41.824 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.040 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.040 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.040 * * [simplify]: Extracting # 2 : cost 5 inf + 0 0.040 * * [simplify]: Extracting # 3 : cost 5 inf + 1 0.040 * * [simplify]: Extracting # 4 : cost 0 inf + 589 0.040 * * [simplify]: iteration 0 : 6 enodes (cost 292 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 inf + 589 0.042 * * [simplify]: Extracting # 1 : cost 1 inf + 589 0.042 * * [simplify]: Extracting # 2 : cost 0 inf + 735 0.042 * * [simplify]: iteration 1 : 9 enodes (cost 292 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 inf + 735 0.044 * * [simplify]: iteration 2 : 10 enodes (cost 292 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 inf + 735 0.046 * * [simplify]: iteration done: 10 enodes (cost 292 ) 0.046 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.047 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.069 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.069 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.069 * [taylor]: Taking taylor expansion of (atan N) in N 0.069 * [backup-simplify]: Simplify (atan N) into (atan N) 0.069 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.069 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.070 * [taylor]: Taking taylor expansion of (atan N) in N 0.070 * [backup-simplify]: Simplify (atan N) into (atan N) 0.070 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.070 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.070 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.084 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.084 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.084 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.084 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.085 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.085 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.085 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.085 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.085 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.085 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.085 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.085 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.085 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.089 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.089 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.089 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.089 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.089 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.089 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.089 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.089 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.090 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.093 * * * [progress]: simplifying candidates 0.093 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.093 * * [simplify]: Extracting # 0 : cost 17 inf + 0 0.093 * * [simplify]: Extracting # 1 : cost 33 inf + 0 0.094 * * [simplify]: Extracting # 2 : cost 33 inf + 108 0.094 * * [simplify]: Extracting # 3 : cost 27 inf + 724 0.094 * * [simplify]: Extracting # 4 : cost 15 inf + 3289 0.094 * * [simplify]: Extracting # 5 : cost 1 inf + 8599 0.095 * * [simplify]: Extracting # 6 : cost 0 inf + 8971 0.095 * * [simplify]: iteration 0 : 36 enodes (cost 7214 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 inf + 8971 0.102 * * [simplify]: Extracting # 1 : cost 8 inf + 8197 0.104 * * [simplify]: Extracting # 2 : cost 3 inf + 8989 0.106 * * [simplify]: Extracting # 3 : cost 1 inf + 9348 0.107 * * [simplify]: Extracting # 4 : cost 0 inf + 9665 0.109 * * [simplify]: iteration 1 : 73 enodes (cost 6843 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 inf + 9665 0.125 * * [simplify]: Extracting # 1 : cost 25 inf + 9665 0.127 * * [simplify]: Extracting # 2 : cost 3 inf + 17039 0.128 * * [simplify]: Extracting # 3 : cost 1 inf + 17357 0.130 * * [simplify]: Extracting # 4 : cost 0 inf + 17715 0.132 * * [simplify]: iteration 2 : 149 enodes (cost 6843 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 inf + 17715 0.165 * * [simplify]: Extracting # 1 : cost 32 inf + 14616 0.168 * * [simplify]: Extracting # 2 : cost 3 inf + 25922 0.171 * * [simplify]: Extracting # 3 : cost 2 inf + 25923 0.179 * * [simplify]: Extracting # 4 : cost 0 inf + 26598 0.184 * * [simplify]: iteration 3 : 326 enodes (cost 6803 ) 0.292 * * [simplify]: Extracting # 0 : cost 0 inf + 26598 0.296 * * [simplify]: Extracting # 1 : cost 157 inf + 20132 0.307 * * [simplify]: Extracting # 2 : cost 3 inf + 86915 0.325 * * [simplify]: Extracting # 3 : cost 2 inf + 86654 0.340 * * [simplify]: Extracting # 4 : cost 0 inf + 87198 0.350 * * [simplify]: iteration 4 : 966 enodes (cost 6762 ) 0.881 * * [simplify]: Extracting # 0 : cost 0 inf + 87198 0.901 * * [simplify]: Extracting # 1 : cost 646 inf + 39021 0.965 * * [simplify]: Extracting # 2 : cost 3 inf + 389081 1.031 * * [simplify]: Extracting # 3 : cost 1 inf + 388778 1.086 * * [simplify]: Extracting # 4 : cost 0 inf + 389095 1.165 * * [simplify]: iteration 5 : 3570 enodes (cost 6762 ) 2.314 * * [simplify]: Extracting # 0 : cost 0 inf + 389095 2.392 * * [simplify]: Extracting # 1 : cost 587 inf + 369421 2.494 * * [simplify]: Extracting # 2 : cost 240 inf + 608943 2.603 * * [simplify]: Extracting # 3 : cost 230 inf + 608710 2.736 * * [simplify]: Extracting # 4 : cost 41 inf + 638435 2.872 * * [simplify]: Extracting # 5 : cost 0 inf + 655426 2.994 * * [simplify]: iteration done: 5001 enodes (cost 6762 ) 2.994 * [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))) (* (* (- (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))) (- (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan N) (+ (atan (+ N 1.0)) (atan N))) (* (atan (+ N 1.0)) (atan (+ N 1.0)))) (- (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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 2.996 * * * [progress]: adding candidates to table 3.064 * * [progress]: iteration 2 / 4 3.064 * * * [progress]: picking best candidate 3.067 * * * * [pick]: Picked # 3.067 * * * [progress]: localizing error 3.086 * * * [progress]: generating rewritten candidates 3.086 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.087 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 3.122 * * * [progress]: generating series expansions 3.122 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.122 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.122 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 3.122 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 3.122 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.122 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 3.123 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.123 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.124 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3.124 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 3.124 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 3.124 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3.124 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 3.124 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3.125 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.126 * [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)))) 3.126 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 3.126 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 3.126 * [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)))) 3.126 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 3.126 * [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)))) 3.127 * [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)))) 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 3.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 3.128 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 3.128 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 3.128 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of 1.0 in N 3.128 * [backup-simplify]: Simplify 1.0 into 1.0 3.128 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of 1.0 in N 3.128 * [backup-simplify]: Simplify 1.0 into 1.0 3.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.129 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.131 * [backup-simplify]: Simplify 1.0 into 1.0 3.132 * [backup-simplify]: Simplify (+ 0 0) into 0 3.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.133 * [backup-simplify]: Simplify 1 into 1 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 3.145 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 3.145 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 3.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.145 * [taylor]: Taking taylor expansion of N in N 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [backup-simplify]: Simplify (/ 1 1) into 1 3.145 * [taylor]: Taking taylor expansion of 1.0 in N 3.145 * [backup-simplify]: Simplify 1.0 into 1.0 3.145 * [taylor]: Taking taylor expansion of N in N 3.145 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (+ 1 0) into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.146 * [taylor]: Taking taylor expansion of N in N 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of 1.0 in N 3.146 * [backup-simplify]: Simplify 1.0 into 1.0 3.146 * [taylor]: Taking taylor expansion of N in N 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (+ 1 0) into 1 3.147 * [backup-simplify]: Simplify (/ 1 1) into 1 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.149 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.149 * [backup-simplify]: Simplify 1.0 into 1.0 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ 0 0) into 0 3.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (+ 0 0) into 0 3.