19.936 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.052 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.081 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.087 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.088 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.088 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.089 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.089 * [taylor]: Taking taylor expansion of (log N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (log 1) into 0 0.089 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.089 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.090 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.090 * [taylor]: Taking taylor expansion of (log N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (log 1) into 0 0.091 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.091 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.091 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.091 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.096 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [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)) 0.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.108 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.111 * [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))) 0.111 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.111 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [backup-simplify]: Simplify 1.0 into 1.0 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (log 1) into 0 0.112 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [backup-simplify]: Simplify (log 1) into 0 0.112 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (log 1) into 0 0.113 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (log 1) into 0 0.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.115 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.115 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.115 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [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 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.145 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [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 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [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 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.160 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.161 * [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)))) 0.161 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.161 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.161 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify (- 1) into -1 0.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.162 * [backup-simplify]: Simplify (log -1) into (log -1) 0.162 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.162 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.162 * [taylor]: Taking taylor expansion of -1 in N 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ -1 1) into -1 0.163 * [backup-simplify]: Simplify (log -1) into (log -1) 0.163 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (- 1) into -1 0.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.164 * [backup-simplify]: Simplify (log -1) into (log -1) 0.164 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.164 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.164 * [taylor]: Taking taylor expansion of -1 in N 0.164 * [backup-simplify]: Simplify -1 into -1 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ -1 1) into -1 0.165 * [backup-simplify]: Simplify (log -1) into (log -1) 0.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.166 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.167 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.174 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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 0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.186 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [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 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [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 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.204 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.206 * [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)))) 0.206 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.206 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.206 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.206 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.207 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.207 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.207 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of 1.0 in N 0.207 * [backup-simplify]: Simplify 1.0 into 1.0 0.207 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.207 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.208 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [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)) 0.230 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.231 * [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)))) 0.232 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.232 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.232 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.233 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of 1.0 in N 0.233 * [backup-simplify]: Simplify 1.0 into 1.0 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (log 1) into 0 0.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.234 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [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 0.246 * [backup-simplify]: Simplify -0.5 into -0.5 0.246 * [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)))) 0.246 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.246 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.246 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.246 * [taylor]: Taking taylor expansion of 1.0 in N 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.248 * [backup-simplify]: Simplify (log -1) into (log -1) 0.248 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.248 * [taylor]: Taking taylor expansion of 1.0 in N 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.249 * [backup-simplify]: Simplify (log -1) into (log -1) 0.