4.887 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.043 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.074 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.081 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.081 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (log 1) into 0 0.082 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.083 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.083 * [taylor]: Taking taylor expansion of (log N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (log 1) into 0 0.084 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.084 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.084 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.084 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [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)) 0.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.100 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.102 * [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))) 0.102 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.102 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.103 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (log 1) into 0 0.104 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (log 1) into 0 0.105 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (log 1) into 0 0.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.106 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.106 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.112 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [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 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [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 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [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 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.134 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.135 * [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)))) 0.135 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.135 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (- 1) into -1 0.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.136 * [backup-simplify]: Simplify (log -1) into (log -1) 0.136 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.136 * [taylor]: Taking taylor expansion of -1 in N 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [backup-simplify]: Simplify (log -1) into (log -1) 0.136 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.137 * [backup-simplify]: Simplify (log -1) into (log -1) 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ -1 1) into -1 0.138 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.139 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.140 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [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 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.161 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [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 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [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 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.175 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.176 * [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)))) 0.176 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.176 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.176 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [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)) 0.187 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.188 * [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)))) 0.188 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.188 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [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 0.201 * [backup-simplify]: Simplify -0.5 into -0.5 0.201 * [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)))) 0.201 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.201 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.209 * [backup-simplify]: Simplify -1.0 into -1.0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [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 0.215 * [backup-simplify]: Simplify -0.5 into -0.5 0.216 * [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)))) 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying: (/ (+ 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)) (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))) (- (+ (* 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 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)))) 0.217 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.220 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.224 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.232 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.266 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.267 * * * [progress]: adding candidates to table 0.369 * * [progress]: iteration 2 / 4 0.369 * * * [progress]: picking best candidate 0.374 * * * * [pick]: Picked # 0.374 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.385 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.409 * * * [progress]: generating series expansions 0.409 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.409 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.409 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.409 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.409 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.409 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.410 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.411 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.411 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.411 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.411 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of 1.0 in N 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [taylor]: Taking taylor expansion of N in N 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.411 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.412 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.412 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.413 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.422 * [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)) 0.423 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.424 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.424 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.424 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.424 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.424 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of 1.0 in N 0.425 * [backup-simplify]: Simplify 1.0 into 1.0 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (* 0 1) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.426 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.426 * [backup-simplify]: Simplify (log 1) into 0 0.426 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.427 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of 1.0 in N 0.427 * [backup-simplify]: Simplify 1.0 into 1.0 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (* 0 1) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.428 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.429 * [backup-simplify]: Simplify (log 1) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.434 * [backup-simplify]: Simplify 1.0 into 1.0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.441 * [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 0.441 * [backup-simplify]: Simplify -0.5 into -0.5 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.451 * [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 0.451 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.451 * [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)))) 0.452 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.452 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.452 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.452 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.452 * [taylor]: Taking taylor expansion of -1 in N 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.452 * [taylor]: Taking taylor expansion of 1.0 in N 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (- 1) into -1 0.