15.965 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.034 * * [simplify]: Extracting # 5 : cost 0 0.034 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.040 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.084 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.084 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.084 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.085 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.085 * [taylor]: Taking taylor expansion of (atan N) in N 0.085 * [backup-simplify]: Simplify (atan N) into (atan N) 0.085 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.085 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.085 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.085 * [taylor]: Taking taylor expansion of (atan N) in N 0.086 * [backup-simplify]: Simplify (atan N) into (atan N) 0.086 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.086 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.086 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.090 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.090 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.090 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.090 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.090 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.090 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.090 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.090 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.090 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.094 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.094 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.094 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.094 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.094 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.094 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.094 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.094 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.094 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.094 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.094 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.098 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.098 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.098 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.099 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.099 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.099 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.099 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.099 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.100 * * * [progress]: simplifying candidates 0.101 * [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)) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: Extracting # 1 : cost 0 0.102 * * [simplify]: Extracting # 2 : cost 0 0.102 * * [simplify]: Extracting # 3 : cost 0 0.102 * * [simplify]: Extracting # 4 : cost 0 0.102 * * [simplify]: Extracting # 5 : cost 0 0.102 * * [simplify]: Extracting # 6 : cost 0 0.102 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.112 * * [simplify]: Extracting # 0 : cost 0 0.112 * * [simplify]: Extracting # 1 : cost 0 0.112 * * [simplify]: Extracting # 2 : cost 0 0.113 * * [simplify]: Extracting # 3 : cost 0 0.113 * * [simplify]: Extracting # 4 : cost 0 0.113 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.130 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.131 * * [simplify]: Extracting # 3 : cost 0 0.131 * * [simplify]: iteration 2 : 145 enodes (cost 245 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: Extracting # 2 : cost 0 0.165 * * [simplify]: Extracting # 3 : cost 0 0.165 * * [simplify]: iteration 3 : 270 enodes (cost 241 ) 0.260 * * [simplify]: Extracting # 0 : cost 0 0.261 * * [simplify]: Extracting # 1 : cost 0 0.262 * * [simplify]: Extracting # 2 : cost 0 0.263 * * [simplify]: Extracting # 3 : cost 0 0.264 * * [simplify]: Extracting # 4 : cost 0 0.265 * * [simplify]: iteration 4 : 534 enodes (cost 239 ) 0.678 * * [simplify]: Extracting # 0 : cost 0 0.681 * * [simplify]: Extracting # 1 : cost 0 0.684 * * [simplify]: Extracting # 2 : cost 0 0.686 * * [simplify]: Extracting # 3 : cost 0 0.688 * * [simplify]: Extracting # 4 : cost 0 0.691 * * [simplify]: iteration 5 : 1497 enodes (cost 239 ) 2.142 * * [simplify]: Extracting # 0 : cost 0 2.151 * * [simplify]: Extracting # 1 : cost 0 2.156 * * [simplify]: Extracting # 2 : cost 0 2.161 * * [simplify]: Extracting # 3 : cost 0 2.165 * * [simplify]: Extracting # 4 : cost 0 2.170 * * [simplify]: iteration done: 5000 enodes (cost 239 ) 2.170 * [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)) 2.171 * * * [progress]: adding candidates to table 2.231 * * [progress]: iteration 2 / 4 2.231 * * * [progress]: picking best candidate 2.234 * * * * [pick]: Picked # 2.234 * * * [progress]: localizing error 2.249 * * * [progress]: generating rewritten candidates 2.250 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.250 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 2.292 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.306 * * * [progress]: generating series expansions 2.306 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.306 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.306 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.306 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.307 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.307 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.307 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.312 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.313 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.313 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.313 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.313 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.314 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.314 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.314 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.316 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.316 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.316 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.316 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.316 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.316 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.317 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.317 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.317 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.318 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.318 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of 1.0 in N 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.318 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of 1.0 in N 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.319 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.319 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ 1 0) into 1 2.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.321 * [backup-simplify]: Simplify 1.0 into 1.0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.322 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.336 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.336 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.336 * [taylor]: Taking taylor expansion of N in N 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (/ 1 1) into 1 2.336 * [taylor]: Taking taylor expansion of 1.0 in N 2.336 * [backup-simplify]: Simplify 1.0 into 1.0 2.336 * [taylor]: Taking taylor expansion of N in N 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (+ 1 0) into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (/ 1 1) into 1 2.338 * [taylor]: Taking taylor expansion of 1.0 in N 2.338 * [backup-simplify]: Simplify 1.0 into 1.0 2.338 * [taylor]: Taking taylor expansion of N in N 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (+ 1 0) into 1 2.338 * [backup-simplify]: Simplify (/ 1 1) into 1 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.342 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.342 * [backup-simplify]: Simplify 1.0 into 1.0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.356 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.356 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.357 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.357 * [taylor]: Taking taylor expansion of -1 in N 2.357 * [backup-simplify]: Simplify -1 into -1 2.357 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.357 * [taylor]: Taking taylor expansion of 1.0 in N 2.357 * [backup-simplify]: Simplify 1.0 into 1.0 2.357 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (- 1) into -1 2.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.359 * [backup-simplify]: Simplify (/ -1 1) into -1 2.359 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.359 * [taylor]: Taking taylor expansion of -1 in N 2.359 * [backup-simplify]: Simplify -1 into -1 2.359 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.359 * [taylor]: Taking taylor expansion of 1.0 in N 2.359 * [backup-simplify]: Simplify 1.0 into 1.0 2.359 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (- 1) into -1 2.