33.044 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.058 * * [simplify]: Extracting # 0 : cost 0 0.058 * * [simplify]: Extracting # 1 : cost 0 0.058 * * [simplify]: Extracting # 2 : cost 0 0.058 * * [simplify]: Extracting # 3 : cost 0 0.058 * * [simplify]: Extracting # 4 : cost 0 0.058 * * [simplify]: Extracting # 5 : cost 0 0.058 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: Extracting # 1 : cost 0 0.060 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.065 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.066 * * [progress]: iteration 1 / 4 0.066 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.079 * * * [progress]: generating rewritten candidates 0.079 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.085 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.085 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.085 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [taylor]: Taking taylor expansion of (atan N) in N 0.086 * [backup-simplify]: Simplify (atan N) into (atan N) 0.086 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.086 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.086 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.086 * [taylor]: Taking taylor expansion of (atan N) in N 0.086 * [backup-simplify]: Simplify (atan N) into (atan N) 0.086 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.087 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.087 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 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 0.088 * [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 (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 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 (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.090 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.090 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.090 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.090 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.090 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.091 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.091 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.091 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.091 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 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 (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.094 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.094 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.094 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.094 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.094 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.094 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.094 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.094 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.094 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.095 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.095 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.098 * * * [progress]: simplifying candidates 0.099 * [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)) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: Extracting # 4 : cost 0 0.099 * * [simplify]: Extracting # 5 : cost 0 0.099 * * [simplify]: Extracting # 6 : cost 0 0.099 * * [simplify]: iteration 0 : 36 enodes (cost 209 ) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.107 * * [simplify]: Extracting # 2 : cost 0 0.107 * * [simplify]: Extracting # 3 : cost 0 0.107 * * [simplify]: Extracting # 4 : cost 0 0.107 * * [simplify]: iteration 1 : 73 enodes (cost 205 ) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: Extracting # 1 : cost 0 0.150 * * [simplify]: Extracting # 2 : cost 0 0.150 * * [simplify]: Extracting # 3 : cost 0 0.150 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: iteration 2 : 143 enodes (cost 191 ) 0.186 * * [simplify]: Extracting # 0 : cost 0 0.187 * * [simplify]: Extracting # 1 : cost 0 0.187 * * [simplify]: Extracting # 2 : cost 0 0.188 * * [simplify]: Extracting # 3 : cost 0 0.188 * * [simplify]: iteration 3 : 267 enodes (cost 187 ) 0.322 * * [simplify]: Extracting # 0 : cost 0 0.324 * * [simplify]: Extracting # 1 : cost 0 0.325 * * [simplify]: Extracting # 2 : cost 0 0.326 * * [simplify]: Extracting # 3 : cost 0 0.326 * * [simplify]: Extracting # 4 : cost 0 0.328 * * [simplify]: iteration 4 : 533 enodes (cost 185 ) 0.667 * * [simplify]: Extracting # 0 : cost 0 0.668 * * [simplify]: Extracting # 1 : cost 0 0.670 * * [simplify]: Extracting # 2 : cost 0 0.678 * * [simplify]: Extracting # 3 : cost 0 0.681 * * [simplify]: iteration 5 : 1495 enodes (cost 185 ) 2.194 * * [simplify]: Extracting # 0 : cost 0 2.200 * * [simplify]: Extracting # 1 : cost 0 2.205 * * [simplify]: Extracting # 2 : cost 0 2.211 * * [simplify]: Extracting # 3 : cost 0 2.225 * * [simplify]: Extracting # 4 : cost 0 2.234 * * [simplify]: Extracting # 5 : cost 0 2.240 * * [simplify]: iteration done: 5000 enodes (cost 185 ) 2.240 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 2.241 * * * [progress]: adding candidates to table 2.273 * * [progress]: iteration 2 / 4 2.273 * * * [progress]: picking best candidate 2.276 * * * * [pick]: Picked # 2.276 * * * [progress]: localizing error 2.295 * * * [progress]: generating rewritten candidates 2.295 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.295 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.319 * * * [progress]: generating series expansions 2.319 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.319 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.319 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.319 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.320 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.320 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.320 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.320 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.321 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.321 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.321 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.321 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.322 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.322 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.322 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.322 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.322 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.322 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.322 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.323 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.323 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.323 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.323 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of 1.0 in N 2.323 * [backup-simplify]: Simplify 1.0 into 1.0 2.323 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of 1.0 in N 2.323 * [backup-simplify]: Simplify 1.0 into 1.0 2.324 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.324 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ 1 0) into 1 2.325 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.325 * [backup-simplify]: Simplify 1.0 into 1.0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.326 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.337 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.337 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [taylor]: Taking taylor expansion of 1.0 in N 2.337 * [backup-simplify]: Simplify 1.0 into 1.0 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (+ 1 0) into 1 2.338 * [backup-simplify]: Simplify (/ 1 1) into 1 2.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.338 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.338 * [taylor]: Taking taylor expansion of N in N 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (/ 1 1) into 1 2.339 * [taylor]: Taking taylor expansion of 1.0 in N 2.339 * [backup-simplify]: Simplify 1.0 into 1.0 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (+ 1 0) into 1 2.340 * [backup-simplify]: Simplify (/ 1 1) into 1 2.340 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.344 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.344 * [backup-simplify]: Simplify 1.0 into 1.0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.361 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.361 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.361 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.361 * [taylor]: Taking taylor expansion of -1 in N 2.361 * [backup-simplify]: Simplify -1 into -1 2.361 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.361 * [taylor]: Taking taylor expansion of 1.0 in N 2.361 * [backup-simplify]: Simplify 1.0 into 1.0 2.361 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.361 * [taylor]: Taking taylor expansion of N in N 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (/ 1 1) into 1 2.361 * [taylor]: Taking taylor expansion of N in N 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (- 1) into -1 2.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.363 * [backup-simplify]: Simplify (/ -1 1) into -1 2.363 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.363 * [taylor]: Taking taylor expansion of -1 in N 2.363 * [backup-simplify]: Simplify -1 into -1 2.363 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.363 * [taylor]: Taking taylor expansion of 1.0 in N 2.363 * [backup-simplify]: Simplify 1.0 into 1.0 2.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.363 * [taylor]: Taking taylor expansion of N in N 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (/ 1 1) into 1 2.363 * [taylor]: Taking taylor expansion of N in N 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 1 into 1 2.364 * [backup-simplify]: Simplify (- 1) into -1 2.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.365 * [backup-simplify]: Simplify (/ -1 1) into -1 2.365 * [backup-simplify]: Simplify (* -1 -1) into 1 2.365 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.370 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.372 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.372 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.389 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (- 0) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.404 * * * [progress]: simplifying candidates 2.405 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 2.406 * * [simplify]: Extracting # 0 : cost 0 2.406 * * [simplify]: Extracting # 1 : cost 0 2.406 * * [simplify]: Extracting # 2 : cost 0 2.407 * * [simplify]: Extracting # 3 : cost 0 2.407 * * [simplify]: Extracting # 4 : cost 0 2.407 * * [simplify]: Extracting # 5 : cost 0 2.407 * * [simplify]: Extracting # 6 : cost 0 2.407 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.433 * * [simplify]: Extracting # 0 : cost 0 2.433 * * [simplify]: Extracting # 1 : cost 0 2.433 * * [simplify]: Extracting # 2 : cost 0 2.434 * * [simplify]: Extracting # 3 : cost 0 2.434 * * [simplify]: Extracting # 4 : cost 0 2.434 * * [simplify]: iteration 1 : 120 enodes (cost 312 ) 2.479 * * [simplify]: Extracting # 0 : cost 0 2.480 * * [simplify]: Extracting # 1 : cost 0 2.480 * * [simplify]: Extracting # 2 : cost 0 2.480 * * [simplify]: Extracting # 3 : cost 0 2.481 * * [simplify]: Extracting # 4 : cost 0 2.481 * * [simplify]: iteration 2 : 356 enodes (cost 264 ) 2.771 * * [simplify]: Extracting # 0 : cost 0 2.773 * * [simplify]: Extracting # 1 : cost 0 2.775 * * [simplify]: Extracting # 2 : cost 0 2.776 * * [simplify]: Extracting # 3 : cost 0 2.778 * * [simplify]: Extracting # 4 : cost 0 2.779 * * [simplify]: iteration 3 : 1001 enodes (cost 264 ) 5.066 * * [simplify]: Extracting # 0 : cost 0 5.075 * * [simplify]: Extracting # 1 : cost 0 5.078 * * [simplify]: Extracting # 2 : cost 0 5.081 * * [simplify]: Extracting # 3 : cost 0 5.084 * * [simplify]: Extracting # 4 : cost 0 5.087 * * [simplify]: iteration 4 : 4336 enodes (cost 264 ) 6.718 * * [simplify]: Extracting # 0 : cost 0 6.724 * * [simplify]: Extracting # 1 : cost 0 6.731 * * [simplify]: Extracting # 2 : cost 0 6.738 * * [simplify]: Extracting # 3 : cost 0 6.745 * * [simplify]: Extracting # 4 : cost 0 6.755 * * [simplify]: iteration done: 5002 enodes (cost 264 ) 6.756 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (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 (* (+ 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) 6.756 * * * [progress]: adding candidates to table 6.830 * * [progress]: iteration 3 / 4 6.830 * * * [progress]: picking best candidate 6.841 * * * * [pick]: Picked # 6.841 * * * [progress]: localizing error 6.853 * * * [progress]: generating rewritten candidates 6.