5.054 * [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. 0.046 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.046 * [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 ) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [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) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.079 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.079 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.080 * [taylor]: Taking taylor expansion of (log N) 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 * [backup-simplify]: Simplify (log 1) into 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 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.081 * [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 0.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.082 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.082 * [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)) 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [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)) 0.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.098 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.100 * [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))) 0.100 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.100 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (log 1) into 0 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.107 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.107 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.107 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.107 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [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 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.122 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [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 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [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 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.137 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.137 * [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)))) 0.138 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.138 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.139 * [taylor]: Taking taylor expansion of -1 in N 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ -1 1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (- 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.140 * [backup-simplify]: Simplify (log -1) into (log -1) 0.140 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.140 * [taylor]: Taking taylor expansion of -1 in N 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [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 0.141 * [backup-simplify]: Simplify (log -1) into (log -1) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.143 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.149 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.149 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [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 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.159 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [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 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [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 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.173 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.174 * [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)))) 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.175 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.175 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.176 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [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)) 0.186 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.187 * [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)))) 0.187 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.187 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.189 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [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 0.206 * [backup-simplify]: Simplify -0.5 into -0.5 0.206 * [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)))) 0.206 * [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 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (- 1) into -1 0.207 * [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 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [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 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [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)) 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.214 * [backup-simplify]: Simplify -1.0 into -1.0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [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 0.221 * [backup-simplify]: Simplify -0.5 into -0.5 0.222 * [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)))) 0.222 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.223 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.226 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.230 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.238 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.274 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.275 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 2 / 4 0.376 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.386 * * * [progress]: generating rewritten candidates 0.386 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.393 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.414 * * * [progress]: generating series expansions 0.414 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.414 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.414 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.414 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.414 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.414 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [backup-simplify]: Simplify 1.0 into 1.0 0.415 * [taylor]: Taking taylor expansion of N in N 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.415 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.416 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.416 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.416 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.416 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.416 * [taylor]: Taking taylor expansion of N in N 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.417 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.417 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.417 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.418 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.421 * [backup-simplify]: Simplify 1.0 into 1.0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.427 * [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)) 0.428 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.429 * [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))) 0.429 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.429 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.429 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.429 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.429 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of 1.0 in N 0.430 * [backup-simplify]: Simplify 1.0 into 1.0 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.430 * [backup-simplify]: Simplify (* 0 1) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.431 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.432 * [backup-simplify]: Simplify (log 1) into 0 0.432 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.432 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of 1.0 in N 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (* 0 1) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.433 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.434 * [backup-simplify]: Simplify (log 1) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.451 * [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 0.451 * [backup-simplify]: Simplify -0.5 into -0.5 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.461 * [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 0.461 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.461 * [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)))) 0.462 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.462 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.462 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.462 * [taylor]: Taking taylor expansion of -1 in N 0.462 * [backup-simplify]: Simplify -1 into -1 0.462 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [backup-simplify]: Simplify 1.0 into 1.0 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.463 * [backup-simplify]: Simplify (* 0 -1) into 0 0.463 * [backup-simplify]: Simplify (* -1 0) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.464 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.465 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.465 * [backup-simplify]: Simplify (log 1) into 0 0.465 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.465 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.465 * [taylor]: Taking taylor expansion of -1 in N 0.465 * [backup-simplify]: Simplify -1 into -1 0.465 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.466 * [backup-simplify]: Simplify (* 0 -1) into 0 0.466 * [backup-simplify]: Simplify (* -1 0) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.468 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.468 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.468 * [backup-simplify]: Simplify (log 1) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.472 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.476 * [backup-simplify]: Simplify -1.0 into -1.0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.485 * [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 0.485 * [backup-simplify]: Simplify -0.5 into -0.5 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.497 * [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 0.497 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.497 * [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)))) 0.498 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.498 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.498 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.498 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.499 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.499 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [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 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [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 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.505 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.505 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.505 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [backup-simplify]: Simplify 1.0 into 1.0 0.506 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [backup-simplify]: Simplify 1.0 into 1.0 0.507 * [backup-simplify]: Simplify (+ 1 0) into 1 0.507 * [backup-simplify]: Simplify (* 0 1) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.508 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.510 * [backup-simplify]: Simplify 1.0 into 1.0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [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 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [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 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.520 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.520 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.520 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.520 * [taylor]: Taking taylor expansion of -1 in N 0.520 * [backup-simplify]: Simplify -1 into -1 0.520 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.520 * [taylor]: Taking taylor expansion of 1.0 in N 0.520 * [backup-simplify]: Simplify 1.0 into 1.0 0.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.521 * [taylor]: Taking taylor expansion of -1 in N 0.521 * [backup-simplify]: Simplify -1 into -1 0.521 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [backup-simplify]: Simplify 1.0 into 1.0 0.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (- 1) into -1 0.