14.966 * [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 ) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.077 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [backup-simplify]: Simplify 1.0 into 1.0 0.078 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.078 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.078 * [taylor]: Taking taylor expansion of (log N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (log 1) into 0 0.078 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.079 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.079 * [taylor]: Taking taylor expansion of (log N) 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 * [backup-simplify]: Simplify (log 1) into 0 0.080 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.080 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.080 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.080 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [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)) 0.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.096 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.098 * [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))) 0.098 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.098 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (log 1) into 0 0.099 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (log 1) into 0 0.099 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.099 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.099 * [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 0.100 * [backup-simplify]: Simplify (log 1) into 0 0.100 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.101 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.101 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.102 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [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 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.135 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.135 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.135 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.135 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (- 1) into -1 0.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.136 * [backup-simplify]: Simplify (log -1) into (log -1) 0.137 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.137 * [taylor]: Taking taylor expansion of -1 in N 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [backup-simplify]: Simplify (log -1) into (log -1) 0.137 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.138 * [backup-simplify]: Simplify (log -1) into (log -1) 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ -1 1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.140 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.141 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.147 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [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 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.157 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [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 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [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 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.171 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.172 * [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)))) 0.172 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.172 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.172 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.172 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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)) 0.183 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.184 * [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)))) 0.184 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.184 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.203 * [backup-simplify]: Simplify -0.5 into -0.5 0.203 * [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)))) 0.203 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.203 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (- 1) into -1 0.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (log -1) into (log -1) 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.206 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.211 * [backup-simplify]: Simplify -1.0 into -1.0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [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 0.218 * [backup-simplify]: Simplify -0.5 into -0.5 0.218 * [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)))) 0.218 * * * [progress]: simplifying candidates 0.219 * [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)))) 0.219 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.223 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.227 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.235 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.271 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.272 * * * [progress]: adding candidates to table 0.364 * * [progress]: iteration 2 / 4 0.364 * * * [progress]: picking best candidate 0.369 * * * * [pick]: Picked # 0.369 * * * [progress]: localizing error 0.373 * * * [progress]: generating rewritten candidates 0.373 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.379 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.398 * * * [progress]: generating series expansions 0.398 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.398 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.398 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.398 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.398 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.399 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of 1.0 in N 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.399 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.400 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.400 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.400 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.400 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.401 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.401 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.402 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.402 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.403 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.412 * [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)) 0.412 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.414 * [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))) 0.414 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.414 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.414 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.414 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of 1.0 in N 0.414 * [backup-simplify]: Simplify 1.0 into 1.0 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (* 0 1) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.416 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.416 * [backup-simplify]: Simplify (log 1) into 0 0.416 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.416 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 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 N) 1.0) in N 0.416 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (* 0 1) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.418 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.418 * [backup-simplify]: Simplify (log 1) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.436 * [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 0.436 * [backup-simplify]: Simplify -0.5 into -0.5 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.446 * [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 0.446 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.447 * [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)))) 0.447 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.447 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.447 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.447 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.447 * [taylor]: Taking taylor expansion of -1 in N 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.447 * [taylor]: Taking taylor expansion of N in N 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.447 * [taylor]: Taking taylor expansion of 1.0 in N 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.447 * [taylor]: Taking taylor expansion of N in N 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (- 1) into -1 0.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.448 * [backup-simplify]: Simplify (* 0 -1) into 0 0.448 * [backup-simplify]: Simplify (* -1 0) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.449 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.450 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.450 * [backup-simplify]: Simplify (log 1) into 0 0.450 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.450 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.450 * [taylor]: Taking taylor expansion of -1 in N 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.450 * [taylor]: Taking taylor expansion of 1.0 in N 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.451 * [backup-simplify]: Simplify (* 0 -1) into 0 0.451 * [backup-simplify]: Simplify (* -1 0) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.453 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.453 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.453 * [backup-simplify]: Simplify (log 1) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.457 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.461 * [backup-simplify]: Simplify -1.0 into -1.0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.470 * [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 0.470 * [backup-simplify]: Simplify -0.5 into -0.5 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.473 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.482 * [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 0.482 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.483 * [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)))) 0.483 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.483 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.483 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.483 