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ 0 0) into 0 3.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [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 3.156 * [backup-simplify]: Simplify 0 into 0 3.157 * [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 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [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 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 3.158 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 3.158 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 3.158 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 3.158 * [taylor]: Taking taylor expansion of -1 in N 3.158 * [backup-simplify]: Simplify -1 into -1 3.158 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.158 * [taylor]: Taking taylor expansion of 1.0 in N 3.158 * [backup-simplify]: Simplify 1.0 into 1.0 3.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.158 * [taylor]: Taking taylor expansion of N in N 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (/ 1 1) into 1 3.159 * [taylor]: Taking taylor expansion of N in N 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (- 1) into -1 3.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.159 * [backup-simplify]: Simplify (/ -1 1) into -1 3.160 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 3.160 * [taylor]: Taking taylor expansion of -1 in N 3.160 * [backup-simplify]: Simplify -1 into -1 3.160 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.160 * [taylor]: Taking taylor expansion of 1.0 in N 3.160 * [backup-simplify]: Simplify 1.0 into 1.0 3.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.160 * [taylor]: Taking taylor expansion of N in N 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (/ 1 1) into 1 3.160 * [taylor]: Taking taylor expansion of N in N 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (- 1) into -1 3.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.161 * [backup-simplify]: Simplify (/ -1 1) into -1 3.161 * [backup-simplify]: Simplify (* -1 -1) into 1 3.161 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.163 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.164 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 3.164 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (- 0) into 0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (- 0) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (- 0) into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.179 * [backup-simplify]: Simplify (- 0) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.180 * [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 3.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.182 * [backup-simplify]: Simplify 0 into 0 3.183 * [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 3.183 * [backup-simplify]: Simplify (- 0) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [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 3.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 3.187 * * * [progress]: simplifying candidates 3.188 * [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 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 3.189 * * [simplify]: Extracting # 0 : cost 25 inf + 0 3.189 * * [simplify]: Extracting # 1 : cost 45 inf + 0 3.189 * * [simplify]: Extracting # 2 : cost 49 inf + 115 3.189 * * [simplify]: Extracting # 3 : cost 25 inf + 3596 3.190 * * [simplify]: Extracting # 4 : cost 4 inf + 8053 3.192 * * [simplify]: Extracting # 5 : cost 1 inf + 9052 3.192 * * [simplify]: Extracting # 6 : cost 0 inf + 9526 3.193 * * [simplify]: iteration 0 : 55 enodes (cost 8106 ) 3.212 * * [simplify]: Extracting # 0 : cost 0 inf + 9526 3.214 * * [simplify]: Extracting # 1 : cost 22 inf + 7892 3.216 * * [simplify]: Extracting # 2 : cost 3 inf + 9819 3.218 * * [simplify]: Extracting # 3 : cost 2 inf + 9820 3.220 * * [simplify]: Extracting # 4 : cost 0 inf + 10244 3.223 * * [simplify]: iteration 1 : 127 enodes (cost 6708 ) 3.294 * * [simplify]: Extracting # 0 : cost 0 inf + 10244 3.298 * * [simplify]: Extracting # 1 : cost 243 inf + 9950 3.308 * * [simplify]: Extracting # 2 : cost 7 inf + 35785 3.320 * * [simplify]: Extracting # 3 : cost 2 inf + 36214 3.331 * * [simplify]: Extracting # 4 : cost 0 inf + 36940 3.337 * * [simplify]: iteration 2 : 695 enodes (cost 6468 ) 3.600 * * [simplify]: Extracting # 0 : cost 0 inf + 36940 3.639 * * [simplify]: Extracting # 1 : cost 2668 inf + 28613 3.730 * * [simplify]: Extracting # 2 : cost 58 inf + 333903 3.799 * * [simplify]: Extracting # 3 : cost 11 inf + 340842 3.877 * * [simplify]: Extracting # 4 : cost 0 inf + 344034 3.985 * * [simplify]: iteration done: 5002 enodes (cost 6388 ) 3.985 * [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)))) (* (* (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)))) (* (+ 1.0 N) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) 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)) (* (* (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) (* N (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N))) (* (- (* N N) (* 1.0 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)))) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 3.988 * * * [progress]: adding candidates to table 4.107 * * [progress]: iteration 3 / 4 4.107 * * * [progress]: picking best candidate 4.134 * * * * [pick]: Picked # 4.134 * * * [progress]: localizing error 4.156 * * * [progress]: generating rewritten candidates 4.156 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 4.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 4.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 4.182 * * * [progress]: generating series expansions 4.182 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.182 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.182 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.182 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.182 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.182 * [taylor]: Taking taylor expansion of 1/3 in N 4.183 * [backup-simplify]: Simplify 1/3 into 1/3 4.183 * [taylor]: Taking taylor expansion of (log N) in N 4.183 * [taylor]: Taking taylor expansion of N in N 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (log 1) into 0 4.184 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.184 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.184 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.184 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.184 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.184 * [taylor]: Taking taylor expansion of 1/3 in N 4.184 * [backup-simplify]: Simplify 1/3 into 1/3 4.184 * [taylor]: Taking taylor expansion of (log N) in N 4.184 * [taylor]: Taking taylor expansion of N in N 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (log 1) into 0 4.185 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.185 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.185 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.185 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.187 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.192 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.199 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.201 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.210 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.213 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.223 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.226 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.244 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.246 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.249 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.249 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.249 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.249 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.249 * [taylor]: Taking taylor expansion of 1/3 in N 4.249 * [backup-simplify]: Simplify 1/3 into 1/3 4.249 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.249 * [taylor]: Taking taylor expansion of N in N 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [backup-simplify]: Simplify (log 1) into 0 4.250 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.250 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.250 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.250 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.250 * [taylor]: Taking taylor expansion of 1/3 in N 4.250 * [backup-simplify]: Simplify 1/3 into 1/3 4.250 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.250 * [taylor]: Taking taylor expansion of N in N 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [backup-simplify]: Simplify (log 1) into 0 4.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.251 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.251 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.251 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.253 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.254 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.257 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.261 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.262 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.265 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.265 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.272 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.273 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.274 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.287 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.291 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.314 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.314 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.314 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.314 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.314 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.314 * [taylor]: Taking taylor expansion of 1/3 in N 4.314 * [backup-simplify]: Simplify 1/3 into 1/3 4.314 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.314 * [taylor]: Taking taylor expansion of N in N 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [backup-simplify]: Simplify (log 1) into 0 4.