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.453 * [backup-simplify]: Simplify (* 0 -1) into 0 0.453 * [backup-simplify]: Simplify (* -1 0) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.454 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.455 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.455 * [backup-simplify]: Simplify (log 1) into 0 0.455 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.455 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.455 * [taylor]: Taking taylor expansion of -1 in N 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.455 * [taylor]: Taking taylor expansion of 1.0 in N 0.455 * [backup-simplify]: Simplify 1.0 into 1.0 0.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.456 * [backup-simplify]: Simplify (* 0 -1) into 0 0.456 * [backup-simplify]: Simplify (* -1 0) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.458 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.458 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.458 * [backup-simplify]: Simplify (log 1) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.462 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.466 * [backup-simplify]: Simplify -1.0 into -1.0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.479 * [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 0.479 * [backup-simplify]: Simplify -0.5 into -0.5 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.482 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.491 * [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 0.491 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.492 * [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)))) 0.492 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.492 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.492 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.492 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.492 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.492 * [taylor]: Taking taylor expansion of N in N 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of 1.0 in N 0.492 * [backup-simplify]: Simplify 1.0 into 1.0 0.492 * [taylor]: Taking taylor expansion of N in N 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.492 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.492 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [backup-simplify]: Simplify 1.0 into 1.0 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.493 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.493 * [backup-simplify]: Simplify 1.0 into 1.0 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.499 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.499 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.499 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [backup-simplify]: Simplify (* 0 1) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.502 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [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 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.514 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.514 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.514 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.514 * [taylor]: Taking taylor expansion of -1 in N 0.514 * [backup-simplify]: Simplify -1 into -1 0.514 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) 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 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) 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 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.514 * [taylor]: Taking taylor expansion of -1 in N 0.514 * [backup-simplify]: Simplify -1 into -1 0.514 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) 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 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 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 (+ 0 -1) into -1 0.515 * [backup-simplify]: Simplify (* 0 -1) into 0 0.516 * [backup-simplify]: Simplify (* -1 0) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.517 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.518 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.521 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.521 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [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 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.538 * * * [progress]: simplifying candidates 0.539 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.539 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.543 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.547 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.560 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.635 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.637 * * * [progress]: adding candidates to table 0.748 * * [progress]: iteration 3 / 4 0.748 * * * [progress]: picking best candidate 0.753 * * * * [pick]: Picked # 0.753 * * * [progress]: localizing error 0.763 * * * [progress]: generating rewritten candidates 0.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.771 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.778 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.804 * * * [progress]: generating series expansions 0.804 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.804 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 0.804 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.804 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.805 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.805 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.805 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.805 * [taylor]: Taking taylor expansion of N in N 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [taylor]: Taking taylor expansion of 1.0 in N 0.805 * [backup-simplify]: Simplify 1.0 into 1.0 0.805 * [taylor]: Taking taylor expansion of N in N 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.806 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.806 * [backup-simplify]: Simplify (sqrt 0) into 0 0.807 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.807 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.807 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.807 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.807 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.808 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.808 * [taylor]: Taking taylor expansion of N in N 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [taylor]: Taking taylor expansion of 1.0 in N 0.808 * [backup-simplify]: Simplify 1.0 into 1.0 0.808 * [taylor]: Taking taylor expansion of N in N 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.808 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.808 * [backup-simplify]: Simplify (sqrt 0) into 0 0.809 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.809 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.810 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.810 * [backup-simplify]: Simplify (+ 1 0) into 1 0.811 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.813 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.826 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.827 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 0.827 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 0.827 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.827 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.827 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.827 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.827 * [taylor]: Taking taylor expansion of N in N 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.827 * [taylor]: Taking taylor expansion of N in N 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of 1.0 in N 0.827 * [backup-simplify]: Simplify 1.0 into 1.0 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.828 * [backup-simplify]: Simplify (* 0 1) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.829 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.829 * [backup-simplify]: Simplify (sqrt 1) into 1 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.832 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.833 * [backup-simplify]: Simplify (log 1) into 0 0.833 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.833 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.833 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of 1.0 in N 0.833 * [backup-simplify]: Simplify 1.0 into 1.0 0.833 * [backup-simplify]: Simplify (+ 1 0) into 1 0.834 * [backup-simplify]: Simplify (* 0 1) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.835 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.835 * [backup-simplify]: Simplify (sqrt 1) into 1 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.842 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.843 * [backup-simplify]: Simplify (log 1) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 0.846 * [backup-simplify]: Simplify 0.5 into 0.5 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 0.