5.541 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.044 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.074 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.074 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.075 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.075 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [backup-simplify]: Simplify 1.0 into 1.0 0.076 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.076 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.076 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [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)) 0.087 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.088 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.088 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.088 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (log 1) into 0 0.089 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (log 1) into 0 0.090 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.091 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [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 0.105 * [backup-simplify]: Simplify -0.5 into -0.5 0.105 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.106 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.106 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.107 * [backup-simplify]: Simplify (log -1) into (log -1) 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (log -1) into (log -1) 0.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.109 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.113 * [backup-simplify]: Simplify -1.0 into -1.0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [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 0.121 * [backup-simplify]: Simplify -0.5 into -0.5 0.121 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.121 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.121 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.121 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.121 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.121 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 1.0 in N 0.121 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.122 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.122 * [taylor]: Taking taylor expansion of (log N) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.123 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.124 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.124 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.124 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [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)) 0.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.139 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.141 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.141 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.141 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.143 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.144 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.145 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [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 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.160 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.174 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.174 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.174 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.174 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (log -1) into (log -1) 0.175 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.176 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.176 * [taylor]: Taking taylor expansion of -1 in N 0.176 * [backup-simplify]: Simplify -1 into -1 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ -1 1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.176 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (- 1) into -1 0.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.177 * [backup-simplify]: Simplify (log -1) into (log -1) 0.177 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [backup-simplify]: Simplify -1 into -1 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ -1 1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.179 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.179 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.180 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.189 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.199 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.214 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.215 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.215 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.216 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 0.219 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.223 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.230 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.265 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.266 * * * [progress]: adding candidates to table 0.360 * * [progress]: iteration 2 / 4 0.360 * * * [progress]: picking best candidate 0.363 * * * * [pick]: Picked # 0.363 * * * [progress]: localizing error 0.368 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.373 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.393 * * * [progress]: generating series expansions 0.393 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.393 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.393 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.393 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.393 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.393 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of 1.0 in N 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.394 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.394 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.395 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.395 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.395 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of 1.0 in N 0.395 * [backup-simplify]: Simplify 1.0 into 1.0 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.395 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.395 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.396 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.396 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.397 * [backup-simplify]: Simplify (+ 1 0) into 1 0.397 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.406 * [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)) 0.407 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.408 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.408 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.408 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.408 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.408 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of 1.0 in N 0.409 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [backup-simplify]: Simplify (* 0 1) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.410 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.411 * [backup-simplify]: Simplify (log 1) into 0 0.411 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.411 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of 1.0 in N 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (* 0 1) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.413 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.413 * [backup-simplify]: Simplify (log 1) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.419 * [backup-simplify]: Simplify 1.0 into 1.0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.430 * [backup-simplify]: Simplify -0.5 into -0.5 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.440 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.440 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.441 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.441 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.441 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.441 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.441 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.441 * [taylor]: Taking taylor expansion of -1 in N 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.441 * [taylor]: Taking taylor expansion of 1.0 in N 0.441 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (- 1) into -1 0.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.442 * [backup-simplify]: Simplify (* 0 -1) into 0 0.442 * [backup-simplify]: Simplify (* -1 0) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.444 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.444 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.444 * [backup-simplify]: Simplify (log 1) into 0 0.444 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.444 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.444 * [taylor]: Taking taylor expansion of -1 in N 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.444 * [taylor]: Taking taylor expansion of 1.0 in N 0.444 * [backup-simplify]: Simplify 1.0 into 1.0 0.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (- 1) into -1 0.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.445 * [backup-simplify]: Simplify (* 0 -1) into 0 0.446 * [backup-simplify]: Simplify (* -1 0) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.447 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.447 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.448 * [backup-simplify]: Simplify (log 1) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.451 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.455 * [backup-simplify]: Simplify -1.0 into -1.0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.465 * [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 0.465 * [backup-simplify]: Simplify -0.5 into -0.5 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.477 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 0.477 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.478 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.478 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.478 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.478 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of 1.0 in N 0.478 * [backup-simplify]: Simplify 1.0 into 1.0 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.479 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.479 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [backup-simplify]: Simplify 1.0 into 1.0 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.479 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.479 * [backup-simplify]: Simplify 1.0 into 1.0 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.486 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.486 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.486 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.486 * [backup-simplify]: Simplify 1.0 into 1.0 0.486 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.486 * [backup-simplify]: Simplify 1.0 into 1.0 0.487 * [backup-simplify]: Simplify (+ 1 0) into 1 0.487 * [backup-simplify]: Simplify (* 0 1) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.488 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.488 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.491 * [backup-simplify]: Simplify 1.0 into 1.0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [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 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.501 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.501 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.501 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.501 * [taylor]: Taking taylor expansion of -1 in N 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.501 * [taylor]: Taking taylor expansion of -1 in N 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (- 1) into -1 0.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.502 * [backup-simplify]: Simplify (* 0 -1) into 0 0.503 * [backup-simplify]: Simplify (* -1 0) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.504 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.504 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.511 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.511 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.519 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [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 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.525 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.528 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.528 * * * [progress]: simplifying candidates 0.529 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ 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)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.530 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.533 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.537 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.549 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.622 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.624 * * * [progress]: adding candidates to table 0.725 * * [progress]: iteration 3 / 4 0.725 * * * [progress]: picking best candidate 0.730 * * * * [pick]: Picked # 0.730 * * * [progress]: localizing error 0.740 * * * [progress]: generating rewritten candidates 0.