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.315 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.315 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.315 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.315 * [taylor]: Taking taylor expansion of -1 in N 4.315 * [backup-simplify]: Simplify -1 into -1 4.316 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.316 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.316 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.316 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.316 * [taylor]: Taking taylor expansion of 1/3 in N 4.316 * [backup-simplify]: Simplify 1/3 into 1/3 4.317 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.317 * [taylor]: Taking taylor expansion of N in N 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [backup-simplify]: Simplify (log 1) into 0 4.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.318 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.318 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.318 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.318 * [taylor]: Taking taylor expansion of -1 in N 4.318 * [backup-simplify]: Simplify -1 into -1 4.319 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.319 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.320 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.321 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.325 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.325 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.332 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.334 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.335 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.346 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.348 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.362 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.366 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.384 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.385 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.406 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.407 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.412 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.413 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.413 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.414 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 4.414 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.414 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.414 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.414 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.414 * [taylor]: Taking taylor expansion of 1/3 in N 4.414 * [backup-simplify]: Simplify 1/3 into 1/3 4.414 * [taylor]: Taking taylor expansion of (log N) in N 4.414 * [taylor]: Taking taylor expansion of N in N 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (log 1) into 0 4.414 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.414 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.414 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.414 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.415 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.415 * [taylor]: Taking taylor expansion of 1/3 in N 4.415 * [backup-simplify]: Simplify 1/3 into 1/3 4.415 * [taylor]: Taking taylor expansion of (log N) in N 4.415 * [taylor]: Taking taylor expansion of N in N 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (log 1) into 0 4.415 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.415 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.415 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.415 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.416 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.417 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.419 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.423 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.425 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.431 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.432 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.433 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.446 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.486 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.494 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.494 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.495 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.495 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.495 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.495 * [taylor]: Taking taylor expansion of 1/3 in N 4.495 * [backup-simplify]: Simplify 1/3 into 1/3 4.495 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.495 * [taylor]: Taking taylor expansion of N in N 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [backup-simplify]: Simplify (/ 1 1) into 1 4.496 * [backup-simplify]: Simplify (log 1) into 0 4.496 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.496 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.497 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.497 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.497 * [taylor]: Taking taylor expansion of 1/3 in N 4.497 * [backup-simplify]: Simplify 1/3 into 1/3 4.497 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [backup-simplify]: Simplify (/ 1 1) into 1 4.498 * [backup-simplify]: Simplify (log 1) into 0 4.498 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.498 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.498 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.498 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.503 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.510 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.525 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.528 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.528 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.539 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.543 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.577 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.580 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.585 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.586 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.586 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.586 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.586 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.586 * [taylor]: Taking taylor expansion of 1/3 in N 4.586 * [backup-simplify]: Simplify 1/3 into 1/3 4.586 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.586 * [taylor]: Taking taylor expansion of N in N 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ 1 1) into 1 4.587 * [backup-simplify]: Simplify (log 1) into 0 4.588 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.588 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.588 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.588 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.588 * [taylor]: Taking taylor expansion of -1 in N 4.588 * [backup-simplify]: Simplify -1 into -1 4.588 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.589 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.589 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.589 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.589 * [taylor]: Taking taylor expansion of 1/3 in N 4.589 * [backup-simplify]: Simplify 1/3 into 1/3 4.589 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.589 * [taylor]: Taking taylor expansion of N in N 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (/ 1 1) into 1 4.590 * [backup-simplify]: Simplify (log 1) into 0 4.590 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.591 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.591 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.591 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.591 * [taylor]: Taking taylor expansion of -1 in N 4.591 * [backup-simplify]: Simplify -1 into -1 4.591 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.592 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.592 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.593 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.596 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.596 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.597 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.598 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.603 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.605 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.606 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.622 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.623 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.624 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.624 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.632 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.635 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.636 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.653 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.655 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.656 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.676 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.676 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.679 