4.945 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.047 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.077 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.078 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.078 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.079 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.079 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.083 * [backup-simplify]: Simplify 1.0 into 1.0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [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)) 0.090 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.091 * [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)))) 0.091 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.092 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (log 1) into 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (log 1) into 0 0.094 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.094 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [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)))) 0.105 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.105 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.105 * [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 0.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (log -1) into (log -1) 0.113 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.113 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.118 * [backup-simplify]: Simplify -1.0 into -1.0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [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 0.125 * [backup-simplify]: Simplify -0.5 into -0.5 0.126 * [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)))) 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.126 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.126 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.126 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (log 1) into 0 0.127 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.127 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.128 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.128 * [taylor]: Taking taylor expansion of (log N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (log 1) into 0 0.128 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.128 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.129 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.129 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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)) 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.144 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.146 * [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))) 0.146 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.146 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.149 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.149 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [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 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.165 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [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 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [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 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.178 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.179 * [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)))) 0.179 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.179 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [backup-simplify]: Simplify (log -1) into (log -1) 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ -1 1) into -1 0.181 * [backup-simplify]: Simplify (log -1) into (log -1) 0.181 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.181 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (- 1) into -1 0.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.182 * [backup-simplify]: Simplify (log -1) into (log -1) 0.182 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.182 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.182 * [taylor]: Taking taylor expansion of -1 in N 0.182 * [backup-simplify]: Simplify -1 into -1 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ -1 1) into -1 0.182 * [backup-simplify]: Simplify (log -1) into (log -1) 0.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.184 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.184 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.191 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.207 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [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 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [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 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.221 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.222 * [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)))) 0.222 * * * [progress]: simplifying candidates 0.223 * [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)))) 0.223 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (log (cbrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (log 1) (log (+ h1 h0)) (log 1) (log (+ h1 h0)) (log (+ (pow h1 3) (pow h0 3))) (log (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (log (- (* h1 h1) (* h0 h0))) (log (- h1 h0)) (log (+ h1 h0)) (log (log (+ h1 h0))) (exp (log (+ h1 h0))) (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (* (* (log (+ h1 h0)) (log (+ h1 h0))) (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (/ (+ h1 h0) h1) (log (- (log (+ h1 h0)) (log h1))) (exp (- (log (+ h1 h0)) (log h1))) (* (cbrt (- (log (+ h1 h0)) (log h1))) (cbrt (- (log (+ h1 h0)) (log h1)))) (cbrt (- (log (+ h1 h0)) (log h1))) (* (* (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1))) (- (log (+ h1 h0)) (log h1))) (sqrt (- (log (+ h1 h0)) (log h1))) (sqrt (- (log (+ h1 h0)) (log h1))) (- (pow (log (+ h1 h0)) 3) (pow (log h1) 3)) (+ (* (log (+ h1 h0)) (log (+ h1 h0))) (+ (* (log h1) (log h1)) (* (log (+ h1 h0)) (log h1)))) (- (log h1)) (- (* (log (+ h1 h0)) (log (+ h1 h0))) (* (log h1) (log h1))) (+ (log (+ h1 h0)) (log h1)) (+ (sqrt (log (+ h1 h0))) (sqrt (log h1))) (- (sqrt (log (+ h1 h0))) (sqrt (log h1))) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log (* (cbrt h1) (cbrt h1)))) (- (log (+ h1 h0)) (log (sqrt h1))) (- (log (+ h1 h0)) (log 1)) (- (log (cbrt (+ h1 h0))) (log h1)) (- (log (sqrt (+ h1 h0))) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (+ (log (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (log h1)) (+ (log (- h1 h0)) (log h1)) (- (log h1)) (- (+ (* h0 h1) (log h0)) (* 1/2 (/ (pow h1 2) (pow h0 2)))) (- (* h0 (/ 1 h1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1)))) (- (+ (* h0 (/ 1 h1)) (log -1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (- (+ (* h0 h1) (log h0)) (+ (* 1/2 (/ (pow h1 2) (pow h0 2))) (log h1))) (- (+ (* h3 (/ 1 (pow h1 3))) (* h0 (/ 1 h1))) (* h2 (/ 1 (pow h1 2)))) (- (+ (* h3 (/ 1 (pow h1 3))) (* h0 (/ 1 h1))) (* h2 (/ 1 (pow h1 2)))) 0.226 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.230 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.238 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.272 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.273 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 2 / 4 0.370 * * * [progress]: picking best candidate 0.373 * * * * [pick]: Picked # 0.373 * * * [progress]: localizing error 0.382 * * * [progress]: generating rewritten candidates 0.382 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.391 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.458 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.513 * * * [progress]: generating series expansions 0.513 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.513 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 0.513 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.513 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.514 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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)))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.522 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 0.522 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.522 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.526 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 0.526 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.526 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 0.531 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.531 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 0.531 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.531 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.531 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.531 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.531 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.531 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.531 * [taylor]: Taking taylor expansion of N in N 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of 0.5 in N 0.531 * [backup-simplify]: Simplify 0.5 into 0.5 0.531 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.531 * [taylor]: Taking taylor expansion of N in N 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.532 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.532 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.532 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.532 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.532 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.532 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of 0.5 in N 0.533 * [backup-simplify]: Simplify 0.5 into 0.5 0.533 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.533 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.534 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.536 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 0.538 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [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 0.555 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.557 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 0.558 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.558 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.558 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.558 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.558 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.558 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of 0.5 in N 0.558 * [backup-simplify]: Simplify 0.5 into 0.5 0.558 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.558 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.558 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.558 