23.073 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: Extracting # 3 : cost 0 0.062 * * [simplify]: Extracting # 4 : cost 0 0.062 * * [simplify]: Extracting # 5 : cost 0 0.062 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.068 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.088 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.088 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.104 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.104 * [taylor]: Taking taylor expansion of (atan N) in N 0.104 * [backup-simplify]: Simplify (atan N) into (atan N) 0.104 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.104 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.104 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.104 * [taylor]: Taking taylor expansion of (atan N) in N 0.104 * [backup-simplify]: Simplify (atan N) into (atan N) 0.105 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.105 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.105 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.110 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.110 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.110 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 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 N) 1.0)) (atan (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 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 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.111 * [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 0.112 * [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 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.114 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.114 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.114 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.114 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.115 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.115 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.115 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.118 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.118 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.119 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.119 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.119 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.119 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.119 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.119 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.119 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.119 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.119 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.119 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.119 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.119 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.119 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.120 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.120 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.120 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.120 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.120 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.120 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.120 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.120 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: Extracting # 5 : cost 0 0.122 * * [simplify]: Extracting # 6 : cost 0 0.122 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: Extracting # 3 : cost 0 0.130 * * [simplify]: Extracting # 4 : cost 0 0.130 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.148 * * [simplify]: Extracting # 0 : cost 0 0.148 * * [simplify]: Extracting # 1 : cost 0 0.148 * * [simplify]: Extracting # 2 : cost 0 0.148 * * [simplify]: Extracting # 3 : cost 0 0.149 * * [simplify]: iteration 2 : 151 enodes (cost 245 ) 0.221 * * [simplify]: Extracting # 0 : cost 0 0.221 * * [simplify]: Extracting # 1 : cost 0 0.222 * * [simplify]: Extracting # 2 : cost 0 0.222 * * [simplify]: Extracting # 3 : cost 0 0.223 * * [simplify]: Extracting # 4 : cost 0 0.223 * * [simplify]: iteration 3 : 326 enodes (cost 241 ) 0.344 * * [simplify]: Extracting # 0 : cost 0 0.345 * * [simplify]: Extracting # 1 : cost 0 0.347 * * [simplify]: Extracting # 2 : cost 0 0.348 * * [simplify]: Extracting # 3 : cost 0 0.349 * * [simplify]: Extracting # 4 : cost 0 0.350 * * [simplify]: iteration 4 : 966 enodes (cost 239 ) 0.844 * * [simplify]: Extracting # 0 : cost 0 0.849 * * [simplify]: Extracting # 1 : cost 0 0.854 * * [simplify]: Extracting # 2 : cost 0 0.858 * * [simplify]: Extracting # 3 : cost 0 0.862 * * [simplify]: Extracting # 4 : cost 0 0.874 * * [simplify]: iteration 5 : 3321 enodes (cost 239 ) 2.260 * * [simplify]: Extracting # 0 : cost 0 2.268 * * [simplify]: Extracting # 1 : cost 0 2.276 * * [simplify]: Extracting # 2 : cost 0 2.285 * * [simplify]: Extracting # 3 : cost 0 2.297 * * [simplify]: Extracting # 4 : cost 0 2.305 * * [simplify]: Extracting # 5 : cost 0 2.313 * * [simplify]: iteration done: 5001 enodes (cost 239 ) 2.314 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 2.314 * * * [progress]: adding candidates to table 2.450 * * [progress]: iteration 2 / 4 2.450 * * * [progress]: picking best candidate 2.454 * * * * [pick]: Picked # 2.454 * * * [progress]: localizing error 2.473 * * * [progress]: generating rewritten candidates 2.474 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.474 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.520 * * * [progress]: generating series expansions 2.520 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.520 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.520 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.520 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.521 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.521 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.521 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.521 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.522 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.522 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.522 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.522 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.522 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.523 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.523 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.524 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.524 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.525 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.525 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.525 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.525 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.526 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.526 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.526 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.526 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of 1.0 in N 2.527 * [backup-simplify]: Simplify 1.0 into 1.0 2.527 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.527 * [taylor]: Taking taylor expansion of N in N 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.527 * [taylor]: Taking taylor expansion of N in N 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of 1.0 in N 2.527 * [backup-simplify]: Simplify 1.0 into 1.0 2.528 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.528 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ 1 0) into 1 2.530 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.530 * [backup-simplify]: Simplify 1.0 into 1.0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.549 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.550 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.550 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.550 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.550 * [taylor]: Taking taylor expansion of N in N 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (/ 1 1) into 1 2.551 * [taylor]: Taking taylor expansion of 1.0 in N 2.551 * [backup-simplify]: Simplify 1.0 into 1.0 2.551 * [taylor]: Taking taylor expansion of N in N 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (+ 1 0) into 1 2.552 * [backup-simplify]: Simplify (/ 1 1) into 1 2.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.552 * [taylor]: Taking taylor expansion of N in N 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (/ 1 1) into 1 2.552 * [taylor]: Taking taylor expansion of 1.0 in N 2.552 * [backup-simplify]: Simplify 1.0 into 1.0 2.552 * [taylor]: Taking taylor expansion of N in N 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.553 * [backup-simplify]: Simplify (+ 1 0) into 1 2.553 * [backup-simplify]: Simplify (/ 1 1) into 1 2.553 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.556 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.556 * [backup-simplify]: Simplify 1.0 into 1.0 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (+ 0 0) into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify 0 into 0 2.569 * [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 2.570 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.572 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.572 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.572 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.572 * [taylor]: Taking taylor expansion of -1 in N 2.572 * [backup-simplify]: Simplify -1 into -1 2.572 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.572 * [taylor]: Taking taylor expansion of 1.0 in N 2.572 * [backup-simplify]: Simplify 1.0 into 1.0 2.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.572 * [taylor]: Taking taylor expansion of N in N 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (/ 1 1) into 1 2.572 * [taylor]: Taking taylor expansion of N in N 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.573 * [backup-simplify]: Simplify (- 1) into -1 2.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.574 * [backup-simplify]: Simplify (/ -1 1) into -1 2.574 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.574 * [taylor]: Taking taylor expansion of -1 in N 2.574 * [backup-simplify]: Simplify -1 into -1 2.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.574 * [taylor]: Taking taylor expansion of 1.0 in N 2.574 * [backup-simplify]: Simplify 1.0 into 1.0 2.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.574 * [taylor]: Taking taylor expansion of N in N 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 1 into 1 2.574 * [backup-simplify]: Simplify (/ 1 1) into 1 2.574 * [taylor]: Taking taylor expansion of N in N 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (- 1) into -1 2.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.576 * [backup-simplify]: Simplify (/ -1 1) into -1 2.576 * [backup-simplify]: Simplify (* -1 -1) into 1 2.576 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.580 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.582 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.582 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (- 0) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (- 0) into 0 2.588 * [backup-simplify]: Simplify (+ 0 0) into 0 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (- 0) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (- 0) into 0 2.596 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (- 0) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [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 2.606 * [backup-simplify]: Simplify (- 0) into 0 2.606 * [backup-simplify]: Simplify (+ 0 0) into 0 2.