20.665 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: Extracting # 3 : cost 0 0.030 * * [simplify]: Extracting # 4 : cost 0 0.030 * * [simplify]: Extracting # 5 : cost 0 0.030 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.033 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [backup-simplify]: Simplify (atan N) into (atan N) 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [backup-simplify]: Simplify (atan N) into (atan N) 0.048 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.048 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.049 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.052 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.053 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.053 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.053 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.056 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.056 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.057 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.057 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.057 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.060 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.060 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.061 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.061 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.061 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.061 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.061 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.062 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.063 * * [simplify]: Extracting # 2 : cost 0 0.063 * * [simplify]: Extracting # 3 : cost 0 0.063 * * [simplify]: Extracting # 4 : cost 0 0.063 * * [simplify]: Extracting # 5 : cost 0 0.063 * * [simplify]: Extracting # 6 : cost 0 0.063 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: Extracting # 3 : cost 0 0.071 * * [simplify]: Extracting # 4 : cost 0 0.071 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.083 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: Extracting # 3 : cost 0 0.084 * * [simplify]: iteration 2 : 145 enodes (cost 245 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: Extracting # 1 : cost 0 0.114 * * [simplify]: Extracting # 2 : cost 0 0.114 * * [simplify]: Extracting # 3 : cost 0 0.115 * * [simplify]: iteration 3 : 270 enodes (cost 241 ) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.177 * * [simplify]: Extracting # 1 : cost 0 0.177 * * [simplify]: Extracting # 2 : cost 0 0.178 * * [simplify]: Extracting # 3 : cost 0 0.178 * * [simplify]: Extracting # 4 : cost 0 0.178 * * [simplify]: iteration 4 : 534 enodes (cost 239 ) 0.360 * * [simplify]: Extracting # 0 : cost 0 0.362 * * [simplify]: Extracting # 1 : cost 0 0.363 * * [simplify]: Extracting # 2 : cost 0 0.364 * * [simplify]: Extracting # 3 : cost 0 0.365 * * [simplify]: Extracting # 4 : cost 0 0.366 * * [simplify]: iteration 5 : 1497 enodes (cost 239 ) 1.198 * * [simplify]: Extracting # 0 : cost 0 1.203 * * [simplify]: Extracting # 1 : cost 0 1.208 * * [simplify]: Extracting # 2 : cost 0 1.212 * * [simplify]: Extracting # 3 : cost 0 1.217 * * [simplify]: Extracting # 4 : cost 0 1.221 * * [simplify]: iteration done: 5000 enodes (cost 239 ) 1.221 * [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 1.0)) (atan N)) (atan (+ N 1.0))) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 1.222 * * * [progress]: adding candidates to table 1.271 * * [progress]: iteration 2 / 4 1.271 * * * [progress]: picking best candidate 1.272 * * * * [pick]: Picked # 1.272 * * * [progress]: localizing error 1.278 * * * [progress]: generating rewritten candidates 1.278 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.279 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.301 * * * [progress]: generating series expansions 1.301 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.301 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.301 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.301 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.301 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.301 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.302 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.302 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.302 * [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))) 1.302 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.302 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.302 * [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))) 1.302 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.302 * [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))) 1.303 * [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))) 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [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))) 1.303 * [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)))) 1.303 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.303 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.303 * [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)))) 1.303 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.304 * [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)))) 1.304 * [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)))) 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [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))) 1.304 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.304 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 1.304 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 1.304 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.304 * [taylor]: Taking taylor expansion of N in N 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.304 * [taylor]: Taking taylor expansion of N in N 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [taylor]: Taking taylor expansion of 1.0 in N 1.304 * [backup-simplify]: Simplify 1.0 into 1.0 1.304 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.304 * [taylor]: Taking taylor expansion of N in N 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [taylor]: Taking taylor expansion of 1.0 in N 1.305 * [backup-simplify]: Simplify 1.0 into 1.0 1.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.306 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (+ 1 0) into 1 1.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.307 * [backup-simplify]: Simplify 1.0 into 1.0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 1.315 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 1.315 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 1.315 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.315 * [taylor]: Taking taylor expansion of N in N 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (/ 1 1) into 1 1.315 * [taylor]: Taking taylor expansion of 1.0 in N 1.315 * [backup-simplify]: Simplify 1.0 into 1.0 1.315 * [taylor]: Taking taylor expansion of N in N 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (+ 1 0) into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.316 * [taylor]: Taking taylor expansion of N in N 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [taylor]: Taking taylor expansion of 1.0 in N 1.316 * [backup-simplify]: Simplify 1.0 into 1.0 1.316 * [taylor]: Taking taylor expansion of N in N 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (+ 1 0) into 1 1.317 * [backup-simplify]: Simplify (/ 1 1) into 1 1.317 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.319 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 1.319 * [backup-simplify]: Simplify 1.0 into 1.0 1.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [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 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [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 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 1.327 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 1.327 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 1.327 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 1.327 * [taylor]: Taking taylor expansion of -1 in N 1.327 * [backup-simplify]: Simplify -1 into -1 1.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.327 * [taylor]: Taking taylor expansion of 1.0 in N 1.328 * [backup-simplify]: Simplify 1.0 into 1.0 1.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.328 * [taylor]: Taking taylor expansion of N in N 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of N in N 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (- 1) into -1 1.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.329 * [backup-simplify]: Simplify (/ -1 1) into -1 1.329 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 1.329 * [taylor]: Taking taylor expansion of -1 in N 1.329 * [backup-simplify]: Simplify -1 into -1 1.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.329 * [taylor]: Taking taylor expansion of 1.0 in N 1.329 * [backup-simplify]: Simplify 1.0 into 1.0 1.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.329 * [taylor]: Taking taylor expansion of N in N 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [taylor]: Taking taylor expansion of N in N 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (- 1) into -1 1.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.330 * [backup-simplify]: Simplify (/ -1 1) into -1 1.330 * [backup-simplify]: Simplify (* -1 -1) into 1 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.332 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 1.333 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 1.333 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [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 1.345 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [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 1.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 1.348 * * * [progress]: simplifying candidates 1.349 * [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)) 1.349 * * [simplify]: Extracting # 0 : cost 0 1.349 * * [simplify]: Extracting # 1 : cost 0 1.349 * * [simplify]: Extracting # 2 : cost 0 1.349 * * [simplify]: Extracting # 3 : cost 0 1.349 * * [simplify]: Extracting # 4 : cost 0 1.349 * * [simplify]: Extracting # 5 : cost 0 1.349 * * [simplify]: Extracting # 6 : cost 0 1.350 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 1.360 * * [simplify]: Extracting # 0 : cost 0 1.360 * * [simplify]: Extracting # 1 : cost 0 1.360 * * [simplify]: Extracting # 2 : cost 0 1.360 * * [simplify]: Extracting # 3 : cost 0 1.360 * * [simplify]: Extracting # 4 : cost 0 1.361 * * [simplify]: iteration 1 : 120 enodes (cost 312 ) 1.403 * * [simplify]: Extracting # 0 : cost 0 1.403 * * [simplify]: Extracting # 1 : cost 0 1.404 * * [simplify]: Extracting # 2 : cost 0 1.404 * * [simplify]: Extracting # 3 : cost 0 1.404 * * [simplify]: Extracting # 4 : cost 0 1.404 * * [simplify]: iteration 2 : 356 enodes (cost 264 ) 1.746 * * [simplify]: Extracting # 0 : cost 0 1.747 * * [simplify]: Extracting # 1 : cost 0 1.748 * * [simplify]: Extracting # 2 : cost 0 1.749 * * [simplify]: Extracting # 3 : cost 0 1.749 * * [simplify]: Extracting # 4 : cost 0 1.750 * * [simplify]: iteration 3 : 1001 enodes (cost 264 ) 3.131 * * [simplify]: Extracting # 0 : cost 0 3.134 * * [simplify]: Extracting # 1 : cost 0 3.136 * * [simplify]: Extracting # 2 : cost 0 3.139 * * [simplify]: Extracting # 3 : cost 0 3.141 * * [simplify]: Extracting # 4 : cost 0 3.144 * * [simplify]: iteration 4 : 4336 enodes (cost 264 ) 4.212 * * [simplify]: Extracting # 0 : cost 0 4.221 * * [simplify]: Extracting # 1 : cost 0 4.225 * * [simplify]: Extracting # 2 : cost 0 4.228 * * [simplify]: Extracting # 3 : cost 0 4.231 * * [simplify]: Extracting # 4 : cost 0 4.234 * * [simplify]: iteration done: 5002 enodes (cost 264 ) 4.234 * [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) 4.234 * * * [progress]: adding candidates to table 4.286 * * [progress]: iteration 3 / 4 4.286 * * * [progress]: picking best candidate 4.291 * * * * [pick]: Picked # 4.291 * * * [progress]: localizing error 4.301 * * * [progress]: generating rewritten candidates 4.301 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.315 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.345 * * * [progress]: generating series expansions 4.345 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.345 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.345 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.345 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.345 * [taylor]: Taking taylor expansion of 1/3 in N 4.345 * [backup-simplify]: Simplify 1/3 into 1/3 4.345 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.345 