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.757 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 0.765 * * * [progress]: generating series expansions 0.765 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.765 * [backup-simplify]: Simplify (log (/ (cbrt (+ N 1.0)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 0.765 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.765 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.765 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.765 * [taylor]: Taking taylor expansion of 1/3 in N 0.765 * [backup-simplify]: Simplify 1/3 into 1/3 0.765 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.765 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.765 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.765 * [taylor]: Taking taylor expansion of N in N 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [taylor]: Taking taylor expansion of 1.0 in N 0.765 * [backup-simplify]: Simplify 1.0 into 1.0 0.765 * [taylor]: Taking taylor expansion of N in N 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.766 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.766 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.767 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.767 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 0.768 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 0.768 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.768 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.768 * [taylor]: Taking taylor expansion of 1/3 in N 0.768 * [backup-simplify]: Simplify 1/3 into 1/3 0.768 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.768 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.768 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.768 * [taylor]: Taking taylor expansion of N in N 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [taylor]: Taking taylor expansion of 1.0 in N 0.768 * [backup-simplify]: Simplify 1.0 into 1.0 0.768 * [taylor]: Taking taylor expansion of N in N 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.772 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.772 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.773 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.773 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.774 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 0.774 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 0.774 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.779 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.780 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 0.782 * [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))))) 0.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 0.782 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.789 * [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)) 0.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.791 * [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)))) 0.797 * [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))))) 0.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 0.801 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 0.802 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 0.802 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 0.802 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.802 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.802 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.802 * [taylor]: Taking taylor expansion of 1/3 in N 0.802 * [backup-simplify]: Simplify 1/3 into 1/3 0.802 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.802 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of 1.0 in N 0.803 * [backup-simplify]: Simplify 1.0 into 1.0 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (* 0 1) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.804 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.805 * [backup-simplify]: Simplify (log 1) into 0 0.805 * [backup-simplify]: Simplify (* 1/3 0) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.812 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 0.812 * [backup-simplify]: Simplify (exp 0) into 1 0.812 * [backup-simplify]: Simplify (log 1) into 0 0.812 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.812 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.812 * [taylor]: Taking taylor expansion of 1/3 in N 0.812 * [backup-simplify]: Simplify 1/3 into 1/3 0.812 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.812 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.812 * [taylor]: Taking taylor expansion of N in N 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.812 * [taylor]: Taking taylor expansion of N in N 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [taylor]: Taking taylor expansion of 1.0 in N 0.812 * [backup-simplify]: Simplify 1.0 into 1.0 0.813 * [backup-simplify]: Simplify (+ 1 0) into 1 0.813 * [backup-simplify]: Simplify (* 0 1) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.814 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.814 * [backup-simplify]: Simplify (log 1) into 0 0.815 * [backup-simplify]: Simplify (* 1/3 0) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.821 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 0.821 * [backup-simplify]: Simplify (exp 0) into 1 0.822 * [backup-simplify]: Simplify (log 1) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 0.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 0.827 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.835 * [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 0.836 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 0.840 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 0.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 0.848 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.862 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.864 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 0.871 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 0.885 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 0.885 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 0.886 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 0.886 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) into (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) 0.886 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.886 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.886 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.886 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.886 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.886 * [taylor]: Taking taylor expansion of -1 in N 0.886 * [backup-simplify]: Simplify -1 into -1 0.887 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.887 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.888 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 0.888 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.888 * [taylor]: Taking taylor expansion of 1/3 in N 0.888 * [backup-simplify]: Simplify 1/3 into 1/3 0.888 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.888 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.888 * [taylor]: Taking taylor expansion of N in N 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.888 * [taylor]: Taking taylor expansion of 1.0 in N 0.888 * [backup-simplify]: Simplify 1.0 into 1.0 0.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.888 * [taylor]: Taking taylor expansion of N in N 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [backup-simplify]: Simplify (- 1) into -1 0.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.889 * [backup-simplify]: Simplify (* 0 -1) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.890 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.891 * [backup-simplify]: Simplify (log -1) into (log -1) 0.891 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 0.892 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 0.893 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 0.895 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 0.895 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.895 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.895 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.895 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.895 * [taylor]: Taking taylor expansion of -1 in N 0.895 * [backup-simplify]: Simplify -1 into -1 0.896 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.896 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.897 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 0.897 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.897 * [taylor]: Taking taylor expansion of 1/3 in N 0.897 * [backup-simplify]: Simplify 1/3 into 1/3 0.897 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.897 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [backup-simplify]: Simplify 1.0 into 1.0 0.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [backup-simplify]: Simplify (- 1) into -1 0.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.898 * [backup-simplify]: Simplify (* 0 -1) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.899 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.900 * [backup-simplify]: Simplify (log -1) into (log -1) 0.900 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 0.901 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 0.902 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 0.904 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 0.906 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.914 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 0.917 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 0.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3))) into (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 0.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 1) into -0.3333333333333333 0.934 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.942 * [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 0.943 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 0.952 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 0.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 0.958 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow -1 1/3))) (+ (* 0 (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 0.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 2)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 2) into -0.16666666666666666 0.983 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 0.985 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (pow -1 1/3) (/ 1 (cbrt -1)))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 0.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.986 * [backup-simplify]: Simplify (log (/ (cbrt (+ N 1.0)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 0.986 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.986 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.986 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.986 * [taylor]: Taking taylor expansion of 1/3 in N 0.986 * [backup-simplify]: Simplify 1/3 into 1/3 0.986 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.986 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.986 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.986 * [taylor]: Taking taylor expansion of N in N 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of 1.0 in N 0.986 * [backup-simplify]: Simplify 1.0 into 1.0 0.986 * [taylor]: Taking taylor expansion of N in N 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.987 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.987 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.988 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.988 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 0.988 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 0.988 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.988 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.988 * [taylor]: Taking taylor expansion of 1/3 in N 0.988 * [backup-simplify]: Simplify 1/3 into 1/3 0.988 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.988 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.988 * [taylor]: Taking taylor expansion of N in N 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.989 * [backup-simplify]: Simplify 1.0 into 1.0 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.989 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.989 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.990 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.990 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.990 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 0.991 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 0.991 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.991 * [backup-simplify]: Simplify (+ 1 0) into 1 0.992 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.996 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 0.998 * [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))))) 0.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 0.999 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.005 * [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)) 1.005 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.007 * [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)))) 1.013 * [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))))) 1.