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.685 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.687 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 4.687 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.687 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.688 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.688 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.688 * [taylor]: Taking taylor expansion of 1/3 in N 4.688 * [backup-simplify]: Simplify 1/3 into 1/3 4.688 * [taylor]: Taking taylor expansion of (log N) in N 4.688 * [taylor]: Taking taylor expansion of N in N 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (log 1) into 0 4.689 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.689 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.689 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.689 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.689 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.689 * [taylor]: Taking taylor expansion of 1/3 in N 4.689 * [backup-simplify]: Simplify 1/3 into 1/3 4.689 * [taylor]: Taking taylor expansion of (log N) in N 4.689 * [taylor]: Taking taylor expansion of N in N 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (log 1) into 0 4.690 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.690 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.690 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.690 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.692 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.693 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.693 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.697 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.698 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.705 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.707 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.708 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.719 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.724 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.748 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.750 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.754 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.785 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.794 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.794 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.794 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.794 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.794 * [taylor]: Taking taylor expansion of 1/3 in N 4.794 * [backup-simplify]: Simplify 1/3 into 1/3 4.795 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.795 * [taylor]: Taking taylor expansion of N in N 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (/ 1 1) into 1 4.795 * [backup-simplify]: Simplify (log 1) into 0 4.796 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.796 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.796 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.796 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.796 * [taylor]: Taking taylor expansion of 1/3 in N 4.796 * [backup-simplify]: Simplify 1/3 into 1/3 4.796 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.796 * [taylor]: Taking taylor expansion of N in N 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (/ 1 1) into 1 4.797 * [backup-simplify]: Simplify (log 1) into 0 4.798 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.798 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.798 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.798 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.801 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.802 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.802 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.806 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.809 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.818 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.824 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.827 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.837 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.841 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.873 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.876 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.881 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.882 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.882 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.882 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.882 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.882 * [taylor]: Taking taylor expansion of 1/3 in N 4.882 * [backup-simplify]: Simplify 1/3 into 1/3 4.882 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.882 * [taylor]: Taking taylor expansion of N in N 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [backup-simplify]: Simplify (log 1) into 0 4.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.884 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.884 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.884 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.884 * [taylor]: Taking taylor expansion of -1 in N 4.884 * [backup-simplify]: Simplify -1 into -1 4.885 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.885 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.885 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.885 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.886 * [taylor]: Taking taylor expansion of 1/3 in N 4.886 * [backup-simplify]: Simplify 1/3 into 1/3 4.886 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.886 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.886 * [taylor]: Taking taylor expansion of N in N 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (/ 1 1) into 1 4.886 * [backup-simplify]: Simplify (log 1) into 0 4.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.887 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.887 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.887 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.887 * [taylor]: Taking taylor expansion of -1 in N 4.887 * [backup-simplify]: Simplify -1 into -1 4.888 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.888 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.889 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.890 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.894 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.903 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.904 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.912 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.915 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.927 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.928 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.929 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.929 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.940 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.944 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.945 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.968 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.978 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.978 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 4.979 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 4.979 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 4.979 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 4.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 4.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 4.979 * [taylor]: Taking taylor expansion of 1/3 in N 4.979 * [backup-simplify]: Simplify 1/3 into 1/3 4.979 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 4.979 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.979 * [taylor]: Taking taylor expansion of N in N 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (* 1 1) into 1 4.986 * [backup-simplify]: Simplify (log 1) into 0 4.988 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.988 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.988 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.988 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 4.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 4.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 4.988 * [taylor]: Taking taylor expansion of 1/3 in N 4.988 * [backup-simplify]: Simplify 1/3 into 1/3 4.988 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 4.988 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.988 * [taylor]: Taking taylor expansion of N in N 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (* 1 1) into 1 4.988 * [backup-simplify]: Simplify (log 1) into 0 4.989 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.989 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.989 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.989 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.991 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 4.991 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.994 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 4.995 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.999 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 5.000 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.007 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.007 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.008 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 5.009 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.019 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.020 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 5.025 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.048 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.048 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 