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 0.857 * [backup-simplify]: Simplify -0.25 into -0.25 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 0.874 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 0.874 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.874 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 0.875 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 0.875 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.875 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.875 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.875 * [taylor]: Taking taylor expansion of -1 in N 0.875 * [backup-simplify]: Simplify -1 into -1 0.875 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [backup-simplify]: Simplify 1.0 into 1.0 0.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [backup-simplify]: Simplify (- 1) into -1 0.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.876 * [backup-simplify]: Simplify (* 0 -1) into 0 0.876 * [backup-simplify]: Simplify (* -1 0) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.877 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.878 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.878 * [backup-simplify]: Simplify (sqrt 1) into 1 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- 0) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.882 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.882 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.883 * [backup-simplify]: Simplify (log 1) into 0 0.883 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.883 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.883 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.883 * [taylor]: Taking taylor expansion of -1 in N 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.883 * [taylor]: Taking taylor expansion of 1.0 in N 0.883 * [backup-simplify]: Simplify 1.0 into 1.0 0.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (- 1) into -1 0.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.884 * [backup-simplify]: Simplify (* 0 -1) into 0 0.884 * [backup-simplify]: Simplify (* -1 0) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- 0) into 0 0.885 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.885 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.886 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.886 * [backup-simplify]: Simplify (sqrt 1) into 1 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.890 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.891 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.891 * [backup-simplify]: Simplify (log 1) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 0.895 * [backup-simplify]: Simplify -0.5 into -0.5 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.899 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 0.906 * [backup-simplify]: Simplify -0.25 into -0.25 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.909 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 0.931 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 0.931 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 0.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.932 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 0.932 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.932 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.932 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.932 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.932 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of 1.0 in N 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.932 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.933 * [backup-simplify]: Simplify (sqrt 0) into 0 0.933 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.934 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.934 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.934 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.934 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.934 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of 1.0 in N 0.934 * [backup-simplify]: Simplify 1.0 into 1.0 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.934 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.935 * [backup-simplify]: Simplify (sqrt 0) into 0 0.935 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.936 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.936 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.937 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.939 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.953 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 0.953 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 0.953 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.953 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.953 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.953 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [taylor]: Taking taylor expansion of 1.0 in N 0.954 * [backup-simplify]: Simplify 1.0 into 1.0 0.954 * [backup-simplify]: Simplify (+ 1 0) into 1 0.954 * [backup-simplify]: Simplify (* 0 1) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.955 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.955 * [backup-simplify]: Simplify (sqrt 1) into 1 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.958 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.958 * [backup-simplify]: Simplify (log 1) into 0 0.958 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.958 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.958 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.958 * [taylor]: Taking taylor expansion of N in N 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [backup-simplify]: Simplify 1.0 into 1.0 0.959 * [backup-simplify]: Simplify (+ 1 0) into 1 0.959 * [backup-simplify]: Simplify (* 0 1) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.960 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.961 * [backup-simplify]: Simplify (sqrt 1) into 1 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.963 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.964 * [backup-simplify]: Simplify (log 1) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 0.967 * [backup-simplify]: Simplify 0.5 into 0.5 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 0.977 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 0.978 * [backup-simplify]: Simplify -0.25 into -0.25 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 0.995 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 0.995 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.995 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 0.995 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 0.995 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.995 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.995 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.995 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.995 * [taylor]: Taking taylor expansion of -1 in N 0.995 * [backup-simplify]: Simplify -1 into -1 0.995 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [backup-simplify]: Simplify 1.0 into 1.0 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (- 1) into -1 0.