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 1.017 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 1.018 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 1.018 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 1.018 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.019 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.019 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.019 * [taylor]: Taking taylor expansion of 1/3 in N 1.019 * [backup-simplify]: Simplify 1/3 into 1/3 1.019 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.019 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.019 * [taylor]: Taking taylor expansion of N in N 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.019 * [taylor]: Taking taylor expansion of N in N 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [taylor]: Taking taylor expansion of 1.0 in N 1.019 * [backup-simplify]: Simplify 1.0 into 1.0 1.019 * [backup-simplify]: Simplify (+ 1 0) into 1 1.020 * [backup-simplify]: Simplify (* 0 1) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.021 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.021 * [backup-simplify]: Simplify (log 1) into 0 1.021 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.028 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 1.028 * [backup-simplify]: Simplify (exp 0) into 1 1.028 * [backup-simplify]: Simplify (log 1) into 0 1.028 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.028 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.028 * [taylor]: Taking taylor expansion of 1/3 in N 1.028 * [backup-simplify]: Simplify 1/3 into 1/3 1.028 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.028 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.029 * [taylor]: Taking taylor expansion of N in N 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.029 * [taylor]: Taking taylor expansion of N in N 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [taylor]: Taking taylor expansion of 1.0 in N 1.029 * [backup-simplify]: Simplify 1.0 into 1.0 1.029 * [backup-simplify]: Simplify (+ 1 0) into 1 1.029 * [backup-simplify]: Simplify (* 0 1) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.030 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.031 * [backup-simplify]: Simplify (log 1) into 0 1.031 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.041 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 1.041 * [backup-simplify]: Simplify (exp 0) into 1 1.041 * [backup-simplify]: Simplify (log 1) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 1.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 1.047 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.054 * [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 1.056 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 1.060 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 1.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 1.068 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.078 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.080 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 1.087 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 1.101 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 1.101 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.101 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 1.102 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) into (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) 1.102 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.102 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.102 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.102 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.102 * [taylor]: Taking taylor expansion of -1 in N 1.102 * [backup-simplify]: Simplify -1 into -1 1.102 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.102 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.103 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.103 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.103 * [taylor]: Taking taylor expansion of 1/3 in N 1.103 * [backup-simplify]: Simplify 1/3 into 1/3 1.103 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.103 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [backup-simplify]: Simplify 1.0 into 1.0 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (- 1) into -1 1.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.104 * [backup-simplify]: Simplify (* 0 -1) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (- 0) into 0 1.105 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.106 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.106 * [backup-simplify]: Simplify (log -1) into (log -1) 1.106 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 1.107 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 1.109 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 1.111 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.111 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.111 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.111 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.111 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.111 * [taylor]: Taking taylor expansion of -1 in N 1.111 * [backup-simplify]: Simplify -1 into -1 1.111 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.111 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.112 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.112 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.112 * [taylor]: Taking taylor expansion of 1/3 in N 1.112 * [backup-simplify]: Simplify 1/3 into 1/3 1.112 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.112 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.112 * [taylor]: Taking taylor expansion of N in N 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.112 * [taylor]: Taking taylor expansion of 1.0 in N 1.112 * [backup-simplify]: Simplify 1.0 into 1.0 1.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.112 * [taylor]: Taking taylor expansion of N in N 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [backup-simplify]: Simplify (- 1) into -1 1.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.113 * [backup-simplify]: Simplify (* 0 -1) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.115 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.115 * [backup-simplify]: Simplify (log -1) into (log -1) 1.115 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 1.116 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 1.118 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 1.119 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.121 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.132 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 1.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 1.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.140 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3))) into (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 1.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 1) into -0.3333333333333333 1.152 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.160 * [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 1.162 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 1.167 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 1.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 1.172 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow -1 1/3))) (+ (* 0 (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 1.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 2)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 2) into -0.16666666666666666 1.198 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.200 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (pow -1 1/3) (/ 1 (cbrt -1)))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 1.200 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.200 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.200 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.200 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.200 * [taylor]: Taking taylor expansion of 1/3 in N 1.200 * [backup-simplify]: Simplify 1/3 into 1/3 1.200 * [taylor]: Taking taylor expansion of (log N) in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (log 1) into 0 1.201 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.201 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.201 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.201 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.201 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.201 * [taylor]: Taking taylor expansion of 1/3 in N 1.201 * [backup-simplify]: Simplify 1/3 into 1/3 1.201 * [taylor]: Taking taylor expansion of (log N) in N 1.201 * [taylor]: Taking taylor expansion of N in N 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (log 1) into 0 1.201 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.201 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.201 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.202 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.203 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.203 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.203 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.205 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.206 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.212 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.213 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.219 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.222 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.231 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.234 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.250 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.251 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.254 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.254 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.254 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.254 * [taylor]: Taking taylor expansion of 1/3 in N 1.254 * [backup-simplify]: Simplify 1/3 into 1/3 1.254 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.254 * [taylor]: Taking taylor expansion of N in N 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (/ 1 1) into 1 1.255 * [backup-simplify]: Simplify (log 1) into 0 1.255 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.255 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.255 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.255 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.255 * [taylor]: Taking taylor expansion of 1/3 in N 1.255 * [backup-simplify]: Simplify 1/3 into 1/3 1.255 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [backup-simplify]: Simplify (log 1) into 0 1.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.256 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.256 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.256 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.258 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.259 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.261 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.262 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.267 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.276 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.291 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.306 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.307 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.310 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.310 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.310 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.310 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.310 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.310 * [taylor]: Taking taylor expansion of -1 in N 1.310 * [backup-simplify]: Simplify -1 into -1 1.311 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.311 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.311 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.311 * [taylor]: Taking taylor expansion of 1/3 in N 1.311 * [backup-simplify]: Simplify 1/3 into 1/3 1.311 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (/ 1 1) into 1 1.312 * [backup-simplify]: Simplify (log 1) into 0 1.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.312 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.312 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.312 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.312 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.312 * [taylor]: Taking taylor expansion of -1 in N 1.312 * [backup-simplify]: Simplify -1 into -1 1.313 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.313 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.313 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.313 * [taylor]: Taking taylor expansion of 1/3 in N 1.313 * [backup-simplify]: Simplify 1/3 into 1/3 1.313 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.313 * [taylor]: Taking taylor expansion of N in N 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify (log 1) into 0 1.314 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.314 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.314 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.314 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.315 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.316 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.317 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.321 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.323 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.326 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.328 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.330 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.336 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.338 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.340 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.349 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.352 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.374 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.377 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.380 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.380 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 1.380 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.381 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.381 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.381 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.381 * [taylor]: Taking taylor