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.345 * [taylor]: Taking taylor expansion of N in N 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.345 * [taylor]: Taking taylor expansion of N in N 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of 1.0 in N 4.345 * [backup-simplify]: Simplify 1.0 into 1.0 4.346 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.346 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.346 * [backup-simplify]: Simplify (+ 1 0) into 1 4.347 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.348 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.348 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.349 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.349 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.349 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.349 * [taylor]: Taking taylor expansion of 1/3 in N 4.349 * [backup-simplify]: Simplify 1/3 into 1/3 4.349 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.349 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.349 * [taylor]: Taking taylor expansion of N in N 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.349 * [taylor]: Taking taylor expansion of N in N 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [taylor]: Taking taylor expansion of 1.0 in N 4.349 * [backup-simplify]: Simplify 1.0 into 1.0 4.349 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.350 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.350 * [backup-simplify]: Simplify (+ 1 0) into 1 4.351 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.351 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.351 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.352 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.352 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.352 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.353 * [backup-simplify]: Simplify (+ 0 0) into 0 4.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.356 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.357 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.359 * [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))))) 4.359 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.365 * [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)) 4.366 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.367 * [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)))) 4.373 * [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))))) 4.375 * [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))))) 4.378 * [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)))) 4.378 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.378 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.378 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.378 * [taylor]: Taking taylor expansion of 1/3 in N 4.378 * [backup-simplify]: Simplify 1/3 into 1/3 4.378 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.378 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.379 * [taylor]: Taking taylor expansion of N in N 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [taylor]: Taking taylor expansion of 1.0 in N 4.379 * [backup-simplify]: Simplify 1.0 into 1.0 4.379 * [taylor]: Taking taylor expansion of N in N 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (+ 1 0) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [backup-simplify]: Simplify (log 1) into 0 4.380 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.380 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.380 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.380 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.380 * [taylor]: Taking taylor expansion of 1/3 in N 4.380 * [backup-simplify]: Simplify 1/3 into 1/3 4.380 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.380 * [taylor]: Taking taylor expansion of N in N 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [taylor]: Taking taylor expansion of 1.0 in N 4.380 * [backup-simplify]: Simplify 1.0 into 1.0 4.381 * [taylor]: Taking taylor expansion of N in N 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (+ 1 0) into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.381 * [backup-simplify]: Simplify (log 1) into 0 4.381 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.382 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.382 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.382 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.384 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.387 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.388 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.389 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.389 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.396 * [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 4.397 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.397 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.404 * [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)) 4.404 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.404 * [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))) 4.404 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.405 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.405 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.405 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.405 * [taylor]: Taking taylor expansion of -1 in N 4.405 * [backup-simplify]: Simplify -1 into -1 4.405 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.405 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.405 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.405 * [taylor]: Taking taylor expansion of 1/3 in N 4.405 * [backup-simplify]: Simplify 1/3 into 1/3 4.405 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.405 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.405 * [taylor]: Taking taylor expansion of 1.0 in N 4.405 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.406 * [taylor]: Taking taylor expansion of N in N 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (/ 1 1) into 1 4.406 * [taylor]: Taking taylor expansion of N in N 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (- 1) into -1 4.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.406 * [backup-simplify]: Simplify (/ -1 1) into -1 4.407 * [backup-simplify]: Simplify (log -1) into (log -1) 4.407 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.407 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.408 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.408 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.408 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.408 * [taylor]: Taking taylor expansion of -1 in N 4.408 * [backup-simplify]: Simplify -1 into -1 4.408 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.409 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.409 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.409 * [taylor]: Taking taylor expansion of 1/3 in N 4.409 * [backup-simplify]: Simplify 1/3 into 1/3 4.409 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.409 * [taylor]: Taking taylor expansion of 1.0 in N 4.409 * [backup-simplify]: Simplify 1.0 into 1.0 4.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.409 * [taylor]: Taking taylor expansion of N in N 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (/ 1 1) into 1 4.409 * [taylor]: Taking taylor expansion of N in N 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (- 1) into -1 4.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.410 * [backup-simplify]: Simplify (/ -1 1) into -1 4.410 * [backup-simplify]: Simplify (log -1) into (log -1) 4.410 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.411 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.411 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.412 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.412 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- 0) into 0 4.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.414 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.419 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.419 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.421 * [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)))))) 4.422 * [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)))))))) 4.423 * [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)))))))) 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.424 * [backup-simplify]: Simplify (- 0) into 0 4.424 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.430 * [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 4.431 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.431 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.435 * [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)))))) 4.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.437 * [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)))))))) 4.438 * [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)))))))) 4.440 * [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)))) 4.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.440 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.440 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.440 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.440 * [taylor]: Taking taylor expansion of 1/3 in N 4.440 * [backup-simplify]: Simplify 1/3 into 1/3 4.440 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.440 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.441 * [taylor]: Taking taylor expansion of N in N 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.441 * [taylor]: Taking taylor expansion of N in N 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [taylor]: Taking taylor expansion of 1.0 in N 4.441 * [backup-simplify]: Simplify 1.0 into 1.0 4.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.441 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.441 * [backup-simplify]: Simplify (+ 1 0) into 1 4.442 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.442 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.443 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.443 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.443 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.444 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.444 * [taylor]: Taking taylor expansion of 1/3 in N 4.444 * [backup-simplify]: Simplify 1/3 into 1/3 4.444 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.444 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.444 * [taylor]: Taking taylor expansion of N in N 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.444 * [taylor]: Taking taylor expansion of N in N 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [taylor]: Taking taylor expansion of 1.0 in N 4.444 * [backup-simplify]: Simplify 1.0 into 1.0 4.444 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.444 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.444 * [backup-simplify]: Simplify (+ 1 0) into 1 4.445 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.446 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.446 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.446 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.447 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.447 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.447 * [backup-simplify]: Simplify (+ 0 0) into 0 4.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.451 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.452 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.453 * [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))))) 4.454 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.454 * [backup-simplify]: Simplify (+ 0 0) into 0 4.