5.181 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.045 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.048 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.081 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (log 1) into 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [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 0.082 * [backup-simplify]: Simplify (log 1) into 0 0.083 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.083 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.083 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.083 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [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)) 0.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.103 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.106 * [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))) 0.106 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.106 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.107 * [backup-simplify]: Simplify (log 1) into 0 0.107 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (log 1) into 0 0.107 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [backup-simplify]: Simplify (log 1) into 0 0.108 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (log 1) into 0 0.109 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.109 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.109 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.110 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.116 * [backup-simplify]: Simplify 1.0 into 1.0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [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 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.125 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [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 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [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 0.141 * [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 0.143 * [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 0.146 * [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 0.152 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [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 0.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.162 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [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 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [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 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.177 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.178 * [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)))) 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.178 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.178 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.179 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.179 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.180 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.183 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [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)) 0.192 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.193 * [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)))) 0.194 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.194 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [backup-simplify]: Simplify 1.0 into 1.0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [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 0.207 * [backup-simplify]: Simplify -0.5 into -0.5 0.207 * [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)))) 0.207 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.207 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.207 * [taylor]: Taking taylor expansion of 1.0 in N 0.207 * [backup-simplify]: Simplify 1.0 into 1.0 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- 1) into -1 0.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.208 * [backup-simplify]: Simplify (log -1) into (log -1) 0.208 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (- 1) into -1 0.209 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.210 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.210 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.215 * [backup-simplify]: Simplify -1.0 into -1.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [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 0.222 * [backup-simplify]: Simplify -0.5 into -0.5 0.223 * [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)))) 0.223 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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)))) 0.224 * [simplify]: Sending expressions to egg_math: (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (expm1 (- (log (+ h0 h1)) (log h0))) (log1p (- (log (+ h0 h1)) (log h0))) (- (log h0)) (- (log h0)) (- (log h0)) (- (log h0)) (/ (+ 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)) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.229 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.233 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.250 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.344 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.346 * * * [progress]: adding candidates to table 0.470 * * [progress]: iteration 2 / 4 0.471 * * * [progress]: picking best candidate 0.475 * * * * [pick]: Picked # 0.475 * * * [progress]: localizing error 0.480 * * * [progress]: generating rewritten candidates 0.480 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.486 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.508 * * * [progress]: generating series expansions 0.508 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.508 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.508 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.508 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.508 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [backup-simplify]: Simplify 1.0 into 1.0 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.509 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.509 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.509 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.509 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.509 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [taylor]: Taking taylor expansion of 1.0 in N 0.510 * [backup-simplify]: Simplify 1.0 into 1.0 0.510 * [taylor]: Taking taylor expansion of N in N 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.510 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.510 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.511 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.511 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.512 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.515 * [backup-simplify]: Simplify 1.0 into 1.0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.521 * [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)) 0.522 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.523 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.523 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.523 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.523 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.523 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (* 0 1) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.525 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.525 * [backup-simplify]: Simplify (log 1) into 0 0.526 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.526 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.526 * [backup-simplify]: Simplify (* 0 1) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.527 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.528 * [backup-simplify]: Simplify (log 1) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.534 * [backup-simplify]: Simplify 1.0 into 1.0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.541 * [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 0.541 * [backup-simplify]: Simplify -0.5 into -0.5 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.552 * [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 0.552 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.552 * [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)))) 0.552 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.552 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.552 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.552 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.552 * [taylor]: Taking taylor expansion of -1 in N 0.552 * [backup-simplify]: Simplify -1 into -1 0.552 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.552 * [taylor]: Taking taylor expansion of 1.0 in N 0.552 * [backup-simplify]: Simplify 1.0 into 1.0 0.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [backup-simplify]: Simplify (- 1) into -1 0.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.553 * [backup-simplify]: Simplify (* 0 -1) into 0 0.554 * [backup-simplify]: Simplify (* -1 0) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.555 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.556 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.556 * [backup-simplify]: Simplify (log 1) into 0 0.556 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.556 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.556 * [taylor]: Taking taylor expansion of -1 in N 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [backup-simplify]: Simplify 1.0 into 1.0 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [backup-simplify]: Simplify (- 1) into -1 0.557 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.557 * [backup-simplify]: Simplify (* 0 -1) into 0 0.557 * [backup-simplify]: Simplify (* -1 0) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.559 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.559 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.559 * [backup-simplify]: Simplify (log 1) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.563 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.567 * [backup-simplify]: Simplify -1.0 into -1.0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.579 * [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 0.579 * [backup-simplify]: Simplify -0.5 into -0.5 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.593 * [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 0.593 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.593 * [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)))) 0.593 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.593 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.593 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.593 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.593 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of 1.0 in N 0.593 * [backup-simplify]: Simplify 1.0 into 1.0 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.594 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.594 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.594 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.595 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.595 * [backup-simplify]: Simplify 1.0 into 1.0 0.595 * [backup-simplify]: Simplify (+ 1 0) into 1 0.596 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.601 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.601 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.602 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.603 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [backup-simplify]: Simplify (* 0 1) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.604 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [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 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.618 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.618 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.618 * [taylor]: Taking taylor expansion of -1 in N 0.618 * [backup-simplify]: Simplify -1 into -1 0.618 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [backup-simplify]: Simplify 1.0 into 1.0 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.618 * [taylor]: Taking taylor expansion of -1 in N 0.618 * [backup-simplify]: Simplify -1 into -1 0.618 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [backup-simplify]: Simplify 1.0 into 1.0 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify (- 1) into -1 0.