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.483 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.483 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.484 * [backup-simplify]: Simplify 1.0 into 1.0 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.484 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.484 * [backup-simplify]: Simplify 1.0 into 1.0 0.484 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 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 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [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 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [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 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.490 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.490 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.490 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [backup-simplify]: Simplify 1.0 into 1.0 0.491 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [backup-simplify]: Simplify 1.0 into 1.0 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (* 0 1) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.493 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [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 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [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 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.506 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.506 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.506 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.506 * [taylor]: Taking taylor expansion of -1 in N 0.506 * [backup-simplify]: Simplify -1 into -1 0.506 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 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 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 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 (/ 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 (* N (- 1.0 (/ 1 N)))) in N 0.506 * [taylor]: Taking taylor expansion of -1 in N 0.506 * [backup-simplify]: Simplify -1 into -1 0.506 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 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 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 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 (/ 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 0.507 * [backup-simplify]: Simplify (- 1) into -1 0.507 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.507 * [backup-simplify]: Simplify (* 0 -1) into 0 0.507 * [backup-simplify]: Simplify (* -1 0) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.509 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.509 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.513 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.513 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [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 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [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 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.536 * * * [progress]: simplifying candidates 0.537 * [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) 0.537 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.541 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.545 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.559 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.637 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.639 * * * [progress]: adding candidates to table 0.742 * * [progress]: iteration 3 / 4 0.742 * * * [progress]: picking best candidate 0.745 * * * * [pick]: Picked # 0.746 * * * [progress]: localizing error 0.754 * * * [progress]: generating rewritten candidates 0.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.777 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.799 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.811 * * * [progress]: generating series expansions 0.811 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.811 * [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))))) 0.811 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 0.811 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.811 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.811 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.811 * [taylor]: Taking taylor expansion of N in N 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [taylor]: Taking taylor expansion of 1.0 in N 0.811 * [backup-simplify]: Simplify 1.0 into 1.0 0.812 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.812 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.813 * [backup-simplify]: Simplify (+ 1 0) into 1 0.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.814 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.814 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.814 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.814 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of 1.0 in N 0.815 * [backup-simplify]: Simplify 1.0 into 1.0 0.815 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.815 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.817 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.817 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.817 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.817 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.817 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.817 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.817 * [taylor]: Taking taylor expansion of N in N 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of 1.0 in N 0.817 * [backup-simplify]: Simplify 1.0 into 1.0 0.818 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.818 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.818 * [backup-simplify]: Simplify (+ 1 0) into 1 0.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.820 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.820 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.820 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.820 * [taylor]: Taking taylor expansion of N in N 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.820 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.820 * [taylor]: Taking taylor expansion of N in N 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of 1.0 in N 0.820 * [backup-simplify]: Simplify 1.0 into 1.0 0.820 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.821 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.821 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.822 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.823 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.823 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 0.824 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 0.825 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 0.831 * [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)) 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 0.840 * [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)) 0.842 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 0.843 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.860 * [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)) 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [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)))) 0.891 * [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)) 0.893 * [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)))) 0.895 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 0.899 * [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))) 0.900 * [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))))) 0.900 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 0.900 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.900 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.900 * [backup-simplify]: Simplify 1.0 into 1.0 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.901 * [backup-simplify]: Simplify (sqrt 0) into 0 0.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.902 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.902 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.902 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [taylor]: Taking taylor expansion of 1.0 in N 0.902 * [backup-simplify]: Simplify 1.0 into 1.0 0.903 * [backup-simplify]: Simplify (+ 1 0) into 1 0.903 * [backup-simplify]: Simplify (sqrt 0) into 0 0.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.904 * [backup-simplify]: Simplify (* 0 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.907 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.908 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 0.909 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.909 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.909 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.909 * [taylor]: Taking taylor expansion of N in N 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of 1.0 in N 0.909 * [backup-simplify]: Simplify 1.0 into 1.0 0.909 * [backup-simplify]: Simplify (+ 1 0) into 1 0.909 * [backup-simplify]: Simplify (sqrt 0) into 0 0.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.910 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.910 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.910 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.911 * [taylor]: Taking taylor expansion of N in N 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [taylor]: Taking taylor expansion of 1.0 in N 0.911 * [backup-simplify]: Simplify 1.0 into 1.0 0.911 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (sqrt 0) into 0 0.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.912 * [backup-simplify]: Simplify (* 0 0) into 0 0.913 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.915 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.917 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 0.917 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.918 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 0.919 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 0.919 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.922 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.930 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 0.935 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.945 * [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 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.951 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 0.967 * [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 0.967 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.967 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.969 * [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))))) 0.969 * [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))))))) 0.969 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 0.969 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 0.969 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.969 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.969 * [backup-simplify]: Simplify 1.0 into 1.0 0.