28.807 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.049 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.049 * * [simplify]: iteration 0: 6 enodes 0.051 * * [simplify]: iteration 1: 11 enodes 0.054 * * [simplify]: iteration 2: 12 enodes 0.057 * * [simplify]: iteration complete: 12 enodes 0.057 * * [simplify]: Extracting #0: cost 1 inf + 0 0.057 * * [simplify]: Extracting #1: cost 4 inf + 0 0.057 * * [simplify]: Extracting #2: cost 6 inf + 0 0.057 * * [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 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.085 * * * [progress]: generating rewritten candidates 0.085 * * * * [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 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 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)) 0.104 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.104 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.104 * [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 * [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))) 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [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 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [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)) 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.110 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.110 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.110 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.110 * [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))) 0.111 * [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 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.116 * * * [progress]: simplifying candidates 0.116 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.116 * * * * [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 # 0.117 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.117 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.117 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.117 * * * * [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 0.133 * * [simplify]: iteration 1: 73 enodes 0.175 * * [simplify]: iteration 2: 147 enodes 0.206 * * [simplify]: iteration 3: 307 enodes 0.279 * * [simplify]: iteration 4: 692 enodes 0.576 * * [simplify]: iteration 5: 1968 enodes 1.218 * * [simplify]: iteration complete: 5000 enodes 1.218 * * [simplify]: Extracting #0: cost 17 inf + 0 1.219 * * [simplify]: Extracting #1: cost 287 inf + 1 1.225 * * [simplify]: Extracting #2: cost 1098 inf + 337 1.244 * * [simplify]: Extracting #3: cost 1252 inf + 56770 1.299 * * [simplify]: Extracting #4: cost 455 inf + 284482 1.434 * * [simplify]: Extracting #5: cost 195 inf + 435602 1.549 * * [simplify]: Extracting #6: cost 168 inf + 490472 1.640 * * [simplify]: Extracting #7: cost 34 inf + 538806 1.740 * * [simplify]: Extracting #8: cost 0 inf + 555557 1.851 * [simplify]: Simplified to: 1 (+ 1 (+ (* N N) N)) (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)) (+ (atan N) (atan (+ N 1)))) (+ (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)) 1.853 * * * [progress]: adding candidates to table 1.942 * * [progress]: iteration 2 / 4 1.942 * * * [progress]: picking best candidate 1.946 * * * * [pick]: Picked # 1.946 * * * [progress]: localizing error 1.972 * * * [progress]: generating rewritten candidates 1.972 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.973 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.010 * * * [progress]: generating series expansions 2.010 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.010 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.010 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.010 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.011 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.011 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.011 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.011 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.012 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.012 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.012 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.012 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.012 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.012 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.012 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.013 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.013 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.013 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.013 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.013 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.014 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.014 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.014 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.014 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.015 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.015 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.015 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.015 * [taylor]: Taking taylor expansion of N in N 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of 1 in N 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of N in N 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.015 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.015 * [taylor]: Taking taylor expansion of N in N 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of 1 in N 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of N in N 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (+ 0 1) into 1 2.016 * [backup-simplify]: Simplify (* 1 0) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ 1 0) into 1 2.017 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.018 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.032 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.032 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.032 * [taylor]: Taking taylor expansion of N in N 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [taylor]: Taking taylor expansion of 1 in N 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [taylor]: Taking taylor expansion of N in N 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (+ 1 0) into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.033 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.033 * [taylor]: Taking taylor expansion of N in N 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of 1 in N 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 1) into 1 2.037 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.037 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [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 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [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 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [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 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.051 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.051 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.051 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.051 * [taylor]: Taking taylor expansion of -1 in N 2.051 * [backup-simplify]: Simplify -1 into -1 2.051 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.051 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.051 * [taylor]: Taking taylor expansion of 1 in N 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.051 * [taylor]: Taking taylor expansion of N in N 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ 1 1) into 1 2.051 * [taylor]: Taking taylor expansion of N in N 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (- 1) into -1 2.052 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.053 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.053 * [taylor]: Taking taylor expansion of -1 in N 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.053 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.053 * [taylor]: Taking taylor expansion of 1 in N 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ 1 1) into 1 2.053 * [taylor]: Taking taylor expansion of N in N 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (- 1) into -1 2.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.055 * [backup-simplify]: Simplify (/ -1 1) into -1 2.055 * [backup-simplify]: Simplify (* -1 -1) into 1 2.055 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify (+ 1 0) into 1 2.059 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.059 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.059 * [backup-simplify]: Simplify -1 into -1 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [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 2.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [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 2.083 * [backup-simplify]: Simplify (- 0) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [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 2.