4.962 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.048 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.053 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.054 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.081 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.081 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (log 1) into 0 0.083 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [backup-simplify]: Simplify 1.0 into 1.0 0.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.083 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.083 * [taylor]: Taking taylor expansion of (log N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (log 1) into 0 0.084 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.084 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.085 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.085 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.090 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.100 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.102 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.102 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.102 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.103 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (log 1) into 0 0.104 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (log 1) into 0 0.105 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (log 1) into 0 0.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.106 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.106 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.111 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.120 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [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 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.139 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.140 * [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)))) 0.140 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.140 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.140 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (- 1) into -1 0.141 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.141 * [backup-simplify]: Simplify (log -1) into (log -1) 0.141 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.141 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.141 * [taylor]: Taking taylor expansion of -1 in N 0.141 * [backup-simplify]: Simplify -1 into -1 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ -1 1) into -1 0.142 * [backup-simplify]: Simplify (log -1) into (log -1) 0.142 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of 1.0 in N 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.143 * [backup-simplify]: Simplify (log -1) into (log -1) 0.143 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.143 * [taylor]: Taking taylor expansion of -1 in N 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [backup-simplify]: Simplify (log -1) into (log -1) 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.145 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.145 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.161 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.175 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.176 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.176 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.176 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.176 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.187 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.188 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.188 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.188 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.194 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.201 * [backup-simplify]: Simplify -0.5 into -0.5 0.201 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.201 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.201 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.209 * [backup-simplify]: Simplify -1.0 into -1.0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.215 * [backup-simplify]: Simplify -0.5 into -0.5 0.216 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.217 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* 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)))) 0.225 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.229 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.237 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.272 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.274 * * * [progress]: adding candidates to table 0.367 * * [progress]: iteration 2 / 4 0.367 * * * [progress]: picking best candidate 0.373 * * * * [pick]: Picked # 0.374 * * * [progress]: localizing error 0.383 * * * [progress]: generating rewritten candidates 0.383 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.394 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.458 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.493 * * * [progress]: generating series expansions 0.493 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.493 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 0.493 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.494 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.502 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 0.502 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.502 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.506 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 0.506 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.506 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 0.514 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.514 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 0.514 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.514 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.514 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.514 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.514 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of 0.5 in N 0.514 * [backup-simplify]: Simplify 0.5 into 0.5 0.514 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.515 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.515 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.515 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.515 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.515 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.515 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 0.5 in N 0.516 * [backup-simplify]: Simplify 0.5 into 0.5 0.516 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.516 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.517 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.519 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 0.520 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [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 0.537 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.539 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 0.539 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.539 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.539 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.540 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.540 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.540 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of 0.5 in N 0.540 * [backup-simplify]: Simplify 0.5 into 0.5 0.540 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.540 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.540 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.540 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.540 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of 0.5 in N 0.540 * [backup-simplify]: Simplify 0.5 into 0.5 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.541 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.541 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.542 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.542 * [backup-simplify]: Simplify -0.5 into -0.5 0.542 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 0.544 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.545 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.561 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 0.561 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.561 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.561 * [taylor]: Taking taylor expansion of -1 in N 0.561 * [backup-simplify]: Simplify -1 into -1 0.561 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.561 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of 0.5 in N 0.561 * [backup-simplify]: Simplify 0.5 into 0.5 0.