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.558 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of 0.5 in N 0.558 * [backup-simplify]: Simplify 0.5 into 0.5 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.559 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.559 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.560 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.560 * [backup-simplify]: Simplify -0.5 into -0.5 0.561 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 0.563 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.563 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.585 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 0.585 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.585 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.585 * [taylor]: Taking taylor expansion of -1 in N 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.585 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.585 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.585 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.585 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of 0.5 in N 0.585 * [backup-simplify]: Simplify 0.5 into 0.5 0.585 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.585 * [taylor]: Taking taylor expansion of -1 in N 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.585 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.585 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.585 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.585 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of 0.5 in N 0.585 * [backup-simplify]: Simplify 0.5 into 0.5 0.585 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.587 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.587 * [backup-simplify]: Simplify -0.5 into -0.5 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.588 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.589 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 0.590 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 0.590 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 0.593 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.599 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.611 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.612 * [backup-simplify]: Simplify (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.612 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.612 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.612 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.612 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.612 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.613 * [taylor]: Taking taylor expansion of 1.0 in N 0.613 * [backup-simplify]: Simplify 1.0 into 1.0 0.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.613 * [taylor]: Taking taylor expansion of 0.5 in N 0.613 * [backup-simplify]: Simplify 0.5 into 0.5 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.613 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.613 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.613 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.613 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.614 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.614 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [backup-simplify]: Simplify 1.0 into 1.0 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.615 * [taylor]: Taking taylor expansion of 0.5 in N 0.615 * [backup-simplify]: Simplify 0.5 into 0.5 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.615 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.615 * [taylor]: Taking taylor expansion of N in N 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.616 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.616 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.616 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.619 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.619 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.619 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.622 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.624 * [backup-simplify]: Simplify 1.0 into 1.0 0.624 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 0.624 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 0.624 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.624 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.625 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.625 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.625 * [taylor]: Taking taylor expansion of 1.0 in N 0.625 * [backup-simplify]: Simplify 1.0 into 1.0 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.625 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.625 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.625 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.625 * [taylor]: Taking taylor expansion of 0.5 in N 0.625 * [backup-simplify]: Simplify 0.5 into 0.5 0.625 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.625 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.625 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.625 * [taylor]: Taking taylor expansion of 1.0 in N 0.625 * [backup-simplify]: Simplify 1.0 into 1.0 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.625 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.625 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.625 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.625 * [taylor]: Taking taylor expansion of 0.5 in N 0.625 * [backup-simplify]: Simplify 0.5 into 0.5 0.625 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.627 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.627 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.627 * [backup-simplify]: Simplify 1.0 into 1.0 0.628 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.629 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.629 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.630 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.630 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.631 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.632 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.633 * [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)))) 0.634 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 0.634 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.634 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.634 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.634 * [taylor]: Taking taylor expansion of 0.5 in N 0.634 * [backup-simplify]: Simplify 0.5 into 0.5 0.634 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.634 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.634 * [taylor]: Taking taylor expansion of 1.0 in N 0.634 * [backup-simplify]: Simplify 1.0 into 1.0 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.634 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.634 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.634 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.634 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.634 * [taylor]: Taking taylor expansion of 0.5 in N 0.634 * [backup-simplify]: Simplify 0.5 into 0.5 0.634 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.634 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.634 * [taylor]: Taking taylor expansion of 1.0 in N 0.634 * [backup-simplify]: Simplify 1.0 into 1.0 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.634 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.634 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.635 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.635 * [taylor]: Taking taylor expansion of N in N 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.637 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.637 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.637 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.637 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.638 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.639 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.639 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.642 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.642 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.642 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.642 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.643 * [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)))) 0.644 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.644 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 N) 0.5) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.644 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 0.644 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.644 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.644 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.644 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (/ 1 1) into 1 0.644 * [taylor]: Taking taylor expansion of 0.5 in N 0.644 * [backup-simplify]: Simplify 0.5 into 0.5 0.644 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.644 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.644 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.644 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.645 * [taylor]: Taking taylor expansion of 0.5 in N 0.645 * [backup-simplify]: Simplify 0.5 into 0.5 0.645 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.645 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.645 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.647 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.647 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (- 0) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.652 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.656 * [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 0.657 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ (- 0.5) (* 0.3333333333333333 (/ 1 N))) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.658 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (/ 1 N)) 0.5) into (- (* 0.3333333333333333 N) 0.5) 0.658 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in (N) around 0 0.658 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.658 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.658 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.658 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.658 * [taylor]: Taking taylor expansion of N in N 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of 0.5 in N 0.658 * [backup-simplify]: Simplify 0.5 into 0.5 0.658 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.658 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.658 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.658 