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.360 * [backup-simplify]: Simplify (/ -1 1) into -1 2.361 * [backup-simplify]: Simplify (* -1 -1) into 1 2.361 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.364 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.366 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.366 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.383 * [backup-simplify]: Simplify (- 0) into 0 2.383 * [backup-simplify]: Simplify (+ 0 0) into 0 2.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (- 0) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.391 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.392 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.392 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 2.392 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 2.392 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.392 * [taylor]: Taking taylor expansion of N in N 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 2.392 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.392 * [taylor]: Taking taylor expansion of 1.0 in N 2.392 * [backup-simplify]: Simplify 1.0 into 1.0 2.392 * [taylor]: Taking taylor expansion of N in N 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [taylor]: Taking taylor expansion of 1 in N 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 2.392 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.392 * [taylor]: Taking taylor expansion of N in N 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 2.392 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.392 * [taylor]: Taking taylor expansion of 1.0 in N 2.392 * [backup-simplify]: Simplify 1.0 into 1.0 2.392 * [taylor]: Taking taylor expansion of N in N 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [taylor]: Taking taylor expansion of 1 in N 2.392 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.393 * [backup-simplify]: Simplify (+ 0 1) into 1 2.394 * [backup-simplify]: Simplify (+ 0 1) into 1 2.394 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.396 * [backup-simplify]: Simplify 1.0 into 1.0 2.396 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.398 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 2.398 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 2.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.398 * [taylor]: Taking taylor expansion of 1.0 in N 2.398 * [backup-simplify]: Simplify 1.0 into 1.0 2.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.398 * [taylor]: Taking taylor expansion of N in N 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.399 * [taylor]: Taking taylor expansion of N in N 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (* 1 1) into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.400 * [taylor]: Taking taylor expansion of 1 in N 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.400 * [taylor]: Taking taylor expansion of 1.0 in N 2.400 * [backup-simplify]: Simplify 1.0 into 1.0 2.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.400 * [taylor]: Taking taylor expansion of N in N 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (/ 1 1) into 1 2.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.400 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.400 * [taylor]: Taking taylor expansion of N in N 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (* 1 1) into 1 2.401 * [backup-simplify]: Simplify (/ 1 1) into 1 2.401 * [taylor]: Taking taylor expansion of 1 in N 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (+ 1 0) into 1 2.402 * [backup-simplify]: Simplify (+ 0 1) into 1 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (+ 0 0) into 0 2.404 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.404 * [backup-simplify]: Simplify 1.0 into 1.0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ 0 1) into 1 2.409 * [backup-simplify]: Simplify (+ 0 1) into 1 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.409 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 2.409 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 2.409 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.409 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.409 * [taylor]: Taking taylor expansion of N in N 2.409 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.410 * [backup-simplify]: Simplify (/ 1 1) into 1 2.410 * [taylor]: Taking taylor expansion of 1 in N 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.410 * [taylor]: Taking taylor expansion of 1.0 in N 2.410 * [backup-simplify]: Simplify 1.0 into 1.0 2.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.410 * [taylor]: Taking taylor expansion of N in N 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (/ 1 1) into 1 2.410 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 2.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.411 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.411 * [taylor]: Taking taylor expansion of N in N 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (/ 1 1) into 1 2.411 * [taylor]: Taking taylor expansion of 1 in N 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.411 * [taylor]: Taking taylor expansion of 1.0 in N 2.411 * [backup-simplify]: Simplify 1.0 into 1.0 2.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.411 * [taylor]: Taking taylor expansion of N in N 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.412 * [backup-simplify]: Simplify (/ 1 1) into 1 2.412 * [backup-simplify]: Simplify (+ 1 0) into 1 2.412 * [backup-simplify]: Simplify (+ 1 0) into 1 2.412 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.414 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.415 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.415 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (+ 0 1) into 1 2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.419 * [backup-simplify]: Simplify (- 0) into 0 2.420 * [backup-simplify]: Simplify (+ 1 0) into 1 2.420 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.421 * * * [progress]: simplifying candidates 2.422 * [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) (* (exp 1) (exp (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 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)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 2.424 * * [simplify]: Extracting # 0 : cost 0 2.424 * * [simplify]: Extracting # 1 : cost 0 2.424 * * [simplify]: Extracting # 2 : cost 0 2.424 * * [simplify]: Extracting # 3 : cost 0 2.424 * * [simplify]: Extracting # 4 : cost 0 2.425 * * [simplify]: Extracting # 5 : cost 0 2.425 * * [simplify]: iteration 0 : 73 enodes (cost 489 ) 2.456 * * [simplify]: Extracting # 0 : cost 0 2.457 * * [simplify]: Extracting # 1 : cost 0 2.457 * * [simplify]: Extracting # 2 : cost 0 2.457 * * [simplify]: Extracting # 3 : cost 0 2.457 * * [simplify]: Extracting # 4 : cost 0 2.457 * * [simplify]: iteration 1 : 175 enodes (cost 461 ) 2.566 * * [simplify]: Extracting # 0 : cost 0 2.567 * * [simplify]: Extracting # 1 : cost 0 2.569 * * [simplify]: Extracting # 2 : cost 0 2.570 * * [simplify]: Extracting # 3 : cost 0 2.571 * * [simplify]: Extracting # 4 : cost 0 2.572 * * [simplify]: iteration 2 : 517 enodes (cost 403 ) 3.179 * * [simplify]: Extracting # 0 : cost 0 3.184 * * [simplify]: Extracting # 1 : cost 0 3.187 * * [simplify]: Extracting # 2 : cost 0 3.191 * * [simplify]: Extracting # 3 : cost 0 3.194 * * [simplify]: Extracting # 4 : cost 0 3.197 * * [simplify]: iteration 3 : 1850 enodes (cost 403 ) 4.231 * * [simplify]: Extracting # 0 : cost 0 4.237 * * [simplify]: Extracting # 1 : cost 0 4.245 * * [simplify]: Extracting # 2 : cost 0 4.251 * * [simplify]: Extracting # 3 : cost 0 4.263 * * [simplify]: Extracting # 4 : cost 0 4.268 * * [simplify]: iteration done: 5001 enodes (cost 403 ) 4.269 * [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) (exp (+ 1 (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (pow (+ (* (+ N 1.0) N) 1) 3) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow (* (+ N 1.0) N) 3) 1) (+ 1 (* (* (+ N 1.0) N) (- (* (+ N 1.0) N) 1))) (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) N)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (+ (* (+ N 1.0) N) 1) (+ (* (+ N 1.0) N) 1) (+ (* (+ N 1.0) N) 1) 4.269 * * * [progress]: adding candidates to table 4.394 * * [progress]: iteration 3 / 4 4.394 * * * [progress]: picking best candidate 4.413 * * * * [pick]: Picked # 4.413 * * * [progress]: localizing error 4.436 * * * [progress]: generating rewritten candidates 4.