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.087 * * * [progress]: simplifying candidates 2.087 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.087 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.087 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.087 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.088 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.088 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.089 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.089 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.090 * [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)) 2.091 * * [simplify]: iteration 0: 55 enodes 2.119 * * [simplify]: iteration 1: 121 enodes 2.171 * * [simplify]: iteration 2: 266 enodes 2.293 * * [simplify]: iteration 3: 706 enodes 3.149 * * [simplify]: iteration 4: 2728 enodes 4.505 * * [simplify]: iteration complete: 5008 enodes 4.505 * * [simplify]: Extracting #0: cost 25 inf + 0 4.506 * * [simplify]: Extracting #1: cost 369 inf + 0 4.512 * * [simplify]: Extracting #2: cost 1238 inf + 5618 4.537 * * [simplify]: Extracting #3: cost 1185 inf + 80716 4.610 * * [simplify]: Extracting #4: cost 386 inf + 267801 4.710 * * [simplify]: Extracting #5: cost 29 inf + 379578 4.773 * * [simplify]: Extracting #6: cost 3 inf + 388627 4.866 * * [simplify]: Extracting #7: cost 0 inf + 389508 4.978 * [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))) (* (* (+ 1 N) (cbrt N)) (cbrt 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) 1) N) (real->posit16 (* (+ 1 N) N)) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 4.980 * * * [progress]: adding candidates to table 5.119 * * [progress]: iteration 3 / 4 5.119 * * * [progress]: picking best candidate 5.135 * * * * [pick]: Picked # 5.135 * * * [progress]: localizing error 5.159 * * * [progress]: generating rewritten candidates 5.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.159 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 5.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 5.174 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 5.183 * * * [progress]: generating series expansions 5.183 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.184 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.184 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.184 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.184 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.184 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.184 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.185 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.185 * [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))) 5.185 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.186 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.186 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.186 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.186 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.187 * [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))) 5.187 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 5.187 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.187 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.187 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.188 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.188 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.188 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 5.189 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 5.189 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 5.189 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.189 * [taylor]: Taking taylor expansion of 1/3 in N 5.189 * [backup-simplify]: Simplify 1/3 into 1/3 5.189 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.189 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.189 * [taylor]: Taking taylor expansion of N in N 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [taylor]: Taking taylor expansion of 1 in N 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (+ 0 1) into 1 5.190 * [backup-simplify]: Simplify (log 1) into 0 5.190 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.191 * [backup-simplify]: Simplify (+ 1 0) into 1 5.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.193 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.193 * [backup-simplify]: Simplify (exp 0) into 1 5.193 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.193 * [taylor]: Taking taylor expansion of 1/3 in N 5.193 * [backup-simplify]: Simplify 1/3 into 1/3 5.193 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.193 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.193 * [taylor]: Taking taylor expansion of N in N 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [taylor]: Taking taylor expansion of 1 in N 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (+ 0 1) into 1 5.194 * [backup-simplify]: Simplify (log 1) into 0 5.194 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.195 * [backup-simplify]: Simplify (+ 1 0) into 1 5.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.197 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.197 * [backup-simplify]: Simplify (exp 0) into 1 5.197 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.198 * [backup-simplify]: Simplify 1/3 into 1/3 5.199 * [backup-simplify]: Simplify (+ 0 0) into 0 5.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.202 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.203 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.203 * [backup-simplify]: Simplify -1/9 into -1/9 5.204 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 5.204 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 5.204 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 5.204 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.204 * [taylor]: Taking taylor expansion of 1/3 in N 5.204 * [backup-simplify]: Simplify 1/3 into 1/3 5.204 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.204 * [taylor]: Taking taylor expansion of N in N 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.204 * [backup-simplify]: Simplify (/ 1 1) into 1 5.204 * [taylor]: Taking taylor expansion of 1 in N 5.204 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (+ 1 0) into 1 5.205 * [backup-simplify]: Simplify (log 1) into 0 5.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.205 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.205 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.205 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.205 * [taylor]: Taking taylor expansion of 1/3 in N 5.205 * [backup-simplify]: Simplify 1/3 into 1/3 5.205 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.205 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.205 * [taylor]: Taking taylor expansion of N in N 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify 1 into 1 5.206 * [backup-simplify]: Simplify (/ 1 1) into 1 5.206 * [taylor]: Taking taylor expansion of 1 in N 5.206 * [backup-simplify]: Simplify 1 into 1 5.206 * [backup-simplify]: Simplify (+ 1 0) into 1 5.206 * [backup-simplify]: Simplify (log 1) into 0 5.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.206 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.206 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.207 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (+ 0 1) into 1 5.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.209 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.209 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.209 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 5.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.212 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.213 * [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)) 5.214 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 5.214 * [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))) 5.214 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 5.214 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 5.214 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.214 * [taylor]: Taking taylor expansion of 1/3 in N 5.214 * [backup-simplify]: Simplify 1/3 into 1/3 5.214 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.214 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.214 * [taylor]: Taking taylor expansion of 1 in N 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.214 * [taylor]: Taking taylor expansion of N in N 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1 1) into 1 5.215 * [backup-simplify]: Simplify (- 1) into -1 5.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.215 * [backup-simplify]: Simplify (log -1) into (log -1) 5.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.216 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.216 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.216 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.216 * [taylor]: Taking taylor expansion of 1/3 in N 5.216 * [backup-simplify]: Simplify 1/3 into 1/3 5.216 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.216 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.216 * [taylor]: Taking taylor expansion of 1 in N 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.216 * [taylor]: Taking taylor expansion of N in N 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [backup-simplify]: Simplify (- 1) into -1 5.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.217 * [backup-simplify]: Simplify (log -1) into (log -1) 5.222 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.223 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.223 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.223 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (- 0) into 0 5.225 * [backup-simplify]: Simplify (+ 1 0) into 1 5.