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [backup-simplify]: Simplify (- 1) into -1 0.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.970 * [backup-simplify]: Simplify (sqrt 0) into 0 0.971 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.971 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.971 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 0.971 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 0.971 * [taylor]: Taking taylor expansion of -1 in N 0.971 * [backup-simplify]: Simplify -1 into -1 0.971 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.971 * [taylor]: Taking taylor expansion of 1.0 in N 0.971 * [backup-simplify]: Simplify 1.0 into 1.0 0.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [backup-simplify]: Simplify (- 1) into -1 0.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.972 * [backup-simplify]: Simplify (sqrt 0) into 0 0.973 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.973 * [backup-simplify]: Simplify (* 0 0) into 0 0.974 * [backup-simplify]: Simplify (* -1 0) into 0 0.974 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 0.974 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.977 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.978 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 0.980 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 0.980 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.980 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 0.980 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.980 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [backup-simplify]: Simplify 1.0 into 1.0 0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (- 1) into -1 0.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.981 * [backup-simplify]: Simplify (sqrt 0) into 0 0.982 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.982 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.982 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 0.982 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 0.982 * [taylor]: Taking taylor expansion of -1 in N 0.982 * [backup-simplify]: Simplify -1 into -1 0.982 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.982 * [taylor]: Taking taylor expansion of 1.0 in N 0.982 * [backup-simplify]: Simplify 1.0 into 1.0 0.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (- 1) into -1 0.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.983 * [backup-simplify]: Simplify (sqrt 0) into 0 0.984 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.984 * [backup-simplify]: Simplify (* 0 0) into 0 0.985 * [backup-simplify]: Simplify (* -1 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 0.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.988 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.989 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 0.990 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 0.991 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 0.992 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 0.993 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 0.993 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.996 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.004 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.006 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.011 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.011 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.022 * [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 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.027 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.029 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.038 * [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 1.038 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.038 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.040 * [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))))) 1.040 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.040 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 1.040 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.040 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.040 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.040 * [taylor]: Taking taylor expansion of N in N 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of 1.0 in N 1.040 * [backup-simplify]: Simplify 1.0 into 1.0 1.040 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.041 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.041 * [backup-simplify]: Simplify (+ 1 0) into 1 1.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.048 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.048 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.048 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.048 * [taylor]: Taking taylor expansion of N in N 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [backup-simplify]: Simplify 1.0 into 1.0 1.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.049 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.050 * [backup-simplify]: Simplify (+ 1 0) into 1 1.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.051 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.052 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.057 * [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)) 1.059 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.076 * [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)) 1.077 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.079 * [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)))) 1.079 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 1.079 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.079 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [taylor]: Taking taylor expansion of 1.0 in N 1.080 * [backup-simplify]: Simplify 1.0 into 1.0 1.080 * [backup-simplify]: Simplify (+ 1 0) into 1 1.080 * [backup-simplify]: Simplify (sqrt 0) into 0 1.081 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.081 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.081 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [taylor]: Taking taylor expansion of 1.0 in N 1.082 * [backup-simplify]: Simplify 1.0 into 1.0 1.082 * [backup-simplify]: Simplify (+ 1 0) into 1 1.082 * [backup-simplify]: Simplify (sqrt 0) into 0 1.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.083 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.084 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.086 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.100 * [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 1.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.100 * [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)))))) 1.101 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 1.101 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.101 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.101 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.101 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.101 * [taylor]: Taking taylor expansion of 1.0 in N 1.101 * [backup-simplify]: Simplify 1.0 into 1.0 1.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [backup-simplify]: Simplify (- 1) into -1 1.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.102 * [backup-simplify]: Simplify (sqrt 0) into 0 1.103 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.103 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.103 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [backup-simplify]: Simplify 1.0 into 1.0 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify (- 1) into -1 1.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.104 * [backup-simplify]: Simplify (sqrt 0) into 0 1.105 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.105 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.105 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.106 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.108 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (- 0) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.121 * [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 1.122 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.122 * [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)))))) 1.122 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.122 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 1.122 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.122 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [taylor]: Taking taylor expansion of 1.0 in N 1.123 * [backup-simplify]: Simplify 1.0 into 1.0 1.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.123 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.123 * [backup-simplify]: Simplify (+ 1 0) into 1 1.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.124 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.124 * [taylor]: Taking taylor expansion of N in N 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.125 * [taylor]: Taking taylor expansion of N in N 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [taylor]: Taking taylor expansion of 1.0 in N 1.125 * [backup-simplify]: Simplify 1.0 into 1.0 1.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.125 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.126 * [backup-simplify]: Simplify (+ 1 0) into 1 1.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.127 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.127 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.130 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [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)))) 1.146 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.149 * [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)))) 1.149 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 1.149 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.149 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [backup-simplify]: Simplify 1.0 into 1.0 1.149 * [backup-simplify]: Simplify (+ 1 0) into 1 1.150 * [backup-simplify]: Simplify (sqrt 0) into 0 1.