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.996 * [backup-simplify]: Simplify (* 0 -1) into 0 0.997 * [backup-simplify]: Simplify (* -1 0) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.998 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.998 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.998 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.999 * [backup-simplify]: Simplify (sqrt 1) into 1 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.002 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.003 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.003 * [backup-simplify]: Simplify (log 1) into 0 1.003 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.003 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.003 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.003 * [taylor]: Taking taylor expansion of -1 in N 1.003 * [backup-simplify]: Simplify -1 into -1 1.003 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.003 * [taylor]: Taking taylor expansion of 1.0 in N 1.003 * [backup-simplify]: Simplify 1.0 into 1.0 1.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [backup-simplify]: Simplify (- 1) into -1 1.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.004 * [backup-simplify]: Simplify (* 0 -1) into 0 1.005 * [backup-simplify]: Simplify (* -1 0) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.006 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.006 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.007 * [backup-simplify]: Simplify (sqrt 1) into 1 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.010 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.017 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.017 * [backup-simplify]: Simplify (log 1) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 1.021 * [backup-simplify]: Simplify -0.5 into -0.5 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.025 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 1.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.032 * [backup-simplify]: Simplify -0.25 into -0.25 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- 0) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 1.050 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 1.050 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.050 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.050 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.051 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 1.051 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.051 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.051 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.051 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.051 * [taylor]: Taking taylor expansion of N in N 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [taylor]: Taking taylor expansion of 1.0 in N 1.051 * [backup-simplify]: Simplify 1.0 into 1.0 1.051 * [taylor]: Taking taylor expansion of N in N 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.051 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.052 * [backup-simplify]: Simplify (sqrt 0) into 0 1.052 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.052 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.052 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.052 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [taylor]: Taking taylor expansion of 1.0 in N 1.053 * [backup-simplify]: Simplify 1.0 into 1.0 1.053 * [taylor]: Taking taylor expansion of N in N 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.053 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.053 * [backup-simplify]: Simplify (sqrt 0) into 0 1.054 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.054 * [backup-simplify]: Simplify (+ 1 0) into 1 1.055 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.057 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.057 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.059 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.060 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.060 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.060 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.060 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.060 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [taylor]: Taking taylor expansion of 1.0 in N 1.060 * [backup-simplify]: Simplify 1.0 into 1.0 1.061 * [backup-simplify]: Simplify (+ 1 0) into 1 1.061 * [backup-simplify]: Simplify (* 0 1) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.062 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.062 * [backup-simplify]: Simplify (sqrt 1) into 1 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.065 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.065 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.065 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.065 * [taylor]: Taking taylor expansion of N in N 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.065 * [taylor]: Taking taylor expansion of N in N 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of 1.0 in N 1.065 * [backup-simplify]: Simplify 1.0 into 1.0 1.066 * [backup-simplify]: Simplify (+ 1 0) into 1 1.066 * [backup-simplify]: Simplify (* 0 1) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.067 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.067 * [backup-simplify]: Simplify (sqrt 1) into 1 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.070 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify 0.5 into 0.5 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.073 * [backup-simplify]: Simplify -0.125 into -0.125 1.073 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.073 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 1.074 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.074 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.074 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.074 * [taylor]: Taking taylor expansion of -1 in N 1.074 * [backup-simplify]: Simplify -1 into -1 1.074 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.074 * [taylor]: Taking taylor expansion of N in N 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.074 * [taylor]: Taking taylor expansion of 1.0 in N 1.074 * [backup-simplify]: Simplify 1.0 into 1.0 1.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.074 * [taylor]: Taking taylor expansion of N in N 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify (- 1) into -1 1.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.075 * [backup-simplify]: Simplify (* 0 -1) into 0 1.075 * [backup-simplify]: Simplify (* -1 0) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.076 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.077 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.077 * [backup-simplify]: Simplify (sqrt 1) into 1 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.080 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.081 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.081 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.081 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.081 * [taylor]: Taking taylor expansion of -1 in N 1.081 * [backup-simplify]: Simplify -1 into -1 1.081 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [backup-simplify]: Simplify 1.0 into 1.0 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [backup-simplify]: Simplify (- 1) into -1 1.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.082 * [backup-simplify]: Simplify (* 0 -1) into 0 1.083 * [backup-simplify]: Simplify (* -1 0) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.084 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.084 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.084 * [backup-simplify]: Simplify (sqrt 1) into 1 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.088 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.089 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify -0.5 into -0.5 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.093 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 1.093 * [backup-simplify]: Simplify -0.125 into -0.125 1.093 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.094 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 1.094 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.094 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.094 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.094 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of 1.0 in N 1.094 * [backup-simplify]: Simplify 1.0 into 1.0 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.094 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.095 * [backup-simplify]: Simplify (sqrt 0) into 0 1.095 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.095 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.095 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.095 