20.268 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.067 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.067 * * [simplify]: iteration 0: 6 enodes 0.068 * * [simplify]: iteration 1: 11 enodes 0.069 * * [simplify]: iteration 2: 13 enodes 0.071 * * [simplify]: iteration complete: 13 enodes 0.071 * * [simplify]: Extracting #0: cost 1 inf + 0 0.071 * * [simplify]: Extracting #1: cost 4 inf + 0 0.071 * * [simplify]: Extracting #2: cost 6 inf + 0 0.071 * * [simplify]: Extracting #3: cost 2 inf + 475 0.071 * * [simplify]: Extracting #4: cost 0 inf + 518 0.071 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.107 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.108 * * * [progress]: generating series expansions 0.108 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.108 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.108 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.108 * [taylor]: Taking taylor expansion of (log1p N) in N 0.109 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.109 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of 1 in N 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of N in N 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.110 * [taylor]: Taking taylor expansion of (log N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.110 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.110 * [taylor]: Taking taylor expansion of (log1p N) in N 0.110 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.110 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of 1 in N 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [backup-simplify]: Simplify (log 1) into 0 0.111 * [taylor]: Taking taylor expansion of (log N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (log 1) into 0 0.112 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.112 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.112 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.112 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.120 * [backup-simplify]: Simplify -1/2 into -1/2 0.120 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.121 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.121 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.121 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.121 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.121 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.121 * [taylor]: Taking taylor expansion of 1 in N 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.122 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.122 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.122 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.122 * [taylor]: Taking taylor expansion of 1 in N 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.125 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.125 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.134 * [backup-simplify]: Simplify -1/2 into -1/2 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [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 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.142 * [backup-simplify]: Simplify 1/3 into 1/3 0.142 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.142 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.142 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.142 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.142 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.142 * [taylor]: Taking taylor expansion of 1 in N 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.142 * [taylor]: Taking taylor expansion of -1 in N 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.143 * [backup-simplify]: Simplify (log -1) into (log -1) 0.143 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.143 * [taylor]: Taking taylor expansion of -1 in N 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [backup-simplify]: Simplify (log -1) into (log -1) 0.144 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.144 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.144 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.144 * [taylor]: Taking taylor expansion of -1 in N 0.144 * [backup-simplify]: Simplify -1 into -1 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ -1 1) into -1 0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.145 * [backup-simplify]: Simplify (log -1) into (log -1) 0.145 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.145 * [taylor]: Taking taylor expansion of -1 in N 0.145 * [backup-simplify]: Simplify -1 into -1 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ -1 1) into -1 0.146 * [backup-simplify]: Simplify (log -1) into (log -1) 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.147 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.148 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ -1 0) into -1 0.152 * [backup-simplify]: Simplify -1 into -1 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.158 * [backup-simplify]: Simplify -1/2 into -1/2 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [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 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.167 * [backup-simplify]: Simplify -1/3 into -1/3 0.167 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [backup-simplify]: Simplify (log1p N) into (log1p N) 0.168 * [approximate]: Taking taylor expansion of (log1p N) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (log1p N) in N 0.168 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.168 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (log1p N) in N 0.168 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.168 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.172 * [backup-simplify]: Simplify -1/2 into -1/2 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.175 * [backup-simplify]: Simplify 1/3 into 1/3 0.176 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.176 * [backup-simplify]: Simplify (log1p (/ 1 N)) into (log1p (/ 1 N)) 0.176 * [approximate]: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.176 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.176 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1 in N 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.177 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.177 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1 in N 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.178 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.183 * [backup-simplify]: Simplify -1/2 into -1/2 0.183 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.183 * [backup-simplify]: Simplify (log1p (/ 1 (- N))) into (log1p (/ -1 N)) 0.183 * [approximate]: Taking taylor expansion of (log1p (/ -1 N)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.183 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.183 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.183 * [taylor]: Taking taylor expansion of 1 in N 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.183 * [taylor]: Taking taylor expansion of -1 in N 0.183 * [backup-simplify]: Simplify -1 into -1 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ -1 1) into -1 0.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.184 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.184 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.184 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.185 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.186 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.187 * [backup-simplify]: Simplify -1 into -1 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.190 * [backup-simplify]: Simplify -1/2 into -1/2 0.190 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.190 * * * [progress]: simplifying candidates 0.190 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.190 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.190 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.190 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 16 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 32 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 0.191 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 37 / 55 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.192 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 46 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 49 / 55 ] simplifiying candidate #real (real->posit16 (log1p N))) (log N)))> 0.192 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 0.192 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 0.193 * [simplify]: Simplifying: (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (exp (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log (* (cbrt N) (cbrt N)))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log N))) (+ 1 N) (expm1 (log1p N)) (log1p (log1p N)) (log (log1p N)) (exp (log1p N)) (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (* (* (log1p N) (log1p N)) (log1p N)) (sqrt (log1p N)) (sqrt (log1p N)) (real->posit16 (log1p N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.194 * * [simplify]: iteration 0: 101 enodes 0.214 * * [simplify]: iteration 1: 231 enodes 0.294 * * [simplify]: iteration 2: 605 enodes 0.573 * * [simplify]: iteration 3: 1878 enodes 1.870 * * [simplify]: iteration complete: 5000 enodes 1.871 * * [simplify]: Extracting #0: cost 37 inf + 0 1.872 * * [simplify]: Extracting #1: cost 376 inf + 2 1.877 * * [simplify]: Extracting #2: cost 939 inf + 15766 1.899 * * [simplify]: Extracting #3: cost 543 inf + 137109 1.956 * * [simplify]: Extracting #4: cost 91 inf + 277095 2.046 * * [simplify]: Extracting #5: cost 15 inf + 293404 2.112 * * [simplify]: Extracting #6: cost 0 inf + 297597 2.167 * [simplify]: Simplified to: (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (log1p N) (* (log1p N) (log1p N))) (* (* (log N) (log N)) (log N))) (fma (log N) (log N) (* (log1p N) (+ (log N) (log1p N)))) (- (log N)) (* (+ (log N) (log1p N)) (- (log1p N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (+ 1 N) N (log1p (log1p N)) (log (log1p N)) (exp (log1p N)) (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (* (log1p N) (* (log1p N) (log1p N))) (sqrt (log1p N)) (sqrt (log1p N)) (real->posit16 (log1p N)) (- N (fma 1/2 (* N N) (log N))) (+ (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (+ (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (fma -1/2 (* N N) (fma (* 1/3 N) (* N N) N)) (+ (/ -1/2 (* N N)) (+ (log N) (/ 1 N))) (- (+ (+ (/ 1 N) 0) (log N)) (/ (/ 1/2 N) N)) 2.169 * * * [progress]: adding candidates to table 2.376 * * [progress]: iteration 2 / 4 2.376 * * * [progress]: picking best candidate 2.393 * * * * [pick]: Picked # 2.394 * * * [progress]: localizing error 2.409 * * * [progress]: generating rewritten candidates 2.409 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.416 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.448 * * * [progress]: generating series expansions 2.448 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.448 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.448 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.448 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.448 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.448 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.448 * [taylor]: Taking taylor expansion of N in N 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of 1 in N 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of N in N 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (+ 0 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [backup-simplify]: Simplify (log 1) into 0 2.450 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.451 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.451 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.451 * [taylor]: Taking taylor expansion of N in N 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [taylor]: Taking taylor expansion of 1 in N 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [taylor]: Taking taylor expansion of N in N 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (+ 0 1) into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [backup-simplify]: Simplify (log 1) into 0 2.452 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.452 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.453 * [backup-simplify]: Simplify (+ 1 0) into 1 2.454 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.459 * [backup-simplify]: Simplify -1/2 into -1/2 2.459 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.459 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.459 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.459 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.459 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.459 * [taylor]: Taking taylor expansion of N in N 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.459 * [taylor]: Taking taylor expansion of N in N 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.460 * [taylor]: Taking taylor expansion of 1 in N 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (+ 1 0) into 1 2.461 * [backup-simplify]: Simplify (* 0 1) into 0 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ 0 1) into 1 2.462 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.463 * [backup-simplify]: Simplify (log 1) into 0 2.463 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.463 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.463 * [taylor]: Taking taylor expansion of N in N 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.463 * [taylor]: Taking taylor expansion of N in N 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (/ 1 1) into 1 2.463 * [taylor]: Taking taylor expansion of 1 in N 2.463 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (+ 1 0) into 1 2.464 * [backup-simplify]: Simplify (* 0 1) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 1) into 1 2.466 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.466 * [backup-simplify]: Simplify (log 1) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.469 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.474 * [backup-simplify]: Simplify -1/2 into -1/2 2.