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.151 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (/ 1 1) into 1 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [backup-simplify]: Simplify 1.0 into 1.0 1.151 * [backup-simplify]: Simplify (+ 1 0) into 1 1.152 * [backup-simplify]: Simplify (sqrt 0) into 0 1.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.153 * [backup-simplify]: Simplify (* 0 0) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.155 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.157 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.157 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.162 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.168 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.168 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.169 * [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))))))) 1.169 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 1.169 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.169 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.169 * [taylor]: Taking taylor expansion of -1 in N 1.169 * [backup-simplify]: Simplify -1 into -1 1.169 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.169 * [taylor]: Taking taylor expansion of N in N 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.170 * [taylor]: Taking taylor expansion of 1.0 in N 1.170 * [backup-simplify]: Simplify 1.0 into 1.0 1.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.170 * [taylor]: Taking taylor expansion of N in N 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (/ 1 1) into 1 1.170 * [backup-simplify]: Simplify (- 1) into -1 1.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.171 * [backup-simplify]: Simplify (sqrt 0) into 0 1.171 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.171 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.171 * [taylor]: Taking taylor expansion of -1 in N 1.171 * [backup-simplify]: Simplify -1 into -1 1.171 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.171 * [taylor]: Taking taylor expansion of N in N 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.171 * [taylor]: Taking taylor expansion of 1.0 in N 1.171 * [backup-simplify]: Simplify 1.0 into 1.0 1.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.171 * [taylor]: Taking taylor expansion of N in N 1.171 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (/ 1 1) into 1 1.172 * [backup-simplify]: Simplify (- 1) into -1 1.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.172 * [backup-simplify]: Simplify (sqrt 0) into 0 1.173 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.173 * [backup-simplify]: Simplify (* 0 0) into 0 1.174 * [backup-simplify]: Simplify (* -1 0) into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.177 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.179 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.180 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.180 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.185 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.187 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.187 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (- 0) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.192 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.194 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.195 * [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))))))) 1.196 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.196 * [backup-simplify]: Simplify (sqrt (+ N 1.0)) into (sqrt (+ N 1.0)) 1.196 * [approximate]: Taking taylor expansion of (sqrt (+ N 1.0)) in (N) around 0 1.196 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.196 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.196 * [taylor]: Taking taylor expansion of N in N 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [taylor]: Taking taylor expansion of 1.0 in N 1.196 * [backup-simplify]: Simplify 1.0 into 1.0 1.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.196 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.197 * [backup-simplify]: Simplify (+ 1 0) into 1 1.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.198 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.198 * [taylor]: Taking taylor expansion of N in N 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [taylor]: Taking taylor expansion of 1.0 in N 1.198 * [backup-simplify]: Simplify 1.0 into 1.0 1.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.198 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.198 * [backup-simplify]: Simplify (+ 1 0) into 1 1.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.200 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.200 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.201 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.205 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.206 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow N 2)) (+ (* (/ 1/2 (sqrt 1.0)) N) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3)))) 1.207 * [backup-simplify]: Simplify (sqrt (+ (/ 1 N) 1.0)) into (sqrt (+ (/ 1 N) 1.0)) 1.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in (N) around 0 1.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [taylor]: Taking taylor expansion of 1.0 in N 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.207 * [backup-simplify]: Simplify (+ 1 0) into 1 1.207 * [backup-simplify]: Simplify (sqrt 0) into 0 1.208 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.208 * [taylor]: Taking taylor expansion of N in N 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [taylor]: Taking taylor expansion of 1.0 in N 1.209 * [backup-simplify]: Simplify 1.0 into 1.0 1.209 * [backup-simplify]: Simplify (+ 1 0) into 1 1.209 * [backup-simplify]: Simplify (sqrt 0) into 0 1.210 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.212 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.212 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.215 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.216 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- N)) 1.0)) into (sqrt (- 1.0 (/ 1 N))) 1.216 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in (N) around 0 1.216 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.216 * [taylor]: Taking taylor expansion of 1.0 in N 1.216 * [backup-simplify]: Simplify 1.0 into 1.0 1.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.216 * [taylor]: Taking taylor expansion of N in N 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [backup-simplify]: Simplify (- 1) into -1 1.216 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.217 * [backup-simplify]: Simplify (sqrt 0) into 0 1.217 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.217 * [taylor]: Taking taylor expansion of 1.0 in N 1.217 * [backup-simplify]: Simplify 1.0 into 1.0 1.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [backup-simplify]: Simplify (- 1) into -1 1.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.218 * [backup-simplify]: Simplify (sqrt 0) into 0 1.219 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.222 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (- 0) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.225 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.226 * * * [progress]: simplifying candidates 1.233 * [simplify]: Simplifying: (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (log (sqrt (+ N 1.0))) (exp (sqrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (sqrt 1) (sqrt (+ N 1.0)) (sqrt 1) (sqrt (+ N 1.0)) (sqrt (+ (pow N 3) (pow 1.0 3))) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (sqrt (- (* N N) (* 1.0 1.0))) (sqrt (- N 1.0)) (/ 1 2) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (+ N 1.0))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (sqrt 1.0) (* 1/2 (/ N (sqrt 1.0)))) (* 1/8 (/ (pow N 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.234 * [simplify]: Sending expressions to egg_math: (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)) (log (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (exp (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (* (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))))) (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (* (* (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (sqrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (sqrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (+ (pow (log (sqrt (+ h0 h1))) 3) (pow (log (/ (sqrt (+ h0 h1)) h0)) 3)) (+ (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (- (* (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) h0))) (* (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))))) (- (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (* (log (/ (sqrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) h0)))) (- (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0))) (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 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 h1)) h0))) (+ (log (sqrt (cbrt (+ h0 h1)))) (log (/ (sqrt (+ h0 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(- (* 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 (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (* 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))))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ 1 (pow h0 2))) (- h2))))) (- (+ (* h2 (/ 1 h0)) (- (+ (* h2 (/ 1 (pow h0 2))) (- h2))))) 1.240 * * [simplify]: iteration 0 : 488 enodes (cost 1120 ) 1.248 * * [simplify]: iteration 1 : 1508 enodes (cost 1022 ) 1.274 * * [simplify]: iteration 2 : 5001 enodes (cost 928 ) 1.278 * * * [progress]: adding candidates to table 1.571 * * [progress]: iteration 4 / 4 1.571 * * * [progress]: picking best candidate 1.575 * * * * [pick]: Picked # 1.575 * * * [progress]: localizing error 1.589 * * * [progress]: generating rewritten candidates 1.589 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.614 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.636 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.658 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.673 * * * [progress]: generating series expansions 1.673 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.673 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 1.673 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 1.673 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.673 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.673 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.673 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of 1.0 in N 1.673 * [backup-simplify]: Simplify 1.0 into 1.0 1.674 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.674 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.675 * [backup-simplify]: Simplify (+ 1 0) into 1 1.