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.619 * [backup-simplify]: Simplify (* 0 -1) into 0 0.620 * [backup-simplify]: Simplify (* -1 0) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.621 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.621 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.621 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.625 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.625 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.637 * [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 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.639 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.643 * * * [progress]: simplifying candidates 0.644 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.644 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (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))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.648 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.652 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.667 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.745 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.747 * * * [progress]: adding candidates to table 0.865 * * [progress]: iteration 3 / 4 0.865 * * * [progress]: picking best candidate 0.870 * * * * [pick]: Picked # 0.870 * * * [progress]: localizing error 0.878 * * * [progress]: generating rewritten candidates 0.878 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.887 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.945 * * * [progress]: generating series expansions 0.945 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.945 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 0.945 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.945 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.945 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.946 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [taylor]: Taking taylor expansion of 1.0 in N 0.946 * [backup-simplify]: Simplify 1.0 into 1.0 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.947 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.947 * [backup-simplify]: Simplify (sqrt 0) into 0 0.948 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.948 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.949 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.949 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.949 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.949 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.949 * [taylor]: Taking taylor expansion of N in N 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [taylor]: Taking taylor expansion of 1.0 in N 0.949 * [backup-simplify]: Simplify 1.0 into 1.0 0.949 * [taylor]: Taking taylor expansion of N in N 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.949 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.950 * [backup-simplify]: Simplify (sqrt 0) into 0 0.950 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 0.951 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.951 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.951 * [backup-simplify]: Simplify (+ 1 0) into 1 0.952 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.954 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.968 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.968 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 0.968 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 0.969 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.969 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.969 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.969 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.969 * [backup-simplify]: Simplify 1.0 into 1.0 0.969 * [backup-simplify]: Simplify (+ 1 0) into 1 0.969 * [backup-simplify]: Simplify (* 0 1) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.971 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.971 * [backup-simplify]: Simplify (sqrt 1) into 1 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.974 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.974 * [backup-simplify]: Simplify (log 1) into 0 0.974 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.974 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.974 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [taylor]: Taking taylor expansion of 1.0 in N 0.975 * [backup-simplify]: Simplify 1.0 into 1.0 0.975 * [backup-simplify]: Simplify (+ 1 0) into 1 0.975 * [backup-simplify]: Simplify (* 0 1) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.976 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.976 * [backup-simplify]: Simplify (sqrt 1) into 1 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.979 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.980 * [backup-simplify]: Simplify (log 1) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 0.983 * [backup-simplify]: Simplify 0.5 into 0.5 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 0.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 0.994 * [backup-simplify]: Simplify -0.25 into -0.25 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 1.016 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 1.016 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.016 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.017 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 1.017 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.017 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.017 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.017 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.017 * [taylor]: Taking taylor expansion of 1.0 in N 1.017 * [backup-simplify]: Simplify 1.0 into 1.0 1.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.017 * [taylor]: Taking taylor expansion of N in N 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (/ 1 1) into 1 1.017 * [backup-simplify]: Simplify (- 1) into -1 1.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.018 * [backup-simplify]: Simplify (sqrt 0) into 0 1.019 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.019 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.019 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.019 * [taylor]: Taking taylor expansion of -1 in N 1.019 * [backup-simplify]: Simplify -1 into -1 1.019 * [taylor]: Taking taylor expansion of N in N 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (/ -1 1) into -1 1.019 * [backup-simplify]: Simplify (sqrt 0) into 0 1.020 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.020 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.020 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.024 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.025 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.025 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.025 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.025 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.025 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.025 * [taylor]: Taking taylor expansion of 1.0 in N 1.025 * [backup-simplify]: Simplify 1.0 into 1.0 1.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.025 * [taylor]: Taking taylor expansion of N in N 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [backup-simplify]: Simplify (- 1) into -1 1.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.026 * [backup-simplify]: Simplify (sqrt 0) into 0 1.027 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.027 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.027 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.027 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.027 * [taylor]: Taking taylor expansion of -1 in N 1.027 * [backup-simplify]: Simplify -1 into -1 1.027 * [taylor]: Taking taylor expansion of N in N 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (/ -1 1) into -1 1.028 * [backup-simplify]: Simplify (sqrt 0) into 0 1.029 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.029 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.029 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.032 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.033 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.034 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.034 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.039 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (- 0) into 0 1.040 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.042 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.044 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.048 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.054 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (- 0) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.060 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.070 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 1.