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.481 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.481 * [backup-simplify]: Simplify 1/3 into 1/3 2.481 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.482 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.482 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.482 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.482 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.482 * [taylor]: Taking taylor expansion of -1 in N 2.482 * [backup-simplify]: Simplify -1 into -1 2.482 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.482 * [taylor]: Taking taylor expansion of N in N 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.482 * [taylor]: Taking taylor expansion of 1 in N 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.482 * [taylor]: Taking taylor expansion of N in N 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (/ 1 1) into 1 2.483 * [backup-simplify]: Simplify (- 1) into -1 2.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.484 * [backup-simplify]: Simplify (* 0 -1) into 0 2.484 * [backup-simplify]: Simplify (* -1 0) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ 1 0) into 1 2.486 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.487 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.487 * [backup-simplify]: Simplify (log 1) into 0 2.487 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.487 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.487 * [taylor]: Taking taylor expansion of -1 in N 2.487 * [backup-simplify]: Simplify -1 into -1 2.487 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.487 * [taylor]: Taking taylor expansion of N in N 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.487 * [taylor]: Taking taylor expansion of 1 in N 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.487 * [taylor]: Taking taylor expansion of N in N 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (/ 1 1) into 1 2.488 * [backup-simplify]: Simplify (- 1) into -1 2.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.489 * [backup-simplify]: Simplify (* 0 -1) into 0 2.489 * [backup-simplify]: Simplify (* -1 0) into 0 2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.491 * [backup-simplify]: Simplify (+ 1 0) into 1 2.491 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.492 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.492 * [backup-simplify]: Simplify (log 1) into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.495 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.497 * [backup-simplify]: Simplify -1 into -1 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.503 * [backup-simplify]: Simplify -1/2 into -1/2 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.511 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.511 * [backup-simplify]: Simplify -1/3 into -1/3 2.512 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.512 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.512 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.512 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.512 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.512 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.512 * [taylor]: Taking taylor expansion of N in N 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [taylor]: Taking taylor expansion of 1 in N 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [taylor]: Taking taylor expansion of N in N 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (+ 0 1) into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.513 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.513 * [taylor]: Taking taylor expansion of N in N 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [taylor]: Taking taylor expansion of 1 in N 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [taylor]: Taking taylor expansion of N in N 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (+ 0 1) into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (+ 1 0) into 1 2.514 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.520 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.520 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.520 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.520 * [taylor]: Taking taylor expansion of N in N 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.520 * [taylor]: Taking taylor expansion of N in N 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of 1 in N 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.520 * [taylor]: Taking taylor expansion of N in N 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.520 * [taylor]: Taking taylor expansion of N in N 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of 1 in N 2.520 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (+ 1 0) into 1 2.521 * [backup-simplify]: Simplify (* 0 1) into 0 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 1) into 1 2.522 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.522 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.523 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [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 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [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 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.534 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.534 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.534 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.534 * [taylor]: Taking taylor expansion of -1 in N 2.534 * [backup-simplify]: Simplify -1 into -1 2.534 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.534 * [taylor]: Taking taylor expansion of 1 in N 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (/ 1 1) into 1 2.534 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.534 * [taylor]: Taking taylor expansion of -1 in N 2.534 * [backup-simplify]: Simplify -1 into -1 2.534 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.534 * [taylor]: Taking taylor expansion of 1 in N 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.535 * [backup-simplify]: Simplify (/ 1 1) into 1 2.535 * [backup-simplify]: Simplify (- 1) into -1 2.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.535 * [backup-simplify]: Simplify (* 0 -1) into 0 2.536 * [backup-simplify]: Simplify (* -1 0) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (- 0) into 0 2.537 * [backup-simplify]: Simplify (+ 1 0) into 1 2.537 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.538 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.540 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.540 * [backup-simplify]: Simplify -1 into -1 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.541 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify (- 0) into 0 2.543 * [backup-simplify]: Simplify (+ 0 0) into 0 2.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (- 0) into 0 2.549 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.554 * [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 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [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 2.558 * [backup-simplify]: Simplify (- 0) into 0 2.558 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.561 * * * [progress]: simplifying candidates 2.561 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 2.561 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 2.562 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 2.562 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 2.563 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 2.563 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 2.564 * [simplify]: Simplifying: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.565 * * [simplify]: iteration 0: 106 enodes 2.589 * * [simplify]: iteration 1: 244 enodes 2.661 * * [simplify]: iteration 2: 602 enodes 2.959 * * [simplify]: iteration 3: 2729 enodes 4.497 * * [simplify]: iteration complete: 5064 enodes 4.497 * * [simplify]: Extracting #0: cost 69 inf + 0 4.498 * * [simplify]: Extracting #1: cost 425 inf + 2 4.502 * * [simplify]: Extracting #2: cost 1260 inf + 245 4.512 * * [simplify]: Extracting #3: cost 939 inf + 57902 4.564 * * [simplify]: Extracting #4: cost 175 inf + 189023 4.638 * * [simplify]: Extracting #5: cost 5 inf + 241033 4.715 * * [simplify]: Extracting #6: cost 0 inf + 243342 4.770 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (/ (+ N 1) N)) (log1p (/ (+ N 1) N)) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (/ (+ N 1) (cbrt N)) (cbrt N)) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ N 1) N)) (fma (* N N) -1/2 (- N (log N))) (fma (/ 1/3 (* N N)) (/ 1 N) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (/ 1/3 (* N N)) (/ 1 N) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.773 * * * [progress]: adding candidates to table 5.015 * * [progress]: iteration 3 / 4 5.015 * * * [progress]: picking best candidate 5.022 * * * * [pick]: Picked # 5.022 * * * [progress]: localizing error 5.041 * * * [progress]: generating rewritten candidates 5.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.066 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.115 * * * [progress]: generating series expansions 5.115 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.116 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.116 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.116 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.116 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.116 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.116 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.116 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.116 * [taylor]: Taking taylor expansion of N in N 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [taylor]: Taking taylor expansion of 1 in N 5.116 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (+ 0 1) into 1 5.117 * [backup-simplify]: Simplify (sqrt 1) into 1 5.118 * [backup-simplify]: Simplify (+ 1 0) into 1 5.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.119 * [taylor]: Taking taylor expansion of N in N 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [backup-simplify]: Simplify (* 1 1) into 1 5.120 * [backup-simplify]: Simplify (log 1) into 0 5.120 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.120 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.120 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.120 * [taylor]: Taking taylor expansion of N in N 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of 1 in N 5.120 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (+ 0 1) into 1 5.121 * [backup-simplify]: Simplify (sqrt 1) into 1 5.121 * [backup-simplify]: Simplify (+ 1 0) into 1 5.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.123 * [backup-simplify]: Simplify (log 1) into 0 5.123 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.123 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.123 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.123 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.123 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.123 * [taylor]: Taking taylor expansion of N in N 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.123 * [taylor]: Taking taylor expansion of 1 in N 5.123 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (+ 0 1) into 1 5.124 * [backup-simplify]: Simplify (sqrt 1) into 1 5.124 * [backup-simplify]: Simplify (+ 1 0) into 1 5.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.125 * [taylor]: Taking taylor expansion of N in N 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.126 * [backup-simplify]: Simplify (* 1 1) into 1 5.126 * [backup-simplify]: Simplify (log 1) into 0 5.126 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.126 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.126 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.126 * [taylor]: Taking taylor expansion of N in N 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of 1 in N 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (+ 0 1) into 1 5.127 * [backup-simplify]: Simplify (sqrt 1) into 1 5.128 * [backup-simplify]: Simplify (+ 1 0) into 1 5.