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.611 * * * [progress]: simplifying candidates 2.612 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 2.613 * * [simplify]: Extracting # 0 : cost 0 2.613 * * [simplify]: Extracting # 1 : cost 0 2.613 * * [simplify]: Extracting # 2 : cost 0 2.614 * * [simplify]: Extracting # 3 : cost 0 2.614 * * [simplify]: Extracting # 4 : cost 0 2.614 * * [simplify]: Extracting # 5 : cost 0 2.614 * * [simplify]: Extracting # 6 : cost 0 2.614 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.637 * * [simplify]: Extracting # 0 : cost 0 2.637 * * [simplify]: Extracting # 1 : cost 0 2.637 * * [simplify]: Extracting # 2 : cost 0 2.637 * * [simplify]: Extracting # 3 : cost 0 2.637 * * [simplify]: Extracting # 4 : cost 0 2.638 * * [simplify]: iteration 1 : 127 enodes (cost 312 ) 2.698 * * [simplify]: Extracting # 0 : cost 0 2.699 * * [simplify]: Extracting # 1 : cost 0 2.700 * * [simplify]: Extracting # 2 : cost 0 2.700 * * [simplify]: Extracting # 3 : cost 0 2.701 * * [simplify]: Extracting # 4 : cost 0 2.702 * * [simplify]: iteration 2 : 694 enodes (cost 264 ) 3.048 * * [simplify]: Extracting # 0 : cost 0 3.069 * * [simplify]: Extracting # 1 : cost 0 3.078 * * [simplify]: Extracting # 2 : cost 0 3.091 * * [simplify]: Extracting # 3 : cost 0 3.104 * * [simplify]: Extracting # 4 : cost 0 3.112 * * [simplify]: iteration done: 5000 enodes (cost 264 ) 3.112 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ 1.0 N) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (+ 1.0 N) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ 1.0 N) N) (* (+ 1.0 N) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (+ N 1.0)) 3.113 * * * [progress]: adding candidates to table 3.236 * * [progress]: iteration 3 / 4 3.236 * * * [progress]: picking best candidate 3.257 * * * * [pick]: Picked # 3.257 * * * [progress]: localizing error 3.292 * * * [progress]: generating rewritten candidates 3.292 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 3.307 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 3.327 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 3.342 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.380 * * * [progress]: generating series expansions 3.380 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 3.380 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 3.380 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 3.380 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.380 * [taylor]: Taking taylor expansion of 1/3 in N 3.381 * [backup-simplify]: Simplify 1/3 into 1/3 3.381 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.381 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.381 * [taylor]: Taking taylor expansion of N in N 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 1 into 1 3.381 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.381 * [taylor]: Taking taylor expansion of N in N 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 1 into 1 3.381 * [taylor]: Taking taylor expansion of 1.0 in N 3.381 * [backup-simplify]: Simplify 1.0 into 1.0 3.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.382 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.382 * [backup-simplify]: Simplify (+ 1 0) into 1 3.384 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.384 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.385 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.385 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.385 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.385 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.385 * [taylor]: Taking taylor expansion of 1/3 in N 3.386 * [backup-simplify]: Simplify 1/3 into 1/3 3.386 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.386 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.386 * [taylor]: Taking taylor expansion of N in N 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.386 * [taylor]: Taking taylor expansion of N in N 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [taylor]: Taking taylor expansion of 1.0 in N 3.386 * [backup-simplify]: Simplify 1.0 into 1.0 3.386 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.386 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.387 * [backup-simplify]: Simplify (+ 1 0) into 1 3.387 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.388 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.388 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.389 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.389 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.389 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.393 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.394 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 3.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.396 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.403 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.405 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 3.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.413 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.418 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 3.419 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 3.419 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 3.419 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.419 * [taylor]: Taking taylor expansion of 1/3 in N 3.419 * [backup-simplify]: Simplify 1/3 into 1/3 3.419 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.419 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.419 * [taylor]: Taking taylor expansion of N in N 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [taylor]: Taking taylor expansion of 1.0 in N 3.420 * [backup-simplify]: Simplify 1.0 into 1.0 3.420 * [taylor]: Taking taylor expansion of N in N 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (+ 1 0) into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [backup-simplify]: Simplify (log 1) into 0 3.422 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.422 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.422 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.422 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.422 * [taylor]: Taking taylor expansion of 1/3 in N 3.422 * [backup-simplify]: Simplify 1/3 into 1/3 3.422 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.423 * [taylor]: Taking taylor expansion of 1.0 in N 3.423 * [backup-simplify]: Simplify 1.0 into 1.0 3.423 * [taylor]: Taking taylor expansion of N in N 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (+ 1 0) into 1 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [backup-simplify]: Simplify (log 1) into 0 3.424 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.425 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.425 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.425 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.428 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.441 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.442 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 3.444 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.444 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.458 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.459 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 3.466 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.466 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.467 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 3.467 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 3.467 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 3.467 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 3.467 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.467 * [taylor]: Taking taylor expansion of -1 in N 3.467 * [backup-simplify]: Simplify -1 into -1 3.468 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.469 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.469 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.469 * [taylor]: Taking taylor expansion of 1/3 in N 3.469 * [backup-simplify]: Simplify 1/3 into 1/3 3.469 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.469 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.469 * [taylor]: Taking taylor expansion of 1.0 in N 3.469 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.469 * [taylor]: Taking taylor expansion of N in N 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of N in N 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (- 1) into -1 3.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.471 * [backup-simplify]: Simplify (/ -1 1) into -1 3.471 * [backup-simplify]: Simplify (log -1) into (log -1) 3.472 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.472 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.473 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.473 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 3.473 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.473 * [taylor]: Taking taylor expansion of -1 in N 3.473 * [backup-simplify]: Simplify -1 into -1 3.473 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.474 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.474 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.474 * [taylor]: Taking taylor expansion of 1/3 in N 3.474 * [backup-simplify]: Simplify 1/3 into 1/3 3.474 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.475 * [taylor]: Taking taylor expansion of 1.0 in N 3.475 * [backup-simplify]: Simplify 1.0 into 1.0 3.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.475 * [taylor]: Taking taylor expansion of N in N 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.475 * [taylor]: Taking taylor expansion of N in N 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (- 1) into -1 3.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.476 * [backup-simplify]: Simplify (/ -1 1) into -1 3.477 * [backup-simplify]: Simplify (log -1) into (log -1) 3.477 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.478 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.478 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.479 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.479 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (- 0) into 0 3.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.481 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.486 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.486 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 3.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.489 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.490 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (- 0) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.499 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.500 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 3.503 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.506 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.507 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.509 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 3.509 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 3.509 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 3.509 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 3.509 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.510 * [taylor]: Taking taylor expansion of 1/3 in N 3.510 * [backup-simplify]: Simplify 1/3 into 1/3 3.510 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.510 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.510 * [taylor]: Taking taylor expansion of N in N 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.510 * [taylor]: Taking taylor expansion of N in N 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [taylor]: Taking taylor expansion of 1.0 in N 3.510 * [backup-simplify]: Simplify 1.0 into 1.0 3.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.510 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.511 * [backup-simplify]: Simplify (+ 1 0) into 1 3.511 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.512 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.512 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.512 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.513 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.513 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.513 * [taylor]: Taking taylor expansion of 1/3 in N 3.513 * [backup-simplify]: Simplify 1/3 into 1/3 3.513 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.513 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.513 * [taylor]: Taking taylor expansion of N in N 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.513 * [taylor]: Taking taylor expansion of N in N 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of 1.0 in N 3.513 * [backup-simplify]: Simplify 1.0 into 1.0 3.513 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.514 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.514 * [backup-simplify]: Simplify (+ 1 0) into 1 3.515 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.515 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.516 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.516 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.516 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.516 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.521 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.521 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 3.523 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.523 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.530 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.532 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 3.