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.070 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.070 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.071 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 1.071 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.071 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.071 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.071 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.071 * [taylor]: Taking taylor expansion of N in N 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [taylor]: Taking taylor expansion of 1.0 in N 1.071 * [backup-simplify]: Simplify 1.0 into 1.0 1.071 * [taylor]: Taking taylor expansion of N in N 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.071 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.072 * [backup-simplify]: Simplify (sqrt 0) into 0 1.072 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.073 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.073 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.073 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.073 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.073 * [taylor]: Taking taylor expansion of N in N 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of 1.0 in N 1.073 * [backup-simplify]: Simplify 1.0 into 1.0 1.073 * [taylor]: Taking taylor expansion of N in N 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.073 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.074 * [backup-simplify]: Simplify (sqrt 0) into 0 1.074 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.075 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.075 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.075 * [backup-simplify]: Simplify (+ 1 0) into 1 1.076 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.078 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.081 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.097 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 1.097 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 1.097 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.097 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.097 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.097 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [taylor]: Taking taylor expansion of 1.0 in N 1.098 * [backup-simplify]: Simplify 1.0 into 1.0 1.098 * [backup-simplify]: Simplify (+ 1 0) into 1 1.098 * [backup-simplify]: Simplify (* 0 1) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.099 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.100 * [backup-simplify]: Simplify (sqrt 1) into 1 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.103 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.103 * [backup-simplify]: Simplify (log 1) into 0 1.103 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.103 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.103 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [backup-simplify]: Simplify 1.0 into 1.0 1.104 * [backup-simplify]: Simplify (+ 1 0) into 1 1.104 * [backup-simplify]: Simplify (* 0 1) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.105 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.105 * [backup-simplify]: Simplify (sqrt 1) into 1 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.108 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.109 * [backup-simplify]: Simplify (log 1) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 1.112 * [backup-simplify]: Simplify 0.5 into 0.5 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.124 * [backup-simplify]: Simplify -0.25 into -0.25 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 1.141 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 1.141 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.142 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.142 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 1.142 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.142 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.142 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.142 * [taylor]: Taking taylor expansion of 1.0 in N 1.142 * [backup-simplify]: Simplify 1.0 into 1.0 1.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.142 * [taylor]: Taking taylor expansion of N in N 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (/ 1 1) into 1 1.142 * [backup-simplify]: Simplify (- 1) into -1 1.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.143 * [backup-simplify]: Simplify (sqrt 0) into 0 1.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.144 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.144 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.144 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.144 * [taylor]: Taking taylor expansion of -1 in N 1.144 * [backup-simplify]: Simplify -1 into -1 1.144 * [taylor]: Taking taylor expansion of N in N 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ -1 1) into -1 1.145 * [backup-simplify]: Simplify (sqrt 0) into 0 1.145 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.146 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.146 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.149 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.150 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.151 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.151 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.151 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [backup-simplify]: Simplify 1.0 into 1.0 1.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (/ 1 1) into 1 1.151 * [backup-simplify]: Simplify (- 1) into -1 1.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.152 * [backup-simplify]: Simplify (sqrt 0) into 0 1.153 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.153 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.153 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.153 * [taylor]: Taking taylor expansion of -1 in N 1.153 * [backup-simplify]: Simplify -1 into -1 1.153 * [taylor]: Taking taylor expansion of N in N 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (/ -1 1) into -1 1.153 * [backup-simplify]: Simplify (sqrt 0) into 0 1.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.154 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.155 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.158 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.159 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.160 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.160 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.165 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (- 0) into 0 1.166 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.168 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.170 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.186 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.192 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 1.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.202 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.202 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.202 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) (sqrt N)) into (sqrt (/ (+ N 1.0) N)) 1.202 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.202 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.202 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.202 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.202 * [taylor]: Taking taylor expansion of N in N 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [taylor]: Taking taylor expansion of 1.0 in N 1.202 * [backup-simplify]: Simplify 1.0 into 1.0 1.202 * [taylor]: Taking taylor expansion of N in N 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.203 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.203 * [backup-simplify]: Simplify (sqrt 0) into 0 1.204 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.204 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.204 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [taylor]: Taking taylor expansion of 1.0 in N 1.204 * [backup-simplify]: Simplify 1.0 into 1.0 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.205 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.205 * [backup-simplify]: Simplify (sqrt 0) into 0 1.206 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.206 * [backup-simplify]: Simplify (+ 1 0) into 1 1.207 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.208 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.209 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.212 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.212 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.212 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.212 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.212 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.212 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [taylor]: Taking taylor expansion of 1.0 in N 1.212 * [backup-simplify]: Simplify 1.0 into 1.0 1.213 * [backup-simplify]: Simplify (+ 1 0) into 1 1.213 * [backup-simplify]: Simplify (* 0 1) into 0 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.214 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.214 * [backup-simplify]: Simplify (sqrt 1) into 1 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.217 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.217 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.217 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [taylor]: Taking taylor expansion of 1.0 in N 1.218 * [backup-simplify]: Simplify 1.0 into 1.0 1.218 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (* 0 1) into 0 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.219 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.220 * [backup-simplify]: Simplify (sqrt 1) into 1 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.223 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify 0.5 into 0.5 1.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.226 * [backup-simplify]: Simplify -0.125 into -0.125 1.226 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.226 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 1.226 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.226 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.226 * [taylor]: Taking taylor expansion of 1.0 in N 1.226 * [backup-simplify]: Simplify 1.0 into 1.0 1.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [backup-simplify]: Simplify (- 1) into -1 1.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.227 * [backup-simplify]: Simplify (sqrt 0) into 0 1.228 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.228 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.228 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.228 * [taylor]: Taking taylor expansion of -1 in N 1.228 * [backup-simplify]: Simplify -1 into -1 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (/ -1 1) into -1 1.229 * [backup-simplify]: Simplify (sqrt 0) into 0 1.229 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.230 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.230 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.230 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.230 * [taylor]: Taking taylor expansion of 1.0 in N 1.230 * [backup-simplify]: Simplify 1.0 into 1.0 1.