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.250 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.254 * [backup-simplify]: Simplify -1.0 into -1.0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify -0.5 into -0.5 0.263 * [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)))) 0.263 * * * [progress]: simplifying candidates 0.263 * [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)))) 0.264 * [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))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.314 * * * [progress]: adding candidates to table 0.423 * * [progress]: iteration 2 / 4 0.423 * * * [progress]: picking best candidate 0.430 * * * * [pick]: Picked # 0.430 * * * [progress]: localizing error 0.437 * * * [progress]: generating rewritten candidates 0.437 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.445 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.467 * * * [progress]: generating series expansions 0.467 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.468 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.468 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.468 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.468 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.468 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [backup-simplify]: Simplify 1.0 into 1.0 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.470 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.470 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.470 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.470 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.470 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of 1.0 in N 0.470 * [backup-simplify]: Simplify 1.0 into 1.0 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.471 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.472 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.473 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.478 * [backup-simplify]: Simplify 1.0 into 1.0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.484 * [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)) 0.485 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.486 * [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))) 0.487 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.487 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.487 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.487 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of 1.0 in N 0.487 * [backup-simplify]: Simplify 1.0 into 1.0 0.487 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (* 0 1) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.489 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.489 * [backup-simplify]: Simplify (log 1) into 0 0.489 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.489 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.490 * [backup-simplify]: Simplify 1.0 into 1.0 0.490 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [backup-simplify]: Simplify (* 0 1) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.491 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.491 * [backup-simplify]: Simplify (log 1) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.503 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.511 * [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 0.511 * [backup-simplify]: Simplify -0.5 into -0.5 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.523 * [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 0.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.524 * [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)))) 0.524 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.524 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.524 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.524 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.524 * [taylor]: Taking taylor expansion of -1 in N 0.524 * [backup-simplify]: Simplify -1 into -1 0.524 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [backup-simplify]: Simplify (- 1) into -1 0.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.525 * [backup-simplify]: Simplify (* 0 -1) into 0 0.525 * [backup-simplify]: Simplify (* -1 0) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.527 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.527 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.527 * [backup-simplify]: Simplify (log 1) into 0 0.527 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.527 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.527 * [taylor]: Taking taylor expansion of -1 in N 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.527 * [taylor]: Taking taylor expansion of N in N 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.528 * [taylor]: Taking taylor expansion of 1.0 in N 0.528 * [backup-simplify]: Simplify 1.0 into 1.0 0.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [backup-simplify]: Simplify (- 1) into -1 0.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.529 * [backup-simplify]: Simplify (* 0 -1) into 0 0.529 * [backup-simplify]: Simplify (* -1 0) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.530 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.531 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.531 * [backup-simplify]: Simplify (log 1) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.535 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.540 * [backup-simplify]: Simplify -1.0 into -1.0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.551 * [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 0.551 * [backup-simplify]: Simplify -0.5 into -0.5 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.568 * [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 0.568 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.569 * [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)))) 0.569 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.569 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.569 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.569 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.569 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [backup-simplify]: Simplify 1.0 into 1.0 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.570 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.570 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.570 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [backup-simplify]: Simplify 1.0 into 1.0 0.570 * [taylor]: Taking taylor expansion of N in N 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.571 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.571 * [backup-simplify]: Simplify 1.0 into 1.0 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [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 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [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 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.579 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.579 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.579 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [backup-simplify]: Simplify 1.0 into 1.0 0.580 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [backup-simplify]: Simplify 1.0 into 1.0 0.580 * [backup-simplify]: Simplify (+ 1 0) into 1 0.581 * [backup-simplify]: Simplify (* 0 1) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.582 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [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 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [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 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.606 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.606 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.607 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.607 * [taylor]: Taking taylor expansion of -1 in N 0.607 * [backup-simplify]: Simplify -1 into -1 0.607 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.607 * [taylor]: Taking taylor expansion of -1 in N 0.607 * [backup-simplify]: Simplify -1 into -1 0.607 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.608 * [backup-simplify]: Simplify (- 1) into -1 0.