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.861 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 6.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 6.887 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 6.917 * * * [progress]: generating series expansions 6.917 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.917 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.917 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.917 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.917 * [taylor]: Taking taylor expansion of 1/3 in N 6.917 * [backup-simplify]: Simplify 1/3 into 1/3 6.917 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.917 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.917 * [taylor]: Taking taylor expansion of N in N 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.917 * [taylor]: Taking taylor expansion of N in N 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [taylor]: Taking taylor expansion of 1.0 in N 6.917 * [backup-simplify]: Simplify 1.0 into 1.0 6.918 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.918 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.918 * [backup-simplify]: Simplify (+ 1 0) into 1 6.919 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.920 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.921 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.921 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.922 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.922 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.922 * [taylor]: Taking taylor expansion of 1/3 in N 6.922 * [backup-simplify]: Simplify 1/3 into 1/3 6.922 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.922 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.922 * [taylor]: Taking taylor expansion of N in N 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.922 * [taylor]: Taking taylor expansion of N in N 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [taylor]: Taking taylor expansion of 1.0 in N 6.922 * [backup-simplify]: Simplify 1.0 into 1.0 6.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.923 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.923 * [backup-simplify]: Simplify (+ 1 0) into 1 6.924 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.925 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.925 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.925 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.926 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.926 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.926 * [backup-simplify]: Simplify (+ 0 0) into 0 6.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.931 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.931 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 6.933 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.933 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.934 * [backup-simplify]: Simplify (+ 0 0) into 0 6.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 6.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.941 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.942 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 6.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.952 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.955 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 6.955 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 6.955 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 6.955 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.955 * [taylor]: Taking taylor expansion of 1/3 in N 6.955 * [backup-simplify]: Simplify 1/3 into 1/3 6.955 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.955 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.955 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.955 * [taylor]: Taking taylor expansion of N in N 6.955 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (/ 1 1) into 1 6.956 * [taylor]: Taking taylor expansion of 1.0 in N 6.956 * [backup-simplify]: Simplify 1.0 into 1.0 6.956 * [taylor]: Taking taylor expansion of N in N 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (+ 1 0) into 1 6.956 * [backup-simplify]: Simplify (/ 1 1) into 1 6.957 * [backup-simplify]: Simplify (log 1) into 0 6.957 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.957 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.957 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.957 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.957 * [taylor]: Taking taylor expansion of 1/3 in N 6.957 * [backup-simplify]: Simplify 1/3 into 1/3 6.957 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.957 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.957 * [taylor]: Taking taylor expansion of N in N 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (/ 1 1) into 1 6.958 * [taylor]: Taking taylor expansion of 1.0 in N 6.958 * [backup-simplify]: Simplify 1.0 into 1.0 6.958 * [taylor]: Taking taylor expansion of N in N 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (+ 1 0) into 1 6.958 * [backup-simplify]: Simplify (/ 1 1) into 1 6.958 * [backup-simplify]: Simplify (log 1) into 0 6.959 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.959 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.959 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.959 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.961 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.965 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.966 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 6.967 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.968 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (+ 0 0) into 0 6.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.983 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.985 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 6.992 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.993 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.994 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 6.994 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 6.994 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 6.994 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.995 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.995 * [taylor]: Taking taylor expansion of -1 in N 6.995 * [backup-simplify]: Simplify -1 into -1 6.995 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.996 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.996 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.997 * [taylor]: Taking taylor expansion of 1/3 in N 6.997 * [backup-simplify]: Simplify 1/3 into 1/3 6.997 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.997 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.997 * [taylor]: Taking taylor expansion of 1.0 in N 6.997 * [backup-simplify]: Simplify 1.0 into 1.0 6.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.997 * [taylor]: Taking taylor expansion of N in N 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.997 * [backup-simplify]: Simplify (/ 1 1) into 1 6.997 * [taylor]: Taking taylor expansion of N in N 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.998 * [backup-simplify]: Simplify (- 1) into -1 6.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.999 * [backup-simplify]: Simplify (/ -1 1) into -1 6.999 * [backup-simplify]: Simplify (log -1) into (log -1) 7.000 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.000 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.001 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.001 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.001 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.001 * [taylor]: Taking taylor expansion of -1 in N 7.001 * [backup-simplify]: Simplify -1 into -1 7.002 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.002 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.002 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.002 * [taylor]: Taking taylor expansion of 1/3 in N 7.003 * [backup-simplify]: Simplify 1/3 into 1/3 7.003 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.003 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.003 * [taylor]: Taking taylor expansion of 1.0 in N 7.003 * [backup-simplify]: Simplify 1.0 into 1.0 7.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.003 * [taylor]: Taking taylor expansion of N in N 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify 1 into 1 7.003 * [backup-simplify]: Simplify (/ 1 1) into 1 7.003 * [taylor]: Taking taylor expansion of N in N 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (- 1) into -1 7.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.005 * [backup-simplify]: Simplify (/ -1 1) into -1 7.005 * [backup-simplify]: Simplify (log -1) into (log -1) 7.006 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.006 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.007 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.008 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.009 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.010 * [backup-simplify]: Simplify (- 0) into 0 7.011 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.013 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.022 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.023 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.025 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.026 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.027 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.027 * [backup-simplify]: Simplify (- 0) into 0 7.028 * [backup-simplify]: Simplify (+ 0 0) into 0 7.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.035 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.036 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.040 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.042 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.043 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.045 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.045 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 7.045 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.045 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.045 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.045 * [taylor]: Taking taylor expansion of 1/3 in N 7.045 * [backup-simplify]: Simplify 1/3 into 1/3 7.046 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.046 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.046 * [taylor]: Taking taylor expansion of N in N 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.046 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.046 * [taylor]: Taking taylor expansion of N in N 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.046 * [taylor]: Taking taylor expansion of 1.0 in N 7.046 * [backup-simplify]: Simplify 1.0 into 1.0 7.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.046 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.046 * [backup-simplify]: Simplify (+ 1 0) into 1 7.048 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.048 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.048 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.049 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.049 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.049 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.049 * [taylor]: Taking taylor expansion of 1/3 in N 7.049 * [backup-simplify]: Simplify 1/3 into 1/3 7.049 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.049 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.049 * [taylor]: Taking taylor expansion of N in N 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.049 * [taylor]: Taking taylor expansion of N in N 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [taylor]: Taking taylor expansion of 1.0 in N 7.049 * [backup-simplify]: Simplify 1.0 into 1.0 7.050 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.050 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.050 * [backup-simplify]: Simplify (+ 1 0) into 1 7.051 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.051 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.052 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.052 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.052 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.053 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.053 * [backup-simplify]: Simplify (+ 0 0) into 0 7.