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.496 * * * [progress]: generating series expansions 4.496 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.497 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.497 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.497 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.497 * [taylor]: Taking taylor expansion of 1/3 in N 4.497 * [backup-simplify]: Simplify 1/3 into 1/3 4.497 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.497 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [taylor]: Taking taylor expansion of 1.0 in N 4.497 * [backup-simplify]: Simplify 1.0 into 1.0 4.497 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.498 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.498 * [backup-simplify]: Simplify (+ 1 0) into 1 4.499 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.499 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.500 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.500 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.500 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.500 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.500 * [taylor]: Taking taylor expansion of 1/3 in N 4.500 * [backup-simplify]: Simplify 1/3 into 1/3 4.500 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.500 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.500 * [taylor]: Taking taylor expansion of N in N 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.500 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.500 * [taylor]: Taking taylor expansion of N in N 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.500 * [taylor]: Taking taylor expansion of 1.0 in N 4.501 * [backup-simplify]: Simplify 1.0 into 1.0 4.501 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.501 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.501 * [backup-simplify]: Simplify (+ 1 0) into 1 4.506 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.507 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.507 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.508 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.508 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.508 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.513 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.513 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.515 * [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))))) 4.515 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.522 * [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)) 4.523 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.525 * [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)))) 4.532 * [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))))) 4.534 * [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))))) 4.537 * [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)))) 4.537 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.537 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.537 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.537 * [taylor]: Taking taylor expansion of 1/3 in N 4.537 * [backup-simplify]: Simplify 1/3 into 1/3 4.537 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.538 * [taylor]: Taking taylor expansion of N in N 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (/ 1 1) into 1 4.538 * [taylor]: Taking taylor expansion of 1.0 in N 4.538 * [backup-simplify]: Simplify 1.0 into 1.0 4.538 * [taylor]: Taking taylor expansion of N in N 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (+ 1 0) into 1 4.539 * [backup-simplify]: Simplify (/ 1 1) into 1 4.539 * [backup-simplify]: Simplify (log 1) into 0 4.539 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.539 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.539 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.539 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.539 * [taylor]: Taking taylor expansion of 1/3 in N 4.539 * [backup-simplify]: Simplify 1/3 into 1/3 4.539 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.539 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.539 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.539 * [taylor]: Taking taylor expansion of N in N 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [backup-simplify]: Simplify (/ 1 1) into 1 4.540 * [taylor]: Taking taylor expansion of 1.0 in N 4.540 * [backup-simplify]: Simplify 1.0 into 1.0 4.540 * [taylor]: Taking taylor expansion of N in N 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [backup-simplify]: Simplify (+ 1 0) into 1 4.540 * [backup-simplify]: Simplify (/ 1 1) into 1 4.541 * [backup-simplify]: Simplify (log 1) into 0 4.541 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.541 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.541 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.541 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.542 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.543 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.547 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.547 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.549 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.549 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify (+ 0 0) into 0 4.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.557 * [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 4.557 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.557 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.562 * [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)) 4.562 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.564 * [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))) 4.564 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.564 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.564 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.564 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.564 * [taylor]: Taking taylor expansion of -1 in N 4.564 * [backup-simplify]: Simplify -1 into -1 4.565 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.566 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.566 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) 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 (/ (- 1.0 (/ 1 N)) N)) in N 4.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 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 (/ 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 4.567 * [backup-simplify]: Simplify (/ 1 1) into 1 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 4.567 * [backup-simplify]: Simplify (- 1) into -1 4.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.568 * [backup-simplify]: Simplify (/ -1 1) into -1 4.569 * [backup-simplify]: Simplify (log -1) into (log -1) 4.569 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.570 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.570 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.570 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.571 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.571 * [taylor]: Taking taylor expansion of -1 in N 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.572 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.572 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.572 * [taylor]: Taking taylor expansion of 1/3 in N 4.572 * [backup-simplify]: Simplify 1/3 into 1/3 4.572 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.572 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.572 * [taylor]: Taking taylor expansion of 1.0 in N 4.572 * [backup-simplify]: Simplify 1.0 into 1.0 4.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.572 * [taylor]: Taking taylor expansion of N in N 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 1 into 1 4.573 * [backup-simplify]: Simplify (/ 1 1) into 1 4.573 * [taylor]: Taking taylor expansion of N in N 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.573 * [backup-simplify]: Simplify (- 1) into -1 4.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.574 * [backup-simplify]: Simplify (/ -1 1) into -1 4.575 * [backup-simplify]: Simplify (log -1) into (log -1) 4.575 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.576 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.577 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.578 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.579 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (- 0) into 0 4.581 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.584 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.593 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.594 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.597 * [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)))))) 4.599 * [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)))))))) 4.600 * [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)))))))) 4.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (- 0) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.614 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.620 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.627 * [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)))))) 4.