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.522 * [backup-simplify]: Simplify (* 0 -1) into 0 0.522 * [backup-simplify]: Simplify (* -1 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.523 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.524 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.533 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.533 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [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 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [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 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.552 * * * [progress]: simplifying candidates 0.553 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.553 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.557 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.561 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.574 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.651 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.653 * * * [progress]: adding candidates to table 0.762 * * [progress]: iteration 3 / 4 0.762 * * * [progress]: picking best candidate 0.766 * * * * [pick]: Picked # 0.766 * * * [progress]: localizing error 0.775 * * * [progress]: generating rewritten candidates 0.775 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.799 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.824 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.838 * * * [progress]: generating series expansions 0.838 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.838 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 0.838 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 0.839 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.839 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.839 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.839 * [taylor]: Taking taylor expansion of N in N 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [taylor]: Taking taylor expansion of 1.0 in N 0.839 * [backup-simplify]: Simplify 1.0 into 1.0 0.839 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.839 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.840 * [backup-simplify]: Simplify (+ 1 0) into 1 0.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.841 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.841 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.841 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.841 * [taylor]: Taking taylor expansion of N in N 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.842 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.842 * [taylor]: Taking taylor expansion of N in N 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [taylor]: Taking taylor expansion of 1.0 in N 0.842 * [backup-simplify]: Simplify 1.0 into 1.0 0.842 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.842 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.842 * [backup-simplify]: Simplify (+ 1 0) into 1 0.843 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.844 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.844 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.844 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.844 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.844 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.844 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of 1.0 in N 0.845 * [backup-simplify]: Simplify 1.0 into 1.0 0.845 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.845 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.845 * [backup-simplify]: Simplify (+ 1 0) into 1 0.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.847 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.847 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.847 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.847 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of 1.0 in N 0.847 * [backup-simplify]: Simplify 1.0 into 1.0 0.847 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.848 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.848 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.849 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.850 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 0.852 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 0.852 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 0.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 0.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 0.870 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 0.871 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.889 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.921 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 0.924 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 0.928 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 0.928 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 0.928 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 0.928 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.928 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [backup-simplify]: Simplify 1.0 into 1.0 0.929 * [backup-simplify]: Simplify (+ 1 0) into 1 0.929 * [backup-simplify]: Simplify (sqrt 0) into 0 0.930 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.930 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.930 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.930 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [taylor]: Taking taylor expansion of 1.0 in N 0.931 * [backup-simplify]: Simplify 1.0 into 1.0 0.931 * [backup-simplify]: Simplify (+ 1 0) into 1 0.931 * [backup-simplify]: Simplify (sqrt 0) into 0 0.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.932 * [backup-simplify]: Simplify (* 0 0) into 0 0.933 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.935 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.936 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 0.937 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.937 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.937 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [taylor]: Taking taylor expansion of 1.0 in N 0.937 * [backup-simplify]: Simplify 1.0 into 1.0 0.938 * [backup-simplify]: Simplify (+ 1 0) into 1 0.938 * [backup-simplify]: Simplify (sqrt 0) into 0 0.939 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.939 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.939 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.939 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [backup-simplify]: Simplify 1.0 into 1.0 0.940 * [backup-simplify]: Simplify (+ 1 0) into 1 0.940 * [backup-simplify]: Simplify (sqrt 0) into 0 0.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.941 * [backup-simplify]: Simplify (* 0 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.944 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.945 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 0.946 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.946 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 0.947 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 0.948 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.950 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.959 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 0.963 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.964 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.974 * [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 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.981 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 0.996 * [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 0.997 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.997 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.998 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 0.999 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 0.999 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 0.999 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 0.999 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.999 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.999 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [backup-simplify]: Simplify 1.0 into 1.0 0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.999 * [taylor]: Taking taylor expansion of N in N 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [backup-simplify]: Simplify (- 1) into -1 1.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.000 * [backup-simplify]: Simplify (sqrt 0) into 0 1.001 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.001 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.001 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.001 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.001 * [taylor]: Taking taylor expansion of -1 in N 1.001 * [backup-simplify]: Simplify -1 into -1 1.001 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.001 * [taylor]: Taking taylor expansion of 1.0 in N 1.001 * [backup-simplify]: Simplify 1.0 into 1.0 1.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [backup-simplify]: Simplify (- 1) into -1 1.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.002 * [backup-simplify]: Simplify (sqrt 0) into 0 1.003 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.003 * [backup-simplify]: Simplify (* 0 0) into 0 1.003 * [backup-simplify]: Simplify (* -1 0) into 0 1.004 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.004 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.007 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.008 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.009 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.010 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.010 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.010 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.010 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.010 * [taylor]: Taking taylor expansion of 1.0 in N 1.010 * [backup-simplify]: Simplify 1.0 into 1.0 1.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.010 * [taylor]: Taking taylor expansion of N in N 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (/ 1 1) into 1 1.010 * [backup-simplify]: Simplify (- 1) into -1 1.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.011 * [backup-simplify]: Simplify (sqrt 0) into 0 1.012 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.012 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.012 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.012 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.012 * [taylor]: Taking taylor expansion of -1 in N 1.012 * [backup-simplify]: Simplify -1 into -1 1.012 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.012 * [taylor]: Taking taylor expansion of N in N 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.012 * [taylor]: Taking taylor expansion of 1.0 in N 1.012 * [backup-simplify]: Simplify 1.0 into 1.0 1.012 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.012 * [taylor]: Taking taylor expansion of N in N 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.013 * [backup-simplify]: Simplify (- 1) into -1 1.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.013 * [backup-simplify]: Simplify (sqrt 0) into 0 1.014 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.014 * [backup-simplify]: Simplify (* 0 0) into 0 1.014 * [backup-simplify]: Simplify (* -1 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.015 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.017 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.019 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.020 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.021 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.022 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.022 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.023 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.026 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.035 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.036 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.041 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.041 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (- 0) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.052 * [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 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (- 0) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.057 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.059 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.068 * [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 1.069 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.069 * [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)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.070 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.070 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 1.070 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.070 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.071 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) 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 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.071 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.073 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.073 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.073 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) 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 1.