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.057 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.058 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.059 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.060 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.060 * [backup-simplify]: Simplify (+ 0 0) into 0 7.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.067 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.068 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.080 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.080 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.080 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.080 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.080 * [taylor]: Taking taylor expansion of 1/3 in N 7.080 * [backup-simplify]: Simplify 1/3 into 1/3 7.080 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.080 * [taylor]: Taking taylor expansion of N in N 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.080 * [taylor]: Taking taylor expansion of 1.0 in N 7.080 * [backup-simplify]: Simplify 1.0 into 1.0 7.080 * [taylor]: Taking taylor expansion of N in N 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 1 into 1 7.081 * [backup-simplify]: Simplify (+ 1 0) into 1 7.081 * [backup-simplify]: Simplify (/ 1 1) into 1 7.081 * [backup-simplify]: Simplify (log 1) into 0 7.081 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.081 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.081 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.081 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.082 * [taylor]: Taking taylor expansion of 1/3 in N 7.082 * [backup-simplify]: Simplify 1/3 into 1/3 7.082 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.082 * [taylor]: Taking taylor expansion of N in N 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.082 * [backup-simplify]: Simplify (/ 1 1) into 1 7.082 * [taylor]: Taking taylor expansion of 1.0 in N 7.082 * [backup-simplify]: Simplify 1.0 into 1.0 7.082 * [taylor]: Taking taylor expansion of N in N 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.082 * [backup-simplify]: Simplify (+ 1 0) into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.083 * [backup-simplify]: Simplify (log 1) into 0 7.083 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.083 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.083 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.083 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.085 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.090 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.090 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.091 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.092 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.092 * [backup-simplify]: Simplify (+ 0 0) into 0 7.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.100 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.101 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.111 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.111 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.112 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.113 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 7.113 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 7.113 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.113 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.113 * [taylor]: Taking taylor expansion of -1 in N 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.114 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.114 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.114 * [taylor]: Taking taylor expansion of 1/3 in N 7.114 * [backup-simplify]: Simplify 1/3 into 1/3 7.114 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.114 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.114 * [taylor]: Taking taylor expansion of 1.0 in N 7.114 * [backup-simplify]: Simplify 1.0 into 1.0 7.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.114 * [taylor]: Taking taylor expansion of N in N 7.114 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify (/ 1 1) into 1 7.115 * [taylor]: Taking taylor expansion of N in N 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify (- 1) into -1 7.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.116 * [backup-simplify]: Simplify (/ -1 1) into -1 7.116 * [backup-simplify]: Simplify (log -1) into (log -1) 7.117 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.117 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.117 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.117 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.117 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.117 * [taylor]: Taking taylor expansion of -1 in N 7.117 * [backup-simplify]: Simplify -1 into -1 7.118 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.118 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.118 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.118 * [taylor]: Taking taylor expansion of 1/3 in N 7.118 * [backup-simplify]: Simplify 1/3 into 1/3 7.118 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.118 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.118 * [taylor]: Taking taylor expansion of 1.0 in N 7.118 * [backup-simplify]: Simplify 1.0 into 1.0 7.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.118 * [taylor]: Taking taylor expansion of N in N 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ 1 1) into 1 7.119 * [taylor]: Taking taylor expansion of N in N 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (- 1) into -1 7.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.119 * [backup-simplify]: Simplify (/ -1 1) into -1 7.120 * [backup-simplify]: Simplify (log -1) into (log -1) 7.120 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.120 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.121 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.121 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.122 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify (- 0) into 0 7.123 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.124 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.129 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.129 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.132 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.133 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify (+ 0 0) into 0 7.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.141 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.142 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.146 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.148 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.149 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.152 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.152 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 7.152 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.152 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.152 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.152 * [taylor]: Taking taylor expansion of 1/3 in N 7.152 * [backup-simplify]: Simplify 1/3 into 1/3 7.152 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.152 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.152 * [taylor]: Taking taylor expansion of N in N 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.152 * [taylor]: Taking taylor expansion of N in N 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [taylor]: Taking taylor expansion of 1.0 in N 7.152 * [backup-simplify]: Simplify 1.0 into 1.0 7.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.153 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.153 * [backup-simplify]: Simplify (+ 1 0) into 1 7.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.155 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.155 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.155 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.155 * [taylor]: Taking taylor expansion of 1/3 in N 7.155 * [backup-simplify]: Simplify 1/3 into 1/3 7.155 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.155 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.155 * [taylor]: Taking taylor expansion of N in N 7.155 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify 1 into 1 7.155 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.155 * [taylor]: Taking taylor expansion of N in N 7.155 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify 1 into 1 7.156 * [taylor]: Taking taylor expansion of 1.0 in N 7.156 * [backup-simplify]: Simplify 1.0 into 1.0 7.156 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.156 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.156 * [backup-simplify]: Simplify (+ 1 0) into 1 7.157 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.157 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.158 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.158 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.159 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.159 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.159 * [backup-simplify]: Simplify (+ 0 0) into 0 7.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.163 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.164 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.166 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.166 * [backup-simplify]: Simplify (+ 0 0) into 0 7.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.173 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.175 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.181 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.186 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.186 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.186 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.186 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.186 * [taylor]: Taking taylor expansion of 1/3 in N 7.186 * [backup-simplify]: Simplify 1/3 into 1/3 7.186 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.187 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.187 * [taylor]: Taking taylor expansion of N in N 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.187 * [backup-simplify]: Simplify (/ 1 1) into 1 7.187 * [taylor]: Taking taylor expansion of 1.0 in N 7.187 * [backup-simplify]: Simplify 1.0 into 1.0 7.187 * [taylor]: Taking taylor expansion of N in N 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.187 * [backup-simplify]: Simplify (+ 1 0) into 1 7.187 * [backup-simplify]: Simplify (/ 1 1) into 1 7.188 * [backup-simplify]: Simplify (log 1) into 0 7.188 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.188 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.188 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.188 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.188 * [taylor]: Taking taylor expansion of 1/3 in N 7.188 * [backup-simplify]: Simplify 1/3 into 1/3 7.188 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.188 * [taylor]: Taking taylor expansion of N in N 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.189 * [backup-simplify]: Simplify (/ 1 1) into 1 7.189 * [taylor]: Taking taylor expansion of 1.0 in N 7.189 * [backup-simplify]: Simplify 1.0 into 1.0 7.189 * [taylor]: Taking taylor expansion of N in N 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [backup-simplify]: Simplify (+ 1 0) into 1 7.189 * [backup-simplify]: Simplify (/ 1 1) into 1 7.189 * [backup-simplify]: Simplify (log 1) into 0 7.190 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.190 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.190 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.190 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.192 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.200 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.201 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.202 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.203 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.204 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.217 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.218 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.221 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.221 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.222 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.222 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 7.222 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 7.222 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.222 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.222 * [taylor]: Taking taylor expansion of -1 in N 7.222 * [backup-simplify]: Simplify -1 into -1 7.223 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.223 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.223 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.223 * [taylor]: Taking taylor expansion of 1/3 in N 7.223 * [backup-simplify]: Simplify 1/3 into 1/3 7.223 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.223 * [taylor]: Taking taylor expansion of 1.0 in N 7.223 * [backup-simplify]: Simplify 1.0 into 1.0 7.