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.631 * [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)))))))) 4.632 * [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)))))))) 4.635 * [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)))) 4.636 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.636 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.636 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.636 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.636 * [taylor]: Taking taylor expansion of 1/3 in N 4.636 * [backup-simplify]: Simplify 1/3 into 1/3 4.636 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.636 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.636 * [taylor]: Taking taylor expansion of N in N 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.636 * [taylor]: Taking taylor expansion of N in N 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of 1.0 in N 4.636 * [backup-simplify]: Simplify 1.0 into 1.0 4.637 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.637 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.638 * [backup-simplify]: Simplify (+ 1 0) into 1 4.639 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.639 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.640 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.640 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.641 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.641 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.641 * [taylor]: Taking taylor expansion of 1/3 in N 4.641 * [backup-simplify]: Simplify 1/3 into 1/3 4.641 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.641 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.641 * [taylor]: Taking taylor expansion of N in N 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.641 * [taylor]: Taking taylor expansion of N in N 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of 1.0 in N 4.641 * [backup-simplify]: Simplify 1.0 into 1.0 4.642 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.642 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.642 * [backup-simplify]: Simplify (+ 1 0) into 1 4.644 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.644 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.645 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.646 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.646 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.647 * [backup-simplify]: Simplify (+ 0 0) into 0 4.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.655 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.656 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.659 * [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))))) 4.659 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.660 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.666 * [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)) 4.667 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.668 * [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)))) 4.675 * [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))))) 4.677 * [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))))) 4.680 * [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)))) 4.680 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.680 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.680 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.680 * [taylor]: Taking taylor expansion of 1/3 in N 4.680 * [backup-simplify]: Simplify 1/3 into 1/3 4.680 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.680 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.680 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.680 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.680 * [taylor]: Taking taylor expansion of N in N 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [taylor]: Taking taylor expansion of 1.0 in N 4.681 * [backup-simplify]: Simplify 1.0 into 1.0 4.681 * [taylor]: Taking taylor expansion of N in N 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (+ 1 0) into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [backup-simplify]: Simplify (log 1) into 0 4.682 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.682 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.682 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.682 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.682 * [taylor]: Taking taylor expansion of 1/3 in N 4.682 * [backup-simplify]: Simplify 1/3 into 1/3 4.682 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.682 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.682 * [taylor]: Taking taylor expansion of N in N 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [taylor]: Taking taylor expansion of 1.0 in N 4.682 * [backup-simplify]: Simplify 1.0 into 1.0 4.682 * [taylor]: Taking taylor expansion of N in N 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (+ 1 0) into 1 4.683 * [backup-simplify]: Simplify (/ 1 1) into 1 4.683 * [backup-simplify]: Simplify (log 1) into 0 4.683 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.684 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.684 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.684 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.686 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.690 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.690 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.692 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.692 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.704 * [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 4.705 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.705 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.709 * [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)) 4.709 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.710 * [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))) 4.710 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.710 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.710 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.710 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.710 * [taylor]: Taking taylor expansion of -1 in N 4.710 * [backup-simplify]: Simplify -1 into -1 4.710 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.711 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.711 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.711 * [taylor]: Taking taylor expansion of 1/3 in N 4.711 * [backup-simplify]: Simplify 1/3 into 1/3 4.711 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.711 * [taylor]: Taking taylor expansion of 1.0 in N 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.711 * [taylor]: Taking taylor expansion of N in N 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [taylor]: Taking taylor expansion of N in N 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (- 1) into -1 4.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.712 * [backup-simplify]: Simplify (/ -1 1) into -1 4.712 * [backup-simplify]: Simplify (log -1) into (log -1) 4.713 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.713 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.713 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.713 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.713 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.713 * [taylor]: Taking taylor expansion of -1 in N 4.713 * [backup-simplify]: Simplify -1 into -1 4.714 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.714 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.714 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.714 * [taylor]: Taking taylor expansion of 1/3 in N 4.714 * [backup-simplify]: Simplify 1/3 into 1/3 4.714 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.714 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.714 * [taylor]: Taking taylor expansion of 1.0 in N 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.714 * [taylor]: Taking taylor expansion of N in N 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (/ 1 1) into 1 4.715 * [taylor]: Taking taylor expansion of N in N 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (- 1) into -1 4.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.715 * [backup-simplify]: Simplify (/ -1 1) into -1 4.716 * [backup-simplify]: Simplify (log -1) into (log -1) 4.716 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.716 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.717 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.717 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.718 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (- 0) into 0 4.719 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.720 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.725 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.728 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.731 * [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)))))) 4.732 * [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)))))))) 4.732 * [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)))))))) 4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.733 * [backup-simplify]: Simplify (- 0) into 0 4.733 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.740 * [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 4.741 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.742 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.748 * [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)))))) 4.