22.568 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.084 * * [simplify]: iteration 0: 6 enodes 0.086 * * [simplify]: iteration 1: 11 enodes 0.089 * * [simplify]: iteration 2: 13 enodes 0.092 * * [simplify]: iteration complete: 13 enodes 0.092 * * [simplify]: Extracting #0: cost 1 inf + 0 0.092 * * [simplify]: Extracting #1: cost 4 inf + 0 0.092 * * [simplify]: Extracting #2: cost 6 inf + 0 0.092 * * [simplify]: Extracting #3: cost 2 inf + 475 0.092 * * [simplify]: Extracting #4: cost 0 inf + 518 0.093 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.117 * * * [progress]: generating series expansions 0.117 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.117 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.117 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.117 * [taylor]: Taking taylor expansion of (log1p N) in N 0.118 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.118 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.118 * [taylor]: Taking taylor expansion of 1 in N 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of N in N 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (log N) in N 0.119 * [taylor]: Taking taylor expansion of N in N 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.120 * [taylor]: Taking taylor expansion of (log1p N) in N 0.120 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.120 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of 1 in N 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (log 1) into 0 0.120 * [taylor]: Taking taylor expansion of (log N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.121 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.121 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.121 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.146 * [backup-simplify]: Simplify -1/2 into -1/2 0.146 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.146 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.146 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.147 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.147 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of 1 in N 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (log 1) into 0 0.150 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.150 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.150 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.154 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.154 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.168 * [backup-simplify]: Simplify -1/2 into -1/2 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [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 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [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 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.183 * [backup-simplify]: Simplify 1/3 into 1/3 0.183 * [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)))) 0.183 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.183 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.183 * [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) 0.185 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.186 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.186 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ -1 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.188 * [backup-simplify]: Simplify (log -1) into (log -1) 0.188 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.188 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.188 * [taylor]: Taking taylor expansion of -1 in N 0.188 * [backup-simplify]: Simplify -1 into -1 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ -1 1) into -1 0.189 * [backup-simplify]: Simplify (log -1) into (log -1) 0.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.191 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.191 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ -1 0) into -1 0.197 * [backup-simplify]: Simplify -1 into -1 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.203 * [backup-simplify]: Simplify -1/2 into -1/2 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [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 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [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 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.211 * [backup-simplify]: Simplify -1/3 into -1/3 0.211 * [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)))) 0.211 * * * [progress]: simplifying candidates 0.211 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.212 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.212 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.213 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.213 * [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))) (- 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)))) 0.214 * * [simplify]: iteration 0: 83 enodes 0.232 * * [simplify]: iteration 1: 185 enodes 0.310 * * [simplify]: iteration 2: 403 enodes 0.460 * * [simplify]: iteration 3: 1137 enodes 0.809 * * [simplify]: iteration 4: 2047 enodes 1.130 * * [simplify]: iteration complete: 2047 enodes 1.130 * * [simplify]: Extracting #0: cost 24 inf + 0 1.131 * * [simplify]: Extracting #1: cost 222 inf + 0 1.137 * * [simplify]: Extracting #2: cost 376 inf + 4275 1.145 * * [simplify]: Extracting #3: cost 201 inf + 41238 1.168 * * [simplify]: Extracting #4: cost 77 inf + 68487 1.201 * * [simplify]: Extracting #5: cost 9 inf + 90610 1.236 * * [simplify]: Extracting #6: cost 2 inf + 93628 1.274 * * [simplify]: Extracting #7: cost 0 inf + 94173 1.292 * [simplify]: Simplified to: (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log 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 (log1p N) (log1p N) (* (log N) (+ (log N) (log1p N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log 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))) (- N (fma (* N N) 1/2 (log N))) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) 1.294 * * * [progress]: adding candidates to table 1.570 * * [progress]: iteration 2 / 4 1.570 * * * [progress]: picking best candidate 1.581 * * * * [pick]: Picked # 1.582 * * * [progress]: localizing error 1.613 * * * [progress]: generating rewritten candidates 1.613 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.622 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.673 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.688 * * * [progress]: generating series expansions 1.688 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.688 * [backup-simplify]: Simplify (- (* (log1p N) (log1p N)) (* (log N) (log N))) into (- (pow (log1p N) 2) (pow (log N) 2)) 1.689 * [approximate]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in (N) around 0 1.689 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 1.689 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 1.689 * [taylor]: Taking taylor expansion of (log1p N) in N 1.689 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.689 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.689 * [taylor]: Taking taylor expansion of 1 in N 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [taylor]: Taking taylor expansion of N in N 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (+ 1 0) into 1 1.690 * [backup-simplify]: Simplify (log 1) into 0 1.691 * [backup-simplify]: Simplify (+ 0 1) into 1 1.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.692 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.692 * [taylor]: Taking taylor expansion of (log N) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (log 1) into 0 1.693 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.693 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 1.693 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 1.693 * [taylor]: Taking taylor expansion of (log1p N) in N 1.693 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.693 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.693 * [taylor]: Taking taylor expansion of 1 in N 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [taylor]: Taking taylor expansion of N in N 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (+ 1 0) into 1 1.694 * [backup-simplify]: Simplify (log 1) into 0 1.695 * [backup-simplify]: Simplify (+ 0 1) into 1 1.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.696 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.696 * [taylor]: Taking taylor expansion of (log N) in N 1.696 * [taylor]: Taking taylor expansion of N in N 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (log 1) into 0 1.697 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.697 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.698 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.698 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 1.698 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 1.698 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 1.698 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 1.699 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.701 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.701 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 1.702 * [backup-simplify]: Simplify (- 0) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.703 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.706 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.707 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.707 * [backup-simplify]: Simplify (- 0) into 0 1.708 * [backup-simplify]: Simplify (+ 1 0) into 1 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.712 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 1.712 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.716 * [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 1.716 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.717 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.717 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ -1 0) into -1 1.718 * [backup-simplify]: Simplify -1 into -1 1.718 * [backup-simplify]: Simplify (+ (* -1 (pow N 3)) (+ (* 1 (pow N 2)) (- (pow (log N) 2)))) into (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) 1.718 * [backup-simplify]: Simplify (- (* (log1p (/ 1 N)) (log1p (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N)))) into (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) 1.718 * [approximate]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 1.718 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 1.718 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 1.718 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.718 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.718 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.718 * [taylor]: Taking taylor expansion of 1 in N 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.718 * [taylor]: Taking taylor expansion of N in N 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [backup-simplify]: Simplify (+ 0 1) into 1 1.719 * [backup-simplify]: Simplify (log 1) into 0 1.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.719 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.719 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.719 * [taylor]: Taking taylor expansion of N in N 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (/ 1 1) into 1 1.720 * [backup-simplify]: Simplify (log 1) into 0 1.720 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.720 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 1.720 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 1.720 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.720 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.720 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.720 * [taylor]: Taking taylor expansion of 1 in N 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.720 * [taylor]: Taking taylor expansion of N in N 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [backup-simplify]: Simplify (+ 0 1) into 1 1.721 * [backup-simplify]: Simplify (log 1) into 0 1.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.722 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.722 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.722 * [taylor]: Taking taylor expansion of N in N 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (/ 1 1) into 1 1.722 * [backup-simplify]: Simplify (log 1) into 0 1.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.723 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.724 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.724 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 1.724 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ 1 0) into 1 1.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.726 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.726 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 1.726 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.728 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.728 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 1.728 * [backup-simplify]: Simplify (- 0) into 0 1.728 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 1.728 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 1.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.731 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 1.732 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.734 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.734 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 1.735 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 1.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [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 1.739 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.739 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 1.740 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [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 1.744 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.745 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.745 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 1.746 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1)) into (- (+ (* 2/3 (log N)) 1)) 1.747 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 N))) 1)) (pow (/ 1 N) 3)) (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (* (- (* 2 (log (/ 1 N)))) (/ 1 N)))) into (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) 1.747 * [backup-simplify]: Simplify (- (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) into (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) 1.747 * [approximate]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 1.747 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 1.747 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 1.747 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.747 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.747 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.747 * [taylor]: Taking taylor expansion of 1 in N 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.747 * [taylor]: Taking taylor expansion of -1 in N 1.747 * [backup-simplify]: Simplify -1 into -1 1.747 * [taylor]: Taking taylor expansion of N in N 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ -1 1) into -1 1.