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.543 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.546 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 3.546 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 3.546 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 3.546 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.546 * [taylor]: Taking taylor expansion of 1/3 in N 3.546 * [backup-simplify]: Simplify 1/3 into 1/3 3.546 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.546 * [taylor]: Taking taylor expansion of N in N 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (/ 1 1) into 1 3.546 * [taylor]: Taking taylor expansion of 1.0 in N 3.546 * [backup-simplify]: Simplify 1.0 into 1.0 3.546 * [taylor]: Taking taylor expansion of N in N 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (+ 1 0) into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [backup-simplify]: Simplify (log 1) into 0 3.548 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.548 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.548 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.548 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.548 * [taylor]: Taking taylor expansion of 1/3 in N 3.548 * [backup-simplify]: Simplify 1/3 into 1/3 3.548 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.548 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.548 * [taylor]: Taking taylor expansion of N in N 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (/ 1 1) into 1 3.548 * [taylor]: Taking taylor expansion of 1.0 in N 3.548 * [backup-simplify]: Simplify 1.0 into 1.0 3.548 * [taylor]: Taking taylor expansion of N in N 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (+ 1 0) into 1 3.549 * [backup-simplify]: Simplify (/ 1 1) into 1 3.549 * [backup-simplify]: Simplify (log 1) into 0 3.550 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.550 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.550 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.550 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.553 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.560 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.561 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 3.564 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.565 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ 0 0) into 0 3.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.579 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 3.582 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.583 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.583 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 3.583 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 3.583 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 3.583 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 3.583 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.583 * [taylor]: Taking taylor expansion of -1 in N 3.583 * [backup-simplify]: Simplify -1 into -1 3.584 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.584 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.584 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.584 * [taylor]: Taking taylor expansion of 1/3 in N 3.584 * [backup-simplify]: Simplify 1/3 into 1/3 3.584 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.584 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.584 * [taylor]: Taking taylor expansion of 1.0 in N 3.584 * [backup-simplify]: Simplify 1.0 into 1.0 3.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.584 * [taylor]: Taking taylor expansion of N in N 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (/ 1 1) into 1 3.585 * [taylor]: Taking taylor expansion of N in N 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (- 1) into -1 3.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.586 * [backup-simplify]: Simplify (/ -1 1) into -1 3.586 * [backup-simplify]: Simplify (log -1) into (log -1) 3.586 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.587 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.587 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.587 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 3.587 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.587 * [taylor]: Taking taylor expansion of -1 in N 3.587 * [backup-simplify]: Simplify -1 into -1 3.587 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.588 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.588 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.588 * [taylor]: Taking taylor expansion of 1/3 in N 3.588 * [backup-simplify]: Simplify 1/3 into 1/3 3.588 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.588 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.588 * [taylor]: Taking taylor expansion of 1.0 in N 3.588 * [backup-simplify]: Simplify 1.0 into 1.0 3.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.588 * [taylor]: Taking taylor expansion of N in N 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [taylor]: Taking taylor expansion of N in N 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (- 1) into -1 3.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.589 * [backup-simplify]: Simplify (/ -1 1) into -1 3.589 * [backup-simplify]: Simplify (log -1) into (log -1) 3.590 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.590 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.590 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.591 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.592 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (- 0) into 0 3.593 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.594 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.598 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.599 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 3.601 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.602 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.603 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (- 0) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.615 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.616 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 3.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.625 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.626 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.630 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 3.630 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 3.630 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 3.630 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 3.630 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.630 * [taylor]: Taking taylor expansion of 1/3 in N 3.630 * [backup-simplify]: Simplify 1/3 into 1/3 3.630 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.630 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.630 * [taylor]: Taking taylor expansion of N in N 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.630 * [taylor]: Taking taylor expansion of N in N 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of 1.0 in N 3.631 * [backup-simplify]: Simplify 1.0 into 1.0 3.631 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.632 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.632 * [backup-simplify]: Simplify (+ 1 0) into 1 3.633 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.633 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.634 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.634 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.635 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.635 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.635 * [taylor]: Taking taylor expansion of 1/3 in N 3.635 * [backup-simplify]: Simplify 1/3 into 1/3 3.635 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.635 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.635 * [taylor]: Taking taylor expansion of N in N 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.635 * [taylor]: Taking taylor expansion of N in N 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of 1.0 in N 3.635 * [backup-simplify]: Simplify 1.0 into 1.0 3.635 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.635 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.636 * [backup-simplify]: Simplify (+ 1 0) into 1 3.637 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.637 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.637 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.638 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.638 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.638 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.643 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.643 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 3.645 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.645 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.655 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.656 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.658 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 3.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.671 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.676 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 3.676 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 3.676 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 3.676 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.676 * [taylor]: Taking taylor expansion of 1/3 in N 3.676 * [backup-simplify]: Simplify 1/3 into 1/3 3.676 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.676 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.676 * [taylor]: Taking taylor expansion of N in N 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [taylor]: Taking taylor expansion of 1.0 in N 3.677 * [backup-simplify]: Simplify 1.0 into 1.0 3.677 * [taylor]: Taking taylor expansion of N in N 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (+ 1 0) into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [backup-simplify]: Simplify (log 1) into 0 3.678 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.678 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.679 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.679 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.679 * [taylor]: Taking taylor expansion of 1/3 in N 3.679 * [backup-simplify]: Simplify 1/3 into 1/3 3.679 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.679 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.679 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.679 * [taylor]: Taking taylor expansion of N in N 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [taylor]: Taking taylor expansion of 1.0 in N 3.679 * [backup-simplify]: Simplify 1.0 into 1.0 3.679 * [taylor]: Taking taylor expansion of N in N 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (+ 1 0) into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [backup-simplify]: Simplify (log 1) into 0 3.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.681 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.681 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.681 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.684 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.690 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.691 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 3.694 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.694 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.711 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.712 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 3.717 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.718 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.719 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 3.719 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 3.719 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 3.719 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 3.719 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.719 * [taylor]: Taking taylor expansion of -1 in N 3.719 * [backup-simplify]: Simplify -1 into -1 3.720 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.720 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.720 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.721 * [taylor]: Taking taylor expansion of 1/3 in N 3.721 * [backup-simplify]: Simplify 1/3 into 1/3 3.721 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.721 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.721 * [taylor]: Taking taylor expansion of 1.0 in N 3.721 * [backup-simplify]: Simplify 1.0 into 1.0 3.