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.129 * [backup-simplify]: Simplify (log 1) into 0 5.130 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.130 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.130 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.135 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.135 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (+ 0 0) into 0 5.137 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.142 * [backup-simplify]: Simplify (+ 0 0) into 0 5.143 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.147 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.147 * [backup-simplify]: Simplify -1/2 into -1/2 5.147 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.147 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ 1 (/ 1 N))) 1)) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.148 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.148 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.148 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.148 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.148 * [taylor]: Taking taylor expansion of N in N 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.148 * [taylor]: Taking taylor expansion of N in N 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (/ 1 1) into 1 5.148 * [taylor]: Taking taylor expansion of 1 in N 5.148 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (+ 1 0) into 1 5.149 * [backup-simplify]: Simplify (sqrt 0) into 0 5.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.151 * [backup-simplify]: Simplify (* 0 0) into 0 5.152 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (+ 0 1) into 1 5.157 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.159 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.160 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.160 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.160 * [taylor]: Taking taylor expansion of N in N 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [taylor]: Taking taylor expansion of 1 in N 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.162 * [backup-simplify]: Simplify (sqrt 0) into 0 5.163 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.164 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.164 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.164 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.164 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.164 * [taylor]: Taking taylor expansion of N in N 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.164 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.164 * [taylor]: Taking taylor expansion of N in N 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [taylor]: Taking taylor expansion of 1 in N 5.164 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (+ 1 0) into 1 5.165 * [backup-simplify]: Simplify (sqrt 0) into 0 5.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.167 * [backup-simplify]: Simplify (* 0 0) into 0 5.168 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ 0 1) into 1 5.172 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.175 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.176 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.176 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.176 * [taylor]: Taking taylor expansion of N in N 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (/ 1 1) into 1 5.176 * [taylor]: Taking taylor expansion of 1 in N 5.176 * [backup-simplify]: Simplify 1 into 1 5.177 * [backup-simplify]: Simplify (+ 1 0) into 1 5.177 * [backup-simplify]: Simplify (sqrt 0) into 0 5.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.179 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.180 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.181 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.183 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.184 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.192 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ 0 1) into 1 5.205 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.216 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.217 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ 0 0) into 0 5.223 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.227 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.245 * [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 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ 0 0) into 0 5.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.264 * [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 5.265 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.265 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.267 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.268 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ 1 (/ 1 (- N)))) 1)) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.268 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.268 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.268 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.268 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.268 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.268 * [taylor]: Taking taylor expansion of 1 in N 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.268 * [taylor]: Taking taylor expansion of N in N 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.269 * [backup-simplify]: Simplify (- 1) into -1 5.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.269 * [backup-simplify]: Simplify (sqrt 0) into 0 5.271 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.271 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.271 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.271 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.271 * [taylor]: Taking taylor expansion of -1 in N 5.271 * [backup-simplify]: Simplify -1 into -1 5.271 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.271 * [taylor]: Taking taylor expansion of N in N 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.271 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.271 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.271 * [taylor]: Taking taylor expansion of 1 in N 5.271 * [backup-simplify]: Simplify 1 into 1 5.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.271 * [taylor]: Taking taylor expansion of N in N 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (/ 1 1) into 1 5.272 * [backup-simplify]: Simplify (- 1) into -1 5.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.273 * [backup-simplify]: Simplify (sqrt 0) into 0 5.274 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.275 * [backup-simplify]: Simplify (* 0 0) into 0 5.275 * [backup-simplify]: Simplify (* -1 0) into 0 5.276 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.276 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (- 0) into 0 5.278 * [backup-simplify]: Simplify (+ 1 0) into 1 5.280 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.281 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.283 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.283 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.283 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.283 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.283 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.283 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.283 * [taylor]: Taking taylor expansion of 1 in N 5.283 * [backup-simplify]: Simplify 1 into 1 5.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.283 * [taylor]: Taking taylor expansion of N in N 5.283 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 1 into 1 5.284 * [backup-simplify]: Simplify (/ 1 1) into 1 5.284 * [backup-simplify]: Simplify (- 1) into -1 5.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.285 * [backup-simplify]: Simplify (sqrt 0) into 0 5.285 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.286 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.286 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.286 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.286 * [taylor]: Taking taylor expansion of -1 in N 5.286 * [backup-simplify]: Simplify -1 into -1 5.286 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.286 * [taylor]: Taking taylor expansion of N in N 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.286 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.286 * [taylor]: Taking taylor expansion of 1 in N 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.286 * [taylor]: Taking taylor expansion of N in N 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.286 * [backup-simplify]: Simplify (- 1) into -1 5.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.287 * [backup-simplify]: Simplify (sqrt 0) into 0 5.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.288 * [backup-simplify]: Simplify (* 0 0) into 0 5.288 * [backup-simplify]: Simplify (* -1 0) into 0 5.289 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.289 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (- 0) into 0 5.290 * [backup-simplify]: Simplify (+ 1 0) into 1 5.292 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.294 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.296 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.296 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.297 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.298 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.299 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.299 * [backup-simplify]: Simplify (- 0) into 0 5.300 * [backup-simplify]: Simplify (+ 1 0) into 1 5.301 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (- 0) into 0 5.307 * [backup-simplify]: Simplify (+ 0 0) into 0 5.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.315 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.318 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.327 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (- 0) into 0 5.329 * [backup-simplify]: Simplify (+ 0 0) into 0 5.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.349 * [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 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.350 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify (+ 0 0) into 0 5.354 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.356 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.358 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.368 * [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 5.369 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.371 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.371 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 N)) 1)) into (log (sqrt (+ N 1))) 5.371 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.371 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.371 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.371 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.371 * [taylor]: Taking taylor expansion of N in N 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [taylor]: Taking taylor expansion of 1 in N 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (+ 0 1) into 1 5.372 * [backup-simplify]: Simplify (sqrt 1) into 1 5.372 * [backup-simplify]: Simplify (+ 1 0) into 1 5.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.373 * [backup-simplify]: Simplify (log 1) into 0 5.373 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.373 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.373 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.373 * [taylor]: Taking taylor expansion of N in N 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 1 into 1 5.373 * [taylor]: Taking taylor expansion of 1 in N 5.373 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (+ 0 1) into 1 5.373 * [backup-simplify]: Simplify (sqrt 1) into 1 5.373 * [backup-simplify]: Simplify (+ 1 0) into 1 5.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.374 * [backup-simplify]: Simplify (log 1) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.375 * [backup-simplify]: Simplify 1/2 into 1/2 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.376 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.378 * [backup-simplify]: Simplify -1/4 into -1/4 5.378 * [backup-simplify]: Simplify (+ 0 0) into 0 5.