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.608 * [backup-simplify]: Simplify (* 0 -1) into 0 0.609 * [backup-simplify]: Simplify (* -1 0) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.610 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.610 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.610 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.614 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.615 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [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 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [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 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.634 * * * [progress]: simplifying candidates 0.635 * [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) 0.635 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.739 * * * [progress]: adding candidates to table 0.861 * * [progress]: iteration 3 / 4 0.861 * * * [progress]: picking best candidate 0.866 * * * * [pick]: Picked # 0.866 * * * [progress]: localizing error 0.873 * * * [progress]: generating rewritten candidates 0.873 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.884 * * * [progress]: generating series expansions 0.885 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.885 * [backup-simplify]: Simplify (log (+ (* 1.0 (/ 1 N)) 1)) into (log (+ (* 1.0 (/ 1 N)) 1)) 0.885 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0 0.885 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.885 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.885 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.885 * [taylor]: Taking taylor expansion of 1.0 in N 0.885 * [backup-simplify]: Simplify 1.0 into 1.0 0.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.885 * [taylor]: Taking taylor expansion of N in N 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of 1 in N 0.885 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.886 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.886 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.886 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.886 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.886 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.886 * [taylor]: Taking taylor expansion of 1.0 in N 0.886 * [backup-simplify]: Simplify 1.0 into 1.0 0.886 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.886 * [taylor]: Taking taylor expansion of N in N 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [taylor]: Taking taylor expansion of 1 in N 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.887 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.888 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.888 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify (+ 0 1) into 1 0.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.893 * [backup-simplify]: Simplify 1.0 into 1.0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [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)) 0.901 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.902 * [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))) 0.902 * [backup-simplify]: Simplify (log (+ (* 1.0 (/ 1 (/ 1 N))) 1)) into (log (+ (* 1.0 N) 1)) 0.902 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in (N) around 0 0.902 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.902 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.902 * [taylor]: Taking taylor expansion of 1.0 in N 0.902 * [backup-simplify]: Simplify 1.0 into 1.0 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of 1 in N 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.903 * [backup-simplify]: Simplify (+ 0 1) into 1 0.903 * [backup-simplify]: Simplify (log 1) into 0 0.903 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.903 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.903 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.903 * [taylor]: Taking taylor expansion of 1.0 in N 0.903 * [backup-simplify]: Simplify 1.0 into 1.0 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [taylor]: Taking taylor expansion of 1 in N 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.904 * [backup-simplify]: Simplify (+ 0 1) into 1 0.904 * [backup-simplify]: Simplify (log 1) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.905 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.914 * [backup-simplify]: Simplify 1.0 into 1.0 0.915 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [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 0.922 * [backup-simplify]: Simplify -0.5 into -0.5 0.922 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [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 0.933 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.933 * [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)))) 0.933 * [backup-simplify]: Simplify (log (+ (* 1.0 (/ 1 (/ 1 (- N)))) 1)) into (log (- 1 (* 1.0 N))) 0.933 * [approximate]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in (N) around 0 0.933 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.933 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.933 * [taylor]: Taking taylor expansion of 1 in N 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.933 * [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 (* 1.0 0) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [backup-simplify]: Simplify (+ 1 0) into 1 0.935 * [backup-simplify]: Simplify (log 1) into 0 0.935 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.935 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.935 * [taylor]: Taking taylor expansion of 1 in N 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.935 * [taylor]: Taking taylor expansion of 1.0 in N 0.935 * [backup-simplify]: Simplify 1.0 into 1.0 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify (log 1) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.937 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.938 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.942 * [backup-simplify]: Simplify -1.0 into -1.0 0.943 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [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 0.952 * [backup-simplify]: Simplify -0.5 into -0.5 0.953 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.954 * [backup-simplify]: Simplify (- 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [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 0.966 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.967 * [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)))) 0.967 * * * [progress]: simplifying candidates 0.968 * [simplify]: Simplifying: (log (* (cbrt (+ (* 1.0 (/ 1 N)) 1)) (cbrt (+ (* 1.0 (/ 1 N)) 1)))) (log (cbrt (+ (* 1.0 (/ 1 N)) 1))) (log (sqrt (+ (* 1.0 (/ 1 N)) 1))) (log (sqrt (+ (* 1.0 (/ 1 N)) 1))) (log 1) (log (+ (* 1.0 (/ 1 N)) 1)) (log (+ (pow (* 1.0 (/ 1 N)) 3) (pow 1 3))) (log (+ (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (- (* 1 1) (* (* 1.0 (/ 1 N)) 1)))) (log (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* 1 1))) (log (- (* 1.0 (/ 1 N)) 1)) (log (+ (* 1.0 (/ 1 N)) 1)) (log (log (+ (* 1.0 (/ 1 N)) 1))) (exp (log (+ (* 1.0 (/ 1 N)) 1))) (* (cbrt (log (+ (* 1.0 (/ 1 N)) 1))) (cbrt (log (+ (* 1.0 (/ 1 N)) 1)))) (cbrt (log (+ (* 1.0 (/ 1 N)) 1))) (* (* (log (+ (* 1.0 (/ 1 N)) 1)) (log (+ (* 1.0 (/ 1 N)) 1))) (log (+ (* 1.0 (/ 1 N)) 1))) (sqrt (log (+ (* 1.0 (/ 1 N)) 1))) (sqrt (log (+ (* 1.0 (/ 1 N)) 1))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.968 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ (* h1 (/ 1 h0)) 1)) (cbrt (+ (* h1 (/ 1 h0)) 1)))) (log (cbrt (+ (* h1 (/ 1 h0)) 1))) (log (sqrt (+ (* h1 (/ 1 h0)) 1))) (log (sqrt (+ (* h1 (/ 1 h0)) 1))) (log 1) (log (+ (* h1 (/ 1 h0)) 1)) (log (+ (pow (* h1 (/ 1 h0)) 3) (pow 1 3))) (log (+ (* (* h1 (/ 1 h0)) (* h1 (/ 1 h0))) (- (* 1 1) (* (* h1 (/ 1 h0)) 1)))) (log (- (* (* h1 (/ 1 h0)) (* h1 (/ 1 h0))) (* 1 1))) (log (- (* h1 (/ 1 h0)) 1)) (log (+ (* h1 (/ 1 h0)) 1)) (log (log (+ (* h1 (/ 1 h0)) 1))) (exp (log (+ (* h1 (/ 1 h0)) 1))) (* (cbrt (log (+ (* h1 (/ 1 h0)) 1))) (cbrt (log (+ (* h1 (/ 1 h0)) 1)))) (cbrt (log (+ (* h1 (/ 1 h0)) 1))) (* (* (log (+ (* h1 (/ 1 h0)) 1)) (log (+ (* h1 (/ 1 h0)) 1))) (log (+ (* h1 (/ 1 h0)) 1))) (sqrt (log (+ (* h1 (/ 1 h0)) 1))) (sqrt (log (+ (* h1 (/ 1 h0)) 1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 1.043 * * * [progress]: adding candidates to table 1.369 * * [progress]: iteration 4 / 4 1.369 * * * [progress]: picking best candidate 1.374 * * * * [pick]: Picked # 1.374 * * * [progress]: localizing error 1.387 * * * [progress]: generating rewritten candidates 1.387 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.411 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.447 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.469 * * * [progress]: generating series expansions 1.469 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.469 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 1.469 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 1.469 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.469 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.469 * [taylor]: Taking taylor expansion of N in N 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [taylor]: Taking taylor expansion of 1.0 in N 1.469 * [backup-simplify]: Simplify 1.0 into 1.0 1.470 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.470 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.471 * [backup-simplify]: Simplify (+ 1 0) into 1 1.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.472 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.472 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.472 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.472 * [taylor]: Taking taylor expansion of N in N 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.473 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.473 * [taylor]: Taking taylor expansion of N in N 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of 1.0 in N 1.473 * [backup-simplify]: Simplify 1.0 into 1.0 1.473 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.473 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.474 * [backup-simplify]: Simplify (+ 1 0) into 1 1.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.475 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.476 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.476 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.476 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.476 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.476 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.476 * [taylor]: Taking taylor expansion of N in N 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [taylor]: Taking taylor expansion of 1.0 in N 1.476 * [backup-simplify]: Simplify 1.0 into 1.0 1.476 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.476 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.477 * [backup-simplify]: Simplify (+ 1 0) into 1 1.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.478 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.478 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.478 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of 1.0 in N 1.479 * [backup-simplify]: Simplify 1.0 into 1.0 1.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.480 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.480 * [backup-simplify]: Simplify (+ 1 0) into 1 1.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.481 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.482 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.483 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.484 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.485 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.507 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 1.508 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.527 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.565 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.567 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.571 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 1.572 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 1.572 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.572 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.572 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ 1 1) into 1 1.572 * [taylor]: Taking taylor expansion of 1.0 in N 1.572 * [backup-simplify]: Simplify 1.0 into 1.0 1.572 * [backup-simplify]: Simplify (+ 1 0) into 1 1.573 * [backup-simplify]: Simplify (sqrt 0) into 0 1.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.574 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.574 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.574 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.574 * [taylor]: Taking taylor expansion of N in N 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.574 * [taylor]: Taking taylor expansion of N in N 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [taylor]: Taking taylor expansion of 1.0 in N 1.574 * [backup-simplify]: Simplify 1.0 into 1.0 1.574 * [backup-simplify]: Simplify (+ 1 0) into 1 1.575 * [backup-simplify]: Simplify (sqrt 0) into 0 1.