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.658 * [taylor]: Taking taylor expansion of N in N 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of 0.5 in N 0.658 * [backup-simplify]: Simplify 0.5 into 0.5 0.659 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.659 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.659 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.659 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.660 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.665 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.666 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.667 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (/ 1 N)) (- 0.5)) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.673 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) into (- (+ (* 0.3333333333333333 N) 0.5)) 0.673 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.673 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.673 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.673 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.673 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.673 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.673 * [taylor]: Taking taylor expansion of N in N 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [taylor]: Taking taylor expansion of 0.5 in N 0.673 * [backup-simplify]: Simplify 0.5 into 0.5 0.673 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.673 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.674 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.674 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.674 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.674 * [taylor]: Taking taylor expansion of N in N 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of 0.5 in N 0.674 * [backup-simplify]: Simplify 0.5 into 0.5 0.674 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.674 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.675 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.676 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.676 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.676 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.676 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.677 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.681 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (- 0) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (/ 1 (- N))) (- 0.5)) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.684 * * * [progress]: simplifying candidates 0.687 * [simplify]: Simplifying: (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 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1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) 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1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 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N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ (exp (/ 0.3333333333333333 N)) (exp 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.688 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) 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(log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (- 0 (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- 0 (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- 0 (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log 1) (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (log (/ 1 (pow h0 2))) (log (- (/ h2 h0) h1))) (log (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* (pow h0 2) (+ (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ 1 (pow h0 2)) (* (cbrt (- (/ h2 h0) h1)) (cbrt (- (/ h2 h0) h1)))) (* (/ 1 (pow h0 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) 1) (* (/ 1 (pow h0 2)) (+ (sqrt (/ h2 h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt h2) (sqrt h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) 1) (* (cbrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) h0) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) h0) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 h0) (- (/ h2 h0) h1)) (* (/ 1 (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* 1 (- (/ h2 h0) h1)) (* (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (/ h3 h0))) (log (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (exp (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (* (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h3)) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h0) (+ (* (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h3)) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h0) (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (+ (/ h2 h0) h1) h3)) (* (+ (/ h2 h0) h1) h0) (+ (* (* 1 (- (/ h2 h0) h1)) h0) (* (pow h0 2) h3)) (* (pow h0 2) h0) (+ (pow (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) 3) (pow (/ h3 h0) 3)) (+ (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (- (* (/ h3 h0) (/ h3 h0)) (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (- (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ h3 h0) (/ h3 h0))) (- (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (/ (exp (/ h2 h0)) (exp h1)) (log (- (/ h2 h0) h1)) (exp (- (/ h2 h0) h1)) (* (cbrt (- (/ h2 h0) h1)) (cbrt (- (/ h2 h0) h1))) (cbrt (- (/ h2 h0) h1)) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1)) (sqrt (- (/ h2 h0) h1)) (sqrt (- (/ h2 h0) h1)) (- (pow (/ h2 h0) 3) (pow h1 3)) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) (- h1) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1)) (+ (/ h2 h0) h1) (+ (sqrt (/ h2 h0)) (sqrt h1)) (- (sqrt (/ h2 h0)) (sqrt h1)) (+ (/ (sqrt h2) (sqrt h0)) (sqrt h1)) (- (/ (sqrt h2) (sqrt h0)) (sqrt h1)) (- (/ h2 h0) h1) (- h1) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 h0)) h1) (- (* h2 (/ 1 h0)) h1) (- (* h2 (/ 1 h0)) h1) 0.695 * * [simplify]: iteration 0 : 597 enodes (cost 1169 ) 0.706 * * [simplify]: iteration 1 : 2754 enodes (cost 978 ) 0.750 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 0.755 * * * [progress]: adding candidates to table 1.048 * * [progress]: iteration 3 / 4 1.048 * * * [progress]: picking best candidate 1.053 * * * * [pick]: Picked # 1.053 * * * [progress]: localizing error 1.079 * * * [progress]: generating rewritten candidates 1.079 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.358 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 2.002 * * * [progress]: generating series expansions 2.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.003 * [backup-simplify]: Simplify (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) into (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) 2.003 * [approximate]: Taking taylor expansion of (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) in (N) around 0 2.003 * [taylor]: Taking taylor expansion of (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) in N 2.003 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) in N 2.003 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 3))) in N 2.003 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.003 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.003 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.003 * [taylor]: Taking taylor expansion of N in N 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.004 * [taylor]: Taking taylor expansion of 0.125 in N 2.004 * [backup-simplify]: Simplify 0.125 into 0.125 2.004 * [taylor]: Taking taylor expansion of N in N 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.005 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.005 * [backup-simplify]: Simplify (/ 0.037037037037037035 1) into 0.037037037037037035 2.005 * [taylor]: Taking taylor expansion of (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) in N 2.005 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) in N 2.005 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 3))) in N 2.005 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.005 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.005 * [taylor]: Taking taylor expansion of N in N 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [taylor]: Taking taylor expansion of 0.125 in N 2.006 * [backup-simplify]: Simplify 0.125 into 0.125 2.006 * [taylor]: Taking taylor expansion of N in N 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.006 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.007 * [backup-simplify]: Simplify (/ 0.037037037037037035 1) into 0.037037037037037035 2.007 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 2.019 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 2.021 * [backup-simplify]: Simplify (- (/ (- 0.125) 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (- 0.125) 2.021 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.037 * [backup-simplify]: Simplify (- 0) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.040 * [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 2.041 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.045 * [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)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 2.047 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* (- 0.125) (/ 1 N)) (* 0.037037037037037035 (pow (/ 1 N) 4))) into (- (* 0.037037037037037035 (/ 1 (pow N 4))) (* 0.125 (/ 1 N))) 2.049 * [backup-simplify]: Simplify (* (* (/ 1 (pow (/ 1 N) 2)) (- (pow (/ 0.3333333333333333 (/ 1 N)) 3) (pow 0.5 3))) (/ 1 N)) into (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) 2.049 * [approximate]: Taking taylor expansion of (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) in (N) around 0 2.049 * [taylor]: Taking taylor expansion of (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) in N 2.049 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (pow N 3)) 0.125) in N 2.049 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 2.049 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.049 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.049 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.049 * [taylor]: Taking taylor expansion of N in N 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of 0.125 in N 2.049 * [backup-simplify]: Simplify 0.125 into 0.125 2.049 * [taylor]: Taking taylor expansion of N in N 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) in N 2.049 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (pow N 3)) 0.125) in N 2.049 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 2.049 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.049 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.049 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.049 * [taylor]: Taking taylor expansion of N in N 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of 0.125 in N 2.049 * [backup-simplify]: Simplify 0.125 into 0.125 2.049 * [taylor]: Taking taylor expansion of N in N 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 2.050 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 2.051 * [backup-simplify]: Simplify (* (- 0.125) 0) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (+ (* (- 0.125) 1) (* 0 0)) into (- 0.125) 2.052 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 1) (* 0 0))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.056 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 1) (* 0.037037037037037035 0)))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.057 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 1) (* 0 0))))) into 0.037037037037037035 2.060 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.062 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 1) (* 0 0)))))) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.069 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.081 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 N) 4)) (* (- 0.125) (/ 1 N))) into (- (* 0.037037037037037035 (/ 1 (pow N 4))) (* 0.125 (/ 1 N))) 2.084 * [backup-simplify]: Simplify (* (* (/ 1 (pow (/ 1 (- N)) 2)) (- (pow (/ 0.3333333333333333 (/ 1 (- N))) 3) (pow 0.5 3))) (/ 1 (- N))) into (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) 2.084 * [approximate]: Taking taylor expansion of (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) in (N) around 0 2.084 * [taylor]: Taking taylor expansion of (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) in N 2.084 * [taylor]: Taking taylor expansion of N in N 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 3)) 0.125) in N 2.084 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 2.084 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.085 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.085 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.085 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of 0.125 in N 2.085 * [backup-simplify]: Simplify 0.125 into 0.125 2.085 * [taylor]: Taking taylor expansion of (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) in N 2.085 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 3)) 0.125) in N 2.085 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 2.085 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.085 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.085 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.085 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of 0.125 in N 2.085 * [backup-simplify]: Simplify 0.125 into 0.125 2.085 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 2.085 * [backup-simplify]: Simplify (* 0 0.125) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 0.125)) into 0.125 2.086 * [backup-simplify]: Simplify 0.125 into 0.125 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 0.125))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.088 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.089 * [backup-simplify]: Simplify (+ (* 0 0.037037037037037035) (+ (* 1 0) (+ (* 0 0) (* 0 0.125)))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))) into 0.037037037037037035 2.093 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125)))))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125)))))))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))))))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125)))))))))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.117 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))))))))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 (- N)) 4)) (* 0.125 (/ 1 (- N)))) into (- (* 0.037037037037037035 (/ 1 (pow N 4))) (* 0.125 (/ 1 N))) 2.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.119 * [backup-simplify]: Simplify (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) into (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) 2.119 * [approximate]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in (N) around 0 2.119 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 2.119 * [taylor]: Taking taylor expansion of N in N 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 2.119 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 2.119 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.119 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.119 * [taylor]: Taking taylor expansion of N in N 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 2.120 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.120 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.120 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.120 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (* 1 1) into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [taylor]: Taking taylor expansion of 0.25 in N 2.120 * [backup-simplify]: Simplify 0.25 into 0.25 2.120 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 2.120 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 2.120 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.120 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 2.121 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.121 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.121 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.121 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.121 * [taylor]: Taking taylor expansion of N in N 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of 0.25 in N 2.121 * [backup-simplify]: Simplify 0.25 into 0.25 2.122 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.122 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.122 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 2.122 * [backup-simplify]: Simplify (* 0 0.1111111111111111) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.125 * [backup-simplify]: Simplify (+ (* 0 0.16666666666666666) (* 1 0.1111111111111111)) into 0.1111111111111111 2.125 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (* 0 1))) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.128 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.130 * [backup-simplify]: Simplify (+ (* 0 0.25) (+ (* 1 0.16666666666666666) (* 0 0.1111111111111111))) into 0.16666666666666666 2.130 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.25) (+ (* 0 0.16666666666666666) (* 0 0.1111111111111111)))) into 0.25 2.135 * [backup-simplify]: Simplify 0.25 into 0.25 2.135 * [backup-simplify]: Simplify (+ (* 0.25 N) (+ 0.16666666666666666 (* 0.1111111111111111 (/ 1 N)))) into (+ (* 0.1111111111111111 (/ 1 N)) (+ (* 0.25 N) 0.16666666666666666)) 2.136 * [backup-simplify]: Simplify (* (/ 1 N) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 N)))) (* (/ 0.3333333333333333 (/ 1 N)) (/ 0.3333333333333333 (/ 1 N))))) into (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) 2.136 * [approximate]: Taking taylor expansion of (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) in (N) around 0 2.136 * [taylor]: Taking taylor expansion of (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) in N 2.136 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 2.136 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.136 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.136 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.136 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 2.136 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.136 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.136 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of 0.25 in N 2.136 * [backup-simplify]: Simplify 0.25 into 0.25 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.137 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.137 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 2.137 * [taylor]: Taking taylor expansion of (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) in N 2.137 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 2.137 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.137 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.137 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.137 * [taylor]: Taking taylor expansion of (pow N 2) 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 (+ (* 0.16666666666666666 N) 0.25) in N 2.137 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.137 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.137 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 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 0.25 in N 2.137 * [backup-simplify]: Simplify 0.25 into 0.25 2.138 * [taylor]: Taking taylor expansion of N in N 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.138 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.139 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 2.139 * [backup-simplify]: Simplify 0.25 into 0.25 2.140 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 2.140 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.140 * [backup-simplify]: Simplify (+ 0 0.16666666666666666) into 0.16666666666666666 2.141 * [backup-simplify]: Simplify (- (/ 0.16666666666666666 1) (+ (* 0.25 (/ 0 1)))) into 0.16666666666666666 2.142 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.142 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.143 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.145 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 1) (+ (* 0.25 (/ 0 1)) (* 0.16666666666666666 (/ 0 1)))) into 0.1111111111111111 2.145 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.145 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (/ 1 N)) (+ 0.16666666666666666 (* 0.25 (/ 1 (/ 1 N))))) into (+ (* 0.1111111111111111 (/ 1 N)) (+ (* 0.25 N) 0.16666666666666666)) 2.145 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 (- N))))) (* (/ 0.3333333333333333 (/ 1 (- N))) (/ 0.3333333333333333 (/ 1 (- N)))))) into (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) 2.145 * [approximate]: Taking taylor expansion of (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) in (N) around 0 2.145 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) in N 2.145 * [taylor]: Taking taylor expansion of -1 in N 2.145 * [backup-simplify]: Simplify -1 into -1 2.145 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N) in N 2.145 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 2.145 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 2.145 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.145 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.145 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.145 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of 0.25 in N 2.145 * [backup-simplify]: Simplify 0.25 into 0.25 2.145 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.145 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.145 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.146 