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.223 * [taylor]: Taking taylor expansion of N in N 7.223 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (/ 1 1) into 1 7.224 * [taylor]: Taking taylor expansion of N in N 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (- 1) into -1 7.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.225 * [backup-simplify]: Simplify (/ -1 1) into -1 7.226 * [backup-simplify]: Simplify (log -1) into (log -1) 7.226 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.227 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.227 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.227 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.227 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.227 * [taylor]: Taking taylor expansion of -1 in N 7.227 * [backup-simplify]: Simplify -1 into -1 7.227 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.228 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.228 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.228 * [taylor]: Taking taylor expansion of 1/3 in N 7.228 * [backup-simplify]: Simplify 1/3 into 1/3 7.228 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.228 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.228 * [taylor]: Taking taylor expansion of 1.0 in N 7.228 * [backup-simplify]: Simplify 1.0 into 1.0 7.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.228 * [taylor]: Taking taylor expansion of N in N 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (/ 1 1) into 1 7.228 * [taylor]: Taking taylor expansion of N in N 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (- 1) into -1 7.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.229 * [backup-simplify]: Simplify (/ -1 1) into -1 7.230 * [backup-simplify]: Simplify (log -1) into (log -1) 7.230 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.231 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.231 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.232 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.232 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (- 0) into 0 7.233 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.234 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.239 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.240 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.242 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.243 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.244 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (- 0) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.259 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.260 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.266 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.267 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.269 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.269 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 7.270 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 7.270 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 7.270 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 7.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 7.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 7.270 * [taylor]: Taking taylor expansion of 1/3 in N 7.270 * [backup-simplify]: Simplify 1/3 into 1/3 7.270 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 7.270 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 7.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.270 * [taylor]: Taking taylor expansion of N in N 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.270 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 7.270 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.270 * [taylor]: Taking taylor expansion of N in N 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.270 * [taylor]: Taking taylor expansion of 1.0 in N 7.270 * [backup-simplify]: Simplify 1.0 into 1.0 7.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.270 * [backup-simplify]: Simplify (* 1 1) into 1 7.271 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.271 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 7.271 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.272 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 7.272 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 7.272 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 7.272 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 7.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 7.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 7.272 * [taylor]: Taking taylor expansion of 1/3 in N 7.272 * [backup-simplify]: Simplify 1/3 into 1/3 7.272 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 7.273 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 7.273 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.273 * [taylor]: Taking taylor expansion of N in N 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 7.273 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.273 * [taylor]: Taking taylor expansion of N in N 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [taylor]: Taking taylor expansion of 1.0 in N 7.273 * [backup-simplify]: Simplify 1.0 into 1.0 7.273 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.273 * [backup-simplify]: Simplify (* 1 1) into 1 7.273 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.274 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 7.274 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.274 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 7.275 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 7.275 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 7.275 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 7.276 * [backup-simplify]: Simplify (+ 1 0) into 1 7.277 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 7.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.278 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 7.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 7.282 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 7.283 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 7.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 7.285 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 7.285 * [backup-simplify]: Simplify (+ 0 0) into 0 7.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.287 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 7.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 7.299 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 7.307 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 7.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 7.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 7.320 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 7.320 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 7.320 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 7.320 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 7.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 7.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 7.320 * [taylor]: Taking taylor expansion of 1/3 in N 7.320 * [backup-simplify]: Simplify 1/3 into 1/3 7.320 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 7.320 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 7.320 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 7.320 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.320 * [taylor]: Taking taylor expansion of N in N 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify (/ 1 1) into 1 7.321 * [taylor]: Taking taylor expansion of 1.0 in N 7.321 * [backup-simplify]: Simplify 1.0 into 1.0 7.321 * [backup-simplify]: Simplify (+ 1 0) into 1 7.321 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.321 * [taylor]: Taking taylor expansion of N in N 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (* 1 1) into 1 7.321 * [backup-simplify]: Simplify (* 1 1) into 1 7.322 * [backup-simplify]: Simplify (/ 1 1) into 1 7.322 * [backup-simplify]: Simplify (log 1) into 0 7.322 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.322 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.322 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.322 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 7.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 7.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 7.322 * [taylor]: Taking taylor expansion of 1/3 in N 7.322 * [backup-simplify]: Simplify 1/3 into 1/3 7.322 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 7.322 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 7.322 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 7.322 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.322 * [taylor]: Taking taylor expansion of N in N 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (/ 1 1) into 1 7.323 * [taylor]: Taking taylor expansion of 1.0 in N 7.323 * [backup-simplify]: Simplify 1.0 into 1.0 7.323 * [backup-simplify]: Simplify (+ 1 0) into 1 7.323 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.323 * [taylor]: Taking taylor expansion of N in N 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (* 1 1) into 1 7.324 * [backup-simplify]: Simplify (* 1 1) into 1 7.324 * [backup-simplify]: Simplify (/ 1 1) into 1 7.324 * [backup-simplify]: Simplify (log 1) into 0 7.324 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.324 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.324 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.325 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 7.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.326 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.328 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 7.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 7.332 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.332 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 7.334 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 7.334 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 7.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.335 * [backup-simplify]: Simplify (+ 0 0) into 0 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.338 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 7.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 7.350 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.351 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 7.354 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 7.354 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 7.355 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 7.355 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) 7.355 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 7.355 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 7.355 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.355 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.355 * [taylor]: Taking taylor expansion of -1 in N 7.355 * [backup-simplify]: Simplify -1 into -1 7.356 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.356 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.356 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 7.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 7.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 7.356 * [taylor]: Taking taylor expansion of 1/3 in N 7.356 * [backup-simplify]: Simplify 1/3 into 1/3 7.356 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 7.356 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 7.356 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 7.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.356 * [taylor]: Taking taylor expansion of 1.0 in N 7.356 * [backup-simplify]: Simplify 1.0 into 1.0 7.