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.576 * [backup-simplify]: Simplify (* 0 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.579 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.580 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.581 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.581 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.581 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [backup-simplify]: Simplify 1.0 into 1.0 1.582 * [backup-simplify]: Simplify (+ 1 0) into 1 1.582 * [backup-simplify]: Simplify (sqrt 0) into 0 1.583 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.583 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.583 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.583 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.583 * [taylor]: Taking taylor expansion of N in N 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.583 * [taylor]: Taking taylor expansion of N in N 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (/ 1 1) into 1 1.583 * [taylor]: Taking taylor expansion of 1.0 in N 1.583 * [backup-simplify]: Simplify 1.0 into 1.0 1.584 * [backup-simplify]: Simplify (+ 1 0) into 1 1.584 * [backup-simplify]: Simplify (sqrt 0) into 0 1.585 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.585 * [backup-simplify]: Simplify (* 0 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.588 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.590 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.590 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.591 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.592 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.593 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.595 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.605 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.611 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.611 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.623 * [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 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.631 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.649 * [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 1.649 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.649 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.651 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.651 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 1.651 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.651 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.651 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.651 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.651 * [taylor]: Taking taylor expansion of 1.0 in N 1.651 * [backup-simplify]: Simplify 1.0 into 1.0 1.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.651 * [taylor]: Taking taylor expansion of N in N 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.652 * [backup-simplify]: Simplify (- 1) into -1 1.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.652 * [backup-simplify]: Simplify (sqrt 0) into 0 1.653 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.653 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.653 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.653 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.653 * [taylor]: Taking taylor expansion of -1 in N 1.653 * [backup-simplify]: Simplify -1 into -1 1.653 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.653 * [taylor]: Taking taylor expansion of N in N 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.653 * [taylor]: Taking taylor expansion of 1.0 in N 1.654 * [backup-simplify]: Simplify 1.0 into 1.0 1.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.654 * [taylor]: Taking taylor expansion of N in N 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [backup-simplify]: Simplify (- 1) into -1 1.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.655 * [backup-simplify]: Simplify (sqrt 0) into 0 1.656 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.656 * [backup-simplify]: Simplify (* 0 0) into 0 1.656 * [backup-simplify]: Simplify (* -1 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.657 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.661 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.663 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.664 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.665 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.665 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.665 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.665 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.665 * [taylor]: Taking taylor expansion of 1.0 in N 1.665 * [backup-simplify]: Simplify 1.0 into 1.0 1.665 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.665 * [taylor]: Taking taylor expansion of N in N 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [backup-simplify]: Simplify (- 1) into -1 1.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.666 * [backup-simplify]: Simplify (sqrt 0) into 0 1.667 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.667 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.667 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.667 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.667 * [taylor]: Taking taylor expansion of -1 in N 1.667 * [backup-simplify]: Simplify -1 into -1 1.667 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.667 * [taylor]: Taking taylor expansion of N in N 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.667 * [taylor]: Taking taylor expansion of 1.0 in N 1.667 * [backup-simplify]: Simplify 1.0 into 1.0 1.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.667 * [taylor]: Taking taylor expansion of N in N 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [backup-simplify]: Simplify (- 1) into -1 1.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.668 * [backup-simplify]: Simplify (sqrt 0) into 0 1.669 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.669 * [backup-simplify]: Simplify (* 0 0) into 0 1.670 * [backup-simplify]: Simplify (* -1 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.671 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.673 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.675 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.676 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.677 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.678 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.679 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.679 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.680 * [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 1.682 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.691 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.693 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.698 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.698 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.710 * [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 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.716 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.717 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.735 * [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 1.735 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.736 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.737 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.737 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.737 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 1.737 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.737 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.737 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.737 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.737 * [taylor]: Taking taylor expansion of N in N 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of 1.0 in N 1.738 * [backup-simplify]: Simplify 1.0 into 1.0 1.738 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.738 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.738 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.740 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.740 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.740 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.740 * [taylor]: Taking taylor expansion of N in N 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [taylor]: Taking taylor expansion of 1.0 in N 1.740 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.741 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.741 * [backup-simplify]: Simplify (+ 1 0) into 1 1.