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.751 * [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)))))))) 4.753 * [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)))))))) 4.757 * [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)))) 4.757 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 4.757 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.757 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.757 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.757 * [taylor]: Taking taylor expansion of 1/3 in N 4.757 * [backup-simplify]: Simplify 1/3 into 1/3 4.758 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.758 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.758 * [taylor]: Taking taylor expansion of N in N 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.758 * [taylor]: Taking taylor expansion of N in N 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [taylor]: Taking taylor expansion of 1.0 in N 4.758 * [backup-simplify]: Simplify 1.0 into 1.0 4.758 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.759 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.759 * [backup-simplify]: Simplify (+ 1 0) into 1 4.761 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.761 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.762 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.763 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.763 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.763 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.763 * [taylor]: Taking taylor expansion of 1/3 in N 4.763 * [backup-simplify]: Simplify 1/3 into 1/3 4.763 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.764 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.764 * [taylor]: Taking taylor expansion of N in N 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.764 * [taylor]: Taking taylor expansion of N in N 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [taylor]: Taking taylor expansion of 1.0 in N 4.764 * [backup-simplify]: Simplify 1.0 into 1.0 4.764 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.765 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.765 * [backup-simplify]: Simplify (+ 1 0) into 1 4.767 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.767 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.768 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.768 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.769 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.770 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.777 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.778 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.781 * [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))))) 4.782 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.791 * [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)) 4.792 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.793 * [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)))) 4.800 * [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))))) 4.802 * [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))))) 4.805 * [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)))) 4.805 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.805 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.805 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.805 * [taylor]: Taking taylor expansion of 1/3 in N 4.805 * [backup-simplify]: Simplify 1/3 into 1/3 4.805 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.805 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.805 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.805 * [taylor]: Taking taylor expansion of N in N 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.806 * [taylor]: Taking taylor expansion of 1.0 in N 4.806 * [backup-simplify]: Simplify 1.0 into 1.0 4.806 * [taylor]: Taking taylor expansion of N in N 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [backup-simplify]: Simplify (+ 1 0) into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.806 * [backup-simplify]: Simplify (log 1) into 0 4.807 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.807 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.807 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.807 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.807 * [taylor]: Taking taylor expansion of 1/3 in N 4.807 * [backup-simplify]: Simplify 1/3 into 1/3 4.807 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.807 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.807 * [taylor]: Taking taylor expansion of N in N 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (/ 1 1) into 1 4.807 * [taylor]: Taking taylor expansion of 1.0 in N 4.807 * [backup-simplify]: Simplify 1.0 into 1.0 4.807 * [taylor]: Taking taylor expansion of N in N 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.808 * [backup-simplify]: Simplify (+ 1 0) into 1 4.808 * [backup-simplify]: Simplify (/ 1 1) into 1 4.808 * [backup-simplify]: Simplify (log 1) into 0 4.808 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.808 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.809 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.809 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.810 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.811 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.815 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.815 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.818 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.818 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.833 * [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 4.834 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.835 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.840 * [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)) 4.840 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.841 * [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))) 4.841 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.841 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.841 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.841 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.841 * [taylor]: Taking taylor expansion of -1 in N 4.841 * [backup-simplify]: Simplify -1 into -1 4.842 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.847 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.847 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.847 * [taylor]: Taking taylor expansion of 1/3 in N 4.847 * [backup-simplify]: Simplify 1/3 into 1/3 4.847 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.847 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.847 * [taylor]: Taking taylor expansion of 1.0 in N 4.847 * [backup-simplify]: Simplify 1.0 into 1.0 4.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.847 * [taylor]: Taking taylor expansion of N in N 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ 1 1) into 1 4.848 * [taylor]: Taking taylor expansion of N in N 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (- 1) into -1 4.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.849 * [backup-simplify]: Simplify (/ -1 1) into -1 4.850 * [backup-simplify]: Simplify (log -1) into (log -1) 4.850 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.851 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.851 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.851 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.851 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.851 * [taylor]: Taking taylor expansion of -1 in N 4.851 * [backup-simplify]: Simplify -1 into -1 4.852 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.853 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.853 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.853 * [taylor]: Taking taylor expansion of 1/3 in N 4.853 * [backup-simplify]: Simplify 1/3 into 1/3 4.853 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.853 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.853 * [taylor]: Taking taylor expansion of 1.0 in N 4.853 * [backup-simplify]: Simplify 1.0 into 1.0 4.853 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.853 * [taylor]: Taking taylor expansion of N in N 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [taylor]: Taking taylor expansion of N in N 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (- 1) into -1 4.854 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.854 * [backup-simplify]: Simplify (/ -1 1) into -1 4.855 * [backup-simplify]: Simplify (log -1) into (log -1) 4.855 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.856 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.856 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.857 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.858 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (- 0) into 0 4.860 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.862 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.869 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.870 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.873 * [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)))))) 4.875 * [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)))))))) 4.876 * [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)))))))) 4.