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.460 * [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)) 4.460 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.462 * [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)))) 4.468 * [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))))) 4.470 * [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))))) 4.472 * [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)))) 4.472 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.472 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.472 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.473 * [taylor]: Taking taylor expansion of 1/3 in N 4.473 * [backup-simplify]: Simplify 1/3 into 1/3 4.473 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.473 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.473 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.473 * [taylor]: Taking taylor expansion of N in N 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (/ 1 1) into 1 4.473 * [taylor]: Taking taylor expansion of 1.0 in N 4.473 * [backup-simplify]: Simplify 1.0 into 1.0 4.473 * [taylor]: Taking taylor expansion of N in N 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (+ 1 0) into 1 4.473 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [backup-simplify]: Simplify (log 1) into 0 4.474 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.474 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.474 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.474 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.474 * [taylor]: Taking taylor expansion of 1/3 in N 4.474 * [backup-simplify]: Simplify 1/3 into 1/3 4.474 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.474 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.474 * [taylor]: Taking taylor expansion of N in N 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [taylor]: Taking taylor expansion of 1.0 in N 4.475 * [backup-simplify]: Simplify 1.0 into 1.0 4.475 * [taylor]: Taking taylor expansion of N in N 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (+ 1 0) into 1 4.475 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [backup-simplify]: Simplify (log 1) into 0 4.476 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.476 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.476 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.476 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.478 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.481 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.482 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.483 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.483 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.484 * [backup-simplify]: Simplify (+ 0 0) into 0 4.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.493 * [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 4.493 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.494 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.497 * [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)) 4.497 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.497 * [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))) 4.498 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.498 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.498 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.498 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.498 * [taylor]: Taking taylor expansion of -1 in N 4.498 * [backup-simplify]: Simplify -1 into -1 4.498 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.499 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.499 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.499 * [taylor]: Taking taylor expansion of 1/3 in N 4.499 * [backup-simplify]: Simplify 1/3 into 1/3 4.499 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.499 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.499 * [taylor]: Taking taylor expansion of 1.0 in N 4.499 * [backup-simplify]: Simplify 1.0 into 1.0 4.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.499 * [taylor]: Taking taylor expansion of N in N 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (/ 1 1) into 1 4.499 * [taylor]: Taking taylor expansion of N in N 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (- 1) into -1 4.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.500 * [backup-simplify]: Simplify (/ -1 1) into -1 4.500 * [backup-simplify]: Simplify (log -1) into (log -1) 4.501 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.501 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.501 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.501 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.501 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.501 * [taylor]: Taking taylor expansion of -1 in N 4.501 * [backup-simplify]: Simplify -1 into -1 4.501 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.502 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.502 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.502 * [taylor]: Taking taylor expansion of 1/3 in N 4.502 * [backup-simplify]: Simplify 1/3 into 1/3 4.502 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.502 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.502 * [taylor]: Taking taylor expansion of 1.0 in N 4.502 * [backup-simplify]: Simplify 1.0 into 1.0 4.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.502 * [taylor]: Taking taylor expansion of N in N 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [backup-simplify]: Simplify (/ 1 1) into 1 4.502 * [taylor]: Taking taylor expansion of N in N 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (- 1) into -1 4.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.503 * [backup-simplify]: Simplify (/ -1 1) into -1 4.503 * [backup-simplify]: Simplify (log -1) into (log -1) 4.504 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.504 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.504 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.505 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.506 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.506 * [backup-simplify]: Simplify (- 0) into 0 4.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.508 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.512 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.512 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.514 * [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)))))) 4.515 * [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)))))))) 4.516 * [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)))))))) 4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (- 0) into 0 4.517 * [backup-simplify]: Simplify (+ 0 0) into 0 4.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.523 * [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 4.524 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.524 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.528 * [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)))))) 4.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.530 * [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)))))))) 4.531 * [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)))))))) 4.533 * [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)))) 4.533 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 4.533 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.533 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.533 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.533 * [taylor]: Taking taylor expansion of 1/3 in N 4.533 * [backup-simplify]: Simplify 1/3 into 1/3 4.533 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.533 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.533 * [taylor]: Taking taylor expansion of N in N 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.533 * [taylor]: Taking taylor expansion of N in N 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [taylor]: Taking taylor expansion of 1.0 in N 4.533 * [backup-simplify]: Simplify 1.0 into 1.0 4.534 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.534 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.534 * [backup-simplify]: Simplify (+ 1 0) into 1 4.535 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.535 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.536 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.536 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.536 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.536 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.536 * [taylor]: Taking taylor expansion of 1/3 in N 4.536 * [backup-simplify]: Simplify 1/3 into 1/3 4.536 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.536 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.536 * [taylor]: Taking taylor expansion of N in N 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.536 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.536 * [taylor]: Taking taylor expansion of N in N 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 1 into 1 4.537 * [taylor]: Taking taylor expansion of 1.0 in N 4.537 * [backup-simplify]: Simplify 1.0 into 1.0 4.537 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.537 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.537 * [backup-simplify]: Simplify (+ 1 0) into 1 4.538 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.538 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.539 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.539 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.539 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.540 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.544 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.544 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.546 * [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))))) 4.546 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.546 * [backup-simplify]: Simplify (+ 0 0) into 0 4.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.553 * [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)) 4.553 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.555 * [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)))) 4.561 * [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))))) 4.563 * [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))))) 4.565 * [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)))) 4.565 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.566 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.566 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.566 * [taylor]: Taking taylor expansion of 1/3 in N 4.566 * [backup-simplify]: Simplify 1/3 into 1/3 4.566 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.566 * [taylor]: Taking taylor expansion of N in N 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (/ 1 1) into 1 4.566 * [taylor]: Taking taylor expansion of 1.0 in N 4.566 * [backup-simplify]: Simplify 1.0 into 1.0 4.566 * [taylor]: Taking taylor expansion of N in N 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (+ 1 0) into 1 4.566 * [backup-simplify]: Simplify (/ 1 1) into 1 4.567 * [backup-simplify]: Simplify (log 1) into 0 4.567 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.567 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.567 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.567 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.567 * [taylor]: Taking taylor expansion of 1/3 in N 4.567 * [backup-simplify]: Simplify 1/3 into 1/3 4.567 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.567 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.567 * [taylor]: Taking taylor expansion of N in N 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (/ 1 1) into 1 4.568 * [taylor]: Taking taylor expansion of 1.0 in N 4.568 * [backup-simplify]: Simplify 1.0 into 1.0 4.568 * [taylor]: Taking taylor expansion of N in N 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (+ 1 0) into 1 4.568 * [backup-simplify]: Simplify (/ 1 1) into 1 4.568 * [backup-simplify]: Simplify (log 1) into 0 4.569 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.569 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.569 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.569 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.571 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.575 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.575 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.582 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.582 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify (+ 0 0) into 0 4.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.589 * [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 4.590 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.590 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.593 * [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)) 4.593 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.594 * [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))) 4.594 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.594 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.594 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.594 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.594 * [taylor]: Taking taylor expansion of -1 in N 4.594 * [backup-simplify]: Simplify -1 into -1 4.594 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.595 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.595 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.595 * [taylor]: Taking taylor expansion of 1/3 in N 4.595 * [backup-simplify]: Simplify 1/3 into 1/3 4.595 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.595 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.595 * [taylor]: Taking taylor expansion of 1.0 in N 4.595 * [backup-simplify]: Simplify 1.0 into 1.0 4.