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.356 * [taylor]: Taking taylor expansion of N in N 7.356 * [backup-simplify]: Simplify 0 into 0 7.356 * [backup-simplify]: Simplify 1 into 1 7.356 * [backup-simplify]: Simplify (/ 1 1) into 1 7.357 * [backup-simplify]: Simplify (- 1) into -1 7.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.357 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.357 * [taylor]: Taking taylor expansion of N in N 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 1 into 1 7.357 * [backup-simplify]: Simplify (* -1 -1) into 1 7.358 * [backup-simplify]: Simplify (* 1 1) into 1 7.358 * [backup-simplify]: Simplify (/ 1 1) into 1 7.358 * [backup-simplify]: Simplify (log 1) into 0 7.358 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.358 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.358 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.358 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 7.358 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.359 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.359 * [taylor]: Taking taylor expansion of -1 in N 7.359 * [backup-simplify]: Simplify -1 into -1 7.359 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.359 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.359 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 7.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 7.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 7.360 * [taylor]: Taking taylor expansion of 1/3 in N 7.360 * [backup-simplify]: Simplify 1/3 into 1/3 7.360 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 7.360 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 7.360 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 7.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.360 * [taylor]: Taking taylor expansion of 1.0 in N 7.360 * [backup-simplify]: Simplify 1.0 into 1.0 7.360 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.360 * [taylor]: Taking taylor expansion of N in N 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 1 into 1 7.360 * [backup-simplify]: Simplify (/ 1 1) into 1 7.360 * [backup-simplify]: Simplify (- 1) into -1 7.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.360 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.361 * [taylor]: Taking taylor expansion of N in N 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 1 into 1 7.361 * [backup-simplify]: Simplify (* -1 -1) into 1 7.361 * [backup-simplify]: Simplify (* 1 1) into 1 7.361 * [backup-simplify]: Simplify (/ 1 1) into 1 7.361 * [backup-simplify]: Simplify (log 1) into 0 7.362 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.362 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.362 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.363 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.364 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 7.364 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (- 0) into 0 7.365 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.366 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.368 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 7.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 7.373 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.373 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 7.375 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 7.375 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.376 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 7.377 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.378 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.382 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 7.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 7.392 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.393 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 7.400 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 7.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.402 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.403 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 7.404 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 7.410 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 7.411 * * * [progress]: simplifying candidates 7.412 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 7.414 * * [simplify]: Extracting # 0 : cost 0 7.415 * * [simplify]: Extracting # 1 : cost 0 7.415 * * [simplify]: Extracting # 2 : cost 0 7.415 * * [simplify]: Extracting # 3 : cost 0 7.415 * * [simplify]: Extracting # 4 : cost 0 7.415 * * [simplify]: Extracting # 5 : cost 0 7.415 * * [simplify]: Extracting # 6 : cost 0 7.416 * * [simplify]: Extracting # 7 : cost 0 7.416 * * [simplify]: Extracting # 8 : cost 0 7.416 * * [simplify]: Extracting # 9 : cost 0 7.416 * * [simplify]: Extracting # 10 : cost 0 7.416 * * [simplify]: Extracting # 11 : cost 0 7.417 * * [simplify]: Extracting # 12 : cost 0 7.417 * * [simplify]: Extracting # 13 : cost 0 7.417 * * [simplify]: Extracting # 14 : cost 0 7.417 * * [simplify]: Extracting # 15 : cost 0 7.417 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 7.470 * * [simplify]: Extracting # 0 : cost 0 7.471 * * [simplify]: Extracting # 1 : cost 0 7.472 * * [simplify]: Extracting # 2 : cost 0 7.472 * * [simplify]: Extracting # 3 : cost 0 7.473 * * [simplify]: Extracting # 4 : cost 0 7.474 * * [simplify]: Extracting # 5 : cost 0 7.475 * * [simplify]: iteration 1 : 354 enodes (cost 1427 ) 7.626 * * [simplify]: Extracting # 0 : cost 0 7.628 * * [simplify]: Extracting # 1 : cost 0 7.630 * * [simplify]: Extracting # 2 : cost 0 7.632 * * [simplify]: Extracting # 3 : cost 0 7.633 * * [simplify]: Extracting # 4 : cost 0 7.634 * * [simplify]: iteration 2 : 973 enodes (cost 1328 ) 8.216 * * [simplify]: Extracting # 0 : cost 0 8.220 * * [simplify]: Extracting # 1 : cost 0 8.224 * * [simplify]: Extracting # 2 : cost 0 8.227 * * [simplify]: Extracting # 3 : cost 0 8.231 * * [simplify]: Extracting # 4 : cost 0 8.235 * * [simplify]: iteration 3 : 2854 enodes (cost 1135 ) 9.360 * * [simplify]: Extracting # 0 : cost 0 9.368 * * [simplify]: Extracting # 1 : cost 0 9.376 * * [simplify]: Extracting # 2 : cost 0 9.382 * * [simplify]: Extracting # 3 : cost 0 9.388 * * [simplify]: Extracting # 4 : cost 0 9.394 * * [simplify]: Extracting # 5 : cost 0 9.400 * * [simplify]: iteration done: 5001 enodes (cost 1091 ) 9.402 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) 2/3 2 (pow (cbrt (* (+ N 1.0) N)) 6) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) 2 (* 2 (log (cbrt (* (+ N 1.0) N)))) (* 2 (log (cbrt (* (+ N 1.0) N)))) (exp (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (* (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4))) (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* (+ N 1.0) N))) (+ 4 1)) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* 1.0 (* N N))) (+ (* 0.6666666666666666 N) (+ (* 0.5555555555555556 (* N N)) 1))) (* (/ 0.6666666666666666 (/ 1.0 (cbrt 1.0))) (/ (* N N) (/ 1.0 (pow N 2/3))))) (- (+ (* 0.6666666666666666 (cbrt N)) (pow (/ 1 N) -4/3)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)) (+ (* (* 0.6666666666666666 (pow (cbrt -1) 2)) (cbrt N)) (* (pow (cbrt -1) 2) (- (cbrt (pow N 4)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)))) 9.403 * * * [progress]: adding candidates to table 9.851 * * [progress]: iteration 4 / 4 9.851 * * * [progress]: picking best candidate 9.862 * * * * [pick]: Picked # 9.862 * * * [progress]: localizing error 9.883 * * * [progress]: generating rewritten candidates 9.883 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 9.890 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2 1) 9.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 2 1) 9.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1 1) 9.920 * * * [progress]: generating series expansions 9.920 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 9.920 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 9.920 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 9.920 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 9.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 9.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 9.920 * [taylor]: Taking taylor expansion of 1/3 in N 9.920 * [backup-simplify]: Simplify 1/3 into 1/3 9.920 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 9.920 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 9.920 * [taylor]: Taking taylor expansion of N in N 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.920 * [taylor]: Taking taylor expansion of N in N 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [taylor]: Taking taylor expansion of 1.0 in N 9.920 * [backup-simplify]: Simplify 1.0 into 1.0 9.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.921 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.922 * [backup-simplify]: Simplify (+ 1 0) into 1 9.923 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 9.923 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.923 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.924 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.924 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.924 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 9.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 9.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 9.924 * [taylor]: Taking taylor expansion of 1/3 in N 9.924 * [backup-simplify]: Simplify 1/3 into 1/3 9.924 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 9.924 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 9.924 * [taylor]: Taking taylor expansion of N in N 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.925 * [taylor]: Taking taylor expansion of N in N 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of 1.0 in N 9.925 * [backup-simplify]: Simplify 1.0 into 1.0 9.925 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.925 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.925 * [backup-simplify]: Simplify (+ 1 0) into 1 9.926 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 9.927 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.927 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.928 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.928 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.928 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.929 * [backup-simplify]: Simplify (+ 0 0) into 0 9.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 9.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.933 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.933 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 9.935 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.935 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.936 * [backup-simplify]: Simplify (+ 0 0) into 0 9.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 9.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 9.943 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.945 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 9.951 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 9.953 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 9.956 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 9.957 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 9.957 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 9.957 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.957 * [taylor]: Taking taylor expansion of 1/3 in N 9.957 * [backup-simplify]: Simplify 1/3 into 1/3 9.957 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.957 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.957 * [taylor]: Taking taylor expansion of N in N 9.957 * [backup-simplify]: Simplify 0 into 0 9.957 * [backup-simplify]: Simplify 1 into 1 9.957 * [backup-simplify]: Simplify (/ 1 1) into 1 9.957 * [taylor]: Taking taylor expansion of 1.0 in N 9.957 * [backup-simplify]: Simplify 1.0 into 1.0 9.957 * [taylor]: Taking taylor expansion of N in N 9.957 * [backup-simplify]: Simplify 0 into 0 9.957 * [backup-simplify]: Simplify 1 into 1 9.958 * [backup-simplify]: Simplify (+ 1 0) into 1 9.958 * [backup-simplify]: Simplify (/ 1 1) into 1 9.958 * [backup-simplify]: Simplify (log 1) into 0 9.958 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.959 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.959 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.959 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.959 * [taylor]: Taking taylor expansion of 1/3 in N 9.959 * [backup-simplify]: Simplify 1/3 into 1/3 9.959 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.959 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.959 * [taylor]: Taking taylor expansion of N in N 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 1 into 1 9.959 * [backup-simplify]: Simplify (/ 1 1) into 1 9.959 * [taylor]: Taking taylor expansion of 1.0 in N 9.959 * [backup-simplify]: Simplify 1.0 into 1.0 9.959 * [taylor]: Taking taylor expansion of N in N 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 1 into 1 9.960 * [backup-simplify]: Simplify (+ 1 0) into 1 9.960 * [backup-simplify]: Simplify (/ 1 1) into 1 9.960 * [backup-simplify]: Simplify (log 1) into 0 9.961 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.961 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.961 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.961 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.964 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 9.