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.742 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.743 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.753 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.776 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.778 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 1.779 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 1.779 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.779 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 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 * [taylor]: Taking taylor expansion of 1.0 in N 1.779 * [backup-simplify]: Simplify 1.0 into 1.0 1.779 * [backup-simplify]: Simplify (+ 1 0) into 1 1.780 * [backup-simplify]: Simplify (sqrt 0) into 0 1.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.781 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.781 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.781 * [taylor]: Taking taylor expansion of N in N 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [taylor]: Taking taylor expansion of 1.0 in N 1.782 * [backup-simplify]: Simplify 1.0 into 1.0 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.783 * [backup-simplify]: Simplify (sqrt 0) into 0 1.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.784 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.784 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.787 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.802 * [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 1.803 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.803 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 1.803 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 1.803 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.803 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.803 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.803 * [taylor]: Taking taylor expansion of 1.0 in N 1.803 * [backup-simplify]: Simplify 1.0 into 1.0 1.803 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.803 * [taylor]: Taking taylor expansion of N in N 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify (- 1) into -1 1.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.804 * [backup-simplify]: Simplify (sqrt 0) into 0 1.805 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.805 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.805 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.805 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.805 * [taylor]: Taking taylor expansion of 1.0 in N 1.805 * [backup-simplify]: Simplify 1.0 into 1.0 1.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (/ 1 1) into 1 1.806 * [backup-simplify]: Simplify (- 1) into -1 1.806 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.807 * [backup-simplify]: Simplify (sqrt 0) into 0 1.807 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.808 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.808 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.811 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.832 * [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 1.832 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.833 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 1.833 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.833 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 1.833 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.833 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.833 * [taylor]: Taking taylor expansion of N in N 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.833 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.834 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.834 * [taylor]: Taking taylor expansion of N in N 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [taylor]: Taking taylor expansion of 1.0 in N 1.834 * [backup-simplify]: Simplify 1.0 into 1.0 1.834 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.834 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.834 * [backup-simplify]: Simplify (+ 1 0) into 1 1.835 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.835 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.835 * [taylor]: Taking taylor expansion of N in N 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.836 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [taylor]: Taking taylor expansion of 1.0 in N 1.836 * [backup-simplify]: Simplify 1.0 into 1.0 1.836 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.836 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.837 * [backup-simplify]: Simplify (+ 1 0) into 1 1.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.838 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.838 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.842 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.852 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.855 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) N) (+ (/ 1/2 (sqrt 1.0)) (* (sqrt 1.0) (/ 1 N)))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) 1.855 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 1.855 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.855 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of 1.0 in N 1.856 * [backup-simplify]: Simplify 1.0 into 1.0 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (sqrt 0) into 0 1.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.858 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [taylor]: Taking taylor expansion of 1.0 in N 1.858 * [backup-simplify]: Simplify 1.0 into 1.0 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.859 * [backup-simplify]: Simplify (sqrt 0) into 0 1.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.860 * [backup-simplify]: Simplify (* 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.863 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.865 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.865 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.870 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.870 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.878 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.878 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.879 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.880 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 1.880 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.880 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.880 * [taylor]: Taking taylor expansion of -1 in N 1.880 * [backup-simplify]: Simplify -1 into -1 1.880 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.880 * [taylor]: Taking taylor expansion of 1.0 in N 1.880 * [backup-simplify]: Simplify 1.0 into 1.0 1.