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.080 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.080 * [backup-simplify]: Simplify (+ 1 0) into 1 1.081 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.082 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.082 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.089 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.107 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.110 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 1.110 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 1.110 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.110 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.110 * [taylor]: Taking taylor expansion of N in N 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [taylor]: Taking taylor expansion of 1.0 in N 1.110 * [backup-simplify]: Simplify 1.0 into 1.0 1.110 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [backup-simplify]: Simplify (sqrt 0) into 0 1.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.112 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.112 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.112 * [taylor]: Taking taylor expansion of N in N 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [taylor]: Taking taylor expansion of 1.0 in N 1.112 * [backup-simplify]: Simplify 1.0 into 1.0 1.112 * [backup-simplify]: Simplify (+ 1 0) into 1 1.113 * [backup-simplify]: Simplify (sqrt 0) into 0 1.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.114 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.114 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.116 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.131 * [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 1.131 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.131 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 1.131 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 1.131 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.131 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.131 * [taylor]: Taking taylor expansion of 1.0 in N 1.131 * [backup-simplify]: Simplify 1.0 into 1.0 1.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.131 * [taylor]: Taking taylor expansion of N in N 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (/ 1 1) into 1 1.132 * [backup-simplify]: Simplify (- 1) into -1 1.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.132 * [backup-simplify]: Simplify (sqrt 0) into 0 1.133 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.133 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.133 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.134 * [taylor]: Taking taylor expansion of 1.0 in N 1.134 * [backup-simplify]: Simplify 1.0 into 1.0 1.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (/ 1 1) into 1 1.134 * [backup-simplify]: Simplify (- 1) into -1 1.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.135 * [backup-simplify]: Simplify (sqrt 0) into 0 1.135 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.135 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.136 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.138 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.142 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (- 0) into 0 1.143 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.152 * [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 1.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.153 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 1.153 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.153 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 1.153 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.153 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 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 1.154 * [taylor]: Taking taylor expansion of 1.0 in N 1.154 * [backup-simplify]: Simplify 1.0 into 1.0 1.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.154 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.154 * [backup-simplify]: Simplify (+ 1 0) into 1 1.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.155 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.156 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of 1.0 in N 1.156 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.156 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.156 * [backup-simplify]: Simplify (+ 1 0) into 1 1.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.158 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.158 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.161 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.176 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.179 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) N) (+ (/ 1/2 (sqrt 1.0)) (* (sqrt 1.0) (/ 1 N)))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) 1.179 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 1.179 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.179 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.179 * [taylor]: Taking taylor expansion of N in N 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.179 * [taylor]: Taking taylor expansion of N in N 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (/ 1 1) into 1 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [backup-simplify]: Simplify 1.0 into 1.0 1.180 * [backup-simplify]: Simplify (+ 1 0) into 1 1.180 * [backup-simplify]: Simplify (sqrt 0) into 0 1.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.181 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (/ 1 1) into 1 1.181 * [taylor]: Taking taylor expansion of 1.0 in N 1.181 * [backup-simplify]: Simplify 1.0 into 1.0 1.182 * [backup-simplify]: Simplify (+ 1 0) into 1 1.182 * [backup-simplify]: Simplify (sqrt 0) into 0 1.183 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.183 * [backup-simplify]: Simplify (* 0 0) into 0 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.183 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.184 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.186 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.187 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.188 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.193 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.193 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.198 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.199 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.200 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.200 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 1.200 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.200 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.200 * [taylor]: Taking taylor expansion of -1 in N 1.200 * [backup-simplify]: Simplify -1 into -1 1.200 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.200 * [taylor]: Taking taylor expansion of 1.0 in N 1.200 * [backup-simplify]: Simplify 1.0 into 1.0 1.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (/ 1 1) into 1 1.201 * [backup-simplify]: Simplify (- 1) into -1 1.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.201 * [backup-simplify]: Simplify (sqrt 0) into 0 1.202 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.202 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.202 * [taylor]: Taking taylor expansion of -1 in N 1.202 * [backup-simplify]: Simplify -1 into -1 1.202 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) 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 (sqrt (- 1.0 (/ 1 N))) in N 1.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 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 (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [backup-simplify]: Simplify (- 1) into -1 1.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.203 * [backup-simplify]: Simplify (sqrt 0) into 0 1.204 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.204 * [backup-simplify]: Simplify (* 0 0) into 0 1.204 * [backup-simplify]: Simplify (* -1 0) into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.205 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.206 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.208 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.209 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.211 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.211 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.216 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.217 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.217 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.223 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.225 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.227 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.227 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.227 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) N)) into (log (* (/ 1 N) (sqrt (+ N 1.0)))) 1.227 * [approximate]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in (N) around 0 1.227 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.227 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [backup-simplify]: Simplify 1.0 into 1.0 1.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.228 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.229 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.230 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.230 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.230 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 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 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.230 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 1.230 * [backup-simplify]: Simplify 1.0 into 1.0 1.231 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.231 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.231 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.233 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.233 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.234 * [backup-simplify]: Simplify (- (log (sqrt 1.0)) (log N)) into (- (log (sqrt 1.0)) (log N)) 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.244 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.277 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.280 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (- (log (sqrt 1.0)) (log N)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (+ (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 1.280 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))) into (log (* N (sqrt (+ (/ 1 N) 1.0)))) 1.280 * [approximate]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 1.280 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.280 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.280 * [taylor]: Taking taylor expansion of N in N 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.280 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.280 * [taylor]: Taking taylor expansion of N in N 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (/ 1 1) into 1 1.280 * [taylor]: Taking taylor expansion of 1.0 in N 1.280 * [backup-simplify]: Simplify 1.0 into 1.0 1.281 * [backup-simplify]: Simplify (+ 1 0) into 1 1.281 * [backup-simplify]: Simplify (sqrt 0) into 0 1.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.282 * [backup-simplify]: Simplify (* 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.285 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.286 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.287 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.287 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.287 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (/ 1 1) into 1 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [backup-simplify]: Simplify 1.0 into 1.0 1.287 * [backup-simplify]: Simplify (+ 1 0) into 1 1.288 * [backup-simplify]: Simplify (sqrt 0) into 0 1.