expansion of 1/3 in N 1.381 * [backup-simplify]: Simplify 1/3 into 1/3 1.381 * [taylor]: Taking taylor expansion of (log N) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (log 1) into 0 1.381 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.381 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.381 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.381 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.381 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.381 * [taylor]: Taking taylor expansion of 1/3 in N 1.381 * [backup-simplify]: Simplify 1/3 into 1/3 1.381 * [taylor]: Taking taylor expansion of (log N) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (log 1) into 0 1.382 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.382 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.382 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.382 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.383 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.384 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.386 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.390 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.391 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.397 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.399 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.408 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.426 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.431 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.431 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.431 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.431 * [taylor]: Taking taylor expansion of 1/3 in N 1.431 * [backup-simplify]: Simplify 1/3 into 1/3 1.431 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.431 * [taylor]: Taking taylor expansion of N in N 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [backup-simplify]: Simplify (log 1) into 0 1.432 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.432 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.432 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.432 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.432 * [taylor]: Taking taylor expansion of 1/3 in N 1.432 * [backup-simplify]: Simplify 1/3 into 1/3 1.432 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.432 * [taylor]: Taking taylor expansion of N in N 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [backup-simplify]: Simplify (log 1) into 0 1.433 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.433 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.433 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.433 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.435 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.435 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.438 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.439 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.442 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.444 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.453 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.455 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.464 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.467 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.483 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.487 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.488 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.488 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.488 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.488 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.488 * [taylor]: Taking taylor expansion of -1 in N 1.488 * [backup-simplify]: Simplify -1 into -1 1.488 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.488 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.488 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.489 * [taylor]: Taking taylor expansion of 1/3 in N 1.489 * [backup-simplify]: Simplify 1/3 into 1/3 1.489 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.489 * [taylor]: Taking taylor expansion of N in N 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [backup-simplify]: Simplify (log 1) into 0 1.489 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.489 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.490 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.490 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.490 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.490 * [taylor]: Taking taylor expansion of -1 in N 1.490 * [backup-simplify]: Simplify -1 into -1 1.490 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.490 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.490 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.490 * [taylor]: Taking taylor expansion of 1/3 in N 1.490 * [backup-simplify]: Simplify 1/3 into 1/3 1.490 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.490 * [taylor]: Taking taylor expansion of N in N 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify (log 1) into 0 1.491 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.491 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.491 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.492 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.492 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.494 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.494 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.497 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.498 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.500 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.505 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.512 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.515 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.526 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.532 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.534 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.554 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.556 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.557 * * * [progress]: simplifying candidates 1.559 * [simplify]: Simplifying: (log (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) 1)) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ 1 (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ 1 (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ 1 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log 1) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (log (/ 1 (cbrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (exp (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (* (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) 1)) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ 1 (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ 1 (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ 1 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log 1) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (log (/ 1 (cbrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (exp (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (* (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 1.560 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (sqrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1)) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt 1))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) 1)) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (sqrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (sqrt (cbrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) 1)) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt 1))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) 1)) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ 1 (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ 1 (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ 1 (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ 1 (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ 1 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log 1) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (cbrt (+ h0 h1))) (log (/ 1 (cbrt h0))) (log (cbrt (+ h0 h1))) (log (cbrt h0)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (exp (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (* (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0))))) (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (* (* (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (sqrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (sqrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (* (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (sqrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1)) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt 1))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) 1)) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (sqrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (sqrt (cbrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) 1)) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt 1))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) 1)) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ 1 (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ 1 (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ 1 (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ 1 (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ 1 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log 1) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (cbrt (+ h0 h1))) (log (/ 1 (cbrt h0))) (log (cbrt (+ h0 h1))) (log (cbrt h0)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (exp (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (* (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0))))) (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (* (* (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (sqrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (sqrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (- (+ (* h2 h0) (* 1/3 (log h1))) (+ (* 1/6 (/ (pow h0 2) (pow h1 2))) (* 1/3 (log h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h2 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 h0) (* 1/3 (log h1))) (+ (* 1/6 (/ (pow h0 2) (pow h1 2))) (* 1/3 (log h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h2 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* h4 (/ 1 (pow h0 2)))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 1.565 * * [simplify]: iteration 0 : 339 enodes (cost 1480 ) 1.570 * * [simplify]: iteration 1 : 997 enodes (cost 1434 ) 1.589 * * [simplify]: iteration 2 : 5001 enodes (cost 1388 ) 1.594 * * * [progress]: adding candidates to table 2.042 * * [progress]: iteration 4 / 4 2.042 * * * [progress]: picking best candidate 2.046 * * * * [pick]: Picked # 2.046 * * * [progress]: localizing error 2.060 * * * [progress]: generating rewritten candidates 2.060 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.068 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.089 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 2.103 * * * [progress]: generating series expansions 2.104 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.104 * [backup-simplify]: Simplify (log (/ (cbrt (+ N 1.0)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 2.104 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.104 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.104 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.104 * [taylor]: Taking taylor expansion of 1/3 in N 2.104 * [backup-simplify]: Simplify 1/3 into 1/3 2.104 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.104 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.104 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of 1.0 in N 2.104 * [backup-simplify]: Simplify 1.0 into 1.0 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.105 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.105 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.106 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.106 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 2.107 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 2.107 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.107 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.107 * [taylor]: Taking taylor expansion of 1/3 in N 2.107 * [backup-simplify]: Simplify 1/3 into 1/3 2.107 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.107 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.107 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of 1.0 in N 2.107 * [backup-simplify]: Simplify 1.0 into 1.0 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.108 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.108 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.109 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.109 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 2.109 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 2.110 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.110 * [backup-simplify]: Simplify (+ 1 0) into 1 2.110 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.115 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 2.116 * [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))))) 2.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 2.117 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.123 * [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)) 2.124 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.126 * [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)))) 2.132 * [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))))) 2.