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.595 * [taylor]: Taking taylor expansion of N in N 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (/ 1 1) into 1 4.595 * [taylor]: Taking taylor expansion of N in N 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (- 1) into -1 4.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.596 * [backup-simplify]: Simplify (/ -1 1) into -1 4.596 * [backup-simplify]: Simplify (log -1) into (log -1) 4.597 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.597 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.597 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.597 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.597 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.597 * [taylor]: Taking taylor expansion of -1 in N 4.597 * [backup-simplify]: Simplify -1 into -1 4.598 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.598 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.598 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.598 * [taylor]: Taking taylor expansion of 1/3 in N 4.598 * [backup-simplify]: Simplify 1/3 into 1/3 4.598 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.598 * [taylor]: Taking taylor expansion of 1.0 in N 4.598 * [backup-simplify]: Simplify 1.0 into 1.0 4.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.598 * [taylor]: Taking taylor expansion of N in N 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ 1 1) into 1 4.598 * [taylor]: Taking taylor expansion of N in N 4.598 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (- 1) into -1 4.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.599 * [backup-simplify]: Simplify (/ -1 1) into -1 4.600 * [backup-simplify]: Simplify (log -1) into (log -1) 4.600 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.600 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.601 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.601 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.602 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- 0) into 0 4.603 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.604 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.608 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.609 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.611 * [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)))))) 4.612 * [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)))))))) 4.612 * [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)))))))) 4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify (- 0) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.620 * [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 4.620 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.621 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.625 * [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)))))) 4.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.627 * [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)))))))) 4.628 * [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)))))))) 4.630 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.630 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.630 * [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) 4.630 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 4.630 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.630 * [taylor]: Taking taylor expansion of 1/3 in N 4.630 * [backup-simplify]: Simplify 1/3 into 1/3 4.630 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.630 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.630 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.630 * [taylor]: Taking taylor expansion of N in N 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.631 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.631 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.631 * [taylor]: Taking taylor expansion of N in N 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [taylor]: Taking taylor expansion of 1.0 in N 4.631 * [backup-simplify]: Simplify 1.0 into 1.0 4.631 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.631 * [backup-simplify]: Simplify (* 1 1) into 1 4.631 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.632 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.632 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.632 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.633 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.633 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.633 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.633 * [taylor]: Taking taylor expansion of 1/3 in N 4.633 * [backup-simplify]: Simplify 1/3 into 1/3 4.633 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.633 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.633 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.633 * [taylor]: Taking taylor expansion of N in N 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify 1 into 1 4.633 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.633 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.633 * [taylor]: Taking taylor expansion of N in N 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify 1 into 1 4.633 * [taylor]: Taking taylor expansion of 1.0 in N 4.633 * [backup-simplify]: Simplify 1.0 into 1.0 4.633 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.634 * [backup-simplify]: Simplify (* 1 1) into 1 4.634 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.634 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.634 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.635 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.635 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.635 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.636 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.636 * [backup-simplify]: Simplify (+ 1 0) into 1 4.637 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 4.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.638 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 4.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 4.642 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.643 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 4.644 * [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)))))) 4.645 * [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)))))) 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.647 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 4.654 * [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))))) 4.655 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.658 * [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)))) 4.664 * [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))))) 4.671 * [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))))) 4.674 * [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)))) 4.675 * [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) 4.675 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 4.675 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.675 * [taylor]: Taking taylor expansion of 1/3 in N 4.675 * [backup-simplify]: Simplify 1/3 into 1/3 4.675 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.675 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.675 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.675 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.675 * [taylor]: Taking taylor expansion of N in N 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of 1.0 in N 4.675 * [backup-simplify]: Simplify 1.0 into 1.0 4.675 * [backup-simplify]: Simplify (+ 1 0) into 1 4.675 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.675 * [taylor]: Taking taylor expansion of N in N 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [backup-simplify]: Simplify (log 1) into 0 4.677 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.677 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.677 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.677 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.677 * [taylor]: Taking taylor expansion of 1/3 in N 4.677 * [backup-simplify]: Simplify 1/3 into 1/3 4.677 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.677 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.677 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.677 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.677 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.677 * [taylor]: Taking taylor expansion of N in N 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (/ 1 1) into 1 4.677 * [taylor]: Taking taylor expansion of 1.0 in N 4.677 * [backup-simplify]: Simplify 1.0 into 1.0 4.677 * [backup-simplify]: Simplify (+ 1 0) into 1 4.677 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.678 * [taylor]: Taking taylor expansion of N in N 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (* 1 1) into 1 4.678 * [backup-simplify]: Simplify (* 1 1) into 1 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [backup-simplify]: Simplify (log 1) into 0 4.679 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.679 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.679 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.679 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.680 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.682 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 4.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 4.686 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.686 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 4.687 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.687 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.691 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 4.699 * [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 4.700 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.700 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.703 * [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)) 4.704 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.704 * [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))) 4.704 * [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)) 4.705 * [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 4.705 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 4.705 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.705 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.705 * [taylor]: Taking taylor expansion of -1 in N 4.705 * [backup-simplify]: Simplify -1 into -1 4.705 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.705 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.705 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.705 * [taylor]: Taking taylor expansion of 1/3 in N 4.705 * [backup-simplify]: Simplify 1/3 into 1/3 4.705 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.705 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.706 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.706 * [taylor]: Taking taylor expansion of 1.0 in N 4.706 * [backup-simplify]: Simplify 1.0 into 1.0 4.706 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.706 * [taylor]: Taking taylor expansion of N in N 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (/ 1 1) into 1 4.706 * [backup-simplify]: Simplify (- 1) into -1 4.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.706 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.706 * [taylor]: Taking taylor expansion of N in N 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* -1 -1) into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.707 * [backup-simplify]: Simplify (log 1) into 0 4.707 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.708 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.708 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.708 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 4.708 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.708 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.708 * [taylor]: Taking taylor expansion of -1 in N 4.708 * [backup-simplify]: Simplify -1 into -1 4.708 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.708 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.708 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.708 * [taylor]: Taking taylor expansion of 1/3 in N 4.708 * [backup-simplify]: Simplify 1/3 into 1/3 4.708 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.709 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.709 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.709 * [taylor]: Taking taylor expansion of 1.0 in N 4.709 * [backup-simplify]: Simplify 1.0 into 1.0 4.