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.230 * [taylor]: Taking taylor expansion of N in N 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [backup-simplify]: Simplify (- 1) into -1 1.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.231 * [backup-simplify]: Simplify (sqrt 0) into 0 1.232 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.232 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.232 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.232 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.232 * [taylor]: Taking taylor expansion of -1 in N 1.232 * [backup-simplify]: Simplify -1 into -1 1.232 * [taylor]: Taking taylor expansion of N in N 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (/ -1 1) into -1 1.232 * [backup-simplify]: Simplify (sqrt 0) into 0 1.233 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.233 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.233 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.237 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.238 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.238 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.243 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.245 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.247 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.247 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.253 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.260 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.260 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.261 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.261 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.261 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) (sqrt N)) into (sqrt (/ (+ N 1.0) N)) 1.261 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.261 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.261 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.261 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [backup-simplify]: Simplify 1.0 into 1.0 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.262 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.262 * [backup-simplify]: Simplify (sqrt 0) into 0 1.263 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.263 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.263 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.263 * [taylor]: Taking taylor expansion of N in N 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [taylor]: Taking taylor expansion of 1.0 in N 1.263 * [backup-simplify]: Simplify 1.0 into 1.0 1.263 * [taylor]: Taking taylor expansion of N in N 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.264 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.264 * [backup-simplify]: Simplify (sqrt 0) into 0 1.265 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.265 * [backup-simplify]: Simplify (+ 1 0) into 1 1.266 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.267 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.267 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.276 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.276 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.276 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.276 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.276 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.276 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.276 * [taylor]: Taking taylor expansion of N in N 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.276 * [taylor]: Taking taylor expansion of N in N 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [taylor]: Taking taylor expansion of 1.0 in N 1.277 * [backup-simplify]: Simplify 1.0 into 1.0 1.277 * [backup-simplify]: Simplify (+ 1 0) into 1 1.277 * [backup-simplify]: Simplify (* 0 1) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.278 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.278 * [backup-simplify]: Simplify (sqrt 1) into 1 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.281 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.281 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.281 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.281 * [taylor]: Taking taylor expansion of N in N 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.282 * [taylor]: Taking taylor expansion of N in N 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (/ 1 1) into 1 1.282 * [taylor]: Taking taylor expansion of 1.0 in N 1.282 * [backup-simplify]: Simplify 1.0 into 1.0 1.282 * [backup-simplify]: Simplify (+ 1 0) into 1 1.282 * [backup-simplify]: Simplify (* 0 1) into 0 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.283 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.284 * [backup-simplify]: Simplify (sqrt 1) into 1 1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.287 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify 0.5 into 0.5 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.290 * [backup-simplify]: Simplify -0.125 into -0.125 1.290 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.290 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 1.290 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.290 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.290 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.290 * [taylor]: Taking taylor expansion of 1.0 in N 1.290 * [backup-simplify]: Simplify 1.0 into 1.0 1.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.290 * [taylor]: Taking taylor expansion of N in N 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (/ 1 1) into 1 1.291 * [backup-simplify]: Simplify (- 1) into -1 1.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.291 * [backup-simplify]: Simplify (sqrt 0) into 0 1.292 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.292 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.292 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.292 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.292 * [taylor]: Taking taylor expansion of -1 in N 1.292 * [backup-simplify]: Simplify -1 into -1 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (/ -1 1) into -1 1.293 * [backup-simplify]: Simplify (sqrt 0) into 0 1.293 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.294 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.294 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.294 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.294 * [taylor]: Taking taylor expansion of 1.0 in N 1.294 * [backup-simplify]: Simplify 1.0 into 1.0 1.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.294 * [taylor]: Taking taylor expansion of N in N 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 1 into 1 1.294 * [backup-simplify]: Simplify (/ 1 1) into 1 1.294 * [backup-simplify]: Simplify (- 1) into -1 1.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.295 * [backup-simplify]: Simplify (sqrt 0) into 0 1.295 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.295 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.295 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.295 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.296 * [taylor]: Taking taylor expansion of -1 in N 1.296 * [backup-simplify]: Simplify -1 into -1 1.296 * [taylor]: Taking taylor expansion of N in N 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (/ -1 1) into -1 1.296 * [backup-simplify]: Simplify (sqrt 0) into 0 1.297 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.297 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.297 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.301 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.302 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.302 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.307 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.309 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.311 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.312 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.318 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.324 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.324 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.325 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.325 * * * [progress]: simplifying candidates 1.329 * [simplify]: Simplifying: (expm1 (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log1p (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt 1))) (log (/ (cbrt (sqrt 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(sqrt h0) (cbrt (sqrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (cbrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (/ (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (sqrt h0) (sqrt (- h0 h1))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (log (- h2)) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (log (- h2)) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ 1 (pow h0 2))) (- h2))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ 1 (pow h0 2))) (- h2))))) 1.338 * * [simplify]: iteration 0 : 389 enodes (cost 2712 ) 1.344 * * [simplify]: iteration 1 : 1182 enodes (cost 2592 ) 1.366 * * [simplify]: iteration 2 : 5001 enodes (cost 2440 ) 1.376 * * * [progress]: adding candidates to table 1.891 * * [progress]: iteration 4 / 4 1.892 * * * [progress]: picking best candidate 1.896 * * * * [pick]: Picked # 1.896 * * * [progress]: localizing error 1.911 * * * [progress]: generating rewritten candidates 1.911 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.928 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.942 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.951 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.000 * * * [progress]: generating series expansions 2.000 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.000 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 2.000 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 2.000 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 2.000 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.000 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.000 * [taylor]: Taking taylor expansion of 1/4 in N 2.000 * [backup-simplify]: Simplify 1/4 into 1/4 2.000 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.000 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.000 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 2.000 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.001 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.002 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.002 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.003 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.003 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.004 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 2.004 