5.053 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 5.053 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 5.053 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 5.053 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.053 * [taylor]: Taking taylor expansion of 1/3 in N 5.053 * [backup-simplify]: Simplify 1/3 into 1/3 5.053 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.053 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.053 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.053 * [taylor]: Taking taylor expansion of N in N 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (* 1 1) into 1 5.054 * [backup-simplify]: Simplify (/ 1 1) into 1 5.054 * [backup-simplify]: Simplify (log 1) into 0 5.054 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.054 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.055 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.055 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.055 * [taylor]: Taking taylor expansion of 1/3 in N 5.055 * [backup-simplify]: Simplify 1/3 into 1/3 5.055 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.055 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.055 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.055 * [taylor]: Taking taylor expansion of N in N 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (* 1 1) into 1 5.055 * [backup-simplify]: Simplify (/ 1 1) into 1 5.055 * [backup-simplify]: Simplify (log 1) into 0 5.056 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.056 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.056 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.056 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.058 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 5.059 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.062 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 5.063 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.069 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.070 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.073 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.093 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.093 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 5.098 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.098 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.119 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 5.126 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.164 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 5.172 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 5.173 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.173 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 5.173 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 5.173 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.173 * [taylor]: Taking taylor expansion of 1/3 in N 5.173 * [backup-simplify]: Simplify 1/3 into 1/3 5.173 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.173 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.173 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.173 * [taylor]: Taking taylor expansion of N in N 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (* 1 1) into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.175 * [backup-simplify]: Simplify (log 1) into 0 5.175 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.175 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.175 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.175 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.175 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.175 * [taylor]: Taking taylor expansion of -1 in N 5.175 * [backup-simplify]: Simplify -1 into -1 5.176 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.177 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 5.177 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.177 * [taylor]: Taking taylor expansion of 1/3 in N 5.177 * [backup-simplify]: Simplify 1/3 into 1/3 5.177 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.177 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.177 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.177 * [taylor]: Taking taylor expansion of N in N 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.177 * [backup-simplify]: Simplify (* 1 1) into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [backup-simplify]: Simplify (log 1) into 0 5.179 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.179 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.179 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.179 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.179 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.179 * [taylor]: Taking taylor expansion of -1 in N 5.179 * [backup-simplify]: Simplify -1 into -1 5.179 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.180 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.182 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.183 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.184 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.185 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.188 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.189 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 5.189 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.190 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.193 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.199 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 5.201 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.206 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.213 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.216 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.221 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.234 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 5.240 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.242 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.253 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.275 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 5.281 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 5.283 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.287 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.311 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 5.316 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.317 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 5.318 * * * [progress]: simplifying candidates 5.319 * [simplify]: Simplifying: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 5.320 * * [simplify]: Extracting # 0 : cost 44 inf + 0 5.320 * * [simplify]: Extracting # 1 : cost 58 inf + 0 5.320 * * [simplify]: Extracting # 2 : cost 51 inf + 170 5.321 * * [simplify]: Extracting # 3 : cost 18 inf + 5074 5.321 * * [simplify]: Extracting # 4 : cost 2 inf + 9030 5.322 * * [simplify]: Extracting # 5 : cost 0 inf + 9644 5.322 * * [simplify]: iteration 0 : 61 enodes (cost 17134 ) 5.338 * * [simplify]: Extracting # 0 : cost 0 inf + 9644 5.339 * * [simplify]: Extracting # 1 : cost 20 inf + 6998 5.340 * * [simplify]: Extracting # 2 : cost 6 inf + 9183 5.341 * * [simplify]: Extracting # 3 : cost 1 inf + 9902 5.342 * * [simplify]: Extracting # 4 : cost 0 inf + 10155 5.342 * * [simplify]: iteration 1 : 138 enodes (cost 14621 ) 5.420 * * [simplify]: Extracting # 0 : cost 0 inf + 10155 5.425 * * [simplify]: Extracting # 1 : cost 197 inf + 7404 5.434 * * [simplify]: Extracting # 2 : cost 11 inf + 50521 5.440 * * [simplify]: Extracting # 3 : cost 3 inf + 51954 5.445 * * [simplify]: Extracting # 4 : cost 0 inf + 52711 5.450 * * [simplify]: iteration 2 : 727 enodes (cost 14346 ) 6.415 * * [simplify]: Extracting # 0 : cost 0 inf + 52711 6.463 * * [simplify]: Extracting # 1 : cost 1744 inf + 32795 6.517 * * [simplify]: Extracting # 2 : cost 159 inf + 493929 6.568 * * [simplify]: Extracting # 3 : cost 35 inf + 506282 6.642 * * [simplify]: Extracting # 4 : cost 0 inf + 516290 6.714 * * [simplify]: iteration done: 5000 enodes (cost 13666 ) 6.714 * [simplify]: Simplified to: (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (* N N) (* (cbrt N) (cbrt N)) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (cbrt N) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (sqrt (cbrt N)) (cbrt N)) (cbrt N) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (* N -1))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (* N -1))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (* N -1))) (* (cbrt N) (cbrt N)) (pow (/ 1 N) -2/3) (* (* (cbrt -1) (cbrt -1)) (cbrt (* N N))) 6.719 * * * [progress]: adding candidates to table 7.022 * * [progress]: iteration 4 / 4 7.022 * * * [progress]: picking best candidate 7.041 * * * * [pick]: Picked # 7.041 * * * [progress]: localizing error 7.074 * * * [progress]: generating rewritten candidates 7.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 7.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 7.