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.749 * [backup-simplify]: Simplify (log -1) into (log -1) 1.750 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.750 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.750 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.750 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.750 * [taylor]: Taking taylor expansion of -1 in N 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ -1 1) into -1 1.751 * [backup-simplify]: Simplify (log -1) into (log -1) 1.751 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.751 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 1.752 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 1.752 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.752 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.752 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.752 * [taylor]: Taking taylor expansion of 1 in N 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.752 * [taylor]: Taking taylor expansion of -1 in N 1.752 * [backup-simplify]: Simplify -1 into -1 1.752 * [taylor]: Taking taylor expansion of N in N 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (/ -1 1) into -1 1.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.753 * [backup-simplify]: Simplify (log -1) into (log -1) 1.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.754 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.754 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.754 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.754 * [taylor]: Taking taylor expansion of -1 in N 1.754 * [backup-simplify]: Simplify -1 into -1 1.754 * [taylor]: Taking taylor expansion of N in N 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (/ -1 1) into -1 1.755 * [backup-simplify]: Simplify (log -1) into (log -1) 1.756 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.757 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.757 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.758 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.759 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.760 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.760 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.760 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 1.762 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ 1 0) into 1 1.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.764 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.765 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 1.765 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.768 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 1.769 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 1.772 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.774 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.775 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 1.776 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.778 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.779 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.780 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 1.780 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 1.780 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [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 1.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.786 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [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 1.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.796 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1.798 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1.802 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 (- N)))) 1) (* 2/3 (log -1))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 1.802 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.802 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 1.802 * [approximate]: Taking taylor expansion of (pow (log N) 2) in (N) around 0 1.802 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.802 * [taylor]: Taking taylor expansion of (log N) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (log 1) into 0 1.803 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.803 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.803 * [taylor]: Taking taylor expansion of (log N) in N 1.804 * [taylor]: Taking taylor expansion of N in N 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (log 1) into 0 1.804 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.805 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.805 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.805 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 1.805 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 1.806 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.807 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.807 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.811 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.812 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.817 * [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 1.817 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.818 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.828 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.829 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.830 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.846 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.847 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.848 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.877 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.878 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.880 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 1.880 * [backup-simplify]: Simplify (* (log (/ 1 N)) (log (/ 1 N))) into (pow (log (/ 1 N)) 2) 1.880 * [approximate]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in (N) around 0 1.880 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.880 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [backup-simplify]: Simplify (log 1) into 0 1.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.881 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.882 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.882 * [taylor]: Taking taylor expansion of N in N 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (log 1) into 0 1.883 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.883 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.884 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.884 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 1.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.887 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.891 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.892 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [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 1.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.901 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.913 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.914 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.932 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.934 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.960 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (pow (log (/ 1 N)) 2) into (pow (log (/ 1 N)) 2) 1.960 * [backup-simplify]: Simplify (* (log (/ 1 (- N))) (log (/ 1 (- N)))) into (pow (log (/ -1 N)) 2) 1.960 * [approximate]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in (N) around 0 1.960 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.960 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.960 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.960 * [taylor]: Taking taylor expansion of -1 in N 1.960 * [backup-simplify]: Simplify -1 into -1 1.960 * [taylor]: Taking taylor expansion of N in N 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ -1 1) into -1 1.961 * [backup-simplify]: Simplify (log -1) into (log -1) 1.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.961 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.961 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.961 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.961 * [taylor]: Taking taylor expansion of -1 in N 1.961 * [backup-simplify]: Simplify -1 into -1 1.961 * [taylor]: Taking taylor expansion of N in N 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ -1 1) into -1 1.962 * [backup-simplify]: Simplify (log -1) into (log -1) 1.962 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.963 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.963 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.964 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.964 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) 1.965 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.967 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.967 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.971 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [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 1.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.977 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 1.989 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.992 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 2.012 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.015 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 2.051 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.054 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (pow (- (log -1) (log (/ 1 (- N)))) 2) into (pow (- (log -1) (log (/ -1 N))) 2) 2.055 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.055 * [backup-simplify]: Simplify (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) into (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) 2.055 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in (N) around 0 2.055 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in N 2.055 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 2.055 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.055 * [taylor]: Taking taylor expansion of (log1p N) in N 2.055 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.055 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.055 * [taylor]: Taking taylor expansion of 1 in N 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of N in N 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (+ 1 0) into 1 2.056 * [backup-simplify]: Simplify (log 1) into 0 2.057 * [backup-simplify]: Simplify (+ 0 1) into 1 2.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.058 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.058 * [taylor]: Taking taylor expansion of (log N) in N 2.058 * [taylor]: Taking taylor expansion of N in N 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (log 1) into 0 2.059 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.059 * [taylor]: Taking taylor expansion of (+ (log N) (log1p N)) in N 2.059 * [taylor]: Taking taylor expansion of (log N) in N 2.059 * [taylor]: Taking taylor expansion of N in N 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (log 1) into 0 2.059 * [taylor]: Taking taylor expansion of (log1p N) in N 2.060 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.060 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.060 * [taylor]: Taking taylor expansion of 1 in N 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [taylor]: Taking taylor expansion of N in N 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.061 * [backup-simplify]: Simplify (log 1) into 0 2.061 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.061 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.061 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.062 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.062 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 2.062 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.062 * [backup-simplify]: Simplify (+ (log N) 0) into (log N) 2.062 * [backup-simplify]: Simplify (/ (- (pow (log N) 2)) (log N)) into (* -1 (log N)) 2.063 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in N 2.063 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 2.063 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.063 * [taylor]: Taking taylor expansion of (log1p N) in N 2.063 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.063 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.063 * [taylor]: Taking taylor expansion of 1 in N 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (log 1) into 0 2.064 * [backup-simplify]: Simplify (+ 0 1) into 1 2.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.065 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.065 * [taylor]: Taking taylor expansion of (log N) in N 2.065 * [taylor]: Taking taylor expansion of N in N 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (log 1) into 0 2.066 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.066 * [taylor]: Taking taylor expansion of (+ (log N) (log1p N)) in N 2.066 * [taylor]: Taking taylor expansion of (log N) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (log 1) into 0 2.067 * [taylor]: Taking taylor expansion of (log1p N) in N 2.067 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.067 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.067 * [taylor]: Taking taylor expansion of 1 in N 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.068 * [backup-simplify]: Simplify (log 1) into 0 2.068 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.069 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.069 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.069 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.069 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 2.069 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.070 * [backup-simplify]: Simplify (+ (log N) 0) into (log N) 2.070 * [backup-simplify]: Simplify (/ (- (pow (log N) 2)) (log N)) into (* -1 (log N)) 2.070 * [backup-simplify]: Simplify (* -1 (log N)) into (* -1 (log N)) 2.070 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.072 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.072 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.075 * [backup-simplify]: Simplify (+ 0 1) into 1 2.