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 2.004 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.004 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.004 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.004 * [taylor]: Taking taylor expansion of 1/4 in N 2.004 * [backup-simplify]: Simplify 1/4 into 1/4 2.004 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.004 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.004 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.004 * [taylor]: Taking taylor expansion of N in N 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of 1.0 in N 2.004 * [backup-simplify]: Simplify 1.0 into 1.0 2.004 * [taylor]: Taking taylor expansion of N in N 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.005 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.005 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.005 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.006 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.006 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.006 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 2.007 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.007 * [backup-simplify]: Simplify (+ 1 0) into 1 2.008 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.012 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.012 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 2.014 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 2.015 * [backup-simplify]: Simplify 0.25 into 0.25 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.022 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.024 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 2.030 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 2.034 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 2.035 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 2.035 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (sqrt (sqrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 2.035 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 2.035 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 2.035 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.035 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.035 * [taylor]: Taking taylor expansion of 1/4 in N 2.035 * [backup-simplify]: Simplify 1/4 into 1/4 2.035 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.035 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.035 * [taylor]: Taking taylor expansion of N in N 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.035 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.035 * [taylor]: Taking taylor expansion of N in N 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of 1.0 in N 2.036 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [backup-simplify]: Simplify (+ 1 0) into 1 2.036 * [backup-simplify]: Simplify (* 0 1) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.037 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.038 * [backup-simplify]: Simplify (log 1) into 0 2.038 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.044 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.044 * [backup-simplify]: Simplify (exp 0) into 1 2.045 * [backup-simplify]: Simplify (log 1) into 0 2.045 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 2.045 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.045 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.045 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.045 * [taylor]: Taking taylor expansion of 1/4 in N 2.045 * [backup-simplify]: Simplify 1/4 into 1/4 2.045 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.045 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.045 * [taylor]: Taking taylor expansion of N in N 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.045 * [taylor]: Taking taylor expansion of N in N 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [taylor]: Taking taylor expansion of 1.0 in N 2.045 * [backup-simplify]: Simplify 1.0 into 1.0 2.045 * [backup-simplify]: Simplify (+ 1 0) into 1 2.046 * [backup-simplify]: Simplify (* 0 1) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.047 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.047 * [backup-simplify]: Simplify (log 1) into 0 2.047 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.054 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.054 * [backup-simplify]: Simplify (exp 0) into 1 2.054 * [backup-simplify]: Simplify (log 1) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 2.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 2.060 * [backup-simplify]: Simplify 0.25 into 0.25 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.075 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 2.080 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 2.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 2.087 * [backup-simplify]: Simplify -0.125 into -0.125 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.098 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.100 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 2.108 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 2.122 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 2.122 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 2.123 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 2.123 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (sqrt (sqrt (/ 1 (- N)))))) into (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) 2.123 * [approximate]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 2.123 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.123 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.123 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.123 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.123 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.123 * [taylor]: Taking taylor expansion of 1/4 in N 2.123 * [backup-simplify]: Simplify 1/4 into 1/4 2.123 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.123 * [taylor]: Taking taylor expansion of 1.0 in N 2.123 * [backup-simplify]: Simplify 1.0 into 1.0 2.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (- 1) into -1 2.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.124 * [backup-simplify]: Simplify (log -1) into (log -1) 2.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.125 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.125 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.125 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.126 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.126 * [taylor]: Taking taylor expansion of -1 in N 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of N in N 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (/ -1 1) into -1 2.126 * [backup-simplify]: Simplify (sqrt 0) into 0 2.127 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.127 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.127 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.131 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.132 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.133 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.133 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.133 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.133 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.133 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.133 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.133 * [taylor]: Taking taylor expansion of 1/4 in N 2.133 * [backup-simplify]: Simplify 1/4 into 1/4 2.133 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.133 * [taylor]: Taking taylor expansion of 1.0 in N 2.133 * [backup-simplify]: Simplify 1.0 into 1.0 2.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.134 * [taylor]: Taking taylor expansion of N in N 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [backup-simplify]: Simplify (- 1) into -1 2.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.134 * [backup-simplify]: Simplify (log -1) into (log -1) 2.135 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.135 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.136 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.136 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.136 * [taylor]: Taking taylor expansion of -1 in N 2.136 * [backup-simplify]: Simplify -1 into -1 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (/ -1 1) into -1 2.136 * [backup-simplify]: Simplify (sqrt 0) into 0 2.137 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.137 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.138 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.141 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.142 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.143 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.143 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.144 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (- 0) into 0 2.145 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.150 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 2.152 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 2.153 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 1) into (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) 2.158 * [backup-simplify]: Simplify (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) into (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) 2.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.170 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.173 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.182 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 2.186 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 2.192 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 2)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) 2.203 * [backup-simplify]: Simplify (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) into (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) 2.214 * [backup-simplify]: Simplify (+ (* (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) (/ 1 (- N))) (log (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))))) into (- (+ (* 0.25 (/ 1 N)) (log (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))))) (+ (* 0.125 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow N 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow N 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) N)))))))))) 2.