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.081 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 7.130 * * * [progress]: generating series expansions 7.130 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 7.130 * [backup-simplify]: Simplify (cbrt (* N N)) into (pow (pow N 2) 1/3) 7.130 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 7.130 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.130 * [taylor]: Taking taylor expansion of 1/3 in N 7.130 * [backup-simplify]: Simplify 1/3 into 1/3 7.130 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.130 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.130 * [taylor]: Taking taylor expansion of N in N 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.132 * [backup-simplify]: Simplify (log 1) into 0 7.133 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.133 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.133 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.133 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.133 * [taylor]: Taking taylor expansion of 1/3 in N 7.133 * [backup-simplify]: Simplify 1/3 into 1/3 7.133 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.133 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.133 * [taylor]: Taking taylor expansion of N in N 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (* 1 1) into 1 7.134 * [backup-simplify]: Simplify (log 1) into 0 7.135 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.135 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.135 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.136 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.138 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.140 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.140 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.145 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 7.147 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.148 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.154 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.155 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 7.157 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.157 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.168 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.169 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 7.173 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.173 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.184 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.185 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 7.188 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.207 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.207 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 7.216 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.216 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 7.216 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 7.216 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.216 * [taylor]: Taking taylor expansion of 1/3 in N 7.216 * [backup-simplify]: Simplify 1/3 into 1/3 7.216 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.216 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.216 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.216 * [taylor]: Taking taylor expansion of N in N 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (* 1 1) into 1 7.217 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [backup-simplify]: Simplify (log 1) into 0 7.218 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.218 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.219 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.219 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.219 * [taylor]: Taking taylor expansion of 1/3 in N 7.219 * [backup-simplify]: Simplify 1/3 into 1/3 7.219 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.219 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.219 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.219 * [taylor]: Taking taylor expansion of N in N 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [backup-simplify]: Simplify (* 1 1) into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) into 1 7.220 * [backup-simplify]: Simplify (log 1) into 0 7.220 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.220 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.220 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.221 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.222 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 7.223 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.223 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.230 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 7.231 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.236 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 7.237 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.237 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.244 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.245 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.246 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 7.247 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.247 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.268 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 7.274 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.274 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.295 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.295 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.297 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 7.300 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 7.300 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (/ 1 (- N)))) into (pow (/ 1 (pow N 2)) 1/3) 7.300 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 7.300 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.301 * [taylor]: Taking taylor expansion of 1/3 in N 7.301 * [backup-simplify]: Simplify 1/3 into 1/3 7.301 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.301 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.301 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.301 * [taylor]: Taking taylor expansion of N in N 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (* 1 1) into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.301 * [backup-simplify]: Simplify (log 1) into 0 7.302 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.302 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.302 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.302 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.302 * [taylor]: Taking taylor expansion of 1/3 in N 7.302 * [backup-simplify]: Simplify 1/3 into 1/3 7.302 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.302 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.302 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.302 * [taylor]: Taking taylor expansion of N in N 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (* 1 1) into 1 7.302 * [backup-simplify]: Simplify (/ 1 1) into 1 7.303 * [backup-simplify]: Simplify (log 1) into 0 7.303 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.303 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.303 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.303 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.305 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 7.306 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 7.312 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.319 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.319 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 7.322 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.334 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 7.337 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.337 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.349 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 7.352 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.352 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.381 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 7.385 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify (pow (/ 1 (- N)) -2/3) into (pow (/ -1 N) -2/3) 7.386 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 7.386 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 7.386 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 7.386 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.386 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.386 * [taylor]: Taking taylor expansion of 1/3 in N 7.386 * [backup-simplify]: Simplify 1/3 into 1/3 7.386 * [taylor]: Taking taylor expansion of (log N) in N 7.386 * [taylor]: Taking taylor expansion of N in N 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.386 * [backup-simplify]: Simplify (log 1) into 0 7.386 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.386 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.386 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.387 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.387 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.387 * [taylor]: Taking taylor expansion of 1/3 in N 7.387 * [backup-simplify]: Simplify 1/3 into 1/3 7.387 * [taylor]: Taking taylor expansion of (log N) in N 7.387 * [taylor]: Taking taylor expansion of N in N 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (log 1) into 0 7.387 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.387 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.387 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.387 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.388 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.389 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.389 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.391 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.396 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.398 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.409 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.413 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.424 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.427 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.453 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.460 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.461 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 7.461 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 7.461 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.461 * [taylor]: Taking taylor expansion of 1/3 in N 7.461 * [backup-simplify]: Simplify 1/3 into 1/3 7.461 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.461 * [taylor]: Taking taylor expansion of N in N 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.461 * [backup-simplify]: Simplify (/ 1 1) into 1 7.461 * [backup-simplify]: Simplify (log 1) into 0 7.462 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.462 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.462 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.462 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.462 * [taylor]: Taking taylor expansion of 1/3 in N 7.462 * [backup-simplify]: Simplify 1/3 into 1/3 7.462 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.462 * [taylor]: Taking taylor expansion of N in N 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify (/ 1 1) into 1 7.462 * [backup-simplify]: Simplify (log 1) into 0 7.