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.561 * [taylor]: Taking taylor expansion of -1 in N 0.561 * [backup-simplify]: Simplify -1 into -1 0.561 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.561 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of 0.5 in N 0.561 * [backup-simplify]: Simplify 0.5 into 0.5 0.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.562 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.562 * [backup-simplify]: Simplify -0.5 into -0.5 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.564 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 0.566 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 0.566 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.581 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.586 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.586 * [backup-simplify]: Simplify (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.586 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.586 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.586 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.586 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.586 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.586 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.586 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.587 * [taylor]: Taking taylor expansion of 0.5 in N 0.587 * [backup-simplify]: Simplify 0.5 into 0.5 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.587 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.588 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.588 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.588 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.588 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.589 * [backup-simplify]: Simplify 1.0 into 1.0 0.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.589 * [taylor]: Taking taylor expansion of 0.5 in N 0.589 * [backup-simplify]: Simplify 0.5 into 0.5 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.589 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.590 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.590 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.590 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.598 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.598 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.598 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.601 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.601 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.603 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 0.603 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 0.603 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.603 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.604 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.604 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.604 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.604 * [taylor]: Taking taylor expansion of 0.5 in N 0.604 * [backup-simplify]: Simplify 0.5 into 0.5 0.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.604 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.604 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.604 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.604 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.604 * [taylor]: Taking taylor expansion of 0.5 in N 0.604 * [backup-simplify]: Simplify 0.5 into 0.5 0.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.606 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.607 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.608 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.609 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.609 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.609 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.610 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.612 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.612 * [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)))) 0.612 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 0.612 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.612 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.612 * [taylor]: Taking taylor expansion of 0.5 in N 0.612 * [backup-simplify]: Simplify 0.5 into 0.5 0.613 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.613 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.613 * [taylor]: Taking taylor expansion of 1.0 in N 0.613 * [backup-simplify]: Simplify 1.0 into 1.0 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.613 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.613 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.613 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.613 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.613 * [taylor]: Taking taylor expansion of 0.5 in N 0.613 * [backup-simplify]: Simplify 0.5 into 0.5 0.613 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.613 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.613 * [taylor]: Taking taylor expansion of 1.0 in N 0.613 * [backup-simplify]: Simplify 1.0 into 1.0 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.613 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.613 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.613 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.615 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.615 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.616 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.616 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.618 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.618 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.620 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.620 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.620 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.621 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.622 * [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)))) 0.622 * * * [progress]: simplifying candidates 0.624 * [simplify]: Simplifying: (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (* (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.625 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (+ (- (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (- 0 (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- 0 (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- 0 (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log 1) (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (log (/ 1 (pow h0 2))) (log (- (/ h2 h0) h1))) (log (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* (pow h0 2) (+ (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ 1 (pow h0 2)) (* (cbrt (- (/ h2 h0) h1)) (cbrt (- (/ h2 h0) h1)))) (* (/ 1 (pow h0 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) 1) (* (/ 1 (pow h0 2)) (+ (sqrt (/ h2 h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt h2) (sqrt h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) 1) (* (cbrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) h0) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) h0) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 h0) (- (/ h2 h0) h1)) (* (/ 1 (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* 1 (- (/ h2 h0) h1)) (* (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (/ h3 h0))) (log (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (exp (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (* (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h3)) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h0) (+ (* (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h3)) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h0) (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (+ (/ h2 h0) h1) h3)) (* (+ (/ h2 h0) h1) h0) (+ (* (* 1 (- (/ h2 h0) h1)) h0) (* (pow h0 2) h3)) (* (pow h0 2) h0) (+ (pow (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) 3) (pow (/ h3 h0) 3)) (+ (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (- (* (/ h3 h0) (/ h3 h0)) (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (- (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ h3 h0) (/ h3 h0))) (- (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) 0.631 * * [simplify]: iteration 0 : 583 enodes (cost 1087 ) 0.642 * * [simplify]: iteration 1 : 2726 enodes (cost 904 ) 0.687 * * [simplify]: iteration 2 : 5001 enodes (cost 841 ) 0.692 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 3 / 4 0.938 * * * [progress]: picking best candidate 0.946 * * * * [pick]: Picked # 0.947 * * * [progress]: localizing error 0.971 * * * [progress]: generating rewritten candidates 0.