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.968 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.969 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 9.970 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.970 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.971 * [backup-simplify]: Simplify (+ 0 0) into 0 9.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 9.979 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.980 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 9.983 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 9.983 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 9.984 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 9.984 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 9.984 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 9.985 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.985 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.985 * [taylor]: Taking taylor expansion of -1 in N 9.985 * [backup-simplify]: Simplify -1 into -1 9.985 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.985 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.985 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.985 * [taylor]: Taking taylor expansion of 1/3 in N 9.985 * [backup-simplify]: Simplify 1/3 into 1/3 9.985 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.986 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.986 * [taylor]: Taking taylor expansion of 1.0 in N 9.986 * [backup-simplify]: Simplify 1.0 into 1.0 9.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.986 * [taylor]: Taking taylor expansion of N in N 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (/ 1 1) into 1 9.986 * [taylor]: Taking taylor expansion of N in N 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (- 1) into -1 9.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.987 * [backup-simplify]: Simplify (/ -1 1) into -1 9.987 * [backup-simplify]: Simplify (log -1) into (log -1) 9.988 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.988 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.988 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.988 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.988 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.988 * [taylor]: Taking taylor expansion of -1 in N 9.988 * [backup-simplify]: Simplify -1 into -1 9.989 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.989 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.989 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.989 * [taylor]: Taking taylor expansion of 1/3 in N 9.989 * [backup-simplify]: Simplify 1/3 into 1/3 9.989 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.989 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.989 * [taylor]: Taking taylor expansion of 1.0 in N 9.989 * [backup-simplify]: Simplify 1.0 into 1.0 9.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.989 * [taylor]: Taking taylor expansion of N in N 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (/ 1 1) into 1 9.990 * [taylor]: Taking taylor expansion of N in N 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 1 into 1 9.990 * [backup-simplify]: Simplify (- 1) into -1 9.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.990 * [backup-simplify]: Simplify (/ -1 1) into -1 9.991 * [backup-simplify]: Simplify (log -1) into (log -1) 9.991 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.991 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.992 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.992 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.993 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.994 * [backup-simplify]: Simplify (- 0) into 0 9.994 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.995 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 9.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.000 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.000 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.010 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.011 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.013 * [backup-simplify]: Simplify (- 0) into 0 10.013 * [backup-simplify]: Simplify (+ 0 0) into 0 10.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.026 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.027 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.033 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.037 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.038 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.043 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2 1) 10.043 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.043 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.043 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.043 * [taylor]: Taking taylor expansion of 1/3 in N 10.043 * [backup-simplify]: Simplify 1/3 into 1/3 10.043 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.043 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.043 * [taylor]: Taking taylor expansion of N in N 10.043 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.044 * [taylor]: Taking taylor expansion of N in N 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [taylor]: Taking taylor expansion of 1.0 in N 10.044 * [backup-simplify]: Simplify 1.0 into 1.0 10.044 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.045 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.045 * [backup-simplify]: Simplify (+ 1 0) into 1 10.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.047 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.048 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.049 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.049 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.049 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.049 * [taylor]: Taking taylor expansion of 1/3 in N 10.049 * [backup-simplify]: Simplify 1/3 into 1/3 10.049 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.049 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.050 * [taylor]: Taking taylor expansion of N in N 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify 1 into 1 10.050 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.050 * [taylor]: Taking taylor expansion of N in N 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify 1 into 1 10.050 * [taylor]: Taking taylor expansion of 1.0 in N 10.050 * [backup-simplify]: Simplify 1.0 into 1.0 10.050 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.051 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.051 * [backup-simplify]: Simplify (+ 1 0) into 1 10.053 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.053 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.054 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.055 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.055 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.056 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.056 * [backup-simplify]: Simplify (+ 0 0) into 0 10.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.064 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.065 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.068 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.068 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.069 * [backup-simplify]: Simplify (+ 0 0) into 0 10.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.084 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 10.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.099 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.104 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 10.104 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.104 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.104 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.104 * [taylor]: Taking taylor expansion of 1/3 in N 10.104 * [backup-simplify]: Simplify 1/3 into 1/3 10.104 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.105 * [taylor]: Taking taylor expansion of N in N 10.105 * [backup-simplify]: Simplify 0 into 0 10.105 * [backup-simplify]: Simplify 1 into 1 10.105 * [backup-simplify]: Simplify (/ 1 1) into 1 10.105 * [taylor]: Taking taylor expansion of 1.0 in N 10.105 * [backup-simplify]: Simplify 1.0 into 1.0 10.105 * [taylor]: Taking taylor expansion of N in N 10.105 * [backup-simplify]: Simplify 0 into 0 10.105 * [backup-simplify]: Simplify 1 into 1 10.106 * [backup-simplify]: Simplify (+ 1 0) into 1 10.106 * [backup-simplify]: Simplify (/ 1 1) into 1 10.106 * [backup-simplify]: Simplify (log 1) into 0 10.107 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.107 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.107 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.107 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.107 * [taylor]: Taking taylor expansion of 1/3 in N 10.107 * [backup-simplify]: Simplify 1/3 into 1/3 10.107 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.107 * [taylor]: Taking taylor expansion of N in N 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (/ 1 1) into 1 10.108 * [taylor]: Taking taylor expansion of 1.0 in N 10.108 * [backup-simplify]: Simplify 1.0 into 1.0 10.108 * [taylor]: Taking taylor expansion of N in N 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (+ 1 0) into 1 10.108 * [backup-simplify]: Simplify (/ 1 1) into 1 10.109 * [backup-simplify]: Simplify (log 1) into 0 10.109 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.109 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.109 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.110 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.112 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.119 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.120 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.123 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.123 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.125 * [backup-simplify]: Simplify (+ 0 0) into 0 10.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.136 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.136 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.140 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.140 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.141 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 10.141 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.141 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.141 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.141 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.141 * [taylor]: Taking taylor expansion of -1 in N 10.141 * [backup-simplify]: Simplify -1 into -1 10.141 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.142 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.142 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.142 * [taylor]: Taking taylor expansion of 1/3 in N 10.142 * [backup-simplify]: Simplify 1/3 into 1/3 10.142 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.142 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.142 * [taylor]: Taking taylor expansion of 1.0 in N 10.142 * [backup-simplify]: Simplify 1.0 into 1.0 10.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.142 * [taylor]: Taking taylor expansion of N in N 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 1 into 1 10.142 * [backup-simplify]: Simplify (/ 1 1) into 1 10.142 * [taylor]: Taking taylor expansion of N in N 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 1 into 1 10.143 * [backup-simplify]: Simplify (- 1) into -1 10.