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.676 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.676 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.676 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.676 * [taylor]: Taking taylor expansion of N in N 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.677 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.677 * [taylor]: Taking taylor expansion of N in N 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [taylor]: Taking taylor expansion of 1.0 in N 1.677 * [backup-simplify]: Simplify 1.0 into 1.0 1.677 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.677 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.677 * [backup-simplify]: Simplify (+ 1 0) into 1 1.678 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.679 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.679 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.679 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.679 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.680 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.680 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.680 * [taylor]: Taking taylor expansion of N in N 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [taylor]: Taking taylor expansion of 1.0 in N 1.680 * [backup-simplify]: Simplify 1.0 into 1.0 1.680 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.680 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.680 * [backup-simplify]: Simplify (+ 1 0) into 1 1.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.682 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.682 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.682 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.682 * [taylor]: Taking taylor expansion of N in N 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.682 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.682 * [taylor]: Taking taylor expansion of N in N 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of 1.0 in N 1.682 * [backup-simplify]: Simplify 1.0 into 1.0 1.683 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.683 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.683 * [backup-simplify]: Simplify (+ 1 0) into 1 1.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.684 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.685 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.687 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.688 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.694 * [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)) 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.703 * [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)) 1.706 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 1.707 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.724 * [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)) 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [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)))) 1.755 * [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)) 1.757 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.759 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.763 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 1.764 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 1.764 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.764 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.764 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.764 * [taylor]: Taking taylor expansion of N in N 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of 1.0 in N 1.764 * [backup-simplify]: Simplify 1.0 into 1.0 1.764 * [backup-simplify]: Simplify (+ 1 0) into 1 1.764 * [backup-simplify]: Simplify (sqrt 0) into 0 1.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.766 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.766 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.766 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.766 * [taylor]: Taking taylor expansion of N in N 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.766 * [taylor]: Taking taylor expansion of N in N 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of 1.0 in N 1.766 * [backup-simplify]: Simplify 1.0 into 1.0 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify (sqrt 0) into 0 1.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.767 * [backup-simplify]: Simplify (* 0 0) into 0 1.768 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.770 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.772 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.772 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.772 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.772 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.772 * [taylor]: Taking taylor expansion of N in N 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [taylor]: Taking taylor expansion of 1.0 in N 1.773 * [backup-simplify]: Simplify 1.0 into 1.0 1.773 * [backup-simplify]: Simplify (+ 1 0) into 1 1.773 * [backup-simplify]: Simplify (sqrt 0) into 0 1.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.774 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.774 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.774 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.774 * [taylor]: Taking taylor expansion of N in N 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.774 * [taylor]: Taking taylor expansion of N in N 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (/ 1 1) into 1 1.775 * [taylor]: Taking taylor expansion of 1.0 in N 1.775 * [backup-simplify]: Simplify 1.0 into 1.0 1.775 * [backup-simplify]: Simplify (+ 1 0) into 1 1.775 * [backup-simplify]: Simplify (sqrt 0) into 0 1.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.776 * [backup-simplify]: Simplify (* 0 0) into 0 1.776 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.779 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.780 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.781 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.782 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.782 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.783 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.785 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.794 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.798 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.799 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.810 * [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 1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.816 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.825 * [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 1.825 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.826 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.827 * [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))))) 1.827 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 1.827 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.827 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.827 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.827 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.827 * [taylor]: Taking taylor expansion of 1.0 in N 1.827 * [backup-simplify]: Simplify 1.0 into 1.0 1.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.827 * [taylor]: Taking taylor expansion of N in N 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [backup-simplify]: Simplify (- 1) into -1 1.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.828 * [backup-simplify]: Simplify (sqrt 0) into 0 1.829 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.829 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.829 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.829 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.829 * [taylor]: Taking taylor expansion of -1 in N 1.829 * [backup-simplify]: Simplify -1 into -1 1.829 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.829 * [taylor]: Taking taylor expansion of N in N 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.829 * [taylor]: Taking taylor expansion of 1.0 in N 1.829 * [backup-simplify]: Simplify 1.0 into 1.0 1.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.829 * [taylor]: Taking taylor expansion of N in N 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ 1 1) into 1 1.830 * [backup-simplify]: Simplify (- 1) into -1 1.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.830 * [backup-simplify]: Simplify (sqrt 0) into 0 1.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.831 * [backup-simplify]: Simplify (* 0 0) into 0 1.832 * [backup-simplify]: Simplify (* -1 0) into 0 1.832 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.832 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.835 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.843 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.844 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.845 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.845 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.845 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.845 * [taylor]: Taking taylor expansion of 1.0 in N 1.845 * [backup-simplify]: Simplify 1.0 into 1.0 1.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.845 * [taylor]: Taking taylor expansion of N in N 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (/ 1 1) into 1 1.845 * [backup-simplify]: Simplify (- 1) into -1 1.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.846 * [backup-simplify]: Simplify (sqrt 0) into 0 1.846 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.847 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.847 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.847 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.847 * [taylor]: Taking taylor expansion of -1 in N 1.847 * [backup-simplify]: Simplify -1 into -1 1.847 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.847 * [taylor]: Taking taylor expansion of N in N 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.847 * [taylor]: Taking taylor expansion of 1.0 in N 1.847 * [backup-simplify]: Simplify 1.0 into 1.0 1.