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- 0) into 0 4.878 * [backup-simplify]: Simplify (+ 0 0) into 0 4.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.891 * [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 4.892 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.893 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.900 * [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)))))) 4.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.904 * [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)))))))) 4.905 * [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)))))))) 4.909 * [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)))) 4.910 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.910 * [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) 4.910 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 4.910 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.910 * [taylor]: Taking taylor expansion of 1/3 in N 4.910 * [backup-simplify]: Simplify 1/3 into 1/3 4.910 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.910 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.910 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.910 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of 1.0 in N 4.911 * [backup-simplify]: Simplify 1.0 into 1.0 4.911 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.911 * [backup-simplify]: Simplify (* 1 1) into 1 4.912 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.912 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.913 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.913 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.914 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.915 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.915 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.915 * [taylor]: Taking taylor expansion of 1/3 in N 4.915 * [backup-simplify]: Simplify 1/3 into 1/3 4.915 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.915 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.915 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.915 * [taylor]: Taking taylor expansion of N in N 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.915 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.915 * [taylor]: Taking taylor expansion of N in N 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of 1.0 in N 4.915 * [backup-simplify]: Simplify 1.0 into 1.0 4.916 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.916 * [backup-simplify]: Simplify (* 1 1) into 1 4.916 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.917 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.917 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.918 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.919 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.919 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.920 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.921 * [backup-simplify]: Simplify (+ 1 0) into 1 4.922 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.924 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 4.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 4.930 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.931 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 4.932 * [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)))))) 4.933 * [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)))))) 4.933 * [backup-simplify]: Simplify (+ 0 0) into 0 4.934 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.935 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 4.943 * [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))))) 4.943 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.947 * [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)))) 4.954 * [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))))) 4.956 * [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))))) 4.959 * [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)))) 4.959 * [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) 4.959 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 4.959 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.960 * [taylor]: Taking taylor expansion of 1/3 in N 4.960 * [backup-simplify]: Simplify 1/3 into 1/3 4.960 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.960 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.960 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.960 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.960 * [taylor]: Taking taylor expansion of N in N 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [backup-simplify]: Simplify (/ 1 1) into 1 4.960 * [taylor]: Taking taylor expansion of 1.0 in N 4.960 * [backup-simplify]: Simplify 1.0 into 1.0 4.961 * [backup-simplify]: Simplify (+ 1 0) into 1 4.961 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.961 * [taylor]: Taking taylor expansion of N in N 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (* 1 1) into 1 4.961 * [backup-simplify]: Simplify (* 1 1) into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [backup-simplify]: Simplify (log 1) into 0 4.963 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.963 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.963 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.963 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.963 * [taylor]: Taking taylor expansion of 1/3 in N 4.963 * [backup-simplify]: Simplify 1/3 into 1/3 4.963 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.963 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.963 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.963 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.963 * [taylor]: Taking taylor expansion of N in N 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [taylor]: Taking taylor expansion of 1.0 in N 4.964 * [backup-simplify]: Simplify 1.0 into 1.0 4.964 * [backup-simplify]: Simplify (+ 1 0) into 1 4.964 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.964 * [taylor]: Taking taylor expansion of N in N 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.965 * [backup-simplify]: Simplify (* 1 1) into 1 4.965 * [backup-simplify]: Simplify (* 1 1) into 1 4.969 * [backup-simplify]: Simplify (/ 1 1) into 1 4.970 * [backup-simplify]: Simplify (log 1) into 0 4.971 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.971 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.971 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.971 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.974 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.976 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 4.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 4.983 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.984 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 4.986 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.986 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.994 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 5.008 * [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 5.009 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.009 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 5.015 * [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)) 5.015 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 5.016 * [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))) 5.017 * [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)) 5.017 * [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 5.017 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 5.017 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.017 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.017 * [taylor]: Taking taylor expansion of -1 in N 5.017 * [backup-simplify]: Simplify -1 into -1 5.018 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.019 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.019 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 5.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 5.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 5.019 * [taylor]: Taking taylor expansion of 1/3 in N 5.019 * [backup-simplify]: Simplify 1/3 into 1/3 5.019 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 5.019 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 5.019 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 5.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.019 * [taylor]: Taking taylor expansion of 1.0 in N 5.019 * [backup-simplify]: Simplify 1.0 into 1.0 5.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.019 * [taylor]: Taking taylor expansion of N in N 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [backup-simplify]: Simplify (- 1) into -1 5.