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.143 * [backup-simplify]: Simplify (/ -1 1) into -1 10.143 * [backup-simplify]: Simplify (log -1) into (log -1) 10.144 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.144 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.145 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.145 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.145 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.145 * [taylor]: Taking taylor expansion of -1 in N 10.145 * [backup-simplify]: Simplify -1 into -1 10.148 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.149 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.149 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.149 * [taylor]: Taking taylor expansion of 1/3 in N 10.149 * [backup-simplify]: Simplify 1/3 into 1/3 10.149 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.149 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.149 * [taylor]: Taking taylor expansion of 1.0 in N 10.149 * [backup-simplify]: Simplify 1.0 into 1.0 10.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.150 * [taylor]: Taking taylor expansion of N in N 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [backup-simplify]: Simplify 1 into 1 10.150 * [backup-simplify]: Simplify (/ 1 1) into 1 10.150 * [taylor]: Taking taylor expansion of N in N 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [backup-simplify]: Simplify 1 into 1 10.150 * [backup-simplify]: Simplify (- 1) into -1 10.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.151 * [backup-simplify]: Simplify (/ -1 1) into -1 10.151 * [backup-simplify]: Simplify (log -1) into (log -1) 10.152 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.152 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.152 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.153 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.154 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.154 * [backup-simplify]: Simplify (- 0) into 0 10.155 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.156 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.160 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.161 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.164 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.165 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (- 0) into 0 10.166 * [backup-simplify]: Simplify (+ 0 0) into 0 10.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.174 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.175 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.179 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.181 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.182 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.185 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.185 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1 2 1) 10.185 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.185 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.185 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.185 * [taylor]: Taking taylor expansion of 1/3 in N 10.185 * [backup-simplify]: Simplify 1/3 into 1/3 10.185 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.185 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.185 * [taylor]: Taking taylor expansion of N in N 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 1 into 1 10.185 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.185 * [taylor]: Taking taylor expansion of N in N 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 1 into 1 10.185 * [taylor]: Taking taylor expansion of 1.0 in N 10.185 * [backup-simplify]: Simplify 1.0 into 1.0 10.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.186 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.186 * [backup-simplify]: Simplify (+ 1 0) into 1 10.187 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.187 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.188 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.188 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.189 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.189 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.189 * [taylor]: Taking taylor expansion of 1/3 in N 10.189 * [backup-simplify]: Simplify 1/3 into 1/3 10.189 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.189 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.189 * [taylor]: Taking taylor expansion of N in N 10.189 * [backup-simplify]: Simplify 0 into 0 10.189 * [backup-simplify]: Simplify 1 into 1 10.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.189 * [taylor]: Taking taylor expansion of N in N 10.189 * [backup-simplify]: Simplify 0 into 0 10.189 * [backup-simplify]: Simplify 1 into 1 10.189 * [taylor]: Taking taylor expansion of 1.0 in N 10.189 * [backup-simplify]: Simplify 1.0 into 1.0 10.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.189 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.190 * [backup-simplify]: Simplify (+ 1 0) into 1 10.191 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.191 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.192 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.193 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.194 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.195 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.195 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.201 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.201 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.203 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.203 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.204 * [backup-simplify]: Simplify (+ 0 0) into 0 10.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.211 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.212 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 10.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.224 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 10.224 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.224 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.224 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.224 * [taylor]: Taking taylor expansion of 1/3 in N 10.224 * [backup-simplify]: Simplify 1/3 into 1/3 10.224 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.225 * [taylor]: Taking taylor expansion of N in N 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [backup-simplify]: Simplify (/ 1 1) into 1 10.225 * [taylor]: Taking taylor expansion of 1.0 in N 10.225 * [backup-simplify]: Simplify 1.0 into 1.0 10.225 * [taylor]: Taking taylor expansion of N in N 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [backup-simplify]: Simplify (+ 1 0) into 1 10.225 * [backup-simplify]: Simplify (/ 1 1) into 1 10.226 * [backup-simplify]: Simplify (log 1) into 0 10.226 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.226 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.226 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.226 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.226 * [taylor]: Taking taylor expansion of 1/3 in N 10.226 * [backup-simplify]: Simplify 1/3 into 1/3 10.226 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.226 * [taylor]: Taking taylor expansion of N in N 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (/ 1 1) into 1 10.227 * [taylor]: Taking taylor expansion of 1.0 in N 10.227 * [backup-simplify]: Simplify 1.0 into 1.0 10.227 * [taylor]: Taking taylor expansion of N in N 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (+ 1 0) into 1 10.227 * [backup-simplify]: Simplify (/ 1 1) into 1 10.227 * [backup-simplify]: Simplify (log 1) into 0 10.228 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.228 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.228 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.228 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.230 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.236 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.237 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.239 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.239 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.241 * [backup-simplify]: Simplify (+ 0 0) into 0 10.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.256 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.256 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.260 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.260 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.262 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 10.262 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.262 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.262 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.262 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.262 * [taylor]: Taking taylor expansion of -1 in N 10.262 * [backup-simplify]: Simplify -1 into -1 10.262 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.263 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.263 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.263 * [taylor]: Taking taylor expansion of 1/3 in N 10.263 * [backup-simplify]: Simplify 1/3 into 1/3 10.263 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.263 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.263 * [taylor]: Taking taylor expansion of 1.0 in N 10.263 * [backup-simplify]: Simplify 1.0 into 1.0 10.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.263 * [taylor]: Taking taylor expansion of N in N 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.263 * [backup-simplify]: Simplify (/ 1 1) into 1 10.263 * [taylor]: Taking taylor expansion of N in N 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (- 1) into -1 10.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.264 * [backup-simplify]: Simplify (/ -1 1) into -1 10.264 * [backup-simplify]: Simplify (log -1) into (log -1) 10.265 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.265 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.266 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.266 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.266 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.266 * [taylor]: Taking taylor expansion of -1 in N 10.266 * [backup-simplify]: Simplify -1 into -1 10.266 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.266 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.266 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.266 * [taylor]: Taking taylor expansion of 1/3 in N 10.267 * [backup-simplify]: Simplify 1/3 into 1/3 10.267 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.267 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.267 * [taylor]: Taking taylor expansion of 1.0 in N 10.267 * [backup-simplify]: Simplify 1.0 into 1.0 10.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.267 * [taylor]: Taking taylor expansion of N in N 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 1 into 1 10.267 * [backup-simplify]: Simplify (/ 1 1) into 1 10.267 * [taylor]: Taking taylor expansion of N in N 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 1 into 1 10.267 * [backup-simplify]: Simplify (- 1) into -1 10.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.268 * [backup-simplify]: Simplify (/ -1 1) into -1 10.268 * [backup-simplify]: Simplify (log -1) into (log -1) 10.269 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.269 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.269 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.270 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.270 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.271 * [backup-simplify]: Simplify (- 0) into 0 10.