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.709 * [taylor]: Taking taylor expansion of N in N 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (- 1) into -1 4.709 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.709 * [taylor]: Taking taylor expansion of N in N 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (* -1 -1) into 1 4.710 * [backup-simplify]: Simplify (* 1 1) into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [backup-simplify]: Simplify (log 1) into 0 4.711 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.711 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.711 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.711 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.712 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 4.713 * [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)) 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.715 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 4.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 4.721 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.721 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 4.723 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.723 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.724 * [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)))) 4.725 * [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)))) 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (- 0) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 4.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.730 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 4.738 * [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 4.738 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.739 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.742 * [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)) 4.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.744 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.745 * [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)))) 4.745 * [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)))) 4.749 * [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)))) 4.749 * * * [progress]: simplifying candidates 4.750 * [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)))) 4.752 * * [simplify]: Extracting # 0 : cost 0 4.752 * * [simplify]: Extracting # 1 : cost 0 4.753 * * [simplify]: Extracting # 2 : cost 0 4.753 * * [simplify]: Extracting # 3 : cost 0 4.753 * * [simplify]: Extracting # 4 : cost 0 4.753 * * [simplify]: Extracting # 5 : cost 0 4.753 * * [simplify]: Extracting # 6 : cost 0 4.753 * * [simplify]: Extracting # 7 : cost 0 4.753 * * [simplify]: Extracting # 8 : cost 0 4.759 * * [simplify]: Extracting # 9 : cost 0 4.759 * * [simplify]: Extracting # 10 : cost 0 4.759 * * [simplify]: Extracting # 11 : cost 0 4.759 * * [simplify]: Extracting # 12 : cost 0 4.759 * * [simplify]: Extracting # 13 : cost 0 4.760 * * [simplify]: Extracting # 14 : cost 0 4.760 * * [simplify]: Extracting # 15 : cost 0 4.760 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 4.792 * * [simplify]: Extracting # 0 : cost 0 4.793 * * [simplify]: Extracting # 1 : cost 0 4.793 * * [simplify]: Extracting # 2 : cost 0 4.793 * * [simplify]: Extracting # 3 : cost 0 4.794 * * [simplify]: Extracting # 4 : cost 0 4.794 * * [simplify]: Extracting # 5 : cost 0 4.794 * * [simplify]: iteration 1 : 354 enodes (cost 1427 ) 4.892 * * [simplify]: Extracting # 0 : cost 0 4.893 * * [simplify]: Extracting # 1 : cost 0 4.894 * * [simplify]: Extracting # 2 : cost 0 4.895 * * [simplify]: Extracting # 3 : cost 0 4.895 * * [simplify]: Extracting # 4 : cost 0 4.896 * * [simplify]: iteration 2 : 973 enodes (cost 1328 ) 5.245 * * [simplify]: Extracting # 0 : cost 0 5.248 * * [simplify]: Extracting # 1 : cost 0 5.251 * * [simplify]: Extracting # 2 : cost 0 5.253 * * [simplify]: Extracting # 3 : cost 0 5.256 * * [simplify]: Extracting # 4 : cost 0 5.259 * * [simplify]: iteration 3 : 2854 enodes (cost 1135 ) 5.949 * * [simplify]: Extracting # 0 : cost 0 5.959 * * [simplify]: Extracting # 1 : cost 0 5.964 * * [simplify]: Extracting # 2 : cost 0 5.969 * * [simplify]: Extracting # 3 : cost 0 5.973 * * [simplify]: Extracting # 4 : cost 0 5.978 * * [simplify]: Extracting # 5 : cost 0 5.982 * * [simplify]: iteration done: 5001 enodes (cost 1091 ) 5.983 * [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)))) 5.983 * * * [progress]: adding candidates to table 6.217 * * [progress]: iteration 4 / 4 6.217 * * * [progress]: picking best candidate 6.224 * * * * [pick]: Picked # 6.225 * * * [progress]: localizing error 6.238 * * * [progress]: generating rewritten candidates 6.238 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 6.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 6.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 6.267 * * * [progress]: generating series expansions 6.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.267 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.267 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.267 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.267 * [taylor]: Taking taylor expansion of 1/3 in N 6.267 * [backup-simplify]: Simplify 1/3 into 1/3 6.267 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.267 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.267 * [taylor]: Taking taylor expansion of N in N 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.267 * [taylor]: Taking taylor expansion of N in N 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [taylor]: Taking taylor expansion of 1.0 in N 6.267 * [backup-simplify]: Simplify 1.0 into 1.0 6.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.268 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.268 * [backup-simplify]: Simplify (+ 1 0) into 1 6.269 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.269 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.270 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.270 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.270 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.270 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.271 * [taylor]: Taking taylor expansion of 1/3 in N 6.271 * [backup-simplify]: Simplify 1/3 into 1/3 6.271 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.271 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.271 * [taylor]: Taking taylor expansion of N in N 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.271 * [taylor]: Taking taylor expansion of N in N 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of 1.0 in N 6.271 * [backup-simplify]: Simplify 1.0 into 1.0 6.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.271 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.271 * [backup-simplify]: Simplify (+ 1 0) into 1 6.272 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.272 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.273 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.273 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.273 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.274 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.274 * [backup-simplify]: Simplify (+ 0 0) into 0 6.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.278 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.278 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 6.280 * [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))))) 6.280 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 6.289 * [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)) 6.290 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.291 * [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)))) 6.297 * [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))))) 6.299 * [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))))) 6.301 * [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)))) 6.301 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 6.301 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 6.301 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.302 * [taylor]: Taking taylor expansion of 1/3 in N 6.302 * [backup-simplify]: Simplify 1/3 into 1/3 6.302 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.302 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.302 * [taylor]: Taking taylor expansion of N in N 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.302 * [taylor]: Taking taylor expansion of 1.0 in N 6.302 * [backup-simplify]: Simplify 1.0 into 1.0 6.302 * [taylor]: Taking taylor expansion of N in N 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (+ 1 0) into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.303 * [backup-simplify]: Simplify (log 1) into 0 6.303 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.303 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.303 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.303 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.303 * [taylor]: Taking taylor expansion of 1/3 in N 6.303 * [backup-simplify]: Simplify 1/3 into 1/3 6.303 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.303 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.303 * [taylor]: Taking taylor expansion of N in N 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (/ 1 1) into 1 6.303 * [taylor]: Taking taylor expansion of 1.0 in N 6.304 * [backup-simplify]: Simplify 1.0 into 1.0 6.304 * [taylor]: Taking taylor expansion of N in N 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (+ 1 0) into 1 6.304 * [backup-simplify]: Simplify (/ 1 1) into 1 6.304 * [backup-simplify]: Simplify (log 1) into 0 6.304 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.305 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.305 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.305 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.306 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.310 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 6.312 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.312 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.319 * [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 6.319 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.319 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 6.322 * [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)) 6.322 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.323 * [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))) 6.323 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 6.323 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 6.323 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.323 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.323 * [taylor]: Taking taylor expansion of -1 in N 6.323 * [backup-simplify]: Simplify -1 into -1 6.324 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.324 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.324 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.324 * [taylor]: Taking taylor expansion of 1/3 in N 6.324 * [backup-simplify]: Simplify 1/3 into 1/3 6.324 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.324 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.324 * [taylor]: Taking taylor expansion of 1.0 in N 6.324 * [backup-simplify]: Simplify 1.0 into 1.0 6.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.324 * [taylor]: Taking taylor expansion of N in N 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (/ 1 1) into 1 6.324 * [taylor]: Taking taylor expansion of N in N 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify (- 1) into -1 6.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.325 * [backup-simplify]: Simplify (/ -1 1) into -1 6.325 * [backup-simplify]: Simplify (log -1) into (log -1) 6.326 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.326 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.326 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.326 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.326 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.326 * [taylor]: Taking taylor expansion of -1 in N 6.326 * [backup-simplify]: Simplify -1 into -1 6.327 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.327 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.327 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.327 * [taylor]: Taking taylor expansion of 1/3 in N 6.327 * [backup-simplify]: Simplify 1/3 into 1/3 6.327 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.327 * [taylor]: Taking taylor expansion of 1.0 in N 6.327 * [backup-simplify]: Simplify 1.0 into 1.0 6.