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (- 1) into -1 1.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.881 * [backup-simplify]: Simplify (sqrt 0) into 0 1.882 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.882 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.882 * [taylor]: Taking taylor expansion of -1 in N 1.882 * [backup-simplify]: Simplify -1 into -1 1.882 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.882 * [taylor]: Taking taylor expansion of N in N 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.882 * [taylor]: Taking taylor expansion of 1.0 in N 1.882 * [backup-simplify]: Simplify 1.0 into 1.0 1.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.882 * [taylor]: Taking taylor expansion of N in N 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [backup-simplify]: Simplify (- 1) into -1 1.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.883 * [backup-simplify]: Simplify (sqrt 0) into 0 1.884 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.884 * [backup-simplify]: Simplify (* 0 0) into 0 1.885 * [backup-simplify]: Simplify (* -1 0) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.889 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.891 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.892 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.892 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.893 * [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 1.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.898 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.900 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.907 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.909 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.910 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.911 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.911 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.911 * [backup-simplify]: Simplify (sqrt (+ N 1.0)) into (sqrt (+ N 1.0)) 1.911 * [approximate]: Taking taylor expansion of (sqrt (+ N 1.0)) in (N) around 0 1.911 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.911 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.911 * [taylor]: Taking taylor expansion of N in N 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [taylor]: Taking taylor expansion of 1.0 in N 1.911 * [backup-simplify]: Simplify 1.0 into 1.0 1.912 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.912 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.912 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.913 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.913 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.914 * [taylor]: Taking taylor expansion of N in N 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of 1.0 in N 1.914 * [backup-simplify]: Simplify 1.0 into 1.0 1.914 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.914 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.916 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.916 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.921 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.928 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow N 2)) (+ (* (/ 1/2 (sqrt 1.0)) N) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3)))) 1.929 * [backup-simplify]: Simplify (sqrt (+ (/ 1 N) 1.0)) into (sqrt (+ (/ 1 N) 1.0)) 1.929 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in (N) around 0 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [taylor]: Taking taylor expansion of 1.0 in N 1.929 * [backup-simplify]: Simplify 1.0 into 1.0 1.930 * [backup-simplify]: Simplify (+ 1 0) into 1 1.930 * [backup-simplify]: Simplify (sqrt 0) into 0 1.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.931 * [taylor]: Taking taylor expansion of N in N 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [taylor]: Taking taylor expansion of 1.0 in N 1.931 * [backup-simplify]: Simplify 1.0 into 1.0 1.931 * [backup-simplify]: Simplify (+ 1 0) into 1 1.931 * [backup-simplify]: Simplify (sqrt 0) into 0 1.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.935 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.939 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.939 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- N)) 1.0)) into (sqrt (- 1.0 (/ 1 N))) 1.939 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in (N) around 0 1.939 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.939 * [taylor]: Taking taylor expansion of 1.0 in N 1.939 * [backup-simplify]: Simplify 1.0 into 1.0 1.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [backup-simplify]: Simplify (- 1) into -1 1.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.940 * [backup-simplify]: Simplify (sqrt 0) into 0 1.941 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.941 * [taylor]: Taking taylor expansion of 1.0 in N 1.941 * [backup-simplify]: Simplify 1.0 into 1.0 1.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (- 1) into -1 1.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.942 * [backup-simplify]: Simplify (sqrt 0) into 0 1.943 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.945 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.949 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.949 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.949 * * * [progress]: simplifying candidates 1.952 * [simplify]: Simplifying: (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) 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 (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (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 (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) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (log (sqrt (+ N 1.0))) (exp (sqrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (sqrt 1) (sqrt (+ N 1.0)) (sqrt 1) (sqrt (+ N 1.0)) (sqrt (+ (pow N 3) (pow 1.0 3))) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (sqrt (- (* N N) (* 1.0 1.0))) (sqrt (- N 1.0)) (/ 1 2) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.953 * [simplify]: Sending expressions to egg_math: (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)) (log (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (exp (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (* (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))))) (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (* (* (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (sqrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (sqrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3)) (+ (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (- (* (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) h0))) (* (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))))) (- (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (* (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) h0)))) (- (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 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