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.273 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.278 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.279 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.283 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.284 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.285 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.287 * [backup-simplify]: Simplify (- 0) into 0 10.287 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.301 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.303 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.314 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.315 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.319 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 1 1) 10.319 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.319 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.319 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.320 * [taylor]: Taking taylor expansion of 1/3 in N 10.320 * [backup-simplify]: Simplify 1/3 into 1/3 10.320 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.320 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.320 * [taylor]: Taking taylor expansion of N in N 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 1 into 1 10.320 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.320 * [taylor]: Taking taylor expansion of N in N 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 1 into 1 10.320 * [taylor]: Taking taylor expansion of 1.0 in N 10.320 * [backup-simplify]: Simplify 1.0 into 1.0 10.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.320 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.321 * [backup-simplify]: Simplify (+ 1 0) into 1 10.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.322 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.322 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.322 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.323 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.323 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.323 * [taylor]: Taking taylor expansion of 1/3 in N 10.323 * [backup-simplify]: Simplify 1/3 into 1/3 10.323 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.323 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.323 * [taylor]: Taking taylor expansion of N in N 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify 1 into 1 10.323 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.323 * [taylor]: Taking taylor expansion of N in N 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify 1 into 1 10.323 * [taylor]: Taking taylor expansion of 1.0 in N 10.323 * [backup-simplify]: Simplify 1.0 into 1.0 10.323 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.324 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.324 * [backup-simplify]: Simplify (+ 1 0) into 1 10.325 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.325 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.325 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.326 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.326 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.326 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.327 * [backup-simplify]: Simplify (+ 0 0) into 0 10.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.331 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.331 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.333 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.334 * [backup-simplify]: Simplify (+ 0 0) into 0 10.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.340 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.342 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 10.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.362 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 10.362 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.362 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.362 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.362 * [taylor]: Taking taylor expansion of 1/3 in N 10.362 * [backup-simplify]: Simplify 1/3 into 1/3 10.362 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.363 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.363 * [taylor]: Taking taylor expansion of N in N 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 1 into 1 10.363 * [backup-simplify]: Simplify (/ 1 1) into 1 10.363 * [taylor]: Taking taylor expansion of 1.0 in N 10.363 * [backup-simplify]: Simplify 1.0 into 1.0 10.363 * [taylor]: Taking taylor expansion of N in N 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 1 into 1 10.368 * [backup-simplify]: Simplify (+ 1 0) into 1 10.369 * [backup-simplify]: Simplify (/ 1 1) into 1 10.369 * [backup-simplify]: Simplify (log 1) into 0 10.369 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.370 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.370 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.370 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.370 * [taylor]: Taking taylor expansion of 1/3 in N 10.370 * [backup-simplify]: Simplify 1/3 into 1/3 10.370 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.370 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.370 * [taylor]: Taking taylor expansion of N in N 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 1 into 1 10.370 * [backup-simplify]: Simplify (/ 1 1) into 1 10.370 * [taylor]: Taking taylor expansion of 1.0 in N 10.370 * [backup-simplify]: Simplify 1.0 into 1.0 10.370 * [taylor]: Taking taylor expansion of N in N 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 1 into 1 10.371 * [backup-simplify]: Simplify (+ 1 0) into 1 10.371 * [backup-simplify]: Simplify (/ 1 1) into 1 10.371 * [backup-simplify]: Simplify (log 1) into 0 10.371 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.371 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.371 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.372 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.372 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.373 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.377 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.378 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.379 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.380 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.380 * [backup-simplify]: Simplify (+ 0 0) into 0 10.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.388 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.388 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.392 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.392 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.392 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 10.393 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.393 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.393 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.393 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.393 * [taylor]: Taking taylor expansion of -1 in N 10.393 * [backup-simplify]: Simplify -1 into -1 10.393 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.393 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.393 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.393 * [taylor]: Taking taylor expansion of 1/3 in N 10.393 * [backup-simplify]: Simplify 1/3 into 1/3 10.394 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.394 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.394 * [taylor]: Taking taylor expansion of 1.0 in N 10.394 * [backup-simplify]: Simplify 1.0 into 1.0 10.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.394 * [taylor]: Taking taylor expansion of N in N 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [backup-simplify]: Simplify (/ 1 1) into 1 10.394 * [taylor]: Taking taylor expansion of N in N 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [backup-simplify]: Simplify (- 1) into -1 10.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.395 * [backup-simplify]: Simplify (/ -1 1) into -1 10.395 * [backup-simplify]: Simplify (log -1) into (log -1) 10.395 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.396 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.396 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.396 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.396 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.396 * [taylor]: Taking taylor expansion of -1 in N 10.396 * [backup-simplify]: Simplify -1 into -1 10.396 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.397 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.397 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.397 * [taylor]: Taking taylor expansion of 1/3 in N 10.397 * [backup-simplify]: Simplify 1/3 into 1/3 10.397 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.397 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.397 * [taylor]: Taking taylor expansion of 1.0 in N 10.397 * [backup-simplify]: Simplify 1.0 into 1.0 10.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.397 * [taylor]: Taking taylor expansion of N in N 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [backup-simplify]: Simplify (/ 1 1) into 1 10.397 * [taylor]: Taking taylor expansion of N in N 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.398 * [backup-simplify]: Simplify (- 1) into -1 10.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.398 * [backup-simplify]: Simplify (/ -1 1) into -1 10.398 * [backup-simplify]: Simplify (log -1) into (log -1) 10.399 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.399 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.400 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.401 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.402 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.403 * [backup-simplify]: Simplify (- 0) into 0 10.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.406 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.413 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.414 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.420 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.421 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.423 * [backup-simplify]: Simplify (- 0) into 0 10.423 * [backup-simplify]: Simplify (+ 0 0) into 0 10.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.438 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.439 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.446 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.450 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.451 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.455 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.455 * * * [progress]: simplifying candidates 10.457 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.460 * * [simplify]: Extracting # 0 : cost 0 10.460 * * [simplify]: Extracting # 1 : cost 0 10.460 * * [simplify]: Extracting # 2 : cost 0 10.460 * * [simplify]: Extracting # 3 : cost 0 10.461 * * [simplify]: Extracting # 4 : cost 0 10.461 * * [simplify]: Extracting # 5 : cost 0 10.461 * * [simplify]: Extracting # 6 : cost 0 10.461 * * [simplify]: Extracting # 7 : cost 0 10.461 * * [simplify]: Extracting # 8 : cost 0 10.462 * * [simplify]: Extracting # 9 : cost 0 10.462 * * [simplify]: Extracting # 10 : cost 0 10.462 * * [simplify]: Extracting # 11 : cost 0 10.462 * * [simplify]: Extracting # 12 : cost 0 10.462 * * [simplify]: iteration 0 : 82 enodes (cost 988 ) 10.507 * * [simplify]: Extracting # 0 : cost 0 10.508 * * [simplify]: Extracting # 1 : cost 0 10.508 * * [simplify]: Extracting # 2 : cost 0 10.508 * * [simplify]: Extracting # 3 : cost 0 10.508 * * [simplify]: Extracting # 4 : cost 0 10.508 * * [simplify]: iteration 1 : 192 enodes (cost 972 ) 10.565 * * [simplify]: Extracting # 0 : cost 0 10.565 * * [simplify]: Extracting # 1 : cost 0 10.566 * * [simplify]: Extracting # 2 : cost 0 10.566 * * [simplify]: Extracting # 3 : cost 0 10.567 * * [simplify]: Extracting # 4 : cost 0 10.568 * * [simplify]: iteration 2 : 460 enodes (cost 924 ) 10.740 * * [simplify]: Extracting # 0 : cost 0 10.741 * * [simplify]: Extracting # 1 : cost 0 10.743 * * [simplify]: Extracting # 2 : cost 0 10.744 * * [simplify]: Extracting # 3 : cost 0 10.745 * * [simplify]: Extracting # 4 : cost 0 10.747 * * [simplify]: iteration 3 : 1259 enodes (cost 784 ) 11.849 * * [simplify]: Extracting # 0 : cost 0 11.855 * * [simplify]: Extracting # 1 : cost 0 11.865 * * [simplify]: Extracting # 2 : cost 0 11.872 * * [simplify]: Extracting # 3 : cost 0 11.880 * * [simplify]: Extracting # 4 : cost 0 11.885 * * [simplify]: iteration 4 : 4444 enodes (cost 696 ) 13.679 * * [simplify]: Extracting # 0 : cost 0 13.685 * * [simplify]: Extracting # 1 : cost 0 13.691 * * [simplify]: Extracting # 2 : cost 0 13.696 * * [simplify]: iteration done: 5000 enodes (cost 696 ) 13.697 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) 13.697 * * * [progress]: adding candidates to table 13.964 * [progress]: [Phase 3 of 3] Extracting. 13.964 * * [regime]: Finding splitpoints for: (# # # # # # #) 13.966 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.966 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 13.996 * * * [regime]: Found split indices: #