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.289 * [backup-simplify]: Simplify (* 0 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.291 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.293 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.293 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.294 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.295 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log N)) into (+ (log (- +nan.0)) (log N)) 1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.299 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.309 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.318 * [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 1.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.319 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (+ (log (- +nan.0)) (log (/ 1 N))))) into (- (+ (log (- +nan.0)) (log (/ 1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.319 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))) into (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 1.319 * [approximate]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in (N) around 0 1.319 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.319 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.319 * [taylor]: Taking taylor expansion of -1 in N 1.319 * [backup-simplify]: Simplify -1 into -1 1.319 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.319 * [taylor]: Taking taylor expansion of 1.0 in N 1.319 * [backup-simplify]: Simplify 1.0 into 1.0 1.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [backup-simplify]: Simplify (- 1) into -1 1.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.320 * [backup-simplify]: Simplify (sqrt 0) into 0 1.321 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.321 * [backup-simplify]: Simplify (* 0 0) into 0 1.322 * [backup-simplify]: Simplify (* -1 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.322 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.325 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.327 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.328 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.329 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.329 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.329 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.329 * [taylor]: Taking taylor expansion of -1 in N 1.329 * [backup-simplify]: Simplify -1 into -1 1.329 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.329 * [taylor]: Taking taylor expansion of N in N 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.329 * [taylor]: Taking taylor expansion of 1.0 in N 1.329 * [backup-simplify]: Simplify 1.0 into 1.0 1.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.329 * [taylor]: Taking taylor expansion of N in N 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [backup-simplify]: Simplify (- 1) into -1 1.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.330 * [backup-simplify]: Simplify (sqrt 0) into 0 1.331 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.331 * [backup-simplify]: Simplify (* 0 0) into 0 1.331 * [backup-simplify]: Simplify (* -1 0) into 0 1.332 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.332 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.335 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.336 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.337 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.338 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.338 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.339 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log N)) into (+ (log (- +nan.0)) (log N)) 1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.344 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.345 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.361 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.363 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.372 * [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 1.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.373 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (+ (log (- +nan.0)) (log (/ 1 (- N)))))) into (- (+ (log (- +nan.0)) (log (/ -1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.373 * * * [progress]: simplifying candidates 1.376 * [simplify]: Simplifying: (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) N)) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (sqrt (cbrt (+ N 1.0))) N)) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) 1)) (log (/ (sqrt (sqrt (+ N 1.0))) N)) (log (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt 1) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt 1) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) 1)) (log (/ (sqrt (sqrt (+ N 1.0))) N)) (log 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(* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (+ (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (log (/ 1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (log (/ -1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.377 * [simplify]: Sending expressions to egg_math: (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)) (log (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (exp (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 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(+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (* (cbrt (/ (sqrt (+ h0 h1)) h0)) (cbrt (/ (sqrt (+ h0 h1)) h0))))) (+ (log (sqrt (+ h0 h1))) (log (sqrt (/ (sqrt (+ h0 h1)) h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) 1))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (sqrt (+ h0 h1))) 1))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt 1) (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt 1) (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt 1) (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt 1) (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (sqrt (+ h0 h1))) 1))) (+ (log (sqrt (+ h0 h1))) (log (/ 1 (* (cbrt h0) (cbrt h0))))) (+ (log (sqrt (+ h0 h1))) (log (/ 1 (sqrt h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ 1 1))) (+ (log (sqrt (+ h0 h1))) (log 1)) (+ (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (+ (log (cbrt (sqrt (+ h0 h1)))) (log (/ (sqrt (+ h0 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(log (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- h0 h1))) (log (+ h0 h1)) (log (sqrt (+ h0 h1))) (log (+ h0 h1)) (log (log (sqrt (+ h0 h1)))) (exp (log (sqrt (+ h0 h1)))) (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) (cbrt (log (sqrt (+ h0 h1)))) (* (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (- (log (sqrt (+ h0 h1))) (log h0)) (log (/ (sqrt (+ h0 h1)) h0)) (exp (/ (sqrt (+ h0 h1)) h0)) (/ (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (* (* h0 h0) h0)) (* (cbrt (/ (sqrt (+ h0 h1)) h0)) (cbrt (/ (sqrt (+ h0 h1)) h0))) (cbrt (/ (sqrt (+ h0 h1)) h0)) (* (* (/ (sqrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) h0)) (/ (sqrt (+ h0 h1)) h0)) (sqrt (/ (sqrt (+ h0 h1)) h0)) (sqrt (/ (sqrt (+ h0 h1)) h0)) (- (sqrt (+ h0 h1))) (- h0) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0)) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt h0)) (/ (cbrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) 1) (/ (cbrt (sqrt (+ h0 h1))) h0) (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0)) (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt h0)) (/ (sqrt (cbrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1) (/ (sqrt (cbrt (+ h0 h1))) h0) (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (cbrt h0)) (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 h1))) 1) (/ (sqrt (sqrt (+ h0 h1))) h0) (/ (sqrt 1) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt 1) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt 1) 1) (/ (sqrt (+ h0 h1)) h0) (/ (sqrt 1) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt 1) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt 1) 1) (/ (sqrt (+ h0 h1)) h0) (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sqrt (+ h0 h1))) (cbrt h0)) (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 h1))) 1) (/ (sqrt (sqrt (+ h0 h1))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ 1 (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ 1 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 h0) (/ h0 (sqrt (+ h0 h1))) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ h0 (cbrt (sqrt (+ h0 h1)))) (/ h0 (sqrt (cbrt (+ h0 h1)))) (/ h0 (sqrt (sqrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (sqrt (sqrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (* h0 (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* h0 (sqrt (- h0 h1))) (log (* (cbrt (/ (sqrt (+ h0 h1)) h0)) (cbrt (/ (sqrt (+ h0 h1)) h0)))) (log (cbrt (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (/ (sqrt (+ h0 h1)) h0))) (log (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (sqrt h0))) (log (/ (cbrt (sqrt (+ h0 h1))) (sqrt h0))) (log (/ (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) 1)) (log (/ (cbrt (sqrt (+ h0 h1))) h0)) (log (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (cbrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt h0))) (log (/ (sqrt (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) 1)) (log (/ (sqrt (cbrt (+ h0 h1))) h0)) (log (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0))) (log (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0))) (log (/ (sqrt (sqrt (+ h0 h1))) 1)) (log (/ (sqrt (sqrt (+ h0 h1))) h0)) (log (/ (sqrt 1) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt 1) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt 1) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt 1) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt (sqrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (sqrt (+ h0 h1))) (cbrt h0))) (log (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0))) (log (/ (sqrt (sqrt (+ h0 h1))) (sqrt h0))) (log (/ (sqrt (sqrt (+ h0 h1))) 1)) (log (/ (sqrt (sqrt (+ h0 h1))) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ 1 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log 1) (log (/ (sqrt (+ h0 h1)) h0)) (log (sqrt (+ h0 h1))) (log (/ 1 h0)) (log (sqrt (+ h0 h1))) (log h0) (log (/ (sqrt (+ h0 h1)) h0)) (log (log (/ (sqrt (+ h0 h1)) h0))) (exp (log (/ (sqrt (+ h0 h1)) h0))) (* (cbrt (log (/ (sqrt (+ h0 h1)) h0))) (cbrt (log (/ (sqrt (+ h0 h1)) h0)))) (cbrt (log (/ (sqrt (+ h0 h1)) h0))) (* (* (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) h0))) (log (/ (sqrt (+ h0 h1)) h0))) (sqrt (log (/ (sqrt (+ h0 h1)) h0))) (sqrt (log (/ (sqrt (+ h0 h1)) h0))) (- (+ (* 2 (log (sqrt h1))) (/ h0 (pow (sqrt h1) 2))) (+ (* 1/2 (/ (pow h0 2) (pow (sqrt h1) 4))) (log h0))) (- (+ (log (- h2)) (+ (log h2) (log (/ 1 h0)))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (log (- h2)) (+ (log h2) (log (/ -1 h0)))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (log (sqrt h1)) (* 1/2 (/ h0 (pow (sqrt h1) 2)))) (* 1/4 (/ (pow h0 2) (pow (sqrt h1) 4)))) (- (log h2) (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) (- (log h2) (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) (- (+ (* 1/2 (/ 1 (sqrt h1))) (/ (sqrt h1) h0)) (* 1/8 (/ h0 (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 3))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))))) (- (+ (* h2 (/ 1 (pow h0 3))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))))) (- (+ (log (sqrt h1)) (* 1/2 (/ h0 (pow (sqrt h1) 2)))) (+ (* 1/4 (/ (pow h0 2) (pow (sqrt h1) 4))) (log h0))) (- (+ (log (- h2)) (log (/ 1 h0))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (log (- h2)) (log (/ -1 h0))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) 1.383 * * [simplify]: iteration 0 : 507 enodes (cost 1381 ) 1.390 * * [simplify]: iteration 1 : 1521 enodes (cost 1277 ) 1.415 * * [simplify]: iteration 2 : 5001 enodes (cost 1171 ) 1.421 * * * [progress]: adding candidates to table 1.781 * * [progress]: iteration 4 / 4 1.781 * * * [progress]: picking best candidate 1.787 * * * * [pick]: Picked # 1.787 * * * [progress]: localizing error 1.809 * * * [progress]: generating rewritten candidates 1.809 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.874 * * * [progress]: generating series expansions 1.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.874 * [backup-simplify]: Simplify (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) into (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) 1.874 * [approximate]: Taking taylor expansion of (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) in (N) around 0 1.874 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) in N 1.874 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ N 1.0))) 3) in N 1.874 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.874 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.874 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.874 * [taylor]: Taking taylor expansion of N in N 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of 1.0 in N 1.874 * [backup-simplify]: Simplify 1.0 into 1.0 1.875 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.875 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.875 * [backup-simplify]: Simplify (+ 1 0) into 1 1.