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.721 * [taylor]: Taking taylor expansion of N in N 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (/ 1 1) into 1 3.721 * [taylor]: Taking taylor expansion of N in N 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (- 1) into -1 3.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.723 * [backup-simplify]: Simplify (/ -1 1) into -1 3.723 * [backup-simplify]: Simplify (log -1) into (log -1) 3.724 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.724 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.725 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.725 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 3.725 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.725 * [taylor]: Taking taylor expansion of -1 in N 3.725 * [backup-simplify]: Simplify -1 into -1 3.725 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.726 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.726 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.726 * [taylor]: Taking taylor expansion of 1/3 in N 3.726 * [backup-simplify]: Simplify 1/3 into 1/3 3.726 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.726 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.726 * [taylor]: Taking taylor expansion of 1.0 in N 3.726 * [backup-simplify]: Simplify 1.0 into 1.0 3.726 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.726 * [taylor]: Taking taylor expansion of N in N 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (/ 1 1) into 1 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (- 1) into -1 3.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.728 * [backup-simplify]: Simplify (/ -1 1) into -1 3.729 * [backup-simplify]: Simplify (log -1) into (log -1) 3.729 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.730 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.730 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.731 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.732 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.734 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.736 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.744 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.745 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 3.748 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.750 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.751 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (- 0) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.767 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.768 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 3.775 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.779 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.780 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 3.784 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 3.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.784 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 3.784 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 3.784 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 3.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 3.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 3.784 * [taylor]: Taking taylor expansion of 1/3 in N 3.784 * [backup-simplify]: Simplify 1/3 into 1/3 3.784 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 3.784 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 3.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 3.785 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.785 * [taylor]: Taking taylor expansion of N in N 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [taylor]: Taking taylor expansion of 1.0 in N 3.785 * [backup-simplify]: Simplify 1.0 into 1.0 3.785 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.785 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.790 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 3.790 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.791 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 3.792 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 3.792 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 3.792 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 3.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 3.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 3.792 * [taylor]: Taking taylor expansion of 1/3 in N 3.792 * [backup-simplify]: Simplify 1/3 into 1/3 3.792 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 3.792 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 3.792 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.792 * [taylor]: Taking taylor expansion of N in N 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 3.792 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.792 * [taylor]: Taking taylor expansion of N in N 3.792 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of 1.0 in N 3.793 * [backup-simplify]: Simplify 1.0 into 1.0 3.793 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.793 * [backup-simplify]: Simplify (* 1 1) into 1 3.794 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.794 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 3.795 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.795 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 3.796 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 3.796 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 3.797 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 3.797 * [backup-simplify]: Simplify (+ 1 0) into 1 3.798 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.799 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 3.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 3.804 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 3.804 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 3.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 3.806 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 3.816 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 3.817 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 3.821 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 3.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 3.835 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 3.839 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 3.840 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 3.840 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 3.840 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 3.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 3.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 3.840 * [taylor]: Taking taylor expansion of 1/3 in N 3.840 * [backup-simplify]: Simplify 1/3 into 1/3 3.840 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 3.840 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 3.840 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 3.840 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.840 * [taylor]: Taking taylor expansion of N in N 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [backup-simplify]: Simplify (/ 1 1) into 1 3.840 * [taylor]: Taking taylor expansion of 1.0 in N 3.841 * [backup-simplify]: Simplify 1.0 into 1.0 3.841 * [backup-simplify]: Simplify (+ 1 0) into 1 3.841 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.841 * [taylor]: Taking taylor expansion of N in N 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [backup-simplify]: Simplify (log 1) into 0 3.843 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.843 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.843 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.843 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 3.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 3.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 3.843 * [taylor]: Taking taylor expansion of 1/3 in N 3.843 * [backup-simplify]: Simplify 1/3 into 1/3 3.843 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 3.843 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 3.843 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 3.843 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.843 * [taylor]: Taking taylor expansion of N in N 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (/ 1 1) into 1 3.844 * [taylor]: Taking taylor expansion of 1.0 in N 3.844 * [backup-simplify]: Simplify 1.0 into 1.0 3.844 * [backup-simplify]: Simplify (+ 1 0) into 1 3.844 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.844 * [taylor]: Taking taylor expansion of N in N 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (* 1 1) into 1 3.845 * [backup-simplify]: Simplify (* 1 1) into 1 3.845 * [backup-simplify]: Simplify (/ 1 1) into 1 3.846 * [backup-simplify]: Simplify (log 1) into 0 3.846 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.846 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.846 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.847 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.849 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.852 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 3.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 3.858 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.859 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 3.861 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 3.861 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.866 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 3.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 3.874 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.875 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 3.878 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 3.878 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 3.878 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 3.879 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) 3.879 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 3.879 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 3.879 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 3.879 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.879 * [taylor]: Taking taylor expansion of -1 in N 3.879 * [backup-simplify]: Simplify -1 into -1 3.879 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.880 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.880 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 3.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 3.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 3.880 * [taylor]: Taking taylor expansion of 1/3 in N 3.880 * [backup-simplify]: Simplify 1/3 into 1/3 3.880 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 3.880 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 3.880 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 3.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.880 * [taylor]: Taking taylor expansion of 1.0 in N 3.880 * [backup-simplify]: Simplify 1.0 into 1.0 3.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.880 * [taylor]: Taking taylor expansion of N in N 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.881 * [backup-simplify]: Simplify (- 1) into -1 3.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.881 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.881 * [taylor]: Taking taylor expansion of N in N 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (* -1 -1) into 1 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [backup-simplify]: Simplify (log 1) into 0 3.882 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.882 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.882 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.882 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 3.882 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 3.882 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.882 * [taylor]: Taking taylor expansion of -1 in N 3.882 * [backup-simplify]: Simplify -1 into -1 3.883 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.883 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.883 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 3.