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [taylor]: Taking taylor expansion of 1.0 in N 1.096 * [backup-simplify]: Simplify 1.0 into 1.0 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.096 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.096 * [backup-simplify]: Simplify (sqrt 0) into 0 1.097 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.097 * [backup-simplify]: Simplify (+ 1 0) into 1 1.098 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.105 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.109 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.109 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.109 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.109 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.109 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of 1.0 in N 1.109 * [backup-simplify]: Simplify 1.0 into 1.0 1.110 * [backup-simplify]: Simplify (+ 1 0) into 1 1.110 * [backup-simplify]: Simplify (* 0 1) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.111 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.111 * [backup-simplify]: Simplify (sqrt 1) into 1 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.114 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.114 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.114 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.114 * [taylor]: Taking taylor expansion of N in N 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.114 * [taylor]: Taking taylor expansion of N in N 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.114 * [taylor]: Taking taylor expansion of 1.0 in N 1.114 * [backup-simplify]: Simplify 1.0 into 1.0 1.115 * [backup-simplify]: Simplify (+ 1 0) into 1 1.115 * [backup-simplify]: Simplify (* 0 1) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.116 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.116 * [backup-simplify]: Simplify (sqrt 1) into 1 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.119 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify 0.5 into 0.5 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.122 * [backup-simplify]: Simplify -0.125 into -0.125 1.122 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.123 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 1.123 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.123 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.123 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.123 * [taylor]: Taking taylor expansion of -1 in N 1.123 * [backup-simplify]: Simplify -1 into -1 1.123 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.123 * [taylor]: Taking taylor expansion of 1.0 in N 1.123 * [backup-simplify]: Simplify 1.0 into 1.0 1.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [backup-simplify]: Simplify (- 1) into -1 1.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.124 * [backup-simplify]: Simplify (* 0 -1) into 0 1.124 * [backup-simplify]: Simplify (* -1 0) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.125 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.125 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.126 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.126 * [backup-simplify]: Simplify (sqrt 1) into 1 1.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.129 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.130 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.130 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.130 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.130 * [taylor]: Taking taylor expansion of -1 in N 1.130 * [backup-simplify]: Simplify -1 into -1 1.131 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.131 * [taylor]: Taking taylor expansion of N in N 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.131 * [taylor]: Taking taylor expansion of 1.0 in N 1.131 * [backup-simplify]: Simplify 1.0 into 1.0 1.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.131 * [taylor]: Taking taylor expansion of N in N 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [backup-simplify]: Simplify (- 1) into -1 1.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.132 * [backup-simplify]: Simplify (* 0 -1) into 0 1.132 * [backup-simplify]: Simplify (* -1 0) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.133 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.133 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.134 * [backup-simplify]: Simplify (sqrt 1) into 1 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.137 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.138 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify -0.5 into -0.5 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.142 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 1.142 * [backup-simplify]: Simplify -0.125 into -0.125 1.143 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.143 * * * [progress]: simplifying candidates 1.145 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.145 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0))))) (log (cbrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))))) (log (sqrt (cbrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1))) (log (sqrt (/ (cbrt (+ h0 h1)) h0))) (log (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) 1))) (log (sqrt (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt 1)) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt (/ 1 h0))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log 1) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt h0)) (log (/ (+ h0 h1) h0)) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0)) (log (log (sqrt (/ (+ h0 h1) h0)))) (exp (log (sqrt (/ (+ h0 h1) h0)))) (* (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (cbrt (log (sqrt (/ (+ h0 h1) h0))))) (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (* (* (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (log (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0))))) (log (cbrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))))) (log (sqrt (cbrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1))) (log (sqrt (/ (cbrt (+ h0 h1)) h0))) (log (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) 1))) (log (sqrt (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt 1)) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt (/ 1 h0))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log 1) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt h0)) (log (/ (+ h0 h1) h0)) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0)) (log (log (sqrt (/ (+ h0 h1) h0)))) (exp (log (sqrt (/ (+ h0 h1) h0)))) (* (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (cbrt (log (sqrt (/ (+ h0 h1) h0))))) (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (* (* (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (+ h0 h1) h0))) (exp (sqrt (/ (+ h0 h1) h0))) (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0)))) (cbrt (sqrt (/ (+ h0 h1) h0))) (* (* (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (+ h0 h1) h0))) (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (sqrt (cbrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (sqrt (/ (cbrt (+ h0 h1)) h0)) (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) 1)) (sqrt (/ (sqrt (+ h0 h1)) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt 1) (sqrt (/ (+ h0 h1) h0)) (sqrt (+ h0 h1)) (sqrt (/ 1 h0)) (sqrt (+ h0 h1)) (sqrt h0) (/ 1 2) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (exp (sqrt (/ (+ h0 h1) h0))) (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0)))) (cbrt (sqrt (/ (+ h0 h1) h0))) (* (* (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (+ h0 h1) h0))) (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (sqrt (cbrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (sqrt (/ (cbrt (+ h0 h1)) h0)) (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) 1)) (sqrt (/ (sqrt (+ h0 h1)) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt 1) (sqrt (/ (+ h0 h1) h0)) (sqrt (+ h0 h1)) (sqrt (/ 1 h0)) (sqrt (+ h0 h1)) (sqrt h0) (/ 1 2) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) 1.150 * * [simplify]: iteration 0 : 196 enodes (cost 964 ) 1.153 * * [simplify]: iteration 1 : 456 enodes (cost 908 ) 1.161 * * [simplify]: iteration 2 : 1761 enodes (cost 868 ) 1.200 * * [simplify]: iteration 3 : 5002 enodes (cost 860 ) 1.204 * * * [progress]: adding candidates to table 1.539 * * [progress]: iteration 4 / 4 1.539 * * * [progress]: picking best candidate 1.543 * * * * [pick]: Picked # 1.543 * * * [progress]: localizing error 1.558 * * * [progress]: generating rewritten candidates 1.558 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.566 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.573 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.583 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.608 * * * [progress]: generating series expansions 1.608 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.608 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 1.608 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.608 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.608 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.608 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.608 * [taylor]: Taking taylor expansion of N in N 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of 1.0 in N 1.608 * [backup-simplify]: Simplify 1.0 into 1.0 1.608 * [taylor]: Taking taylor expansion of N in N 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.609 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.610 * [backup-simplify]: Simplify (sqrt 0) into 0 1.611 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.611 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.611 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.611 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.611 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.611 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.611 * [taylor]: Taking taylor expansion of N in N 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [taylor]: Taking taylor expansion of 1.0 in N 1.611 * [backup-simplify]: Simplify 1.0 into 1.0 1.611 * [taylor]: Taking taylor expansion of N in N 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.612 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.612 * [backup-simplify]: Simplify (sqrt 0) into 0 1.613 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.613 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.613 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.614 * [backup-simplify]: Simplify (+ 1 0) into 1 1.614 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.616 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.620 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.634 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.635 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 1.635 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 1.635 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.635 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.635 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.635 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.635 * [taylor]: Taking taylor expansion of N in N 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.635 * [taylor]: Taking taylor expansion of N in N 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of 1.0 in N 1.635 * [backup-simplify]: Simplify 1.0 into 1.0 1.636 * [backup-simplify]: Simplify (+ 1 0) into 1 1.636 * [backup-simplify]: Simplify (* 0 1) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.637 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.637 * [backup-simplify]: Simplify (sqrt 1) into 1 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.640 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.640 * [backup-simplify]: Simplify (log 1) into 0 1.640 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.641 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.641 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [taylor]: Taking taylor expansion of 1.0 in N 1.641 * [backup-simplify]: Simplify 1.0 into 1.0 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.641 * [backup-simplify]: Simplify (* 0 1) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.642 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.643 * [backup-simplify]: Simplify (sqrt 1) into 1 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.646 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.646 * [backup-simplify]: Simplify (log 1) into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 1.649 * [backup-simplify]: Simplify 0.5 into 0.5 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.660 * [backup-simplify]: Simplify -0.25 into -0.25 1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 1.677 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 1.677 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.677 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.678 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 1.678 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.678 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.678 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.678 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.678 * [taylor]: Taking taylor expansion of -1 in N 1.678 * [backup-simplify]: Simplify -1 into -1 1.678 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.678 * [taylor]: Taking taylor expansion of N in N 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.678 * [taylor]: Taking taylor expansion of 1.0 in N 1.678 * [backup-simplify]: Simplify 1.0 into 1.0 1.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.678 * [taylor]: Taking taylor expansion of N in N 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [backup-simplify]: Simplify (- 1) into -1 1.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.679 * [backup-simplify]: Simplify (* 0 -1) into 0 1.679 * [backup-simplify]: Simplify (* -1 0) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.680 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.681 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.681 * [backup-simplify]: Simplify (sqrt 1) into 1 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.684 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.685 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.686 * [backup-simplify]: Simplify (log 1) into 0 1.686 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.686 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.686 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.686 * [taylor]: Taking taylor expansion of -1 in N 1.686 * [backup-simplify]: Simplify -1 into -1 1.686 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.686 * [taylor]: Taking taylor expansion of N in N 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.686 * [taylor]: Taking taylor expansion of 1.0 in N 1.686 * [backup-simplify]: Simplify 1.0 into 1.0 1.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.686 * [taylor]: Taking taylor expansion of N in N 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (- 1) into -1 1.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.687 * [backup-simplify]: Simplify (* 0 -1) into 0 1.687 * [backup-simplify]: Simplify (* -1 0) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (- 0) into 0 1.688 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.688 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.689 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.689 * [backup-simplify]: Simplify (sqrt 1) into 1 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.692 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.693 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.694 * [backup-simplify]: Simplify (log 1) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 1.697 * [backup-simplify]: Simplify -0.5 into -0.5 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (- 0) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.701 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 1.