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.385 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.385 * [backup-simplify]: Simplify 1/6 into 1/6 5.386 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.386 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 N))) 1)) into (log (sqrt (+ (/ 1 N) 1))) 5.386 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.386 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.386 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.386 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.386 * [taylor]: Taking taylor expansion of N in N 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [taylor]: Taking taylor expansion of 1 in N 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (+ 1 0) into 1 5.387 * [backup-simplify]: Simplify (sqrt 0) into 0 5.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.389 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.389 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.389 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.389 * [taylor]: Taking taylor expansion of N in N 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (/ 1 1) into 1 5.390 * [taylor]: Taking taylor expansion of 1 in N 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (+ 1 0) into 1 5.391 * [backup-simplify]: Simplify (sqrt 0) into 0 5.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.392 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.393 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ 0 1) into 1 5.397 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.405 * [backup-simplify]: Simplify (+ 0 0) into 0 5.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.420 * [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 5.420 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.420 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.420 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 (- N)))) 1)) into (log (sqrt (- 1 (/ 1 N)))) 5.420 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.420 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.420 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.420 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.420 * [taylor]: Taking taylor expansion of 1 in N 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.420 * [taylor]: Taking taylor expansion of N in N 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (/ 1 1) into 1 5.421 * [backup-simplify]: Simplify (- 1) into -1 5.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.421 * [backup-simplify]: Simplify (sqrt 0) into 0 5.422 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.422 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.422 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.422 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.422 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.423 * [taylor]: Taking taylor expansion of 1 in N 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.423 * [taylor]: Taking taylor expansion of N in N 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [backup-simplify]: Simplify (- 1) into -1 5.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.424 * [backup-simplify]: Simplify (sqrt 0) into 0 5.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.425 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.425 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (- 0) into 0 5.426 * [backup-simplify]: Simplify (+ 1 0) into 1 5.428 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (- 0) into 0 5.433 * [backup-simplify]: Simplify (+ 0 0) into 0 5.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.445 * [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 5.445 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.445 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.445 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 5.446 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 5.446 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.446 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.446 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.446 * [taylor]: Taking taylor expansion of N in N 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [taylor]: Taking taylor expansion of 1 in N 5.446 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (+ 0 1) into 1 5.449 * [backup-simplify]: Simplify (sqrt 1) into 1 5.449 * [backup-simplify]: Simplify (+ 1 0) into 1 5.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.450 * [taylor]: Taking taylor expansion of N in N 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [backup-simplify]: Simplify (/ 1 1) into 1 5.450 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.450 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.450 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.450 * [taylor]: Taking taylor expansion of N in N 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [taylor]: Taking taylor expansion of 1 in N 5.450 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (+ 0 1) into 1 5.451 * [backup-simplify]: Simplify (sqrt 1) into 1 5.452 * [backup-simplify]: Simplify (+ 1 0) into 1 5.452 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.452 * [taylor]: Taking taylor expansion of N in N 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (/ 1 1) into 1 5.453 * [backup-simplify]: Simplify (* 1 1) into 1 5.453 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.455 * [backup-simplify]: Simplify 1/2 into 1/2 5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.456 * [backup-simplify]: Simplify (+ 0 0) into 0 5.457 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.459 * [backup-simplify]: Simplify -1/8 into -1/8 5.459 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 5.459 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 5.459 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.459 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.460 * [taylor]: Taking taylor expansion of 1 in N 5.460 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (+ 1 0) into 1 5.460 * [backup-simplify]: Simplify (sqrt 0) into 0 5.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.462 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.462 * [taylor]: Taking taylor expansion of N in N 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.462 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.462 * [taylor]: Taking taylor expansion of N in N 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (/ 1 1) into 1 5.463 * [taylor]: Taking taylor expansion of 1 in N 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (+ 1 0) into 1 5.463 * [backup-simplify]: Simplify (sqrt 0) into 0 5.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.465 * [backup-simplify]: Simplify (* 0 0) into 0 5.465 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (+ 0 1) into 1 5.470 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.473 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.473 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (+ 0 0) into 0 5.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.479 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.479 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.480 * [backup-simplify]: Simplify (+ 0 0) into 0 5.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.485 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.485 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.486 * [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 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.486 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 5.486 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 5.486 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.486 * [taylor]: Taking taylor expansion of -1 in N 5.486 * [backup-simplify]: Simplify -1 into -1 5.486 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.486 * [taylor]: Taking taylor expansion of N in N 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 1 into 1 5.486 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.487 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.487 * [taylor]: Taking taylor expansion of 1 in N 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.487 * [taylor]: Taking taylor expansion of N in N 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (/ 1 1) into 1 5.487 * [backup-simplify]: Simplify (- 1) into -1 5.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.488 * [backup-simplify]: Simplify (sqrt 0) into 0 5.489 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.489 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.489 * [taylor]: Taking taylor expansion of -1 in N 5.489 * [backup-simplify]: Simplify -1 into -1 5.489 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.489 * [taylor]: Taking taylor expansion of N in N 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.489 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.489 * [taylor]: Taking taylor expansion of 1 in N 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.489 * [taylor]: Taking taylor expansion of N in N 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [backup-simplify]: Simplify (- 1) into -1 5.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.490 * [backup-simplify]: Simplify (sqrt 0) into 0 5.491 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.491 * [backup-simplify]: Simplify (* 0 0) into 0 5.491 * [backup-simplify]: Simplify (* -1 0) into 0 5.491 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.492 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.492 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (- 0) into 0 5.493 * [backup-simplify]: Simplify (+ 1 0) into 1 5.495 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.497 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.498 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.498 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.499 * [backup-simplify]: Simplify (- 0) into 0 5.499 * [backup-simplify]: Simplify (+ 0 0) into 0 5.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.505 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.509 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.509 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.520 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.523 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.524 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.525 * [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 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.525 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.525 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 5.525 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 5.525 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.525 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.525 * [taylor]: Taking taylor expansion of N in N 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify 1 into 1 5.526 * [taylor]: Taking taylor expansion of 1 in N 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (+ 0 1) into 1 5.526 * [backup-simplify]: Simplify (sqrt 1) into 1 5.526 * [backup-simplify]: Simplify (+ 1 0) into 1 5.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.527 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.527 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.527 * [taylor]: Taking taylor expansion of N in N 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of 1 in N 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (+ 0 1) into 1 5.527 * [backup-simplify]: Simplify (sqrt 1) into 1 5.528 * [backup-simplify]: Simplify (+ 1 0) into 1 5.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.528 * [backup-simplify]: Simplify 1 into 1 5.528 * [backup-simplify]: Simplify 1/2 into 1/2 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.529 * [backup-simplify]: Simplify -1/8 into -1/8 5.529 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 5.529 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 5.529 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 5.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.529 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.529 * [taylor]: Taking taylor expansion of N in N 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (/ 1 1) into 1 5.530 * [taylor]: Taking taylor expansion of 1 in N 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (+ 1 0) into 1 5.530 * [backup-simplify]: Simplify (sqrt 0) into 0 5.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.531 * [taylor]: Taking taylor expansion of N in N 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ 1 1) into 1 5.532 * [taylor]: Taking taylor expansion of 1 in N 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (+ 1 0) into 1 5.532 * [backup-simplify]: Simplify (sqrt 0) into 0 5.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (+ 0 1) into 1 5.536 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (+ 0 0) into 0 5.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.539 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.539 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.539 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 5.539 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 5.539 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.539 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.539 * [taylor]: Taking taylor expansion of 1 in N 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.539 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (/ 1 1) into 1 5.540 * [backup-simplify]: Simplify (- 1) into -1 5.