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 3.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 3.883 * [taylor]: Taking taylor expansion of 1/3 in N 3.883 * [backup-simplify]: Simplify 1/3 into 1/3 3.883 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 3.883 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 3.883 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 3.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.883 * [taylor]: Taking taylor expansion of 1.0 in N 3.883 * [backup-simplify]: Simplify 1.0 into 1.0 3.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.883 * [taylor]: Taking taylor expansion of N in N 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify (- 1) into -1 3.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.884 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.884 * [taylor]: Taking taylor expansion of N in N 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (* -1 -1) into 1 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.885 * [backup-simplify]: Simplify (log 1) into 0 3.885 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.885 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.886 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.886 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 3.887 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 3.888 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.890 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.895 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 3.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 3.900 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.900 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 3.902 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 3.903 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 3.904 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 3.905 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.910 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 3.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 3.919 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.920 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 3.925 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 3.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.928 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.930 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 3.931 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 3.934 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 3.935 * * * [progress]: simplifying candidates 3.937 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 3.939 * * [simplify]: Extracting # 0 : cost 0 3.939 * * [simplify]: Extracting # 1 : cost 0 3.939 * * [simplify]: Extracting # 2 : cost 0 3.939 * * [simplify]: Extracting # 3 : cost 0 3.939 * * [simplify]: Extracting # 4 : cost 0 3.940 * * [simplify]: Extracting # 5 : cost 0 3.940 * * [simplify]: Extracting # 6 : cost 0 3.940 * * [simplify]: Extracting # 7 : cost 0 3.940 * * [simplify]: Extracting # 8 : cost 0 3.940 * * [simplify]: Extracting # 9 : cost 0 3.940 * * [simplify]: Extracting # 10 : cost 0 3.941 * * [simplify]: Extracting # 11 : cost 0 3.941 * * [simplify]: Extracting # 12 : cost 0 3.941 * * [simplify]: Extracting # 13 : cost 0 3.941 * * [simplify]: Extracting # 14 : cost 0 3.941 * * [simplify]: Extracting # 15 : cost 0 3.942 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 3.996 * * [simplify]: Extracting # 0 : cost 0 3.997 * * [simplify]: Extracting # 1 : cost 0 3.997 * * [simplify]: Extracting # 2 : cost 0 3.998 * * [simplify]: Extracting # 3 : cost 0 3.998 * * [simplify]: Extracting # 4 : cost 0 3.999 * * [simplify]: iteration 1 : 383 enodes (cost 1427 ) 4.180 * * [simplify]: Extracting # 0 : cost 0 4.181 * * [simplify]: Extracting # 1 : cost 0 4.183 * * [simplify]: Extracting # 2 : cost 0 4.185 * * [simplify]: Extracting # 3 : cost 0 4.186 * * [simplify]: Extracting # 4 : cost 0 4.188 * * [simplify]: iteration 2 : 1580 enodes (cost 1328 ) 4.624 * * [simplify]: Extracting # 0 : cost 0 4.632 * * [simplify]: Extracting # 1 : cost 0 4.650 * * [simplify]: Extracting # 2 : cost 0 4.658 * * [simplify]: Extracting # 3 : cost 0 4.665 * * [simplify]: Extracting # 4 : cost 0 4.672 * * [simplify]: iteration done: 5000 enodes (cost 1215 ) 4.673 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) 2/3 2 (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1)) 2 (* 2 (log (cbrt (* (+ N 1.0) N)))) (* 2 (log (cbrt (* (+ N 1.0) N)))) (exp (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1)))) (cbrt (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (pow (cbrt (cbrt (* N (+ N 1.0)))) (+ 3 1)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1)) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (* N (+ N 1.0)))) (pow (cbrt (cbrt (* N (+ N 1.0)))) (+ 3 1))) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (pow (cbrt (cbrt (* N (+ N 1.0)))) (+ 3 1)) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (pow (sqrt (cbrt (* N (+ N 1.0)))) (+ 3 1)) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (+ (* (cbrt N) (pow 1.0 1/3)) (- (* (* (cbrt N) (pow 1.0 1/3)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* 1/6 (/ (* (* (cbrt N) (pow 1.0 1/3)) (* N N)) (* 1.0 1.0))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (- (/ (* (* 0.3333333333333333 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) N) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) (* N N)) (* (cbrt (exp (- (log -1) (* 2 (log (/ -1 N)))))) (cbrt -1)))) (+ (* (cbrt N) (pow 1.0 1/3)) (- (* (* (cbrt N) (pow 1.0 1/3)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* 1/6 (/ (* (* (cbrt N) (pow 1.0 1/3)) (* N N)) (* 1.0 1.0))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (- (/ (* (* 0.3333333333333333 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) N) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) (* N N)) (* (cbrt (exp (- (log -1) (* 2 (log (/ -1 N)))))) (cbrt -1)))) (+ (* (cbrt N) (pow 1.0 1/3)) (- (* (* (cbrt N) (pow 1.0 1/3)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* 1/6 (/ (* (* (cbrt N) (pow 1.0 1/3)) (* N N)) (* 1.0 1.0))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (- (/ (* (* 0.3333333333333333 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) N) (- (/ (* (* 0.1111111111111111 (cbrt -1)) (cbrt (exp (- (log -1) (* 2 (log (/ -1 N))))))) (* N N)) (* (cbrt (exp (- (log -1) (* 2 (log (/ -1 N)))))) (cbrt -1)))) (- (* (* (pow N 2/3) (pow 1.0 1/3)) (+ (+ (* 0.5555555555555556 (* N N)) 1) (* 0.6666666666666666 N))) (/ (/ (* (* (* 0.6666666666666666 (* N N)) (pow 1.0 1/3)) (pow N 2/3)) 1.0) 1.0)) (- (+ (* 0.6666666666666666 (cbrt N)) (pow (/ 1 N) -4/3)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)) (+ (* (cbrt (pow N 4)) (pow (cbrt -1) 2)) (* (pow (cbrt -1) 2) (- (* 0.6666666666666666 (cbrt N)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)))) 4.674 * * * [progress]: adding candidates to table 5.145 * * [progress]: iteration 4 / 4 5.146 * * * [progress]: picking best candidate 5.155 * * * * [pick]: Picked # 5.156 * * * [progress]: localizing error 5.219 * * * [progress]: generating rewritten candidates 5.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 2 1) 5.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 5.246 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 2 1) 5.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1 1) 5.263 * * * [progress]: generating series expansions 5.263 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 2 1) 5.263 * [backup-simplify]: Simplify (cbrt (* N (+ N 1.0))) into (pow (* N (+ N 1.0)) 1/3) 5.263 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 5.263 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.263 * [taylor]: Taking taylor expansion of 1/3 in N 5.263 * [backup-simplify]: Simplify 1/3 into 1/3 5.263 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.263 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.263 * [taylor]: Taking taylor expansion of N in N 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.264 * [taylor]: Taking taylor expansion of N in N 5.264 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify 1 into 1 5.264 * [taylor]: Taking taylor expansion of 1.0 in N 5.264 * [backup-simplify]: Simplify 1.0 into 1.0 5.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.264 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.265 * [backup-simplify]: Simplify (+ 1 0) into 1 5.266 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.266 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.266 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.267 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.267 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.267 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.267 * [taylor]: Taking taylor expansion of 1/3 in N 5.267 * [backup-simplify]: Simplify 1/3 into 1/3 5.267 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.267 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.267 * [taylor]: Taking taylor expansion of N in N 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.267 * [taylor]: Taking taylor expansion of N in N 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of 1.0 in N 5.267 * [backup-simplify]: Simplify 1.0 into 1.0 5.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.268 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.268 * [backup-simplify]: Simplify (+ 1 0) into 1 5.269 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.269 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.270 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.270 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.270 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.271 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.271 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 5.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.282 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.283 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 5.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.285 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.285 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 5.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.294 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.296 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.304 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.306 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 5.307 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1.0))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 5.307 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 5.307 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.307 * [taylor]: Taking taylor expansion of 1/3 in N 5.307 * [backup-simplify]: Simplify 1/3 into 1/3 5.307 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.307 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.307 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.307 * [taylor]: Taking taylor expansion of N in N 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (/ 1 1) into 1 5.307 * [taylor]: Taking taylor expansion of 1.0 in N 5.307 * [backup-simplify]: Simplify 1.0 into 1.0 5.307 * [taylor]: Taking taylor expansion of N in N 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (+ 1 0) into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [backup-simplify]: Simplify (log 1) into 0 5.308 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.308 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.308 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.308 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) 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) 1.0) N)) in N 5.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.309 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.309 * [taylor]: Taking taylor expansion of N in N 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of 1.0 in N 5.309 * [backup-simplify]: Simplify 1.0 into 1.0 5.309 * [taylor]: Taking taylor expansion of N in N 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [backup-simplify]: Simplify (log 1) into 0 5.