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.076 * [backup-simplify]: Simplify (+ 0 1) into 1 2.077 * [backup-simplify]: Simplify (- (/ 0 (log N)) (+ (* (* -1 (log N)) (/ 1 (log N))))) into 1 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.081 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.081 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.089 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.089 * [backup-simplify]: Simplify (- (/ 1 (log N)) (+ (* (* -1 (log N)) (/ -1/2 (log N))) (* 1 (/ 1 (log N))))) into (- 1/2) 2.089 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.090 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (* -1 (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.090 * [backup-simplify]: Simplify (/ (- (* (log1p (/ 1 N)) (log1p (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N)))) (+ (log1p (/ 1 N)) (log (/ 1 N)))) into (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) 2.090 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in (N) around 0 2.090 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in N 2.090 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 2.090 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.090 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.090 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.090 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.090 * [taylor]: Taking taylor expansion of 1 in N 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [backup-simplify]: Simplify (+ 0 1) into 1 2.092 * [backup-simplify]: Simplify (log 1) into 0 2.092 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.092 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.092 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.092 * [taylor]: Taking taylor expansion of N in N 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [backup-simplify]: Simplify (log 1) into 0 2.093 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.093 * [taylor]: Taking taylor expansion of (+ (log (/ 1 N)) (log1p (/ 1 N))) in N 2.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.094 * [taylor]: Taking taylor expansion of N in N 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [backup-simplify]: Simplify (log 1) into 0 2.094 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.094 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.094 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.094 * [taylor]: Taking taylor expansion of 1 in N 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [backup-simplify]: Simplify (+ 0 1) into 1 2.096 * [backup-simplify]: Simplify (log 1) into 0 2.096 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.097 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.097 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.097 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.098 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.098 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.098 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 2.099 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ 1 0) into 1 2.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.102 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.105 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 2.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.106 * [backup-simplify]: Simplify (+ (- (log N)) (- (log N))) into (- (* 2 (log N))) 2.107 * [backup-simplify]: Simplify (/ (- (* 2 (log N))) (- (* 2 (log N)))) into 1 2.107 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in N 2.107 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 2.107 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.107 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.107 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.107 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.107 * [taylor]: Taking taylor expansion of 1 in N 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [backup-simplify]: Simplify (+ 0 1) into 1 2.108 * [backup-simplify]: Simplify (log 1) into 0 2.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.109 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.109 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [backup-simplify]: Simplify (log 1) into 0 2.110 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.110 * [taylor]: Taking taylor expansion of (+ (log (/ 1 N)) (log1p (/ 1 N))) in N 2.110 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (log 1) into 0 2.111 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.111 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.111 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.111 * [taylor]: Taking taylor expansion of 1 in N 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (log 1) into 0 2.113 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.113 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.113 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.114 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.114 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.114 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 2.115 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ 1 0) into 1 2.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.118 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.121 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.121 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 2.122 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.122 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.122 * [backup-simplify]: Simplify (+ (- (log N)) (- (log N))) into (- (* 2 (log N))) 2.123 * [backup-simplify]: Simplify (/ (- (* 2 (log N))) (- (* 2 (log N)))) into 1 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.128 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 2.129 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.133 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.134 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.139 * [backup-simplify]: Simplify (+ 0 1) into 1 2.139 * [backup-simplify]: Simplify (- (/ (+ (log N) 1) (- (* 2 (log N)))) (+ (* 1 (/ 1 (- (* 2 (log N))))))) into (- 1/2) 2.140 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [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 2.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.148 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 2.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.154 * [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 2.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.156 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.157 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.167 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.168 * [backup-simplify]: Simplify (- (/ (- (+ (* 2/3 (log N)) 1)) (- (* 2 (log N)))) (+ (* 1 (/ -1/2 (- (* 2 (log N))))) (* (- 1/2) (/ 1 (- (* 2 (log N))))))) into 1/3 2.168 * [backup-simplify]: Simplify 1/3 into 1/3 2.168 * [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)))) 2.169 * [backup-simplify]: Simplify (/ (- (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) (+ (log1p (/ 1 (- N))) (log (/ 1 (- N))))) into (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) 2.169 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in (N) around 0 2.169 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in N 2.169 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 2.169 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.169 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.169 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.169 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.169 * [taylor]: Taking taylor expansion of 1 in N 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.169 * [taylor]: Taking taylor expansion of -1 in N 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of N in N 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (/ -1 1) into -1 2.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.171 * [backup-simplify]: Simplify (log -1) into (log -1) 2.171 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.171 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.171 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.171 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.171 * [taylor]: Taking taylor expansion of -1 in N 2.171 * [backup-simplify]: Simplify -1 into -1 2.171 * [taylor]: Taking taylor expansion of N in N 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (/ -1 1) into -1 2.172 * [backup-simplify]: Simplify (log -1) into (log -1) 2.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.173 * [taylor]: Taking taylor expansion of (+ (log (/ -1 N)) (log1p (/ -1 N))) in N 2.173 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.173 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.173 * [taylor]: Taking taylor expansion of -1 in N 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of N in N 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (/ -1 1) into -1 2.174 * [backup-simplify]: Simplify (log -1) into (log -1) 2.174 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.174 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.174 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.174 * [taylor]: Taking taylor expansion of 1 in N 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.175 * [taylor]: Taking taylor expansion of -1 in N 2.175 * [backup-simplify]: Simplify -1 into -1 2.175 * [taylor]: Taking taylor expansion of N in N 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ -1 1) into -1 2.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.180 * [backup-simplify]: Simplify (log -1) into (log -1) 2.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.182 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.182 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.183 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.184 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 2.185 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ 1 0) into 1 2.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.188 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 2.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.191 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 2.191 * [backup-simplify]: Simplify (- 0) into 0 2.192 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 2.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.193 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) 2.195 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 2.195 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in N 2.195 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 2.195 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.195 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.195 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.195 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.195 * [taylor]: Taking taylor expansion of 1 in N 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.195 * [taylor]: Taking taylor expansion of -1 in N 2.195 * [backup-simplify]: Simplify -1 into -1 2.195 * [taylor]: Taking taylor expansion of N in N 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (/ -1 1) into -1 2.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.196 * [backup-simplify]: Simplify (log -1) into (log -1) 2.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.196 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.196 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.196 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.196 * [taylor]: Taking taylor expansion of -1 in N 2.196 * [backup-simplify]: Simplify -1 into -1 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (/ -1 1) into -1 2.197 * [backup-simplify]: Simplify (log -1) into (log -1) 2.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.197 * [taylor]: Taking taylor expansion of (+ (log (/ -1 N)) (log1p (/ -1 N))) in N 2.197 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.197 * [taylor]: Taking taylor expansion of -1 in N 2.197 * [backup-simplify]: Simplify -1 into -1 2.197 * [taylor]: Taking taylor expansion of N in N 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ -1 1) into -1 2.198 * [backup-simplify]: Simplify (log -1) into (log -1) 2.198 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.198 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.198 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.198 * [taylor]: Taking taylor expansion of 1 in N 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.198 * [taylor]: Taking taylor expansion of -1 in N 2.198 * [backup-simplify]: Simplify -1 into -1 2.198 * [taylor]: Taking taylor expansion of N in N 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ -1 1) into -1 2.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.199 * [backup-simplify]: Simplify (log -1) into (log -1) 2.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.200 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.202 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.202 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 2.204 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 2.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ 1 0) into 1 2.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.209 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 2.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.214 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 2.215 * [backup-simplify]: Simplify (- 0) into 0 2.216 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 2.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.218 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) 2.219 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 2.221 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 2.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.225 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 2.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.229 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 2.229 * [backup-simplify]: Simplify (- 0) into 0 2.229 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 2.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ 1 0) into 1 2.