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.541 * [backup-simplify]: Simplify (sqrt 0) into 0 5.541 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.541 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.541 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.541 * [taylor]: Taking taylor expansion of 1 in N 5.541 * [backup-simplify]: Simplify 1 into 1 5.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.541 * [taylor]: Taking taylor expansion of N in N 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ 1 1) into 1 5.542 * [backup-simplify]: Simplify (- 1) into -1 5.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.542 * [backup-simplify]: Simplify (sqrt 0) into 0 5.543 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.544 * [backup-simplify]: Simplify (- 0) into 0 5.544 * [backup-simplify]: Simplify (+ 1 0) into 1 5.546 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.546 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.547 * [backup-simplify]: Simplify (- 0) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.550 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.550 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.550 * * * [progress]: simplifying candidates 5.550 * * * * [progress]: [ 1 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 2 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 3 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 4 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 5 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 6 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 7 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 8 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 9 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 10 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 11 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 12 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 13 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 14 / 196 ] simplifiying candidate # 5.550 * * * * [progress]: [ 15 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 16 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 17 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 18 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 19 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 20 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 21 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 22 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 23 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 24 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 25 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 26 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 27 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 28 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 29 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 30 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 31 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 32 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 33 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 34 / 196 ] simplifiying candidate # 5.551 * * * * [progress]: [ 35 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 36 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 37 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 38 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 39 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 40 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 41 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 42 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 43 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 44 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 45 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 46 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 47 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 48 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 49 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 50 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 51 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 52 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 53 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 54 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 55 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 56 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 57 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 58 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 59 / 196 ] simplifiying candidate # 5.552 * * * * [progress]: [ 60 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 61 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 62 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 63 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 64 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 65 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 66 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 67 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 68 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 69 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 70 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 71 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 72 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 73 / 196 ] simplifiying candidate #real (real->posit16 (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N))))))> 5.553 * * * * [progress]: [ 74 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 75 / 196 ] simplifiying candidate # 5.553 * * * * [progress]: [ 76 / 196 ] simplifiying candidate # 5.553 * * * * 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5.558 * * * * [progress]: [ 153 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 154 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 155 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 156 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 157 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 158 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 159 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 160 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 161 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 162 / 196 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 5.558 * * * * [progress]: [ 163 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 164 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 165 / 196 ] simplifiying candidate # 5.558 * * * * [progress]: [ 166 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 167 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 168 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 169 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 170 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 171 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 172 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 173 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 174 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 175 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 176 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 177 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 178 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 179 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 180 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 181 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 182 / 196 ] simplifiying candidate # 5.559 * * * * [progress]: [ 183 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 184 / 196 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 5.560 * * * * [progress]: [ 185 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 186 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 187 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 188 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 189 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 190 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 191 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 192 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 193 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 194 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 195 / 196 ] simplifiying candidate # 5.560 * * * * [progress]: [ 196 / 196 ] simplifiying candidate # 5.565 * [simplify]: Simplifying: (expm1 (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (* (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N)) (log (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N))) (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (/ (sqrt (+ 1 N)) 1)) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) 1))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* 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1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ 1 1) (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.568 * * [simplify]: iteration 0: 269 enodes 5.651 * * [simplify]: iteration 1: 580 enodes 5.844 * * [simplify]: iteration 2: 1403 enodes 6.820 * * [simplify]: iteration 3: 4636 enodes 7.694 * * [simplify]: iteration complete: 5000 enodes 7.695 * * [simplify]: Extracting #0: cost 112 inf + 0 7.696 * * [simplify]: Extracting #1: cost 573 inf + 3 7.701 * * [simplify]: Extracting #2: cost 1110 inf + 7223 7.733 * * [simplify]: Extracting #3: cost 588 inf + 114018 7.831 * * [simplify]: Extracting #4: cost 44 inf + 278204 7.943 * * [simplify]: Extracting #5: cost 0 inf + 293766 8.030 * [simplify]: Simplified to: (expm1 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (/ (+ 1 N) N) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (/ (+ 1 N) N) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (fma (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (log (/ (sqrt (+ 1 N)) N)) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N))))) (fma (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (* (log (sqrt (+ 1 N))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (fma 2 (log (cbrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (+ 1 N)))) (+ (log (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (+ (log (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (log (sqrt (+ 1 N))))) (+ (log (sqrt (+ 1 N))) (log (* (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (cbrt (sqrt (+ 1 N)))))) (fma 2 (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (+ (log (/ (/ (fabs (cbrt (+ 1 N))) (cbrt N)) (cbrt N))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (/ (fabs (cbrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (fabs (cbrt (+ 1 N))))) (+ (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N))))) (- (log (sqrt (+ 1 N))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (+ 1 N))) (- (log (sqrt (+ 1 N))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (+ 1 N))) (+ (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N))))) (- (log (sqrt (+ 1 N))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (cbrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (cbrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (cbrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (cbrt (sqrt (+ 1 N))))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (log (/ (sqrt (+ 1 N)) N)) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (log (sqrt (+ 1 N)))) (sqrt (+ 1 N)) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (* (/ (+ 1 N) N) (/ (sqrt (+ 1 N)) (* N N))) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (* (/ (sqrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) N)) (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (* (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (* (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (cbrt (sqrt (+ 1 N)))) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (/ (cbrt (sqrt (+ 1 N))) N) (/ (/ (fabs (cbrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (fabs (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (fabs (cbrt (+ 1 N))) (/ (sqrt (cbrt (+ 1 N))) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (- (fma N N 1) N))) (* (sqrt (- 1 N)) N) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (sqrt (+ 1 N)) (+ 1 N)) (fabs (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) 1 (sqrt (+ 1 N)) 1 (sqrt (+ 1 N)) (sqrt (fma N (* N N) 1)) (sqrt (- (fma N N 1) N)) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (fma (* N N) 1/2 (log N))) (+ (- (- (log (- +nan.0)) (/ (- +nan.0) N)) (/ +nan.0 (* N N))) (- (log +nan.0) (log N))) (+ (- (log (/ -1 N)) (fma +nan.0 (/ -1 N) (/ +nan.0 (* N N)))) (+ (log (- +nan.0)) (log +nan.0))) (fma 1/2 N (* (* N N) (- (* 1/6 N) 1/4))) (+ (/ +nan.0 N) (- (log +nan.0) (/ +nan.0 (* N N)))) (+ (/ +nan.0 N) (- (log +nan.0) (/ +nan.0 (* N N)))) (fma N -1/8 (+ (/ 1 N) 1/2)) (- (- (/ (/ +nan.0 (* N N)) N) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (- (/ (/ +nan.0 (* N N)) N) (/ +nan.0 N)) (/ +nan.0 (* N N))) (fma -1/8 (* N N) (fma 1/2 N 1)) (- (- (/ +nan.0 N) +nan.0) (/ +nan.0 (* N N))) (- (- (/ +nan.0 N) +nan.0) (/ +nan.0 (* N N))) 8.054 * * * [progress]: adding candidates to table 8.928 * * [progress]: iteration 4 / 4 8.928 * * * [progress]: picking best candidate 8.947 * * * * [pick]: Picked # 8.947 * * * [progress]: localizing error 8.972 * * * [progress]: generating rewritten candidates 8.972 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.997 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 9.