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.310 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.310 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.310 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.312 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.316 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.316 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 5.318 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.318 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ 0 0) into 0 5.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.330 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.331 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 5.336 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.337 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.338 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 5.339 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 5.339 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 5.339 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.339 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.339 * [taylor]: Taking taylor expansion of -1 in N 5.339 * [backup-simplify]: Simplify -1 into -1 5.339 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.340 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.340 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.340 * [taylor]: Taking taylor expansion of 1/3 in N 5.340 * [backup-simplify]: Simplify 1/3 into 1/3 5.341 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.341 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.341 * [taylor]: Taking taylor expansion of 1.0 in N 5.341 * [backup-simplify]: Simplify 1.0 into 1.0 5.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.341 * [taylor]: Taking taylor expansion of N in N 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [taylor]: Taking taylor expansion of N in N 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (- 1) into -1 5.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.342 * [backup-simplify]: Simplify (/ -1 1) into -1 5.342 * [backup-simplify]: Simplify (log -1) into (log -1) 5.343 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.343 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.343 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.343 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.343 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.343 * [taylor]: Taking taylor expansion of -1 in N 5.343 * [backup-simplify]: Simplify -1 into -1 5.344 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.344 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.344 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.344 * [taylor]: Taking taylor expansion of 1/3 in N 5.344 * [backup-simplify]: Simplify 1/3 into 1/3 5.344 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.344 * [taylor]: Taking taylor expansion of 1.0 in N 5.344 * [backup-simplify]: Simplify 1.0 into 1.0 5.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.344 * [taylor]: Taking taylor expansion of N in N 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (/ 1 1) into 1 5.345 * [taylor]: Taking taylor expansion of N in N 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (- 1) into -1 5.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.345 * [backup-simplify]: Simplify (/ -1 1) into -1 5.346 * [backup-simplify]: Simplify (log -1) into (log -1) 5.346 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.346 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.347 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.348 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.348 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (- 0) into 0 5.349 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.350 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 5.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.355 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.356 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 5.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.359 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.360 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (- 0) into 0 5.361 * [backup-simplify]: Simplify (+ 0 0) into 0 5.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.368 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.369 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 5.373 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.381 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.382 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.387 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 5.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 5.387 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 5.387 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 5.387 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.387 * [taylor]: Taking taylor expansion of 1/3 in N 5.387 * [backup-simplify]: Simplify 1/3 into 1/3 5.387 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.388 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.388 * [taylor]: Taking taylor expansion of N in N 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.388 * [taylor]: Taking taylor expansion of N in N 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of 1.0 in N 5.388 * [backup-simplify]: Simplify 1.0 into 1.0 5.388 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.389 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.389 * [backup-simplify]: Simplify (+ 1 0) into 1 5.391 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.391 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.392 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.392 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.393 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.393 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.393 * [taylor]: Taking taylor expansion of 1/3 in N 5.393 * [backup-simplify]: Simplify 1/3 into 1/3 5.393 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.393 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.393 * [taylor]: Taking taylor expansion of N in N 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.393 * [taylor]: Taking taylor expansion of N in N 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of 1.0 in N 5.393 * [backup-simplify]: Simplify 1.0 into 1.0 5.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.394 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.394 * [backup-simplify]: Simplify (+ 1 0) into 1 5.395 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.395 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.396 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.396 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.396 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.397 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.397 * [backup-simplify]: Simplify (+ 0 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 5.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.401 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.402 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 5.404 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.404 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.404 * [backup-simplify]: Simplify (+ 0 0) into 0 5.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 5.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.411 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.413 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.419 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.424 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 5.424 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 5.424 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 5.424 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.424 * [taylor]: Taking taylor expansion of 1/3 in N 5.424 * [backup-simplify]: Simplify 1/3 into 1/3 5.424 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.424 * [taylor]: Taking taylor expansion of N in N 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.425 * [backup-simplify]: Simplify (/ 1 1) into 1 5.425 * [taylor]: Taking taylor expansion of 1.0 in N 5.425 * [backup-simplify]: Simplify 1.0 into 1.0 5.425 * [taylor]: Taking taylor expansion of N in N 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [backup-simplify]: Simplify (+ 1 0) into 1 5.425 * [backup-simplify]: Simplify (/ 1 1) into 1 5.425 * [backup-simplify]: Simplify (log 1) into 0 5.426 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.426 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.426 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.426 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.426 * [taylor]: Taking taylor expansion of 1/3 in N 5.426 * [backup-simplify]: Simplify 1/3 into 1/3 5.426 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.426 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.426 * [taylor]: Taking taylor expansion of N in N 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [taylor]: Taking taylor expansion of 1.0 in N 5.426 * [backup-simplify]: Simplify 1.0 into 1.0 5.426 * [taylor]: Taking taylor expansion of N in N 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify (+ 1 0) into 1 5.427 * [backup-simplify]: Simplify (/ 1 1) into 1 5.427 * [backup-simplify]: Simplify (log 1) into 0 5.427 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.427 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.428 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.428 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.430 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.433 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.434 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 5.435 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.435 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (+ 0 0) into 0 5.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.447 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.448 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 5.452 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.452 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.452 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 5.453 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 5.453 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 5.453 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.453 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.453 * [taylor]: Taking taylor expansion of -1 in N 5.453 * [backup-simplify]: Simplify -1 into -1 5.453 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.454 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.454 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.454 * [taylor]: Taking taylor expansion of 1/3 in N 5.454 * [backup-simplify]: Simplify 1/3 into 1/3 5.454 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.454 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.454 * [taylor]: Taking taylor expansion of 1.0 in N 5.454 * [backup-simplify]: Simplify 1.0 into 1.0 5.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.454 * [taylor]: Taking taylor expansion of N in N 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (/ 1 1) into 1 5.454 * [taylor]: Taking taylor expansion of N in N 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (- 1) into -1 5.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.455 * [backup-simplify]: Simplify (/ -1 1) into -1 5.455 * [backup-simplify]: Simplify (log -1) into (log -1) 5.456 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.456 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.456 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.456 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.456 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.456 * [taylor]: Taking taylor expansion of -1 in N 5.456 * [backup-simplify]: Simplify -1 into -1 5.457 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.457 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.457 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.457 * [taylor]: Taking taylor expansion of 1/3 in N 5.457 * [backup-simplify]: Simplify 1/3 into 1/3 5.457 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.457 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.457 * [taylor]: Taking taylor expansion of 1.0 in N 5.457 * [backup-simplify]: Simplify 1.0 into 1.0 5.