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 2.136 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 2.137 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 2.137 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 2.137 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.137 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.137 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.137 * [taylor]: Taking taylor expansion of 1/3 in N 2.137 * [backup-simplify]: Simplify 1/3 into 1/3 2.137 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.137 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.137 * [taylor]: Taking taylor expansion of N in N 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.137 * [taylor]: Taking taylor expansion of N in N 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [taylor]: Taking taylor expansion of 1.0 in N 2.137 * [backup-simplify]: Simplify 1.0 into 1.0 2.138 * [backup-simplify]: Simplify (+ 1 0) into 1 2.138 * [backup-simplify]: Simplify (* 0 1) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.139 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.139 * [backup-simplify]: Simplify (log 1) into 0 2.140 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.146 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 2.146 * [backup-simplify]: Simplify (exp 0) into 1 2.147 * [backup-simplify]: Simplify (log 1) into 0 2.147 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.147 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.147 * [taylor]: Taking taylor expansion of 1/3 in N 2.147 * [backup-simplify]: Simplify 1/3 into 1/3 2.147 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.147 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.147 * [taylor]: Taking taylor expansion of N in N 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.147 * [taylor]: Taking taylor expansion of N in N 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of 1.0 in N 2.147 * [backup-simplify]: Simplify 1.0 into 1.0 2.147 * [backup-simplify]: Simplify (+ 1 0) into 1 2.148 * [backup-simplify]: Simplify (* 0 1) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.149 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.149 * [backup-simplify]: Simplify (log 1) into 0 2.149 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.156 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 2.156 * [backup-simplify]: Simplify (exp 0) into 1 2.156 * [backup-simplify]: Simplify (log 1) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 2.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 2.162 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.169 * [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 2.171 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 2.175 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 2.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 2.186 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.197 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.199 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 2.206 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 2.220 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 2.220 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.220 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 2.221 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) into (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) 2.221 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.221 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.221 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.221 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.221 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.221 * [taylor]: Taking taylor expansion of -1 in N 2.221 * [backup-simplify]: Simplify -1 into -1 2.221 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.222 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.222 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.222 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.222 * [taylor]: Taking taylor expansion of 1/3 in N 2.222 * [backup-simplify]: Simplify 1/3 into 1/3 2.222 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.222 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.222 * [taylor]: Taking taylor expansion of N in N 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.222 * [taylor]: Taking taylor expansion of 1.0 in N 2.222 * [backup-simplify]: Simplify 1.0 into 1.0 2.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.222 * [taylor]: Taking taylor expansion of N in N 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (- 1) into -1 2.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.223 * [backup-simplify]: Simplify (* 0 -1) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (- 0) into 0 2.224 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.225 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.225 * [backup-simplify]: Simplify (log -1) into (log -1) 2.226 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.227 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.228 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 2.230 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 2.230 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.230 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.230 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.230 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.230 * [taylor]: Taking taylor expansion of -1 in N 2.230 * [backup-simplify]: Simplify -1 into -1 2.230 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.231 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.231 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.231 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.231 * [taylor]: Taking taylor expansion of 1/3 in N 2.231 * [backup-simplify]: Simplify 1/3 into 1/3 2.231 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.231 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.231 * [taylor]: Taking taylor expansion of 1.0 in N 2.231 * [backup-simplify]: Simplify 1.0 into 1.0 2.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [backup-simplify]: Simplify (- 1) into -1 2.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.232 * [backup-simplify]: Simplify (* 0 -1) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.233 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.234 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.234 * [backup-simplify]: Simplify (log -1) into (log -1) 2.235 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.236 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.237 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 2.239 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 2.241 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.248 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 2.252 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 2.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 2.256 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3))) into (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 2.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 1) into -0.3333333333333333 2.271 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (- 0) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.279 * [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 2.281 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 2.287 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 2.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow -1 1/3))) (+ (* 0 (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 2.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 2)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 2) into -0.16666666666666666 2.317 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 2.319 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (pow -1 1/3) (/ 1 (cbrt -1)))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 2.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.319 * [backup-simplify]: Simplify (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) into (log (pow (/ (+ N 1.0) N) 1/6)) 2.319 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 2.319 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.319 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.319 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.319 * [taylor]: Taking taylor expansion of 1/6 in N 2.319 * [backup-simplify]: Simplify 1/6 into 1/6 2.319 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.319 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.319 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.319 * [taylor]: Taking taylor expansion of N in N 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [taylor]: Taking taylor expansion of 1.0 in N 2.319 * [backup-simplify]: Simplify 1.0 into 1.0 2.319 * [taylor]: Taking taylor expansion of N in N 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.320 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.320 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.321 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.321 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.321 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.322 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.322 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.322 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.322 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.322 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.322 * [taylor]: Taking taylor expansion of 1/6 in N 2.322 * [backup-simplify]: Simplify 1/6 into 1/6 2.322 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.322 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.322 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.322 * [taylor]: Taking taylor expansion of N in N 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [taylor]: Taking taylor expansion of 1.0 in N 2.322 * [backup-simplify]: Simplify 1.0 into 1.0 2.322 * [taylor]: Taking taylor expansion of N in N 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.323 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.323 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.324 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.324 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.324 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.325 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.325 * [backup-simplify]: Simplify (+ 1 0) into 1 2.325 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.329 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.329 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log 1.0) (log N)))) into 0.16666666666666666 2.331 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N))))) 2.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 1) into 0.16666666666666666 2.332 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.338 * [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)) 2.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.340 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 2.346 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2))))) 2.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/12 (pow 1.0 2)) 2.350 * [backup-simplify]: Simplify (/ -1/12 (pow 1.0 2)) into (/ -1/12 (pow 1.0 2)) 2.351 * [backup-simplify]: Simplify (+ (* (/ -1/12 (pow 1.0 2)) (pow N 2)) (+ (* 0.16666666666666666 N) (* 1/6 (- (log 1.0) (log N))))) into (- (+ (* 0.16666666666666666 N) (* 1/6 (log 1.0))) (+ (* 1/12 (/ (pow N 2) (pow 1.0 2))) (* 1/6 (log N)))) 2.352 * [backup-simplify]: Simplify (log (sqrt (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) 2.352 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 2.352 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.352 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.352 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.352 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.352 * [taylor]: Taking taylor expansion of 1/6 in N 2.352 * [backup-simplify]: Simplify 1/6 into 1/6 2.352 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.352 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.352 * [taylor]: Taking taylor expansion of N in N 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.352 * [taylor]: Taking taylor expansion of N in N 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [taylor]: Taking taylor expansion of 1.0 in N 2.352 * [backup-simplify]: Simplify 1.0 into 1.0 2.352 * [backup-simplify]: Simplify (+ 1 0) into 1 2.353 * [backup-simplify]: Simplify (* 0 1) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.357 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.357 * [backup-simplify]: Simplify (log 1) into 0 2.357 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.364 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.364 * [backup-simplify]: Simplify (exp 0) into 1 2.365 * [backup-simplify]: Simplify (log 1) into 0 2.365 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.365 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.365 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.365 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.365 * [taylor]: Taking taylor expansion of 1/6 in N 2.365 * [backup-simplify]: Simplify 1/6 into 1/6 2.365 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.365 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.365 * [taylor]: Taking taylor expansion of N in N 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.365 * [taylor]: Taking taylor expansion of N in N 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [backup-simplify]: Simplify (/ 1 1) into 1 2.365 * [taylor]: Taking taylor expansion of 1.0 in N 2.365 * [backup-simplify]: Simplify 1.0 into 1.0 2.365 * [backup-simplify]: Simplify (+ 1 0) into 1 2.366 * [backup-simplify]: Simplify (* 0 1) into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.367 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.367 * [backup-simplify]: Simplify (log 1) into 0 2.367 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.374 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.374 * [backup-simplify]: Simplify (exp 0) into 1 2.374 * [backup-simplify]: Simplify (log 1) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into 0.16666666666666666 2.