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.047 * * * [progress]: generating series expansions 9.047 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.047 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 N))) (log (sqrt N))) into (- (log (sqrt (+ N 1))) (log (sqrt N))) 9.047 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in (N) around 0 9.047 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 9.047 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.047 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.047 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.047 * [taylor]: Taking taylor expansion of N in N 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 1 into 1 9.047 * [taylor]: Taking taylor expansion of 1 in N 9.047 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (+ 0 1) into 1 9.048 * [backup-simplify]: Simplify (sqrt 1) into 1 9.048 * [backup-simplify]: Simplify (+ 1 0) into 1 9.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.049 * [backup-simplify]: Simplify (log 1) into 0 9.049 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.049 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.049 * [taylor]: Taking taylor expansion of N in N 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (sqrt 0) into 0 9.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.050 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.050 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 9.050 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.050 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.050 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.050 * [taylor]: Taking taylor expansion of N in N 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 1 into 1 9.050 * [taylor]: Taking taylor expansion of 1 in N 9.050 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (+ 0 1) into 1 9.051 * [backup-simplify]: Simplify (sqrt 1) into 1 9.051 * [backup-simplify]: Simplify (+ 1 0) into 1 9.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.052 * [backup-simplify]: Simplify (log 1) into 0 9.052 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.052 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.052 * [taylor]: Taking taylor expansion of N in N 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 1 into 1 9.052 * [backup-simplify]: Simplify (sqrt 0) into 0 9.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.053 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.054 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.054 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.054 * [backup-simplify]: Simplify (+ 0 (- (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0))) 9.055 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.061 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.062 * [backup-simplify]: Simplify (+ 1/2 (- +nan.0)) into (- +nan.0) 9.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.075 * [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 9.075 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.076 * [backup-simplify]: Simplify (+ -1/4 (- +nan.0)) into (- +nan.0) 9.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.077 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (+ (log N) (log +nan.0))))) into (- (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 9.077 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (/ 1 N)))) into (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) 9.077 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in (N) around 0 9.077 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 9.077 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.077 * [taylor]: Taking taylor expansion of N in N 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (/ 1 1) into 1 9.078 * [taylor]: Taking taylor expansion of 1 in N 9.078 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (+ 1 0) into 1 9.079 * [backup-simplify]: Simplify (sqrt 0) into 0 9.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.080 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.080 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.080 * [taylor]: Taking taylor expansion of N in N 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.081 * [backup-simplify]: Simplify (/ 1 1) into 1 9.081 * [backup-simplify]: Simplify (sqrt 0) into 0 9.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.084 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.084 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 9.084 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.084 * [taylor]: Taking taylor expansion of N in N 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (/ 1 1) into 1 9.084 * [taylor]: Taking taylor expansion of 1 in N 9.084 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (+ 1 0) into 1 9.085 * [backup-simplify]: Simplify (sqrt 0) into 0 9.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.087 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.087 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.087 * [taylor]: Taking taylor expansion of N in N 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (/ 1 1) into 1 9.088 * [backup-simplify]: Simplify (sqrt 0) into 0 9.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.090 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.091 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.093 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.094 * [backup-simplify]: Simplify (+ 0 1) into 1 9.097 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.108 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.115 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.115 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.116 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.117 * [backup-simplify]: Simplify (+ 0 0) into 0 9.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.135 * [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 9.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.160 * [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 9.160 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.161 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (+ 0 0) into 0 9.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.180 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.200 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.206 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.217 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.221 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.227 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.227 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 (- N))))) (log (sqrt (/ 1 (- N))))) into (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) 9.227 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.227 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 9.227 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.227 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.227 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.227 * [taylor]: Taking taylor expansion of 1 in N 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.227 * [taylor]: Taking taylor expansion of N in N 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.228 * [backup-simplify]: Simplify (/ 1 1) into 1 9.228 * [backup-simplify]: Simplify (- 1) into -1 9.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.229 * [backup-simplify]: Simplify (sqrt 0) into 0 9.230 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.231 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.231 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.231 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.231 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.231 * [taylor]: Taking taylor expansion of -1 in N 9.231 * [backup-simplify]: Simplify -1 into -1 9.231 * [taylor]: Taking taylor expansion of N in N 9.231 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify 1 into 1 9.231 * [backup-simplify]: Simplify (/ -1 1) into -1 9.232 * [backup-simplify]: Simplify (sqrt 0) into 0 9.233 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.233 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.233 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 9.234 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.234 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.234 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.234 * [taylor]: Taking taylor expansion of 1 in N 9.234 * [backup-simplify]: Simplify 1 into 1 9.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.234 * [taylor]: Taking taylor expansion of N in N 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 1 into 1 9.234 * [backup-simplify]: Simplify (/ 1 1) into 1 9.234 * [backup-simplify]: Simplify (- 1) into -1 9.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.235 * [backup-simplify]: Simplify (sqrt 0) into 0 9.237 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.237 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.237 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.237 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.237 * [taylor]: Taking taylor expansion of -1 in N 9.237 * [backup-simplify]: Simplify -1 into -1 9.237 * [taylor]: Taking taylor expansion of N in N 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.238 * [backup-simplify]: Simplify (/ -1 1) into -1 9.238 * [backup-simplify]: Simplify (sqrt 0) into 0 9.239 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.240 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.241 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.242 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (- 0) into 0 9.243 * [backup-simplify]: Simplify (+ 1 0) into 1 9.245 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.255 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.256 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.256 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (- 0) into 0 9.257 * [backup-simplify]: Simplify (+ 0 0) into 0 9.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.269 * [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 9.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.281 * [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 9.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.282 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (- 0) into 0 9.283 * [backup-simplify]: Simplify (+ 0 0) into 0 9.286 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.312 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.329 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.332 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.339 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.343 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.348 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.348 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.348 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 N)) (sqrt N))) into (log (sqrt (/ (+ N 1) N))) 9.348 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.348 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.348 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.348 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.348 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.348 * [taylor]: Taking taylor expansion of N in N 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [taylor]: Taking taylor expansion of 1 in N 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [taylor]: Taking taylor expansion of N in N 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.349 * [backup-simplify]: Simplify (+ 0 1) into 1 9.349 * [backup-simplify]: Simplify (/ 1 1) into 1 9.350 * [backup-simplify]: Simplify (sqrt 0) into 0 9.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.351 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.351 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.351 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.351 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.351 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.351 * [taylor]: Taking taylor expansion of N in N 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify 1 into 1 9.351 * [taylor]: Taking taylor expansion of 1 in N 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [taylor]: Taking taylor expansion of N in N 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [backup-simplify]: Simplify (+ 0 1) into 1 9.352 * [backup-simplify]: Simplify (/ 1 1) into 1 9.353 * [backup-simplify]: Simplify (sqrt 0) into 0 9.