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.714 * [backup-simplify]: Simplify -0.25 into -0.25 1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.717 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 1.732 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 1.732 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.733 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.733 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.733 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.733 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.733 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.733 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.733 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [taylor]: Taking taylor expansion of 1.0 in N 1.733 * [backup-simplify]: Simplify 1.0 into 1.0 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.734 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.734 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.734 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.734 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of 1.0 in N 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.735 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.735 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.736 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.736 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.739 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.746 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.747 * [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))) 1.747 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.747 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.747 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.747 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.747 * [taylor]: Taking taylor expansion of N in N 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.747 * [taylor]: Taking taylor expansion of N in N 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [taylor]: Taking taylor expansion of 1.0 in N 1.748 * [backup-simplify]: Simplify 1.0 into 1.0 1.748 * [backup-simplify]: Simplify (+ 1 0) into 1 1.748 * [backup-simplify]: Simplify (* 0 1) into 0 1.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.749 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.749 * [backup-simplify]: Simplify (log 1) into 0 1.749 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.749 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.749 * [taylor]: Taking taylor expansion of N in N 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.750 * [taylor]: Taking taylor expansion of 1.0 in N 1.750 * [backup-simplify]: Simplify 1.0 into 1.0 1.750 * [backup-simplify]: Simplify (+ 1 0) into 1 1.750 * [backup-simplify]: Simplify (* 0 1) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.751 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.752 * [backup-simplify]: Simplify (log 1) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.757 * [backup-simplify]: Simplify 1.0 into 1.0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.765 * [backup-simplify]: Simplify -0.5 into -0.5 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.775 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.775 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.775 * [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)))) 1.775 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.775 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.775 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.775 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.775 * [taylor]: Taking taylor expansion of -1 in N 1.775 * [backup-simplify]: Simplify -1 into -1 1.775 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.775 * [taylor]: Taking taylor expansion of N in N 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.775 * [taylor]: Taking taylor expansion of 1.0 in N 1.775 * [backup-simplify]: Simplify 1.0 into 1.0 1.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.776 * [taylor]: Taking taylor expansion of N in N 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (- 1) into -1 1.776 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.776 * [backup-simplify]: Simplify (* 0 -1) into 0 1.777 * [backup-simplify]: Simplify (* -1 0) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.778 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.778 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.779 * [backup-simplify]: Simplify (log 1) into 0 1.779 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.779 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.779 * [taylor]: Taking taylor expansion of -1 in N 1.779 * [backup-simplify]: Simplify -1 into -1 1.779 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.779 * [taylor]: Taking taylor expansion of 1.0 in N 1.779 * [backup-simplify]: Simplify 1.0 into 1.0 1.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [backup-simplify]: Simplify (- 1) into -1 1.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.780 * [backup-simplify]: Simplify (* 0 -1) into 0 1.780 * [backup-simplify]: Simplify (* -1 0) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.781 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.782 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.782 * [backup-simplify]: Simplify (log 1) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- 0) into 0 1.783 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.785 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.789 * [backup-simplify]: Simplify -1.0 into -1.0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.792 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.804 * [backup-simplify]: Simplify -0.5 into -0.5 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- 0) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.807 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.816 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 1.816 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.817 * [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)))) 1.817 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.817 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 1.817 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.817 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.817 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.817 * [taylor]: Taking taylor expansion of N in N 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [taylor]: Taking taylor expansion of 1.0 in N 1.817 * [backup-simplify]: Simplify 1.0 into 1.0 1.817 * [taylor]: Taking taylor expansion of N in N 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.818 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.818 * [backup-simplify]: Simplify (sqrt 0) into 0 1.819 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.819 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.819 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.819 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of 1.0 in N 1.819 * [backup-simplify]: Simplify 1.0 into 1.0 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.820 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.820 * [backup-simplify]: Simplify (sqrt 0) into 0 1.820 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.821 * [backup-simplify]: Simplify (+ 1 0) into 1 1.821 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.823 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.826 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.826 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.826 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.826 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.826 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.826 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.826 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [taylor]: Taking taylor expansion of 1.0 in N 1.827 * [backup-simplify]: Simplify 1.0 into 1.0 1.827 * [backup-simplify]: Simplify (+ 1 0) into 1 1.827 * [backup-simplify]: Simplify (* 0 1) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.828 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.829 * [backup-simplify]: Simplify (sqrt 1) into 1 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.831 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.831 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.831 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.832 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.832 * [taylor]: Taking taylor expansion of N in N 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [taylor]: Taking taylor expansion of 1.0 in N 1.832 * [backup-simplify]: Simplify 1.0 into 1.0 1.832 * [backup-simplify]: Simplify (+ 1 0) into 1 1.832 * [backup-simplify]: Simplify (* 0 1) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.833 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.834 * [backup-simplify]: Simplify (sqrt 1) into 1 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.836 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify 0.5 into 0.5 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.840 * [backup-simplify]: Simplify -0.125 into -0.125 1.840 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.840 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 1.840 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.840 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.840 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.840 * [taylor]: Taking taylor expansion of -1 in N 1.840 * [backup-simplify]: Simplify -1 into -1 1.840 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.840 * [taylor]: Taking taylor expansion of N in N 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.840 * [taylor]: Taking taylor expansion of 1.0 in N 1.840 * [backup-simplify]: Simplify 1.0 into 1.0 1.