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.228 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.229 * [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))))) 5.230 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (- 0) into 0 5.232 * [backup-simplify]: Simplify (+ 0 0) into 0 5.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.236 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.237 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.239 * [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))))) 5.240 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.242 * [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)))) 5.242 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 5.242 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 5.242 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 5.242 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.242 * [taylor]: Taking taylor expansion of 1/3 in N 5.242 * [backup-simplify]: Simplify 1/3 into 1/3 5.242 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.242 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.243 * [taylor]: Taking taylor expansion of N in N 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of 1 in N 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [backup-simplify]: Simplify (+ 0 1) into 1 5.243 * [backup-simplify]: Simplify (log 1) into 0 5.244 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.244 * [backup-simplify]: Simplify (+ 1 0) into 1 5.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.246 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.246 * [backup-simplify]: Simplify (exp 0) into 1 5.246 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.246 * [taylor]: Taking taylor expansion of 1/3 in N 5.246 * [backup-simplify]: Simplify 1/3 into 1/3 5.246 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.246 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.246 * [taylor]: Taking taylor expansion of N in N 5.246 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [taylor]: Taking taylor expansion of 1 in N 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (+ 0 1) into 1 5.247 * [backup-simplify]: Simplify (log 1) into 0 5.248 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.248 * [backup-simplify]: Simplify (+ 1 0) into 1 5.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.250 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.250 * [backup-simplify]: Simplify (exp 0) into 1 5.250 * [backup-simplify]: Simplify 1 into 1 5.251 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.252 * [backup-simplify]: Simplify 1/3 into 1/3 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.256 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.258 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.258 * [backup-simplify]: Simplify -1/9 into -1/9 5.258 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 5.258 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 5.258 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 5.258 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.258 * [taylor]: Taking taylor expansion of 1/3 in N 5.258 * [backup-simplify]: Simplify 1/3 into 1/3 5.258 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.258 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.258 * [taylor]: Taking taylor expansion of N in N 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.259 * [taylor]: Taking taylor expansion of 1 in N 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (+ 1 0) into 1 5.259 * [backup-simplify]: Simplify (log 1) into 0 5.260 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.260 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.260 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.260 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.260 * [taylor]: Taking taylor expansion of 1/3 in N 5.260 * [backup-simplify]: Simplify 1/3 into 1/3 5.260 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.260 * [taylor]: Taking taylor expansion of N in N 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [taylor]: Taking taylor expansion of 1 in N 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (+ 1 0) into 1 5.261 * [backup-simplify]: Simplify (log 1) into 0 5.261 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.261 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.261 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.261 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (+ 0 1) into 1 5.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.263 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.264 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.264 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.267 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.268 * [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)) 5.268 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 5.269 * [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))) 5.269 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 5.269 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 5.269 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.269 * [taylor]: Taking taylor expansion of 1/3 in N 5.269 * [backup-simplify]: Simplify 1/3 into 1/3 5.269 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.269 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.269 * [taylor]: Taking taylor expansion of 1 in N 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.269 * [taylor]: Taking taylor expansion of N in N 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (/ 1 1) into 1 5.269 * [backup-simplify]: Simplify (- 1) into -1 5.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.270 * [backup-simplify]: Simplify (log -1) into (log -1) 5.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.271 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.271 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.271 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.271 * [taylor]: Taking taylor expansion of 1/3 in N 5.271 * [backup-simplify]: Simplify 1/3 into 1/3 5.271 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.271 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.271 * [taylor]: Taking taylor expansion of 1 in N 5.271 * [backup-simplify]: Simplify 1 into 1 5.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.271 * [taylor]: Taking taylor expansion of N in N 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.271 * [backup-simplify]: Simplify (/ 1 1) into 1 5.272 * [backup-simplify]: Simplify (- 1) into -1 5.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.272 * [backup-simplify]: Simplify (log -1) into (log -1) 5.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.273 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.273 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.274 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (- 0) into 0 5.275 * [backup-simplify]: Simplify (+ 1 0) into 1 5.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.277 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.278 * [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))))) 5.278 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (- 0) into 0 5.281 * [backup-simplify]: Simplify (+ 0 0) into 0 5.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.286 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.288 * [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))))) 5.289 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.291 * [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)))) 5.291 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 5.291 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 5.291 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 5.291 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.291 * [taylor]: Taking taylor expansion of 1/3 in N 5.291 * [backup-simplify]: Simplify 1/3 into 1/3 5.291 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.291 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.291 * [taylor]: Taking taylor expansion of N in N 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of 1 in N 5.291 * [backup-simplify]: Simplify 1 into 1 5.292 * [backup-simplify]: Simplify (+ 0 1) into 1 5.292 * [backup-simplify]: Simplify (log 1) into 0 5.293 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.293 * [backup-simplify]: Simplify (+ 1 0) into 1 5.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.295 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.295 * [backup-simplify]: Simplify (exp 0) into 1 5.295 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.295 * [taylor]: Taking taylor expansion of 1/3 in N 5.296 * [backup-simplify]: Simplify 1/3 into 1/3 5.296 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.296 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.296 * [taylor]: Taking taylor expansion of N in N 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [taylor]: Taking taylor expansion of 1 in N 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (+ 0 1) into 1 5.297 * [backup-simplify]: Simplify (log 1) into 0 5.297 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.297 * [backup-simplify]: Simplify (+ 1 0) into 1 5.