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.835 * * * [progress]: generating series expansions 1.835 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.836 * [backup-simplify]: Simplify (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) into (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) 1.836 * [approximate]: Taking taylor expansion of (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) in (N) around 0 1.836 * [taylor]: Taking taylor expansion of (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) in N 1.836 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) in N 1.836 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 3))) in N 1.836 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.836 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.836 * [taylor]: Taking taylor expansion of (pow N 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [taylor]: Taking taylor expansion of 0.125 in N 1.837 * [backup-simplify]: Simplify 0.125 into 0.125 1.837 * [taylor]: Taking taylor expansion of N in N 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 1.837 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 1.838 * [backup-simplify]: Simplify (/ 0.037037037037037035 1) into 0.037037037037037035 1.838 * [taylor]: Taking taylor expansion of (/ (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) N) in N 1.838 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (/ 1 (pow N 3))) 0.125) in N 1.838 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 3))) in N 1.838 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.838 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.838 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.838 * [taylor]: Taking taylor expansion of N in N 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (* 1 1) into 1 1.838 * [backup-simplify]: Simplify (* 1 1) into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.838 * [taylor]: Taking taylor expansion of 0.125 in N 1.838 * [backup-simplify]: Simplify 0.125 into 0.125 1.838 * [taylor]: Taking taylor expansion of N in N 1.838 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 1.839 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 1.839 * [backup-simplify]: Simplify (/ 0.037037037037037035 1) into 0.037037037037037035 1.839 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.847 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 1.849 * [backup-simplify]: Simplify (- (/ (- 0.125) 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (- 0.125) 1.849 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.037037037037037035 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* (- 0.125) (/ 1 N)) (* 0.037037037037037035 (pow (/ 1 N) 4))) into (- (* 0.037037037037037035 (/ 1 (pow N 4))) (* 0.125 (/ 1 N))) 1.876 * [backup-simplify]: Simplify (* (* (/ 1 (pow (/ 1 N) 2)) (- (pow (/ 0.3333333333333333 (/ 1 N)) 3) (pow 0.5 3))) (/ 1 N)) into (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) 1.876 * [approximate]: Taking taylor expansion of (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) in (N) around 0 1.876 * [taylor]: Taking taylor expansion of (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) in N 1.876 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (pow N 3)) 0.125) in N 1.876 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 1.876 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.876 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.876 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of 0.125 in N 1.876 * [backup-simplify]: Simplify 0.125 into 0.125 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of (* (- (* 0.037037037037037035 (pow N 3)) 0.125) N) in N 1.876 * [taylor]: Taking taylor expansion of (- (* 0.037037037037037035 (pow N 3)) 0.125) in N 1.876 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 1.876 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.876 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.876 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of 0.125 in N 1.876 * [backup-simplify]: Simplify 0.125 into 0.125 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.877 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 1.877 * [backup-simplify]: Simplify (* (- 0.125) 0) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* (- 0.125) 1) (* 0 0)) into (- 0.125) 1.879 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 1) (* 0 0))) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 1.882 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 1) (* 0.037037037037037035 0)))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 1) (* 0 0))))) into 0.037037037037037035 1.887 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 1) (* 0 0)))))) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (+ (* (- 0.125) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 N) 4)) (* (- 0.125) (/ 1 N))) into (- (* 0.037037037037037035 (/ 1 (pow N 4))) (* 0.125 (/ 1 N))) 1.916 * [backup-simplify]: Simplify (* (* (/ 1 (pow (/ 1 (- N)) 2)) (- (pow (/ 0.3333333333333333 (/ 1 (- N))) 3) (pow 0.5 3))) (/ 1 (- N))) into (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) 1.916 * [approximate]: Taking taylor expansion of (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) in (N) around 0 1.916 * [taylor]: Taking taylor expansion of (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) in N 1.916 * [taylor]: Taking taylor expansion of N in N 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 3)) 0.125) in N 1.916 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 1.916 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.916 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.916 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.916 * [taylor]: Taking taylor expansion of N in N 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of 0.125 in N 1.916 * [backup-simplify]: Simplify 0.125 into 0.125 1.916 * [taylor]: Taking taylor expansion of (* N (+ (* 0.037037037037037035 (pow N 3)) 0.125)) in N 1.916 * [taylor]: Taking taylor expansion of N in N 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 3)) 0.125) in N 1.917 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 3)) in N 1.917 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.917 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.917 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.917 * [taylor]: Taking taylor expansion of N in N 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [taylor]: Taking taylor expansion of 0.125 in N 1.917 * [backup-simplify]: Simplify 0.125 into 0.125 1.917 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 1.917 * [backup-simplify]: Simplify (* 0 0.125) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 0.125)) into 0.125 1.918 * [backup-simplify]: Simplify 0.125 into 0.125 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 0.125))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.920 * [backup-simplify]: Simplify (* 1 1) into 1 1.920 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 1.920 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 1.921 * [backup-simplify]: Simplify (+ (* 0 0.037037037037037035) (+ (* 1 0) (+ (* 0 0) (* 0 0.125)))) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))) into 0.037037037037037035 1.924 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125)))))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125)))))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))))))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125)))))))))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.037037037037037035) (+ (* 0 0) (+ (* 0 0) (* 0 0.125))))))))))) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 (- N)) 4)) (* 0.125 (/ 1 (- N)))) into (- (* 0.037037037037037035 (/ 1 (pow N 4))) (* 0.125 (/ 1 N))) 1.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.945 * [backup-simplify]: Simplify (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) into (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) 1.945 * [approximate]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in (N) around 0 1.945 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 1.945 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 1.945 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.945 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.945 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 1.945 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 1.945 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.945 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.945 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of 0.25 in N 1.946 * [backup-simplify]: Simplify 0.25 into 0.25 1.946 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 1.946 * [taylor]: Taking taylor expansion of N in N 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 1.946 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 1.946 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.946 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.946 * [taylor]: Taking taylor expansion of N in N 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 1.947 