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.235 * [backup-simplify]: Simplify (- (/ (- (+ (log N) 1) (log -1)) (- (* 2 (log -1)) (* 2 (log N)))) (+ (* (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (/ -1 (- (* 2 (log -1)) (* 2 (log N))))))) into (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) 2.239 * [backup-simplify]: Simplify (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) into (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) 2.239 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [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 2.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.245 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.245 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [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 2.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.250 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 2.250 * [backup-simplify]: Simplify (- 0) into 0 2.251 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.260 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.273 * [backup-simplify]: Simplify (- (/ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (+ (* (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (/ -1/2 (- (* 2 (log -1)) (* 2 (log N))))) (* (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) (/ -1 (- (* 2 (log -1)) (* 2 (log N))))))) into (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N))))) (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3)))))) 2.288 * [backup-simplify]: Simplify (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N))))) (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3)))))) into (- (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))))) 2.308 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (/ (log (/ 1 (- N))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (+ (/ 1 (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2)) (+ (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 3))) (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 3))) (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (/ (log (/ 1 (- N))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (* (/ (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (/ 1 (- N))))) into (- (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (* 2 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2/3 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))))))))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))) (+ (* 2 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3))) (+ (* 2/3 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (/ 1 (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))))))))))) 2.309 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.309 * [backup-simplify]: Simplify (* (log1p N) (log1p N)) into (pow (log1p N) 2) 2.309 * [approximate]: Taking taylor expansion of (pow (log1p N) 2) in (N) around 0 2.309 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.309 * [taylor]: Taking taylor expansion of (log1p N) in N 2.309 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.309 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.309 * [taylor]: Taking taylor expansion of 1 in N 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [taylor]: Taking taylor expansion of N in N 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [backup-simplify]: Simplify (log 1) into 0 2.310 * [backup-simplify]: Simplify (+ 0 1) into 1 2.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.312 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.312 * [taylor]: Taking taylor expansion of (log1p N) in N 2.312 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.312 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.312 * [taylor]: Taking taylor expansion of 1 in N 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (+ 1 0) into 1 2.313 * [backup-simplify]: Simplify (log 1) into 0 2.313 * [backup-simplify]: Simplify (+ 0 1) into 1 2.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.319 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 2.319 * [backup-simplify]: Simplify -1 into -1 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [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 2.325 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* -1/2 -1/2) (* 1/3 1))) into 11/12 2.325 * [backup-simplify]: Simplify 11/12 into 11/12 2.326 * [backup-simplify]: Simplify (+ (* 11/12 (pow N 4)) (+ (* -1 (pow N 3)) (* 1 (pow N 2)))) into (- (+ (* 11/12 (pow N 4)) (pow N 2)) (pow N 3)) 2.326 * [backup-simplify]: Simplify (* (log1p (/ 1 N)) (log1p (/ 1 N))) into (pow (log1p (/ 1 N)) 2) 2.326 * [approximate]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in (N) around 0 2.326 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.326 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.326 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.326 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.326 * [taylor]: Taking taylor expansion of 1 in N 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.326 * [taylor]: Taking taylor expansion of N in N 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [backup-simplify]: Simplify (+ 0 1) into 1 2.327 * [backup-simplify]: Simplify (log 1) into 0 2.328 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.328 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.328 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.328 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.328 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.328 * [taylor]: Taking taylor expansion of 1 in N 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.328 * [taylor]: Taking taylor expansion of N in N 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [backup-simplify]: Simplify (+ 0 1) into 1 2.329 * [backup-simplify]: Simplify (log 1) into 0 2.330 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.330 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.331 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.331 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.331 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 2.331 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ 1 0) into 1 2.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.334 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.335 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.335 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 2.335 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.340 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 2.340 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 2.341 * [backup-simplify]: Simplify (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (+ (* (- (* 2 (log (/ 1 N)))) (/ 1 N)) (pow (log (/ 1 N)) 2))) into (- (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))) (* 2 (/ (log (/ 1 N)) N))) 2.341 * [backup-simplify]: Simplify (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) into (pow (log1p (/ -1 N)) 2) 2.341 * [approximate]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in (N) around 0 2.341 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.341 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.341 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.341 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.341 * [taylor]: Taking taylor expansion of 1 in N 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.341 * [taylor]: Taking taylor expansion of -1 in N 2.341 * [backup-simplify]: Simplify -1 into -1 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (/ -1 1) into -1 2.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.342 * [backup-simplify]: Simplify (log -1) into (log -1) 2.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.343 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.343 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.343 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.343 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.343 * [taylor]: Taking taylor expansion of 1 in N 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.343 * [taylor]: Taking taylor expansion of -1 in N 2.343 * [backup-simplify]: Simplify -1 into -1 2.343 * [taylor]: Taking taylor expansion of N in N 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (/ -1 1) into -1 2.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.345 * [backup-simplify]: Simplify (log -1) into (log -1) 2.346 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.347 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.348 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.348 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.349 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) 2.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ 1 0) into 1 2.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.353 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.354 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 2.355 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 2.356 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.361 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.362 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 2.363 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 2.365 * [backup-simplify]: Simplify (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (+ (pow (log (/ -1 N)) 2) (pow (log -1) 2))))) (+ (* 2 (* (log (/ -1 N)) (log -1))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2))))) 2.365 * * * [progress]: simplifying candidates 2.365 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 2.365 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 2.366 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 24 / 152 ] simplifiying candidate #real (real->posit16 (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (+ (log1p N) (log N))))> 2.367 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 2.367 * * * * [progress]: [ 31 / 152 ] 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[progress]: [ 47 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 60 / 152 ] simplifiying candidate # 2.369 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 62 / 152 ] simplifiying candidate #real (real->posit16 (* (log N) (log N))))) (+ (log1p N) (log N))))> 2.370 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 2.370 * * * * [progress]: 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2.371 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 2.371 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 110 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 112 / 152 ] simplifiying candidate #real (real->posit16 (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))))))> 2.372 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 2.372 * * * * [progress]: 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simplifiying candidate # 2.373 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 139 / 152 ] simplifiying candidate #real (real->posit16 (* (log1p N) (log1p N)))) (* (log N) (log N))) (+ (log1p N) (log N))))> 2.373 * * * * [progress]: [ 140 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 2.373 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 2.375 * [simplify]: Simplifying: (fma (log1p N) (log1p N) (- (* (log N) (log N)))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log1p (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log N) (log N))) (/ (exp (* (log1p N) (log1p N))) (exp (* (log N) (log N)))) (log (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (exp (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (* (- (* (log1p N) (log1p N)) (* (log N) (log N))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (pow (* (log1p N) (log1p N)) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log1p N) (log1p N)) (* (log1p N) (log1p N))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log1p N) (log1p N)) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log1p N) (log1p N)) (* (log1p N) (log1p N))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (- (log1p N) (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log (* (cbrt N) (cbrt N))))) (- (* (log1p N) (log1p N)) (* (log N) (log (sqrt N)))) (- (* (log1p N) (log1p N)) (* (log N) (log 1))) (- (* (log1p N) (log1p N)) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log1p N) (log1p N)) (* (log (sqrt N)) (log N))) (- (* (log1p N) (log1p N)) (* (log 1) (log N))) (- (* (log N) (log N))) (real->posit16 (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (expm1 (* (log N) (log N))) (log1p (* (log N) (log N))) (+ 1 1) (* (log N) (log N)) (+ 1 1) (+ (log (log N)) (log (log N))) (log (* (log N) (log N))) (exp (* (log N) (log N))) (* (* (* (log N) (log N)) (log N)) (* (* (log N) (log N)) (log N))) (* (cbrt (* (log N) (log N))) (cbrt (* (log N) (log N)))) (cbrt (* (log N) (log N))) (* (* (* (log N) (log N)) (* (log N) (log N))) (* (log N) (log N))) (sqrt (* (log N) (log N))) (sqrt (* (log N) (log N))) (* 1 1) (* (log N) (log N)) (* 1 1) (* (log N) (log N)) (* (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N)))) (* (cbrt (log N)) (cbrt (log N))) (* (sqrt (log N)) (sqrt (log N))) (* (sqrt (log N)) (sqrt (log N))) (* 1 1) (* (log N) (log N)) (* 1 1) (* (log N) (log N)) (* (sqrt (log N)) (sqrt (log N))) (* (sqrt (log N)) (sqrt (log N))) (* 2 1) (* (log N) (log (* (cbrt N) (cbrt N)))) (* (log N) (log (cbrt N))) (* (log N) (log (sqrt N))) (* (log N) (log (sqrt N))) (* (log N) (log 1)) (* (log N) (log N)) (* (log (* (cbrt N) (cbrt N))) (log N)) (* (log (cbrt N)) (log N)) (* (log (sqrt N)) (log N)) (* (log (sqrt N)) (log N)) (* (log 1) (log N)) (* (log N) (log N)) (* (log N) 1) (* (log N) (* (cbrt (log N)) (cbrt (log N)))) (* (log N) (sqrt (log N))) (* (log N) 1) (* (log N) (log N)) (* (cbrt (log N)) (log N)) (* (sqrt (log N)) (log N)) (* (log N) (log N)) (real->posit16 (* (log N) (log N))) (expm1 (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (log1p (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (- (log (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log (+ (log1p N) (log N)))) (log (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (exp (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (/ (* (* (- (* (log1p N) (log1p N)) (* (log N) (log N))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (* (+ (log1p N) (log N)) (+ (log1p N) (log N))) (+ (log1p N) (log