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.299 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.300 * [backup-simplify]: Simplify (exp 0) into 1 5.300 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.301 * [backup-simplify]: Simplify 1/3 into 1/3 5.302 * [backup-simplify]: Simplify (+ 0 0) into 0 5.304 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.306 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.308 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.308 * [backup-simplify]: Simplify -1/9 into -1/9 5.308 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 5.308 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 5.308 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 5.308 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.308 * [taylor]: Taking taylor expansion of 1/3 in N 5.308 * [backup-simplify]: Simplify 1/3 into 1/3 5.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.308 * [taylor]: Taking taylor expansion of N in N 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of 1 in N 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (log 1) into 0 5.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.310 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.310 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.311 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.311 * [taylor]: Taking taylor expansion of 1/3 in N 5.311 * [backup-simplify]: Simplify 1/3 into 1/3 5.311 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.311 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.311 * [taylor]: Taking taylor expansion of N in N 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [taylor]: Taking taylor expansion of 1 in N 5.311 * [backup-simplify]: Simplify 1 into 1 5.312 * [backup-simplify]: Simplify (+ 1 0) into 1 5.312 * [backup-simplify]: Simplify (log 1) into 0 5.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.313 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.313 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.313 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ 0 1) into 1 5.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.316 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.316 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.317 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.318 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ 0 0) into 0 5.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.323 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.325 * [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)) 5.325 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 5.326 * [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))) 5.326 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 5.326 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 5.326 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.326 * [taylor]: Taking taylor expansion of 1/3 in N 5.326 * [backup-simplify]: Simplify 1/3 into 1/3 5.326 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.326 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.326 * [taylor]: Taking taylor expansion of 1 in N 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.326 * [taylor]: Taking taylor expansion of N in N 5.326 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify 1 into 1 5.327 * [backup-simplify]: Simplify (/ 1 1) into 1 5.327 * [backup-simplify]: Simplify (- 1) into -1 5.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.328 * [backup-simplify]: Simplify (log -1) into (log -1) 5.329 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.329 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.330 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.330 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.330 * [taylor]: Taking taylor expansion of 1/3 in N 5.330 * [backup-simplify]: Simplify 1/3 into 1/3 5.330 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.330 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.330 * [taylor]: Taking taylor expansion of 1 in N 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.330 * [taylor]: Taking taylor expansion of N in N 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (/ 1 1) into 1 5.331 * [backup-simplify]: Simplify (- 1) into -1 5.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.332 * [backup-simplify]: Simplify (log -1) into (log -1) 5.333 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.333 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.334 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.334 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (- 0) into 0 5.336 * [backup-simplify]: Simplify (+ 1 0) into 1 5.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.339 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.340 * [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))))) 5.340 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.341 * [backup-simplify]: Simplify (- 0) into 0 5.341 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.344 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.345 * [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))))) 5.345 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.346 * [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)))) 5.346 * * * [progress]: simplifying candidates 5.346 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 3 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 4 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 5 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 8 / 65 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))))> 5.347 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 14 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 23 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) N)))))> 5.347 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 5.347 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 28 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 32 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 38 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (* (cbrt (+ N 1)) N)))))> 5.348 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 42 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 43 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 5.348 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 53 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))> 5.349 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 55 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 5.349 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 5.350 * [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))))) (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))) (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))) (- (+ (* 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)))) (- (+ (* 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)))) 5.350 * * [simplify]: iteration 0: 80 enodes 5.380 * * [simplify]: iteration 1: 167 enodes 5.441 * * [simplify]: iteration 2: 346 enodes 5.559 * * [simplify]: iteration 3: 747 enodes 5.903 * * [simplify]: iteration 4: 2058 enodes 6.693 * * [simplify]: iteration complete: 5003 enodes 6.693 * * [simplify]: Extracting #0: cost 26 inf + 0 6.693 * * [simplify]: Extracting #1: cost 70 inf + 1 6.694 * * [simplify]: Extracting #2: cost 731 inf + 126 6.699 * * [simplify]: Extracting #3: cost 1090 inf + 12466 6.724 * * [simplify]: Extracting #4: cost 989 inf + 81932 6.767 * * [simplify]: Extracting #5: cost 477 inf + 261560 6.840 * * [simplify]: Extracting #6: cost 244 inf + 349240 6.896 * * [simplify]: Extracting #7: cost 185 inf + 373983 6.981 * * [simplify]: Extracting #8: cost 42 inf + 446984 7.065 * * [simplify]: Extracting #9: cost 2 inf + 473587 7.144 * * [simplify]: Extracting #10: cost 0 inf + 474964 7.196 * * [simplify]: Extracting #11: cost 0 inf + 474218 7.254 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (* (+ 1 N) N)))) (exp (atan2 1 (+ 1 (* (+ 1 N) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (* (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ 1 N) 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 (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (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 (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (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 (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (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))) (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))) (- 1 (* N (- (* 1/9 N) 1/3))) (+ (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) -1/9)) (+ (cbrt N) (* (cbrt N) (- (/ 1/3 N) (/ (/ 1/9 N) N)))) (- 1 (* N (- (* 1/9 N) 1/3))) (+ (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) -1/9)) (+ (cbrt N) (* (cbrt N) (- (/ 1/3 N) (/ (/ 1/9 N) N)))) (- 1 (* N (- (* 1/9 N) 1/3))) (+ (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) -1/9)) (+ (cbrt N) (* (cbrt N) (- (/ 1/3 N) (/ (/ 1/9 N) N)))) 7.264 * * * [progress]: adding candidates to table 7.567 * * [progress]: iteration 4 / 4 7.567 * * * [progress]: picking best candidate 7.588 * * * * [pick]: Picked # 7.588 * * * [progress]: localizing error 7.630 * * * [progress]: generating rewritten candidates 7.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 7.