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 1.947 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.947 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.947 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of 0.25 in N 1.947 * [backup-simplify]: Simplify 0.25 into 0.25 1.947 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 1.948 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 1.948 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 1.948 * [backup-simplify]: Simplify (* 0 0.1111111111111111) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 1.951 * [backup-simplify]: Simplify (+ (* 0 0.16666666666666666) (* 1 0.1111111111111111)) into 0.1111111111111111 1.951 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (* 0 1))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.954 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.956 * [backup-simplify]: Simplify (+ (* 0 0.25) (+ (* 1 0.16666666666666666) (* 0 0.1111111111111111))) into 0.16666666666666666 1.956 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.25) (+ (* 0 0.16666666666666666) (* 0 0.1111111111111111)))) into 0.25 1.961 * [backup-simplify]: Simplify 0.25 into 0.25 1.961 * [backup-simplify]: Simplify (+ (* 0.25 N) (+ 0.16666666666666666 (* 0.1111111111111111 (/ 1 N)))) into (+ (* 0.1111111111111111 (/ 1 N)) (+ (* 0.25 N) 0.16666666666666666)) 1.961 * [backup-simplify]: Simplify (* (/ 1 N) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 N)))) (* (/ 0.3333333333333333 (/ 1 N)) (/ 0.3333333333333333 (/ 1 N))))) into (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) 1.961 * [approximate]: Taking taylor expansion of (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) in (N) around 0 1.961 * [taylor]: Taking taylor expansion of (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) in N 1.962 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 1.962 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 1.962 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.962 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.962 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.962 * [taylor]: Taking taylor expansion of N in N 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 1.962 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 1.962 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.962 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.962 * [taylor]: Taking taylor expansion of N in N 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of 0.25 in N 1.962 * [backup-simplify]: Simplify 0.25 into 0.25 1.962 * [taylor]: Taking taylor expansion of N in N 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.963 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.963 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.963 * [taylor]: Taking taylor expansion of (/ (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) N) in N 1.963 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 1.963 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 1.963 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.963 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.963 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 1.963 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 1.963 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.963 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of 0.25 in N 1.963 * [backup-simplify]: Simplify 0.25 into 0.25 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.964 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.964 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.964 * [backup-simplify]: Simplify 0.25 into 0.25 1.966 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 1.966 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 1.966 * [backup-simplify]: Simplify (+ 0 0.16666666666666666) into 0.16666666666666666 1.967 * [backup-simplify]: Simplify (- (/ 0.16666666666666666 1) (+ (* 0.25 (/ 0 1)))) into 0.16666666666666666 1.967 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 1.968 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 1.970 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 1) (+ (* 0.25 (/ 0 1)) (* 0.16666666666666666 (/ 0 1)))) into 0.1111111111111111 1.970 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.970 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (/ 1 N)) (+ 0.16666666666666666 (* 0.25 (/ 1 (/ 1 N))))) into (+ (* 0.1111111111111111 (/ 1 N)) (+ (* 0.25 N) 0.16666666666666666)) 1.971 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 (- N))))) (* (/ 0.3333333333333333 (/ 1 (- N))) (/ 0.3333333333333333 (/ 1 (- N)))))) into (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) 1.971 * [approximate]: Taking taylor expansion of (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) in (N) around 0 1.971 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) in N 1.971 * [taylor]: Taking taylor expansion of -1 in N 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N) in N 1.971 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 1.971 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 1.971 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 1.971 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.971 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.971 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of 0.25 in N 1.971 * [backup-simplify]: Simplify 0.25 into 0.25 1.971 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 1.971 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.971 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.972 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 1.972 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.972 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N)) in N 1.972 * [taylor]: Taking taylor expansion of -1 in N 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) N) in N 1.972 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 1.972 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 1.972 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 1.972 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.972 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.972 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.973 * [taylor]: Taking taylor expansion of N in N 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of 0.25 in N 1.973 * [backup-simplify]: Simplify 0.25 into 0.25 1.973 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 1.973 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.973 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.973 * [taylor]: Taking taylor expansion of N in N 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of N in N 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 1.973 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 1.974 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.974 * [backup-simplify]: Simplify (* -1 0.25) into -0.25 1.974 * [backup-simplify]: Simplify -0.25 into -0.25 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 1.976 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 1.976 * [backup-simplify]: Simplify (+ 0 (- 0.16666666666666666)) into (- 0.16666666666666666) 1.982 * [backup-simplify]: Simplify (- (/ (- 0.16666666666666666) 1) (+ (* 0.25 (/ 0 1)))) into (- 0.16666666666666666) 1.984 * [backup-simplify]: Simplify (+ (* -1 (- 0.16666666666666666)) (* 0 0.25)) into 0.16666666666666666 1.984 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.984 * [backup-simplify]: Simplify (* 1 1) into 1 1.984 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 1.984 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 1.985 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 1.987 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 1) (+ (* 0.25 (/ 0 1)) (* (- 0.16666666666666666) (/ 0 1)))) into 0.1111111111111111 1.988 * [backup-simplify]: Simplify (+ (* -1 0.1111111111111111) (+ (* 0 (- 0.16666666666666666)) (* 0 0.25))) into (- 0.1111111111111111) 1.988 * [backup-simplify]: Simplify (- 0.1111111111111111) into (- 0.1111111111111111) 1.989 * [backup-simplify]: Simplify (+ (* (- 0.1111111111111111) (/ 1 (- N))) (+ 0.16666666666666666 (* -0.25 (/ 1 (/ 1 (- N)))))) into (+ (* 0.1111111111111111 (/ 1 N)) (+ (* 0.25 N) 0.16666666666666666)) 1.989 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.990 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))))) into (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) 1.991 * [approximate]: Taking taylor expansion of (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) in (N) around 0 1.991 * [taylor]: Taking taylor expansion of (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) in N 1.991 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) in N 1.991 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 (/ 1 N)) in N 1.991 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 1.991 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 1.