N)))) (* (cbrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (cbrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))))) (cbrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (* (* (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (sqrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (sqrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (- (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (+ (log1p N) (log N))) (/ (* (log1p N) (log1p N)) (+ (log1p N) (log N))) (/ (* (log N) (log N)) (+ (log1p N) (log N))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (* (cbrt (+ (log1p N) (log N))) (cbrt (+ (log1p N) (log N))))) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (+ (log1p N) (log N)))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (sqrt (+ (log1p N) (log N)))) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (+ (log1p N) (log N)))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) 1) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) 1) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) 1) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (cbrt (+ (log1p N) (log N))) (cbrt (+ (log1p N) (log N))))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (+ (log1p N) (log N)))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log 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(pow N 2))))) 2.378 * * [simplify]: iteration 0: 286 enodes 2.489 * * [simplify]: iteration 1: 858 enodes 2.739 * * [simplify]: iteration 2: 2002 enodes 3.170 * * [simplify]: iteration complete: 2002 enodes 3.170 * * [simplify]: Extracting #0: cost 117 inf + 0 3.172 * * [simplify]: Extracting #1: cost 379 inf + 3 3.175 * * [simplify]: Extracting #2: cost 621 inf + 4680 3.192 * * [simplify]: Extracting #3: cost 370 inf + 83640 3.222 * * [simplify]: Extracting #4: cost 244 inf + 138984 3.260 * * [simplify]: Extracting #5: cost 171 inf + 167940 3.296 * * [simplify]: Extracting #6: cost 95 inf + 195766 3.336 * * [simplify]: Extracting #7: cost 36 inf + 224590 3.398 * * [simplify]: Extracting #8: cost 18 inf + 236170 3.438 * * [simplify]: Extracting #9: cost 7 inf + 245345 3.494 * * [simplify]: Extracting #10: cost 1 inf + 253814 3.549 * * [simplify]: Extracting #11: cost 0 inf + 255999 3.601 * [simplify]: Simplified to: (- (* (log1p N) (log1p N)) (* (log N) (log N))) (fma (- (log N)) (log 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(log1p N)) (* (log1p N) (log1p N)) (fma (* (log N) (log N)) (* (log1p N) (log1p N)) (* (* (log N) (log N)) (* (log N) (log N))))) (+ (log1p N) (log N))) (* (fma (log1p N) (log1p N) (* (log N) (log N))) (+ (log1p N) (log N))) (real->posit16 (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (expm1 (* (log1p N) (log1p N))) (log1p (* (log1p N) (log1p N))) 2 (* (log1p N) (log1p N)) 2 (+ (log (log1p N)) (log (log1p N))) (+ (log (log1p N)) (log (log1p N))) (exp (* (log1p N) (log1p N))) (* (* (log1p N) (* (log1p N) (log1p N))) (* (log1p N) (* (log1p N) (log1p N)))) (* (cbrt (* (log1p N) (log1p N))) (cbrt (* (log1p N) (log1p N)))) (cbrt (* (log1p N) (log1p N))) (* (* (log1p N) (* (log1p N) (log1p N))) (* (log1p N) (* (log1p N) (log1p N)))) (fabs (log1p N)) (fabs (log1p N)) (* (* (cbrt (log1p N)) (cbrt (log1p N))) (* (cbrt (log1p N)) (cbrt (log1p N)))) (* (cbrt (log1p N)) (cbrt (log1p N))) (log1p N) (log1p N) 1 (* (log1p N) (log1p N)) (log1p N) (log1p N) 2 (* (log1p N) (* (cbrt (log1p N)) (cbrt (log1p N)))) (* (sqrt (log1p N)) (log1p N)) (log1p N) (* (log1p N) (cbrt (log1p N))) (* (sqrt (log1p N)) (log1p N)) (* (log1p N) (log1p N)) (real->posit16 (* (log1p N) (log1p N))) (- (* N N) (fma N (* N N) (* (log N) (log N)))) (- (+ (/ (- (log N)) (* N N)) (/ 1 (* N N))) (+ (/ 1 (* (* N N) N)) (fma 2/3 (/ (- (log N)) (* (* N N) N)) (* (/ (- (log N)) N) 2)))) (- (fma (/ (log -1) N) 2 (+ (/ 1 (* N N)) (fma (/ (log -1) (* (* N N) N)) 2/3 (/ (log (/ -1 N)) (* N N))))) (+ (/ 1 (* (* N N) N)) (fma 2/3 (/ (log (/ -1 N)) (* (* N N) N)) (fma (/ (log (/ -1 N)) N) 2 (/ (log -1) (* N N)))))) (* (log N) (log N)) (* (- (log N)) (- (log N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))) (- N (fma (* N N) 1/2 (log N))) (+ (* (/ 1/3 (* N N)) (/ 1 N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1 (* 2 (- (log -1) (log (/ -1 N))))) (* N N)) (- (fma 2 (/ (log -1) (* (* (* N N) N) (* (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N))))) (* 2 (- (log -1) (log (/ -1 N))))))) (fma (/ (/ (log -1) (* 2 (- (log -1) (log (/ -1 N))))) N) 2 (+ (/ (log (/ -1 N)) (* (* 2 (- (log -1) (log (/ -1 N)))) (* N N))) (fma 2 (+ (/ (log -1) (* (* (* N N) N) (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N))))))) (/ (/ (log (/ -1 N)) (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N)))))) (* N N))) (/ (* 2/3 (log -1)) (* (* (* N N) N) (* 2 (- (log -1) (log (/ -1 N)))))))))) (fma 2 (/ (/ (log -1) (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N)))))) (* N N)) (+ (fma 2 (/ (log (/ -1 N)) (* (* 2 (- (log -1) (log (/ -1 N)))) N)) (/ 1 (* (* (* N N) N) (* 2 (- (log -1) (log (/ -1 N))))))) (fma (/ (log (/ -1 N)) (* (* (* N N) N) (* 2 (- (log -1) (log (/ -1 N)))))) 2/3 (+ (/ (/ 1 (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N)))))) (* (* N N) N)) (fma 2 (/ (/ (log (/ -1 N)) (* (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N))))) (* 2 (- (log -1) (log (/ -1 N)))))) (* (* N N) N)) (fma 2 (/ (log (/ -1 N)) (* (* (* N N) N) (* (* 2 (- (log -1) (log (/ -1 N)))) (* 2 (- (log -1) (log (/ -1 N))))))) (/ (log -1) (* (* 2 (- (log -1) (log (/ -1 N)))) (* N N))))))))))) (fma 11/12 (* (* N N) (* N N)) (- (* N N) (* (* N N) N))) (- (+ (fma (- (log N)) (- (log N)) (/ (- (log N)) (* N N))) (/ 1 (* N N))) (* (/ (- (log N)) N) 2)) (- (fma 2 (/ (log -1) N) (+ (+ (/ 1 (* N N)) (/ (log (/ -1 N)) (* N N))) (fma (log (/ -1 N)) (log (/ -1 N)) (* (log -1) (log -1))))) (+ (fma (* 2 (log (/ -1 N))) (log -1) (/ (* 2 (log (/ -1 N))) N)) (/ (log -1) (* N N)))) 3.610 * * * [progress]: adding candidates to table 4.882 * * [progress]: iteration 3 / 4 4.882 * * * [progress]: picking best candidate 4.897 * * * * [pick]: Picked # 4.897 * * * [progress]: localizing error 4.905 * * * [progress]: generating rewritten candidates 4.905 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.909 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.923 * * * [progress]: generating series expansions 4.923 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.923 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 4.923 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 4.923 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.923 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.923 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.923 * [taylor]: Taking taylor expansion of N in N 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 1 into 1 4.923 * [taylor]: Taking taylor expansion of 1 in N 4.923 * [backup-simplify]: Simplify 1 into 1 4.923 * [taylor]: Taking taylor expansion of N in N 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (+ 0 1) into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.924 * [backup-simplify]: Simplify (log 1) into 0 4.924 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.924 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.924 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of 1 in N 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (+ 0 1) into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [backup-simplify]: Simplify (log 1) into 0 4.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.926 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.926 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (+ 0 0) into 0 4.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.930 * [backup-simplify]: Simplify -1/2 into -1/2 4.930 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.930 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 4.930 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 4.930 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.930 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.930 * [taylor]: Taking taylor expansion of N in N 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.930 * [taylor]: Taking taylor expansion of N in N 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of 1 in N 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (+ 1 0) into 1 4.931 * [backup-simplify]: Simplify (* 0 1) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (+ 0 1) into 1 4.932 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.933 * [backup-simplify]: Simplify (log 1) into 0 4.933 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.933 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.933 * [taylor]: Taking taylor expansion of N in N 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.933 * [taylor]: Taking taylor expansion of N in N 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of 1 in N 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (+ 1 0) into 1 4.938 * [backup-simplify]: Simplify (* 0 1) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ 0 1) into 1 4.939 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.939 * [backup-simplify]: Simplify (log 1) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.941 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ 0 0) into 0 4.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.944 * [backup-simplify]: Simplify -1/2 into -1/2 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.949 * [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 4.949 * [backup-simplify]: Simplify 1/3 into 1/3 4.949 * [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)))) 4.949 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 4.949 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 4.949 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.949 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.949 * [taylor]: Taking taylor expansion of -1 in N 4.949 * [backup-simplify]: Simplify -1 into -1 4.949 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.949 * [taylor]: Taking taylor expansion of N in N 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.949 * [taylor]: Taking taylor expansion of 1 in N 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.949 * [taylor]: Taking taylor expansion of N in N 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [backup-simplify]: Simplify (- 1) into -1 4.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.950 * [backup-simplify]: Simplify (* 0 -1) into 0 4.951 * [backup-simplify]: Simplify (* -1 0) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify (+ 1 0) into 1 4.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.952 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.953 * [backup-simplify]: Simplify (log 1) into 0 4.953 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.953 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.953 * [taylor]: Taking taylor expansion of -1 in N 4.953 * [backup-simplify]: Simplify -1 into -1 4.953 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.953 * [taylor]: Taking taylor expansion of N in N 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.953 * [taylor]: Taking taylor expansion of 1 in N 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.953 * [taylor]: Taking taylor expansion of N in N 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (/ 1 1) into 1 4.953 * [backup-simplify]: Simplify (- 1) into -1 4.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.954 * [backup-simplify]: Simplify (* 0 -1) into 0 4.954 * [backup-simplify]: Simplify (* -1 0) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.955 * [backup-simplify]: Simplify (- 0) into 0 4.955 * [backup-simplify]: Simplify (+ 1 0) into 1 4.956 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.956 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.956 * [backup-simplify]: Simplify (log 1) into 0 4.956 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (- 0) into 0 4.957 * [backup-simplify]: Simplify (+ 0 0) into 0 4.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.959 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.959 * [backup-simplify]: Simplify -1 into -1 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (- 0) into 0 4.961 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.962 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.964 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.964 * [backup-simplify]: Simplify -1/2 into -1/2 4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (- 0) into 0 4.965 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.969 * [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 4.969 * [backup-simplify]: Simplify -1/3 into -1/3 4.969 * [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)))) 4.970 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.970 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 4.970 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 4.970 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.970 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.970 * [taylor]: Taking taylor expansion of N in N 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [taylor]: Taking taylor expansion of 1 in N 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [taylor]: Taking taylor expansion of N in N 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (+ 0 1) into 1 4.970 * [backup-simplify]: Simplify (/ 1 1) into 1 4.970 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.970 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.970 * [taylor]: Taking taylor expansion of N in N 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [taylor]: Taking taylor expansion of 1 in N 4.971 * [backup-simplify]: Simplify 1 into 1 4.971 * [taylor]: Taking taylor expansion of N in N 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 1 into 1 4.971 * [backup-simplify]: Simplify (+ 0 1) into 1 4.971 * [backup-simplify]: Simplify (/ 1 1) into 1 4.971 * [backup-simplify]: Simplify 1 into 1 4.971 * [backup-simplify]: Simplify (+ 1 0) into 1 4.972 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify (+ 0 0) into 0 4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (+ 0 0) into 0 4.976 * [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 4.976 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [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 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 4.977 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 4.977 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 4.977 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.978 * [taylor]: Taking taylor expansion of 1 in N 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.978 * [taylor]: Taking taylor expansion of 1 in N 4.978 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (+ 1 0) into 1 4.979 * [backup-simplify]: Simplify (* 0 1) into 0 4.979 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ 0 1) into 1 4.981 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.981 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.984 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.985 * [backup-simplify]: Simplify (+ 0 0) into 0 4.