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2) 7.648 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 2 1) 7.653 * * * [progress]: generating series expansions 7.653 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.653 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.653 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 7.653 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.653 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.653 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.654 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.654 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.654 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (* (cbrt (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (cbrt (cbrt (+ (/ 1 N) 1)))) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.654 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 7.654 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.655 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.655 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.655 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.655 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.656 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (* (cbrt (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) (cbrt (cbrt (+ (/ 1 (- N)) 1)))) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.656 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 7.656 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.656 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.656 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.656 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.656 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.656 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 7.657 * [backup-simplify]: Simplify (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) into (pow (pow (+ N 1) 2) 1/9) 7.657 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/9) in (N) around 0 7.657 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/9) in N 7.657 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ N 1) 2)))) in N 7.657 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ N 1) 2))) in N 7.657 * [taylor]: Taking taylor expansion of 1/9 in N 7.657 * [backup-simplify]: Simplify 1/9 into 1/9 7.657 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 7.657 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 7.657 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.657 * [taylor]: Taking taylor expansion of N in N 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of 1 in N 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (+ 0 1) into 1 7.658 * [backup-simplify]: Simplify (* 1 1) into 1 7.658 * [backup-simplify]: Simplify (log 1) into 0 7.658 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.658 * [backup-simplify]: Simplify (+ 1 0) into 1 7.659 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.660 * [backup-simplify]: Simplify (+ (* 1/9 2) (* 0 0)) into 2/9 7.660 * [backup-simplify]: Simplify (exp 0) into 1 7.660 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/9) in N 7.660 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ N 1) 2)))) in N 7.660 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ N 1) 2))) in N 7.660 * [taylor]: Taking taylor expansion of 1/9 in N 7.660 * [backup-simplify]: Simplify 1/9 into 1/9 7.660 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 7.660 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 7.660 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.660 * [taylor]: Taking taylor expansion of N in N 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [taylor]: Taking taylor expansion of 1 in N 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (+ 0 1) into 1 7.661 * [backup-simplify]: Simplify (* 1 1) into 1 7.661 * [backup-simplify]: Simplify (log 1) into 0 7.661 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.661 * [backup-simplify]: Simplify (+ 1 0) into 1 7.662 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.663 * [backup-simplify]: Simplify (+ (* 1/9 2) (* 0 0)) into 2/9 7.663 * [backup-simplify]: Simplify (exp 0) into 1 7.664 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/9 1) 1)))) into 2/9 7.665 * [backup-simplify]: Simplify 2/9 into 2/9 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 7.670 * [backup-simplify]: Simplify (+ (* 1/9 -1) (+ (* 0 2) (* 0 0))) into -1/9 7.671 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/9 2) 2)) (* (/ (pow -1/9 1) 1)))) into -7/81 7.671 * [backup-simplify]: Simplify -7/81 into -7/81 7.671 * [backup-simplify]: Simplify (+ (* -7/81 (pow N 2)) (+ (* 2/9 N) 1)) into (- (+ (* 2/9 N) 1) (* 7/81 (pow N 2))) 7.671 * [backup-simplify]: Simplify (cbrt (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) into (pow (pow (+ (/ 1 N) 1) 2) 1/9) 7.671 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/9) in (N) around 0 7.671 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/9) in N 7.671 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ (/ 1 N) 1) 2)))) in N 7.671 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ (/ 1 N) 1) 2))) in N 7.671 * [taylor]: Taking taylor expansion of 1/9 in N 7.671 * [backup-simplify]: Simplify 1/9 into 1/9 7.671 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 7.672 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 7.672 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.672 * [taylor]: Taking taylor expansion of N in N 7.672 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify 1 into 1 7.672 * [backup-simplify]: Simplify (/ 1 1) into 1 7.672 * [taylor]: Taking taylor expansion of 1 in N 7.672 * [backup-simplify]: Simplify 1 into 1 7.672 * [backup-simplify]: Simplify (+ 1 0) into 1 7.672 * [backup-simplify]: Simplify (* 1 1) into 1 7.673 * [backup-simplify]: Simplify (log 1) into 0 7.673 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.673 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 7.673 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 7.673 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/9) in N 7.673 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ (/ 1 N) 1) 2)))) in N 7.673 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ (/ 1 N) 1) 2))) in N 7.673 * [taylor]: Taking taylor expansion of 1/9 in N 7.673 * [backup-simplify]: Simplify 1/9 into 1/9 7.673 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 7.673 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 7.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.673 * [taylor]: Taking taylor expansion of N in N 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [backup-simplify]: Simplify (/ 1 1) into 1 7.673 * [taylor]: Taking taylor expansion of 1 in N 7.674 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (+ 1 0) into 1 7.674 * [backup-simplify]: Simplify (* 1 1) into 1 7.674 * [backup-simplify]: Simplify (log 1) into 0 7.675 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.675 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 7.675 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 7.675 * [backup-simplify]: Simplify (pow N -2/9) into (pow N -2/9) 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (+ 0 1) into 1 7.676 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.677 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.677 * [backup-simplify]: Simplify (+ (* 1/9 2) (* 0 (- (* 2 (log N))))) into 2/9 7.678 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow 2/9 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/9)) 7.678 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/9)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/9)) 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ 0 0) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 7.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.682 * [backup-simplify]: Simplify (+ (* 1/9 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/9) 7.683 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow 2/9 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) 7.683 * [backup-simplify]: Simplify (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) into (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) 7.684 * [backup-simplify]: Simplify (+ (* (* -7/81 (pow (/ 1 (pow (/ 1 N) 2)) 1/9)) (pow (/ 1 N) 2)) (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/9)) (/ 1 N)) (pow (/ 1 N) -2/9))) into (- (+ (* 2/9 (pow (/ 1 (pow N 7)) 1/9)) (pow (/ 1 N) -2/9)) (* 7/81 (pow (/ 1 (pow N 16)) 1/9))) 7.684 * [backup-simplify]: Simplify (cbrt (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) into (pow (pow (- 1 (/ 1 N)) 2) 1/9) 7.684 * [approximate]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/9) in (N) around 0 7.684 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/9) in N 7.684 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (- 1 (/ 1 N)) 2)))) in N 7.684 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (- 1 (/ 1 N)) 2))) in N 7.684 * [taylor]: Taking taylor expansion of 1/9 in N 7.684 * [backup-simplify]: Simplify 1/9 into 1/9 7.684 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 7.684 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 7.684 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.684 * [taylor]: Taking taylor expansion of 1 in N 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.684 * [taylor]: Taking taylor expansion of N in N 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [backup-simplify]: Simplify (- 1) into -1 7.685 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.685 * [backup-simplify]: Simplify (* -1 -1) into 1 7.686 * [backup-simplify]: Simplify (log 1) into 0 7.686 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.686 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 7.686 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 7.686 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/9) in N 7.686 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (- 1 (/ 1 N)) 2)))) in N 7.686 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (- 1 (/ 1 N)) 2))) in N 7.686 * [taylor]: Taking taylor expansion of 1/9 in N 7.686 * [backup-simplify]: Simplify 1/9 into 1/9 7.686 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 7.686 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 7.