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.147 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.147 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 2.147 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) in N 2.147 * [taylor]: Taking taylor expansion of -1 in N 2.147 * [backup-simplify]: Simplify -1 into -1 2.147 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N) in N 2.147 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 2.147 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 2.147 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.147 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.147 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.147 * [taylor]: Taking taylor expansion of (pow N 2) 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 0.25 in N 2.147 * [backup-simplify]: Simplify 0.25 into 0.25 2.147 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.147 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.147 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 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 N in N 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.148 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.148 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.149 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 2.149 * [backup-simplify]: Simplify (* -1 0.25) into -0.25 2.149 * [backup-simplify]: Simplify -0.25 into -0.25 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 2.150 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 2.151 * [backup-simplify]: Simplify (+ 0 (- 0.16666666666666666)) into (- 0.16666666666666666) 2.152 * [backup-simplify]: Simplify (- (/ (- 0.16666666666666666) 1) (+ (* 0.25 (/ 0 1)))) into (- 0.16666666666666666) 2.153 * [backup-simplify]: Simplify (+ (* -1 (- 0.16666666666666666)) (* 0 0.25)) into 0.16666666666666666 2.153 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.154 * [backup-simplify]: Simplify (* 1 1) into 1 2.154 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.154 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.155 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.155 * [backup-simplify]: Simplify (- 0) into 0 2.155 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.157 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 1) (+ (* 0.25 (/ 0 1)) (* (- 0.16666666666666666) (/ 0 1)))) into 0.1111111111111111 2.158 * [backup-simplify]: Simplify (+ (* -1 0.1111111111111111) (+ (* 0 (- 0.16666666666666666)) (* 0 0.25))) into (- 0.1111111111111111) 2.159 * [backup-simplify]: Simplify (- 0.1111111111111111) into (- 0.1111111111111111) 2.159 * [backup-simplify]: Simplify (+ (* (- 0.1111111111111111) (/ 1 (- N))) (+ 0.16666666666666666 (* -0.25 (/ 1 (/ 1 (- N)))))) into (+ (* 0.1111111111111111 (/ 1 N)) (+ (* 0.25 N) 0.16666666666666666)) 2.159 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.160 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))))) into (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) 2.161 * [approximate]: Taking taylor expansion of (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) in (N) around 0 2.161 * [taylor]: Taking taylor expansion of (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) in N 2.161 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) in N 2.161 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 (/ 1 N)) in N 2.161 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.161 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.161 * [taylor]: Taking taylor expansion of N in N 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.161 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25)) in N 2.161 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.161 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.161 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.161 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.161 * [taylor]: Taking taylor expansion of N in N 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* 1 1) into 1 2.162 * [backup-simplify]: Simplify (/ 1 1) into 1 2.162 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25) in N 2.162 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 4))) in N 2.162 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.162 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.162 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 2.162 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.162 * [taylor]: Taking taylor expansion of N in N 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (* 1 1) into 1 2.162 * [backup-simplify]: Simplify (* 1 1) into 1 2.162 * [backup-simplify]: Simplify (/ 1 1) into 1 2.163 * [taylor]: Taking taylor expansion of 0.25 in N 2.163 * [backup-simplify]: Simplify 0.25 into 0.25 2.163 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 2.163 * [taylor]: Taking taylor expansion of N in N 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 2.163 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 2.163 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.163 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.163 * [taylor]: Taking taylor expansion of N in N 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.163 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 2.163 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.163 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.163 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.163 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.163 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.163 * [taylor]: Taking taylor expansion of N in N 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (/ 1 1) into 1 2.164 * [taylor]: Taking taylor expansion of 0.25 in N 2.164 * [backup-simplify]: Simplify 0.25 into 0.25 2.164 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.164 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.164 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 2.165 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 2.165 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.165 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.165 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 2.166 * [backup-simplify]: Simplify (* 0 0.1111111111111111) into 0 2.166 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.168 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.169 * [backup-simplify]: Simplify (+ (* 0 0.16666666666666666) (* 1 0.1111111111111111)) into 0.1111111111111111 2.169 * [backup-simplify]: Simplify (/ 0.037037037037037035 0.1111111111111111) into 0.3333333333333333 2.169 * [taylor]: Taking taylor expansion of (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) in N 2.169 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) in N 2.169 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 (/ 1 N)) in N 2.169 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.169 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.169 * [taylor]: Taking taylor expansion of N in N 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25)) in N 2.169 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.169 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.169 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.169 * [taylor]: Taking taylor expansion of N in N 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25) in N 2.170 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 4))) in N 2.170 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.170 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 2.170 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.170 * [taylor]: Taking taylor expansion of N in N 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.171 * [backup-simplify]: Simplify (/ 1 1) into 1 2.171 * [taylor]: Taking taylor expansion of 0.25 in N 2.171 * [backup-simplify]: Simplify 0.25 into 0.25 2.171 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 2.171 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 2.171 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.171 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (/ 1 1) into 1 2.171 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 2.171 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.171 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.171 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.171 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [taylor]: Taking taylor expansion of 0.25 in N 2.172 * [backup-simplify]: Simplify 0.25 into 0.25 2.172 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.172 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.173 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 2.173 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 2.173 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.173 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.174 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 2.174 * [backup-simplify]: Simplify (* 0 0.1111111111111111) into 0 2.174 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.177 * [backup-simplify]: Simplify (+ (* 0 0.16666666666666666) (* 1 0.1111111111111111)) into 0.1111111111111111 2.177 * [backup-simplify]: Simplify (/ 0.037037037037037035 0.1111111111111111) into 0.3333333333333333 2.177 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (* 0 1))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.183 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.184 * [backup-simplify]: Simplify (+ (* 0 0.25) (+ (* 1 0.16666666666666666) (* 0 0.1111111111111111))) into 0.16666666666666666 2.186 * [backup-simplify]: Simplify (- (/ 0 0.1111111111111111) (+ (* 0.3333333333333333 (/ 0.16666666666666666 0.1111111111111111)))) into (- 0.5) 2.186 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.187 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.190 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.25) (+ (* 0 0.16666666666666666) (* 0 0.1111111111111111)))) into 0.25 2.203 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 0.1111111111111111) (+ (* 0.3333333333333333 (/ 0.25 0.1111111111111111)) (* (- 0.5) (/ 0.16666666666666666 0.1111111111111111)))) into 1.0 2.203 * [backup-simplify]: Simplify 1.0 into 1.0 2.204 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.205 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (pow (/ 1 N) 2)) (- (pow (/ 0.3333333333333333 (/ 1 N)) 3) (pow 0.5 3))) (/ 1 N)) (* (+ (* (/ 0.3333333333333333 (/ 1 N)) (/ 0.3333333333333333 (/ 1 N))) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 (/ 1 N)) 0.5))) 1.0)) (* (/ 1 N) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 N)))) (* (/ 0.3333333333333333 (/ 1 N)) (/ 0.3333333333333333 (/ 1 N)))))) into (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) 2.205 * [approximate]: Taking taylor expansion of (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) in (N) around 0 2.205 * [taylor]: Taking taylor expansion of (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) in N 2.205 * [taylor]: Taking taylor expansion of (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25))) in N 2.205 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.205 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.205 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.205 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.205 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.205 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.205 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.205 * [taylor]: Taking taylor expansion of N in N 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.206 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.206 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.206 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.206 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.206 * [taylor]: Taking taylor expansion of N in N 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [taylor]: Taking taylor expansion of 0.25 in N 2.206 * [backup-simplify]: Simplify 0.25 into 0.25 2.206 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 2.206 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.206 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.206 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.206 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.206 * [taylor]: Taking taylor expansion of N in N 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 2.206 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.206 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.206 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.206 * [taylor]: Taking taylor expansion of N in N 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [taylor]: Taking taylor expansion of 0.25 in N 2.206 * [backup-simplify]: Simplify 0.25 into 0.25 2.206 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.207 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.207 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.207 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.207 * [backup-simplify]: Simplify (* 0 0.25) into 0 2.208 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (+ 0.04166666666666666 0) into 0.04166666666666666 2.209 * [backup-simplify]: Simplify (+ 0 0.04166666666666666) into 0.04166666666666666 2.210 * [backup-simplify]: Simplify (+ (* 0 0.04166666666666666) (* 1 0.25)) into 0.25 2.210 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.211 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.211 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.211 * [taylor]: Taking taylor expansion of (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) in N 2.211 * [taylor]: Taking taylor expansion of (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25))) in N 2.211 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.211 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.211 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.211 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.211 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.211 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.211 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.211 * [taylor]: Taking taylor expansion of N in N 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.211 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.211 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.211 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.211 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of 0.25 in N 2.211 * [backup-simplify]: Simplify 0.25 into 0.25 2.211 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 2.212 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.212 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.212 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.212 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.212 * [taylor]: Taking taylor expansion of N in N 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 2.212 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.212 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.212 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.212 * [taylor]: Taking taylor expansion of N in N 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of 0.25 in N 2.212 * [backup-simplify]: Simplify 0.25 into 0.25 2.212 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.213 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.213 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.213 * [backup-simplify]: Simplify (* 0 0.25) into 0 2.214 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (+ 0.04166666666666666 0) into 0.04166666666666666 2.215 * [backup-simplify]: Simplify (+ 0 0.04166666666666666) into 0.04166666666666666 2.216 * [backup-simplify]: Simplify (+ (* 0 0.04166666666666666) (* 1 0.25)) into 0.25 2.216 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.216 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.217 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.217 * [backup-simplify]: Simplify 1.0 into 1.0 2.217 * [backup-simplify]: Simplify (* 1 1) into 1 2.217 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.218 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.220 * [backup-simplify]: Simplify (+ (* 0 0.1111111111111111) (+ (* 1 0.04166666666666666) (* 0 0.25))) into 0.04166666666666666 2.221 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 2.221 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.222 * [backup-simplify]: Simplify (+ 0 0.16666666666666666) into 0.16666666666666666 2.223 * [backup-simplify]: Simplify (- (/ 0.04166666666666666 0.25) (+ (* 1.0 (/ 0.16666666666666666 0.25)))) into (- 0.5) 2.224 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.1111111111111111) (+ (* 0 0.04166666666666666) (* 0 0.25)))) into 0.1111111111111111 2.228 * [backup-simplify]: Simplify (* 1 1) into 1 2.229 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.229 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.233 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 0.25) (+ (* 1.0 (/ 0.1111111111111111 0.25)) (* (- 0.5) (/ 0.16666666666666666 0.25)))) into 0.3333333333333333 2.233 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.234 * [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)))) 2.235 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (pow (/ 1 (- N)) 2)) (- (pow (/ 0.3333333333333333 (/ 1 (- N))) 3) (pow 0.5 3))) (/ 1 (- N))) (* (+ (* (/ 0.3333333333333333 (/ 1 (- N))) (/ 0.3333333333333333 (/ 1 (- N)))) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 (/ 1 (- N))) 0.5))) 1.0)) (* (/ 1 (- N)) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 (- N))))) (* (/ 0.3333333333333333 (/ 1 (- N))) (/ 0.3333333333333333 (/ 1 (- N))))))) into (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) 2.235 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) in (N) around 0 2.235 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) in N 2.235 * [taylor]: Taking taylor expansion of -1 in N 2.235 * [backup-simplify]: Simplify -1 into -1 2.235 * [taylor]: Taking taylor expansion of (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N))) in N 2.235 * [taylor]: Taking taylor expansion of (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) in N 2.235 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) in N 2.235 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.235 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.235 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.235 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.235 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.235 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.235 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.236 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.236 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.236 * [taylor]: Taking taylor expansion of N in N 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [taylor]: Taking taylor expansion of 0.25 in N 2.236 * [backup-simplify]: Simplify 0.25 into 0.25 2.236 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.236 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.236 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.236 * [taylor]: Taking taylor expansion of N in N 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [taylor]: Taking taylor expansion of N in N 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 2.236 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 2.236 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.236 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.236 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.236 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.236 * [taylor]: Taking taylor expansion of N in N 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [taylor]: Taking taylor expansion of 0.25 in N 2.236 * [backup-simplify]: Simplify 0.25 into 0.25 2.236 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.236 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.236 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.236 * [taylor]: Taking taylor expansion of N in N 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.237 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.237 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.237 * [backup-simplify]: Simplify (- 0) into 0 2.237 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.238 * [backup-simplify]: Simplify (* 0.25 0) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.239 * [backup-simplify]: Simplify (- 0.04166666666666666) into (- 0.04166666666666666) 2.240 * [backup-simplify]: Simplify (+ 0 (- 0.04166666666666666)) into (- 0.04166666666666666) 2.241 * [backup-simplify]: Simplify (+ (* 0.25 1) (* (- 0.04166666666666666) 0)) into 0.25 2.241 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.242 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.242 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.243 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) in N 2.243 * [taylor]: Taking taylor expansion of -1 in N 2.243 * [backup-simplify]: Simplify -1 into -1 2.243 * [taylor]: Taking taylor expansion of (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N))) in N 2.243 * [taylor]: Taking taylor expansion of (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) in N 2.243 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) in N 2.243 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.243 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.243 