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 4.992 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.996 * [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 4.997 * [backup-simplify]: Simplify (+ 0 0) into 0 4.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.999 * [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 5.000 * [backup-simplify]: Simplify (+ 0 0) into 0 5.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 5.002 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 5.002 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 5.002 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.002 * [taylor]: Taking taylor expansion of -1 in N 5.002 * [backup-simplify]: Simplify -1 into -1 5.002 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.002 * [taylor]: Taking taylor expansion of N in N 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.002 * [taylor]: Taking taylor expansion of 1 in N 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.003 * [taylor]: Taking taylor expansion of N in N 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (/ 1 1) into 1 5.003 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.003 * [taylor]: Taking taylor expansion of -1 in N 5.003 * [backup-simplify]: Simplify -1 into -1 5.003 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.003 * [taylor]: Taking taylor expansion of N in N 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.003 * [taylor]: Taking taylor expansion of 1 in N 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.003 * [taylor]: Taking taylor expansion of N in N 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.004 * [backup-simplify]: Simplify (/ 1 1) into 1 5.004 * [backup-simplify]: Simplify (- 1) into -1 5.005 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.005 * [backup-simplify]: Simplify (* 0 -1) into 0 5.005 * [backup-simplify]: Simplify (* -1 0) into 0 5.005 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (- 0) into 0 5.007 * [backup-simplify]: Simplify (+ 1 0) into 1 5.008 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.008 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.008 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.010 * [backup-simplify]: Simplify (- 0) into 0 5.010 * [backup-simplify]: Simplify (+ 0 0) into 0 5.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.012 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.012 * [backup-simplify]: Simplify -1 into -1 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (- 0) into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.017 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.018 * [backup-simplify]: Simplify (- 0) into 0 5.018 * [backup-simplify]: Simplify (+ 0 0) into 0 5.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.021 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.021 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (- 0) into 0 5.023 * [backup-simplify]: Simplify (+ 0 0) into 0 5.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 5.027 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (- 0) into 0 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 5.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.034 * [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 5.035 * [backup-simplify]: Simplify (- 0) into 0 5.035 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 5.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 5.039 * [backup-simplify]: Simplify 0 into 0 5.041 * [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 5.041 * [backup-simplify]: Simplify (- 0) into 0 5.041 * [backup-simplify]: Simplify (+ 0 0) into 0 5.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 5.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 5.046 * * * [progress]: simplifying candidates 5.046 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 5.046 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 5.046 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 5.047 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 5.048 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 5.049 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 5.049 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 5.050 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 5.051 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 5.051 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 5.052 * [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) 5.054 * * [simplify]: iteration 0: 106 enodes 5.114 * * [simplify]: iteration 1: 244 enodes 5.199 * * [simplify]: iteration 2: 583 enodes 5.382 * * [simplify]: iteration 3: 2001 enodes 5.834 * * [simplify]: iteration complete: 2001 enodes 5.834 * * [simplify]: Extracting #0: cost 70 inf + 0 5.835 * * [simplify]: Extracting #1: cost 338 inf + 2 5.837 * * [simplify]: Extracting #2: cost 713 inf + 3667 5.844 * * [simplify]: Extracting #3: cost 442 inf + 46736 5.866 * * [simplify]: Extracting #4: cost 90 inf + 107796 5.888 * * [simplify]: Extracting #5: cost 2 inf + 132930 5.907 * * [simplify]: Extracting #6: cost 0 inf + 133436 5.927 * [simplify]: Simplified to: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (* (/ (cbrt (+ 1 N)) (sqrt N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (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))) (log (/ (sqrt (+ 1 N)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 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) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 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 N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (* (/ (cbrt (+ 1 N)) (sqrt N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (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)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma 1/2 (* N N) (log N))) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 5.930 * * * [progress]: adding candidates to table 6.473 * * [progress]: iteration 4 / 4 6.473 * * * [progress]: picking best candidate 6.497 * * * * [pick]: Picked # 6.497 * * * [progress]: localizing error 6.514 * * * [progress]: generating rewritten candidates 6.514 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.521 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.556 * * * [progress]: generating series expansions 6.556 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.556 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 6.556 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.556 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.556 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.556 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.556 * [taylor]: Taking taylor expansion of N in N 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [taylor]: Taking taylor expansion of 1 in N 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [taylor]: Taking taylor expansion of N in N 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify (+ 0 1) into 1 6.557 * [backup-simplify]: Simplify (/ 1 1) into 1 6.558 * [backup-simplify]: Simplify (log 1) into 0 6.558 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.558 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.558 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.558 * [taylor]: Taking taylor expansion of N in N 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [taylor]: Taking taylor expansion of 1 in N 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [taylor]: Taking taylor expansion of N in N 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.559 * [backup-simplify]: Simplify (+ 0 1) into 1 6.559 * [backup-simplify]: Simplify (/ 1 1) into 1 6.559 * [backup-simplify]: Simplify (log 1) into 0 6.560 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.560 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.560 * [backup-simplify]: Simplify (+ 1 0) into 1 6.561 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.562 * [backup-simplify]: Simplify 1 into 1 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.567 * [backup-simplify]: Simplify -1/2 into -1/2 6.567 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.567 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 6.567 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.567 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.567 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.567 * [taylor]: Taking taylor expansion of N in N 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.567 * [taylor]: Taking taylor expansion of N in N 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.568 * [backup-simplify]: Simplify (/ 1 1) into 1 6.568 * [taylor]: Taking taylor expansion of 1 in N 6.568 * [backup-simplify]: Simplify 1 into 1 6.568 * [backup-simplify]: Simplify (+ 1 0) into 1 6.569 * [backup-simplify]: Simplify (* 0 1) into 0 6.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ 0 1) into 1 6.576 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.576 * [backup-simplify]: Simplify (log 1) into 0 6.576 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.576 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.576 * [taylor]: Taking taylor expansion of N in N 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.576 * [taylor]: Taking taylor expansion of N in N 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [taylor]: Taking taylor expansion of 1 in N 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (+ 1 0) into 1 6.578 * [backup-simplify]: Simplify (* 0 1) into 0 6.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.579 * [backup-simplify]: Simplify (+ 0 1) into 1 6.580 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.580 * [backup-simplify]: Simplify (log 1) into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.584 * [backup-simplify]: Simplify 1 into 1 6.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify (+ 0 0) into 0 6.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.590 * [backup-simplify]: Simplify -1/2 into -1/2 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (+ 0 0) into 0 6.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.598 * [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 6.598 * [backup-simplify]: Simplify 1/3 into 1/3 6.598 * [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)))) 6.599 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.599 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.599 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.599 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.599 * [taylor]: Taking taylor expansion of -1 in N 6.599 * [backup-simplify]: Simplify -1 into -1 6.599 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.599 * [taylor]: Taking taylor expansion of N in N 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 1 into 1 6.599 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.599 * [taylor]: Taking taylor expansion of 1 in N 6.599 * [backup-simplify]: Simplify 1 into 1 6.599 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.599 * [taylor]: Taking taylor expansion of N in N 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 1 into 1 6.600 * [backup-simplify]: Simplify (/ 1 1) into 1 6.600 * [backup-simplify]: Simplify (- 1) into -1 6.601 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.601 * [backup-simplify]: Simplify (* 0 -1) into 0 6.601 * [backup-simplify]: Simplify (* -1 0) into 0 6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (- 0) into 0 6.603 * [backup-simplify]: Simplify (+ 1 0) into 1 6.604 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.604 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.605 * [backup-simplify]: Simplify (log 1) into 0 6.605 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.605 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.605 * [taylor]: Taking taylor expansion of -1 in N 6.605 * [backup-simplify]: Simplify -1 into -1 6.605 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.605 * [taylor]: Taking taylor expansion of N in N 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.605 * [taylor]: Taking taylor expansion of 1 in N 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.605 * [taylor]: Taking taylor expansion of N in N 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (/ 1 1) into 1 6.606 * [backup-simplify]: Simplify (- 1) into -1 6.606 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.607 * [backup-simplify]: Simplify (* 0 -1) into 0 6.607 * [backup-simplify]: Simplify (* -1 0) into 0 6.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.609 * [backup-simplify]: Simplify (- 0) into 0 6.609 * [backup-simplify]: Simplify (+ 1 0) into 1 6.610 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.610 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.611 * [backup-simplify]: Simplify (log 1) into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (- 0) into 0 6.613 * [backup-simplify]: Simplify (+ 0 0) into 0 6.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.615 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.616 * [backup-simplify]: Simplify -1 into -1 6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (- 0) into 0 6.618 * [backup-simplify]: Simplify (+ 0 0) into 0 6.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.624 * [backup-simplify]: Simplify -1/2 into -1/2 6.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (- 0) into 0 6.626 * [backup-simplify]: Simplify (+ 0 0) into 0 6.