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.16666666666666666) 1)) (pow 1 1)))) 1) into 0.16666666666666666 2.380 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.389 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.08333333333333333) 2.393 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into -0.06944444444444445 2.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.16666666666666666) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.06944444444444445) 1)) (pow 1 1)))) 2) into -0.08333333333333334 2.401 * [backup-simplify]: Simplify -0.08333333333333334 into -0.08333333333333334 2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.412 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.413 * [backup-simplify]: Simplify (+ (* 1/6 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.05555555555555555 2.421 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 3) 6)) (* (/ (pow 0.16666666666666666 1) 1) (/ (pow (- 0.08333333333333333) 1) 1)) (* (/ (pow 0.05555555555555555 1) 1)))) into 0.042438271604938266 2.435 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.16666666666666666) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.16666666666666666) 1) (pow (* 2 -0.06944444444444445) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.042438271604938266) 1)) (pow 1 1)))) 6) into 0.05555555555555555 2.435 * [backup-simplify]: Simplify 0.05555555555555555 into 0.05555555555555555 2.435 * [backup-simplify]: Simplify (+ (* 0.05555555555555555 (pow (/ 1 N) 3)) (+ (* -0.08333333333333334 (pow (/ 1 N) 2)) (* 0.16666666666666666 (/ 1 N)))) into (- (+ (* 0.05555555555555555 (/ 1 (pow N 3))) (* 0.16666666666666666 (/ 1 N))) (* 0.08333333333333334 (/ 1 (pow N 2)))) 2.435 * [backup-simplify]: Simplify (log (sqrt (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) 2.435 * [approximate]: Taking taylor expansion of (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in (N) around 0 2.435 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 2.435 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 2.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in N 2.435 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.435 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.435 * [taylor]: Taking taylor expansion of -1 in N 2.435 * [backup-simplify]: Simplify -1 into -1 2.436 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.436 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.437 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.438 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 2.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 2.439 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 2.439 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 2.439 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 2.439 * [taylor]: Taking taylor expansion of 1/6 in N 2.439 * [backup-simplify]: Simplify 1/6 into 1/6 2.439 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.439 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.439 * [taylor]: Taking taylor expansion of N in N 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.439 * [taylor]: Taking taylor expansion of 1.0 in N 2.439 * [backup-simplify]: Simplify 1.0 into 1.0 2.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.439 * [taylor]: Taking taylor expansion of N in N 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [backup-simplify]: Simplify (- 1) into -1 2.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.443 * [backup-simplify]: Simplify (* 0 -1) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.445 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.445 * [backup-simplify]: Simplify (log -1) into (log -1) 2.446 * [backup-simplify]: Simplify (* 1/6 (log -1)) into (* 1/6 (log -1)) 2.447 * [backup-simplify]: Simplify (exp (* 1/6 (log -1))) into (pow -1 1/6) 2.448 * [backup-simplify]: Simplify (* (sqrt (/ 1 (cbrt -1))) (pow -1 1/6)) into (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 2.451 * [backup-simplify]: Simplify (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) into (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) 2.451 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 2.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 2.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in N 2.451 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.451 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.451 * [taylor]: Taking taylor expansion of -1 in N 2.451 * [backup-simplify]: Simplify -1 into -1 2.451 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.452 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.452 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.454 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 2.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 2.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 2.455 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 2.455 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 2.455 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 2.455 * [taylor]: Taking taylor expansion of 1/6 in N 2.455 * [backup-simplify]: Simplify 1/6 into 1/6 2.455 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.455 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.455 * [taylor]: Taking taylor expansion of N in N 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.455 * [taylor]: Taking taylor expansion of 1.0 in N 2.455 * [backup-simplify]: Simplify 1.0 into 1.0 2.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.455 * [taylor]: Taking taylor expansion of N in N 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.456 * [backup-simplify]: Simplify (- 1) into -1 2.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.456 * [backup-simplify]: Simplify (* 0 -1) into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (- 0) into 0 2.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.458 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.458 * [backup-simplify]: Simplify (log -1) into (log -1) 2.458 * [backup-simplify]: Simplify (* 1/6 (log -1)) into (* 1/6 (log -1)) 2.459 * [backup-simplify]: Simplify (exp (* 1/6 (log -1))) into (pow -1 1/6) 2.461 * [backup-simplify]: Simplify (* (sqrt (/ 1 (cbrt -1))) (pow -1 1/6)) into (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 2.464 * [backup-simplify]: Simplify (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) into (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) 2.466 * [backup-simplify]: Simplify (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) into (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (- 0) into 0 2.467 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.474 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (log -1))) into (- 0.16666666666666666) 2.477 * [backup-simplify]: Simplify (* (exp (* 1/6 (log -1))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (pow -1 1/6)) 2.481 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) (* -0.16666666666666666 (pow -1 1/6))) (* 0 (pow -1 1/6))) into (- (* 0.16666666666666666 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) 2.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.16666666666666666 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) 1)) (pow (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 1)))) 1) into -0.16666666666666666 2.496 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (- 0) into 0 2.497 * [backup-simplify]: Simplify (+ 0 0) into 0 2.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.504 * [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 2.505 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.08333333333333333) 2.511 * [backup-simplify]: Simplify (* (exp (* 1/6 (log -1))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow -1 1/6)) 2.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 2.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 2.518 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) (* -0.06944444444444445 (pow -1 1/6))) (+ (* 0 (* -0.16666666666666666 (pow -1 1/6))) (* 0 (pow -1 1/6)))) into (- (* 0.06944444444444445 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) 2.550 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.16666666666666666 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) 2)) (pow (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.06944444444444445 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) 1)) (pow (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 1)))) 2) into -0.08333333333333334 2.550 * [backup-simplify]: Simplify -0.08333333333333334 into -0.08333333333333334 2.553 * [backup-simplify]: Simplify (+ (* -0.08333333333333334 (pow (/ 1 (- N)) 2)) (+ (* -0.16666666666666666 (/ 1 (- N))) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) into (- (+ (* 0.16666666666666666 (/ 1 N)) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) (* 0.08333333333333334 (/ 1 (pow N 2)))) 2.553 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.553 * [backup-simplify]: Simplify (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) into (log (pow (/ (+ N 1.0) N) 1/6)) 2.553 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 2.553 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.553 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.553 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.553 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.553 * [taylor]: Taking taylor expansion of 1/6 in N 2.553 * [backup-simplify]: Simplify 1/6 into 1/6 2.553 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.553 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.553 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.553 * [taylor]: Taking taylor expansion of N in N 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.554 * [taylor]: Taking taylor expansion of 1.0 in N 2.554 * [backup-simplify]: Simplify 1.0 into 1.0 2.554 * [taylor]: Taking taylor expansion of N in N 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.554 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.555 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.555 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.555 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.556 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.556 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.556 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.556 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.556 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.556 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.556 * [taylor]: Taking taylor expansion of 1/6 in N 2.556 * [backup-simplify]: Simplify 1/6 into 1/6 2.556 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.556 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.556 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.556 * [taylor]: Taking taylor expansion of N in N 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of 1.0 in N 2.556 * [backup-simplify]: Simplify 1.0 into 1.0 2.556 * [taylor]: Taking taylor expansion of N in N 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.557 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.557 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.558 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.558 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.559 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.559 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.559 * [backup-simplify]: Simplify (+ 1 0) into 1 2.560 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.563 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.564 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log 1.0) (log N)))) into 0.16666666666666666 2.566 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N))))) 2.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 1) into 0.16666666666666666 2.566 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.573 * [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)) 2.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.575 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 2.581 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2))))) 2.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/12 (pow 1.0 2)) 2.585 * [backup-simplify]: Simplify (/ -1/12 (pow 1.0 2)) into (/ -1/12 (pow 1.0 2)) 2.586 * [backup-simplify]: Simplify (+ (* (/ -1/12 (pow 1.0 2)) (pow N 2)) (+ (* 0.16666666666666666 N) (* 1/6 (- (log 1.0) (log N))))) into (- (+ (* 0.16666666666666666 N) (* 1/6 (log 1.0))) (+ (* 1/12 (/ (pow N 2) (pow 1.0 2))) (* 1/6 (log N)))) 2.587 * [backup-simplify]: Simplify (log (sqrt (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) 2.587 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 2.587 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.587 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.587 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.587 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.587 * [taylor]: Taking taylor expansion of 1/6 in N 2.587 * [backup-simplify]: Simplify 1/6 into 1/6 2.587 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.587 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.587 * [taylor]: Taking taylor expansion of N in N 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.587 * [taylor]: Taking taylor expansion of N in N 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (/ 1 1) into 1 2.587 * [taylor]: Taking taylor expansion of 1.0 in N 2.587 * [backup-simplify]: Simplify 1.0 into 1.0 2.587 * [backup-simplify]: Simplify (+ 1 0) into 1 2.588 * [backup-simplify]: Simplify (* 0 1) into 0 2.