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.457 * [taylor]: Taking taylor expansion of N in N 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (/ 1 1) into 1 5.458 * [taylor]: Taking taylor expansion of N in N 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (- 1) into -1 5.459 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.459 * [backup-simplify]: Simplify (/ -1 1) into -1 5.459 * [backup-simplify]: Simplify (log -1) into (log -1) 5.460 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.460 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.460 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.461 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.462 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (- 0) into 0 5.463 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.464 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 5.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.468 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.469 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 5.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.472 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.473 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (- 0) into 0 5.474 * [backup-simplify]: Simplify (+ 0 0) into 0 5.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.488 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.490 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 5.497 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.502 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.504 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.509 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 5.509 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1 2 1) 5.509 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 5.509 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 5.510 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.510 * [taylor]: Taking taylor expansion of 1/3 in N 5.510 * [backup-simplify]: Simplify 1/3 into 1/3 5.510 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.510 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.510 * [taylor]: Taking taylor expansion of N in N 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.510 * [taylor]: Taking taylor expansion of N in N 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [taylor]: Taking taylor expansion of 1.0 in N 5.510 * [backup-simplify]: Simplify 1.0 into 1.0 5.511 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.511 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.511 * [backup-simplify]: Simplify (+ 1 0) into 1 5.513 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.513 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.514 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.515 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.515 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.515 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.515 * [taylor]: Taking taylor expansion of 1/3 in N 5.515 * [backup-simplify]: Simplify 1/3 into 1/3 5.515 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.515 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.515 * [taylor]: Taking taylor expansion of N in N 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.516 * [taylor]: Taking taylor expansion of N in N 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of 1.0 in N 5.516 * [backup-simplify]: Simplify 1.0 into 1.0 5.516 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.517 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.517 * [backup-simplify]: Simplify (+ 1 0) into 1 5.519 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.519 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.520 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.520 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.521 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.521 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.521 * [backup-simplify]: Simplify (+ 0 0) into 0 5.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 5.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.525 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.526 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 5.528 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.528 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 5.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.535 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.537 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.543 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.545 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.548 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 5.548 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 5.548 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 5.548 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.548 * [taylor]: Taking taylor expansion of 1/3 in N 5.548 * [backup-simplify]: Simplify 1/3 into 1/3 5.548 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.548 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.548 * [taylor]: Taking taylor expansion of N in N 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of 1.0 in N 5.548 * [backup-simplify]: Simplify 1.0 into 1.0 5.548 * [taylor]: Taking taylor expansion of N in N 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.549 * [backup-simplify]: Simplify (+ 1 0) into 1 5.549 * [backup-simplify]: Simplify (/ 1 1) into 1 5.549 * [backup-simplify]: Simplify (log 1) into 0 5.549 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.550 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.550 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.550 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.550 * [taylor]: Taking taylor expansion of 1/3 in N 5.550 * [backup-simplify]: Simplify 1/3 into 1/3 5.550 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.550 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.550 * [taylor]: Taking taylor expansion of N in N 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [backup-simplify]: Simplify (/ 1 1) into 1 5.550 * [taylor]: Taking taylor expansion of 1.0 in N 5.550 * [backup-simplify]: Simplify 1.0 into 1.0 5.550 * [taylor]: Taking taylor expansion of N in N 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [backup-simplify]: Simplify (+ 1 0) into 1 5.551 * [backup-simplify]: Simplify (/ 1 1) into 1 5.551 * [backup-simplify]: Simplify (log 1) into 0 5.551 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.551 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.551 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.551 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.553 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.557 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.557 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 5.559 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.559 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ 0 0) into 0 5.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.569 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.570 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 5.575 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.576 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.577 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 5.577 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 5.577 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 5.577 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.577 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.577 * [taylor]: Taking taylor expansion of -1 in N 5.577 * [backup-simplify]: Simplify -1 into -1 5.578 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.578 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.578 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.579 * [taylor]: Taking taylor expansion of 1/3 in N 5.579 * [backup-simplify]: Simplify 1/3 into 1/3 5.579 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.579 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.579 * [taylor]: Taking taylor expansion of 1.0 in N 5.579 * [backup-simplify]: Simplify 1.0 into 1.0 5.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.579 * [taylor]: Taking taylor expansion of N in N 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.579 * [backup-simplify]: Simplify (/ 1 1) into 1 5.579 * [taylor]: Taking taylor expansion of N in N 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (- 1) into -1 5.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.581 * [backup-simplify]: Simplify (/ -1 1) into -1 5.581 * [backup-simplify]: Simplify (log -1) into (log -1) 5.582 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.582 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.583 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.583 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.583 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.583 * [taylor]: Taking taylor expansion of -1 in N 5.583 * [backup-simplify]: Simplify -1 into -1 5.583 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.584 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.584 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.584 * [taylor]: Taking taylor expansion of 1/3 in N 5.584 * [backup-simplify]: Simplify 1/3 into 1/3 5.584 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.584 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.584 * [taylor]: Taking taylor expansion of 1.0 in N 5.584 * [backup-simplify]: Simplify 1.0 into 1.0 5.585 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.585 * [taylor]: Taking taylor expansion of N in N 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of N in N 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (- 1) into -1 5.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.586 * [backup-simplify]: Simplify (/ -1 1) into -1 5.587 * [backup-simplify]: Simplify (log -1) into (log -1) 5.588 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.588 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.589 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.590 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.591 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (- 0) into 0 5.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.597 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 5.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.601 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.602 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 5.604 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.605 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.605 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (- 0) into 0 5.607 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.614 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.615 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 5.618 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.621 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.622 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.626 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 5.627 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 1 1) 5.627 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 5.627 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 5.627 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.627 * [taylor]: Taking taylor expansion of 1/3 in N 5.627 * [backup-simplify]: Simplify 1/3 into 1/3 5.627 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.627 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.627 * [taylor]: Taking taylor expansion of N in N 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 1 into 1 5.627 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.627 * [taylor]: Taking taylor expansion of N in N 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 1 into 1 5.627 * [taylor]: Taking taylor expansion of 1.0 in N 5.627 * [backup-simplify]: Simplify 1.0 into 1.0 5.628 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.628 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.629 * [backup-simplify]: Simplify (+ 1 0) into 1 5.630 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.631 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.631 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.632 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.632 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.632 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 5.