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.214 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 2.214 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 2.214 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 2.214 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.214 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.214 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.214 * [taylor]: Taking taylor expansion of 1/4 in N 2.214 * [backup-simplify]: Simplify 1/4 into 1/4 2.214 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.214 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.214 * [taylor]: Taking taylor expansion of N in N 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of 1.0 in N 2.214 * [backup-simplify]: Simplify 1.0 into 1.0 2.214 * [taylor]: Taking taylor expansion of N in N 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.215 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.215 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.216 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.216 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.217 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 2.217 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 2.217 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.217 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.217 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.217 * [taylor]: Taking taylor expansion of 1/4 in N 2.217 * [backup-simplify]: Simplify 1/4 into 1/4 2.217 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.217 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.217 * [taylor]: Taking taylor expansion of N in N 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [taylor]: Taking taylor expansion of 1.0 in N 2.217 * [backup-simplify]: Simplify 1.0 into 1.0 2.217 * [taylor]: Taking taylor expansion of N in N 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.217 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.218 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.218 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.219 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.219 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 2.219 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.220 * [backup-simplify]: Simplify (+ 1 0) into 1 2.220 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.224 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 2.226 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 2.227 * [backup-simplify]: Simplify 0.25 into 0.25 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.236 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 2.242 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 2.246 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 2.247 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 2.247 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (sqrt (sqrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 2.247 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 2.247 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 2.247 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.247 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.247 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.247 * [taylor]: Taking taylor expansion of 1/4 in N 2.247 * [backup-simplify]: Simplify 1/4 into 1/4 2.247 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.247 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.248 * [taylor]: Taking taylor expansion of N in N 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (/ 1 1) into 1 2.248 * [taylor]: Taking taylor expansion of 1.0 in N 2.248 * [backup-simplify]: Simplify 1.0 into 1.0 2.248 * [backup-simplify]: Simplify (+ 1 0) into 1 2.248 * [backup-simplify]: Simplify (* 0 1) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.249 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.250 * [backup-simplify]: Simplify (log 1) into 0 2.250 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.263 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.263 * [backup-simplify]: Simplify (exp 0) into 1 2.263 * [backup-simplify]: Simplify (log 1) into 0 2.263 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 2.263 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.263 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.263 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.263 * [taylor]: Taking taylor expansion of 1/4 in N 2.263 * [backup-simplify]: Simplify 1/4 into 1/4 2.263 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.263 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [taylor]: Taking taylor expansion of 1.0 in N 2.263 * [backup-simplify]: Simplify 1.0 into 1.0 2.264 * [backup-simplify]: Simplify (+ 1 0) into 1 2.264 * [backup-simplify]: Simplify (* 0 1) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.265 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.265 * [backup-simplify]: Simplify (log 1) into 0 2.266 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.272 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.272 * [backup-simplify]: Simplify (exp 0) into 1 2.273 * [backup-simplify]: Simplify (log 1) into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 2.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 2.278 * [backup-simplify]: Simplify 0.25 into 0.25 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.287 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 2.292 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 2.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 2.300 * [backup-simplify]: Simplify -0.125 into -0.125 2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.311 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.312 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 2.320 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 2.334 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 2.334 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 2.334 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 2.334 * [backup-simplify]: Simplify (log (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (sqrt (sqrt (/ 1 (- N)))))) into (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) 2.334 * [approximate]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 2.334 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.335 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.335 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.335 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.335 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.335 * [taylor]: Taking taylor expansion of 1/4 in N 2.335 * [backup-simplify]: Simplify 1/4 into 1/4 2.335 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.335 * [taylor]: Taking taylor expansion of 1.0 in N 2.335 * [backup-simplify]: Simplify 1.0 into 1.0 2.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.335 * [taylor]: Taking taylor expansion of N in N 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.335 * [backup-simplify]: Simplify (/ 1 1) into 1 2.335 * [backup-simplify]: Simplify (- 1) into -1 2.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.336 * [backup-simplify]: Simplify (log -1) into (log -1) 2.336 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.336 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.337 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.337 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.337 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.337 * [taylor]: Taking taylor expansion of -1 in N 2.337 * [backup-simplify]: Simplify -1 into -1 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (/ -1 1) into -1 2.337 * [backup-simplify]: Simplify (sqrt 0) into 0 2.338 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.339 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.339 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.342 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.343 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.344 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.344 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.344 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N)))))) in N 2.344 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.344 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.344 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.344 * [taylor]: Taking taylor expansion of 1/4 in N 2.344 * [backup-simplify]: Simplify 1/4 into 1/4 2.345 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.345 * [taylor]: Taking taylor expansion of 1.0 in N 2.345 * [backup-simplify]: Simplify 1.0 into 1.0 2.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (/ 1 1) into 1 2.345 * [backup-simplify]: Simplify (- 1) into -1 2.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.346 * [backup-simplify]: Simplify (log -1) into (log -1) 2.346 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.346 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.347 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.347 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.347 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.347 * [taylor]: Taking taylor expansion of -1 in N 2.347 * [backup-simplify]: Simplify -1 into -1 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ -1 1) into -1 2.347 * [backup-simplify]: Simplify (sqrt 0) into 0 2.354 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.354 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.355 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.358 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.360 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.360 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.361 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.361 * [backup-simplify]: Simplify (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) into (log (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.367 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.367 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 2.369 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 2.371 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 1) into (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) 2.375 * [backup-simplify]: Simplify (* -1 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) 0.25)) into (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.380 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.384 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.385 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.391 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.392 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 2.396 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 2.402 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 2)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))))))) 1)) (pow (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) 2.413 * [backup-simplify]: Simplify (* -1/2 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) into (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) 2.423 * [backup-simplify]: Simplify (+ (* (* -1/2 (- 0.25 (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (- 0.25 (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))))) (/ 1 (- N))) (log (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))))) into (- (+ (* 0.25 (/ 1 N)) (log (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))))) (+ (* 0.125 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow N 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow N 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) N)))))))))) 2.424 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.424 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 2.424 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.424 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.424 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.424 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.424 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [taylor]: Taking taylor expansion of 1.0 in N 2.424 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.424 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.425 * [backup-simplify]: Simplify (sqrt 0) into 0 2.426 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 2.426 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.426 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.426 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.426 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.426 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.426 * [taylor]: Taking taylor expansion of N in N 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.426 * [taylor]: Taking taylor expansion of 1.0 in N 2.426 * [backup-simplify]: Simplify 1.0 into 1.0 2.426 * [taylor]: Taking taylor expansion of N in N 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.427 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.427 * [backup-simplify]: Simplify (sqrt 0) into 0 2.428 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 2.428 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.428 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.428 * [backup-simplify]: Simplify (+ 1 0) into 1 2.429 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.431 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.434 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 2.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.452 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 2.452 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 2.452 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.452 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.452 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.452 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.452 * [taylor]: Taking taylor expansion of N in N 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.452 * [taylor]: Taking taylor expansion of N in N 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [taylor]: Taking taylor expansion of 1.0 in N 2.452 * [backup-simplify]: Simplify 1.0 into 1.0 2.452 * [backup-simplify]: Simplify (+ 1 0) into 1 2.453 * [backup-simplify]: Simplify (* 0 1) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.454 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.454 * [backup-simplify]: Simplify (sqrt 1) into 1 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.457 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.457 * [backup-simplify]: Simplify (log 1) into 0 2.457 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.457 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.457 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.457 * [taylor]: Taking taylor expansion of N in N 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.457 * [taylor]: Taking taylor expansion of N in N 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (/ 1 1) into 1 2.458 * [taylor]: Taking taylor expansion of 1.0 in N 2.458 * [backup-simplify]: Simplify 1.0 into 1.0 2.458 * [backup-simplify]: Simplify (+ 1 0) into 1 2.458 * [backup-simplify]: Simplify (* 0 1) into 0 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.459 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.459 * [backup-simplify]: Simplify (sqrt 1) into 1 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.462 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.463 * [backup-simplify]: Simplify (log 1) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 2.466 * [backup-simplify]: Simplify 0.5 into 0.5 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 2.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 2.477 * [backup-simplify]: Simplify -0.25 into -0.25 2.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 2.495 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 2.495 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.495 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 2.495 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 2.495 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.496 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.496 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.496 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.496 * [taylor]: Taking taylor expansion of 1.0 in N 2.496 * [backup-simplify]: Simplify 1.0 into 1.0 2.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.496 * [taylor]: Taking taylor expansion of N in N 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (/ 1 1) into 1 2.496 * [backup-simplify]: Simplify (- 1) into -1 2.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.497 * [backup-simplify]: Simplify (sqrt 0) into 0 2.497 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.497 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.498 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.498 * [taylor]: Taking taylor expansion of -1 in N 2.498 * [backup-simplify]: Simplify -1 into -1 2.498 * [taylor]: Taking taylor expansion of N in N 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [backup-simplify]: Simplify (/ -1 1) into -1 2.498 * [backup-simplify]: Simplify (sqrt 0) into 0 2.499 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.499 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.499 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.503 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.504 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 2.504 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.504 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.504 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.504 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.504 * [taylor]: Taking taylor expansion of 1.0 in N 2.504 * [backup-simplify]: Simplify 1.0 into 1.0 2.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.504 * [taylor]: Taking taylor expansion of N in N 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.505 * [backup-simplify]: Simplify (- 1) into -1 2.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.505 * [backup-simplify]: Simplify (sqrt 0) into 0 2.506 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.506 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.506 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.506 * [taylor]: Taking taylor expansion of -1 in N 2.506 * [backup-simplify]: Simplify -1 into -1 2.506 * [taylor]: Taking taylor expansion of N in N 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (/ -1 1) into -1 2.507 * [backup-simplify]: Simplify (sqrt 0) into 0 2.508 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.508 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.508 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.511 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.512 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 2.513 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.513 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.518 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.519 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.521 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.523 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 2.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.540 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.541 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.546 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 2.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 2.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.557 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.557 * [backup-simplify]: Simplify (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) into (pow (/ (+ N 1.0) N) 1/4) 2.557 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in (N) around 0 2.557 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.557 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.557 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.557 * [taylor]: Taking taylor expansion of 1/4 in N 2.557 * [backup-simplify]: Simplify 1/4 into 1/4 2.557 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.557 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.557 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.557 * [taylor]: Taking taylor expansion of N in N 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [taylor]: Taking taylor expansion of 1.0 in N 2.557 * [backup-simplify]: Simplify 1.0 into 1.0 2.557 * [taylor]: Taking taylor expansion of N in N 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.558 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.558 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.559 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.559 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.559 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 2.559 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 2.559 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 2.559 * [taylor]: Taking taylor expansion of 1/4 in N 2.559 * [backup-simplify]: Simplify 1/4 into 1/4 2.559 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.559 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.559 * [taylor]: Taking taylor expansion of N in N 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.559 * [taylor]: Taking taylor expansion of 1.0 in N 2.559 * [backup-simplify]: Simplify 1.0 into 1.0 2.559 * [taylor]: Taking taylor expansion of N in N 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.560 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.560 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.560 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.561 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 2.561 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.562 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 2.562 * [backup-simplify]: Simplify (+ 1 0) into 1 2.562 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.566 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 2.568 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.568 * [backup-simplify]: Simplify (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 2.569 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.575 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.577 