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.634 * [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 6.634 * [backup-simplify]: Simplify -1/3 into -1/3 6.635 * [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)))) 6.635 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.635 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 N) N)))) into (log (/ (+ N 1) N)) 6.635 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.635 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.635 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.635 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.635 * [taylor]: Taking taylor expansion of N in N 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of 1 in N 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of N in N 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (+ 0 1) into 1 6.636 * [backup-simplify]: Simplify (/ 1 1) into 1 6.637 * [backup-simplify]: Simplify (log 1) into 0 6.637 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.637 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.637 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.637 * [taylor]: Taking taylor expansion of N in N 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [taylor]: Taking taylor expansion of 1 in N 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [taylor]: Taking taylor expansion of N in N 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [backup-simplify]: Simplify (+ 0 1) into 1 6.638 * [backup-simplify]: Simplify (/ 1 1) into 1 6.638 * [backup-simplify]: Simplify (log 1) into 0 6.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.639 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.639 * [backup-simplify]: Simplify (+ 1 0) into 1 6.640 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.642 * [backup-simplify]: Simplify 1 into 1 6.642 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.646 * [backup-simplify]: Simplify -1/2 into -1/2 6.646 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.646 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1))) 6.646 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.646 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.646 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.646 * [taylor]: Taking taylor expansion of N in N 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.646 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.646 * [taylor]: Taking taylor expansion of N in N 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.647 * [backup-simplify]: Simplify (/ 1 1) into 1 6.647 * [taylor]: Taking taylor expansion of 1 in N 6.647 * [backup-simplify]: Simplify 1 into 1 6.647 * [backup-simplify]: Simplify (+ 1 0) into 1 6.648 * [backup-simplify]: Simplify (* 0 1) into 0 6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.649 * [backup-simplify]: Simplify (+ 0 1) into 1 6.650 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.650 * [backup-simplify]: Simplify (log 1) into 0 6.650 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.650 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.650 * [taylor]: Taking taylor expansion of N in N 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 1 into 1 6.650 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.651 * [taylor]: Taking taylor expansion of N in N 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (/ 1 1) into 1 6.651 * [taylor]: Taking taylor expansion of 1 in N 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (+ 1 0) into 1 6.652 * [backup-simplify]: Simplify (* 0 1) into 0 6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.653 * [backup-simplify]: Simplify (+ 0 1) into 1 6.654 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.654 * [backup-simplify]: Simplify (log 1) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.658 * [backup-simplify]: Simplify 1 into 1 6.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.663 * [backup-simplify]: Simplify -1/2 into -1/2 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.665 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.671 * [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 6.671 * [backup-simplify]: Simplify 1/3 into 1/3 6.672 * [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)))) 6.672 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.672 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.672 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.672 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.672 * [taylor]: Taking taylor expansion of -1 in N 6.672 * [backup-simplify]: Simplify -1 into -1 6.672 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.672 * [taylor]: Taking taylor expansion of N in N 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.672 * [taylor]: Taking taylor expansion of 1 in N 6.672 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.673 * [taylor]: Taking taylor expansion of N in N 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (/ 1 1) into 1 6.674 * [backup-simplify]: Simplify (- 1) into -1 6.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.675 * [backup-simplify]: Simplify (* 0 -1) into 0 6.675 * [backup-simplify]: Simplify (* -1 0) into 0 6.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (- 0) into 0 6.677 * [backup-simplify]: Simplify (+ 1 0) into 1 6.677 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.678 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.679 * [backup-simplify]: Simplify (log 1) into 0 6.679 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.679 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.679 * [taylor]: Taking taylor expansion of -1 in N 6.679 * [backup-simplify]: Simplify -1 into -1 6.679 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.679 * [taylor]: Taking taylor expansion of N in N 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.679 * [taylor]: Taking taylor expansion of 1 in N 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.679 * [taylor]: Taking taylor expansion of N in N 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [backup-simplify]: Simplify (/ 1 1) into 1 6.680 * [backup-simplify]: Simplify (- 1) into -1 6.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.681 * [backup-simplify]: Simplify (* 0 -1) into 0 6.681 * [backup-simplify]: Simplify (* -1 0) into 0 6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.682 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ 1 0) into 1 6.683 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.684 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.685 * [backup-simplify]: Simplify (log 1) into 0 6.685 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.686 * [backup-simplify]: Simplify (- 0) into 0 6.686 * [backup-simplify]: Simplify (+ 0 0) into 0 6.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.688 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.690 * [backup-simplify]: Simplify -1 into -1 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.691 * [backup-simplify]: Simplify (- 0) into 0 6.692 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.694 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.698 * [backup-simplify]: Simplify -1/2 into -1/2 6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (- 0) into 0 6.699 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.703 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.708 * [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 6.708 * [backup-simplify]: Simplify -1/3 into -1/3 6.709 * [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)))) 6.709 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.709 * [backup-simplify]: Simplify (log (log (/ (+ 1 N) N))) into (log (log (/ (+ N 1) N))) 6.709 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in (N) around 0 6.709 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 6.709 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.709 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.709 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.709 * [taylor]: Taking taylor expansion of N in N 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [taylor]: Taking taylor expansion of 1 in N 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [taylor]: Taking taylor expansion of N in N 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (+ 0 1) into 1 6.711 * [backup-simplify]: Simplify (/ 1 1) into 1 6.711 * [backup-simplify]: Simplify (log 1) into 0 6.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.712 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 6.712 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 6.712 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.712 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.712 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.712 * [taylor]: Taking taylor expansion of N in N 6.712 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify 1 into 1 6.712 * [taylor]: Taking taylor expansion of 1 in N 6.712 * [backup-simplify]: Simplify 1 into 1 6.712 * [taylor]: Taking taylor expansion of N in N 6.712 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (+ 0 1) into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [backup-simplify]: Simplify (log 1) into 0 6.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.715 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.715 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 6.715 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 6.715 * [backup-simplify]: Simplify (+ 1 0) into 1 6.716 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.718 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 6.719 * [backup-simplify]: Simplify (/ -1 (log N)) into (/ -1 (log N)) 6.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.720 * [backup-simplify]: Simplify (+ 0 0) into 0 6.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 6.726 * [backup-simplify]: Simplify (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 6.726 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) (pow N 2)) (+ (* (/ -1 (log N)) N) (log (- (log N))))) into (- (+ (* 1/2 (/ (pow N 2) (log N))) (log (- (log N)))) (+ (/ N (log N)) (* 1/2 (/ (pow N 2) (pow (log N) 2))))) 6.726 * [backup-simplify]: Simplify (log (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (log (* N (+ (/ 1 N) 1)))) 6.727 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in (N) around 0 6.727 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 6.727 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.727 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.727 * [taylor]: Taking taylor expansion of N in N 6.727 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify 1 into 1 6.727 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.727 * [taylor]: Taking taylor expansion of N in N 6.727 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (/ 1 1) into 1 6.733 * [taylor]: Taking taylor expansion of 1 in N 6.733 * [backup-simplify]: Simplify 1 into 1 6.734 * [backup-simplify]: Simplify (+ 1 0) into 1 6.735 * [backup-simplify]: Simplify (* 0 1) into 0 6.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.736 * [backup-simplify]: Simplify (+ 0 1) into 1 6.737 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.737 * [backup-simplify]: Simplify (log 1) into 0 6.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.738 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.741 * [backup-simplify]: Simplify (log 1) into 0 6.741 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 6.741 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.741 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.741 * [taylor]: Taking taylor expansion of N in N 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify 1 into 1 6.741 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.741 * [taylor]: Taking taylor expansion of N in N 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (/ 1 1) into 1 6.742 * [taylor]: Taking taylor expansion of 1 in N 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (+ 1 0) into 1 6.743 * [backup-simplify]: Simplify (* 0 1) into 0 6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.744 * [backup-simplify]: Simplify (+ 0 1) into 1 6.745 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.745 * [backup-simplify]: Simplify (log 1) into 0 6.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.746 * [backup-simplify]: Simplify (+ 0 0) into 0 6.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.749 * [backup-simplify]: Simplify (log 1) into 0 6.750 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.750 * [backup-simplify]: Simplify (log N) into (log N) 6.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 6.757 * [backup-simplify]: Simplify -1/2 into -1/2 6.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.758 * [backup-simplify]: Simplify (+ 0 0) into 0 6.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.765 * [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 6.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 6.768 * [backup-simplify]: Simplify 5/24 into 5/24 6.769 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 N) 2)) (+ (* -1/2 (/ 1 N)) (log (/ 1 N)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) 6.769 * [backup-simplify]: Simplify (log (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (log (* -1 (* N (- 1 (/ 1 N)))))) 6.769 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 6.769 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 6.769 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.769 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.769 * [taylor]: Taking taylor expansion of -1 in N 6.769 * [backup-simplify]: Simplify -1 into -1 6.769 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.769 * [taylor]: Taking taylor expansion of N in N 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.769 * [taylor]: Taking taylor expansion of 1 in N 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.769 * [taylor]: Taking taylor expansion of N in N 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [backup-simplify]: Simplify (- 1) into -1 6.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.771 * [backup-simplify]: Simplify (* 0 -1) into 0 6.772 * [backup-simplify]: Simplify (* -1 0) into 0 6.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (- 0) into 0 6.773 * [backup-simplify]: Simplify (+ 1 0) into 1 6.774 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.775 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.775 * [backup-simplify]: Simplify (log 1) into 0 6.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify (+ 0 0) into 0 6.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.779 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.781 * [backup-simplify]: Simplify (log -1) into (log -1) 6.781 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 6.781 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.781 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.781 * [taylor]: Taking taylor expansion of -1 in N 6.781 * [backup-simplify]: Simplify -1 into -1 6.781 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.781 * [taylor]: Taking taylor expansion of N in N 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify 1 into 1 6.781 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.781 * [taylor]: Taking taylor expansion of 1 in N 6.781 * [backup-simplify]: Simplify 1 into 1 6.