrt (+ (+ (* N (* N N)) -1) (* N (+ (* N (* N N)) -1)))) (cbrt (+ (* N N) (+ 1 N))) (cbrt (* (- (* N N) 1) (+ 1 N))) (cbrt (+ 1 N)) (cbrt (+ (+ -1 N) (* (* N (* N N)) (+ -1 N)))) (cbrt (+ (* N N) (- 1 N))) (cbrt (* (+ -1 N) (- (* N N) 1))) (cbrt (+ -1 N)) (* (cbrt (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (cbrt (cbrt (+ (* N (+ -1 N)) (+ -1 N))))) (cbrt (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (+ (* N (+ -1 N)) (+ -1 N)) (sqrt (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (sqrt (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (real->posit16 (cbrt (+ (* N (+ -1 N)) (+ -1 N)))) (log (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (exp (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (* (cbrt (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (cbrt (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N))))))) (cbrt (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (* (* (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N))))) (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (sqrt (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (sqrt (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (real->posit16 (atan2 1 (+ 1 (/ (* (cbrt (+ 1 N)) (* (cbrt (+ (* N (+ -1 N)) (+ -1 N))) (* (cbrt (+ 1 N)) N))) (cbrt (+ -1 N)))))) (log (cbrt (+ -1 N))) (exp (cbrt (+ -1 N))) (cbrt (* (cbrt (+ -1 N)) (cbrt (+ -1 N)))) (cbrt (cbrt (+ -1 N))) (cbrt (sqrt (+ -1 N))) (cbrt (sqrt (+ -1 N))) 1 (cbrt (+ -1 N)) (cbrt (+ (sqrt N) 1)) (cbrt (+ (sqrt N) -1)) (cbrt (+ (sqrt N) 1)) (cbrt (+ (sqrt N) -1)) (cbrt (+ (sqrt N) 1)) (cbrt (+ (sqrt N) -1)) 1 (cbrt (+ -1 N)) (cbrt (+ (* N (* N N)) -1)) (cbrt (+ (* N N) (+ 1 N))) (cbrt (- (* N N) 1)) (cbrt (+ 1 N)) (* (cbrt (cbrt (+ -1 N))) (cbrt (cbrt (+ -1 N)))) (cbrt (cbrt (+ -1 N))) (+ -1 N) (sqrt (cbrt (+ -1 N))) (sqrt (cbrt (+ -1 N))) (real->posit16 (cbrt (+ -1 N))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ (* N (* N N)) 1)) (cbrt (+ (* N N) (- 1 N))) (cbrt (- (* N N) 1)) (cbrt (+ -1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (+ 1 N) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (- (cbrt -1) (* (cbrt -1) (+ (* (* (* N N) (* N N)) 1/9) (* 1/3 (* N N))))) (- (- (pow (/ 1 N) -2/3) (* 1/9 (cbrt (/ 1 (pow N 10))))) (* (cbrt (/ 1 (* (* N N) (* N N)))) 1/3)) (- (- (* (cbrt -1) (exp (* (- (log -1) (* (- (log -1) (log N)) 2)) 1/3))) (/ (* 1/3 (cbrt -1)) (/ (* N N) (exp (* (- (log -1) (* (- (log -1) (log N)) 2)) 1/3))))) (* (/ (* 1/9 (exp (* (- (log -1) (* (- (log -1) (log N)) 2)) 1/3))) (* N N)) (/ (cbrt -1) (* N N)))) (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N))) (- (cbrt -1) (* (cbrt -1) (+ (* N 1/3) (* (* N N) 1/9)))) (- (- (pow (/ 1 N) -1/3) (* (cbrt (/ 1 (pow N 5))) 1/9)) (* (cbrt (/ 1 (* N N))) 1/3)) (- (* (cbrt -1) (cbrt (- N))) (* (cbrt -1) (+ (* (cbrt (/ -1 (* N N))) 1/3) (* 1/9 (cbrt (/ -1 (pow N 5))))))) (- (+ (* N 1/3) 1) (* (* N N) 1/9)) (- (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) 1/9)) (+ (/ (* 1/3 (exp (* (+ 0 (log N)) 1/3))) N) (+ (exp (* (+ 0 (log N)) 1/3)) (* (/ (exp (* (+ 0 (log N)) 1/3)) (* N N)) -1/9))) 4.900 * * * [progress]: adding candidates to table 5.405 * [progress]: [Phase 3 of 3] Extracting. 5.405 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.408 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.408 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 5.455 * * * [regime]: Found split indices: #