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.877 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.877 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3) in N 1.877 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.877 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.877 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.877 * [taylor]: Taking taylor expansion of N in N 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.877 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.877 * [taylor]: Taking taylor expansion of N in N 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [taylor]: Taking taylor expansion of 1.0 in N 1.878 * [backup-simplify]: Simplify 1.0 into 1.0 1.878 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.878 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.880 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.880 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.881 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) in N 1.881 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ N 1.0))) 3) in N 1.881 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.881 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.881 * [taylor]: Taking taylor expansion of N in N 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [taylor]: Taking taylor expansion of 1.0 in N 1.881 * [backup-simplify]: Simplify 1.0 into 1.0 1.882 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.882 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.883 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.883 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3) in N 1.884 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.884 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.884 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of 1.0 in N 1.884 * [backup-simplify]: Simplify 1.0 into 1.0 1.884 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.884 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.886 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.886 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.887 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.889 * [backup-simplify]: Simplify (* (log (sqrt 1.0)) (log (sqrt 1.0))) into (pow (log (sqrt 1.0)) 2) 1.891 * [backup-simplify]: Simplify (* (log (sqrt 1.0)) (pow (log (sqrt 1.0)) 2)) into (pow (log (sqrt 1.0)) 3) 1.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.893 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.894 * [backup-simplify]: Simplify (* (- (log (sqrt 1.0)) (log N)) (- (log (sqrt 1.0)) (log N))) into (pow (- (log (sqrt 1.0)) (log N)) 2) 1.895 * [backup-simplify]: Simplify (* (- (log (sqrt 1.0)) (log N)) (pow (- (log (sqrt 1.0)) (log N)) 2)) into (pow (- (log (sqrt 1.0)) (log N)) 3) 1.897 * [backup-simplify]: Simplify (+ (pow (log (sqrt 1.0)) 3) (pow (- (log (sqrt 1.0)) (log N)) 3)) into (- (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 2 (pow (log (sqrt 1.0)) 3))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (pow (log N) 3))) 1.900 * [backup-simplify]: Simplify (- (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 2 (pow (log (sqrt 1.0)) 3))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (pow (log N) 3))) into (- (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 2 (pow (log (sqrt 1.0)) 3))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (pow (log N) 3))) 1.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.911 * [backup-simplify]: Simplify (+ (* (log (sqrt 1.0)) (/ 1/2 (pow (sqrt 1.0) 2))) (* (/ 1/2 (pow (sqrt 1.0) 2)) (log (sqrt 1.0)))) into (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 2)) 1.921 * [backup-simplify]: Simplify (+ (* (log (sqrt 1.0)) (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 2))) (* (/ 1/2 (pow (sqrt 1.0) 2)) (pow (log (sqrt 1.0)) 2))) into (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2))) 1.922 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.937 * [backup-simplify]: Simplify (+ (* (- (log (sqrt 1.0)) (log N)) (/ 1/2 (pow (sqrt 1.0) 2))) (* (/ 1/2 (pow (sqrt 1.0) 2)) (- (log (sqrt 1.0)) (log N)))) into (- (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 2)) (/ (log N) (pow (sqrt 1.0) 2))) 1.941 * [backup-simplify]: Simplify (+ (* (- (log (sqrt 1.0)) (log N)) (- (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 2)) (/ (log N) (pow (sqrt 1.0) 2)))) (* (/ 1/2 (pow (sqrt 1.0) 2)) (pow (- (log (sqrt 1.0)) (log N)) 2))) into (- (+ (* 3/2 (/ (pow (log N) 2) (pow (sqrt 1.0) 2))) (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2)))) (* 3 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 2)))) 1.949 * [backup-simplify]: Simplify (+ (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2))) (- (+ (* 3/2 (/ (pow (log N) 2) (pow (sqrt 1.0) 2))) (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2)))) (* 3 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 2))))) into (- (+ (* 3/2 (/ (pow (log N) 2) (pow (sqrt 1.0) 2))) (* 3 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2)))) (* 3 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 2)))) 1.954 * [backup-simplify]: Simplify (- (+ (* 3/2 (/ (pow (log N) 2) (pow (sqrt 1.0) 2))) (* 3 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2)))) (* 3 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 2)))) into (- (+ (* 3/2 (/ (pow (log N) 2) (pow (sqrt 1.0) 2))) (* 3 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2)))) (* 3 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 2)))) 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.979 * [backup-simplify]: Simplify (+ (* (log (sqrt 1.0)) (/ -1/4 (pow (sqrt 1.0) 4))) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) (* (/ -1/4 (pow (sqrt 1.0) 4)) (log (sqrt 1.0))))) into (- (* 1/4 (/ 1 (pow (sqrt 1.0) 4))) (* 1/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4)))) 1.994 * [backup-simplify]: Simplify (+ (* (log (sqrt 1.0)) (- (* 1/4 (/ 1 (pow (sqrt 1.0) 4))) (* 1/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))))) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 2))) (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow (log (sqrt 1.0)) 2)))) into (- (* 3/4 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/4 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))) 1.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 2.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.028 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 2.034 * [backup-simplify]: Simplify (+ (* (- (log (sqrt 1.0)) (log N)) (/ -1/4 (pow (sqrt 1.0) 4))) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) (* (/ -1/4 (pow (sqrt 1.0) 4)) (- (log (sqrt 1.0)) (log N))))) into (- (+ (* 1/2 (/ (log N) (pow (sqrt 1.0) 4))) (* 1/4 (/ 1 (pow (sqrt 1.0) 4)))) (* 1/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4)))) 2.043 * [backup-simplify]: Simplify (+ (* (- (log (sqrt 1.0)) (log N)) (- (+ (* 1/2 (/ (log N) (pow (sqrt 1.0) 4))) (* 1/4 (/ 1 (pow (sqrt 1.0) 4)))) (* 1/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))))) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) (- (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 2)) (/ (log N) (pow (sqrt 1.0) 2)))) (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow (- (log (sqrt 1.0)) (log N)) 2)))) into (- (+ (* 3/4 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/2 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 4)))) (+ (* 3/4 (/ (log N) (pow (sqrt 1.0) 4))) (+ (* 3/4 (/ (pow (log N) 2) (pow (sqrt 1.0) 4))) (* 3/4 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))))) 2.057 * [backup-simplify]: Simplify (+ (- (* 3/4 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/4 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))) (- (+ (* 3/4 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/2 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 4)))) (+ (* 3/4 (/ (log N) (pow (sqrt 1.0) 4))) (+ (* 3/4 (/ (pow (log N) 2) (pow (sqrt 1.0) 4))) (* 3/4 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4))))))) into (- (+ (* 3/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/2 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 4)))) (+ (* 3/4 (/ (log N) (pow (sqrt 1.0) 4))) (+ (* 3/4 (/ (pow (log N) 2) (pow (sqrt 1.0) 4))) (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))))) 2.064 * [backup-simplify]: Simplify (- (+ (* 3/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/2 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 4)))) (+ (* 3/4 (/ (log N) (pow (sqrt 1.0) 4))) (+ (* 3/4 (/ (pow (log N) 2) (pow (sqrt 1.0) 4))) (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))))) into (- (+ (* 3/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/2 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 4)))) (+ (* 3/4 (/ (log N) (pow (sqrt 1.0) 4))) (+ (* 3/4 (/ (pow (log N) 2) (pow (sqrt 1.0) 4))) (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))))) 2.080 * [backup-simplify]: Simplify (+ (* (- (+ (* 3/2 (/ (log (sqrt 1.0)) (pow (sqrt 1.0) 4))) (* 3/2 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 4)))) (+ (* 3/4 (/ (log N) (pow (sqrt 1.0) 4))) (+ (* 3/4 (/ (pow (log N) 2) (pow (sqrt 1.0) 4))) (* 3/2 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 4)))))) (pow N 2)) (+ (* (- (+ (* 3/2 (/ (pow (log N) 2) (pow (sqrt 1.0) 2))) (* 3 (/ (pow (log (sqrt 1.0)) 2) (pow (sqrt 1.0) 2)))) (* 3 (/ (* (log (sqrt 1.0)) (log N)) (pow (sqrt 1.0) 2)))) N) (- (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 2 (pow (log (sqrt 1.0)) 3))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (pow (log N) 3))))) into (- (+ (* 2 (pow (log (sqrt 1.0)) 3)) (+ (* 3/2 (/ (* (log (sqrt 1.0)) (pow N 2)) (pow (sqrt 1.0) 4))) (+ (* 3/2 (/ (* N (pow (log N) 2)) (pow (sqrt 1.0) 2))) (+ (* 3 (/ (* (pow (log (sqrt 1.0)) 2) N) (pow (sqrt 1.0) 2))) (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 3/2 (/ (* (log (sqrt 1.0)) (* (pow N 2) (log N))) (pow (sqrt 1.0) 4)))))))) (+ (* 3 (/ (* (log (sqrt 1.0)) (* N (log N))) (pow (sqrt 1.0) 2))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (+ (pow (log N) 3) (+ (* 3/4 (/ (* (pow N 2) (log N)) (pow (sqrt 1.0) 4))) (+ (* 3/2 (/ (* (pow (log (sqrt 1.0)) 2) (pow N 2)) (pow (sqrt 1.0) 4))) (* 3/4 (/ (* (pow N 2) (pow (log N) 2)) (pow (sqrt 1.0) 4))))))))) 2.080 * [backup-simplify]: Simplify (+ (pow (log (sqrt (+ (/ 1 N) 1.0))) 3) (pow (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N))) 3)) into (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) 2.080 * [approximate]: Taking taylor expansion of (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) in (N) around 0 2.080 * [taylor]: Taking taylor expansion of (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) in N 2.080 * [taylor]: Taking taylor expansion of (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) in N 2.080 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.081 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.081 * [taylor]: Taking taylor expansion of N in N 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.081 * [taylor]: Taking taylor expansion of N in N 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of 1.0 in N 2.081 * [backup-simplify]: Simplify 1.0 into 1.0 2.081 * [backup-simplify]: Simplify (+ 1 0) into 1 2.081 * [backup-simplify]: Simplify (sqrt 0) into 0 2.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.083 * [backup-simplify]: Simplify (* 0 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.085 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.087 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.087 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.088 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.088 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 N) 1.0))) 3) in N 2.088 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.088 * [taylor]: Taking taylor expansion of N in N 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [taylor]: Taking taylor expansion of 1.0 in N 2.088 * [backup-simplify]: Simplify 1.0 into 1.0 2.089 * [backup-simplify]: Simplify (+ 1 0) into 1 2.089 * [backup-simplify]: Simplify (sqrt 0) into 0 2.