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25)) in N 1.991 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 1.991 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.991 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.991 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25) in N 1.992 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 4))) in N 1.992 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 1.992 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 1.992 * [taylor]: Taking taylor expansion of (pow N 4) in N 1.992 * [taylor]: Taking taylor expansion of N in N 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of 0.25 in N 1.992 * [backup-simplify]: Simplify 0.25 into 0.25 1.992 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 1.992 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 1.993 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 1.993 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 1.993 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.993 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 1.993 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 1.993 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.993 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.993 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.993 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of 0.25 in N 1.994 * [backup-simplify]: Simplify 0.25 into 0.25 1.994 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 1.994 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 1.994 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 1.995 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 1.995 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 1.995 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 1.995 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 1.996 * [backup-simplify]: Simplify (* 0 0.1111111111111111) into 0 1.996 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 1.998 * [backup-simplify]: Simplify (+ (* 0 0.16666666666666666) (* 1 0.1111111111111111)) into 0.1111111111111111 1.999 * [backup-simplify]: Simplify (/ 0.037037037037037035 0.1111111111111111) into 0.3333333333333333 1.999 * [taylor]: Taking taylor expansion of (/ (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)))) in N 1.999 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25))) in N 1.999 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 (/ 1 N)) in N 1.999 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 1.999 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 1.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.999 * [taylor]: Taking taylor expansion of N in N 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25)) in N 1.999 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 1.999 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 1.999 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.999 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.999 * [taylor]: Taking taylor expansion of N in N 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (/ 1 (pow N 4))) 0.25) in N 2.000 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (/ 1 (pow N 4))) in N 2.000 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.000 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 2.000 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.000 * [taylor]: Taking taylor expansion of N in N 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [taylor]: Taking taylor expansion of 0.25 in N 2.000 * [backup-simplify]: Simplify 0.25 into 0.25 2.000 * [taylor]: Taking taylor expansion of (* N (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25))) in N 2.000 * [taylor]: Taking taylor expansion of N in N 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 (/ 1 N)) (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25)) in N 2.001 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (/ 1 N)) in N 2.001 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.001 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (/ 1 (pow N 2))) 0.25) in N 2.001 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (/ 1 (pow N 2))) in N 2.001 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.001 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.001 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of 0.25 in N 2.001 * [backup-simplify]: Simplify 0.25 into 0.25 2.002 * [backup-simplify]: Simplify (* 0.037037037037037035 1) into 0.037037037037037035 2.002 * [backup-simplify]: Simplify (+ 0.037037037037037035 0) into 0.037037037037037035 2.002 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 2.003 * [backup-simplify]: Simplify (+ 0 0.037037037037037035) into 0.037037037037037035 2.003 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.003 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.003 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 2.003 * [backup-simplify]: Simplify (* 0 0.1111111111111111) into 0 2.004 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.006 * [backup-simplify]: Simplify (+ (* 0 0.16666666666666666) (* 1 0.1111111111111111)) into 0.1111111111111111 2.006 * [backup-simplify]: Simplify (/ 0.037037037037037035 0.1111111111111111) into 0.3333333333333333 2.007 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (* 0 1))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.011 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.013 * [backup-simplify]: Simplify (+ (* 0 0.25) (+ (* 1 0.16666666666666666) (* 0 0.1111111111111111))) into 0.16666666666666666 2.015 * [backup-simplify]: Simplify (- (/ 0 0.1111111111111111) (+ (* 0.3333333333333333 (/ 0.16666666666666666 0.1111111111111111)))) into (- 0.5) 2.015 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.015 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.018 * [backup-simplify]: Simplify (+ 0 0.1111111111111111) into 0.1111111111111111 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.25) (+ (* 0 0.16666666666666666) (* 0 0.1111111111111111)))) into 0.25 2.026 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 0.1111111111111111) (+ (* 0.3333333333333333 (/ 0.25 0.1111111111111111)) (* (- 0.5) (/ 0.16666666666666666 0.1111111111111111)))) into 1.0 2.026 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.028 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (pow (/ 1 N) 2)) (- (pow (/ 0.3333333333333333 (/ 1 N)) 3) (pow 0.5 3))) (/ 1 N)) (* (+ (* (/ 0.3333333333333333 (/ 1 N)) (/ 0.3333333333333333 (/ 1 N))) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 (/ 1 N)) 0.5))) 1.0)) (* (/ 1 N) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 N)))) (* (/ 0.3333333333333333 (/ 1 N)) (/ 0.3333333333333333 (/ 1 N)))))) into (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) 2.028 * [approximate]: Taking taylor expansion of (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) in (N) around 0 2.028 * [taylor]: Taking taylor expansion of (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) in N 2.028 * [taylor]: Taking taylor expansion of (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25))) in N 2.028 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.028 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.028 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.028 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.028 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.028 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.028 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.028 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.028 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.029 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.029 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.029 * [taylor]: Taking taylor expansion of N in N 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of 0.25 in N 2.029 * [backup-simplify]: Simplify 0.25 into 0.25 2.029 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 2.029 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.029 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.029 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.029 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.029 * [taylor]: Taking taylor expansion of N in N 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 2.029 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.029 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.029 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.029 * [taylor]: Taking taylor expansion of N in N 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of 0.25 in N 2.029 * [backup-simplify]: Simplify 0.25 into 0.25 2.029 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.030 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.030 