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.686 * [taylor]: Taking taylor expansion of 1 in N 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.686 * [taylor]: Taking taylor expansion of N in N 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [backup-simplify]: Simplify (- 1) into -1 7.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.687 * [backup-simplify]: Simplify (* -1 -1) into 1 7.688 * [backup-simplify]: Simplify (log 1) into 0 7.688 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.688 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 7.688 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 7.688 * [backup-simplify]: Simplify (pow N -2/9) into (pow N -2/9) 7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.689 * [backup-simplify]: Simplify (- 0) into 0 7.689 * [backup-simplify]: Simplify (+ 1 0) into 1 7.689 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 7.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 7.691 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.691 * [backup-simplify]: Simplify (+ (* 1/9 -2) (* 0 (- (* 2 (log N))))) into (- 2/9) 7.692 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow (- 2/9) 1) 1)))) into (* -2/9 (pow (/ 1 (pow N 2)) 1/9)) 7.692 * [backup-simplify]: Simplify (* -2/9 (pow (/ 1 (pow N 2)) 1/9)) into (* -2/9 (pow (/ 1 (pow N 2)) 1/9)) 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (- 0) into 0 7.693 * [backup-simplify]: Simplify (+ 0 0) into 0 7.693 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 7.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 7.695 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.696 * [backup-simplify]: Simplify (+ (* 1/9 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/9) 7.697 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow (- 2/9) 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) 7.697 * [backup-simplify]: Simplify (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) into (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) 7.698 * [backup-simplify]: Simplify (+ (* (* -7/81 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/9)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/9)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/9))) into (- (+ (pow (/ -1 N) -2/9) (* 2/9 (pow (/ 1 (pow N 7)) 1/9))) (* 7/81 (pow (/ 1 (pow N 16)) 1/9))) 7.698 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2) 7.698 * [backup-simplify]: Simplify (cbrt (cbrt (+ N 1))) into (pow (+ N 1) 1/9) 7.698 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/9) in (N) around 0 7.698 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/9) in N 7.698 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1)))) in N 7.698 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1))) in N 7.698 * [taylor]: Taking taylor expansion of 1/9 in N 7.698 * [backup-simplify]: Simplify 1/9 into 1/9 7.698 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 7.698 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.698 * [taylor]: Taking taylor expansion of N in N 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [taylor]: Taking taylor expansion of 1 in N 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (+ 0 1) into 1 7.698 * [backup-simplify]: Simplify (log 1) into 0 7.699 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.699 * [backup-simplify]: Simplify (+ 1 0) into 1 7.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.700 * [backup-simplify]: Simplify (+ (* 1/9 1) (* 0 0)) into 1/9 7.700 * [backup-simplify]: Simplify (exp 0) into 1 7.700 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/9) in N 7.700 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1)))) in N 7.700 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1))) in N 7.700 * [taylor]: Taking taylor expansion of 1/9 in N 7.700 * [backup-simplify]: Simplify 1/9 into 1/9 7.700 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 7.700 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.700 * [taylor]: Taking taylor expansion of N in N 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [taylor]: Taking taylor expansion of 1 in N 7.700 * [backup-simplify]: Simplify 1 into 1 7.701 * [backup-simplify]: Simplify (+ 0 1) into 1 7.701 * [backup-simplify]: Simplify (log 1) into 0 7.702 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.702 * [backup-simplify]: Simplify (+ 1 0) into 1 7.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.711 * [backup-simplify]: Simplify (+ (* 1/9 1) (* 0 0)) into 1/9 7.711 * [backup-simplify]: Simplify (exp 0) into 1 7.711 * [backup-simplify]: Simplify 1 into 1 7.712 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/9 1) 1)))) into 1/9 7.712 * [backup-simplify]: Simplify 1/9 into 1/9 7.712 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.716 * [backup-simplify]: Simplify (+ (* 1/9 -1/2) (+ (* 0 1) (* 0 0))) into -1/18 7.718 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/9 2) 2)) (* (/ (pow -1/18 1) 1)))) into -4/81 7.718 * [backup-simplify]: Simplify -4/81 into -4/81 7.718 * [backup-simplify]: Simplify (+ (* -4/81 (pow N 2)) (+ (* 1/9 N) 1)) into (- (+ (* 1/9 N) 1) (* 4/81 (pow N 2))) 7.718 * [backup-simplify]: Simplify (cbrt (cbrt (+ (/ 1 N) 1))) into (pow (+ (/ 1 N) 1) 1/9) 7.718 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/9) in (N) around 0 7.718 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/9) in N 7.718 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1)))) in N 7.718 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1))) in N 7.718 * [taylor]: Taking taylor expansion of 1/9 in N 7.718 * [backup-simplify]: Simplify 1/9 into 1/9 7.718 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 7.718 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.718 * [taylor]: Taking taylor expansion of N in N 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (/ 1 1) into 1 7.719 * [taylor]: Taking taylor expansion of 1 in N 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (+ 1 0) into 1 7.720 * [backup-simplify]: Simplify (log 1) into 0 7.720 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.720 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 7.720 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 7.720 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/9) in N 7.720 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1)))) in N 7.720 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1))) in N 7.720 * [taylor]: Taking taylor expansion of 1/9 in N 7.720 * [backup-simplify]: Simplify 1/9 into 1/9 7.720 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 7.720 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.720 * [taylor]: Taking taylor expansion of N in N 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [taylor]: Taking taylor expansion of 1 in N 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (+ 1 0) into 1 7.722 * [backup-simplify]: Simplify (log 1) into 0 7.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.722 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 7.722 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 7.722 * [backup-simplify]: Simplify (pow N -1/9) into (pow N -1/9) 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (+ 0 1) into 1 7.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.724 * [backup-simplify]: Simplify (+ (* 1/9 1) (* 0 (- (log N)))) into 1/9 7.725 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 1/9 1) 1)))) into (* 1/9 (pow (/ 1 N) 1/9)) 7.725 * [backup-simplify]: Simplify (* 1/9 (pow (/ 1 N) 1/9)) into (* 1/9 (pow (/ 1 N) 1/9)) 7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ 0 0) into 0 7.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.729 * [backup-simplify]: Simplify (+ (* 1/9 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/18) 7.731 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -4/81 (pow (/ 1 N) 1/9)) 7.731 * [backup-simplify]: Simplify (* -4/81 (pow (/ 1 N) 1/9)) into (* -4/81 (pow (/ 1 N) 1/9)) 7.732 * [backup-simplify]: Simplify (+ (* (* -4/81 (pow (/ 1 (/ 1 N)) 1/9)) (pow (/ 1 N) 2)) (+ (* (* 1/9 (pow (/ 1 (/ 1 N)) 1/9)) (/ 1 N)) (pow (/ 1 N) -1/9))) into (- (+ (* 1/9 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 4/81 (pow (/ 1 (pow N 17)) 1/9))) 7.732 * [backup-simplify]: Simplify (cbrt (cbrt (+ (/ 1 (- N)) 1))) into (pow (- 1 (/ 1 N)) 1/9) 7.732 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/9) in (N) around 0 7.732 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/9) in N 7.732 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1 (/ 1 N))))) in N 7.732 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1 (/ 1 N)))) in N 7.732 * [taylor]: Taking taylor expansion of 1/9 in N 7.732 * [backup-simplify]: Simplify 1/9 into 1/9 7.732 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 7.