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.090 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.090 * [taylor]: Taking taylor expansion of (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) in N 2.090 * [taylor]: Taking taylor expansion of (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) in N 2.090 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.090 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of 1.0 in N 2.090 * [backup-simplify]: Simplify 1.0 into 1.0 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (sqrt 0) into 0 2.092 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.092 * [backup-simplify]: Simplify (* 0 0) into 0 2.092 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.095 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.096 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.097 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.104 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.104 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 N) 1.0))) 3) in N 2.104 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [taylor]: Taking taylor expansion of 1.0 in N 2.105 * [backup-simplify]: Simplify 1.0 into 1.0 2.105 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [backup-simplify]: Simplify (sqrt 0) into 0 2.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.106 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.107 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.108 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.109 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.110 * [backup-simplify]: Simplify (* (+ (log (- +nan.0)) (log N)) (+ (log (- +nan.0)) (log N))) into (pow (+ (log (- +nan.0)) (log N)) 2) 2.111 * [backup-simplify]: Simplify (* (+ (log (- +nan.0)) (log N)) (pow (+ (log (- +nan.0)) (log N)) 2)) into (pow (+ (log (- +nan.0)) (log N)) 3) 2.111 * [backup-simplify]: Simplify (* (log +nan.0) (log +nan.0)) into (pow (log +nan.0) 2) 2.113 * [backup-simplify]: Simplify (* (log +nan.0) (pow (log +nan.0) 2)) into (pow (log +nan.0) 3) 2.114 * [backup-simplify]: Simplify (+ (pow (+ (log (- +nan.0)) (log N)) 3) (pow (log +nan.0) 3)) into (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log N) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log N))) (+ (pow (log N) 3) (pow (log +nan.0) 3))))) 2.117 * [backup-simplify]: Simplify (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log N) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log N))) (+ (pow (log N) 3) (pow (log +nan.0) 3))))) into (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log N) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log N))) (+ (pow (log N) 3) (pow (log +nan.0) 3))))) 2.118 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.119 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.123 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.129 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.130 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) +nan.0) (* +nan.0 (+ (log (- +nan.0)) (log N)))) into (- (+ (* +nan.0 (log (- +nan.0))) (- (* +nan.0 (log N))))) 2.132 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) (- (+ (* +nan.0 (log (- +nan.0))) (- (* +nan.0 (log N)))))) (* +nan.0 (pow (+ (log (- +nan.0)) (log N)) 2))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (* +nan.0 (pow (log (- +nan.0)) 2))))))) 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.134 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.139 * [backup-simplify]: Simplify (+ (* (log +nan.0) +nan.0) (* +nan.0 (log +nan.0))) into (- (* +nan.0 (log +nan.0))) 2.142 * [backup-simplify]: Simplify (+ (* (log +nan.0) (- (* +nan.0 (log +nan.0)))) (* +nan.0 (pow (log +nan.0) 2))) into (- (* +nan.0 (pow (log +nan.0) 2))) 2.146 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (* +nan.0 (pow (log (- +nan.0)) 2))))))) (- (* +nan.0 (pow (log +nan.0) 2)))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) 2.151 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) 2.152 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.153 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.158 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.168 * [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 2.169 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.170 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 (+ (log (- +nan.0)) (log N))))) into (- (+ (* +nan.0 (log (- +nan.0))) (- (+ +nan.0 (- (* +nan.0 (log N))))))) 2.173 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) (- (+ (* +nan.0 (log (- +nan.0))) (- (+ +nan.0 (- (* +nan.0 (log N)))))))) (+ (* +nan.0 (- (+ (* +nan.0 (log (- +nan.0))) (- (* +nan.0 (log N)))))) (* +nan.0 (pow (+ (log (- +nan.0)) (log N)) 2)))) into (- (+ (* +nan.0 (log (- +nan.0))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log N))))))))))) 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.184 * [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 2.186 * [backup-simplify]: Simplify (+ (* (log +nan.0) +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 (log +nan.0)))) into (- (+ (* +nan.0 (log +nan.0)) (- +nan.0))) 2.198 * [backup-simplify]: Simplify (+ (* (log +nan.0) (- (+ (* +nan.0 (log +nan.0)) (- +nan.0)))) (+ (* +nan.0 (- (* +nan.0 (log +nan.0)))) (* +nan.0 (pow (log +nan.0) 2)))) into (- (+ (* +nan.0 (log +nan.0)) (- (* +nan.0 (pow (log +nan.0) 2))))) 2.204 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (log (- +nan.0))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log N))))))))))) (- (+ (* +nan.0 (log +nan.0)) (- (* +nan.0 (pow (log +nan.0) 2)))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log +nan.0) 2)) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log (- +nan.0)))))))))))))))) 2.211 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log +nan.0) 2)) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log (- +nan.0)))))))))))))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log +nan.0) 2)) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log (- +nan.0)))))))))))))))) 2.227 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (- +nan.0)) (log (/ 1 N)))) (- (+ (* +nan.0 (pow (log +nan.0) 2)) (- (+ (* +nan.0 (pow (log (/ 1 N)) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log (/ 1 N))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log (- +nan.0)))))))))))))))) (pow (/ 1 N) 2)) (+ (* (- (+ (* +nan.0 (* (log (- +nan.0)) (log (/ 1 N)))) (- (+ (* +nan.0 (pow (log (/ 1 N)) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) (/ 1 N)) (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log (/ 1 N)) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ 1 N)))) (+ (pow (log (/ 1 N)) 3) (pow (log +nan.0) 3))))))) into (- (+ (* 3 (* (log (- +nan.0)) (pow (log (/ 1 N)) 2))) (+ (pow (log +nan.0) 3) (+ (pow (log (/ 1 N)) 3) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ 1 N)))) (pow (log (- +nan.0)) 3))))) (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ 1 N))) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) N)) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) N)) (- (+ (* +nan.0 (/ (log +nan.0) (pow N 2))) (- (+ (* +nan.0 (/ (log (/ 1 N)) (pow N 2))) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ 1 N))) N)) (- (+ (* +nan.0 (/ (pow (log (/ 1 N)) 2) N)) (- (+ (* +nan.0 (/ (log (- +nan.0)) (pow N 2))) (- (* +nan.0 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))))))))))))))))))))) 2.227 * [backup-simplify]: Simplify (+ (pow (log (sqrt (+ (/ 1 (- N)) 1.0))) 3) (pow (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))) 3)) into (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) 2.227 * [approximate]: Taking taylor expansion of (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) in (N) around 0 2.227 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) in N 2.227 * [taylor]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) in N 2.227 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.227 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.227 * [taylor]: Taking taylor expansion of 1.0 in N 2.227 * [backup-simplify]: Simplify 1.0 into 1.0 2.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.227 * [taylor]: Taking taylor expansion of N in N 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (/ 1 1) into 1 2.228 * [backup-simplify]: Simplify (- 1) into -1 2.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.229 * [backup-simplify]: Simplify (sqrt 0) into 0 2.229 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.230 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.230 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3) in N 2.230 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.230 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.230 * [taylor]: Taking taylor expansion of -1 in N 2.230 * [backup-simplify]: Simplify -1 into -1 2.230 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.230 * [taylor]: Taking taylor expansion of N in N 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.230 * [taylor]: Taking taylor expansion of 1.0 in N 2.230 * [backup-simplify]: Simplify 1.0 into 1.0 2.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.230 * [taylor]: Taking taylor expansion of N in N 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [backup-simplify]: Simplify (- 1) into -1 2.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.231 * [backup-simplify]: Simplify (sqrt 0) into 0 2.232 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.232 * [backup-simplify]: Simplify (* 0 0) into 0 2.232 * [backup-simplify]: Simplify (* -1 0) into 0 2.232 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.233 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.236 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.237 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.238 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.239 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.240 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.240 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) in N 2.240 * [taylor]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) in N 2.240 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.240 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.240 * [taylor]: Taking taylor expansion of 1.0 in N 2.240 * [backup-simplify]: Simplify 1.0 into 1.0 2.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [backup-simplify]: Simplify (- 1) into -1 2.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.241 * [backup-simplify]: Simplify (sqrt 0) into 0 2.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.242 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.242 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3) in N 2.242 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.242 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.242 * [taylor]: Taking taylor expansion of -1 in N 2.242 * [backup-simplify]: Simplify -1 into -1 2.242 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.242 * [taylor]: Taking taylor expansion of N in N 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.242 * [taylor]: Taking taylor expansion of 1.0 in N 2.242 * [backup-simplify]: Simplify 1.0 into 1.0 2.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.242 * [taylor]: Taking taylor expansion of N in N 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [backup-simplify]: Simplify (- 1) into -1 2.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.243 * [backup-simplify]: Simplify (sqrt 0) into 0 2.244 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.244 * [backup-simplify]: Simplify (* 0 0) into 0 2.244 * [backup-simplify]: Simplify (* -1 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.245 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (- 0) into 0 2.