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.243 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.243 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.243 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.243 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.243 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.243 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of 0.25 in N 2.243 * [backup-simplify]: Simplify 0.25 into 0.25 2.243 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.243 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.243 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 2.243 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 2.243 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.243 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.243 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.243 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of 0.25 in N 2.243 * [backup-simplify]: Simplify 0.25 into 0.25 2.243 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.243 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.243 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.244 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.244 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.244 * [backup-simplify]: Simplify (- 0) into 0 2.245 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.245 * [backup-simplify]: Simplify (* 0.25 0) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.246 * [backup-simplify]: Simplify (- 0.04166666666666666) into (- 0.04166666666666666) 2.247 * [backup-simplify]: Simplify (+ 0 (- 0.04166666666666666)) into (- 0.04166666666666666) 2.248 * [backup-simplify]: Simplify (+ (* 0.25 1) (* (- 0.04166666666666666) 0)) into 0.25 2.248 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.248 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.249 * [backup-simplify]: Simplify (- 0) into 0 2.249 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.249 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.250 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 2.250 * [backup-simplify]: Simplify -1.0 into -1.0 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.250 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.251 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.251 * [backup-simplify]: Simplify (- 0) into 0 2.252 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.254 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.04166666666666666) 1) (* 0.1111111111111111 0))) into (- 0.04166666666666666) 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 2.255 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 2.255 * [backup-simplify]: Simplify (+ 0 (- 0.16666666666666666)) into (- 0.16666666666666666) 2.258 * [backup-simplify]: Simplify (- (/ (- 0.04166666666666666) 0.25) (+ (* 1.0 (/ (- 0.16666666666666666) 0.25)))) into 0.5 2.259 * [backup-simplify]: Simplify (+ (* -1 0.5) (* 0 1.0)) into (- 0.5) 2.259 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.261 * [backup-simplify]: Simplify (- 0) into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.04166666666666666) 0) (+ (* 0.1111111111111111 1) (* 0 0)))) into 0.1111111111111111 2.265 * [backup-simplify]: Simplify (* 1 1) into 1 2.265 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.265 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.266 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.266 * [backup-simplify]: Simplify (- 0) into 0 2.266 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.269 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 0.25) (+ (* 1.0 (/ 0.1111111111111111 0.25)) (* 0.5 (/ (- 0.16666666666666666) 0.25)))) into 0.3333333333333333 2.271 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (+ (* 0 0.5) (* 0 1.0))) into (- 0.3333333333333333) 2.271 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.272 * [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)))) 2.272 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.272 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 2.272 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.272 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.273 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.273 * [taylor]: Taking taylor expansion of N in N 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.280 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 2.280 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.280 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.280 * [taylor]: Taking taylor expansion of N in N 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.280 * [taylor]: Taking taylor expansion of N in N 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.285 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 2.285 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.285 * [taylor]: Taking taylor expansion of N in N 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.285 * [taylor]: Taking taylor expansion of N in N 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (* 1 1) into 1 2.285 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.294 * * * [progress]: simplifying candidates 2.299 * [simplify]: Simplifying: (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (+ (+ (- (* (log N) 2)) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- (* (log N) 2)) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- (log (pow N 2))) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- 0 (* (log N) 2)) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- 0 (* (log N) 2)) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- 0 (log (pow N 2))) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- (log 1) (* (log N) 2)) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- (log 1) (* (log N) 2)) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (- (log 1) (log (pow N 2))) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (+ (log (/ 1 (pow N 2))) (log (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (+ (log (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (log N)) (log (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (exp (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (* (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (* (* N N) N)) (* (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (* (* N N) N)) (* (* (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))) (* (* N N) N)) (* (cbrt (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (cbrt (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N))) (cbrt (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (* (* (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (sqrt (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (sqrt (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N)) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (cbrt N) (cbrt N))) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (sqrt N)) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) 1) (* (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) N) (* (* 1 (- (pow (pow (/ 0.3333333333333333 N) 3) 3) (pow (pow 0.5 3) 3))) N) (* (* 1 (- (* (pow (/ 0.3333333333333333 N) 3) (pow (/ 0.3333333333333333 N) 3)) (* (pow 0.5 3) (pow 0.5 3)))) N) (* (* (/ 1 (pow N 2)) (- (pow (pow (/ 0.3333333333333333 N) 3) 3) (pow (pow 0.5 3) 3))) N) (* (* (/ 1 (pow N 2)) (- (* (pow (/ 0.3333333333333333 N) 3) (pow (/ 0.3333333333333333 N) 3)) (* (pow 0.5 3) (pow 0.5 3)))) N) (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (log N) (log (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))))) (log (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))))) (exp (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))))) (* (* (* N N) N) (* (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) 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(* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (+ (* (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0)) (- (* (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (- (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3))) (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (- (* h5 (/ 1 (pow h0 4))) (* h4 (/ 1 h0))) (- (* h5 (/ 1 (pow h0 4))) (* h4 (/ 1 h0))) (- (* h5 (/ 1 (pow h0 4))) (* h4 (/ 1 h0))) (+ (* h8 (/ 1 h0)) (+ (* h7 h0) h6)) (+ (* h8 (/ 1 h0)) (+ (* h7 h0) h6)) (+ (* h8 (/ 1 h0)) (+ (* h7 h0) h6)) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) 2.315 * * [simplify]: iteration 0 : 1216 enodes (cost 3170 ) 2.341 * * [simplify]: iteration 1 : 5001 enodes (cost 2885 ) 2.353 * * * [progress]: adding candidates to table 3.271 * * [progress]: iteration 4 / 4 3.271 * * * [progress]: picking best candidate 3.272 * * * * [pick]: Picked # 3.272 * * * [progress]: localizing error 3.277 * * * [progress]: generating rewritten candidates 3.277 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.283 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.302 * * * [progress]: generating series expansions 3.302 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.302 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.302 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.302 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.302 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.302 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.302 * [taylor]: Taking taylor expansion of N in N 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of 1.0 in N 3.302 * [backup-simplify]: Simplify 1.0 into 1.0 3.302 * [taylor]: Taking taylor expansion of N in N 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.303 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.304 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.304 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.304 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.304 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.304 * [taylor]: Taking taylor expansion of N in N 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [taylor]: Taking taylor expansion of 1.0 in N 3.304 * [backup-simplify]: Simplify 1.0 into 1.0 3.304 * [taylor]: Taking taylor expansion of N in N 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.304 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.305 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.305 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.306 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.306 * [backup-simplify]: Simplify (+ 1 0) into 1 3.307 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.310 * [backup-simplify]: Simplify 1.0 into 1.0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.316 * [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)) 3.317 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.318 * [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))) 3.318 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.318 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.318 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.318 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.318 * [taylor]: Taking taylor expansion of N in N 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.318 * [taylor]: Taking taylor expansion of N in N 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of 1.0 in N 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify (+ 1 0) into 1 3.319 * [backup-simplify]: Simplify (* 0 1) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.320 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.320 * [backup-simplify]: Simplify (log 1) into 0 3.320 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.321 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.321 * [taylor]: Taking taylor expansion of N in N 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.321 * [taylor]: Taking taylor expansion of N in N 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (/ 1 1) into 1 3.321 * [taylor]: Taking taylor expansion of 1.0 in N 3.321 * [backup-simplify]: Simplify 1.0 into 1.0 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.321 * [backup-simplify]: Simplify (* 0 1) into 0 3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.322 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.323 * [backup-simplify]: Simplify (log 1) into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.333 * [backup-simplify]: Simplify 1.0 into 1.0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.342 * [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 3.342 * [backup-simplify]: Simplify -0.5 into -0.5 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.353 * [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 3.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.353 * [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)))) 3.353 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.353 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.354 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.354 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.354 * [taylor]: Taking taylor expansion of -1 in N 3.354 * [backup-simplify]: Simplify -1 into -1 3.354 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.354 * [taylor]: Taking taylor expansion of N in N 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.354 * [taylor]: Taking taylor expansion of 1.0 in N 3.354 * [backup-simplify]: Simplify 1.0 into 1.0 3.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.354 * [taylor]: Taking taylor expansion of N in N 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (- 1) into -1 3.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.355 * [backup-simplify]: Simplify (* 0 -1) into 0 3.355 * [backup-simplify]: Simplify (* -1 0) into 0 3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (- 0) into 0 3.356 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.356 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.357 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.357 * [backup-simplify]: Simplify (log 1) into 0 3.357 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.357 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.357 * [taylor]: Taking taylor expansion of -1 in N 3.357 * [backup-simplify]: Simplify -1 into -1 3.357 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.357 * [taylor]: Taking taylor expansion of N in N 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.357 * [taylor]: Taking taylor expansion of 1.0 in N 3.357 * [backup-simplify]: Simplify 1.0 into 1.0 3.357 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.357 * [taylor]: Taking taylor expansion of N in N 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [backup-simplify]: Simplify (- 1) into -1 3.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.358 * [backup-simplify]: Simplify (* 0 -1) into 0 3.358 * [backup-simplify]: Simplify (* -1 0) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (- 0) into 0 3.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.360 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.360 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.360 * [backup-simplify]: Simplify (log 1) into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.364 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.368 * [backup-simplify]: Simplify -1.0 into -1.0 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (- 0) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.377 * [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 3.377 * [backup-simplify]: Simplify -0.5 into -0.5 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- 0) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.390 * [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 3.390 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.390 * [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)))) 3.390 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.390 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.390 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.390 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.390 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.390 * [taylor]: Taking taylor expansion of N in N 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [taylor]: Taking taylor expansion of 1.0 in N 3.390 * [backup-simplify]: Simplify 1.0 into 1.0 3.390 * [taylor]: Taking taylor expansion of N in N 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.391 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.391 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.391 * [taylor]: Taking taylor expansion of N in N 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [taylor]: Taking taylor expansion of 1.0 in N 3.391 * [backup-simplify]: Simplify 1.0 into 1.0 3.391 * [taylor]: Taking taylor expansion of N in N 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.392 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.392 * [backup-simplify]: Simplify 1.0 into 1.0 3.392 * [backup-simplify]: Simplify (+ 1 0) into 1 3.392 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [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 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [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 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.398 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.398 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.398 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.398 * [taylor]: Taking taylor expansion of N in N 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.398 * [taylor]: Taking taylor expansion of N in N 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [taylor]: Taking taylor expansion of 1.0 in N 3.398 * [backup-simplify]: Simplify 1.0 into 1.0 3.398 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.398 * [taylor]: Taking taylor expansion of N in N 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.398 * [taylor]: Taking taylor expansion of N in N 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of 1.0 in N 3.399 * [backup-simplify]: Simplify 1.0 into 1.0 3.399 * [backup-simplify]: Simplify (+ 1 0) into 1 3.399 * [backup-simplify]: Simplify (* 0 1) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.400 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.403 * [backup-simplify]: Simplify 1.0 into 1.0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [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 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.418 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.418 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.418 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.418 * [taylor]: Taking taylor expansion of -1 in N 3.418 * [backup-simplify]: Simplify -1 into -1 3.418 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.418 * [taylor]: Taking taylor expansion of N in N 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.418 * [taylor]: Taking taylor expansion of 1.0 in N 3.419 * [backup-simplify]: Simplify 1.0 into 1.0 3.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.419 * [taylor]: Taking taylor expansion of N in N 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.419 * [taylor]: Taking taylor expansion of -1 in N 3.419 * [backup-simplify]: Simplify -1 into -1 3.419 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.419 * [taylor]: Taking taylor expansion of N in N 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.419 * [taylor]: Taking taylor expansion of 1.0 in N 3.419 * [backup-simplify]: Simplify 1.0 into 1.0 3.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.419 * [taylor]: Taking taylor expansion of N in N 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [backup-simplify]: Simplify (- 1) into -1 3.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.420 * [backup-simplify]: Simplify (* 0 -1) into 0 3.420 * [backup-simplify]: Simplify (* -1 0) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (- 0) into 0 3.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.422 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.422 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.422 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.426 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.426 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- 0) into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- 0) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (- 0) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.437 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.437 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [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 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.444 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.444 * * * [progress]: simplifying candidates 3.445 * [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) 3.446 * [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))) (- (+ (* 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)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 3.449 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 3.453 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 3.466 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 3.541 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 3.543 * * * [progress]: adding candidates to table 3.649 * [progress]: [Phase 3 of 3] Extracting. 3.649 * * [regime]: Finding splitpoints for: (# # #) 3.650 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.650 * * * * [regimes]: Trying to branch on N from (# # #) 3.668 * * * [regime]: Found split indices: #