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 2.583 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.585 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 2.588 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) (pow N 2)) (+ (* (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) N) (exp (* 1/4 (- (log 1.0) (log N)))))) into (- (+ (* 0.25 (* N (exp (* 1/4 (- (log 1.0) (log N)))))) (+ (exp (* 1/4 (- (log 1.0) (log N)))) (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 2.588 * [backup-simplify]: Simplify (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (sqrt (sqrt (/ 1 N)))) into (pow (* N (+ (/ 1 N) 1.0)) 1/4) 2.588 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in (N) around 0 2.588 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.588 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.588 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.588 * [taylor]: Taking taylor expansion of 1/4 in N 2.588 * [backup-simplify]: Simplify 1/4 into 1/4 2.588 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.588 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.588 * [taylor]: Taking taylor expansion of N in N 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.588 * [taylor]: Taking taylor expansion of N in N 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ 1 1) into 1 2.589 * [taylor]: Taking taylor expansion of 1.0 in N 2.589 * [backup-simplify]: Simplify 1.0 into 1.0 2.589 * [backup-simplify]: Simplify (+ 1 0) into 1 2.589 * [backup-simplify]: Simplify (* 0 1) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.590 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.591 * [backup-simplify]: Simplify (log 1) into 0 2.591 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.598 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.598 * [backup-simplify]: Simplify (exp 0) into 1 2.598 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 2.598 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 2.598 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 2.598 * [taylor]: Taking taylor expansion of 1/4 in N 2.598 * [backup-simplify]: Simplify 1/4 into 1/4 2.598 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.598 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.598 * [taylor]: Taking taylor expansion of N in N 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.598 * [taylor]: Taking taylor expansion of N in N 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [taylor]: Taking taylor expansion of 1.0 in N 2.598 * [backup-simplify]: Simplify 1.0 into 1.0 2.599 * [backup-simplify]: Simplify (+ 1 0) into 1 2.599 * [backup-simplify]: Simplify (* 0 1) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.600 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.600 * [backup-simplify]: Simplify (log 1) into 0 2.600 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.607 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 2.607 * [backup-simplify]: Simplify (exp 0) into 1 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 2.610 * [backup-simplify]: Simplify 0.25 into 0.25 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.618 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 2.622 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 2.623 * [backup-simplify]: Simplify -0.09375 into -0.09375 2.623 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 N) 2)) (+ (* 0.25 (/ 1 N)) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 2.623 * [backup-simplify]: Simplify (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (sqrt (sqrt (/ 1 (- N))))) into (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) 2.623 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.623 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.623 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.623 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.623 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.623 * [taylor]: Taking taylor expansion of 1/4 in N 2.623 * [backup-simplify]: Simplify 1/4 into 1/4 2.623 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.623 * [taylor]: Taking taylor expansion of 1.0 in N 2.623 * [backup-simplify]: Simplify 1.0 into 1.0 2.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.623 * [taylor]: Taking taylor expansion of N in N 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [backup-simplify]: Simplify (- 1) into -1 2.624 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.624 * [backup-simplify]: Simplify (log -1) into (log -1) 2.625 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.625 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.625 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.626 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.626 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.626 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.626 * [taylor]: Taking taylor expansion of -1 in N 2.626 * [backup-simplify]: Simplify -1 into -1 2.626 * [taylor]: Taking taylor expansion of N in N 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (/ -1 1) into -1 2.626 * [backup-simplify]: Simplify (sqrt 0) into 0 2.635 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.636 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.636 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.640 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.641 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.641 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/4) (sqrt (/ 1 (sqrt (/ -1 N))))) in N 2.641 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 2.641 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 2.641 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 2.641 * [taylor]: Taking taylor expansion of 1/4 in N 2.641 * [backup-simplify]: Simplify 1/4 into 1/4 2.641 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.641 * [taylor]: Taking taylor expansion of 1.0 in N 2.641 * [backup-simplify]: Simplify 1.0 into 1.0 2.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.641 * [taylor]: Taking taylor expansion of N in N 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.642 * [backup-simplify]: Simplify (/ 1 1) into 1 2.642 * [backup-simplify]: Simplify (- 1) into -1 2.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.642 * [backup-simplify]: Simplify (log -1) into (log -1) 2.643 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.644 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 2.644 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 2.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 N)))) in N 2.644 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.644 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.644 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.644 * [taylor]: Taking taylor expansion of -1 in N 2.644 * [backup-simplify]: Simplify -1 into -1 2.644 * [taylor]: Taking taylor expansion of N in N 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (/ -1 1) into -1 2.645 * [backup-simplify]: Simplify (sqrt 0) into 0 2.645 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.646 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.646 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.648 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.649 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.650 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.651 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.652 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) into (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)) 2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify (- 0) into 0 2.653 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.658 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 2.660 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 2.661 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.663 * [backup-simplify]: Simplify (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) into (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.667 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.671 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- 0) into 0 2.672 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.678 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.679 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 2.683 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 2.689 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (log -1) (log N)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) (/ +nan.0 (sqrt +nan.0))) (* (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.691 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log N)))) (sqrt +nan.0)))))) 2.696 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (pow (sqrt +nan.0) 3))) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))) (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0)))))) (pow (/ 1 (- N)) 2)) (+ (* (- (+ (* 0.25 (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0)))))) (/ 1 (- N))) (* (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (sqrt +nan.0)))) into (- (+ (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))) (* 0.25 (/ (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))) N))) (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ -1 N))))) (* (sqrt +nan.0) (pow N 2)))) (- (* 0.09375 (/ (* (sqrt +nan.0) (exp (* 1/4 (- (log -1) (log (/ -1 N)))))) (pow N 2))) (+ (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ -1 N))))) (* (sqrt +nan.0) N))) (- (* +nan.0 (/ (exp (* 1/4 (- (log -1) (log (/ -1 N))))) (* (pow (sqrt +nan.0) 3) (pow N 2))))))))) 2.696 * * * [progress]: simplifying candidates 2.704 * [simplify]: Simplifying: (expm1 (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))))) (log1p (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))))) (log (* (cbrt (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (cbrt (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))))) (log (sqrt (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))))) (log (sqrt (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))))) (log (/ (* (cbrt (sqrt (sqrt (+ N 1.0)))) (cbrt (sqrt (sqrt (+ N 1.0))))) (* (cbrt (sqrt (sqrt N))) (cbrt (sqrt (sqrt N)))))) (log (/ (cbrt (sqrt (sqrt (+ N 1.0)))) 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(* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (* (pow (sqrt h5) 3) (pow h0 2))))))))) 2.729 * * [simplify]: iteration 0 : 896 enodes (cost 6046 ) 2.741 * * [simplify]: iteration 1 : 2885 enodes (cost 5869 ) 2.786 * * [simplify]: iteration 2 : 5001 enodes (cost 5531 ) 2.808 * * * [progress]: adding candidates to table 3.674 * [progress]: [Phase 3 of 3] Extracting. 3.674 * * [regime]: Finding splitpoints for: (# # #) 3.675 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.675 * * * * [regimes]: Trying to branch on N from (# # #) 3.697 * * * [regime]: Found split indices: #