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.327 * [taylor]: Taking taylor expansion of N in N 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (/ 1 1) into 1 6.328 * [taylor]: Taking taylor expansion of N in N 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (- 1) into -1 6.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.328 * [backup-simplify]: Simplify (/ -1 1) into -1 6.329 * [backup-simplify]: Simplify (log -1) into (log -1) 6.329 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.329 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.330 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.330 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.331 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (- 0) into 0 6.332 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.333 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 6.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.337 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.337 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 6.339 * [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)))))) 6.340 * [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)))))))) 6.341 * [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)))))))) 6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (- 0) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.348 * [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 6.348 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.349 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 6.352 * [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)))))) 6.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.354 * [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)))))))) 6.355 * [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)))))))) 6.357 * [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)))) 6.357 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 6.357 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.357 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.357 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.357 * [taylor]: Taking taylor expansion of 1/3 in N 6.357 * [backup-simplify]: Simplify 1/3 into 1/3 6.357 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.357 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.357 * [taylor]: Taking taylor expansion of N in N 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.357 * [taylor]: Taking taylor expansion of N in N 6.357 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.358 * [taylor]: Taking taylor expansion of 1.0 in N 6.358 * [backup-simplify]: Simplify 1.0 into 1.0 6.358 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.358 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.358 * [backup-simplify]: Simplify (+ 1 0) into 1 6.359 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.360 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.360 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.360 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.361 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.361 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.361 * [taylor]: Taking taylor expansion of 1/3 in N 6.361 * [backup-simplify]: Simplify 1/3 into 1/3 6.361 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.361 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.361 * [taylor]: Taking taylor expansion of N in N 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.361 * [taylor]: Taking taylor expansion of N in N 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [taylor]: Taking taylor expansion of 1.0 in N 6.361 * [backup-simplify]: Simplify 1.0 into 1.0 6.361 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.361 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.362 * [backup-simplify]: Simplify (+ 1 0) into 1 6.362 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.363 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.363 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.363 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.364 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.364 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.364 * [backup-simplify]: Simplify (+ 0 0) into 0 6.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.373 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.373 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 6.375 * [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))))) 6.375 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.375 * [backup-simplify]: Simplify (+ 0 0) into 0 6.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 6.381 * [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)) 6.381 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.383 * [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)))) 6.388 * [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))))) 6.390 * [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))))) 6.393 * [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)))) 6.393 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 6.393 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 6.393 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.393 * [taylor]: Taking taylor expansion of 1/3 in N 6.393 * [backup-simplify]: Simplify 1/3 into 1/3 6.393 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.393 * [taylor]: Taking taylor expansion of N in N 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (/ 1 1) into 1 6.393 * [taylor]: Taking taylor expansion of 1.0 in N 6.393 * [backup-simplify]: Simplify 1.0 into 1.0 6.393 * [taylor]: Taking taylor expansion of N in N 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.394 * [backup-simplify]: Simplify (+ 1 0) into 1 6.394 * [backup-simplify]: Simplify (/ 1 1) into 1 6.394 * [backup-simplify]: Simplify (log 1) into 0 6.394 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.394 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.395 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.395 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.395 * [taylor]: Taking taylor expansion of 1/3 in N 6.395 * [backup-simplify]: Simplify 1/3 into 1/3 6.395 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.395 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.395 * [taylor]: Taking taylor expansion of N in N 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (/ 1 1) into 1 6.395 * [taylor]: Taking taylor expansion of 1.0 in N 6.395 * [backup-simplify]: Simplify 1.0 into 1.0 6.395 * [taylor]: Taking taylor expansion of N in N 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (+ 1 0) into 1 6.395 * [backup-simplify]: Simplify (/ 1 1) into 1 6.396 * [backup-simplify]: Simplify (log 1) into 0 6.396 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.396 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.396 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.396 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.398 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.402 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.402 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 6.403 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.403 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (+ 0 0) into 0 6.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.411 * [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 6.411 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.411 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 6.414 * [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)) 6.414 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.415 * [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))) 6.415 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 6.415 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 6.415 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.415 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.415 * [taylor]: Taking taylor expansion of -1 in N 6.415 * [backup-simplify]: Simplify -1 into -1 6.416 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.416 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.416 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.416 * [taylor]: Taking taylor expansion of 1/3 in N 6.416 * [backup-simplify]: Simplify 1/3 into 1/3 6.416 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.416 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.416 * [taylor]: Taking taylor expansion of 1.0 in N 6.416 * [backup-simplify]: Simplify 1.0 into 1.0 6.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.416 * [taylor]: Taking taylor expansion of N in N 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify (/ 1 1) into 1 6.416 * [taylor]: Taking taylor expansion of N in N 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (- 1) into -1 6.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.417 * [backup-simplify]: Simplify (/ -1 1) into -1 6.417 * [backup-simplify]: Simplify (log -1) into (log -1) 6.418 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.418 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.418 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.418 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.418 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.418 * [taylor]: Taking taylor expansion of -1 in N 6.418 * [backup-simplify]: Simplify -1 into -1 6.419 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.419 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.419 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.419 * [taylor]: Taking taylor expansion of 1/3 in N 6.419 * [backup-simplify]: Simplify 1/3 into 1/3 6.419 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.419 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.419 * [taylor]: Taking taylor expansion of 1.0 in N 6.419 * [backup-simplify]: Simplify 1.0 into 1.0 6.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.419 * [taylor]: Taking taylor expansion of N in N 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of N in N 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (- 1) into -1 6.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.420 * [backup-simplify]: Simplify (/ -1 1) into -1 6.420 * [backup-simplify]: Simplify (log -1) into (log -1) 6.421 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.421 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.422 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.422 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.423 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (- 0) into 0 6.424 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.425 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 6.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.429 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.429 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 6.431 * [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)))))) 6.432 * [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)))))))) 6.433 * [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)))))))) 6.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.433 * [backup-simplify]: Simplify (- 0) into 0 6.434 * [backup-simplify]: Simplify (+ 0 0) into 0 6.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.440 * [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 6.440 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.441 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 6.445 * [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)))))) 6.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.447 * [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)))))))) 6.447 * [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)))))))) 6.449 * [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)))) 6.