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.020 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.020 * [taylor]: Taking taylor expansion of N in N 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (* -1 -1) into 1 5.021 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.022 * [backup-simplify]: Simplify (log 1) into 0 5.023 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.023 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.023 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.023 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 5.023 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.023 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.023 * [taylor]: Taking taylor expansion of -1 in N 5.023 * [backup-simplify]: Simplify -1 into -1 5.023 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.024 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.024 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 5.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 5.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 5.024 * [taylor]: Taking taylor expansion of 1/3 in N 5.025 * [backup-simplify]: Simplify 1/3 into 1/3 5.025 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 5.025 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 5.025 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 5.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.025 * [taylor]: Taking taylor expansion of 1.0 in N 5.025 * [backup-simplify]: Simplify 1.0 into 1.0 5.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.025 * [taylor]: Taking taylor expansion of N in N 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.025 * [backup-simplify]: Simplify (/ 1 1) into 1 5.026 * [backup-simplify]: Simplify (- 1) into -1 5.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.026 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.026 * [taylor]: Taking taylor expansion of N in N 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (* -1 -1) into 1 5.027 * [backup-simplify]: Simplify (* 1 1) into 1 5.027 * [backup-simplify]: Simplify (/ 1 1) into 1 5.028 * [backup-simplify]: Simplify (log 1) into 0 5.028 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.028 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.028 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.030 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.031 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 5.032 * [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)) 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- 0) into 0 5.034 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.035 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 5.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.039 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 5.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 5.047 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.048 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 5.051 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 5.052 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.054 * [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)))) 5.055 * [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)))) 5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (- 0) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 5.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.063 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 5.078 * [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 5.078 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.079 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 5.085 * [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)) 5.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.088 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.090 * [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)))) 5.092 * [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)))) 5.099 * [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)))) 5.099 * * * [progress]: simplifying candidates 5.101 * [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)))) 5.106 * * [simplify]: Extracting # 0 : cost 0 5.106 * * [simplify]: Extracting # 1 : cost 0 5.106 * * [simplify]: Extracting # 2 : cost 0 5.107 * * [simplify]: Extracting # 3 : cost 0 5.107 * * [simplify]: Extracting # 4 : cost 0 5.107 * * [simplify]: Extracting # 5 : cost 0 5.107 * * [simplify]: Extracting # 6 : cost 0 5.108 * * [simplify]: Extracting # 7 : cost 0 5.108 * * [simplify]: Extracting # 8 : cost 0 5.108 * * [simplify]: Extracting # 9 : cost 0 5.109 * * [simplify]: Extracting # 10 : cost 0 5.109 * * [simplify]: Extracting # 11 : cost 0 5.110 * * [simplify]: Extracting # 12 : cost 0 5.110 * * [simplify]: Extracting # 13 : cost 0 5.110 * * [simplify]: Extracting # 14 : cost 0 5.111 * * [simplify]: Extracting # 15 : cost 0 5.111 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 5.159 * * [simplify]: Extracting # 0 : cost 0 5.160 * * [simplify]: Extracting # 1 : cost 0 5.161 * * [simplify]: Extracting # 2 : cost 0 5.161 * * [simplify]: Extracting # 3 : cost 0 5.162 * * [simplify]: Extracting # 4 : cost 0 5.163 * * [simplify]: Extracting # 5 : cost 0 5.163 * * [simplify]: iteration 1 : 354 enodes (cost 1427 ) 5.319 * * [simplify]: Extracting # 0 : cost 0 5.325 * * [simplify]: Extracting # 1 : cost 0 5.326 * * [simplify]: Extracting # 2 : cost 0 5.327 * * [simplify]: Extracting # 3 : cost 0 5.328 * * [simplify]: Extracting # 4 : cost 0 5.329 * * [simplify]: iteration 2 : 973 enodes (cost 1328 ) 5.915 * * [simplify]: Extracting # 0 : cost 0 5.918 * * [simplify]: Extracting # 1 : cost 0 5.921 * * [simplify]: Extracting # 2 : cost 0 5.924 * * [simplify]: Extracting # 3 : cost 0 5.927 * * [simplify]: Extracting # 4 : cost 0 5.930 * * [simplify]: iteration 3 : 2854 enodes (cost 1135 ) 7.118 * * [simplify]: Extracting # 0 : cost 0 7.136 * * [simplify]: Extracting # 1 : cost 0 7.148 * * [simplify]: Extracting # 2 : cost 0 7.160 * * [simplify]: Extracting # 3 : cost 0 7.171 * * [simplify]: Extracting # 4 : cost 0 7.182 * * [simplify]: Extracting # 5 : cost 0 7.193 * * [simplify]: iteration done: 5001 enodes (cost 1091 ) 7.195 * [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)))) 7.196 * * * [progress]: adding candidates to table 7.534 * * [progress]: iteration 4 / 4 7.534 * * * [progress]: picking best candidate 7.552 * * * * [pick]: Picked # 7.553 * * * [progress]: localizing error 7.576 * * * [progress]: generating rewritten candidates 7.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.578 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.580 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.599 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.601 * * * [progress]: generating series expansions 7.601 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.601 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.601 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 7.601 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.602 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.602 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.602 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.602 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.602 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.602 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.602 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.603 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.603 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.607 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.607 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 7.607 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.607 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.607 * [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))) 7.608 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.608 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.608 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.608 * [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))) 7.608 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.609 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.609 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.610 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.611 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.612 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.613 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.613 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 7.613 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.613 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.613 * [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)))) 7.613 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.614 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.614 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.614 * [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)))) 7.614 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.615 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.618 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.619 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.619 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 7.619 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.619 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.619 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.619 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.620 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.620 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.620 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.620 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.622 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.625 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.625 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 7.625 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.625 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.625 * [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))) 7.626 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.626 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.626 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.626 * [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))) 7.627 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.628 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.628 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.630 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.632 * [backup-simplify]: Simplify 0 into 0 7.