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.589 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.589 * [backup-simplify]: Simplify (log 1) into 0 2.589 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.596 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.596 * [backup-simplify]: Simplify (exp 0) into 1 2.596 * [backup-simplify]: Simplify (log 1) into 0 2.596 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.596 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.596 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.596 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.596 * [taylor]: Taking taylor expansion of 1/6 in N 2.596 * [backup-simplify]: Simplify 1/6 into 1/6 2.596 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.596 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.596 * [taylor]: Taking taylor expansion of N in N 2.596 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.597 * [taylor]: Taking taylor expansion of N in N 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ 1 1) into 1 2.597 * [taylor]: Taking taylor expansion of 1.0 in N 2.597 * [backup-simplify]: Simplify 1.0 into 1.0 2.597 * [backup-simplify]: Simplify (+ 1 0) into 1 2.597 * [backup-simplify]: Simplify (* 0 1) into 0 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.598 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.599 * [backup-simplify]: Simplify (log 1) into 0 2.599 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.606 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.606 * [backup-simplify]: Simplify (exp 0) into 1 2.606 * [backup-simplify]: Simplify (log 1) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into 0.16666666666666666 2.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.16666666666666666) 1)) (pow 1 1)))) 1) into 0.16666666666666666 2.612 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.622 * [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 2.624 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.08333333333333333) 2.628 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into -0.06944444444444445 2.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.16666666666666666) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.06944444444444445) 1)) (pow 1 1)))) 2) into -0.08333333333333334 2.636 * [backup-simplify]: Simplify -0.08333333333333334 into -0.08333333333333334 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (+ 0 0) into 0 2.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.646 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.648 * [backup-simplify]: Simplify (+ (* 1/6 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.05555555555555555 2.655 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 3) 6)) (* (/ (pow 0.16666666666666666 1) 1) (/ (pow (- 0.08333333333333333) 1) 1)) (* (/ (pow 0.05555555555555555 1) 1)))) into 0.042438271604938266 2.669 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.16666666666666666) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.16666666666666666) 1) (pow (* 2 -0.06944444444444445) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.042438271604938266) 1)) (pow 1 1)))) 6) into 0.05555555555555555 2.669 * [backup-simplify]: Simplify 0.05555555555555555 into 0.05555555555555555 2.670 * [backup-simplify]: Simplify (+ (* 0.05555555555555555 (pow (/ 1 N) 3)) (+ (* -0.08333333333333334 (pow (/ 1 N) 2)) (* 0.16666666666666666 (/ 1 N)))) into (- (+ (* 0.05555555555555555 (/ 1 (pow N 3))) (* 0.16666666666666666 (/ 1 N))) (* 0.08333333333333334 (/ 1 (pow N 2)))) 2.670 * [backup-simplify]: Simplify (log (sqrt (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) 2.670 * [approximate]: Taking taylor expansion of (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in (N) around 0 2.670 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 2.670 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 2.670 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in N 2.670 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.670 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.670 * [taylor]: Taking taylor expansion of -1 in N 2.670 * [backup-simplify]: Simplify -1 into -1 2.670 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.671 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.671 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.672 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 2.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 2.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 2.674 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 2.674 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 2.674 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 2.674 * [taylor]: Taking taylor expansion of 1/6 in N 2.674 * [backup-simplify]: Simplify 1/6 into 1/6 2.674 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.674 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.674 * [taylor]: Taking taylor expansion of N in N 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.674 * [taylor]: Taking taylor expansion of 1.0 in N 2.674 * [backup-simplify]: Simplify 1.0 into 1.0 2.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.674 * [taylor]: Taking taylor expansion of N in N 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.674 * [backup-simplify]: Simplify (- 1) into -1 2.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.675 * [backup-simplify]: Simplify (* 0 -1) into 0 2.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (- 0) into 0 2.676 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.676 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.677 * [backup-simplify]: Simplify (log -1) into (log -1) 2.677 * [backup-simplify]: Simplify (* 1/6 (log -1)) into (* 1/6 (log -1)) 2.678 * [backup-simplify]: Simplify (exp (* 1/6 (log -1))) into (pow -1 1/6) 2.680 * [backup-simplify]: Simplify (* (sqrt (/ 1 (cbrt -1))) (pow -1 1/6)) into (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 2.682 * [backup-simplify]: Simplify (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) into (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) 2.682 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 2.682 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 2.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in N 2.682 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.682 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.683 * [taylor]: Taking taylor expansion of -1 in N 2.683 * [backup-simplify]: Simplify -1 into -1 2.683 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.683 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.684 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.685 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 2.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 2.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 2.686 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 2.686 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 2.686 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 2.686 * [taylor]: Taking taylor expansion of 1/6 in N 2.686 * [backup-simplify]: Simplify 1/6 into 1/6 2.686 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.686 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.686 * [taylor]: Taking taylor expansion of N in N 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.686 * [taylor]: Taking taylor expansion of 1.0 in N 2.686 * [backup-simplify]: Simplify 1.0 into 1.0 2.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.686 * [taylor]: Taking taylor expansion of N in N 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (/ 1 1) into 1 2.687 * [backup-simplify]: Simplify (- 1) into -1 2.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.687 * [backup-simplify]: Simplify (* 0 -1) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.689 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.689 * [backup-simplify]: Simplify (log -1) into (log -1) 2.689 * [backup-simplify]: Simplify (* 1/6 (log -1)) into (* 1/6 (log -1)) 2.690 * [backup-simplify]: Simplify (exp (* 1/6 (log -1))) into (pow -1 1/6) 2.692 * [backup-simplify]: Simplify (* (sqrt (/ 1 (cbrt -1))) (pow -1 1/6)) into (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 2.695 * [backup-simplify]: Simplify (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) into (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) 2.697 * [backup-simplify]: Simplify (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) into (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))) 2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.705 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (log -1))) into (- 0.16666666666666666) 2.711 * [backup-simplify]: Simplify (* (exp (* 1/6 (log -1))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (pow -1 1/6)) 2.715 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) (* -0.16666666666666666 (pow -1 1/6))) (* 0 (pow -1 1/6))) into (- (* 0.16666666666666666 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) 2.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.16666666666666666 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) 1)) (pow (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 1)))) 1) into -0.16666666666666666 2.729 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- 0) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.737 * [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 2.739 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.08333333333333333) 2.745 * [backup-simplify]: Simplify (* (exp (* 1/6 (log -1))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow -1 1/6)) 2.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 2.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 2.751 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) (* -0.06944444444444445 (pow -1 1/6))) (+ (* 0 (* -0.16666666666666666 (pow -1 1/6))) (* 0 (pow -1 1/6)))) into (- (* 0.06944444444444445 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) 2.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.16666666666666666 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) 2)) (pow (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.06944444444444445 (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) 1)) (pow (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))) 1)))) 2) into -0.08333333333333334 2.780 * [backup-simplify]: Simplify -0.08333333333333334 into -0.08333333333333334 2.783 * [backup-simplify]: Simplify (+ (* -0.08333333333333334 (pow (/ 1 (- N)) 2)) (+ (* -0.16666666666666666 (/ 1 (- N))) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1))))))) into (- (+ (* 0.16666666666666666 (/ 1 N)) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) (* 0.08333333333333334 (/ 1 (pow N 2)))) 2.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 2.783 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.783 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.783 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.783 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.783 * [taylor]: Taking taylor expansion of 1/3 in N 2.783 * [backup-simplify]: Simplify 1/3 into 1/3 2.783 * [taylor]: Taking taylor expansion of (log N) in N 2.783 * [taylor]: Taking taylor expansion of N in N 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (log 1) into 0 2.784 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.784 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.784 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.784 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.784 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.784 * [taylor]: Taking taylor expansion of 1/3 in N 2.784 * [backup-simplify]: Simplify 1/3 into 1/3 2.784 * [taylor]: Taking taylor expansion of (log N) in N 2.784 * [taylor]: Taking taylor expansion of N in N 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (log 1) into 0 2.785 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.785 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.785 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.785 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.786 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.787 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.788 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.796 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.797 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.803 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.804 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.805 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.814 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.815 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.831 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.836 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.836 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.836 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.836 * [taylor]: Taking taylor expansion of 1/3 in N 2.836 * [backup-simplify]: Simplify 1/3 into 1/3 2.836 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.836 * [taylor]: Taking taylor expansion of N in N 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [backup-simplify]: Simplify (log 1) into 0 2.837 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.837 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.837 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.837 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.837 * [taylor]: Taking taylor expansion of 1/3 in N 2.837 * [backup-simplify]: Simplify 1/3 into 1/3 2.837 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.837 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.837 * [taylor]: Taking taylor expansion of N in N 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.838 * [backup-simplify]: Simplify (log 1) into 0 2.838 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.838 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.838 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.838 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.840 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.840 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.843 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.844 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.847 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.848 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.849 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.856 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.858 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.867 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.870 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.893 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.893 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.893 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.893 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.893 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.893 * [taylor]: Taking taylor expansion of -1 in N 2.893 * [backup-simplify]: Simplify -1 into -1 2.893 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.894 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.894 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.894 * [taylor]: Taking taylor expansion of 1/3 in N 2.894 * [backup-simplify]: Simplify 1/3 into 1/3 2.894 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.894 * [taylor]: Taking taylor expansion of N in N 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [backup-simplify]: Simplify (log 1) into 0 2.