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.247 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.249 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.250 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.251 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.251 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.252 * [backup-simplify]: Simplify (* (log +nan.0) (log +nan.0)) into (pow (log +nan.0) 2) 2.253 * [backup-simplify]: Simplify (* (log +nan.0) (pow (log +nan.0) 2)) into (pow (log +nan.0) 3) 2.254 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.255 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.256 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.257 * [backup-simplify]: Simplify (* (+ (log (- +nan.0)) (log N)) (+ (log (- +nan.0)) (log N))) into (pow (+ (log (- +nan.0)) (log N)) 2) 2.258 * [backup-simplify]: Simplify (* (+ (log (- +nan.0)) (log N)) (pow (+ (log (- +nan.0)) (log N)) 2)) into (pow (+ (log (- +nan.0)) (log N)) 3) 2.259 * [backup-simplify]: Simplify (+ (pow (log +nan.0) 3) (pow (+ (log (- +nan.0)) (log N)) 3)) into (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log N) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log N))) (+ (pow (log N) 3) (pow (log +nan.0) 3))))) 2.262 * [backup-simplify]: Simplify (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log N) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log N))) (+ (pow (log N) 3) (pow (log +nan.0) 3))))) into (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log N) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log N))) (+ (pow (log N) 3) (pow (log +nan.0) 3))))) 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (- 0) into 0 2.263 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.265 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.270 * [backup-simplify]: Simplify (+ (* (log +nan.0) +nan.0) (* +nan.0 (log +nan.0))) into (- (* +nan.0 (log +nan.0))) 2.273 * [backup-simplify]: Simplify (+ (* (log +nan.0) (- (* +nan.0 (log +nan.0)))) (* +nan.0 (pow (log +nan.0) 2))) into (- (* +nan.0 (pow (log +nan.0) 2))) 2.274 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.275 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (- 0) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.280 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.281 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 2.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.293 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.294 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) +nan.0) (* +nan.0 (+ (log (- +nan.0)) (log N)))) into (- (+ (* +nan.0 (log (- +nan.0))) (- (* +nan.0 (log N))))) 2.296 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) (- (+ (* +nan.0 (log (- +nan.0))) (- (* +nan.0 (log N)))))) (* +nan.0 (pow (+ (log (- +nan.0)) (log N)) 2))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (* +nan.0 (pow (log (- +nan.0)) 2))))))) 2.300 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (log +nan.0) 2))) (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (* +nan.0 (pow (log (- +nan.0)) 2)))))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) 2.306 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) 2.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (- 0) into 0 2.307 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.317 * [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 2.319 * [backup-simplify]: Simplify (+ (* (log +nan.0) +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 (log +nan.0)))) into (- (+ (* +nan.0 (log +nan.0)) (- +nan.0))) 2.325 * [backup-simplify]: Simplify (+ (* (log +nan.0) (- (+ (* +nan.0 (log +nan.0)) (- +nan.0)))) (+ (* +nan.0 (- (* +nan.0 (log +nan.0)))) (* +nan.0 (pow (log +nan.0) 2)))) into (- (+ (* +nan.0 (log +nan.0)) (- (* +nan.0 (pow (log +nan.0) 2))))) 2.326 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.326 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.332 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.334 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 2.343 * [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 2.344 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.345 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 (+ (log (- +nan.0)) (log N))))) into (- (+ (* +nan.0 (log (- +nan.0))) (- (+ +nan.0 (- (* +nan.0 (log N))))))) 2.348 * [backup-simplify]: Simplify (+ (* (+ (log (- +nan.0)) (log N)) (- (+ (* +nan.0 (log (- +nan.0))) (- (+ +nan.0 (- (* +nan.0 (log N)))))))) (+ (* +nan.0 (- (+ (* +nan.0 (log (- +nan.0))) (- (* +nan.0 (log N)))))) (* +nan.0 (pow (+ (log (- +nan.0)) (log N)) 2)))) into (- (+ (* +nan.0 (log (- +nan.0))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log N))))))))))) 2.355 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (log +nan.0)) (- (* +nan.0 (pow (log +nan.0) 2))))) (- (+ (* +nan.0 (log (- +nan.0))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log N)))))))))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (log (- +nan.0))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))))))))) 2.364 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (log (- +nan.0))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))))))))) into (- (+ (* +nan.0 (* (log (- +nan.0)) (log N))) (- (+ (* +nan.0 (pow (log +nan.0) 2)) (- (+ (* +nan.0 (pow (log N) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log N)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log (- +nan.0)))))))))))))))) 2.386 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (- +nan.0)) (log (/ 1 (- N))))) (- (+ (* +nan.0 (pow (log +nan.0) 2)) (- (+ (* +nan.0 (pow (log (/ 1 (- N))) 2)) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (log (/ 1 (- N)))) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (log (- +nan.0)))))))))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (+ (* +nan.0 (* (log (- +nan.0)) (log (/ 1 (- N))))) (- (+ (* +nan.0 (pow (log (/ 1 (- N))) 2)) (- (+ (* +nan.0 (pow (log (- +nan.0)) 2)) (- (* +nan.0 (pow (log +nan.0) 2))))))))) (/ 1 (- N))) (+ (pow (log (- +nan.0)) 3) (+ (* 3 (* (log (- +nan.0)) (pow (log (/ 1 (- N))) 2))) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ 1 (- N))))) (+ (pow (log (/ 1 (- N))) 3) (pow (log +nan.0) 3))))))) into (- (+ (pow (log +nan.0) 3) (+ (pow (log (/ -1 N)) 3) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ -1 N)))) (+ (pow (log (- +nan.0)) 3) (* 3 (* (log (- +nan.0)) (pow (log (/ -1 N)) 2))))))) (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) N)) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) N)) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ -1 N))) (pow N 2))) (- (+ (* +nan.0 (/ (log +nan.0) (pow N 2))) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ -1 N))) N)) (- (+ (* +nan.0 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (log (- +nan.0)) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log (/ -1 N)) 2) N)) (- (* +nan.0 (/ (log (/ -1 N)) (pow N 2)))))))))))))))))))))))) 2.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 2.387 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 2.387 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.387 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.387 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.387 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.387 * [taylor]: Taking taylor expansion of N in N 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.387 * [taylor]: Taking taylor expansion of 1.0 in N 2.387 * [backup-simplify]: Simplify 1.0 into 1.0 2.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.388 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.388 * [backup-simplify]: Simplify (+ 1 0) into 1 2.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.390 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.390 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.390 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.390 * [taylor]: Taking taylor expansion of N in N 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [taylor]: Taking taylor expansion of 1.0 in N 2.390 * [backup-simplify]: Simplify 1.0 into 1.0 2.390 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.390 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.391 * [backup-simplify]: Simplify (+ 1 0) into 1 2.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.392 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.392 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.399 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.418 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.420 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 2.420 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 2.420 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.420 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.420 * [taylor]: Taking taylor expansion of N in N 2.420 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (/ 1 1) into 1 2.421 * [taylor]: Taking taylor expansion of 1.0 in N 2.421 * [backup-simplify]: Simplify 1.0 into 1.0 2.421 * [backup-simplify]: Simplify (+ 1 0) into 1 2.421 * [backup-simplify]: Simplify (sqrt 0) into 0 2.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.422 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.422 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.422 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.422 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.423 * [taylor]: Taking taylor expansion of 1.0 in N 2.423 * [backup-simplify]: Simplify 1.0 into 1.0 2.423 * [backup-simplify]: Simplify (+ 1 0) into 1 2.423 * [backup-simplify]: Simplify (sqrt 0) into 0 2.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.424 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.425 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.427 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.431 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.441 * [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 2.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.442 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.442 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 2.442 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.442 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.442 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.442 * [taylor]: Taking taylor expansion of 1.0 in N 2.442 * [backup-simplify]: Simplify 1.0 into 1.0 2.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [backup-simplify]: Simplify (- 1) into -1 2.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.443 * [backup-simplify]: Simplify (sqrt 0) into 0 2.444 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.444 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.444 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.444 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.444 * [taylor]: Taking taylor expansion of 1.0 in N 2.444 * [backup-simplify]: Simplify 1.0 into 1.0 2.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.444 * [taylor]: Taking taylor expansion of N in N 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.445 * [backup-simplify]: Simplify (- 1) into -1 2.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.445 * [backup-simplify]: Simplify (sqrt 0) into 0 2.446 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.446 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.446 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (- 0) into 0 2.447 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.449 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- 0) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.464 * [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 2.464 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.464 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.464 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 2.464 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.464 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.464 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.464 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.464 * [taylor]: Taking taylor expansion of N in N 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of 1.0 in N 2.464 * [backup-simplify]: Simplify 1.0 into 1.0 2.465 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.465 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.465 * [backup-simplify]: Simplify (+ 1 0) into 1 2.466 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.467 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.467 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.467 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.467 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.467 * [taylor]: Taking taylor expansion of N in N 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [taylor]: Taking taylor expansion of 1.0 in N 2.467 * [backup-simplify]: Simplify 1.0 into 1.0 2.467 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.473 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.474 * [backup-simplify]: Simplify (+ 1 0) into 1 2.