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.633 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.634 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.635 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.635 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 7.635 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.635 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.635 * [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)))) 7.636 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.636 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.636 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.637 * [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)))) 7.637 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.638 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.638 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.640 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.642 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.643 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.644 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.644 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.644 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 7.644 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.644 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.645 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.645 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.645 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.646 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.646 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 7.646 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.646 * [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))) 7.646 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.646 * [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))) 7.646 * [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))) 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [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))) 7.647 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.647 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.647 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.647 * [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)))) 7.647 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.648 * [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)))) 7.648 * [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)))) 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [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))) 7.648 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.648 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.648 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 7.648 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.649 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.649 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.649 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.649 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.649 * [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))) 7.649 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 7.649 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.650 * [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))) 7.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.650 * [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))) 7.650 * [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))) 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [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))) 7.651 * [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)))) 7.651 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.651 * [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)))) 7.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.651 * [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)))) 7.651 * [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)))) 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.652 * [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))) 7.652 * * * [progress]: simplifying candidates 7.653 * [simplify]: Simplifying: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (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))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (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))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (exp (* (sqrt (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)))) (sqrt (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (* (sqrt (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)))) (sqrt (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)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (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 (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 1 1) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (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)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (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))) (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))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.660 * * [simplify]: Extracting # 0 : cost 0 7.660 * * [simplify]: Extracting # 1 : cost 0 7.660 * * [simplify]: Extracting # 2 : cost 0 7.660 * * [simplify]: Extracting # 3 : cost 0 7.660 * * [simplify]: Extracting # 4 : cost 0 7.660 * * [simplify]: Extracting # 5 : cost 0 7.660 * * [simplify]: Extracting # 6 : cost 0 7.660 * * [simplify]: Extracting # 7 : cost 0 7.660 * * [simplify]: Extracting # 8 : cost 0 7.660 * * [simplify]: Extracting # 9 : cost 0 7.661 * * [simplify]: iteration 0 : 64 enodes (cost 1843 ) 7.681 * * [simplify]: Extracting # 0 : cost 0 7.681 * * [simplify]: Extracting # 1 : cost 0 7.681 * * [simplify]: Extracting # 2 : cost 0 7.682 * * [simplify]: iteration 1 : 104 enodes (cost 1267 ) 7.718 * * [simplify]: Extracting # 0 : cost 0 7.718 * * [simplify]: Extracting # 1 : cost 0 7.719 * * [simplify]: Extracting # 2 : cost 0 7.719 * * [simplify]: Extracting # 3 : cost 0 7.719 * * [simplify]: iteration 2 : 216 enodes (cost 1115 ) 7.823 * * [simplify]: Extracting # 0 : cost 0 7.824 * * [simplify]: Extracting # 1 : cost 0 7.824 * * [simplify]: Extracting # 2 : cost 0 7.825 * * [simplify]: Extracting # 3 : cost 0 7.825 * * [simplify]: Extracting # 4 : cost 0 7.826 * * [simplify]: iteration 3 : 409 enodes (cost 1064 ) 8.113 * * [simplify]: Extracting # 0 : cost 0 8.114 * * [simplify]: Extracting # 1 : cost 0 8.115 * * [simplify]: Extracting # 2 : cost 0 8.116 * * [simplify]: Extracting # 3 : cost 0 8.116 * * [simplify]: Extracting # 4 : cost 0 8.117 * * [simplify]: iteration 4 : 838 enodes (cost 1028 ) 10.715 * * [simplify]: Extracting # 0 : cost 0 10.725 * * [simplify]: Extracting # 1 : cost 0 10.733 * * [simplify]: Extracting # 2 : cost 0 10.740 * * [simplify]: Extracting # 3 : cost 0 10.748 * * [simplify]: Extracting # 4 : cost 0 10.755 * * [simplify]: iteration 5 : 4762 enodes (cost 998 ) 13.486 * * [simplify]: Extracting # 0 : cost 0 13.501 * * [simplify]: Extracting # 1 : cost 0 13.506 * * [simplify]: Extracting # 2 : cost 0 13.510 * * [simplify]: Extracting # 3 : cost 0 13.514 * * [simplify]: Extracting # 4 : cost 0 13.518 * * [simplify]: iteration done: 5000 enodes (cost 998 ) 13.518 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) 1 (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) 1 (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4) 2 (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1 (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1 (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 13.519 * * * [progress]: adding candidates to table 13.680 * [progress]: [Phase 3 of 3] Extracting. 13.680 * * [regime]: Finding splitpoints for: (# # # # # # # #) 13.682 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.682 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 13.711 * * * [regime]: Found split indices: #