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.781 * [taylor]: Taking taylor expansion of N in N 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify 1 into 1 6.782 * [backup-simplify]: Simplify (/ 1 1) into 1 6.782 * [backup-simplify]: Simplify (- 1) into -1 6.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.783 * [backup-simplify]: Simplify (* 0 -1) into 0 6.784 * [backup-simplify]: Simplify (* -1 0) into 0 6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.785 * [backup-simplify]: Simplify (+ 1 0) into 1 6.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.786 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.787 * [backup-simplify]: Simplify (log 1) into 0 6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (- 0) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.791 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.792 * [backup-simplify]: Simplify (log -1) into (log -1) 6.793 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 6.794 * [backup-simplify]: Simplify (+ (log N) (log -1)) into (+ (log N) (log -1)) 6.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.795 * [backup-simplify]: Simplify (- 0) into 0 6.795 * [backup-simplify]: Simplify (+ 0 0) into 0 6.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.798 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 6.803 * [backup-simplify]: Simplify 1/2 into 1/2 6.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.804 * [backup-simplify]: Simplify (- 0) into 0 6.805 * [backup-simplify]: Simplify (+ 0 0) into 0 6.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.813 * [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 6.816 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 6.816 * [backup-simplify]: Simplify 5/24 into 5/24 6.817 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 (- N)) 2)) (+ (* 1/2 (/ 1 (- N))) (+ (log (/ 1 (- N))) (log -1)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) 6.817 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.817 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 6.817 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 6.817 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.817 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.817 * [taylor]: Taking taylor expansion of N in N 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [taylor]: Taking taylor expansion of 1 in N 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [taylor]: Taking taylor expansion of N in N 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.818 * [backup-simplify]: Simplify (+ 0 1) into 1 6.819 * [backup-simplify]: Simplify (/ 1 1) into 1 6.819 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.819 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.819 * [taylor]: Taking taylor expansion of N in N 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [taylor]: Taking taylor expansion of 1 in N 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [taylor]: Taking taylor expansion of N in N 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [backup-simplify]: Simplify (+ 0 1) into 1 6.820 * [backup-simplify]: Simplify (/ 1 1) into 1 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [backup-simplify]: Simplify (+ 1 0) into 1 6.821 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.821 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (+ 0 0) into 0 6.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify (+ 0 0) into 0 6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (+ 0 0) into 0 6.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify (+ 0 0) into 0 6.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify (+ 0 0) into 0 6.828 * [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 6.828 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.830 * [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 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 6.830 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 6.830 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 6.830 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.830 * [taylor]: Taking taylor expansion of N in N 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.830 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.830 * [taylor]: Taking taylor expansion of N in N 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (/ 1 1) into 1 6.831 * [taylor]: Taking taylor expansion of 1 in N 6.831 * [backup-simplify]: Simplify 1 into 1 6.831 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.831 * [taylor]: Taking taylor expansion of N in N 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 1 into 1 6.831 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.831 * [taylor]: Taking taylor expansion of N in N 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (/ 1 1) into 1 6.831 * [taylor]: Taking taylor expansion of 1 in N 6.832 * [backup-simplify]: Simplify 1 into 1 6.832 * [backup-simplify]: Simplify (+ 1 0) into 1 6.832 * [backup-simplify]: Simplify (* 0 1) into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (+ 0 1) into 1 6.834 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.834 * [backup-simplify]: Simplify 1 into 1 6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify (+ 0 0) into 0 6.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.837 * [backup-simplify]: Simplify 1 into 1 6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (+ 0 0) into 0 6.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.839 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (+ 0 0) into 0 6.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 0) into 0 6.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 6.848 * [backup-simplify]: Simplify 0 into 0 6.849 * [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 6.850 * [backup-simplify]: Simplify (+ 0 0) into 0 6.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 6.851 * [backup-simplify]: Simplify 0 into 0 6.852 * [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 6.853 * [backup-simplify]: Simplify (+ 0 0) into 0 6.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 6.855 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 6.855 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 6.855 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.855 * [taylor]: Taking taylor expansion of -1 in N 6.855 * [backup-simplify]: Simplify -1 into -1 6.855 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.855 * [taylor]: Taking taylor expansion of N in N 6.855 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify 1 into 1 6.856 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.856 * [taylor]: Taking taylor expansion of 1 in N 6.856 * [backup-simplify]: Simplify 1 into 1 6.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.856 * [taylor]: Taking taylor expansion of N in N 6.856 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify 1 into 1 6.856 * [backup-simplify]: Simplify (/ 1 1) into 1 6.856 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.856 * [taylor]: Taking taylor expansion of -1 in N 6.856 * [backup-simplify]: Simplify -1 into -1 6.856 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.856 * [taylor]: Taking taylor expansion of N in N 6.856 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify 1 into 1 6.856 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.856 * [taylor]: Taking taylor expansion of 1 in N 6.856 * [backup-simplify]: Simplify 1 into 1 6.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.856 * [taylor]: Taking taylor expansion of N in N 6.856 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (/ 1 1) into 1 6.857 * [backup-simplify]: Simplify (- 1) into -1 6.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.858 * [backup-simplify]: Simplify (* 0 -1) into 0 6.859 * [backup-simplify]: Simplify (* -1 0) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (- 0) into 0 6.861 * [backup-simplify]: Simplify (+ 1 0) into 1 6.861 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.862 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.862 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.866 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.866 * [backup-simplify]: Simplify -1 into -1 6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.868 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.873 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.877 * [backup-simplify]: Simplify (- 0) into 0 6.877 * [backup-simplify]: Simplify (+ 0 0) into 0 6.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 6.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 6.881 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (- 0) into 0 6.883 * [backup-simplify]: Simplify (+ 0 0) into 0 6.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 6.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.893 * [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 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.894 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 6.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.899 * [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 6.900 * [backup-simplify]: Simplify (- 0) into 0 6.900 * [backup-simplify]: Simplify (+ 0 0) into 0 6.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 6.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 6.905 * * * [progress]: simplifying candidates 6.905 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 6.905 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 6.905 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 6.905 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 6.905 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 18 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 6.906 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 26 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 29 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 30 / 113 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 6.907 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 36 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 6.907 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 42 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 49 / 113 ] simplifiying candidate #real (real->posit16 (exp (log (log (/ (+ 1 N) N)))))))> 6.908 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 53 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 6.908 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 65 / 113 ] simplifiying candidate #real (real->posit16 (log (log (/ (+ 1 N) N)))))))> 6.909 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 70 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 6.909 * * * * [progress]: [ 73 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 77 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 79 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 80 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 88 / 113 ] simplifiying candidate # 6.910 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 100 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 101 / 113 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))))> 6.911 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 6.911 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 6.912 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 6.914 * [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 (exp (log (log (/ (+ 1 N) N))))) (log1p (exp (log (log (/ (+ 1 N) N))))) (exp 1) (exp (* (cbrt (log (log (/ (+ 1 N) N)))) (cbrt (log (log (/ (+ 1 N) N)))))) (exp (sqrt (log (log (/ (+ 1 N) N))))) (exp 1) (exp (log 1)) (exp (log (log (/ (+ 1 N) N)))) (exp (log (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))))) (exp (log (cbrt (log (/ (+ 1 N) N))))) (exp (log (sqrt (log (/ (+ 1 N) N))))) (exp (log (sqrt (log (/ (+ 1 N) N))))) (exp (log 1)) (exp (log (log (/ (+ 1 N) N)))) (log (exp (log (log (/ (+ 1 N) N))))) (exp (exp (log (log (/ (+ 1 N) N))))) (* (cbrt (exp (log (log (/ (+ 1 N) N))))) (cbrt (exp (log (log (/ (+ 1 N) N)))))) (cbrt (exp (log (log (/ (+ 1 N) N))))) (* (* (exp (log (log (/ (+ 1 N) N)))) (exp (log (log (/ (+ 1 N) N))))) (exp (log (log (/ (+ 1 N) N))))) (sqrt (exp (log (log (/ (+ 1 N) N))))) (sqrt (exp (log (log (/ (+ 1 N) N))))) (real->posit16 (exp (log (log (/ (+ 1 N) N))))) (expm1 (log (log (/ (+ 1 N) N)))) (log1p (log (log (/ (+ 1 N) N)))) (log 1) (log (log (/ (+ 1 N) N))) (log (* (cbrt (log (/ (+ 1 N) N))) (cbrt 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1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ (pow N 2) (log N))) (log (- (log N)))) (+ (/ N (log N)) (* 1/2 (/ (pow N 2) (pow (log N) 2))))) (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 6.917 * * [simplify]: iteration 0: 159 enodes 6.992 * * [simplify]: iteration 1: 343 enodes 7.121 * * [simplify]: iteration 2: 806 enodes 7.368 * * [simplify]: iteration 3: 2005 enodes 7.710 * * [simplify]: iteration complete: 2005 enodes 7.710 * * [simplify]: Extracting #0: cost 87 inf + 0 7.711 * * [simplify]: Extracting #1: cost 378 inf + 3 7.713 * * [simplify]: Extracting #2: cost 707 inf + 4003 7.722 * * [simplify]: Extracting #3: cost 391 inf + 51176 7.756 * * [simplify]: Extracting #4: cost 98 inf + 111382 7.777 * * [simplify]: Extracting #5: cost 37 inf + 127341 7.806 * * [simplify]: Extracting #6: cost 0 inf + 137539 7.834 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (+ (log (cbrt (/ (+ N 1) N))) (log (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)) (cbrt (+ N 1))) (sqrt N))) (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 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(cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (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) (* N (- 1 N)) (real->posit16 (/ (+ N 1) N)) (- N (fma (* N N) 1/2 (log N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (- N (fma (* N N) 1/2 (log N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (fma (/ (* N N) (log N)) 1/2 (- (log (- (log N))) (fma (/ (/ (* N N) (log N)) (log N)) 1/2 (/ N (log N))))) (+ (- (/ 5/24 (* N N)) (log N)) (/ -1/2 N)) (+ (/ -1/2 N) (+ (/ 5/24 (* N N)) (- (+ (log -1) (log -1)) (log N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 7.842 * * * [progress]: adding candidates to table 8.679 * [progress]: [Phase 3 of 3] Extracting. 8.679 * * [regime]: Finding splitpoints for: (# # # # # #) 8.680 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.680 * * * * [regimes]: Trying to branch on N from (# # # # # #) 8.722 * * * [regime]: Found split indices: #