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.895 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.895 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.895 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.895 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.895 * [taylor]: Taking taylor expansion of -1 in N 2.895 * [backup-simplify]: Simplify -1 into -1 2.895 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.896 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.896 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.896 * [taylor]: Taking taylor expansion of 1/3 in N 2.896 * [backup-simplify]: Simplify 1/3 into 1/3 2.896 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.896 * [taylor]: Taking taylor expansion of N in N 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (log 1) into 0 2.897 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.897 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.897 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.897 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.898 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.899 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.900 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.905 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.909 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.911 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.912 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.918 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.919 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.921 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.923 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.932 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.935 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.937 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.961 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.964 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.964 * * * [progress]: simplifying candidates 2.968 * [simplify]: Simplifying: (log (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) 1)) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ 1 (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ 1 (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ 1 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log 1) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (log (/ 1 (cbrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (exp (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (* (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (* (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1)))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1)))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ 1 (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ 1 (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt (/ 1 (cbrt 1)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ 1 (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (sqrt (/ 1 1))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt 1)) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (/ 1 (cbrt N)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log 1) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (exp (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (* (cbrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (cbrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (* (* (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (sqrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (sqrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (* (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1)))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1)))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)))) (log (sqrt (/ 1 (cbrt (* (cbrt N) (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ 1 (cbrt (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt (/ 1 (cbrt 1)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (sqrt (/ 1 (sqrt (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (sqrt (/ 1 1))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt 1)) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (/ 1 (cbrt N)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log 1) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (exp (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (* (cbrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (cbrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (* (* (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (sqrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (sqrt (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 N) (* 1/6 (log 1.0))) (+ (* 1/12 (/ (pow N 2) (pow 1.0 2))) (* 1/6 (log N)))) (- (+ (* 0.05555555555555555 (/ 1 (pow N 3))) (* 0.16666666666666666 (/ 1 N))) (* 0.08333333333333334 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 N)) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) (* 0.08333333333333334 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 N) (* 1/6 (log 1.0))) (+ (* 1/12 (/ (pow N 2) (pow 1.0 2))) (* 1/6 (log N)))) (- (+ (* 0.05555555555555555 (/ 1 (pow N 3))) (* 0.16666666666666666 (/ 1 N))) (* 0.08333333333333334 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 N)) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) (* 0.08333333333333334 (/ 1 (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 2.969 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (sqrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1)) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt 1))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) 1)) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ (cbrt 1) (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (sqrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (sqrt (cbrt h0)))) (log (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) 1)) (log (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt 1))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) 1)) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ 1 (cbrt (* (cbrt h0) (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ 1 (cbrt (sqrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ 1 (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (log (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0)))) (log (/ 1 (sqrt (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0)))) (log (/ 1 1)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log 1) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (cbrt (+ h0 h1))) (log (/ 1 (cbrt h0))) (log (cbrt (+ h0 h1))) (log (cbrt h0)) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (exp (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (* (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0))))) (cbrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (* (* (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (sqrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (sqrt (log (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (* (cbrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (cbrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))))) (log (cbrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (* (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0)))))) (log (sqrt (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt 1)))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) 1))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt 1)))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) 1))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ 1 (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ 1 (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0))))) (log (sqrt (/ 1 (cbrt 1)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ 1 (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ 1 (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0))))) (log (sqrt (/ 1 1))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt 1)) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (/ 1 (cbrt h0)))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log 1) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (cbrt h0))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (exp (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (* (cbrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (cbrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))))) (cbrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (* (* (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (sqrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (sqrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (* (cbrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (cbrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))))) (log (cbrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (* (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0)))))) (log (sqrt (cbrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt 1)))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) 1))) (log (sqrt (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt 1) (cbrt 1)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt 1) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt 1) 1))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt 1)))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) 1))) (log (sqrt (/ (cbrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt 1)))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt h0))))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) 1))) (log (sqrt (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0)))) (log (sqrt (/ 1 (cbrt (* (cbrt h0) (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ 1 (cbrt (sqrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (sqrt h0))))) (log (sqrt (/ 1 (cbrt 1)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ 1 (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt (cbrt h0))))) (log (sqrt (/ 1 (sqrt (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt (cbrt h0))))) (log (sqrt (/ 1 1))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt 1)) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (/ 1 (cbrt h0)))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log 1) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (cbrt h0))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (exp (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (* (cbrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (cbrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))))) (cbrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (* (* (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (sqrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (sqrt (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))))) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (- (+ (* h2 h0) (* 1/3 (log h1))) (+ (* 1/6 (/ (pow h0 2) (pow h1 2))) (* 1/3 (log h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h2 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h4 h0) (* 1/6 (log h1))) (+ (* 1/12 (/ (pow h0 2) (pow h1 2))) (* 1/6 (log h0)))) (- (+ (* h5 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 h0) (* 1/6 (log h1))) (+ (* 1/12 (/ (pow h0 2) (pow h1 2))) (* 1/6 (log h0)))) (- (+ (* h5 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) (log (* (pow -1 1/6) (sqrt (/ 1 (cbrt -1)))))) (* h6 (/ 1 (pow h0 2)))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 2.977 * * [simplify]: iteration 0 : 516 enodes (cost 2470 ) 2.983 * * [simplify]: iteration 1 : 1312 enodes (cost 2407 ) 3.005 * * [simplify]: iteration 2 : 5002 enodes (cost 2358 ) 3.014 * * * [progress]: adding candidates to table 3.788 * [progress]: [Phase 3 of 3] Extracting. 3.788 * * [regime]: Finding splitpoints for: (# # # #) 3.790 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.790 * * * * [regimes]: Trying to branch on N from (# # # #) 3.812 * * * [regime]: Found split indices: #