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.030 * [backup-simplify]: Simplify (* 0 0.25) into 0 2.031 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (+ 0.04166666666666666 0) into 0.04166666666666666 2.032 * [backup-simplify]: Simplify (+ 0 0.04166666666666666) into 0.04166666666666666 2.033 * [backup-simplify]: Simplify (+ (* 0 0.04166666666666666) (* 1 0.25)) into 0.25 2.033 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.033 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.034 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.034 * [taylor]: Taking taylor expansion of (/ (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25))) in N 2.034 * [taylor]: Taking taylor expansion of (* N (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)))) in N 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25))) in N 2.034 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.034 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.034 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.034 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of (+ (* 0.04166666666666666 N) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.034 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.034 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.034 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.034 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.034 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.034 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.034 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of 0.25 in N 2.034 * [backup-simplify]: Simplify 0.25 into 0.25 2.034 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.16666666666666666 N) 0.25)) in N 2.034 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.034 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.034 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.034 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666666 N) 0.25) in N 2.034 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.034 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.034 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.034 * [taylor]: Taking taylor expansion of N in N 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of 0.25 in N 2.034 * [backup-simplify]: Simplify 0.25 into 0.25 2.035 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.035 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.035 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.036 * [backup-simplify]: Simplify (* 0 0.25) into 0 2.036 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (+ 0.04166666666666666 0) into 0.04166666666666666 2.037 * [backup-simplify]: Simplify (+ 0 0.04166666666666666) into 0.04166666666666666 2.038 * [backup-simplify]: Simplify (+ (* 0 0.04166666666666666) (* 1 0.25)) into 0.25 2.038 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.039 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.039 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.039 * [backup-simplify]: Simplify 1.0 into 1.0 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.040 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.042 * [backup-simplify]: Simplify (+ (* 0 0.1111111111111111) (+ (* 1 0.04166666666666666) (* 0 0.25))) into 0.04166666666666666 2.043 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 2.044 * [backup-simplify]: Simplify (+ 0.16666666666666666 0) into 0.16666666666666666 2.044 * [backup-simplify]: Simplify (+ 0 0.16666666666666666) into 0.16666666666666666 2.046 * [backup-simplify]: Simplify (- (/ 0.04166666666666666 0.25) (+ (* 1.0 (/ 0.16666666666666666 0.25)))) into (- 0.5) 2.046 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.1111111111111111) (+ (* 0 0.04166666666666666) (* 0 0.25)))) into 0.1111111111111111 2.050 * [backup-simplify]: Simplify (* 1 1) into 1 2.050 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.051 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.054 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 0.25) (+ (* 1.0 (/ 0.1111111111111111 0.25)) (* (- 0.5) (/ 0.16666666666666666 0.25)))) into 0.3333333333333333 2.054 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.055 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.056 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (pow (/ 1 (- N)) 2)) (- (pow (/ 0.3333333333333333 (/ 1 (- N))) 3) (pow 0.5 3))) (/ 1 (- N))) (* (+ (* (/ 0.3333333333333333 (/ 1 (- N))) (/ 0.3333333333333333 (/ 1 (- N)))) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 (/ 1 (- N))) 0.5))) 1.0)) (* (/ 1 (- N)) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 (/ 1 (- N))))) (* (/ 0.3333333333333333 (/ 1 (- N))) (/ 0.3333333333333333 (/ 1 (- N))))))) into (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) 2.056 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) in (N) around 0 2.056 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) in N 2.056 * [taylor]: Taking taylor expansion of -1 in N 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N))) in N 2.056 * [taylor]: Taking taylor expansion of (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) in N 2.056 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) in N 2.056 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.056 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.056 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.056 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.056 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.056 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.057 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.057 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [taylor]: Taking taylor expansion of 0.25 in N 2.057 * [backup-simplify]: Simplify 0.25 into 0.25 2.057 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.057 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.057 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 2.057 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 2.057 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.057 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.057 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.057 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [taylor]: Taking taylor expansion of 0.25 in N 2.057 * [backup-simplify]: Simplify 0.25 into 0.25 2.057 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.057 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.057 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.058 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.058 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.059 * [backup-simplify]: Simplify (* 0.25 0) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.060 * [backup-simplify]: Simplify (- 0.04166666666666666) into (- 0.04166666666666666) 2.060 * [backup-simplify]: Simplify (+ 0 (- 0.04166666666666666)) into (- 0.04166666666666666) 2.061 * [backup-simplify]: Simplify (+ (* 0.25 1) (* (- 0.04166666666666666) 0)) into 0.25 2.062 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.062 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.063 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.063 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)))) in N 2.063 * [taylor]: Taking taylor expansion of -1 in N 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of (/ (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N))) in N 2.063 * [taylor]: Taking taylor expansion of (* (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) N) in N 2.063 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) (* 0.04166666666666666 N)) in N 2.063 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) (+ (* 0.037037037037037035 (pow N 4)) 0.25)) in N 2.063 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.063 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.063 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.063 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (+ (* 0.037037037037037035 (pow N 4)) 0.25) in N 2.063 * [taylor]: Taking taylor expansion of (* 0.037037037037037035 (pow N 4)) in N 2.063 * [taylor]: Taking taylor expansion of 0.037037037037037035 in N 2.063 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 2.063 * [taylor]: Taking taylor expansion of (pow N 4) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of 0.25 in N 2.063 * [backup-simplify]: Simplify 0.25 into 0.25 2.063 * [taylor]: Taking taylor expansion of (* 0.04166666666666666 N) in N 2.063 * [taylor]: Taking taylor expansion of 0.04166666666666666 in N 2.063 * [backup-simplify]: Simplify 0.04166666666666666 into 0.04166666666666666 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (- (+ (* 0.1111111111111111 (pow N 2)) 0.25) (* 0.16666666666666666 N)) in N 2.063 * [taylor]: Taking taylor expansion of (+ (* 0.1111111111111111 (pow N 2)) 0.25) in N 2.063 * [taylor]: Taking