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 5.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 5.633 * [taylor]: Taking taylor expansion of 1/3 in N 5.633 * [backup-simplify]: Simplify 1/3 into 1/3 5.633 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 5.633 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 5.633 * [taylor]: Taking taylor expansion of N in N 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.633 * [taylor]: Taking taylor expansion of N in N 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [taylor]: Taking taylor expansion of 1.0 in N 5.633 * [backup-simplify]: Simplify 1.0 into 1.0 5.633 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.633 * [backup-simplify]: Simplify (* 0 1.0) into 0 5.634 * [backup-simplify]: Simplify (+ 1 0) into 1 5.634 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 5.635 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.635 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.635 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 5.636 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.636 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 5.636 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 5.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.640 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.641 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 5.643 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.643 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 5.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.650 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 5.651 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.658 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.659 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.662 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 5.662 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 5.662 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 5.662 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.663 * [taylor]: Taking taylor expansion of 1/3 in N 5.663 * [backup-simplify]: Simplify 1/3 into 1/3 5.663 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.663 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.663 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.663 * [taylor]: Taking taylor expansion of N in N 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (/ 1 1) into 1 5.663 * [taylor]: Taking taylor expansion of 1.0 in N 5.663 * [backup-simplify]: Simplify 1.0 into 1.0 5.663 * [taylor]: Taking taylor expansion of N in N 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (+ 1 0) into 1 5.663 * [backup-simplify]: Simplify (/ 1 1) into 1 5.664 * [backup-simplify]: Simplify (log 1) into 0 5.664 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.664 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.664 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.664 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.664 * [taylor]: Taking taylor expansion of 1/3 in N 5.664 * [backup-simplify]: Simplify 1/3 into 1/3 5.664 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.664 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.664 * [taylor]: Taking taylor expansion of N in N 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify (/ 1 1) into 1 5.665 * [taylor]: Taking taylor expansion of 1.0 in N 5.665 * [backup-simplify]: Simplify 1.0 into 1.0 5.665 * [taylor]: Taking taylor expansion of N in N 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify (+ 1 0) into 1 5.665 * [backup-simplify]: Simplify (/ 1 1) into 1 5.665 * [backup-simplify]: Simplify (log 1) into 0 5.666 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.666 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.666 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.666 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.668 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.672 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.672 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 5.674 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.674 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.684 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.685 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 5.688 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.688 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.689 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 5.689 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 5.689 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 5.689 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.689 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.689 * [taylor]: Taking taylor expansion of -1 in N 5.689 * [backup-simplify]: Simplify -1 into -1 5.689 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.690 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.690 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.690 * [taylor]: Taking taylor expansion of 1/3 in N 5.690 * [backup-simplify]: Simplify 1/3 into 1/3 5.690 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.690 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.690 * [taylor]: Taking taylor expansion of 1.0 in N 5.690 * [backup-simplify]: Simplify 1.0 into 1.0 5.690 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.690 * [taylor]: Taking taylor expansion of N in N 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [taylor]: Taking taylor expansion of N in N 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (- 1) into -1 5.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.691 * [backup-simplify]: Simplify (/ -1 1) into -1 5.691 * [backup-simplify]: Simplify (log -1) into (log -1) 5.692 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.692 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.693 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.693 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.693 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.693 * [taylor]: Taking taylor expansion of -1 in N 5.693 * [backup-simplify]: Simplify -1 into -1 5.693 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.693 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.693 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.693 * [taylor]: Taking taylor expansion of 1/3 in N 5.693 * [backup-simplify]: Simplify 1/3 into 1/3 5.693 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.693 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.694 * [taylor]: Taking taylor expansion of 1.0 in N 5.694 * [backup-simplify]: Simplify 1.0 into 1.0 5.694 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.694 * [taylor]: Taking taylor expansion of N in N 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (/ 1 1) into 1 5.694 * [taylor]: Taking taylor expansion of N in N 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (- 1) into -1 5.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.695 * [backup-simplify]: Simplify (/ -1 1) into -1 5.695 * [backup-simplify]: Simplify (log -1) into (log -1) 5.695 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.696 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.696 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.697 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.698 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (- 0) into 0 5.699 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.702 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 5.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.710 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.711 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 5.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.716 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.717 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (- 0) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.734 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.735 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 5.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.741 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.742 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.744 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 5.745 * * * [progress]: simplifying candidates 5.746 * [simplify]: Simplifying: (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* N (+ (pow N 3) (pow 1.0 3)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 5.747 * * [simplify]: Extracting # 0 : cost 0 5.747 * * [simplify]: Extracting # 1 : cost 0 5.747 * * [simplify]: Extracting # 2 : cost 0 5.747 * * [simplify]: Extracting # 3 : cost 0 5.747 * * [simplify]: Extracting # 4 : cost 0 5.747 * * [simplify]: Extracting # 5 : cost 0 5.748 * * [simplify]: Extracting # 6 : cost 0 5.748 * * [simplify]: Extracting # 7 : cost 0 5.748 * * [simplify]: Extracting # 8 : cost 0 5.748 * * [simplify]: Extracting # 9 : cost 0 5.748 * * [simplify]: Extracting # 10 : cost 0 5.748 * * [simplify]: Extracting # 11 : cost 0 5.748 * * [simplify]: Extracting # 12 : cost 0 5.748 * * [simplify]: Extracting # 13 : cost 0 5.748 * * [simplify]: Extracting # 14 : cost 0 5.749 * * [simplify]: Extracting # 15 : cost 0 5.749 * * [simplify]: Extracting # 16 : cost 0 5.749 * * [simplify]: Extracting # 17 : cost 0 5.749 * * [simplify]: iteration 0 : 95 enodes (cost 988 ) 5.769 * * [simplify]: Extracting # 0 : cost 0 5.770 * * [simplify]: Extracting # 1 : cost 0 5.770 * * [simplify]: Extracting # 2 : cost 0 5.770 * * [simplify]: Extracting # 3 : cost 0 5.770 * * [simplify]: Extracting # 4 : cost 0 5.771 * * [simplify]: iteration 1 : 212 enodes (cost 972 ) 5.849 * * [simplify]: Extracting # 0 : cost 0 5.850 * * [simplify]: Extracting # 1 : cost 0 5.851 * * [simplify]: Extracting # 2 : cost 0 5.851 * * [simplify]: Extracting # 3 : cost 0 5.852 * * [simplify]: Extracting # 4 : cost 0 5.853 * * [simplify]: iteration 2 : 735 enodes (cost 924 ) 6.594 * * [simplify]: Extracting # 0 : cost 0 6.600 * * [simplify]: Extracting # 1 : cost 0 6.605 * * [simplify]: Extracting # 2 : cost 0 6.611 * * [simplify]: Extracting # 3 : cost 0 6.616 * * [simplify]: Extracting # 4 : cost 0 6.621 * * [simplify]: iteration 3 : 3697 enodes (cost 784 ) 7.961 * * [simplify]: Extracting # 0 : cost 0 7.966 * * [simplify]: Extracting # 1 : cost 0 7.973 * * [simplify]: Extracting # 2 : cost 0 7.985 * * [simplify]: Extracting # 3 : cost 0 7.993 * * [simplify]: Extracting # 4 : cost 0 8.000 * * [simplify]: iteration done: 5002 enodes (cost 724 ) 8.000 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* N (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ (- (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* (* (/ N 1.0) (/ (* N (cbrt (* N 1.0))) 1.0)) 1/6)) (cbrt (* N 1.0))) (- (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 0.3333333333333333)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1)) (* (/ (cbrt -1) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (- (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* (* (/ N 1.0) (/ (* N (cbrt (* N 1.0))) 1.0)) 1/6)) (cbrt (* N 1.0))) (- (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 0.3333333333333333)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1)) (* (/ (cbrt -1) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (- (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* (* (/ N 1.0) (/ (* N (cbrt (* N 1.0))) 1.0)) 1/6)) (cbrt (* N 1.0))) (- (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 0.3333333333333333)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1)) (* (/ (cbrt -1) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (- (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (* (* (/ N 1.0) (/ (* N (cbrt (* N 1.0))) 1.0)) 1/6)) (cbrt (* N 1.0))) (- (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 0.3333333333333333)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1)) (* (/ (cbrt -1) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) 8.001 * * * [progress]: adding candidates to table 8.455 * [progress]: [Phase 3 of 3] Extracting. 8.455 * * [regime]: Finding splitpoints for: (# # # # #) 8.456 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.456 * * * * [regimes]: Trying to branch on N from (# # # # #) 8.515 * * * [regime]: Found split indices: #