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.463 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.463 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.463 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.464 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.464 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.465 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.467 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.469 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.472 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.474 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.481 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.483 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.483 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.497 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.499 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.503 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.503 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.521 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.526 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.526 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.526 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 7.526 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.526 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.526 * [taylor]: Taking taylor expansion of 1/3 in N 7.526 * [backup-simplify]: Simplify 1/3 into 1/3 7.526 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.526 * [taylor]: Taking taylor expansion of N in N 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify 1 into 1 7.526 * [backup-simplify]: Simplify (/ 1 1) into 1 7.527 * [backup-simplify]: Simplify (log 1) into 0 7.527 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.527 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.527 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.527 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.527 * [taylor]: Taking taylor expansion of -1 in N 7.527 * [backup-simplify]: Simplify -1 into -1 7.527 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.532 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.532 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.532 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.532 * [taylor]: Taking taylor expansion of 1/3 in N 7.532 * [backup-simplify]: Simplify 1/3 into 1/3 7.532 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.532 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.532 * [taylor]: Taking taylor expansion of N in N 7.532 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify 1 into 1 7.532 * [backup-simplify]: Simplify (/ 1 1) into 1 7.533 * [backup-simplify]: Simplify (log 1) into 0 7.533 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.533 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.534 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.534 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.534 * [taylor]: Taking taylor expansion of -1 in N 7.534 * [backup-simplify]: Simplify -1 into -1 7.534 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.535 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.535 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.536 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.539 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.540 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.541 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.546 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.548 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.549 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.549 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.553 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.555 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.556 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.563 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.566 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.567 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.579 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.585 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.616 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.617 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.620 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.621 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 7.622 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.622 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.622 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 7.622 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.622 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.622 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.623 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.623 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.624 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (+ (/ 1 N) 1.0) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.624 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 7.624 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.624 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.624 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.624 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.625 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.626 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (+ (/ 1 (- N)) 1.0) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) 7.626 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) in (N) around 0 7.626 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) in N 7.627 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) 7.627 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) in N 7.628 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) 7.629 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) into (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) N))) (/ (cbrt -1) (pow N 2)))) 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify (atan2 1.0 (- (+ 1 (* 1.0 (/ (cbrt -1) (/ 1 (- N))))) (/ (cbrt -1) (pow (/ 1 (- N)) 2)))) into (atan2 1.0 (- 1 (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1)))))) 7.630 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 7.630 * [backup-simplify]: Simplify (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) into (* N (+ N 1.0)) 7.630 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 7.630 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [taylor]: Taking taylor expansion of 1.0 in N 7.630 * [backup-simplify]: Simplify 1.0 into 1.0 7.630 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [taylor]: Taking taylor expansion of 1.0 in N 7.630 * [backup-simplify]: Simplify 1.0 into 1.0 7.631 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.631 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.631 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (+ 1 0) into 1 7.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.632 * [backup-simplify]: Simplify 1.0 into 1.0 7.633 * [backup-simplify]: Simplify (+ 0 0) into 0 7.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.633 * [backup-simplify]: Simplify 1 into 1 7.633 * [backup-simplify]: Simplify (+ 0 0) into 0 7.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify (+ 0 0) into 0 7.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (+ 0 0) into 0 7.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify (+ 0 0) into 0 7.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 7.643 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (+ 0 0) into 0 7.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify (+ 0 0) into 0 7.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 7.649 * [backup-simplify]: Simplify (* (* (+ (/ 1 N) 1.0) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))) into (/ (+ (/ 1 N) 1.0) N) 7.649 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 7.649 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.649 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.649 * [taylor]: Taking taylor expansion of N in N 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 1 into 1 7.650 * [backup-simplify]: Simplify (/ 1 1) into 1 7.650 * [taylor]: Taking taylor expansion of 1.0 in N 7.650 * [backup-simplify]: Simplify 1.0 into 1.0 7.650 * [taylor]: Taking taylor expansion of N in N 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.650 * [backup-simplify]: Simplify (+ 1 0) into 1 7.651 * [backup-simplify]: Simplify (/ 1 1) into 1 7.651 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.651 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.651 * [taylor]: Taking taylor expansion of N in N 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 1 into 1 7.651 * [backup-simplify]: Simplify (/ 1 1) into 1 7.651 * [taylor]: Taking taylor expansion of 1.0 in N 7.651 * [backup-simplify]: Simplify 1.0 into 1.0 7.651 * [taylor]: Taking taylor expansion of N in N 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 1 into 1 7.652 * [backup-simplify]: Simplify (+ 1 0) into 1 7.652 * [backup-simplify]: Simplify (/ 1 1) into 1 7.652 * [backup-simplify]: Simplify 1 into 1 7.