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.354 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.355 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.355 * [backup-simplify]: Simplify (+ 1 0) into 1 9.356 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.359 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.386 * [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 9.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.386 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.386 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 9.386 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 9.386 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.386 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.386 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.387 * [taylor]: Taking taylor expansion of N in N 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.387 * [taylor]: Taking taylor expansion of N in N 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [backup-simplify]: Simplify (/ 1 1) into 1 9.387 * [taylor]: Taking taylor expansion of 1 in N 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [backup-simplify]: Simplify (+ 1 0) into 1 9.388 * [backup-simplify]: Simplify (* 0 1) into 0 9.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (+ 0 1) into 1 9.389 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.389 * [backup-simplify]: Simplify (sqrt 1) into 1 9.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.390 * [backup-simplify]: Simplify (+ 0 0) into 0 9.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.391 * [backup-simplify]: Simplify (log 1) into 0 9.391 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.391 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.391 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.391 * [taylor]: Taking taylor expansion of N in N 9.391 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify 1 into 1 9.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.391 * [taylor]: Taking taylor expansion of N in N 9.391 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify 1 into 1 9.391 * [backup-simplify]: Simplify (/ 1 1) into 1 9.391 * [taylor]: Taking taylor expansion of 1 in N 9.391 * [backup-simplify]: Simplify 1 into 1 9.392 * [backup-simplify]: Simplify (+ 1 0) into 1 9.392 * [backup-simplify]: Simplify (* 0 1) into 0 9.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.393 * [backup-simplify]: Simplify (+ 0 1) into 1 9.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.393 * [backup-simplify]: Simplify (sqrt 1) into 1 9.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.394 * [backup-simplify]: Simplify (+ 0 0) into 0 9.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.395 * [backup-simplify]: Simplify (log 1) into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.396 * [backup-simplify]: Simplify 1/2 into 1/2 9.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.397 * [backup-simplify]: Simplify (+ 0 0) into 0 9.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.398 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.400 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.400 * [backup-simplify]: Simplify -1/4 into -1/4 9.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.401 * [backup-simplify]: Simplify (+ 0 0) into 0 9.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.405 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.405 * [backup-simplify]: Simplify 1/6 into 1/6 9.406 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.406 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 9.406 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.406 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.406 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.406 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.406 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.406 * [taylor]: Taking taylor expansion of 1 in N 9.406 * [backup-simplify]: Simplify 1 into 1 9.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.406 * [taylor]: Taking taylor expansion of N in N 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 1 into 1 9.406 * [backup-simplify]: Simplify (/ 1 1) into 1 9.406 * [backup-simplify]: Simplify (- 1) into -1 9.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.407 * [backup-simplify]: Simplify (sqrt 0) into 0 9.408 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.408 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.408 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.408 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.408 * [taylor]: Taking taylor expansion of -1 in N 9.408 * [backup-simplify]: Simplify -1 into -1 9.408 * [taylor]: Taking taylor expansion of N in N 9.408 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify 1 into 1 9.408 * [backup-simplify]: Simplify (/ -1 1) into -1 9.409 * [backup-simplify]: Simplify (sqrt 0) into 0 9.410 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.410 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.410 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.416 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.418 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.419 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.419 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.419 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.419 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.419 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.419 * [taylor]: Taking taylor expansion of 1 in N 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.419 * [taylor]: Taking taylor expansion of N in N 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (/ 1 1) into 1 9.420 * [backup-simplify]: Simplify (- 1) into -1 9.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.421 * [backup-simplify]: Simplify (sqrt 0) into 0 9.422 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.422 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.422 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.422 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.422 * [taylor]: Taking taylor expansion of -1 in N 9.422 * [backup-simplify]: Simplify -1 into -1 9.422 * [taylor]: Taking taylor expansion of N in N 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.423 * [backup-simplify]: Simplify (/ -1 1) into -1 9.423 * [backup-simplify]: Simplify (sqrt 0) into 0 9.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.425 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.425 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.430 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.432 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.433 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.434 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.435 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.444 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.446 * [backup-simplify]: Simplify (- 0) into 0 9.446 * [backup-simplify]: Simplify (+ 1 0) into 1 9.449 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.453 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.462 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.468 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.473 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.475 * [backup-simplify]: Simplify (- 0) into 0 9.475 * [backup-simplify]: Simplify (+ 0 0) into 0 9.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.484 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.498 * [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 9.498 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.499 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.499 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.499 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.499 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.499 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.499 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.499 * [taylor]: Taking taylor expansion of N in N 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify 1 into 1 9.499 * [taylor]: Taking taylor expansion of 1 in N 9.499 * [backup-simplify]: Simplify 1 into 1 9.499 * [backup-simplify]: Simplify (+ 0 1) into 1 9.500 * [backup-simplify]: Simplify (sqrt 1) into 1 9.500 * [backup-simplify]: Simplify (+ 1 0) into 1 9.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.501 * [backup-simplify]: Simplify (log 1) into 0 9.501 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.501 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.501 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.501 * [taylor]: Taking taylor expansion of N in N 9.501 * [backup-simplify]: Simplify 0 into 0 9.501 * [backup-simplify]: Simplify 1 into 1 9.501 * [taylor]: Taking taylor expansion of 1 in N 9.501 * [backup-simplify]: Simplify 1 into 1 9.501 * [backup-simplify]: Simplify (+ 0 1) into 1 9.501 * [backup-simplify]: Simplify (sqrt 1) into 1 9.502 * [backup-simplify]: Simplify (+ 1 0) into 1 9.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.502 * [backup-simplify]: Simplify (log 1) into 0 9.502 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.503 * [backup-simplify]: Simplify 1/2 into 1/2 9.503 * [backup-simplify]: Simplify (+ 0 0) into 0 9.504 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.506 * [backup-simplify]: Simplify -1/4 into -1/4 9.506 * [backup-simplify]: Simplify (+ 0 0) into 0 9.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.510 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.510 * [backup-simplify]: Simplify 1/6 into 1/6 9.510 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.510 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.510 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.510 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.510 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.510 * [taylor]: Taking taylor expansion of N in N 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (/ 1 1) into 1 9.511 * [taylor]: Taking taylor expansion of 1 in N 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (+ 1 0) into 1 9.511 * [backup-simplify]: Simplify (sqrt 0) into 0 9.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.513 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.513 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.513 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.513 * [taylor]: Taking taylor expansion of N in N 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 1 into 1 9.513 * [backup-simplify]: Simplify (/ 1 1) into 1 9.513 * [taylor]: Taking taylor expansion of 1 in N 9.513 * [backup-simplify]: Simplify 1 into 1 9.513 * [backup-simplify]: Simplify (+ 1 0) into 1 9.514 * [backup-simplify]: Simplify (sqrt 0) into 0 9.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.515 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.515 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.516 * [backup-simplify]: Simplify (+ 0 1) into 1 9.518 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.523 * [backup-simplify]: Simplify (+ 0 0) into 0 9.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.541 * [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 9.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.542 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.542 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.542 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.542 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.542 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.542 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.542 * [taylor]: Taking taylor expansion of 1 in N 9.542 * [backup-simplify]: Simplify 1 into 1 9.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.542 * [taylor]: Taking taylor expansion of N in N 9.542 * [backup-simplify]: Simplify 0 into 0 9.542 * [backup-simplify]: Simplify 1 into 1 9.543 * [backup-simplify]: Simplify (/ 1 1) into 1 9.543 * [backup-simplify]: Simplify (- 1) into -1 9.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.544 * [backup-simplify]: Simplify (sqrt 0) into 0 9.545 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.546 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.546 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.546 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.546 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.546 * [taylor]: Taking taylor expansion of 1 in N 9.546 * [backup-simplify]: Simplify 1 into 1 9.