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 6.450 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 6.450 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 6.450 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.450 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.450 * [taylor]: Taking taylor expansion of 1/3 in N 6.450 * [backup-simplify]: Simplify 1/3 into 1/3 6.450 * [taylor]: Taking taylor expansion of (log N) in N 6.450 * [taylor]: Taking taylor expansion of N in N 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [backup-simplify]: Simplify (log 1) into 0 6.450 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.450 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.450 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.450 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.450 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.450 * [taylor]: Taking taylor expansion of 1/3 in N 6.450 * [backup-simplify]: Simplify 1/3 into 1/3 6.450 * [taylor]: Taking taylor expansion of (log N) in N 6.450 * [taylor]: Taking taylor expansion of N in N 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (log 1) into 0 6.451 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.451 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.451 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.451 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.452 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.453 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.453 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.459 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.463 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.464 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.465 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.470 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.472 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.472 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.480 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.481 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.483 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.497 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.499 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.501 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.501 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 6.501 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 6.501 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.502 * [taylor]: Taking taylor expansion of 1/3 in N 6.502 * [backup-simplify]: Simplify 1/3 into 1/3 6.502 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.502 * [taylor]: Taking taylor expansion of N in N 6.502 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify 1 into 1 6.502 * [backup-simplify]: Simplify (/ 1 1) into 1 6.502 * [backup-simplify]: Simplify (log 1) into 0 6.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.502 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.502 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.502 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.502 * [taylor]: Taking taylor expansion of 1/3 in N 6.503 * [backup-simplify]: Simplify 1/3 into 1/3 6.503 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.503 * [taylor]: Taking taylor expansion of N in N 6.503 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify 1 into 1 6.503 * [backup-simplify]: Simplify (/ 1 1) into 1 6.503 * [backup-simplify]: Simplify (log 1) into 0 6.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.503 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.503 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.503 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.505 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 6.506 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.506 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.509 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.512 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.512 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.514 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.519 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.519 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.521 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.535 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.538 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.557 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 6.557 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 6.557 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 6.557 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 6.557 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.557 * [taylor]: Taking taylor expansion of -1 in N 6.557 * [backup-simplify]: Simplify -1 into -1 6.557 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.558 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.558 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.558 * [taylor]: Taking taylor expansion of 1/3 in N 6.558 * [backup-simplify]: Simplify 1/3 into 1/3 6.558 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.558 * [taylor]: Taking taylor expansion of N in N 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [backup-simplify]: Simplify (/ 1 1) into 1 6.558 * [backup-simplify]: Simplify (log 1) into 0 6.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.559 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.559 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.559 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 6.559 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.559 * [taylor]: Taking taylor expansion of -1 in N 6.559 * [backup-simplify]: Simplify -1 into -1 6.559 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.559 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.559 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.559 * [taylor]: Taking taylor expansion of 1/3 in N 6.559 * [backup-simplify]: Simplify 1/3 into 1/3 6.559 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.559 * [taylor]: Taking taylor expansion of N in N 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 1 into 1 6.560 * [backup-simplify]: Simplify (/ 1 1) into 1 6.560 * [backup-simplify]: Simplify (log 1) into 0 6.560 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.560 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.560 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.561 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 6.561 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 6.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.563 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.563 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 6.563 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.564 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.568 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.571 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.571 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.573 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.574 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 6.574 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.580 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.582 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.584 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.592 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.593 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.595 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.597 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.621 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.623 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 6.624 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 6.624 * [backup-simplify]: Simplify (* (cbrt N) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (+ N 1.0)) 1/3) 6.624 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (+ N 1.0)) 1/3) in (N) around 0 6.624 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (+ N 1.0)) 1/3) in N 6.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (+ N 1.0))))) in N 6.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (+ N 1.0)))) in N 6.624 * [taylor]: Taking taylor expansion of 1/3 in N 6.624 * [backup-simplify]: Simplify 1/3 into 1/3 6.624 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (+ N 1.0))) in N 6.624 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ N 1.0)) in N 6.624 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.624 * [taylor]: Taking taylor expansion of N in N 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 1 into 1 6.624 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.624 * [taylor]: Taking taylor expansion of N in N 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 1 into 1 6.624 * [taylor]: Taking taylor expansion of 1.0 in N 6.624 * [backup-simplify]: Simplify 1.0 into 1.0 6.625 * [backup-simplify]: Simplify (* 1 1) into 1 6.625 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.625 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 6.625 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.626 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.626 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 6.626 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 6.626 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (+ N 1.0)) 1/3) in N 6.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (+ N 1.0))))) in N 6.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (+ N 1.0)))) in N 6.627 * [taylor]: Taking taylor expansion of 1/3 in N 6.627 * [backup-simplify]: Simplify 1/3 into 1/3 6.627 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (+ N 1.0))) in N 6.627 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ N 1.0)) in N 6.627 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.627 * [taylor]: Taking taylor expansion of N in N 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.627 * [taylor]: Taking taylor expansion of N in N 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of 1.0 in N 6.627 * [backup-simplify]: Simplify 1.0 into 1.0 6.627 * [backup-simplify]: Simplify (* 1 1) into 1 6.627 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.627 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 6.628 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.628 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.628 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 6.629 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 6.629 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 6.629 * [backup-simplify]: Simplify (+ 1 0) into 1 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.630 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1.0)) into 1 6.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.633 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.634 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.3333333333333333 6.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 6.636 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 6.636 * [backup-simplify]: Simplify (+ 0 0) into 0 6.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1.0))) into 0 6.642 * [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)) 6.642 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.644 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 6.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 6.651 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.654 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 6.654 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) 6.654 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) in (N) around 0 6.654 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) in N 6.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2))))) in N 6.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2)))) in N 6.654 * [taylor]: Taking taylor expansion of 1/3 in N 6.654 * [backup-simplify]: Simplify 1/3 into 1/3 6.654 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) (pow N 2))) in N 6.654 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) (pow N 2)) in N 6.654 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.654 * [taylor]: Taking taylor expansion of N in N 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (/ 1 1) into 1 6.655 * [taylor]: Taking taylor expansion of 1.0 in N 6.655 * [backup-simplify]: Simplify 1.0 into 1.0 6.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.655 * [taylor]: Taking taylor expansion of N in N 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (+ 1 0) into 1 6.655 * [backup-simplify]: Simplify (* 1 1) into 1 6.655 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [backup-simplify]: Simplify (log 1) into 0 6.656 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 6.656 * [backup-simplify]: Simplify (* 1/3 (- (* 3 (log N)))) into (* -1 (log N)) 6.656 * [backup-simplify]: Simplify (exp (* -1 (log N))) into (pow N -1) 6.656 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) in N 6.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2))))) in N 6.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2)))) in N 6.656 * [taylor]: Taking taylor expansion of 1/3 in N 6.656 * [backup-simplify]: Simplify 1/3 into 1/3 6.656 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) (pow N 2))) in N 6.