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.654 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.656 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.656 * [backup-simplify]: Simplify 1.0 into 1.0 7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (+ 0 0) into 0 7.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.658 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.660 * [backup-simplify]: Simplify (+ 0 0) into 0 7.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (+ 0 0) into 0 7.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.667 * [backup-simplify]: Simplify (+ 0 0) into 0 7.669 * [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 7.669 * [backup-simplify]: Simplify 0 into 0 7.670 * [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 7.670 * [backup-simplify]: Simplify (+ 0 0) into 0 7.671 * [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 7.671 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 7.672 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- N)) 1.0) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))) into (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) 7.672 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in (N) around 0 7.672 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 7.672 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 7.672 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.672 * [taylor]: Taking taylor expansion of -1 in N 7.672 * [backup-simplify]: Simplify -1 into -1 7.673 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.674 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.674 * [taylor]: Taking taylor expansion of 1.0 in N 7.674 * [backup-simplify]: Simplify 1.0 into 1.0 7.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.674 * [taylor]: Taking taylor expansion of N in N 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (/ 1 1) into 1 7.674 * [taylor]: Taking taylor expansion of N in N 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.675 * [backup-simplify]: Simplify (- 1) into -1 7.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.676 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 7.677 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 7.677 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 7.677 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 7.677 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.677 * [taylor]: Taking taylor expansion of -1 in N 7.677 * [backup-simplify]: Simplify -1 into -1 7.677 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.678 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.678 * [taylor]: Taking taylor expansion of 1.0 in N 7.678 * [backup-simplify]: Simplify 1.0 into 1.0 7.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.678 * [taylor]: Taking taylor expansion of N in N 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 1 into 1 7.678 * [backup-simplify]: Simplify (/ 1 1) into 1 7.678 * [taylor]: Taking taylor expansion of N in N 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 1 into 1 7.678 * [backup-simplify]: Simplify (- 1) into -1 7.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.679 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 7.680 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 7.681 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.683 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1.0) (* 0 -1)) into (* 1.0 (cbrt -1)) 7.686 * [backup-simplify]: Simplify (- (/ (* 1.0 (cbrt -1)) 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)))) into (* 1.0 (cbrt -1)) 7.686 * [backup-simplify]: Simplify (* 1.0 (cbrt -1)) into (* 1.0 (cbrt -1)) 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (- 0) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.689 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1.0) (* 0 -1))) into 0 7.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)))) into 0 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.690 * [backup-simplify]: Simplify (- 0) into 0 7.691 * [backup-simplify]: Simplify (+ 0 0) into 0 7.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.692 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (- 0) into 0 7.694 * [backup-simplify]: Simplify (+ 0 0) into 0 7.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.696 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.697 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (- 0) into 0 7.698 * [backup-simplify]: Simplify (+ 0 0) into 0 7.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.700 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 7.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.701 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (- 0) into 0 7.702 * [backup-simplify]: Simplify (+ 0 0) into 0 7.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.704 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 7.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify 0 into 0 7.706 * [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 7.706 * [backup-simplify]: Simplify (- 0) into 0 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.708 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 7.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (* 1.0 (cbrt -1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify (+ (* (* 1.0 (cbrt -1)) (/ 1 (/ 1 (- N)))) (* (* -1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 2))) into (- (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1))))) 7.711 * * * [progress]: simplifying candidates 7.712 * [simplify]: Simplifying: (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* (* (cbrt (* N N)) (cbrt (* N N))) (cbrt (* N N))) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (+ (+ (log (+ N 1.0)) (log (cbrt (* N N)))) (log (cbrt N))) (+ (log (* (+ N 1.0) (cbrt (* N N)))) (log (cbrt N))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (exp (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* N N)) N) (* (* (* (* (+ N 1.0) (cbrt (* N N))) (* (+ N 1.0) (cbrt (* N N)))) (* (+ N 1.0) (cbrt (* N N)))) N) (* (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (sqrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt 1)) (* (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (sqrt (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) 1) (* (cbrt (* N N)) (cbrt N)) (* (* (+ (pow N 3) (pow 1.0 3)) (cbrt (* N N))) (cbrt N)) (* (* (- (* N N) (* 1.0 1.0)) (cbrt (* N N))) (cbrt N)) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (- 1 (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1)))))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (- (+ (* (pow N 2) (cbrt -1)) (* 1.0 (* N (cbrt -1))))) 7.713 * * [simplify]: Extracting # 0 : cost 52 inf + 0 7.713 * * [simplify]: Extracting # 1 : cost 82 inf + 0 7.713 * * [simplify]: Extracting # 2 : cost 88 inf + 48 7.713 * * [simplify]: Extracting # 3 : cost 70 inf + 3363 7.714 * * [simplify]: Extracting # 4 : cost 46 inf + 8226 7.715 * * [simplify]: Extracting # 5 : cost 22 inf + 15473 7.716 * * [simplify]: Extracting # 6 : cost 2 inf + 25131 7.718 * * [simplify]: Extracting # 7 : cost 0 inf + 26287 7.720 * * [simplify]: iteration 0 : 102 enodes (cost 20058 ) 7.743 * * [simplify]: Extracting # 0 : cost 0 inf + 26287 7.745 * * [simplify]: Extracting # 1 : cost 45 inf + 22634 7.748 * * [simplify]: Extracting # 2 : cost 8 inf + 29716 7.751 * * [simplify]: Extracting # 3 : cost 4 inf + 29459 7.754 * * [simplify]: Extracting # 4 : cost 0 inf + 30348 7.757 * * [simplify]: iteration 1 : 252 enodes (cost 17926 ) 7.857 * * [simplify]: Extracting # 0 : cost 0 inf + 30348 7.868 * * [simplify]: Extracting # 1 : cost 353 inf + 28921 7.883 * * [simplify]: Extracting # 2 : cost 10 inf + 105686 7.897 * * [simplify]: Extracting # 3 : cost 3 inf + 106092 7.914 * * [simplify]: Extracting # 4 : cost 0 inf + 107082 7.928 * * [simplify]: iteration 2 : 1237 enodes (cost 17567 ) 8.282 * * [simplify]: Extracting # 0 : cost 0 inf + 107082 8.312 * * [simplify]: Extracting # 1 : cost 2131 inf + 90561 8.403 * * [simplify]: Extracting # 2 : cost 161 inf + 549943 8.475 * * [simplify]: Extracting # 3 : cost 55 inf + 565142 8.557 * * [simplify]: Extracting # 4 : cost 0 inf + 581579 8.632 * * [simplify]: iteration done: 5001 enodes (cost 17087 ) 8.632 * [simplify]: Simplified to: (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* N N) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (cbrt N) (* (+ N 1.0) (cbrt (* N N)))) (* (cbrt N) (* (+ N 1.0) (cbrt (* N N)))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (exp (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* N (* (+ 1.0 N) (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)))) (* N (* (+ 1.0 N) (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)))) (* (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (sqrt N))) (* (+ N 1.0) (cbrt (* N N))) (* (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (sqrt (cbrt N))) (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (* N N)) (cbrt N)) (* (+ (* (* N N) N) (* (* 1.0 1.0) 1.0)) (* (cbrt (* N N)) (cbrt N))) (* (* (- (* N N) (* 1.0 1.0)) (cbrt (* N N))) (cbrt N)) (* (cbrt N) (cbrt N)) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (* N -1)) (cbrt -1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (- 1 (* (cbrt -1) (* N (+ N 1.0))))) (* N (+ N 1.0)) (* N (+ N 1.0)) (- (* (cbrt -1) (* N (+ N 1.0)))) 8.636 * * * [progress]: adding candidates to table 8.922 * [progress]: [Phase 3 of 3] Extracting. 8.922 * * [regime]: Finding splitpoints for: (# # # # # # # #) 8.924 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 8.924 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 8.993 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 9.045 * * * [regime]: Found split indices: #