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.475 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.476 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.483 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.501 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.504 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 2.504 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 2.504 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.504 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.504 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 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 2.504 * [backup-simplify]: Simplify (/ 1 1) into 1 2.504 * [taylor]: Taking taylor expansion of 1.0 in N 2.504 * [backup-simplify]: Simplify 1.0 into 1.0 2.505 * [backup-simplify]: Simplify (+ 1 0) 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 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.506 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.506 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 2.506 * [backup-simplify]: Simplify (/ 1 1) into 1 2.506 * [taylor]: Taking taylor expansion of 1.0 in N 2.506 * [backup-simplify]: Simplify 1.0 into 1.0 2.507 * [backup-simplify]: Simplify (+ 1 0) 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 (log +nan.0) into (log +nan.0) 2.508 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.510 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.525 * [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 2.525 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.525 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.525 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 2.525 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.525 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.525 * [taylor]: Taking taylor expansion of 1.0 in N 2.526 * [backup-simplify]: Simplify 1.0 into 1.0 2.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [backup-simplify]: Simplify (/ 1 1) into 1 2.526 * [backup-simplify]: Simplify (- 1) into -1 2.526 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.527 * [backup-simplify]: Simplify (sqrt 0) into 0 2.527 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.528 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.528 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.528 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.528 * [taylor]: Taking taylor expansion of 1.0 in N 2.528 * [backup-simplify]: Simplify 1.0 into 1.0 2.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.528 * [taylor]: Taking taylor expansion of N in N 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [backup-simplify]: Simplify (- 1) into -1 2.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.529 * [backup-simplify]: Simplify (sqrt 0) into 0 2.529 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.530 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.530 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (- 0) into 0 2.531 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.533 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (- 0) into 0 2.537 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.547 * [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 2.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.547 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.547 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.547 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 2.547 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.547 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.547 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.547 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.547 * [taylor]: Taking taylor expansion of N in N 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.547 * [taylor]: Taking taylor expansion of 1.0 in N 2.547 * [backup-simplify]: Simplify 1.0 into 1.0 2.548 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.548 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.548 * [backup-simplify]: Simplify (+ 1 0) into 1 2.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.550 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.550 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.550 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.550 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.550 * [taylor]: Taking taylor expansion of N in N 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [taylor]: Taking taylor expansion of 1.0 in N 2.550 * [backup-simplify]: Simplify 1.0 into 1.0 2.550 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.550 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.551 * [backup-simplify]: Simplify (+ 1 0) into 1 2.551 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.552 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.553 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.566 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.570 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.584 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.585 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.587 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 2.587 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 2.588 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.588 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 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 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of 1.0 in N 2.588 * [backup-simplify]: Simplify 1.0 into 1.0 2.588 * [backup-simplify]: Simplify (+ 1 0) into 1 2.588 * [backup-simplify]: Simplify (sqrt 0) into 0 2.589 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.589 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.590 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.590 * [taylor]: Taking taylor expansion of N in N 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (/ 1 1) into 1 2.590 * [taylor]: Taking taylor expansion of 1.0 in N 2.590 * [backup-simplify]: Simplify 1.0 into 1.0 2.590 * [backup-simplify]: Simplify (+ 1 0) into 1 2.590 * [backup-simplify]: Simplify (sqrt 0) into 0 2.591 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.591 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.592 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.594 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.598 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.608 * [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 2.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.609 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.609 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 2.609 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.609 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.609 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.609 * [taylor]: Taking taylor expansion of 1.0 in N 2.609 * [backup-simplify]: Simplify 1.0 into 1.0 2.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.609 * [taylor]: Taking taylor expansion of N in N 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [backup-simplify]: Simplify (- 1) into -1 2.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.610 * [backup-simplify]: Simplify (sqrt 0) into 0 2.610 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.611 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.611 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.611 * [taylor]: Taking taylor expansion of 1.0 in N 2.611 * [backup-simplify]: Simplify 1.0 into 1.0 2.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.611 * [taylor]: Taking taylor expansion of N in N 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [backup-simplify]: Simplify (- 1) into -1 2.612 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.612 * [backup-simplify]: Simplify (sqrt 0) into 0 2.613 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.613 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.613 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (- 0) into 0 2.614 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.616 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (- 0) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.630 * [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 2.630 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.630 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.631 * * * [progress]: simplifying candidates 2.632 * [simplify]: Simplifying: (* (exp (pow (log (sqrt (+ N 1.0))) 3)) (exp (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (log (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (exp (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (* (cbrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (cbrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)))) (cbrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (* (* (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (sqrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (sqrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (pow (pow (log (sqrt (+ N 1.0))) 3) 3) (pow (pow (log (/ (sqrt (+ N 1.0)) N)) 3) 3)) (+ (* (pow (log (sqrt (+ N 1.0))) 3) (pow (log (sqrt (+ N 1.0))) 3)) (- (* (pow (log (/ (sqrt (+ N 1.0)) N)) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (* (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)))) (- (* (pow (log (sqrt (+ N 1.0))) 3) (pow (log (sqrt (+ N 1.0))) 3)) (* (pow (log (/ (sqrt (+ N 1.0)) N)) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (- (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (+ (* 2 (pow (log (sqrt 1.0)) 3)) (+ (* 3/2 (/ (* (log (sqrt 1.0)) (pow N 2)) (pow (sqrt 1.0) 4))) (+ (* 3/2 (/ (* N (pow (log N) 2)) (pow (sqrt 1.0) 2))) (+ (* 3 (/ (* (pow (log (sqrt 1.0)) 2) N) (pow (sqrt 1.0) 2))) (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 3/2 (/ (* (log (sqrt 1.0)) (* (pow N 2) (log N))) (pow (sqrt 1.0) 4)))))))) (+ (* 3 (/ (* (log (sqrt 1.0)) (* N (log N))) (pow (sqrt 1.0) 2))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (+ (pow (log N) 3) (+ (* 3/4 (/ (* (pow N 2) (log N)) (pow (sqrt 1.0) 4))) (+ (* 3/2 (/ (* (pow (log (sqrt 1.0)) 2) (pow N 2)) (pow (sqrt 1.0) 4))) (* 3/4 (/ (* (pow N 2) (pow (log N) 2)) (pow (sqrt 1.0) 4))))))))) (- (+ (* 3 (* (log (- +nan.0)) (pow (log (/ 1 N)) 2))) (+ (pow (log +nan.0) 3) (+ (pow (log (/ 1 N)) 3) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ 1 N)))) (pow (log (- +nan.0)) 3))))) (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ 1 N))) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) N)) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) N)) (- (+ (* +nan.0 (/ (log +nan.0) (pow N 2))) (- (+ (* +nan.0 (/ (log (/ 1 N)) (pow N 2))) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ 1 N))) N)) (- (+ (* +nan.0 (/ (pow (log (/ 1 N)) 2) N)) (- (+ (* +nan.0 (/ (log (- +nan.0)) (pow N 2))) (- (* +nan.0 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))))))))))))))))))))) (- (+ (pow (log +nan.0) 3) (+ (pow (log (/ -1 N)) 3) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ -1 N)))) (+ (pow (log (- +nan.0)) 3) (* 3 (* (log (- +nan.0)) (pow (log (/ -1 N)) 2))))))) (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) N)) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) N)) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ -1 N))) (pow N 2))) (- (+ (* +nan.0 (/ (log +nan.0) (pow N 2))) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ -1 N))) N)) (- (+ (* +nan.0 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (log (- +nan.0)) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log (/ -1 N)) 2) N)) (- (* +nan.0 (/ (log (/ -1 N)) (pow N 2)))))))))))))))))))))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.633 * [simplify]: Sending expressions to egg_math: (* (exp (pow (log (sqrt (+ h0 h1))) 3)) (exp (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (log (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (exp (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (* (cbrt (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (cbrt (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3)))) (cbrt (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (* (* (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3)) (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) (sqrt (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3))) 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(* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) (- (+ (log (sqrt h1)) (* 1/2 (/ h0 (pow (sqrt h1) 2)))) (* 1/4 (/ (pow h0 2) (pow (sqrt h1) 4)))) (- (log h2) (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) (- (log h2) (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) (- (+ (log (sqrt h1)) (* 1/2 (/ h0 (pow (sqrt h1) 2)))) (* 1/4 (/ (pow h0 2) (pow (sqrt h1) 4)))) (- (log h2) (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) (- (log h2) (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 2)))))) 2.640 * * [simplify]: iteration 0 : 706 enodes (cost 1109 ) 2.651 * * [simplify]: iteration 1 : 2776 enodes (cost 1035 ) 2.691 * * [simplify]: iteration 2 : 5002 enodes (cost 1035 ) 2.695 * * * [progress]: adding candidates to table 3.076 * [progress]: [Phase 3 of 3] Extracting. 3.076 * * [regime]: Finding splitpoints for: (# # #) 3.078 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.078 * * * * [regimes]: Trying to branch on N from (# # #) 3.103 * * * [regime]: Found split indices: #