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.847 * [taylor]: Taking taylor expansion of N in N 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [backup-simplify]: Simplify (- 1) into -1 1.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.848 * [backup-simplify]: Simplify (sqrt 0) into 0 1.849 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.849 * [backup-simplify]: Simplify (* 0 0) into 0 1.849 * [backup-simplify]: Simplify (* -1 0) into 0 1.849 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.850 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.852 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.854 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 1.855 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.856 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.856 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 1.857 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.858 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.861 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.869 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.870 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.875 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.875 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.886 * [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 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.891 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 1.893 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.902 * [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 1.903 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.903 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.904 * [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))))) 1.904 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.905 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 1.905 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 1.905 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.905 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.905 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.905 * [taylor]: Taking taylor expansion of N in N 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of 1.0 in N 1.905 * [backup-simplify]: Simplify 1.0 into 1.0 1.905 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.905 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.907 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.907 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.907 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.907 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of 1.0 in N 1.907 * [backup-simplify]: Simplify 1.0 into 1.0 1.908 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.908 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.908 * [backup-simplify]: Simplify (+ 1 0) into 1 1.909 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.910 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.910 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.910 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.910 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.910 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.910 * [taylor]: Taking taylor expansion of N in N 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of 1.0 in N 1.910 * [backup-simplify]: Simplify 1.0 into 1.0 1.911 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.911 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.911 * [backup-simplify]: Simplify (+ 1 0) into 1 1.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.912 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.912 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.912 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.913 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of 1.0 in N 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.913 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.915 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 1.915 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.916 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 1.917 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.918 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 1.924 * [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)) 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.939 * [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)) 1.941 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 1.942 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.959 * [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)) 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [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)))) 1.983 * [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)) 1.985 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.987 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.991 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 1.991 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 1.991 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.991 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.991 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of 1.0 in N 1.992 * [backup-simplify]: Simplify 1.0 into 1.0 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (sqrt 0) into 0 1.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.993 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.993 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.993 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.993 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.994 * [taylor]: Taking taylor expansion of N in N 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of 1.0 in N 1.994 * [backup-simplify]: Simplify 1.0 into 1.0 1.994 * [backup-simplify]: Simplify (+ 1 0) into 1 1.994 * [backup-simplify]: Simplify (sqrt 0) into 0 1.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.995 * [backup-simplify]: Simplify (* 0 0) into 0 1.996 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.998 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.999 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.000 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.000 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.000 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.000 * [taylor]: Taking taylor expansion of N in N 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of 1.0 in N 2.001 * [backup-simplify]: Simplify 1.0 into 1.0 2.001 * [backup-simplify]: Simplify (+ 1 0) into 1 2.001 * [backup-simplify]: Simplify (sqrt 0) into 0 2.002 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.002 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.002 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.002 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.002 * [taylor]: Taking taylor expansion of N in N 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.002 * [taylor]: Taking taylor expansion of N in N 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ 1 1) into 1 2.002 * [taylor]: Taking taylor expansion of 1.0 in N 2.002 * [backup-simplify]: Simplify 1.0 into 1.0 2.003 * [backup-simplify]: Simplify (+ 1 0) into 1 2.003 * [backup-simplify]: Simplify (sqrt 0) into 0 2.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.004 * [backup-simplify]: Simplify (* 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.007 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.008 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.009 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.010 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.010 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.011 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.020 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.028 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.033 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.043 * [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 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.048 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.057 * [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 2.058 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.058 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.059 * [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))))) 2.060 * [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))))))) 2.060 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 2.060 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.060 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.060 * [taylor]: Taking taylor expansion of 1.0 in N 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.060 * [taylor]: Taking taylor expansion of N in N 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [backup-simplify]: Simplify (- 1) into -1 2.060 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.061 * [backup-simplify]: Simplify (sqrt 0) into 0 2.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.062 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.062 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.062 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.062 * [taylor]: Taking taylor expansion of -1 in N 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.062 * [taylor]: Taking taylor expansion of 1.0 in N 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [backup-simplify]: Simplify (- 1) into -1 2.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.063 * [backup-simplify]: Simplify (sqrt 0) into 0 2.064 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.064 * [backup-simplify]: Simplify (* 0 0) into 0 2.064 * [backup-simplify]: Simplify (* -1 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.065 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.067 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.069 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.070 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.071 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.071 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.071 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.071 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.071 * [taylor]: Taking taylor expansion of 1.0 in N 2.071 * [backup-simplify]: Simplify 1.0 into 1.0 2.