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.546 * [taylor]: Taking taylor expansion of N in N 9.546 * [backup-simplify]: Simplify 0 into 0 9.546 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (/ 1 1) into 1 9.547 * [backup-simplify]: Simplify (- 1) into -1 9.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.548 * [backup-simplify]: Simplify (sqrt 0) into 0 9.549 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.550 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.550 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.552 * [backup-simplify]: Simplify (- 0) into 0 9.552 * [backup-simplify]: Simplify (+ 1 0) into 1 9.555 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.564 * [backup-simplify]: Simplify (- 0) into 0 9.564 * [backup-simplify]: Simplify (+ 0 0) into 0 9.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.585 * [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 9.585 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.586 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.586 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) (sqrt N)) into (sqrt (/ (+ N 1) N)) 9.586 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 9.586 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.586 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.586 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.586 * [taylor]: Taking taylor expansion of N in N 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [taylor]: Taking taylor expansion of 1 in N 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [taylor]: Taking taylor expansion of N in N 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (+ 0 1) into 1 9.587 * [backup-simplify]: Simplify (/ 1 1) into 1 9.588 * [backup-simplify]: Simplify (sqrt 0) into 0 9.589 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.589 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.590 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.590 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.590 * [taylor]: Taking taylor expansion of N in N 9.590 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify 1 into 1 9.590 * [taylor]: Taking taylor expansion of 1 in N 9.590 * [backup-simplify]: Simplify 1 into 1 9.590 * [taylor]: Taking taylor expansion of N in N 9.590 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify 1 into 1 9.590 * [backup-simplify]: Simplify (+ 0 1) into 1 9.591 * [backup-simplify]: Simplify (/ 1 1) into 1 9.591 * [backup-simplify]: Simplify (sqrt 0) into 0 9.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.593 * [backup-simplify]: Simplify (+ 1 0) into 1 9.594 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.597 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.597 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.597 * [backup-simplify]: Simplify (+ 0 0) into 0 9.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.603 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.603 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 9.603 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 9.603 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.603 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.603 * [taylor]: Taking taylor expansion of N in N 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.603 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.603 * [taylor]: Taking taylor expansion of N in N 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.604 * [backup-simplify]: Simplify (/ 1 1) into 1 9.604 * [taylor]: Taking taylor expansion of 1 in N 9.604 * [backup-simplify]: Simplify 1 into 1 9.604 * [backup-simplify]: Simplify (+ 1 0) into 1 9.605 * [backup-simplify]: Simplify (* 0 1) into 0 9.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.606 * [backup-simplify]: Simplify (+ 0 1) into 1 9.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.607 * [backup-simplify]: Simplify (sqrt 1) into 1 9.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.609 * [backup-simplify]: Simplify (+ 0 0) into 0 9.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.611 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.611 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.611 * [taylor]: Taking taylor expansion of N in N 9.611 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify 1 into 1 9.611 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.611 * [taylor]: Taking taylor expansion of N in N 9.611 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify 1 into 1 9.611 * [backup-simplify]: Simplify (/ 1 1) into 1 9.611 * [taylor]: Taking taylor expansion of 1 in N 9.611 * [backup-simplify]: Simplify 1 into 1 9.612 * [backup-simplify]: Simplify (+ 1 0) into 1 9.612 * [backup-simplify]: Simplify (* 0 1) into 0 9.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.613 * [backup-simplify]: Simplify (+ 0 1) into 1 9.614 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.614 * [backup-simplify]: Simplify (sqrt 1) into 1 9.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.616 * [backup-simplify]: Simplify (+ 0 0) into 0 9.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.617 * [backup-simplify]: Simplify 1 into 1 9.617 * [backup-simplify]: Simplify 1/2 into 1/2 9.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.621 * [backup-simplify]: Simplify (+ 0 0) into 0 9.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.623 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.623 * [backup-simplify]: Simplify -1/8 into -1/8 9.624 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 9.624 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 9.624 * [approximate]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 9.624 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.624 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.624 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.624 * [taylor]: Taking taylor expansion of 1 in N 9.624 * [backup-simplify]: Simplify 1 into 1 9.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.624 * [taylor]: Taking taylor expansion of N in N 9.624 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify 1 into 1 9.625 * [backup-simplify]: Simplify (/ 1 1) into 1 9.625 * [backup-simplify]: Simplify (- 1) into -1 9.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.626 * [backup-simplify]: Simplify (sqrt 0) into 0 9.627 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.627 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.627 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.627 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.627 * [taylor]: Taking taylor expansion of -1 in N 9.627 * [backup-simplify]: Simplify -1 into -1 9.628 * [taylor]: Taking taylor expansion of N in N 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify 1 into 1 9.628 * [backup-simplify]: Simplify (/ -1 1) into -1 9.628 * [backup-simplify]: Simplify (sqrt 0) into 0 9.630 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.630 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.630 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.630 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.630 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.630 * [taylor]: Taking taylor expansion of 1 in N 9.630 * [backup-simplify]: Simplify 1 into 1 9.630 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.630 * [taylor]: Taking taylor expansion of N in N 9.630 * [backup-simplify]: Simplify 0 into 0 9.630 * [backup-simplify]: Simplify 1 into 1 9.631 * [backup-simplify]: Simplify (/ 1 1) into 1 9.631 * [backup-simplify]: Simplify (- 1) into -1 9.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.632 * [backup-simplify]: Simplify (sqrt 0) into 0 9.633 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.633 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.633 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.633 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.634 * [taylor]: Taking taylor expansion of -1 in N 9.634 * [backup-simplify]: Simplify -1 into -1 9.634 * [taylor]: Taking taylor expansion of N in N 9.634 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify 1 into 1 9.634 * [backup-simplify]: Simplify (/ -1 1) into -1 9.634 * [backup-simplify]: Simplify (sqrt 0) into 0 9.636 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.637 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.637 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.637 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.642 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.644 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.646 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.646 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.655 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (- 0) into 0 9.657 * [backup-simplify]: Simplify (+ 1 0) into 1 9.660 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.663 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.669 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.675 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.677 * [backup-simplify]: Simplify (- 0) into 0 9.677 * [backup-simplify]: Simplify (+ 0 0) into 0 9.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.684 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.685 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.685 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.686 * * * [progress]: simplifying candidates 9.686 * * * * [progress]: [ 1 / 247 ] simplifiying candidate # 9.686 * * * * [progress]: [ 2 / 247 ] 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N))) (log (sqrt N))))) (log (/ (sqrt (+ 1 N)) (sqrt N)))))> 9.689 * * * * [progress]: [ 80 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 81 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 82 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 83 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 84 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 85 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 86 / 247 ] simplifiying candidate # 9.689 * * * * [progress]: [ 87 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 88 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 89 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 90 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 91 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 92 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 93 / 247 ] simplifiying candidate # 9.690 * * * * [progress]: [ 94 / 247 ] 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* * * * [progress]: [ 110 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 111 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 112 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 113 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 114 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 115 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 116 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 117 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 118 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 119 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 120 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 121 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 122 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 123 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 124 / 247 ] simplifiying candidate # 9.691 * * * * [progress]: [ 125 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simplifiying candidate # 9.695 * * * * [progress]: [ 231 / 247 ] simplifiying candidate # 9.695 * * * * [progress]: [ 232 / 247 ] simplifiying candidate # 9.695 * * * * [progress]: [ 233 / 247 ] simplifiying candidate # 9.695 * * * * [progress]: [ 234 / 247 ] simplifiying candidate # 9.695 * * * * [progress]: [ 235 / 247 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) (sqrt N)))))))> 9.696 * * * * [progress]: [ 236 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 237 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 238 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 239 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 240 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 241 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 242 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 243 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 244 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 245 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 246 / 247 ] simplifiying candidate # 9.696 * * * * [progress]: [ 247 / 247 ] simplifiying candidate # 9.699 * [simplify]: Simplifying: (fma 1/2 (log (+ 1 N)) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma 1/2 (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1/2 (log (+ 1 N)) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma 1/2 (log (+ 1 N)) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma 1/2 (log (+ 1 N)) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma 1/2 (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* 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