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) (pow N 2)) in N 6.656 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of 1.0 in N 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (+ 1 0) into 1 6.657 * [backup-simplify]: Simplify (* 1 1) into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [backup-simplify]: Simplify (log 1) into 0 6.658 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 6.658 * [backup-simplify]: Simplify (* 1/3 (- (* 3 (log N)))) into (* -1 (log N)) 6.658 * [backup-simplify]: Simplify (exp (* -1 (log N))) into (pow N -1) 6.658 * [backup-simplify]: Simplify (pow N -1) into (pow N -1) 6.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.658 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.660 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.664 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 6.664 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 3 (log N))))) into 0.3333333333333333 6.665 * [backup-simplify]: Simplify (* (exp (* -1 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (/ 0.3333333333333333 N) 6.665 * [backup-simplify]: Simplify (/ 0.3333333333333333 N) into (/ 0.3333333333333333 N) 6.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.672 * [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 6.673 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 6.673 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 3 (log N)))))) into (- 0.16666666666666666) 6.676 * [backup-simplify]: Simplify (* (exp (* -1 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (/ -0.1111111111111111 N) 6.676 * [backup-simplify]: Simplify (/ -0.1111111111111111 N) into (/ -0.1111111111111111 N) 6.676 * [backup-simplify]: Simplify (+ (* (/ -0.1111111111111111 (/ 1 N)) (pow (/ 1 N) 2)) (+ (* (/ 0.3333333333333333 (/ 1 N)) (/ 1 N)) (pow (/ 1 N) -1))) into (- (+ (pow (/ 1 N) -1) 0.3333333333333333) (* 0.1111111111111111 (/ 1 N))) 6.677 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) 6.677 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) in (N) around 0 6.677 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) in N 6.677 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 6.677 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.677 * [taylor]: Taking taylor expansion of -1 in N 6.677 * [backup-simplify]: Simplify -1 into -1 6.677 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.678 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.678 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3) in N 6.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2))))) in N 6.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2)))) in N 6.678 * [taylor]: Taking taylor expansion of 1/3 in N 6.678 * [backup-simplify]: Simplify 1/3 into 1/3 6.678 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow N 2))) in N 6.678 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow N 2)) in N 6.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.678 * [taylor]: Taking taylor expansion of 1.0 in N 6.678 * [backup-simplify]: Simplify 1.0 into 1.0 6.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.678 * [taylor]: Taking taylor expansion of N in N 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (/ 1 1) into 1 6.678 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.678 * [taylor]: Taking taylor expansion of N in N 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (- 1) into -1 6.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.679 * [backup-simplify]: Simplify (* 1 1) into 1 6.679 * [backup-simplify]: Simplify (/ -1 1) into -1 6.679 * [backup-simplify]: Simplify (log -1) into (log -1) 6.680 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 6.680 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 3 (log N)))) into (* 1/3 (- (log -1) (* 3 (log N)))) 6.680 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 3 (log N))))) into (exp (* 1/3 (- (log -1) (* 3 (log N))))) 6.680 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) in N 6.680 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 6.680 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.680 * [taylor]: Taking taylor expansion of -1 in N 6.680 * [backup-simplify]: Simplify -1 into -1 6.681 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.681 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.681 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3) in N 6.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2))))) in N 6.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2)))) in N 6.681 * [taylor]: Taking taylor expansion of 1/3 in N 6.681 * [backup-simplify]: Simplify 1/3 into 1/3 6.681 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow N 2))) in N 6.681 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow N 2)) in N 6.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.681 * [taylor]: Taking taylor expansion of 1.0 in N 6.681 * [backup-simplify]: Simplify 1.0 into 1.0 6.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.681 * [taylor]: Taking taylor expansion of N in N 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ 1 1) into 1 6.681 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.681 * [taylor]: Taking taylor expansion of N in N 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (- 1) into -1 6.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.682 * [backup-simplify]: Simplify (* 1 1) into 1 6.682 * [backup-simplify]: Simplify (/ -1 1) into -1 6.683 * [backup-simplify]: Simplify (log -1) into (log -1) 6.683 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 6.683 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 3 (log N)))) into (* 1/3 (- (log -1) (* 3 (log N)))) 6.684 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 3 (log N))))) into (exp (* 1/3 (- (log -1) (* 3 (log N))))) 6.684 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.685 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) into (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 6.686 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) into (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (- 0) into 0 6.687 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.693 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 6.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.697 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 6.698 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 3 (log N))))) into (- 0.3333333333333333) 6.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 6.700 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.701 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) into (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 6.702 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) into (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (- 0) into 0 6.703 * [backup-simplify]: Simplify (+ 0 0) into 0 6.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 6.710 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 6.711 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 3 (log N)))))) into (- 0.16666666666666666) 6.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 6.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.716 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.718 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 6.719 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 6.722 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- N)))))))))) into (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (pow N 2)))) 6.722 * * * [progress]: simplifying candidates 6.723 * [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)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (* N (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (+ (log (cbrt N)) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* N (* (+ N 1.0) N)) (* (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (cbrt (sqrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (sqrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt N) (cbrt (+ N 1.0))) (* (cbrt N) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt N) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (sqrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt N) (cbrt (* (- (* N N) (* 1.0 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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -1) 0.3333333333333333) (* 0.1111111111111111 (/ 1 N))) (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (pow N 2)))) 6.725 * * [simplify]: Extracting # 0 : cost 0 6.725 * * [simplify]: Extracting # 1 : cost 0 6.725 * * [simplify]: Extracting # 2 : cost 0 6.725 * * [simplify]: Extracting # 3 : cost 0 6.725 * * [simplify]: Extracting # 4 : cost 0 6.725 * * [simplify]: Extracting # 5 : cost 0 6.726 * * [simplify]: Extracting # 6 : cost 0 6.726 * * [simplify]: Extracting # 7 : cost 0 6.726 * * [simplify]: Extracting # 8 : cost 0 6.726 * * [simplify]: Extracting # 9 : cost 0 6.726 * * [simplify]: Extracting # 10 : cost 0 6.726 * * [simplify]: Extracting # 11 : cost 0 6.727 * * [simplify]: Extracting # 12 : cost 0 6.727 * * [simplify]: Extracting # 13 : cost 0 6.727 * * [simplify]: Extracting # 14 : cost 0 6.727 * * [simplify]: iteration 0 : 149 enodes (cost 999 ) 6.756 * * [simplify]: Extracting # 0 : cost 0 6.756 * * [simplify]: Extracting # 1 : cost 0 6.757 * * [simplify]: Extracting # 2 : cost 0 6.757 * * [simplify]: Extracting # 3 : cost 0 6.758 * * [simplify]: Extracting # 4 : cost 0 6.758 * * [simplify]: iteration 1 : 362 enodes (cost 984 ) 6.867 * * [simplify]: Extracting # 0 : cost 0 6.868 * * [simplify]: Extracting # 1 : cost 0 6.869 * * [simplify]: Extracting # 2 : cost 0 6.870 * * [simplify]: Extracting # 3 : cost 0 6.872 * * [simplify]: Extracting # 4 : cost 0 6.873 * * [simplify]: iteration 2 : 995 enodes (cost 919 ) 7.276 * * [simplify]: Extracting # 0 : cost 0 7.279 * * [simplify]: Extracting # 1 : cost 0 7.282 * * [simplify]: Extracting # 2 : cost 0 7.286 * * [simplify]: Extracting # 3 : cost 0 7.291 * * [simplify]: Extracting # 4 : cost 0 7.294 * * [simplify]: iteration 3 : 2991 enodes (cost 799 ) 7.998 * * [simplify]: Extracting # 0 : cost 0 8.003 * * [simplify]: Extracting # 1 : cost 0 8.008 * * [simplify]: Extracting # 2 : cost 0 8.013 * * [simplify]: Extracting # 3 : cost 0 8.018 * * [simplify]: Extracting # 4 : cost 0 8.026 * * [simplify]: iteration done: 5000 enodes (cost 767 ) 8.026 * [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)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* N (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (log (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (log (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* N (* (+ N 1.0) N)) (* (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* N (* (+ N 1.0) N)) (sqrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (cbrt (sqrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (sqrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt N) (cbrt (+ N 1.0))) (* (cbrt N) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt N) (sqrt (cbrt (* (+ N 1.0) N)))) (cbrt N) (* (cbrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (sqrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt N) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (+ (+ (cbrt (* N 1.0)) (/ (* (* N N) -1/6) (/ (* 1.0 1.0) (cbrt (* N 1.0))))) (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N))))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (cbrt (/ 1 N)))) (* (cbrt (/ 1 (pow N 4))) 0.1111111111111111)) (+ (* (* (/ (cbrt -1) N) (cbrt (* -1 (pow (/ -1 N) -2)))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2))))) (+ (+ (cbrt (* N 1.0)) (/ (* (* N N) -1/6) (/ (* 1.0 1.0) (cbrt (* N 1.0))))) (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N))))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (cbrt (/ 1 N)))) (* (cbrt (/ 1 (pow N 4))) 0.1111111111111111)) (+ (* (* (/ (cbrt -1) N) (cbrt (* -1 (pow (/ -1 N) -2)))) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2))))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (+ (/ (* -1/6 (/ (cbrt (* 1.0 (* N N))) (/ 1.0 (* N N)))) 1.0) (* (cbrt (* 1.0 (* N N))) (+ (* 0.3333333333333333 N) (+ (* 0.05555555555555555 (* N N)) 1)))) (+ (- 0.3333333333333333 (/ 0.1111111111111111 N)) N) (+ (* (cbrt (* -1 (pow (/ -1 N) -3))) (pow (cbrt -1) 2)) (* (/ (cbrt (* -1 (pow (/ -1 N) -3))) (/ N (pow (cbrt -1) 2))) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) 8.027 * * * [progress]: adding candidates to table 8.251 * [progress]: [Phase 3 of 3] Extracting. 8.251 * * [regime]: Finding splitpoints for: (# # # #) 8.252 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.252 * * * * [regimes]: Trying to branch on N from (# # # #) 8.266 * * * [regime]: Found split indices: #