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [backup-simplify]: Simplify (- 1) into -1 2.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.072 * [backup-simplify]: Simplify (sqrt 0) into 0 2.072 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.073 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.073 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.073 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.073 * [taylor]: Taking taylor expansion of -1 in N 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.073 * [taylor]: Taking taylor expansion of 1.0 in N 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (- 1) into -1 2.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.074 * [backup-simplify]: Simplify (sqrt 0) into 0 2.074 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.075 * [backup-simplify]: Simplify (* 0 0) into 0 2.075 * [backup-simplify]: Simplify (* -1 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.078 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.080 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.081 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.082 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.083 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.084 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.086 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.094 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.096 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 2.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.101 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.118 * [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 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.124 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.126 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 2.135 * [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 2.135 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.135 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.136 * [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))))) 2.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.137 * [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))))) 2.137 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 2.137 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 2.137 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.137 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.137 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.137 * [taylor]: Taking taylor expansion of N in N 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [taylor]: Taking taylor expansion of 1.0 in N 2.137 * [backup-simplify]: Simplify 1.0 into 1.0 2.137 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.137 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.138 * [backup-simplify]: Simplify (+ 1 0) into 1 2.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.139 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.139 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 2.139 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 2.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.139 * [taylor]: Taking taylor expansion of N in N 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.139 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.139 * [taylor]: Taking taylor expansion of N in N 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.140 * [taylor]: Taking taylor expansion of 1.0 in N 2.140 * [backup-simplify]: Simplify 1.0 into 1.0 2.140 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.140 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.140 * [backup-simplify]: Simplify (+ 1 0) into 1 2.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.142 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 2.142 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.142 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 2.142 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.142 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.142 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.142 * [taylor]: Taking taylor expansion of N in N 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [taylor]: Taking taylor expansion of 1.0 in N 2.142 * [backup-simplify]: Simplify 1.0 into 1.0 2.143 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.143 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.143 * [backup-simplify]: Simplify (+ 1 0) into 1 2.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.144 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.144 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 2.144 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 2.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of 1.0 in N 2.145 * [backup-simplify]: Simplify 1.0 into 1.0 2.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.145 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.146 * [backup-simplify]: Simplify (+ 1 0) into 1 2.146 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.147 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 2.147 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 2.149 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 2.150 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 2.156 * [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)) 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 2.165 * [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)) 2.167 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 2.168 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.185 * [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)) 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [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)))) 2.215 * [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)) 2.217 * [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)))) 2.220 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 2.224 * [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))) 2.224 * [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))))) 2.224 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 2.224 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.224 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.224 * [taylor]: Taking taylor expansion of N in N 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [taylor]: Taking taylor expansion of 1.0 in N 2.224 * [backup-simplify]: Simplify 1.0 into 1.0 2.225 * [backup-simplify]: Simplify (+ 1 0) into 1 2.225 * [backup-simplify]: Simplify (sqrt 0) into 0 2.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.226 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.226 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.226 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.226 * [taylor]: Taking taylor expansion of N in N 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.226 * [taylor]: Taking taylor expansion of N in N 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [taylor]: Taking taylor expansion of 1.0 in N 2.227 * [backup-simplify]: Simplify 1.0 into 1.0 2.227 * [backup-simplify]: Simplify (+ 1 0) into 1 2.227 * [backup-simplify]: Simplify (sqrt 0) into 0 2.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.228 * [backup-simplify]: Simplify (* 0 0) into 0 2.228 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.231 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.232 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.233 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.233 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 2.233 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.233 * [taylor]: Taking taylor expansion of N in N 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [taylor]: Taking taylor expansion of 1.0 in N 2.233 * [backup-simplify]: Simplify 1.0 into 1.0 2.233 * [backup-simplify]: Simplify (+ 1 0) into 1 2.234 * [backup-simplify]: Simplify (sqrt 0) into 0 2.234 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.235 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.235 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.235 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (/ 1 1) into 1 2.235 * [taylor]: Taking taylor expansion of 1.0 in N 2.235 * [backup-simplify]: Simplify 1.0 into 1.0 2.235 * [backup-simplify]: Simplify (+ 1 0) into 1 2.235 * [backup-simplify]: Simplify (sqrt 0) into 0 2.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.236 * [backup-simplify]: Simplify (* 0 0) into 0 2.237 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.239 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.241 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.241 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.242 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.243 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.243 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.246 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.254 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.258 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.259 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.269 * [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 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.275 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.290 * [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 2.291 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.292 * [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))))) 2.292 * [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))))))) 2.292 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 2.292 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.292 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.293 * [taylor]: Taking taylor expansion of 1.0 in N 2.293 * [backup-simplify]: Simplify 1.0 into 1.0 2.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.293 * [taylor]: Taking taylor expansion of N in N 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [backup-simplify]: Simplify (- 1) into -1 2.