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.732 * [taylor]: Taking taylor expansion of 1 in N 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.732 * [taylor]: Taking taylor expansion of N in N 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (/ 1 1) into 1 7.733 * [backup-simplify]: Simplify (- 1) into -1 7.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.734 * [backup-simplify]: Simplify (log -1) into (log -1) 7.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.735 * [backup-simplify]: Simplify (* 1/9 (- (log -1) (log N))) into (* 1/9 (- (log -1) (log N))) 7.736 * [backup-simplify]: Simplify (exp (* 1/9 (- (log -1) (log N)))) into (exp (* 1/9 (- (log -1) (log N)))) 7.736 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/9) in N 7.736 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1 (/ 1 N))))) in N 7.736 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1 (/ 1 N)))) in N 7.736 * [taylor]: Taking taylor expansion of 1/9 in N 7.736 * [backup-simplify]: Simplify 1/9 into 1/9 7.736 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 7.736 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.736 * [taylor]: Taking taylor expansion of 1 in N 7.736 * [backup-simplify]: Simplify 1 into 1 7.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.736 * [taylor]: Taking taylor expansion of N in N 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (/ 1 1) into 1 7.736 * [backup-simplify]: Simplify (- 1) into -1 7.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.737 * [backup-simplify]: Simplify (log -1) into (log -1) 7.737 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.738 * [backup-simplify]: Simplify (* 1/9 (- (log -1) (log N))) into (* 1/9 (- (log -1) (log N))) 7.738 * [backup-simplify]: Simplify (exp (* 1/9 (- (log -1) (log N)))) into (exp (* 1/9 (- (log -1) (log N)))) 7.738 * [backup-simplify]: Simplify (exp (* 1/9 (- (log -1) (log N)))) into (exp (* 1/9 (- (log -1) (log N)))) 7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (- 0) into 0 7.740 * [backup-simplify]: Simplify (+ 1 0) into 1 7.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 7.742 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.743 * [backup-simplify]: Simplify (+ (* 1/9 -1) (* 0 (- (log -1) (log N)))) into (- 1/9) 7.745 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/9 (- (log -1) (log N))))) 7.745 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/9 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/9 (- (log -1) (log N))))) 7.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (- 0) into 0 7.747 * [backup-simplify]: Simplify (+ 0 0) into 0 7.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 7.751 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.752 * [backup-simplify]: Simplify (+ (* 1/9 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/18) 7.754 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -4/81 (exp (* 1/9 (- (log -1) (log N))))) 7.754 * [backup-simplify]: Simplify (* -4/81 (exp (* 1/9 (- (log -1) (log N))))) into (* -4/81 (exp (* 1/9 (- (log -1) (log N))))) 7.756 * [backup-simplify]: Simplify (+ (* (* -4/81 (exp (* 1/9 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/9 (exp (* 1/9 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/9 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N))) (* 4/81 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 7.756 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 2 1) 7.757 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 7.757 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 7.757 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 7.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 7.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 7.757 * [taylor]: Taking taylor expansion of 1/3 in N 7.757 * [backup-simplify]: Simplify 1/3 into 1/3 7.757 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 7.757 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.757 * [taylor]: Taking taylor expansion of N in N 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [taylor]: Taking taylor expansion of 1 in N 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (+ 0 1) into 1 7.758 * [backup-simplify]: Simplify (log 1) into 0 7.758 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.759 * [backup-simplify]: Simplify (+ 1 0) into 1 7.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.760 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.761 * [backup-simplify]: Simplify (exp 0) into 1 7.761 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 7.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 7.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 7.761 * [taylor]: Taking taylor expansion of 1/3 in N 7.761 * [backup-simplify]: Simplify 1/3 into 1/3 7.761 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 7.761 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.761 * [taylor]: Taking taylor expansion of N in N 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [taylor]: Taking taylor expansion of 1 in N 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (+ 0 1) into 1 7.762 * [backup-simplify]: Simplify (log 1) into 0 7.762 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.763 * [backup-simplify]: Simplify (+ 1 0) into 1 7.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.765 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.765 * [backup-simplify]: Simplify (exp 0) into 1 7.765 * [backup-simplify]: Simplify 1 into 1 7.766 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 7.766 * [backup-simplify]: Simplify 1/3 into 1/3 7.767 * [backup-simplify]: Simplify (+ 0 0) into 0 7.770 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.772 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 7.774 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 7.774 * [backup-simplify]: Simplify -1/9 into -1/9 7.774 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 7.774 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 7.774 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 7.774 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 7.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 7.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 7.775 * [taylor]: Taking taylor expansion of 1/3 in N 7.775 * [backup-simplify]: Simplify 1/3 into 1/3 7.775 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 7.775 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.775 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.775 * [taylor]: Taking taylor expansion of N in N 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [taylor]: Taking taylor expansion of 1 in N 7.775 * [backup-simplify]: Simplify 1 into 1 7.776 * [backup-simplify]: Simplify (+ 1 0) into 1 7.776 * [backup-simplify]: Simplify (log 1) into 0 7.777 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.777 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.777 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.777 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 7.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 7.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 7.777 * [taylor]: Taking taylor expansion of 1/3 in N 7.777 * [backup-simplify]: Simplify 1/3 into 1/3 7.777 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 7.777 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.777 * [taylor]: Taking taylor expansion of N in N 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify (/ 1 1) into 1 7.778 * [taylor]: Taking taylor expansion of 1 in N 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify (+ 1 0) into 1 7.779 * [backup-simplify]: Simplify (log 1) into 0 7.779 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.779 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.779 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.779 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (+ 0 1) into 1 7.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.782 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.783 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 7.784 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 7.784 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (+ 0 0) into 0 7.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.789 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 7.790 * [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)) 7.791 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 7.791 * [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))) 7.791 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 7.791 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 7.791 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 7.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 7.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 7.792 * [taylor]: Taking taylor expansion of 1/3 in N 7.792 * [backup-simplify]: Simplify 1/3 into 1/3 7.792 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 7.792 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.792 * [taylor]: Taking taylor expansion of 1 in N 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.792 * [taylor]: Taking taylor expansion of N in N 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.792 * [backup-simplify]: Simplify (- 1) into -1 7.