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.840 * [taylor]: Taking taylor expansion of N in N 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (/ 1 1) into 1 1.841 * [backup-simplify]: Simplify (- 1) into -1 1.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.841 * [backup-simplify]: Simplify (* 0 -1) into 0 1.842 * [backup-simplify]: Simplify (* -1 0) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.843 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.844 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.844 * [backup-simplify]: Simplify (sqrt 1) into 1 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.847 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.848 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.848 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.848 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.848 * [taylor]: Taking taylor expansion of -1 in N 1.848 * [backup-simplify]: Simplify -1 into -1 1.848 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.848 * [taylor]: Taking taylor expansion of N in N 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.848 * [taylor]: Taking taylor expansion of 1.0 in N 1.848 * [backup-simplify]: Simplify 1.0 into 1.0 1.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.848 * [taylor]: Taking taylor expansion of N in N 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [backup-simplify]: Simplify (- 1) into -1 1.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.849 * [backup-simplify]: Simplify (* 0 -1) into 0 1.850 * [backup-simplify]: Simplify (* -1 0) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.851 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.851 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.852 * [backup-simplify]: Simplify (sqrt 1) into 1 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.855 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.856 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify -0.5 into -0.5 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.860 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 1.860 * [backup-simplify]: Simplify -0.125 into -0.125 1.860 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.860 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.860 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 1.860 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.860 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.860 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.861 * [taylor]: Taking taylor expansion of N in N 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [taylor]: Taking taylor expansion of 1.0 in N 1.861 * [backup-simplify]: Simplify 1.0 into 1.0 1.861 * [taylor]: Taking taylor expansion of N in N 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.861 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.861 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.861 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.861 * [taylor]: Taking taylor expansion of N in N 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [taylor]: Taking taylor expansion of 1.0 in N 1.861 * [backup-simplify]: Simplify 1.0 into 1.0 1.861 * [taylor]: Taking taylor expansion of N in N 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.862 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.862 * [backup-simplify]: Simplify (+ 1 0) into 1 1.863 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [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 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [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 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.868 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 1.868 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.868 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.868 * [taylor]: Taking taylor expansion of N in N 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.868 * [taylor]: Taking taylor expansion of N in N 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [taylor]: Taking taylor expansion of 1.0 in N 1.869 * [backup-simplify]: Simplify 1.0 into 1.0 1.869 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.869 * [taylor]: Taking taylor expansion of N in N 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.869 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.869 * [taylor]: Taking taylor expansion of N in N 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [taylor]: Taking taylor expansion of 1.0 in N 1.869 * [backup-simplify]: Simplify 1.0 into 1.0 1.869 * [backup-simplify]: Simplify (+ 1 0) into 1 1.870 * [backup-simplify]: Simplify (* 0 1) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.871 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.873 * [backup-simplify]: Simplify 1.0 into 1.0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [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 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.883 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 1.883 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.883 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.883 * [taylor]: Taking taylor expansion of -1 in N 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.883 * [taylor]: Taking taylor expansion of 1.0 in N 1.883 * [backup-simplify]: Simplify 1.0 into 1.0 1.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.883 * [taylor]: Taking taylor expansion of -1 in N 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.883 * [taylor]: Taking taylor expansion of 1.0 in N 1.883 * [backup-simplify]: Simplify 1.0 into 1.0 1.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.890 * [backup-simplify]: Simplify (- 1) into -1 1.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.890 * [backup-simplify]: Simplify (* 0 -1) into 0 1.890 * [backup-simplify]: Simplify (* -1 0) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.892 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.892 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.896 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.896 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.909 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.910 * [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 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.913 * * * [progress]: simplifying candidates 1.915 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (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 (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ 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 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(/ (+ 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)) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h6 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h6 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h7 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) 1) (* h7 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 1.921 * * [simplify]: iteration 0 : 358 enodes (cost 855 ) 1.926 * * [simplify]: iteration 1 : 1064 enodes (cost 805 ) 1.944 * * [simplify]: iteration 2 : 4590 enodes (cost 773 ) 2.043 * * [simplify]: iteration 3 : 5002 enodes (cost 773 ) 2.048 * * * [progress]: adding candidates to table 2.382 * [progress]: [Phase 3 of 3] Extracting. 2.382 * * [regime]: Finding splitpoints for: (# # #) 2.383 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.383 * * * * [regimes]: Trying to branch on N from (# # #) 2.406 * * * [regime]: Found split indices: #