taylor expansion of (* 0.1111111111111111 (pow N 2)) in N 2.063 * [taylor]: Taking taylor expansion of 0.1111111111111111 in N 2.063 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.063 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of 0.25 in N 2.063 * [backup-simplify]: Simplify 0.25 into 0.25 2.063 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 N) in N 2.063 * [taylor]: Taking taylor expansion of 0.16666666666666666 in N 2.063 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.064 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.064 * [backup-simplify]: Simplify (* 0.04166666666666666 0) into 0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.065 * [backup-simplify]: Simplify (* 0.25 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 1) (* 0 0)) into 0.04166666666666666 2.067 * [backup-simplify]: Simplify (- 0.04166666666666666) into (- 0.04166666666666666) 2.067 * [backup-simplify]: Simplify (+ 0 (- 0.04166666666666666)) into (- 0.04166666666666666) 2.068 * [backup-simplify]: Simplify (+ (* 0.25 1) (* (- 0.04166666666666666) 0)) into 0.25 2.068 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 2.069 * [backup-simplify]: Simplify (* 0.16666666666666666 0) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.074 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 2.074 * [backup-simplify]: Simplify (/ 0.25 0.25) into 1.0 2.074 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 2.074 * [backup-simplify]: Simplify -1.0 into -1.0 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.076 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.078 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.04166666666666666) 1) (* 0.1111111111111111 0))) into (- 0.04166666666666666) 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (* 0 0)) into 0.16666666666666666 2.080 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 2.080 * [backup-simplify]: Simplify (+ 0 (- 0.16666666666666666)) into (- 0.16666666666666666) 2.082 * [backup-simplify]: Simplify (- (/ (- 0.04166666666666666) 0.25) (+ (* 1.0 (/ (- 0.16666666666666666) 0.25)))) into 0.5 2.083 * [backup-simplify]: Simplify (+ (* -1 0.5) (* 0 1.0)) into (- 0.5) 2.084 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* 0.04166666666666666 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.04166666666666666) 0) (+ (* 0.1111111111111111 1) (* 0 0)))) into 0.1111111111111111 2.089 * [backup-simplify]: Simplify (* 1 1) into 1 2.089 * [backup-simplify]: Simplify (* 0.1111111111111111 1) into 0.1111111111111111 2.089 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.090 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (* 0 0))) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ 0.1111111111111111 0) into 0.1111111111111111 2.093 * [backup-simplify]: Simplify (- (/ 0.1111111111111111 0.25) (+ (* 1.0 (/ 0.1111111111111111 0.25)) (* 0.5 (/ (- 0.16666666666666666) 0.25)))) into 0.3333333333333333 2.094 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (+ (* 0 0.5) (* 0 1.0))) into (- 0.3333333333333333) 2.094 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.095 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.095 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.095 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 2.095 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.095 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.096 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.096 * [taylor]: Taking taylor expansion of N in N 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.103 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 2.103 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.103 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.103 * [taylor]: Taking taylor expansion of N in N 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.103 * [taylor]: Taking taylor expansion of N in N 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (* 1 1) into 1 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.107 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 2.107 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.112 * * * [progress]: simplifying candidates 2.116 * [simplify]: Simplifying: (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 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h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* h0 (+ (pow (* h1 (+ h1 (/ h2 h0))) 3) (pow (* (/ h2 h0) (/ h2 h0)) 3)))) (/ (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* h0 (- (* (* h1 (+ h1 (/ h2 h0))) (* h1 (+ h1 (/ h2 h0)))) (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0)))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3))))) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (* (pow h0 2) (+ (pow (/ h2 h0) 3) (pow h1 3))) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (* (pow (/ h2 h0) 3) (pow (/ h2 h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (* (pow (/ h2 h0) 3) (pow h1 3)))) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (+ (pow (/ h2 h0) 3) (pow h1 3)) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* (* h0 h0) (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (/ h2 h0) h1) (* (/ h2 h0) h1)) (* (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (* h0 (- (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (+ (* (* (/ h2 h0) (/ h2 h0)) (* (/ h2 h0) (/ h2 h0))) (- (* (+ (* h1 h1) (* (/ h2 h0) h1)) (+ (* h1 h1) (* (/ h2 h0) h1))) (* (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (* (pow h0 2) (- (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (+ (* (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0)) (- (* (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3))))) (* (* h0 (+ (* h1 (+ h1 (/ h2 h0))) (* (/ h2 h0) (/ h2 h0)))) (- (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3))) (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (- (* h5 (/ 1 (pow h0 4))) (* h4 (/ 1 h0))) (- (* h5 (/ 1 (pow h0 4))) (* h4 (/ 1 h0))) (- (* h5 (/ 1 (pow h0 4))) (* h4 (/ 1 h0))) (+ (* h8 (/ 1 h0)) (+ (* h7 h0) h6)) (+ (* h8 (/ 1 h0)) (+ (* h7 h0) h6)) (+ (* h8 (/ 1 h0)) (+ (* h7 h0) h6)) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) 2.132 * * [simplify]: iteration 0 : 1216 enodes (cost 3170 ) 2.158 * * [simplify]: iteration 1 : 5001 enodes (cost 2885 ) 2.170 * * * [progress]: adding candidates to table 3.045 * * [progress]: iteration 4 / 4 3.045 * * * [progress]: picking best candidate 3.050 * * * * [pick]: Picked # 3.051 * * * [progress]: localizing error 3.055 * * * [progress]: generating rewritten candidates 3.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.084 * * * [progress]: generating series expansions 3.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.084 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.084 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.084 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.084 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.084 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.084 * [taylor]: Taking taylor expansion of N in N 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [taylor]: Taking taylor expansion of 1.0 in N 3.084 * [backup-simplify]: Simplify 1.0 into 1.0 3.084 * [taylor]: Taking taylor expansion of N in N 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.085 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.085 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.085 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.085 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.085 * [taylor]: Taking taylor expansion of N in N 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [taylor]: Taking taylor expansion of 1.0 in N 3.085 * [backup-simplify]: Simplify 1.0 into 1.0 3.085 * [taylor]: Taking taylor expansion of N in N 3.085 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.086 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.086 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.087 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.087 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.087 * [backup-simplify]: Simplify (+ 1 0) into 1 3.088 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.091 * [backup-simplify]: Simplify 1.0 into 1.0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.098 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.099 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.099 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.099 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.099 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.099 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.099 * [taylor]: Taking taylor expansion of N in N 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.099 * [taylor]: Taking taylor expansion of N in N 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of 1.0 in N 3.100 * [backup-simplify]: Simplify 1.0 into 1.0 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (* 0 1) into 0 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.101 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.101 * [backup-simplify]: Simplify (log 1) into 0 3.101 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.101 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.101 * [taylor]: Taking taylor expansion of N in N 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.101 * [taylor]: Taking taylor expansion of N in N 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (/ 1 1) into 1 3.102 * [taylor]: Taking taylor expansion of 1.0 in N 3.102 * [backup-simplify]: Simplify 1.0 into 1.0 3.102 * [backup-simplify]: Simplify (+ 1 0) into 1 3.102 * [backup-simplify]: Simplify (* 0 1) into 0 3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.103 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.103 * [backup-simplify]: Simplify (log 1) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.110 * [backup-simplify]: Simplify 1.0 into 1.0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.117 * [backup-simplify]: Simplify -0.5 into -0.5 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.127 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.127 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.128 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.128 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.128 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.128 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.128 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.128 * [taylor]: Taking taylor expansion of -1 in N 3.128 * [backup-simplify]: Simplify -1 into -1 3.128 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.128 * [taylor]: Taking taylor expansion of 1.0 in N 3.128 * [backup-simplify]: Simplify 1.0 into 1.0 3.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [backup-simplify]: Simplify (- 1) into -1 3.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.129 * [backup-simplify]: Simplify (* 0 -1) into 0 3.129 * [backup-simplify]: Simplify (* -1 0) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (- 0) into 0 3.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.131 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.131 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.131 * [backup-simplify]: Simplify (log 1) into 0 3.131 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.131 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.131 * [taylor]: Taking taylor expansion of -1 in N 3.131 * [backup-simplify]: Simplify -1 into -1 3.131 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.131 * [taylor]: Taking taylor expansion of N in N 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.131 * [taylor]: Taking taylor expansion of 1.0 in N 3.131 * [backup-simplify]: Simplify 1.0 into 1.0 3.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.131 * [taylor]: Taking taylor expansion of N in N 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.132 * [backup-simplify]: Simplify (- 1) into -1 3.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.132 * [backup-simplify]: Simplify (* 0 -1) into 0 3.133 * [backup-simplify]: Simplify (* -1 0) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- 0) into 0 3.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.134 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.134 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.134 * [backup-simplify]: Simplify (log 1) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.138 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.142 * [backup-simplify]: Simplify -1.0 into -1.0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.151 * [backup-simplify]: Simplify -0.5 into -0.5 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (- 0) into 0 3.152 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.170 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 3.170 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.170 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.170 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.170 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.170 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.171 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.171 * [taylor]: Taking taylor expansion of N in N 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [taylor]: Taking taylor expansion of 1.0 in N 3.171 * [backup-simplify]: Simplify 1.0 into 1.0 3.171 * [taylor]: Taking taylor expansion of N in N 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.171 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.171 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.171 * [taylor]: Taking taylor expansion of N in N 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [taylor]: Taking taylor expansion of 1.0 in N 3.171 * [backup-simplify]: Simplify 1.0 into 1.0 3.171 * [taylor]: Taking taylor expansion of N in N 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.172 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.172 * [backup-simplify]: Simplify 1.0 into 1.0 3.172 * [backup-simplify]: Simplify (+ 1 0) into 1 3.173 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.179 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.179 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.179 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of 1.0 in N 3.179 * [backup-simplify]: Simplify 1.0 into 1.0 3.179 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of 1.0 in N 3.179 * [backup-simplify]: Simplify 1.0 into 1.0 3.180 * [backup-simplify]: Simplify (+ 1 0) into 1 3.180 * [backup-simplify]: Simplify (* 0 1) into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.181 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.181 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.183 * [backup-simplify]: Simplify 1.0 into 1.0 3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ 0 0) into 0 3.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ 0 0) into 0 3.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.193 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.193 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.193 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.193 * [taylor]: Taking taylor expansion of -1 in N 3.193 * [backup-simplify]: Simplify -1 into -1 3.193 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.193 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.194 * [taylor]: Taking taylor expansion of 1.0 in N 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.194 * [taylor]: Taking taylor expansion of -1 in N 3.194 * [backup-simplify]: Simplify -1 into -1 3.194 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.194 * [taylor]: Taking taylor expansion of 1.0 in N 3.194 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [backup-simplify]: Simplify (- 1) into -1 3.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.195 * [backup-simplify]: Simplify (* 0 -1) into 0 3.195 * [backup-simplify]: Simplify (* -1 0) into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- 0) into 0 3.196 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.197 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.197 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.197 * [backup-simplify]: Simplify 1 into 1 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- 0) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.201 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.201 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (- 0) into 0 3.202 * [backup-simplify]: Simplify (+ 0 0) into 0 3.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.203 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (- 0) into 0 3.204 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.205 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (- 0) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.211 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (- 0) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (- 0) into 0 3.215 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.218 * * * [progress]: simplifying candidates 3.219 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.219 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 3.223 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 3.227 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 3.240 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 3.314 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 3.316 * * * [progress]: adding candidates to table 3.421 * [progress]: [Phase 3 of 3] Extracting. 3.421 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.423 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.423 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 3.455 * * * [regime]: Found split indices: #