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.294 * [backup-simplify]: Simplify (sqrt 0) into 0 2.294 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.294 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.295 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.295 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.295 * [taylor]: Taking taylor expansion of -1 in N 2.295 * [backup-simplify]: Simplify -1 into -1 2.295 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.295 * [taylor]: Taking taylor expansion of N in N 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.295 * [taylor]: Taking taylor expansion of 1.0 in N 2.295 * [backup-simplify]: Simplify 1.0 into 1.0 2.295 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.295 * [taylor]: Taking taylor expansion of N in N 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (/ 1 1) into 1 2.295 * [backup-simplify]: Simplify (- 1) into -1 2.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.296 * [backup-simplify]: Simplify (sqrt 0) into 0 2.296 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.297 * [backup-simplify]: Simplify (* 0 0) into 0 2.297 * [backup-simplify]: Simplify (* -1 0) into 0 2.297 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.298 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.300 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.302 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.303 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.304 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.304 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 2.304 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.304 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.304 * [taylor]: Taking taylor expansion of 1.0 in N 2.304 * [backup-simplify]: Simplify 1.0 into 1.0 2.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.304 * [taylor]: Taking taylor expansion of N in N 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (/ 1 1) into 1 2.304 * [backup-simplify]: Simplify (- 1) into -1 2.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.305 * [backup-simplify]: Simplify (sqrt 0) into 0 2.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.306 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.306 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.306 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.306 * [taylor]: Taking taylor expansion of -1 in N 2.306 * [backup-simplify]: Simplify -1 into -1 2.306 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.306 * [taylor]: Taking taylor expansion of 1.0 in N 2.306 * [backup-simplify]: Simplify 1.0 into 1.0 2.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (/ 1 1) into 1 2.307 * [backup-simplify]: Simplify (- 1) into -1 2.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.307 * [backup-simplify]: Simplify (sqrt 0) into 0 2.308 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.308 * [backup-simplify]: Simplify (* 0 0) into 0 2.308 * [backup-simplify]: Simplify (* -1 0) into 0 2.309 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 2.309 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.312 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.313 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 2.314 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 2.315 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.316 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 2.316 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.317 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- 0) into 0 2.318 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.320 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (- 0) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.329 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.330 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 2.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.335 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.335 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (- 0) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.346 * [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 2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.351 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 2.353 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 2.362 * [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 2.362 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.364 * [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))))) 2.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.364 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 2.364 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.364 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.364 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.364 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.364 * [taylor]: Taking taylor expansion of N in N 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 1 into 1 2.364 * [taylor]: Taking taylor expansion of 1.0 in N 2.364 * [backup-simplify]: Simplify 1.0 into 1.0 2.364 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.365 * [backup-simplify]: Simplify (+ 1 0) into 1 2.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.366 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.366 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.366 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.366 * [taylor]: Taking taylor expansion of N in N 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [taylor]: Taking taylor expansion of 1.0 in N 2.366 * [backup-simplify]: Simplify 1.0 into 1.0 2.367 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.367 * [backup-simplify]: Simplify (+ 1 0) into 1 2.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.375 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.376 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 2.382 * [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)) 2.383 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 2.383 * [backup-simplify]: Simplify (+ 0 0) into 0 2.386 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.400 * [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)) 2.401 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 2.403 * [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)))) 2.404 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 2.404 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.404 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.404 * [taylor]: Taking taylor expansion of N in N 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [taylor]: Taking taylor expansion of 1.0 in N 2.404 * [backup-simplify]: Simplify 1.0 into 1.0 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.405 * [backup-simplify]: Simplify (sqrt 0) into 0 2.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.406 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.406 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.406 * [taylor]: Taking taylor expansion of N in N 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (/ 1 1) into 1 2.406 * [taylor]: Taking taylor expansion of 1.0 in N 2.406 * [backup-simplify]: Simplify 1.0 into 1.0 2.406 * [backup-simplify]: Simplify (+ 1 0) into 1 2.407 * [backup-simplify]: Simplify (sqrt 0) into 0 2.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.407 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.408 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.410 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ 0 0) into 0 2.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.424 * [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 2.424 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.424 * [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)))))) 2.425 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 2.425 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.425 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.425 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.425 * [taylor]: Taking taylor expansion of 1.0 in N 2.425 * [backup-simplify]: Simplify 1.0 into 1.0 2.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.425 * [taylor]: Taking taylor expansion of N in N 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ 1 1) into 1 2.425 * [backup-simplify]: Simplify (- 1) into -1 2.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.426 * [backup-simplify]: Simplify (sqrt 0) into 0 2.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.427 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.427 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.427 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.427 * [taylor]: Taking taylor expansion of 1.0 in N 2.427 * [backup-simplify]: Simplify 1.0 into 1.0 2.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.427 * [taylor]: Taking taylor expansion of N in N 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ 1 1) into 1 2.427 * [backup-simplify]: Simplify (- 1) into -1 2.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.428 * [backup-simplify]: Simplify (sqrt 0) into 0 2.429 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.429 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.429 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (- 0) into 0 2.430 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.432 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (- 0) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.446 * [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 2.446 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.447 * [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)))))) 2.447 * * * [progress]: simplifying candidates 2.449 * [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))) (* (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))) (* (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 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(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 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.450 * [simplify]: Sending expressions to egg_math: (* (sqrt (+ h0 h1)) (/ (sqrt (+ h0 h1)) h0)) (log (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (exp (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ h0 h1)) h0)))) (* (cbrt (+ (log (sqrt (+ h0 h1))) (log (/ (sqrt (+ 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380 enodes (cost 1825 ) 2.462 * * [simplify]: iteration 1 : 1042 enodes (cost 1659 ) 2.480 * * [simplify]: iteration 2 : 4110 enodes (cost 1430 ) 2.545 * * [simplify]: iteration 3 : 5001 enodes (cost 1409 ) 2.558 * * * [progress]: adding candidates to table 3.086 * [progress]: [Phase 3 of 3] Extracting. 3.086 * * [regime]: Finding splitpoints for: (# # #) 3.087 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.087 * * * * [regimes]: Trying to branch on N from (# # #) 3.106 * * * [regime]: Found split indices: #