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.793 * [backup-simplify]: Simplify (log -1) into (log -1) 7.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.794 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.795 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.795 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 7.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 7.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 7.795 * [taylor]: Taking taylor expansion of 1/3 in N 7.795 * [backup-simplify]: Simplify 1/3 into 1/3 7.795 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 7.795 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.795 * [taylor]: Taking taylor expansion of 1 in N 7.795 * [backup-simplify]: Simplify 1 into 1 7.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.795 * [taylor]: Taking taylor expansion of N in N 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.795 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [backup-simplify]: Simplify (- 1) into -1 7.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.797 * [backup-simplify]: Simplify (log -1) into (log -1) 7.797 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.798 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.798 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.799 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.800 * [backup-simplify]: Simplify (- 0) into 0 7.800 * [backup-simplify]: Simplify (+ 1 0) into 1 7.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 7.802 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.803 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 7.804 * [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))))) 7.804 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.805 * [backup-simplify]: Simplify (- 0) into 0 7.806 * [backup-simplify]: Simplify (+ 0 0) into 0 7.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 7.809 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.810 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 7.812 * [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))))) 7.813 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 7.814 * [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)))) 7.814 * * * [progress]: simplifying candidates 7.814 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 7.814 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 7.814 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 8 / 71 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N)))))))> 7.815 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 11 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 20 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 7.815 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 26 / 71 ] simplifiying candidate #real (real->posit16 (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))))) (cbrt (cbrt (+ N 1)))) N)))))> 7.816 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 38 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 7.816 * * * * [progress]: [ 44 / 71 ] simplifiying candidate #real (real->posit16 (cbrt (cbrt (+ N 1)))))) N)))))> 7.816 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 58 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 59 / 71 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))))) N)))))> 7.817 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 7.817 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 7.818 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (exp (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (* (* (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1)))) N))))) (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (exp (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))) (cbrt (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (pow N 3) (pow 1 3))))) (cbrt (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (cbrt (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (- (* N N) (* 1 1))))) (cbrt (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1)))) (cbrt (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ (pow N 3) (pow 1 3))))) (cbrt (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (cbrt (* (cbrt (- (* N N) (* 1 1))) (cbrt (- (* N N) (* 1 1))))) (cbrt (* (cbrt (- N 1)) (cbrt (- N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))))) (cbrt (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (cbrt (* (cbrt (+ N 1)) (cbrt (- (* N N) (* 1 1))))) (cbrt (cbrt (- N 1))) (cbrt (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ N 1)))) (cbrt (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (cbrt (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1)))) (cbrt (cbrt (- N 1))) (* (cbrt (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))))) (cbrt (cbrt (* (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 (+ N 1))))) (sqrt (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (sqrt (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (real->posit16 (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (log (cbrt (cbrt (+ N 1)))) (exp (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (sqrt (+ N 1)))) (cbrt (cbrt (sqrt (+ N 1)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1))) (cbrt (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) (cbrt (cbrt (cbrt (+ N 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1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (- (+ (* 2/9 N) 1) (* 7/81 (pow N 2))) (- (+ (* 2/9 (pow (/ 1 (pow N 7)) 1/9)) (pow (/ 1 N) -2/9)) (* 7/81 (pow (/ 1 (pow N 16)) 1/9))) (- (+ (pow (/ -1 N) -2/9) (* 2/9 (pow (/ 1 (pow N 7)) 1/9))) (* 7/81 (pow (/ 1 (pow N 16)) 1/9))) (- (+ (* 1/9 N) 1) (* 4/81 (pow N 2))) (- (+ (* 1/9 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 4/81 (pow (/ 1 (pow N 17)) 1/9))) (- (+ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N))) (* 4/81 (/ (exp (* 1/9 (- (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)))) 7.820 * * [simplify]: iteration 0: 178 enodes 7.861 * * [simplify]: iteration 1: 355 enodes 7.958 * * [simplify]: iteration 2: 786 enodes 8.290 * * [simplify]: iteration 3: 1947 enodes 8.794 * * [simplify]: iteration complete: 5000 enodes 8.794 * * [simplify]: Extracting #0: cost 60 inf + 0 8.794 * * [simplify]: Extracting #1: cost 215 inf + 1 8.796 * * [simplify]: Extracting #2: cost 720 inf + 47 8.800 * * [simplify]: Extracting #3: cost 978 inf + 7437 8.810 * * [simplify]: Extracting #4: cost 961 inf + 57612 8.835 * * [simplify]: Extracting #5: cost 863 inf + 168407 8.882 * * [simplify]: Extracting #6: cost 527 inf + 256960 8.930 * * [simplify]: Extracting #7: cost 273 inf + 358232 8.995 * * [simplify]: Extracting #8: cost 44 inf + 456573 9.058 * * [simplify]: Extracting #9: cost 0 inf + 477034 9.163 * * [simplify]: Extracting #10: cost 0 inf + 476042 9.232 * * [simplify]: Extracting #11: cost 0 inf + 475780 9.308 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N)))))) (exp (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N)))))) (* (cbrt (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N)))))) (cbrt (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N))))))) (cbrt (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N)))))) (* (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N))))) (* (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N))))) (atan2 1 (+ 1 (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N))))))) (sqrt (atan2 1 (+ 1 (* (cbrt (* 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1 (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ (* (* N N) N) 1))) (cbrt (cbrt (+ (- 1 N) (* N N)))) (cbrt (cbrt (+ (* N N) -1))) (cbrt (cbrt (- N 1))) (* (cbrt (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (cbrt (+ 1 N))))) (cbrt (cbrt (cbrt (+ 1 N)))) (cbrt (+ 1 N)) (sqrt (cbrt (cbrt (+ 1 N)))) (sqrt (cbrt (cbrt (+ 1 N)))) (real->posit16 (cbrt (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 (+ (- 1 N) (* N N))) (cbrt (+ (* N N) -1)) (cbrt (- N 1)) (* (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))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (- 1 (* N (- (* N 7/81) 2/9))) (+ (* 2/9 (pow (/ 1 (pow N 7)) 1/9)) (+ (pow (/ 1 N) -2/9) (* -7/81 (pow (/ (/ 1 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) (* (* (* N N) (* N N)) (* (* N N) (* N N)))) 1/9)))) (+ (* 2/9 (pow (/ 1 (pow N 7)) 1/9)) (+ (pow (/ -1 N) -2/9) (* -7/81 (pow (/ (/ 1 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) (* (* (* N N) (* N N)) (* (* N N) (* N N)))) 1/9)))) (- 1 (* N (- (* 4/81 N) 1/9))) (+ (+ (pow (/ 1 N) -1/9) (* (pow (/ 1 (pow N 17)) 1/9) -4/81)) (* (pow (/ 1 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) 1/9) 1/9)) (+ (/ 1/9 (/ N (exp (* (log N) 1/9)))) (+ (exp (* (log N) 1/9)) (* (/ -4/81 N) (/ (exp (* (log N) 1/9)) N)))) (- 1 (* N (- (* 1/9 N) 1/3))) (+ (pow (/ 1 N) -1/3) (+ (* (cbrt (/ 1 (* N N))) 1/3) (* (cbrt (/ 1 (pow N 5))) -1/9))) (+ (exp (* (log N) 1/3)) (+ (* (/ (exp (* (log N) 1/3)) (* N N)) -1/9) (/ (exp (* (log N) 1/3)) (/ N 1/3)))) 9.318 * * * [progress]: adding candidates to table 9.824 * [progress]: [Phase 3 of 3] Extracting. 9.824 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.825 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.825 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 9.864 * * * [regime]: Found split indices: #